0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n033.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:52:39 CST 2018
0.00/0.27	% done 64 iterations in 0.065s
0.00/0.27	% SZS status Theorem for 'stdin'
0.00/0.27	% SZS output start Refutation
0.00/0.27	tff(zf_stmt_3, conjecture,
0.00/0.27	  (![R:app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.27	     S:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a]:
0.00/0.27	     ((![Xq:app_encode_fun(a,$o)]:
0.00/0.27	         (((![Xw:a]:
0.00/0.27	              ((app_encode_app(a,$o,
0.00/0.27	                               app_encode_app(a,app_encode_fun(a,$o),R,Xx),Xw) | 
0.00/0.27	                app_encode_app(a,$o,
0.00/0.27	                               app_encode_app(a,app_encode_fun(a,$o),S,Xx),Xw)) =>
0.00/0.27	               app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.27	           (![Xu:a,Xv:a]:
0.00/0.27	              ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.27	                (app_encode_app(a,$o,
0.00/0.27	                                app_encode_app(a,app_encode_fun(a,$o),R,Xu),
0.00/0.27	                                Xv) | 
0.00/0.27	                 app_encode_app(a,$o,
0.00/0.27	                                app_encode_app(a,app_encode_fun(a,$o),S,Xu),
0.00/0.27	                                Xv))) =>
0.00/0.27	               app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.27	          app_encode_app(a,$o,Xq,Xy))) =>
0.00/0.27	      (![Xq:app_encode_fun(a,$o)]:
0.00/0.27	         (((![Xw:a]:
0.00/0.27	              (((![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                   (((![Xw0:a]:
0.00/0.27	                        (app_encode_app(a,$o,
0.00/0.27	                                        app_encode_app(a,
0.00/0.27	                                                       app_encode_fun(a,$o),
0.00/0.27	                                                       R,Xx),
0.00/0.27	                                        Xw0) =>
0.00/0.27	                         app_encode_app(a,$o,Xq0,Xw0))) & 
0.00/0.27	                     (![Xu:a,Xv:a]:
0.00/0.27	                        ((app_encode_app(a,$o,Xq0,Xu) & 
0.00/0.27	                          app_encode_app(a,$o,
0.00/0.27	                                         app_encode_app(a,
0.00/0.27	                                                        app_encode_fun(a,$o),
0.00/0.27	                                                        R,Xu),
0.00/0.27	                                         Xv)) =>
0.00/0.27	                         app_encode_app(a,$o,Xq0,Xv)))) =>
0.00/0.27	                    app_encode_app(a,$o,Xq0,Xw))) | 
0.00/0.27	                (![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                   (((![Xw0:a]:
0.00/0.27	                        (app_encode_app(a,$o,
0.00/0.27	                                        app_encode_app(a,
0.00/0.27	                                                       app_encode_fun(a,$o),
0.00/0.27	                                                       S,Xx),
0.00/0.27	                                        Xw0) =>
0.00/0.27	                         app_encode_app(a,$o,Xq0,Xw0))) & 
0.00/0.27	                     (![Xu:a,Xv:a]:
0.00/0.27	                        ((app_encode_app(a,$o,Xq0,Xu) & 
0.00/0.27	                          app_encode_app(a,$o,
0.00/0.27	                                         app_encode_app(a,
0.00/0.27	                                                        app_encode_fun(a,$o),
0.00/0.27	                                                        S,Xu),
0.00/0.27	                                         Xv)) =>
0.00/0.27	                         app_encode_app(a,$o,Xq0,Xv)))) =>
0.00/0.27	                    app_encode_app(a,$o,Xq0,Xw)))) =>
0.00/0.27	               app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.27	           (![Xu:a,Xv:a]:
0.00/0.27	              ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.27	                ((![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                    (((![Xw:a]:
0.00/0.27	                         (app_encode_app(a,$o,
0.00/0.27	                                         app_encode_app(a,
0.00/0.27	                                                        app_encode_fun(a,$o),
0.00/0.27	                                                        R,Xu),
0.00/0.27	                                         Xw) =>
0.00/0.27	                          app_encode_app(a,$o,Xq0,Xw))) & 
0.00/0.27	                      (![Xu0:a,Xv0:a]:
0.00/0.27	                         ((app_encode_app(a,$o,Xq0,Xu0) & 
0.00/0.27	                           app_encode_app(a,$o,
0.00/0.27	                                          app_encode_app(a,
0.00/0.27	                                                         app_encode_fun(a,$o),
0.00/0.27	                                                         R,Xu0),
0.00/0.27	                                          Xv0)) =>
0.00/0.27	                          app_encode_app(a,$o,Xq0,Xv0)))) =>
0.00/0.27	                     app_encode_app(a,$o,Xq0,Xv))) | 
0.00/0.27	                 (![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                    (((![Xw:a]:
0.00/0.27	                         (app_encode_app(a,$o,
0.00/0.27	                                         app_encode_app(a,
0.00/0.27	                                                        app_encode_fun(a,$o),
0.00/0.27	                                                        S,Xu),
0.00/0.27	                                         Xw) =>
0.00/0.27	                          app_encode_app(a,$o,Xq0,Xw))) & 
0.00/0.27	                      (![Xu0:a,Xv0:a]:
0.00/0.27	                         ((app_encode_app(a,$o,Xq0,Xu0) & 
0.00/0.27	                           app_encode_app(a,$o,
0.00/0.27	                                          app_encode_app(a,
0.00/0.27	                                                         app_encode_fun(a,$o),
0.00/0.27	                                                         S,Xu0),
0.00/0.27	                                          Xv0)) =>
0.00/0.27	                          app_encode_app(a,$o,Xq0,Xv0)))) =>
0.00/0.27	                     app_encode_app(a,$o,Xq0,Xv))))) =>
0.00/0.27	               app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.27	          app_encode_app(a,$o,Xq,Xy)))))).
0.00/0.27	tff(zf_stmt_0, negated_conjecture,
0.00/0.27	  (~
0.00/0.27	    (![R:app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.27	       S:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a]:
0.00/0.27	       ((![Xq:app_encode_fun(a,$o)]:
0.00/0.27	           (((![Xw:a]:
0.00/0.27	                ((app_encode_app(a,$o,
0.00/0.27	                                 app_encode_app(a,app_encode_fun(a,$o),R,Xx),
0.00/0.27	                                 Xw) | 
0.00/0.27	                  app_encode_app(a,$o,
0.00/0.27	                                 app_encode_app(a,app_encode_fun(a,$o),S,Xx),
0.00/0.27	                                 Xw)) =>
0.00/0.27	                 app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.27	             (![Xu:a,Xv:a]:
0.00/0.27	                ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.27	                  (app_encode_app(a,$o,
0.00/0.27	                                  app_encode_app(a,app_encode_fun(a,$o),R,Xu),
0.00/0.27	                                  Xv) | 
0.00/0.27	                   app_encode_app(a,$o,
0.00/0.27	                                  app_encode_app(a,app_encode_fun(a,$o),S,Xu),
0.00/0.27	                                  Xv))) =>
0.00/0.27	                 app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.27	            app_encode_app(a,$o,Xq,Xy))) =>
0.00/0.27	        (![Xq:app_encode_fun(a,$o)]:
0.00/0.27	           (((![Xw:a]:
0.00/0.27	                (((![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                     (((![Xw0:a]:
0.00/0.27	                          (app_encode_app(a,$o,
0.00/0.27	                                          app_encode_app(a,
0.00/0.27	                                                         app_encode_fun(a,$o),
0.00/0.27	                                                         R,Xx),
0.00/0.27	                                          Xw0) =>
0.00/0.27	                           app_encode_app(a,$o,Xq0,Xw0))) & 
0.00/0.27	                       (![Xu:a,Xv:a]:
0.00/0.27	                          ((app_encode_app(a,$o,Xq0,Xu) & 
0.00/0.27	                            app_encode_app(a,$o,
0.00/0.27	                                           app_encode_app(a,
0.00/0.27	                                                          app_encode_fun(
0.00/0.27	                                                          a,$o),R,Xu),
0.00/0.27	                                           Xv)) =>
0.00/0.27	                           app_encode_app(a,$o,Xq0,Xv)))) =>
0.00/0.27	                      app_encode_app(a,$o,Xq0,Xw))) | 
0.00/0.27	                  (![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                     (((![Xw0:a]:
0.00/0.27	                          (app_encode_app(a,$o,
0.00/0.27	                                          app_encode_app(a,
0.00/0.27	                                                         app_encode_fun(a,$o),
0.00/0.27	                                                         S,Xx),
0.00/0.27	                                          Xw0) =>
0.00/0.27	                           app_encode_app(a,$o,Xq0,Xw0))) & 
0.00/0.27	                       (![Xu:a,Xv:a]:
0.00/0.27	                          ((app_encode_app(a,$o,Xq0,Xu) & 
0.00/0.27	                            app_encode_app(a,$o,
0.00/0.27	                                           app_encode_app(a,
0.00/0.27	                                                          app_encode_fun(
0.00/0.27	                                                          a,$o),S,Xu),
0.00/0.27	                                           Xv)) =>
0.00/0.27	                           app_encode_app(a,$o,Xq0,Xv)))) =>
0.00/0.27	                      app_encode_app(a,$o,Xq0,Xw)))) =>
0.00/0.27	                 app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.27	             (![Xu:a,Xv:a]:
0.00/0.27	                ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.27	                  ((![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                      (((![Xw:a]:
0.00/0.27	                           (app_encode_app(a,$o,
0.00/0.27	                                           app_encode_app(a,
0.00/0.27	                                                          app_encode_fun(
0.00/0.27	                                                          a,$o),R,Xu),
0.00/0.27	                                           Xw) =>
0.00/0.27	                            app_encode_app(a,$o,Xq0,Xw))) & 
0.00/0.27	                        (![Xu0:a,Xv0:a]:
0.00/0.27	                           ((app_encode_app(a,$o,Xq0,Xu0) & 
0.00/0.27	                             app_encode_app(a,$o,
0.00/0.27	                                            app_encode_app(a,
0.00/0.27	                                                           app_encode_fun(
0.00/0.27	                                                           a,$o),R,Xu0),
0.00/0.27	                                            Xv0)) =>
0.00/0.27	                            app_encode_app(a,$o,Xq0,Xv0)))) =>
0.00/0.27	                       app_encode_app(a,$o,Xq0,Xv))) | 
0.00/0.27	                   (![Xq0:app_encode_fun(a,$o)]:
0.00/0.27	                      (((![Xw:a]:
0.00/0.27	                           (app_encode_app(a,$o,
0.00/0.27	                                           app_encode_app(a,
0.00/0.27	                                                          app_encode_fun(
0.00/0.27	                                                          a,$o),S,Xu),
0.00/0.27	                                           Xw) =>
0.00/0.27	                            app_encode_app(a,$o,Xq0,Xw))) & 
0.00/0.27	                        (![Xu0:a,Xv0:a]:
0.00/0.27	                           ((app_encode_app(a,$o,Xq0,Xu0) & 
0.00/0.27	                             app_encode_app(a,$o,
0.00/0.27	                                            app_encode_app(a,
0.00/0.27	                                                           app_encode_fun(
0.00/0.27	                                                           a,$o),S,Xu0),
0.00/0.27	                                            Xv0)) =>
0.00/0.27	                            app_encode_app(a,$o,Xq0,Xv0)))) =>
0.00/0.27	                       app_encode_app(a,$o,Xq0,Xv))))) =>
0.00/0.27	                 app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.27	            app_encode_app(a,$o,Xq,Xy))))))).
0.00/0.27	tff('0', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xu(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('1', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('2', plain,
0.00/0.27	    ![X1 : a, X2 : a, X5 : a]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_S, X1), X5)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq01(X2, X1), X5)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X2)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('3', plain,
0.00/0.27	    ![X1 : a, X2 : a]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq01(X2, X1), X2)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X2)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('4', plain,
0.00/0.27	    ![X0 : a, X1 : a]:
0.00/0.27	      (~ $true
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_S, X1), X0)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, X1)),
0.00/0.27	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.27	tff('5', plain,
0.00/0.27	    ![X0 : a, X1 : a]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_S, X1), X0)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['4'])).
0.00/0.27	tff('6', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.27	tff('7', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['6'])).
0.00/0.27	tff('8', plain,
0.00/0.27	    ![X1 : a, X2 : a, X8 : a]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_R, X1), X8)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq0(X2, X1), X8)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X2)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('9', plain,
0.00/0.27	    ![X1 : a, X2 : a]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq0(X2, X1), X2)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X2)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('10', plain,
0.00/0.27	    ![X0 : a, X1 : a]:
0.00/0.27	      (~ $true
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_R, X1), X0)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, X1)),
0.00/0.27	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.27	tff('11', plain,
0.00/0.27	    ![X0 : a, X1 : a]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_R, X1), X0)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['10'])).
0.00/0.27	tff('12', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['7', '11'])).
0.00/0.27	tff('13', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('14', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.27	    inference('sup-', [status(thm)], ['12', '13'])).
0.00/0.27	tff('15', plain,
0.00/0.27	    (app_encode_app(a, $o, 
0.00/0.27	       app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.27	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))),
0.00/0.27	    inference('simplify', [status(thm)], ['14'])).
0.00/0.27	tff('16', plain, ~ app_encode_app(a, $o, sk_Xq, sk_Xy),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('17', plain,
0.00/0.27	    (~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))),
0.00/0.27	    inference('clc', [status(thm)], ['15', '16'])).
0.00/0.27	tff('18', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))),
0.00/0.27	    inference('sup-', [status(thm)], ['0', '17'])).
0.00/0.27	tff('19', plain,
0.00/0.27	    (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))),
0.00/0.27	    inference('simplify', [status(thm)], ['18'])).
0.00/0.27	tff('20', plain,
0.00/0.27	    (app_encode_app(a, $o, 
0.00/0.27	       app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))),
0.00/0.27	    inference('clc', [status(thm)], ['19', '16'])).
0.00/0.27	tff('21', plain,
0.00/0.27	    ![X9 : a, X13 : a]:
0.00/0.27	      (app_encode_app(a, $o, sk_Xq, X9)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq03(X9), X13)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), X13)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('22', plain,
0.00/0.27	    ![X9 : a]:
0.00/0.27	      (app_encode_app(a, $o, sk_Xq, X9)
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq03(X9), X9)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('23', plain,
0.00/0.27	    ![X0 : a]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), X0)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, X0)),
0.00/0.27	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.27	tff('24', plain,
0.00/0.27	    ![X0 : a]:
0.00/0.27	      (app_encode_app(a, $o, sk_Xq, X0)
0.00/0.27	       | ~ app_encode_app(a, $o, 
0.00/0.27	             app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xx), X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['23'])).
0.00/0.27	tff('25', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.27	    inference('sup-', [status(thm)], ['20', '24'])).
0.00/0.27	tff('26', plain,
0.00/0.27	    (app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, 
0.00/0.27	         app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq))),
0.00/0.27	    inference('simplify', [status(thm)], ['25'])).
0.00/0.27	tff('27', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xu(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('28', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_S, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('29', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['28', '5'])).
0.00/0.27	tff('30', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, 
0.00/0.27	           app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xu(X0)), 
0.00/0.27	           sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['29'])).
0.00/0.27	tff('31', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (~ app_encode_app(a, $o, X0, sk_Xw(X0))
0.00/0.27	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | app_encode_app(a, $o, sk_Xq, sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['30', '11'])).
0.00/0.27	tff('32', plain,
0.00/0.27	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.27	      (app_encode_app(a, $o, X0, sk_Xy)
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xv(X0))
0.00/0.27	       | ~ app_encode_app(a, $o, X0, sk_Xw(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('33', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.27	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.27	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.27	    inference('sup-', [status(thm)], ['31', '32'])).
0.00/0.27	tff('34', plain,
0.00/0.27	    (~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.27	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.27	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))),
0.00/0.27	    inference('simplify', [status(thm)], ['33'])).
0.00/0.27	tff('35', plain,
0.00/0.27	    (~ app_encode_app(a, $o, sk_Xq, sk_Xu(sk_Xq))
0.00/0.28	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.28	    inference('clc', [status(thm)], ['34', '16'])).
0.00/0.28	tff('36', plain,
0.00/0.28	    (~ $true
0.00/0.28	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.28	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.28	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.28	    inference('sup-', [status(thm)], ['27', '35'])).
0.00/0.28	tff('37', plain,
0.00/0.28	    (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.28	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.28	    inference('simplify', [status(thm)], ['36'])).
0.00/0.28	tff('38', plain, ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq)),
0.00/0.28	    inference('clc', [status(thm)], ['37', '16'])).
0.00/0.28	tff('39', plain,
0.00/0.28	    app_encode_app(a, $o, 
0.00/0.28	      app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), sk_Xw(sk_Xq)),
0.00/0.28	    inference('clc', [status(thm)], ['26', '38'])).
0.00/0.28	tff('40', plain,
0.00/0.28	    ![X9 : a, X10 : a]:
0.00/0.28	      (app_encode_app(a, $o, sk_Xq, X9)
0.00/0.28	       | app_encode_app(a, $o, sk_Xq02(X9), X10)
0.00/0.28	       | ~ app_encode_app(a, $o, 
0.00/0.28	             app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), X10)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('41', plain,
0.00/0.28	    ![X9 : a]:
0.00/0.28	      (app_encode_app(a, $o, sk_Xq, X9)
0.00/0.28	       | ~ app_encode_app(a, $o, sk_Xq02(X9), X9)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('42', plain,
0.00/0.28	    ![X0 : a]:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ app_encode_app(a, $o, 
0.00/0.28	             app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), X0)
0.00/0.28	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.28	       | app_encode_app(a, $o, sk_Xq, X0)),
0.00/0.28	    inference('sup-', [status(thm)], ['40', '41'])).
0.00/0.28	tff('43', plain,
0.00/0.28	    ![X0 : a]:
0.00/0.28	      (app_encode_app(a, $o, sk_Xq, X0)
0.00/0.28	       | ~ app_encode_app(a, $o, 
0.00/0.28	             app_encode_app(a, app_encode_fun(a, $o), sk_R, sk_Xx), X0)),
0.00/0.28	    inference('simplify', [status(thm)], ['42'])).
0.00/0.28	tff('44', plain, (~ $true | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.28	    inference('sup-', [status(thm)], ['39', '43'])).
0.00/0.28	tff('45', plain, app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq)),
0.00/0.28	    inference('simplify', [status(thm)], ['44'])).
0.00/0.28	tff('46', plain, ~ $true, inference('sup-', [status(thm)], ['45', '38'])).
0.00/0.28	tff('47', plain, $false, inference('simplify', [status(thm)], ['46'])).
0.00/0.28	
0.00/0.28	% SZS output end Refutation
0.00/0.28	EOF
