0.00/0.00	% File    : /export/starexec/sandbox/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   : n110.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 07:53:53 CST 2018
0.00/0.25	% done 20 iterations in 0.050s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_12, conjecture,
0.00/0.25	  (![Ys:lst,Zs:lst]:
0.00/0.25	     (app_encode_app(lst,lst,
0.00/0.25	                     app_encode_app(lst,app_encode_fun(lst,lst),ap,xs),
0.00/0.25	                     app_encode_app(lst,lst,
0.00/0.25	                                    app_encode_app(lst,
0.00/0.25	                                                   app_encode_fun(lst,lst),
0.00/0.25	                                                   ap,Ys),
0.00/0.25	                                    Zs)) =
0.00/0.25	      app_encode_app(lst,lst,
0.00/0.25	                     app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                    app_encode_app(lst,lst,
0.00/0.25	                                                   app_encode_app(lst,
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  lst,lst),
0.00/0.25	                                                                  ap,xs),
0.00/0.25	                                                   Ys)),
0.00/0.25	                     Zs)))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (![Ys:lst,Zs:lst]:
0.00/0.25	       (app_encode_app(lst,lst,
0.00/0.25	                       app_encode_app(lst,app_encode_fun(lst,lst),ap,xs),
0.00/0.25	                       app_encode_app(lst,lst,
0.00/0.25	                                      app_encode_app(lst,
0.00/0.25	                                                     app_encode_fun(lst,lst),
0.00/0.25	                                                     ap,Ys),
0.00/0.25	                                      Zs)) =
0.00/0.25	        app_encode_app(lst,lst,
0.00/0.25	                       app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                      app_encode_app(lst,lst,
0.00/0.25	                                                     app_encode_app(lst,
0.00/0.25	                                                                    app_encode_fun(
0.00/0.25	                                                                    lst,lst),
0.00/0.25	                                                                    ap,xs),
0.00/0.25	                                                     Ys)),
0.00/0.25	                       Zs))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    app_encode_app(lst, lst, 
0.00/0.25	      app_encode_app(lst, app_encode_fun(lst, lst), ap, xs), 
0.00/0.25	      app_encode_app(lst, lst, 
0.00/0.25	        app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys2), sk_Zs2))
0.00/0.25	     != app_encode_app(lst, lst, 
0.00/0.25	          app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	            app_encode_app(lst, lst, 
0.00/0.25	              app_encode_app(lst, app_encode_fun(lst, lst), ap, xs), sk_Ys2)), 
0.00/0.25	          sk_Zs2),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff(zf_stmt_9, axiom,
0.00/0.25	  (![Lst:lst]:
0.00/0.25	     ((![Ys:lst,Zs:lst]:
0.00/0.25	         (app_encode_app(lst,lst,
0.00/0.25	                         app_encode_app(lst,app_encode_fun(lst,lst),ap,nl),
0.00/0.25	                         app_encode_app(lst,lst,
0.00/0.25	                                        app_encode_app(lst,
0.00/0.25	                                                       app_encode_fun(
0.00/0.25	                                                       lst,lst),ap,Ys),
0.00/0.25	                                        Zs)) =
0.00/0.25	          app_encode_app(lst,lst,
0.00/0.25	                         app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                        app_encode_app(lst,lst,
0.00/0.25	                                                       app_encode_app(
0.00/0.25	                                                       lst,
0.00/0.25	                                                       app_encode_fun(
0.00/0.25	                                                       lst,lst),ap,nl),Ys)),
0.00/0.25	                         Zs))) =>
0.00/0.25	      ((![A:a,Lst2:lst]:
0.00/0.25	          ((![Ys3:lst,Zs2:lst]:
0.00/0.25	              (app_encode_app(lst,lst,
0.00/0.25	                              app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                             Lst2),
0.00/0.25	                              app_encode_app(lst,lst,
0.00/0.25	                                             app_encode_app(lst,
0.00/0.25	                                                            app_encode_fun(
0.00/0.25	                                                            lst,lst),ap,Ys3),
0.00/0.25	                                             Zs2)) =
0.00/0.25	               app_encode_app(lst,lst,
0.00/0.25	                              app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                             app_encode_app(lst,lst,
0.00/0.25	                                                            app_encode_app(
0.00/0.25	                                                            lst,
0.00/0.25	                                                            app_encode_fun(
0.00/0.25	                                                            lst,lst),ap,Lst2),
0.00/0.25	                                                            Ys3)),
0.00/0.25	                              Zs2))) =>
0.00/0.25	           (![Ys:lst,Zs:lst]:
0.00/0.25	              (app_encode_app(lst,lst,
0.00/0.25	                              app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                             app_encode_app(lst,lst,
0.00/0.25	                                                            app_encode_app(
0.00/0.25	                                                            a,
0.00/0.25	                                                            app_encode_fun(
0.00/0.25	                                                            lst,lst),cns,A),
0.00/0.25	                                                            Lst2)),
0.00/0.25	                              app_encode_app(lst,lst,
0.00/0.25	                                             app_encode_app(lst,
0.00/0.25	                                                            app_encode_fun(
0.00/0.25	                                                            lst,lst),ap,Ys),
0.00/0.25	                                             Zs)) =
0.00/0.25	               app_encode_app(lst,lst,
0.00/0.25	                              app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                             app_encode_app(lst,lst,
0.00/0.25	                                                            app_encode_app(
0.00/0.25	                                                            lst,
0.00/0.25	                                                            app_encode_fun(
0.00/0.25	                                                            lst,lst),ap,
0.00/0.25	                                                            app_encode_app(
0.00/0.25	                                                            lst,lst,
0.00/0.25	                                                            app_encode_app(
0.00/0.25	                                                            a,
0.00/0.25	                                                            app_encode_fun(
0.00/0.25	                                                            lst,lst),cns,A),
0.00/0.25	                                                            Lst2)),Ys)),
0.00/0.25	                              Zs))))) =>
0.00/0.25	       (![Ys3:lst,Zs2:lst]:
0.00/0.25	          (app_encode_app(lst,lst,
0.00/0.25	                          app_encode_app(lst,app_encode_fun(lst,lst),ap,Lst),
0.00/0.25	                          app_encode_app(lst,lst,
0.00/0.25	                                         app_encode_app(lst,
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        lst,lst),ap,Ys3),
0.00/0.25	                                         Zs2)) =
0.00/0.25	           app_encode_app(lst,lst,
0.00/0.25	                          app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                         app_encode_app(lst,lst,
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        lst,
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        lst,lst),ap,Lst),Ys3)),
0.00/0.25	                          Zs2))))))).
0.00/0.25	tff('1', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), sk_Lst2)), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys), sk_Zs))
0.00/0.25	        != app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	               app_encode_app(lst, lst, 
0.00/0.25	                 app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                   app_encode_app(lst, lst, 
0.00/0.25	                     app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	                     sk_Lst2)), sk_Ys)), sk_Zs)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, nl), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys1), 
0.00/0.25	             sk_Zs1))
0.00/0.25	          != app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                 app_encode_app(lst, lst, 
0.00/0.25	                   app_encode_app(lst, app_encode_fun(lst, lst), ap, nl), 
0.00/0.25	                   sk_Ys1)), sk_Zs1)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	          = app_encode_app(lst, lst, 
0.00/0.25	              app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                app_encode_app(lst, lst, 
0.00/0.25	                  app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	              X6)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.25	tff(zf_stmt_10, axiom,
0.00/0.25	  (![Ys2:lst,Xs:lst,X:a]:
0.00/0.25	     (app_encode_app(lst,lst,
0.00/0.25	                     app_encode_app(lst,app_encode_fun(lst,lst),ap,
0.00/0.25	                                    app_encode_app(lst,lst,
0.00/0.25	                                                   app_encode_app(a,
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  lst,lst),
0.00/0.25	                                                                  cns,X),
0.00/0.25	                                                   Xs)),
0.00/0.25	                     Ys2) =
0.00/0.25	      app_encode_app(lst,lst,app_encode_app(a,app_encode_fun(lst,lst),cns,X),
0.00/0.25	                     app_encode_app(lst,lst,
0.00/0.25	                                    app_encode_app(lst,
0.00/0.25	                                                   app_encode_fun(lst,lst),
0.00/0.25	                                                   ap,Xs),
0.00/0.25	                                    Ys2))))).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X9 : a, X10 : lst, X11 : lst]:
0.00/0.25	      app_encode_app(lst, lst, 
0.00/0.25	        app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	          app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(a, app_encode_fun(lst, lst), cns, X9), X10)), X11)
0.00/0.25	       = app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(a, app_encode_fun(lst, lst), cns, X9), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, X10), X11)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.25	tff(zf_stmt_11, axiom,
0.00/0.25	  (![Ys2:lst]:
0.00/0.25	     (app_encode_app(lst,lst,
0.00/0.25	                     app_encode_app(lst,app_encode_fun(lst,lst),ap,nl),Ys2) =
0.00/0.25	      Ys2))).
0.00/0.25	tff('3', plain,
0.00/0.25	    ![X12 : lst]:
0.00/0.25	      app_encode_app(lst, lst, 
0.00/0.25	        app_encode_app(lst, app_encode_fun(lst, lst), ap, nl), X12)
0.00/0.25	       = X12,
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys), sk_Zs)))
0.00/0.25	        != app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	             app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                 app_encode_app(lst, lst, 
0.00/0.25	                   app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	                   sk_Ys)), sk_Zs))
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys1), sk_Zs1)
0.00/0.25	          != app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys1), 
0.00/0.25	               sk_Zs1)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	          = app_encode_app(lst, lst, 
0.00/0.25	              app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                app_encode_app(lst, lst, 
0.00/0.25	                  app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	              X6)),
0.00/0.25	    inference('demod', [status(thm)], ['1', '2', '2', '2', '3', '3'])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	        = app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	              app_encode_app(lst, lst, 
0.00/0.25	                app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	            X6)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	             app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys), 
0.00/0.25	               sk_Zs)))
0.00/0.25	          != app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	               app_encode_app(lst, lst, 
0.00/0.25	                 app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                   app_encode_app(lst, lst, 
0.00/0.25	                     app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                       sk_Lst2), sk_Ys)), sk_Zs))),
0.00/0.25	    inference('simplify', [status(thm)], ['4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst, X7 : lst, X8 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X7), X8))
0.00/0.25	        = app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	              app_encode_app(lst, lst, 
0.00/0.25	                app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	                X7)), X8)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, nl), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys1), 
0.00/0.25	             sk_Zs1))
0.00/0.25	          != app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                 app_encode_app(lst, lst, 
0.00/0.25	                   app_encode_app(lst, app_encode_fun(lst, lst), ap, nl), 
0.00/0.25	                   sk_Ys1)), sk_Zs1)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	          = app_encode_app(lst, lst, 
0.00/0.25	              app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                app_encode_app(lst, lst, 
0.00/0.25	                  app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	              X6)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst, X7 : lst, X8 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X7), X8))
0.00/0.25	        = app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	              app_encode_app(lst, lst, 
0.00/0.25	                app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	                X7)), X8)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys1), sk_Zs1)
0.00/0.25	          != app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys1), 
0.00/0.25	               sk_Zs1)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	          = app_encode_app(lst, lst, 
0.00/0.25	              app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                app_encode_app(lst, lst, 
0.00/0.25	                  app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	              X6)),
0.00/0.25	    inference('demod', [status(thm)], ['6', '3', '3'])).
0.00/0.25	tff('8', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst, X7 : lst, X8 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	        = app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	              app_encode_app(lst, lst, 
0.00/0.25	                app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	            X6)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, X7), X8))
0.00/0.25	          = app_encode_app(lst, lst, 
0.00/0.25	              app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	                app_encode_app(lst, lst, 
0.00/0.25	                  app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	                  X7)), X8)),
0.00/0.25	    inference('simplify', [status(thm)], ['7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    ![X0 : lst, X1 : lst]:
0.00/0.25	      app_encode_app(lst, lst, 
0.00/0.25	        app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	        app_encode_app(lst, lst, 
0.00/0.25	          app_encode_app(lst, app_encode_fun(lst, lst), ap, X1), X0))
0.00/0.25	       = app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	             app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	               X1)), X0),
0.00/0.25	    inference('condensation', [status(thm)], ['8'])).
0.00/0.25	tff('10', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst]:
0.00/0.25	      (app_encode_app(lst, lst, 
0.00/0.25	         app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	         app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	        = app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	              app_encode_app(lst, lst, 
0.00/0.25	                app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	            X6)
0.00/0.25	       | app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	           app_encode_app(lst, lst, 
0.00/0.25	             app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	             app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys), 
0.00/0.25	               sk_Zs)))
0.00/0.25	          != app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(a, app_encode_fun(lst, lst), cns, sk_A), 
0.00/0.25	               app_encode_app(lst, lst, 
0.00/0.25	                 app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Lst2), 
0.00/0.25	                 app_encode_app(lst, lst, 
0.00/0.25	                   app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys), 
0.00/0.25	                   sk_Zs)))),
0.00/0.25	    inference('demod', [status(thm)], ['5', '9'])).
0.00/0.25	tff('11', plain,
0.00/0.25	    ![X4 : lst, X5 : lst, X6 : lst]:
0.00/0.25	      app_encode_app(lst, lst, 
0.00/0.25	        app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), 
0.00/0.25	        app_encode_app(lst, lst, 
0.00/0.25	          app_encode_app(lst, app_encode_fun(lst, lst), ap, X5), X6))
0.00/0.25	       = app_encode_app(lst, lst, 
0.00/0.25	           app_encode_app(lst, app_encode_fun(lst, lst), ap, 
0.00/0.25	             app_encode_app(lst, lst, 
0.00/0.25	               app_encode_app(lst, app_encode_fun(lst, lst), ap, X4), X5)), 
0.00/0.25	           X6),
0.00/0.25	    inference('simplify', [status(thm)], ['10'])).
0.00/0.25	tff('12', plain,
0.00/0.25	    app_encode_app(lst, lst, 
0.00/0.25	      app_encode_app(lst, app_encode_fun(lst, lst), ap, xs), 
0.00/0.25	      app_encode_app(lst, lst, 
0.00/0.25	        app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys2), sk_Zs2))
0.00/0.25	     != app_encode_app(lst, lst, 
0.00/0.25	          app_encode_app(lst, app_encode_fun(lst, lst), ap, xs), 
0.00/0.25	          app_encode_app(lst, lst, 
0.00/0.25	            app_encode_app(lst, app_encode_fun(lst, lst), ap, sk_Ys2), 
0.00/0.25	            sk_Zs2)),
0.00/0.25	    inference('demod', [status(thm)], ['0', '11'])).
0.00/0.25	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
