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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.50	% Computer   : n148.star.cs.uiowa.edu
0.00/0.50	% Model      : x86_64 x86_64
0.00/0.50	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.50	% Memory     : 32218.625MB
0.00/0.50	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.50	% CPULimit   : 300
0.00/0.50	% DateTime   : Fri Feb  2 17:13:42 CST 2018
0.21/0.73	% done 170 iterations in 0.220s
0.21/0.73	% SZS status Theorem for 'stdin'
0.21/0.73	% SZS output start Refutation
0.21/0.73	tff(zf_stmt_6, axiom,
0.21/0.73	  (powersetI <=>
0.21/0.73	   (![A,B]:
0.21/0.73	      ((![Xx]:
0.21/0.73	          (app_encode_app($i,$o,
0.21/0.73	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.21/0.73	           app_encode_app($i,$o,
0.21/0.73	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))) =>
0.21/0.73	       app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
0.21/0.73	                      app_encode_app($i,$i,powerset,A)))))).
0.21/0.73	tff('0', plain,
0.21/0.73	    ![X4, X5]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.21/0.73	           app_encode_app($i, $i, powerset, X5))
0.21/0.73	       | ~ powersetI),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.21/0.73	tff(zf_stmt_14, conjecture,
0.21/0.73	  (powersetI =>
0.21/0.73	   (powersetE =>
0.21/0.73	    (subsetI2 =>
0.21/0.73	     (subsetE =>
0.21/0.73	      (![A,B]:
0.21/0.73	         (app_encode_app($i,$o,
0.21/0.73	                         app_encode_app($i,app_encode_fun($i,$o),subset,A),B) =>
0.21/0.73	          app_encode_app($i,$o,
0.21/0.73	                         app_encode_app($i,app_encode_fun($i,$o),subset,
0.21/0.73	                                        app_encode_app($i,$i,powerset,A)),
0.21/0.73	                         app_encode_app($i,$i,powerset,B))))))))).
0.21/0.73	tff(zf_stmt_0, negated_conjecture,
0.21/0.73	  (~
0.21/0.73	    (powersetI =>
0.21/0.73	     (powersetE =>
0.21/0.73	      (subsetI2 =>
0.21/0.73	       (subsetE =>
0.21/0.73	        (![A,B]:
0.21/0.73	           (app_encode_app($i,$o,
0.21/0.73	                           app_encode_app($i,app_encode_fun($i,$o),subset,A),
0.21/0.73	                           B) =>
0.21/0.73	            app_encode_app($i,$o,
0.21/0.73	                           app_encode_app($i,app_encode_fun($i,$o),subset,
0.21/0.73	                                          app_encode_app($i,$i,powerset,A)),
0.21/0.73	                           app_encode_app($i,$i,powerset,B)))))))))).
0.21/0.73	tff('1', plain, powersetI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.21/0.73	tff('2', plain,
0.21/0.73	    ![X4, X5]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.21/0.73	           app_encode_app($i, $i, powerset, X5))
0.21/0.73	       | ~ $true),
0.21/0.73	    inference('demod', [status(thm)], ['0', '1'])).
0.21/0.73	tff('3', plain,
0.21/0.73	    ![X4, X5]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.21/0.73	         app_encode_app($i, $i, powerset, X5))
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)),
0.21/0.73	    inference('simplify', [status(thm)], ['2'])).
0.21/0.73	tff(zf_stmt_11, axiom,
0.21/0.73	  (subsetI2 <=>
0.21/0.73	   (![A,B]:
0.21/0.73	      ((![Xx]:
0.21/0.73	          (app_encode_app($i,$o,
0.21/0.73	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.21/0.73	           app_encode_app($i,$o,
0.21/0.73	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B))) =>
0.21/0.73	       app_encode_app($i,$o,
0.21/0.73	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B))))).
0.21/0.73	tff('4', plain,
0.21/0.73	    ![X10, X11]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X10, X11)), 
0.21/0.73	         X11)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.21/0.73	       | ~ subsetI2),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.21/0.73	tff('5', plain, subsetI2, inference('cnf', [status(esa)], [zf_stmt_0])).
0.21/0.73	tff('6', plain,
0.21/0.73	    ![X10, X11]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X10, X11)), 
0.21/0.73	         X11)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.21/0.73	       | ~ $true),
0.21/0.73	    inference('demod', [status(thm)], ['4', '5'])).
0.21/0.73	tff('7', plain,
0.21/0.73	    ![X10, X11]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X10, X11)), 
0.21/0.73	           X11)),
0.21/0.73	    inference('simplify', [status(thm)], ['6'])).
0.21/0.73	tff(zf_stmt_8, axiom,
0.21/0.73	  (powersetE <=>
0.21/0.73	   (![A,B,Xx]:
0.21/0.73	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
0.21/0.73	                      app_encode_app($i,$i,powerset,A)) =>
0.21/0.73	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.21/0.73	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
0.21/0.73	tff('8', plain,
0.21/0.73	    ![X7, X8, X9]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.21/0.73	             app_encode_app($i, $i, powerset, X9))
0.21/0.73	       | ~ powersetE),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.21/0.73	tff('9', plain, powersetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.21/0.73	tff('10', plain,
0.21/0.73	    ![X7, X8, X9]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.21/0.73	             app_encode_app($i, $i, powerset, X9))
0.21/0.73	       | ~ $true),
0.21/0.73	    inference('demod', [status(thm)], ['8', '9'])).
0.21/0.73	tff('11', plain,
0.21/0.73	    ![X7, X8, X9]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.21/0.73	           app_encode_app($i, $i, powerset, X9))
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)),
0.21/0.73	    inference('simplify', [status(thm)], ['10'])).
0.21/0.73	tff('12', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (~ $true
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X1, X0)), X1)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X2), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)),
0.21/0.73	    inference('sup-', [status(thm)], ['3', '11'])).
0.21/0.73	tff('13', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X2), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X1, X0)), X1)),
0.21/0.73	    inference('simplify', [status(thm)], ['12'])).
0.21/0.73	tff('14', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (~ $true
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X2)), X0)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X1, X0)), 
0.21/0.73	           X2)),
0.21/0.73	    inference('sup-', [status(thm)], ['7', '13'])).
0.21/0.73	tff('15', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X1, X0)), X2)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X2)), X0)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), X1)),
0.21/0.73	    inference('simplify', [status(thm)], ['14'])).
0.21/0.73	tff('16', plain,
0.21/0.73	    ![X10, X11]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X10, X11)), 
0.21/0.73	           X10)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.21/0.73	       | ~ subsetI2),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.21/0.73	tff('17', plain,
0.21/0.73	    ![X10, X11]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X10, X11)), 
0.21/0.73	           X10)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.21/0.73	       | ~ $true),
0.21/0.73	    inference('demod', [status(thm)], ['16', '5'])).
0.21/0.73	tff('18', plain,
0.21/0.73	    ![X10, X11]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, X11), X10)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2(X10, X11)), 
0.21/0.73	             X10)),
0.21/0.73	    inference('simplify', [status(thm)], ['17'])).
0.21/0.73	tff('19', plain,
0.21/0.73	    ![X0, X1]:
0.21/0.73	      (~ $true
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X1, X0)), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)),
0.21/0.73	    inference('sup-', [status(thm)], ['15', '18'])).
0.21/0.73	tff('20', plain,
0.21/0.73	    ![X0, X1]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X1, X0)), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)),
0.21/0.73	    inference('simplify', [status(thm)], ['19'])).
0.21/0.73	tff('21', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (~ $true
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	             app_encode_app($i, $i, powerset, X0)), X1)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
0.21/0.73	             sk_Xx2(X1, app_encode_app($i, $i, powerset, X0)))
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)),
0.21/0.73	    inference('sup-', [status(thm)], ['7', '11'])).
0.21/0.73	tff('22', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
0.21/0.73	             sk_Xx2(X1, app_encode_app($i, $i, powerset, X0)))
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	             app_encode_app($i, $i, powerset, X0)), X1)),
0.21/0.73	    inference('simplify', [status(thm)], ['21'])).
0.21/0.73	tff('23', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (~ $true
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	             sk_Xx2(X1, app_encode_app($i, $i, powerset, X0))), X2)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	             app_encode_app($i, $i, powerset, X0)), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	             sk_Xx(sk_Xx2(X1, app_encode_app($i, $i, powerset, X0)), X2)), 
0.21/0.73	           X0)),
0.21/0.73	    inference('sup-', [status(thm)], ['20', '22'])).
0.21/0.73	tff('24', plain,
0.21/0.73	    ![X0, X1, X2]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	           sk_Xx(sk_Xx2(X1, app_encode_app($i, $i, powerset, X0)), X2)), X0)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	             app_encode_app($i, $i, powerset, X0)), X1)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	             sk_Xx2(X1, app_encode_app($i, $i, powerset, X0))), X2)),
0.21/0.73	    inference('simplify', [status(thm)], ['23'])).
0.21/0.73	tff('25', plain,
0.21/0.73	    app_encode_app($i, $o, 
0.21/0.73	      app_encode_app($i, app_encode_fun($i, $o), subset, sk_A4), sk_B4),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.21/0.73	tff(zf_stmt_13, axiom,
0.21/0.73	  (subsetE <=>
0.21/0.73	   (![A,B,Xx]:
0.21/0.73	      (app_encode_app($i,$o,
0.21/0.73	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B) =>
0.21/0.73	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.21/0.73	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B)))))).
0.21/0.73	tff('26', plain,
0.21/0.73	    ![X13, X14, X15]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X14)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X15)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), subset, X14), X15)
0.21/0.73	       | ~ subsetE),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.21/0.73	tff('27', plain, subsetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.21/0.73	tff('28', plain,
0.21/0.73	    ![X13, X14, X15]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X14)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X15)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), subset, X14), X15)
0.21/0.73	       | ~ $true),
0.21/0.73	    inference('demod', [status(thm)], ['26', '27'])).
0.21/0.73	tff('29', plain,
0.21/0.73	    ![X13, X14, X15]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X14), X15)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X15)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X13), X14)),
0.21/0.73	    inference('simplify', [status(thm)], ['28'])).
0.21/0.73	tff('30', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (~ $true
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A4)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B4)),
0.21/0.73	    inference('sup-', [status(thm)], ['25', '29'])).
0.21/0.73	tff('31', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B4)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A4)),
0.21/0.73	    inference('simplify', [status(thm)], ['30'])).
0.21/0.73	tff('32', plain,
0.21/0.73	    ![X4, X5]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.21/0.73	           app_encode_app($i, $i, powerset, X5))
0.21/0.73	       | ~ powersetI),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.21/0.73	tff('33', plain,
0.21/0.73	    ![X4, X5]:
0.21/0.73	      (~ app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.21/0.73	           app_encode_app($i, $i, powerset, X5))
0.21/0.73	       | ~ $true),
0.21/0.73	    inference('demod', [status(thm)], ['32', '1'])).
0.21/0.73	tff('34', plain,
0.21/0.73	    ![X4, X5]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.21/0.73	         app_encode_app($i, $i, powerset, X5))
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
0.21/0.73	             X5)),
0.21/0.73	    inference('simplify', [status(thm)], ['33'])).
0.21/0.73	tff('35', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (~ $true
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, sk_B4)), 
0.21/0.73	             sk_A4)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.21/0.73	           app_encode_app($i, $i, powerset, sk_B4))),
0.21/0.73	    inference('sup-', [status(thm)], ['31', '34'])).
0.21/0.73	tff('36', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, sk_B4)), 
0.21/0.73	             sk_A4)),
0.21/0.73	    inference('simplify', [status(thm)], ['35'])).
0.21/0.73	tff('37', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (~ $true
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	               sk_Xx(sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), X0), 
0.21/0.73	                 sk_B4)), sk_A4)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.21/0.73	           app_encode_app($i, $i, powerset, sk_B4))),
0.21/0.73	    inference('sup-', [status(thm)], ['36', '18'])).
0.21/0.73	tff('38', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	               sk_Xx(sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), X0), 
0.21/0.73	                 sk_B4)), sk_A4)),
0.21/0.73	    inference('simplify', [status(thm)], ['37'])).
0.21/0.73	tff('39', plain,
0.21/0.73	    (~ $true
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	           sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	             app_encode_app($i, $i, powerset, sk_A4))), sk_B4)
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	           app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	           app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))),
0.21/0.73	    inference('sup-', [status(thm)], ['24', '38'])).
0.21/0.73	tff('40', plain,
0.21/0.73	    (app_encode_app($i, $o, 
0.21/0.73	       app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	       app_encode_app($i, $i, powerset, sk_B4))
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	           sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	             app_encode_app($i, $i, powerset, sk_A4))), sk_B4)),
0.21/0.73	    inference('simplify', [status(thm)], ['39'])).
0.21/0.73	tff('41', plain,
0.21/0.73	    ~ app_encode_app($i, $o, 
0.21/0.73	        app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	          app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	        app_encode_app($i, $i, powerset, sk_B4)),
0.21/0.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.21/0.73	tff('42', plain,
0.21/0.73	    app_encode_app($i, $o, 
0.21/0.73	      app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	        sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	          app_encode_app($i, $i, powerset, sk_A4))), sk_B4),
0.21/0.73	    inference('clc', [status(thm)], ['40', '41'])).
0.21/0.73	tff('43', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (~ $true
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4)))
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B4)),
0.21/0.73	    inference('sup-', [status(thm)], ['42', '29'])).
0.21/0.73	tff('44', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B4)
0.21/0.73	       | ~ app_encode_app($i, $o, 
0.21/0.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4)))),
0.21/0.73	    inference('simplify', [status(thm)], ['43'])).
0.21/0.73	tff('45', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (~ $true
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4))), 
0.21/0.73	           app_encode_app($i, $i, powerset, X0))
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	             sk_Xx(
0.21/0.73	               sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	                 app_encode_app($i, $i, powerset, sk_A4)), X0)), sk_B4)),
0.21/0.73	    inference('sup-', [status(thm)], ['3', '44'])).
0.21/0.73	tff('46', plain,
0.21/0.73	    ![X0]:
0.21/0.73	      (app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	           sk_Xx(
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4)), X0)), sk_B4)
0.21/0.73	       | app_encode_app($i, $o, 
0.21/0.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4))), 
0.21/0.73	           app_encode_app($i, $i, powerset, X0))),
0.21/0.73	    inference('simplify', [status(thm)], ['45'])).
0.21/0.73	tff('47', plain,
0.21/0.73	    (~ $true
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	           sk_Xx(
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4)), sk_B4)), sk_B4)
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	           app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))),
0.21/0.73	    inference('sup-', [status(thm)], ['46', '18'])).
0.21/0.73	tff('48', plain,
0.21/0.73	    (app_encode_app($i, $o, 
0.21/0.73	       app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	       app_encode_app($i, $i, powerset, sk_B4))
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	           sk_Xx(
0.21/0.73	             sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	               app_encode_app($i, $i, powerset, sk_A4)), sk_B4)), sk_B4)),
0.21/0.73	    inference('simplify', [status(thm)], ['47'])).
0.21/0.73	tff('49', plain,
0.21/0.73	    app_encode_app($i, $o, 
0.21/0.73	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	        sk_Xx(
0.21/0.73	          sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	            app_encode_app($i, $i, powerset, sk_A4)), sk_B4)), sk_B4),
0.21/0.73	    inference('clc', [status(thm)], ['48', '41'])).
0.21/0.73	tff('50', plain,
0.21/0.73	    (~ $true
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	           sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	             app_encode_app($i, $i, powerset, sk_A4))), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))),
0.21/0.73	    inference('sup-', [status(thm)], ['49', '34'])).
0.21/0.73	tff('51', plain,
0.21/0.73	    app_encode_app($i, $o, 
0.21/0.73	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.21/0.73	        sk_Xx2(app_encode_app($i, $i, powerset, sk_B4), 
0.21/0.73	          app_encode_app($i, $i, powerset, sk_A4))), 
0.21/0.73	      app_encode_app($i, $i, powerset, sk_B4)),
0.21/0.73	    inference('simplify', [status(thm)], ['50'])).
0.21/0.73	tff('52', plain,
0.21/0.73	    (~ $true
0.21/0.73	     | app_encode_app($i, $o, 
0.21/0.73	         app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	           app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	         app_encode_app($i, $i, powerset, sk_B4))),
0.21/0.73	    inference('sup-', [status(thm)], ['51', '18'])).
0.21/0.73	tff('53', plain,
0.21/0.73	    app_encode_app($i, $o, 
0.21/0.73	      app_encode_app($i, app_encode_fun($i, $o), subset, 
0.21/0.73	        app_encode_app($i, $i, powerset, sk_A4)), 
0.21/0.73	      app_encode_app($i, $i, powerset, sk_B4)),
0.21/0.73	    inference('simplify', [status(thm)], ['52'])).
0.21/0.73	tff('54', plain, ~ $true, inference('sup-', [status(thm)], ['53', '41'])).
0.21/0.73	tff('55', plain, $false, inference('simplify', [status(thm)], ['54'])).
0.21/0.73	
0.21/0.73	% SZS output end Refutation
0.21/0.73	EOF
