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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n121.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:39:53 CST 2018
0.00/0.33	% done 71 iterations in 0.127s
0.00/0.33	% SZS status Theorem for 'stdin'
0.00/0.33	% SZS output start Refutation
0.00/0.33	tff(zf_stmt_3, conjecture,
0.00/0.33	  (![Xr:app_encode_fun($i,app_encode_fun($i,$o)),Xx,Xy]:
0.00/0.33	     ((![Xp:app_encode_fun($i,app_encode_fun($i,$o))]:
0.00/0.33	         (((![Xx0,Xy0]:
0.00/0.33	              (app_encode_app($i,$o,
0.00/0.33	                              app_encode_app($i,app_encode_fun($i,$o),Xr,Xx0),
0.00/0.33	                              Xy0) =>
0.00/0.33	               app_encode_app($i,$o,
0.00/0.33	                              app_encode_app($i,app_encode_fun($i,$o),Xp,Xx0),
0.00/0.33	                              Xy0))) & 
0.00/0.33	           (![Xu,Xv,Xw]:
0.00/0.33	              ((app_encode_app($i,$o,
0.00/0.33	                               app_encode_app($i,app_encode_fun($i,$o),Xp,Xu),
0.00/0.33	                               Xv) & 
0.00/0.33	                app_encode_app($i,$o,
0.00/0.33	                               app_encode_app($i,app_encode_fun($i,$o),Xr,Xv),
0.00/0.33	                               Xw)) =>
0.00/0.33	               app_encode_app($i,$o,
0.00/0.33	                              app_encode_app($i,app_encode_fun($i,$o),Xp,Xu),
0.00/0.33	                              Xw)))) =>
0.00/0.33	          app_encode_app($i,$o,
0.00/0.33	                         app_encode_app($i,app_encode_fun($i,$o),Xp,Xx),Xy))) =>
0.00/0.33	      (![Xp:app_encode_fun($i,app_encode_fun($i,$o))]:
0.00/0.33	         (((![Xx0,Xy0]:
0.00/0.33	              (app_encode_app($i,$o,
0.00/0.33	                              app_encode_app($i,app_encode_fun($i,$o),Xr,Xx0),
0.00/0.33	                              Xy0) =>
0.00/0.33	               app_encode_app($i,$o,
0.00/0.33	                              app_encode_app($i,app_encode_fun($i,$o),Xp,Xx0),
0.00/0.33	                              Xy0))) & 
0.00/0.33	           (![Xx0,Xy0,Xz]:
0.00/0.33	              ((app_encode_app($i,$o,
0.00/0.33	                               app_encode_app($i,app_encode_fun($i,$o),Xp,Xx0),
0.00/0.33	                               Xy0) & 
0.00/0.33	                app_encode_app($i,$o,
0.00/0.33	                               app_encode_app($i,app_encode_fun($i,$o),Xp,Xy0),
0.00/0.33	                               Xz)) =>
0.00/0.33	               app_encode_app($i,$o,
0.00/0.33	                              app_encode_app($i,app_encode_fun($i,$o),Xp,Xx0),
0.00/0.33	                              Xz)))) =>
0.00/0.33	          app_encode_app($i,$o,
0.00/0.33	                         app_encode_app($i,app_encode_fun($i,$o),Xp,Xx),Xy)))))).
0.00/0.33	tff(zf_stmt_0, negated_conjecture,
0.00/0.33	  (~
0.00/0.33	    (![Xr:app_encode_fun($i,app_encode_fun($i,$o)),Xx,Xy]:
0.00/0.33	       ((![Xp:app_encode_fun($i,app_encode_fun($i,$o))]:
0.00/0.33	           (((![Xx0,Xy0]:
0.00/0.33	                (app_encode_app($i,$o,
0.00/0.33	                                app_encode_app($i,app_encode_fun($i,$o),Xr,
0.00/0.33	                                               Xx0),
0.00/0.33	                                Xy0) =>
0.00/0.33	                 app_encode_app($i,$o,
0.00/0.33	                                app_encode_app($i,app_encode_fun($i,$o),Xp,
0.00/0.33	                                               Xx0),
0.00/0.33	                                Xy0))) & 
0.00/0.33	             (![Xu,Xv,Xw]:
0.00/0.33	                ((app_encode_app($i,$o,
0.00/0.33	                                 app_encode_app($i,app_encode_fun($i,$o),Xp,
0.00/0.33	                                                Xu),
0.00/0.33	                                 Xv) & 
0.00/0.33	                  app_encode_app($i,$o,
0.00/0.33	                                 app_encode_app($i,app_encode_fun($i,$o),Xr,
0.00/0.33	                                                Xv),
0.00/0.33	                                 Xw)) =>
0.00/0.33	                 app_encode_app($i,$o,
0.00/0.33	                                app_encode_app($i,app_encode_fun($i,$o),Xp,Xu),
0.00/0.33	                                Xw)))) =>
0.00/0.33	            app_encode_app($i,$o,
0.00/0.33	                           app_encode_app($i,app_encode_fun($i,$o),Xp,Xx),Xy))) =>
0.00/0.33	        (![Xp:app_encode_fun($i,app_encode_fun($i,$o))]:
0.00/0.33	           (((![Xx0,Xy0]:
0.00/0.33	                (app_encode_app($i,$o,
0.00/0.33	                                app_encode_app($i,app_encode_fun($i,$o),Xr,
0.00/0.33	                                               Xx0),
0.00/0.33	                                Xy0) =>
0.00/0.33	                 app_encode_app($i,$o,
0.00/0.33	                                app_encode_app($i,app_encode_fun($i,$o),Xp,
0.00/0.33	                                               Xx0),
0.00/0.33	                                Xy0))) & 
0.00/0.33	             (![Xx0,Xy0,Xz]:
0.00/0.33	                ((app_encode_app($i,$o,
0.00/0.33	                                 app_encode_app($i,app_encode_fun($i,$o),Xp,
0.00/0.33	                                                Xx0),
0.00/0.33	                                 Xy0) & 
0.00/0.33	                  app_encode_app($i,$o,
0.00/0.33	                                 app_encode_app($i,app_encode_fun($i,$o),Xp,
0.00/0.33	                                                Xy0),
0.00/0.33	                                 Xz)) =>
0.00/0.33	                 app_encode_app($i,$o,
0.00/0.33	                                app_encode_app($i,app_encode_fun($i,$o),Xp,
0.00/0.33	                                               Xx0),
0.00/0.33	                                Xz)))) =>
0.00/0.33	            app_encode_app($i,$o,
0.00/0.33	                           app_encode_app($i,app_encode_fun($i,$o),Xp,Xx),Xy))))))).
0.00/0.33	tff('0', plain,
0.00/0.33	    ![X8, X9]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, X8), X9)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xr, X8), X9)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('1', plain,
0.00/0.33	    ![X4 : app_encode_fun($i, app_encode_fun($i, $o))]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(X4)), 
0.00/0.33	           sk_Xw(X4))
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx0(X4)), 
0.00/0.33	             sk_Xy0(X4))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('2', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	         sk_Xw(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.33	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.33	tff('3', plain,
0.00/0.33	    (app_encode_app($i, $o, 
0.00/0.33	       app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	         sk_Xw(sk_Xp))
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))),
0.00/0.33	    inference('simplify', [status(thm)], ['2'])).
0.00/0.33	tff('4', plain,
0.00/0.33	    ~ app_encode_app($i, $o, 
0.00/0.33	        app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('5', plain,
0.00/0.33	    (~ app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	         sk_Xw(sk_Xp))),
0.00/0.33	    inference('clc', [status(thm)], ['3', '4'])).
0.00/0.33	tff('6', plain,
0.00/0.33	    ![X4 : app_encode_fun($i, app_encode_fun($i, $o))]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xu(X4)), 
0.00/0.33	           sk_Xv(X4))
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx0(X4)), 
0.00/0.33	             sk_Xy0(X4))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X5, X6, X7]:
0.00/0.33	      (~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, X5), X6)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, X6), X7)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, X5), X7)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('8', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.33	             sk_Xy0(sk_Xp))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.33	             sk_Xy0(sk_Xp))),
0.00/0.33	    inference('simplify', [status(thm)], ['8'])).
0.00/0.33	tff('10', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('clc', [status(thm)], ['9', '4'])).
0.00/0.33	tff('11', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	             sk_Xy0(sk_Xp))
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['0', '10'])).
0.00/0.33	tff('12', plain,
0.00/0.33	    ![X4 : app_encode_fun($i, app_encode_fun($i, $o))]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(X4)), 
0.00/0.33	           sk_Xw(X4))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(X4)), 
0.00/0.33	           sk_Xy0(X4))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('13', plain,
0.00/0.33	    ![X4 : app_encode_fun($i, app_encode_fun($i, $o))]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xu(X4)), 
0.00/0.33	           sk_Xv(X4))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(X4)), 
0.00/0.33	           sk_Xy0(X4))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('14', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['13', '7'])).
0.00/0.33	tff('15', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))),
0.00/0.33	    inference('simplify', [status(thm)], ['14'])).
0.00/0.33	tff('16', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('clc', [status(thm)], ['15', '4'])).
0.00/0.33	tff('17', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))),
0.00/0.33	    inference('sup-', [status(thm)], ['0', '16'])).
0.00/0.33	tff('18', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('simplify', [status(thm)], ['17'])).
0.00/0.33	tff('19', plain,
0.00/0.33	    ![X4 : app_encode_fun($i, app_encode_fun($i, $o))]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx), sk_Xy)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xu(X4)), 
0.00/0.33	             sk_Xw(X4))
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(X4)), 
0.00/0.33	           sk_Xy0(X4))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('20', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	           sk_Xw(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.33	    inference('sup-', [status(thm)], ['18', '19'])).
0.00/0.33	tff('21', plain,
0.00/0.33	    (app_encode_app($i, $o, 
0.00/0.33	       app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	           sk_Xw(sk_Xp))),
0.00/0.33	    inference('simplify', [status(thm)], ['20'])).
0.00/0.33	tff('22', plain,
0.00/0.33	    (~ app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	         sk_Xw(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))),
0.00/0.33	    inference('clc', [status(thm)], ['21', '4'])).
0.00/0.33	tff('23', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))),
0.00/0.33	    inference('sup-', [status(thm)], ['12', '22'])).
0.00/0.33	tff('24', plain,
0.00/0.33	    (app_encode_app($i, $o, 
0.00/0.33	       app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	         sk_Xy0(sk_Xp))),
0.00/0.33	    inference('simplify', [status(thm)], ['23'])).
0.00/0.33	tff('25', plain,
0.00/0.33	    app_encode_app($i, $o, 
0.00/0.33	      app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	      sk_Xy0(sk_Xp)),
0.00/0.33	    inference('clc', [status(thm)], ['24', '4'])).
0.00/0.33	tff('26', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ $true
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)),
0.00/0.33	    inference('demod', [status(thm)], ['11', '25'])).
0.00/0.33	tff('27', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('simplify', [status(thm)], ['26'])).
0.00/0.33	tff('28', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)
0.00/0.33	       | app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), 
0.00/0.33	           X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['0', '27'])).
0.00/0.33	tff('29', plain,
0.00/0.33	    ![X0]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xu(sk_Xp)), X0)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	             X0)),
0.00/0.33	    inference('simplify', [status(thm)], ['28'])).
0.00/0.33	tff('30', plain,
0.00/0.33	    ![X4 : app_encode_fun($i, app_encode_fun($i, $o))]:
0.00/0.33	      (app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx), sk_Xy)
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xu(X4)), 
0.00/0.33	             sk_Xw(X4))
0.00/0.33	       | ~ app_encode_app($i, $o, 
0.00/0.33	             app_encode_app($i, app_encode_fun($i, $o), X4, sk_Xx0(X4)), 
0.00/0.33	             sk_Xy0(X4))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('31', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	           sk_Xw(sk_Xp))
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))
0.00/0.33	     | app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.33	    inference('sup-', [status(thm)], ['29', '30'])).
0.00/0.33	tff('32', plain,
0.00/0.33	    (app_encode_app($i, $o, 
0.00/0.33	       app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	           sk_Xw(sk_Xp))),
0.00/0.33	    inference('simplify', [status(thm)], ['31'])).
0.00/0.33	tff('33', plain,
0.00/0.33	    (~ app_encode_app($i, $o, 
0.00/0.33	         app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	         sk_Xw(sk_Xp))
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))),
0.00/0.33	    inference('clc', [status(thm)], ['32', '4'])).
0.00/0.33	tff('34', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	           sk_Xw(sk_Xp))),
0.00/0.33	    inference('sup-', [status(thm)], ['0', '33'])).
0.00/0.33	tff('35', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | ~ $true
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	           sk_Xw(sk_Xp))),
0.00/0.33	    inference('demod', [status(thm)], ['34', '25'])).
0.00/0.33	tff('36', plain,
0.00/0.33	    ~ app_encode_app($i, $o, 
0.00/0.33	        app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xv(sk_Xp)), 
0.00/0.33	        sk_Xw(sk_Xp)),
0.00/0.33	    inference('simplify', [status(thm)], ['35'])).
0.00/0.33	tff('37', plain,
0.00/0.33	    (~ $true
0.00/0.33	     | ~ app_encode_app($i, $o, 
0.00/0.33	           app_encode_app($i, app_encode_fun($i, $o), sk_Xr, sk_Xx0(sk_Xp)), 
0.00/0.33	           sk_Xy0(sk_Xp))),
0.00/0.33	    inference('sup-', [status(thm)], ['5', '36'])).
0.00/0.33	tff('38', plain, (~ $true | ~ $true),
0.00/0.33	    inference('demod', [status(thm)], ['37', '25'])).
0.00/0.33	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
0.00/0.33	
0.00/0.33	% SZS output end Refutation
0.00/0.33	EOF
