0.00/0.00	% File    : /export/starexec/sandbox/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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n177.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:51:38 CST 2018
0.00/0.24	% done 52 iterations in 0.037s
0.00/0.24	% SZS status Theorem for 'stdin'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_3, conjecture,
0.00/0.24	  (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a,Xz:a]:
0.00/0.24	     (((![Xq:app_encode_fun(a,$o)]:
0.00/0.24	          (((![Xw:a]:
0.00/0.24	               (app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.24	                               Xw) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	            (![Xu:a,Xv:a]:
0.00/0.24	               ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                 app_encode_app(a,$o,
0.00/0.24	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                Xv)) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	           app_encode_app(a,$o,Xq,Xy))) & 
0.00/0.24	       (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	          (((![Xw:a]:
0.00/0.24	               (app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xy),
0.00/0.24	                               Xw) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	            (![Xu:a,Xv:a]:
0.00/0.24	               ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                 app_encode_app(a,$o,
0.00/0.24	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                Xv)) =>
0.00/0.24	                app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	           app_encode_app(a,$o,Xq,Xz)))) =>
0.00/0.24	      (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	         (((![Xw:a]:
0.00/0.24	              (app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),Xw) =>
0.00/0.24	               app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	           (![Xu:a,Xv:a]:
0.00/0.24	              ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                               Xv)) =>
0.00/0.24	               app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	          app_encode_app(a,$o,Xq,Xz)))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),Xx:a,Xy:a,Xz:a]:
0.00/0.24	       (((![Xq:app_encode_fun(a,$o)]:
0.00/0.24	            (((![Xw:a]:
0.00/0.24	                 (app_encode_app(a,$o,
0.00/0.24	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.24	                                 Xw) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	              (![Xu:a,Xv:a]:
0.00/0.24	                 ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                   app_encode_app(a,$o,
0.00/0.24	                                  app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                  Xv)) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	             app_encode_app(a,$o,Xq,Xy))) & 
0.00/0.24	         (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	            (((![Xw:a]:
0.00/0.24	                 (app_encode_app(a,$o,
0.00/0.24	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xy),
0.00/0.24	                                 Xw) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	              (![Xu:a,Xv:a]:
0.00/0.24	                 ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                   app_encode_app(a,$o,
0.00/0.24	                                  app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                  Xv)) =>
0.00/0.24	                  app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	             app_encode_app(a,$o,Xq,Xz)))) =>
0.00/0.24	        (![Xq:app_encode_fun(a,$o)]:
0.00/0.24	           (((![Xw:a]:
0.00/0.24	                (app_encode_app(a,$o,
0.00/0.24	                                app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.24	                                Xw) =>
0.00/0.24	                 app_encode_app(a,$o,Xq,Xw))) & 
0.00/0.24	             (![Xu:a,Xv:a]:
0.00/0.24	                ((app_encode_app(a,$o,Xq,Xu) & 
0.00/0.24	                  app_encode_app(a,$o,
0.00/0.24	                                 app_encode_app(a,app_encode_fun(a,$o),Xr,Xu),
0.00/0.24	                                 Xv)) =>
0.00/0.24	                 app_encode_app(a,$o,Xq,Xv)))) =>
0.00/0.24	            app_encode_app(a,$o,Xq,Xz))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    ![X3 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X3, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(X3)), 
0.00/0.24	           sk_Xv1(X3))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X3))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X3 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X3, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, X3, sk_Xu1(X3))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X3))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain,
0.00/0.24	    ![X1 : a, X2 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, X1)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, X1), X2)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	           X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['3'])).
0.00/0.24	tff('5', plain, ~ app_encode_app(a, $o, sk_Xq, sk_Xz),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	         sk_Xw1(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('clc', [status(thm)], ['4', '5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X4 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X4, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(X4)), 
0.00/0.24	           sk_Xv(X4))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X4))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), X0)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(X0)), 
0.00/0.24	           sk_Xv(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, sk_Xw(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(X0)), 
0.00/0.24	           sk_Xv(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X4 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X4, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, X4, sk_Xu(X4))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X4))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xu(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '8'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, sk_Xw(X0))
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, X0, sk_Xu(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '2'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(sk_Xq)), X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X4 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X4, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(X4)), 
0.00/0.24	           sk_Xv(X4))
0.00/0.24	       | ~ app_encode_app(a, $o, X4, sk_Xw(X4))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X4 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X4, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, X4, sk_Xu(X4))
0.00/0.24	       | ~ app_encode_app(a, $o, X4, sk_Xw(X4))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('18', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['17', '2'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(sk_Xq)), X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['20'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X4 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X4, sk_Xy)
0.00/0.24	       | ~ app_encode_app(a, $o, X4, sk_Xv(X4))
0.00/0.24	       | ~ app_encode_app(a, $o, X4, sk_Xw(X4))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('23', plain,
0.00/0.24	    (~ app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('clc', [status(thm)], ['21', '22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('clc', [status(thm)], ['15', '23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['25'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv(sk_Xq))),
0.00/0.24	    inference('clc', [status(thm)], ['26', '23'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X4 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X4, sk_Xy)
0.00/0.24	       | ~ app_encode_app(a, $o, X4, sk_Xv(X4))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(X4))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('29', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), 
0.00/0.24	         sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['27', '28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    (app_encode_app(a, $o, 
0.00/0.24	       app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xx), sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['30', '8'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xw(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain, app_encode_app(a, $o, sk_Xq, sk_Xy),
0.00/0.24	    inference('clc', [status(thm)], ['32', '23'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['33', '2'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X3 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X3, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(X3)), 
0.00/0.24	           sk_Xv1(X3))
0.00/0.24	       | ~ app_encode_app(a, $o, X3, sk_Xw1(X3))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X3 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X3, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, X3, sk_Xu1(X3))
0.00/0.24	       | ~ app_encode_app(a, $o, X3, sk_Xw1(X3))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['37', '2'])).
0.00/0.24	tff('39', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	           X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	       | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	             X0)),
0.00/0.24	    inference('clc', [status(thm)], ['39', '5'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '40'])).
0.00/0.24	tff('42', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['41'])).
0.00/0.24	tff('43', plain,
0.00/0.24	    ![X3 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X3, sk_Xz)
0.00/0.24	       | ~ app_encode_app(a, $o, X3, sk_Xv1(X3))
0.00/0.24	       | ~ app_encode_app(a, $o, X3, sk_Xw1(X3))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('44', plain,
0.00/0.24	    (~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('clc', [status(thm)], ['42', '43'])).
0.00/0.24	tff('45', plain, ~ app_encode_app(a, $o, sk_Xq, sk_Xw1(sk_Xq)),
0.00/0.24	    inference('clc', [status(thm)], ['44', '5'])).
0.00/0.24	tff('46', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['35', '45'])).
0.00/0.24	tff('47', plain,
0.00/0.24	    ~ app_encode_app(a, $o, 
0.00/0.24	        app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	        sk_Xw1(sk_Xq)),
0.00/0.24	    inference('simplify', [status(thm)], ['46'])).
0.00/0.24	tff('48', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xu1(sk_Xq)), 
0.00/0.24	           X0)
0.00/0.24	       | app_encode_app(a, $o, sk_Xq, X0)),
0.00/0.24	    inference('clc', [status(thm)], ['6', '47'])).
0.00/0.24	tff('49', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	         sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '48'])).
0.00/0.24	tff('50', plain,
0.00/0.24	    (app_encode_app(a, $o, sk_Xq, sk_Xv1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	         sk_Xw1(sk_Xq))),
0.00/0.24	    inference('simplify', [status(thm)], ['49'])).
0.00/0.24	tff('51', plain,
0.00/0.24	    ![X3 : app_encode_fun(a, $o)]:
0.00/0.24	      (app_encode_app(a, $o, X3, sk_Xz)
0.00/0.24	       | ~ app_encode_app(a, $o, X3, sk_Xv1(X3))
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), 
0.00/0.24	           sk_Xw1(X3))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('52', plain,
0.00/0.24	    (app_encode_app(a, $o, 
0.00/0.24	       app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy), sk_Xw1(sk_Xq))
0.00/0.24	     | app_encode_app(a, $o, sk_Xq, sk_Xz)),
0.00/0.24	    inference('clc', [status(thm)], ['50', '51'])).
0.00/0.24	tff('53', plain, app_encode_app(a, $o, sk_Xq, sk_Xz),
0.00/0.24	    inference('clc', [status(thm)], ['52', '47'])).
0.00/0.24	tff('54', plain, ~ $true, inference('sup-', [status(thm)], ['53', '5'])).
0.00/0.24	tff('55', plain, $false, inference('simplify', [status(thm)], ['54'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
