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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n115.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:49:54 CST 2018
0.00/0.44	% done 153 iterations in 0.241s
0.00/0.44	% SZS status Theorem for 'stdin'
0.00/0.44	% SZS output start Refutation
0.00/0.44	tff(zf_stmt_3, conjecture,
0.00/0.44	  (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a,Xz:a]:
0.00/0.44	     (((![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.44	          (((![Xx0:a,Xy0:a]:
0.00/0.44	               (app_encode_app(a,$o,
0.00/0.44	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xx0),
0.00/0.44	                               Xy0) =>
0.00/0.44	                app_encode_app(a,$o,
0.00/0.44	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.44	                               Xy0))) & 
0.00/0.44	            (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.44	               ((app_encode_app(a,$o,
0.00/0.44	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.44	                                Xy0) & 
0.00/0.44	                 app_encode_app(a,$o,
0.00/0.44	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.44	                                Xz0)) =>
0.00/0.44	                app_encode_app(a,$o,
0.00/0.44	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.44	                               Xz0)))) =>
0.00/0.44	           app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.45	                          Xy))) & 
0.00/0.45	       (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.45	          (((![Xx0:a,Xy0:a]:
0.00/0.45	               (app_encode_app(a,$o,
0.00/0.45	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xx0),
0.00/0.45	                               Xy0) =>
0.00/0.45	                app_encode_app(a,$o,
0.00/0.45	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                               Xy0))) & 
0.00/0.45	            (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.45	               ((app_encode_app(a,$o,
0.00/0.45	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                Xy0) & 
0.00/0.45	                 app_encode_app(a,$o,
0.00/0.45	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.45	                                Xz0)) =>
0.00/0.45	                app_encode_app(a,$o,
0.00/0.45	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                               Xz0)))) =>
0.00/0.45	           app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),
0.00/0.45	                          Xz)))) =>
0.00/0.45	      (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.45	         (((![Xx0:a,Xy0:a]:
0.00/0.45	              (app_encode_app(a,$o,
0.00/0.45	                              app_encode_app(a,app_encode_fun(a,$o),Xr,Xx0),
0.00/0.45	                              Xy0) =>
0.00/0.45	               app_encode_app(a,$o,
0.00/0.45	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                              Xy0))) & 
0.00/0.45	           (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.45	              ((app_encode_app(a,$o,
0.00/0.45	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                               Xy0) & 
0.00/0.45	                app_encode_app(a,$o,
0.00/0.45	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.45	                               Xz0)) =>
0.00/0.45	               app_encode_app(a,$o,
0.00/0.45	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                              Xz0)))) =>
0.00/0.45	          app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xz)))))).
0.00/0.45	tff(zf_stmt_0, negated_conjecture,
0.00/0.45	  (~
0.00/0.45	    (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a,Xz:a]:
0.00/0.45	       (((![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.45	            (((![Xx0:a,Xy0:a]:
0.00/0.45	                 (app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xx0),
0.00/0.45	                                 Xy0) =>
0.00/0.45	                  app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                 Xy0))) & 
0.00/0.45	              (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.45	                 ((app_encode_app(a,$o,
0.00/0.45	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.45	                                                 Xx0),
0.00/0.45	                                  Xy0) & 
0.00/0.45	                   app_encode_app(a,$o,
0.00/0.45	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.45	                                                 Xy0),
0.00/0.45	                                  Xz0)) =>
0.00/0.45	                  app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                 Xz0)))) =>
0.00/0.45	             app_encode_app(a,$o,
0.00/0.45	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy))) & 
0.00/0.45	         (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.45	            (((![Xx0:a,Xy0:a]:
0.00/0.45	                 (app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xx0),
0.00/0.45	                                 Xy0) =>
0.00/0.45	                  app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                 Xy0))) & 
0.00/0.45	              (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.45	                 ((app_encode_app(a,$o,
0.00/0.45	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.45	                                                 Xx0),
0.00/0.45	                                  Xy0) & 
0.00/0.45	                   app_encode_app(a,$o,
0.00/0.45	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.45	                                                 Xy0),
0.00/0.45	                                  Xz0)) =>
0.00/0.45	                  app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                 Xz0)))) =>
0.00/0.45	             app_encode_app(a,$o,
0.00/0.45	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),Xz)))) =>
0.00/0.45	        (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.45	           (((![Xx0:a,Xy0:a]:
0.00/0.45	                (app_encode_app(a,$o,
0.00/0.45	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xx0),
0.00/0.45	                                Xy0) =>
0.00/0.45	                 app_encode_app(a,$o,
0.00/0.45	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                Xy0))) & 
0.00/0.45	             (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.45	                ((app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                 Xy0) & 
0.00/0.45	                  app_encode_app(a,$o,
0.00/0.45	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.45	                                 Xz0)) =>
0.00/0.45	                 app_encode_app(a,$o,
0.00/0.45	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.45	                                Xz0)))) =>
0.00/0.45	            app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.45	                           Xz))))))).
0.00/0.45	tff('0', plain,
0.00/0.45	    ![X0 : a, X1 : a]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X0), X1)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, X0), X1)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('1', plain,
0.00/0.45	    ![X6 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xy0(X6)), 
0.00/0.45	           sk_Xz0(X6))
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx01(X6)), 
0.00/0.45	             sk_Xy01(X6))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('2', plain,
0.00/0.45	    ![X6 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx0(X6)), 
0.00/0.45	           sk_Xy0(X6))
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx01(X6)), 
0.00/0.45	             sk_Xy01(X6))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('3', plain,
0.00/0.45	    ![X2 : a, X3 : a, X4 : a]:
0.00/0.45	      (~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X2), X3)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X3), X4)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X2), X4)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('4', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.45	             sk_Xy01(sk_Xp))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.45	             X0)),
0.00/0.45	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.45	tff('5', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.45	             sk_Xy01(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['4'])).
0.00/0.45	tff('6', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	         sk_Xz0(sk_Xp))),
0.00/0.45	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.45	tff('7', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	       sk_Xz0(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['6'])).
0.00/0.45	tff('8', plain,
0.00/0.45	    ![X6 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx), sk_Xy)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx0(X6)), 
0.00/0.45	             sk_Xz0(X6))
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx01(X6)), 
0.00/0.45	             sk_Xy01(X6))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('9', plain,
0.00/0.45	    (~ app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.45	         sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.45	    inference('clc', [status(thm)], ['7', '8'])).
0.00/0.45	tff('10', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.45	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.45	tff('11', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['10'])).
0.00/0.45	tff('12', plain,
0.00/0.45	    ![X6 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xy0(X6)), 
0.00/0.45	           sk_Xz0(X6))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(X6)), 
0.00/0.45	           sk_Xy01(X6))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('13', plain,
0.00/0.45	    ![X6 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx0(X6)), 
0.00/0.45	           sk_Xy0(X6))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(X6)), 
0.00/0.45	           sk_Xy01(X6))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('14', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ $true
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.45	             X0)),
0.00/0.45	    inference('sup-', [status(thm)], ['13', '3'])).
0.00/0.45	tff('15', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	           sk_Xy01(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['14'])).
0.00/0.45	tff('16', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	         sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	         sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	         sk_Xz0(sk_Xp))),
0.00/0.45	    inference('sup-', [status(thm)], ['12', '15'])).
0.00/0.45	tff('17', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.45	       sk_Xz0(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	         sk_Xy01(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['16'])).
0.00/0.45	tff('18', plain,
0.00/0.45	    ![X6 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx), sk_Xy)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X6, sk_Xx0(X6)), 
0.00/0.45	             sk_Xz0(X6))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(X6)), 
0.00/0.45	           sk_Xy01(X6))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('19', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx01(sk_Xp)), 
0.00/0.45	       sk_Xy01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.45	    inference('clc', [status(thm)], ['17', '18'])).
0.00/0.45	tff('20', plain,
0.00/0.45	    app_encode_app(a, $o, 
0.00/0.45	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy),
0.00/0.45	    inference('clc', [status(thm)], ['11', '19'])).
0.00/0.45	tff('21', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ $true
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)),
0.00/0.45	    inference('sup-', [status(thm)], ['20', '3'])).
0.00/0.45	tff('22', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.45	    inference('simplify', [status(thm)], ['21'])).
0.00/0.45	tff('23', plain,
0.00/0.45	    ~ app_encode_app(a, $o, 
0.00/0.45	        app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xz),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('24', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.45	    inference('sup-', [status(thm)], ['22', '23'])).
0.00/0.45	tff('25', plain,
0.00/0.45	    ![X5 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy02(X5)), 
0.00/0.45	           sk_Xz01(X5))
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx03(X5)), 
0.00/0.45	             sk_Xy03(X5))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('26', plain,
0.00/0.45	    ![X5 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx02(X5)), 
0.00/0.45	           sk_Xy02(X5))
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx03(X5)), 
0.00/0.45	             sk_Xy03(X5))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('27', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx03(sk_Xp)), 
0.00/0.45	             sk_Xy03(sk_Xp))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy02(sk_Xp)), 
0.00/0.45	             X0)),
0.00/0.45	    inference('sup-', [status(thm)], ['26', '3'])).
0.00/0.45	tff('28', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy02(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx03(sk_Xp)), 
0.00/0.45	             sk_Xy03(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['27'])).
0.00/0.45	tff('29', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	         sk_Xz01(sk_Xp))),
0.00/0.45	    inference('sup-', [status(thm)], ['25', '28'])).
0.00/0.45	tff('30', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	       sk_Xz01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['29'])).
0.00/0.45	tff('31', plain,
0.00/0.45	    ![X5 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy), sk_Xz)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx02(X5)), 
0.00/0.45	             sk_Xz01(X5))
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx03(X5)), 
0.00/0.45	             sk_Xy03(X5))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('32', plain,
0.00/0.45	    (~ app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx03(sk_Xp)), 
0.00/0.45	         sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.45	    inference('clc', [status(thm)], ['30', '31'])).
0.00/0.45	tff('33', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.45	    inference('sup-', [status(thm)], ['0', '32'])).
0.00/0.45	tff('34', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | ~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['33'])).
0.00/0.45	tff('35', plain,
0.00/0.45	    ![X5 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy02(X5)), 
0.00/0.45	           sk_Xz01(X5))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(X5)), 
0.00/0.45	           sk_Xy03(X5))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('36', plain,
0.00/0.45	    ![X5 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx02(X5)), 
0.00/0.45	           sk_Xy02(X5))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(X5)), 
0.00/0.45	           sk_Xy03(X5))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('37', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ $true
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy02(sk_Xp)), 
0.00/0.45	             X0)),
0.00/0.45	    inference('sup-', [status(thm)], ['36', '3'])).
0.00/0.45	tff('38', plain,
0.00/0.45	    ![X0 : a]:
0.00/0.45	      (~ app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy02(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	           X0)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	           sk_Xy03(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['37'])).
0.00/0.45	tff('39', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	         sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	         sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	         sk_Xz01(sk_Xp))),
0.00/0.45	    inference('sup-', [status(thm)], ['35', '38'])).
0.00/0.45	tff('40', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx02(sk_Xp)), 
0.00/0.45	       sk_Xz01(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	         sk_Xy03(sk_Xp))),
0.00/0.45	    inference('simplify', [status(thm)], ['39'])).
0.00/0.45	tff('41', plain,
0.00/0.45	    ![X5 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.45	      (app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xy), sk_Xz)
0.00/0.45	       | ~ app_encode_app(a, $o, 
0.00/0.45	             app_encode_app(a, app_encode_fun(a, $o), X5, sk_Xx02(X5)), 
0.00/0.45	             sk_Xz01(X5))
0.00/0.45	       | app_encode_app(a, $o, 
0.00/0.45	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(X5)), 
0.00/0.45	           sk_Xy03(X5))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('42', plain,
0.00/0.45	    (app_encode_app(a, $o, 
0.00/0.45	       app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx03(sk_Xp)), 
0.00/0.45	       sk_Xy03(sk_Xp))
0.00/0.45	     | app_encode_app(a, $o, 
0.00/0.45	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.45	    inference('clc', [status(thm)], ['40', '41'])).
0.00/0.45	tff('43', plain,
0.00/0.45	    app_encode_app(a, $o, 
0.00/0.45	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz),
0.00/0.45	    inference('clc', [status(thm)], ['34', '42'])).
0.00/0.45	tff('44', plain, (~ $true | ~ $true),
0.00/0.45	    inference('demod', [status(thm)], ['24', '43'])).
0.00/0.45	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
0.00/0.45	
0.00/0.45	% SZS output end Refutation
0.00/0.45	EOF
