0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n188.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:49:39 CST 2018
0.00/0.22	% done 18 iterations in 0.013s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_3, conjecture,
0.00/0.23	  (![S:app_encode_fun(app_encode_fun(a,app_encode_fun(a,$o)),$o),Xx:a,Xy:a,
0.00/0.23	     Xz:a]:
0.00/0.23	     (((![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.23	          (((![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.23	               ((app_encode_app(a,$o,
0.00/0.23	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                                Xy0) & 
0.00/0.23	                 app_encode_app(a,$o,
0.00/0.23	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.23	                                Xz0)) =>
0.00/0.23	                app_encode_app(a,$o,
0.00/0.23	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                               Xz0))) & 
0.00/0.23	            app_encode_app(app_encode_fun(a,app_encode_fun(a,$o)),$o,S,Xp)) =>
0.00/0.23	           app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.23	                          Xy))) & 
0.00/0.23	       (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.23	          (((![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.23	               ((app_encode_app(a,$o,
0.00/0.23	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                                Xy0) & 
0.00/0.23	                 app_encode_app(a,$o,
0.00/0.23	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.23	                                Xz0)) =>
0.00/0.23	                app_encode_app(a,$o,
0.00/0.23	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                               Xz0))) & 
0.00/0.23	            app_encode_app(app_encode_fun(a,app_encode_fun(a,$o)),$o,S,Xp)) =>
0.00/0.23	           app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),
0.00/0.23	                          Xz)))) =>
0.00/0.23	      (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.23	         (((![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.23	              ((app_encode_app(a,$o,
0.00/0.23	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                               Xy0) & 
0.00/0.23	                app_encode_app(a,$o,
0.00/0.23	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.23	                               Xz0)) =>
0.00/0.23	               app_encode_app(a,$o,
0.00/0.23	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                              Xz0))) & 
0.00/0.23	           app_encode_app(app_encode_fun(a,app_encode_fun(a,$o)),$o,S,Xp)) =>
0.00/0.23	          app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xz)))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![S:app_encode_fun(app_encode_fun(a,app_encode_fun(a,$o)),$o),Xx:a,Xy:a,
0.00/0.23	       Xz:a]:
0.00/0.23	       (((![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.23	            (((![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.23	                 ((app_encode_app(a,$o,
0.00/0.23	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.23	                                                 Xx0),
0.00/0.23	                                  Xy0) & 
0.00/0.23	                   app_encode_app(a,$o,
0.00/0.23	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.23	                                                 Xy0),
0.00/0.23	                                  Xz0)) =>
0.00/0.23	                  app_encode_app(a,$o,
0.00/0.23	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                                 Xz0))) & 
0.00/0.23	              app_encode_app(app_encode_fun(a,app_encode_fun(a,$o)),$o,S,Xp)) =>
0.00/0.23	             app_encode_app(a,$o,
0.00/0.23	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy))) & 
0.00/0.23	         (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.23	            (((![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.23	                 ((app_encode_app(a,$o,
0.00/0.23	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.23	                                                 Xx0),
0.00/0.23	                                  Xy0) & 
0.00/0.23	                   app_encode_app(a,$o,
0.00/0.23	                                  app_encode_app(a,app_encode_fun(a,$o),Xp,
0.00/0.23	                                                 Xy0),
0.00/0.23	                                  Xz0)) =>
0.00/0.23	                  app_encode_app(a,$o,
0.00/0.23	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                                 Xz0))) & 
0.00/0.23	              app_encode_app(app_encode_fun(a,app_encode_fun(a,$o)),$o,S,Xp)) =>
0.00/0.23	             app_encode_app(a,$o,
0.00/0.23	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),Xz)))) =>
0.00/0.23	        (![Xp:app_encode_fun(a,app_encode_fun(a,$o))]:
0.00/0.23	           (((![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.23	                ((app_encode_app(a,$o,
0.00/0.23	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                                 Xy0) & 
0.00/0.23	                  app_encode_app(a,$o,
0.00/0.23	                                 app_encode_app(a,app_encode_fun(a,$o),Xp,Xy0),
0.00/0.23	                                 Xz0)) =>
0.00/0.23	                 app_encode_app(a,$o,
0.00/0.23	                                app_encode_app(a,app_encode_fun(a,$o),Xp,Xx0),
0.00/0.23	                                Xz0))) & 
0.00/0.23	             app_encode_app(app_encode_fun(a,app_encode_fun(a,$o)),$o,S,Xp)) =>
0.00/0.23	            app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.23	                           Xz))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X4 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.23	      (app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), X4, sk_Xx), sk_Xy)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, X4)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), X4, sk_Xy0(X4)), 
0.00/0.23	           sk_Xz0(X4))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X4 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.23	      (app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), X4, sk_Xx), sk_Xy)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, X4)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), X4, sk_Xx0(X4)), 
0.00/0.23	           sk_Xy0(X4))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X0 : a, X1 : a, X2 : a]:
0.00/0.23	      (~ app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X0), X1)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X1), X2)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X0), X2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, sk_Xp)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.23	             X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.23	tff('4', plain,
0.00/0.23	    app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, sk_S, sk_Xp),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ $true
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.23	             X0)),
0.00/0.23	    inference('demod', [status(thm)], ['3', '4'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy0(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.23	    inference('simplify', [status(thm)], ['5'])).
0.00/0.23	tff('7', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, sk_S, 
0.00/0.23	           sk_Xp)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.23	         sk_Xz0(sk_Xp))),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.23	         sk_Xz0(sk_Xp))),
0.00/0.23	    inference('demod', [status(thm)], ['7', '4'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    (app_encode_app(a, $o, 
0.00/0.23	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx0(sk_Xp)), 
0.00/0.23	       sk_Xz0(sk_Xp))
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.23	    inference('simplify', [status(thm)], ['8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X4 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.23	      (app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), X4, sk_Xx), sk_Xy)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, X4)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), X4, sk_Xx0(X4)), 
0.00/0.23	             sk_Xz0(X4))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('11', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	     | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, sk_S, 
0.00/0.23	           sk_Xp)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.23	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.23	tff('12', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.23	     | ~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)),
0.00/0.23	    inference('demod', [status(thm)], ['11', '4'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    app_encode_app(a, $o, 
0.00/0.23	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy),
0.00/0.23	    inference('simplify', [status(thm)], ['12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['13', '2'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ~ app_encode_app(a, $o, 
0.00/0.23	        app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xz),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('17', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.23	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X3 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.23	      (app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), X3, sk_Xy), sk_Xz)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, X3)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), X3, sk_Xy01(X3)), 
0.00/0.23	           sk_Xz01(X3))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X3 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.23	      (app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), X3, sk_Xy), sk_Xz)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, X3)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), X3, sk_Xx01(X3)), 
0.00/0.23	           sk_Xy01(X3))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('20', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, sk_Xp)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy01(sk_Xp)), 
0.00/0.23	             X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['19', '2'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ $true
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy01(sk_Xp)), 
0.00/0.23	             X0)),
0.00/0.23	    inference('demod', [status(thm)], ['20', '4'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    ![X0 : a]:
0.00/0.23	      (~ app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy01(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.23	           X0)
0.00/0.23	       | app_encode_app(a, $o, 
0.00/0.23	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.23	    inference('simplify', [status(thm)], ['21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, sk_S, 
0.00/0.23	           sk_Xp)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.23	         sk_Xz01(sk_Xp))),
0.00/0.23	    inference('sup-', [status(thm)], ['18', '22'])).
0.00/0.23	tff('24', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.23	         sk_Xz01(sk_Xp))),
0.00/0.23	    inference('demod', [status(thm)], ['23', '4'])).
0.00/0.23	tff('25', plain,
0.00/0.23	    (app_encode_app(a, $o, 
0.00/0.23	       app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx01(sk_Xp)), 
0.00/0.23	       sk_Xz01(sk_Xp))
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.23	    inference('simplify', [status(thm)], ['24'])).
0.00/0.23	tff('26', plain,
0.00/0.23	    ![X3 : app_encode_fun(a, app_encode_fun(a, $o))]:
0.00/0.23	      (app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), X3, sk_Xy), sk_Xz)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, 
0.00/0.23	             sk_S, X3)
0.00/0.23	       | ~ app_encode_app(a, $o, 
0.00/0.23	             app_encode_app(a, app_encode_fun(a, $o), X3, sk_Xx01(X3)), 
0.00/0.23	             sk_Xz01(X3))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('27', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	     | ~ app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), $o, sk_S, 
0.00/0.23	           sk_Xp)
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.23	    inference('sup-', [status(thm)], ['25', '26'])).
0.00/0.23	tff('28', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)
0.00/0.23	     | ~ $true
0.00/0.23	     | app_encode_app(a, $o, 
0.00/0.23	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz)),
0.00/0.23	    inference('demod', [status(thm)], ['27', '4'])).
0.00/0.23	tff('29', plain,
0.00/0.23	    app_encode_app(a, $o, 
0.00/0.23	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xz),
0.00/0.23	    inference('simplify', [status(thm)], ['28'])).
0.00/0.23	tff('30', plain, (~ $true | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['17', '29'])).
0.00/0.23	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
