0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n105.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:20:24 CST 2018
0.00/0.30	% done 105 iterations in 0.094s
0.00/0.30	% SZS status Theorem for 'stdin'
0.00/0.30	% SZS output start Refutation
0.00/0.31	tff(zf_stmt_6, axiom,
0.00/0.31	  (subsetI1 <=>
0.00/0.31	   (![A,B]:
0.00/0.31	      ((![Xx]:
0.00/0.31	          (app_encode_app($i,$o,
0.00/0.31	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.31	           app_encode_app($i,$o,
0.00/0.31	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B))) =>
0.00/0.31	       app_encode_app($i,$o,
0.00/0.31	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B))))).
0.00/0.31	tff('0', plain,
0.00/0.31	    ![X4, X5]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X5), X4)
0.00/0.31	       | ~ subsetI1),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.31	tff(zf_stmt_16, conjecture,
0.00/0.31	  (subsetI1 =>
0.00/0.31	   (subsetE =>
0.00/0.31	    (setextsub =>
0.00/0.31	     (binintersectI =>
0.00/0.31	      (binintersectRsub =>
0.00/0.31	       (![A,B]:
0.00/0.31	          (app_encode_app($i,$o,
0.00/0.31	                          app_encode_app($i,app_encode_fun($i,$o),subset,B),A) =>
0.00/0.31	           (app_encode_app($i,$i,
0.00/0.31	                           app_encode_app($i,app_encode_fun($i,$i),
0.00/0.31	                                          binintersect,A),
0.00/0.31	                           B) =
0.00/0.31	            B))))))))).
0.00/0.31	tff(zf_stmt_0, negated_conjecture,
0.00/0.31	  (~
0.00/0.31	    (subsetI1 =>
0.00/0.31	     (subsetE =>
0.00/0.31	      (setextsub =>
0.00/0.31	       (binintersectI =>
0.00/0.31	        (binintersectRsub =>
0.00/0.31	         (![A,B]:
0.00/0.31	            (app_encode_app($i,$o,
0.00/0.31	                            app_encode_app($i,app_encode_fun($i,$o),subset,B),
0.00/0.31	                            A) =>
0.00/0.31	             (app_encode_app($i,$i,
0.00/0.31	                             app_encode_app($i,app_encode_fun($i,$i),
0.00/0.31	                                            binintersect,A),
0.00/0.31	                             B) =
0.00/0.31	              B)))))))))).
0.00/0.31	tff('1', plain, subsetI1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('2', plain,
0.00/0.31	    ![X4, X5]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X5), X4)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.31	tff('3', plain,
0.00/0.31	    ![X4, X5]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), subset, X5), X4)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)),
0.00/0.31	    inference('simplify', [status(thm)], ['2'])).
0.00/0.31	tff(zf_stmt_13, axiom,
0.00/0.31	  (binintersectI <=>
0.00/0.31	   (![A,B,Xx]:
0.00/0.31	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.31	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.00/0.31	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.31	                       app_encode_app($i,$i,
0.00/0.31	                                      app_encode_app($i,
0.00/0.31	                                                     app_encode_fun($i,$i),
0.00/0.31	                                                     binintersect,A),
0.00/0.31	                                      B))))))).
0.00/0.31	tff('4', plain,
0.00/0.31	    ![X12, X13, X14]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X12), X13)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X12), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X13), 
0.00/0.31	             X14))
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X12), X14)
0.00/0.31	       | ~ binintersectI),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.31	tff('5', plain, binintersectI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('6', plain,
0.00/0.31	    ![X12, X13, X14]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X12), X13)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X12), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X13), 
0.00/0.31	             X14))
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X12), X14)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.31	tff('7', plain,
0.00/0.31	    ![X12, X13, X14]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X12), X14)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X12), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X13), 
0.00/0.31	             X14))
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X12), X13)),
0.00/0.31	    inference('simplify', [status(thm)], ['6'])).
0.00/0.31	tff('8', plain,
0.00/0.31	    ![X4, X5]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X5), X4)
0.00/0.31	       | ~ subsetI1),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.31	tff('9', plain,
0.00/0.31	    ![X4, X5]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X5), X4)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['8', '1'])).
0.00/0.31	tff('10', plain,
0.00/0.31	    ![X4, X5]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), subset, X5), X4)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
0.00/0.31	             X4)),
0.00/0.31	    inference('simplify', [status(thm)], ['9'])).
0.00/0.31	tff('11', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	               sk_Xx(
0.00/0.31	                 app_encode_app($i, $i, 
0.00/0.31	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
0.00/0.31	                     X1), X0), X2)), X1)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	               sk_Xx(
0.00/0.31	                 app_encode_app($i, $i, 
0.00/0.31	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
0.00/0.31	                     X1), X0), X2)), X0)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X2), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	             X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['7', '10'])).
0.00/0.31	tff('12', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), subset, X2), 
0.00/0.31	         app_encode_app($i, $i, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), X0))
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	               sk_Xx(
0.00/0.31	                 app_encode_app($i, $i, 
0.00/0.31	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
0.00/0.31	                     X1), X0), X2)), X0)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	               sk_Xx(
0.00/0.31	                 app_encode_app($i, $i, 
0.00/0.31	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
0.00/0.31	                     X1), X0), X2)), X1)),
0.00/0.31	    inference('simplify', [status(thm)], ['11'])).
0.00/0.31	tff('13', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	             X0))
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	               sk_Xx(
0.00/0.31	                 app_encode_app($i, $i, 
0.00/0.31	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
0.00/0.31	                     X1), X0), X0)), X1)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	             X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['3', '12'])).
0.00/0.31	tff('14', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	             sk_Xx(
0.00/0.31	               app_encode_app($i, $i, 
0.00/0.31	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	                 X0), X0)), X1)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	             X0))),
0.00/0.31	    inference('simplify', [status(thm)], ['13'])).
0.00/0.31	tff('15', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	             X0))
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	             X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['3', '14'])).
0.00/0.31	tff('16', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      app_encode_app($i, $o, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	        app_encode_app($i, $i, 
0.00/0.31	          app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['15'])).
0.00/0.31	tff(zf_stmt_10, axiom,
0.00/0.31	  (setextsub <=>
0.00/0.31	   (![A,B]:
0.00/0.31	      (app_encode_app($i,$o,
0.00/0.31	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B) =>
0.00/0.31	       (app_encode_app($i,$o,
0.00/0.31	                       app_encode_app($i,app_encode_fun($i,$o),subset,B),A) =>
0.00/0.31	        (A = B)))))).
0.00/0.31	tff('17', plain,
0.00/0.31	    ![X10, X11]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X10), X11)
0.00/0.31	       | X10 = X11
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.00/0.31	       | ~ setextsub),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.31	tff('18', plain, setextsub, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('19', plain,
0.00/0.31	    ![X10, X11]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X10), X11)
0.00/0.31	       | X10 = X11
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['17', '18'])).
0.00/0.31	tff('20', plain,
0.00/0.31	    ![X10, X11]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.00/0.31	       | X10 = X11
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X10), X11)),
0.00/0.31	    inference('simplify', [status(thm)], ['19'])).
0.00/0.31	tff('21', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	               app_encode_app($i, $i, 
0.00/0.31	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	                 X0)), X0)
0.00/0.31	       | app_encode_app($i, $i, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), X0)
0.00/0.31	          = X0),
0.00/0.31	    inference('sup-', [status(thm)], ['16', '20'])).
0.00/0.31	tff(zf_stmt_15, axiom,
0.00/0.31	  (binintersectRsub <=>
0.00/0.31	   (![A,B]:
0.00/0.31	      app_encode_app($i,$o,
0.00/0.31	                     app_encode_app($i,app_encode_fun($i,$o),subset,
0.00/0.31	                                    app_encode_app($i,$i,
0.00/0.31	                                                   app_encode_app($i,
0.00/0.31	                                                                  app_encode_fun(
0.00/0.31	                                                                  $i,$i),
0.00/0.31	                                                                  binintersect,
0.00/0.31	                                                                  A),
0.00/0.31	                                                   B)),
0.00/0.31	                     B)))).
0.00/0.31	tff('22', plain,
0.00/0.31	    ![X15, X16]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X15), 
0.00/0.31	             X16)), X16)
0.00/0.31	       | ~ binintersectRsub),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.31	tff('23', plain, binintersectRsub,
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('24', plain,
0.00/0.31	    ![X15, X16]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, X15), 
0.00/0.31	             X16)), X16)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['22', '23'])).
0.00/0.31	tff('25', plain,
0.00/0.31	    ![X15, X16]:
0.00/0.31	      app_encode_app($i, $o, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	          app_encode_app($i, $i, 
0.00/0.31	            app_encode_app($i, app_encode_fun($i, $i), binintersect, X15), 
0.00/0.31	            X16)), X16),
0.00/0.31	    inference('simplify', [status(thm)], ['24'])).
0.00/0.31	tff('26', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ $true
0.00/0.31	       | app_encode_app($i, $i, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), X0)
0.00/0.31	          = X0),
0.00/0.31	    inference('demod', [status(thm)], ['21', '25'])).
0.00/0.31	tff('27', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      app_encode_app($i, $i, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), X0)
0.00/0.31	       = X0,
0.00/0.31	    inference('simplify', [status(thm)], ['26'])).
0.00/0.31	tff(zf_stmt_8, axiom,
0.00/0.31	  (subsetE <=>
0.00/0.31	   (![A,B,Xx]:
0.00/0.31	      (app_encode_app($i,$o,
0.00/0.31	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B) =>
0.00/0.31	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.31	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B)))))).
0.00/0.31	tff('28', plain,
0.00/0.31	    ![X7, X8, X9]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X8), X9)
0.00/0.31	       | ~ subsetE),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.31	tff('29', plain, subsetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('30', plain,
0.00/0.31	    ![X7, X8, X9]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X8), X9)
0.00/0.31	       | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['28', '29'])).
0.00/0.31	tff('31', plain,
0.00/0.31	    ![X7, X8, X9]:
0.00/0.31	      (~ app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X8), X9)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)),
0.00/0.31	    inference('simplify', [status(thm)], ['30'])).
0.00/0.31	tff('32', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0))
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)),
0.00/0.31	    inference('sup-', [status(thm)], ['25', '31'])).
0.00/0.31	tff('33', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0))),
0.00/0.31	    inference('simplify', [status(thm)], ['32'])).
0.00/0.31	tff('34', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0)), X2)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	             sk_Xx(X2, 
0.00/0.31	               app_encode_app($i, $i, 
0.00/0.31	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	                 X0))), X0)),
0.00/0.31	    inference('sup-', [status(thm)], ['3', '33'])).
0.00/0.31	tff('35', plain,
0.00/0.31	    ![X0, X1, X2]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	           sk_Xx(X2, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0))), X0)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0)), X2)),
0.00/0.31	    inference('simplify', [status(thm)], ['34'])).
0.00/0.31	tff('36', plain,
0.00/0.31	    app_encode_app($i, $o, 
0.00/0.31	      app_encode_app($i, app_encode_fun($i, $o), subset, sk_B5), sk_A5),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('37', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B5)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A5)),
0.00/0.31	    inference('sup-', [status(thm)], ['36', '31'])).
0.00/0.31	tff('38', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A5)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B5)),
0.00/0.31	    inference('simplify', [status(thm)], ['37'])).
0.00/0.31	tff('39', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_A5, X0)), 
0.00/0.31	             sk_B5)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_A5)),
0.00/0.31	    inference('sup-', [status(thm)], ['38', '10'])).
0.00/0.31	tff('40', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_A5)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_A5, X0)), 
0.00/0.31	             sk_B5)),
0.00/0.31	    inference('simplify', [status(thm)], ['39'])).
0.00/0.31	tff('41', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)), sk_A5)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)), sk_A5)),
0.00/0.31	    inference('sup-', [status(thm)], ['35', '40'])).
0.00/0.31	tff('42', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      app_encode_app($i, $o, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	          app_encode_app($i, $i, 
0.00/0.31	            app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	            sk_B5)), sk_A5),
0.00/0.31	    inference('simplify', [status(thm)], ['41'])).
0.00/0.31	tff('43', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5))
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_A5)),
0.00/0.31	    inference('sup-', [status(thm)], ['42', '31'])).
0.00/0.31	tff('44', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_A5)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5))),
0.00/0.31	    inference('simplify', [status(thm)], ['43'])).
0.00/0.31	tff('45', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)), X1)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	             sk_Xx(X1, 
0.00/0.31	               app_encode_app($i, $i, 
0.00/0.31	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	                 sk_B5))), sk_A5)),
0.00/0.31	    inference('sup-', [status(thm)], ['3', '44'])).
0.00/0.31	tff('46', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (app_encode_app($i, $o, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.31	           sk_Xx(X1, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5))), sk_A5)
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)), X1)),
0.00/0.31	    inference('simplify', [status(thm)], ['45'])).
0.00/0.31	tff('47', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      (~ $true
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)))
0.00/0.31	       | app_encode_app($i, $o, 
0.00/0.31	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)), 
0.00/0.31	           app_encode_app($i, $i, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	               sk_B5)))),
0.00/0.31	    inference('sup-', [status(thm)], ['46', '14'])).
0.00/0.31	tff('48', plain,
0.00/0.31	    ![X0]:
0.00/0.31	      app_encode_app($i, $o, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.31	          app_encode_app($i, $i, 
0.00/0.31	            app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	            sk_B5)), 
0.00/0.31	        app_encode_app($i, $i, 
0.00/0.31	          app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	          app_encode_app($i, $i, 
0.00/0.31	            app_encode_app($i, app_encode_fun($i, $i), binintersect, X0), 
0.00/0.31	            sk_B5))),
0.00/0.31	    inference('simplify', [status(thm)], ['47'])).
0.00/0.31	tff('49', plain,
0.00/0.31	    app_encode_app($i, $o, 
0.00/0.31	      app_encode_app($i, app_encode_fun($i, $o), subset, sk_B5), 
0.00/0.31	      app_encode_app($i, $i, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	        app_encode_app($i, $i, 
0.00/0.31	          app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_B5), 
0.00/0.31	          sk_B5))),
0.00/0.31	    inference('sup+', [status(thm)], ['27', '48'])).
0.00/0.31	tff('50', plain,
0.00/0.31	    app_encode_app($i, $o, 
0.00/0.31	      app_encode_app($i, app_encode_fun($i, $o), subset, sk_B5), 
0.00/0.31	      app_encode_app($i, $i, 
0.00/0.31	        app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	        sk_B5)),
0.00/0.31	    inference('demod', [status(thm)], ['49', '27'])).
0.00/0.31	tff('51', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0))
0.00/0.31	       | X0
0.00/0.31	          = app_encode_app($i, $i, 
0.00/0.31	              app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	              X0)),
0.00/0.31	    inference('sup-', [status(thm)], ['25', '20'])).
0.00/0.31	tff('52', plain,
0.00/0.31	    ![X0, X1]:
0.00/0.31	      (X0
0.00/0.31	        = app_encode_app($i, $i, 
0.00/0.31	            app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), X0)
0.00/0.31	       | ~ app_encode_app($i, $o, 
0.00/0.31	             app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.00/0.31	             app_encode_app($i, $i, 
0.00/0.31	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X1), 
0.00/0.31	               X0))),
0.00/0.31	    inference('simplify', [status(thm)], ['51'])).
0.00/0.31	tff('53', plain,
0.00/0.31	    (~ $true
0.00/0.31	     | sk_B5
0.00/0.31	        = app_encode_app($i, $i, 
0.00/0.31	            app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	            sk_B5)),
0.00/0.31	    inference('sup-', [status(thm)], ['50', '52'])).
0.00/0.31	tff('54', plain,
0.00/0.31	    sk_B5
0.00/0.31	     = app_encode_app($i, $i, 
0.00/0.31	         app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), 
0.00/0.31	         sk_B5),
0.00/0.31	    inference('simplify', [status(thm)], ['53'])).
0.00/0.31	tff('55', plain,
0.00/0.31	    app_encode_app($i, $i, 
0.00/0.31	      app_encode_app($i, app_encode_fun($i, $i), binintersect, sk_A5), sk_B5)
0.00/0.31	     != sk_B5,
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('56', plain, $false,
0.00/0.31	    inference('simplify_reflect-', [status(thm)], ['54', '55'])).
0.00/0.31	
0.00/0.31	% SZS output end Refutation
0.00/0.31	EOF
