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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n153.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:45:53 CST 2018
0.68/0.87	% done 362 iterations in 0.664s
0.68/0.87	% SZS status Theorem for 'stdin'
0.68/0.87	% SZS output start Refutation
0.68/0.87	tff(zf_stmt_8, conjecture,
0.68/0.87	  (((![Xp:app_encode_fun($i,$o),Xq:app_encode_fun($i,$o)]:
0.68/0.87	       ((app_encode_app($i,$o,Xp,c0) & 
0.68/0.87	         (![Xu]:
0.68/0.87	            (app_encode_app($i,$o,Xp,Xu) =>
0.68/0.87	             app_encode_app($i,$o,Xq,app_encode_app($i,$i,cS,Xu)))) & 
0.68/0.87	         (![Xv]:
0.68/0.87	            (app_encode_app($i,$o,Xq,Xv) =>
0.68/0.87	             app_encode_app($i,$o,Xp,app_encode_app($i,$i,cS,Xv))))) =>
0.68/0.87	        ((![Xx]:
0.68/0.87	            (app_encode_app($i,$o,cEVEN,Xx) => app_encode_app($i,$o,Xp,Xx))) & 
0.68/0.87	         (![Xx]:
0.68/0.87	            (app_encode_app($i,$o,cODD,Xx) => app_encode_app($i,$o,Xq,Xx)))))) & 
0.68/0.87	    app_encode_app($i,$o,cN,c0) & 
0.68/0.87	    (![Xn]:
0.68/0.87	       (app_encode_app($i,$o,cN,Xn) =>
0.68/0.87	        app_encode_app($i,$o,cN,app_encode_app($i,$i,cS,Xn))))) =>
0.68/0.87	   (![Xm]:
0.68/0.87	      ((app_encode_app($i,$o,cEVEN,Xm) | app_encode_app($i,$o,cODD,Xm)) =>
0.68/0.87	       app_encode_app($i,$o,cN,Xm))))).
0.68/0.87	tff(zf_stmt_0, negated_conjecture,
0.68/0.87	  (~
0.68/0.87	    (((![Xp:app_encode_fun($i,$o),Xq:app_encode_fun($i,$o)]:
0.68/0.87	         ((app_encode_app($i,$o,Xp,c0) & 
0.68/0.87	           (![Xu]:
0.68/0.87	              (app_encode_app($i,$o,Xp,Xu) =>
0.68/0.87	               app_encode_app($i,$o,Xq,app_encode_app($i,$i,cS,Xu)))) & 
0.68/0.87	           (![Xv]:
0.68/0.87	              (app_encode_app($i,$o,Xq,Xv) =>
0.68/0.87	               app_encode_app($i,$o,Xp,app_encode_app($i,$i,cS,Xv))))) =>
0.68/0.87	          ((![Xx]:
0.68/0.87	              (app_encode_app($i,$o,cEVEN,Xx) => app_encode_app($i,$o,Xp,Xx))) & 
0.68/0.87	           (![Xx]:
0.68/0.87	              (app_encode_app($i,$o,cODD,Xx) => app_encode_app($i,$o,Xq,Xx)))))) & 
0.68/0.87	      app_encode_app($i,$o,cN,c0) & 
0.68/0.87	      (![Xn]:
0.68/0.87	         (app_encode_app($i,$o,cN,Xn) =>
0.68/0.87	          app_encode_app($i,$o,cN,app_encode_app($i,$i,cS,Xn))))) =>
0.68/0.87	     (![Xm]:
0.68/0.87	        ((app_encode_app($i,$o,cEVEN,Xm) | app_encode_app($i,$o,cODD,Xm)) =>
0.68/0.87	         app_encode_app($i,$o,cN,Xm)))))).
0.68/0.87	tff('0', plain,
0.68/0.87	    ![X8]:
0.68/0.87	      (app_encode_app($i, $o, cN, app_encode_app($i, $i, cS, X8))
0.68/0.87	       | ~ app_encode_app($i, $o, cN, X8)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('1', plain,
0.68/0.87	    (app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cODD, sk_Xm)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('2', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X5, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.68/0.87	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.68/0.87	       | app_encode_app($i, $o, X5, X7)
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X7)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('3', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, X1))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, X1)))
0.68/0.87	       | ~ app_encode_app($i, $o, X1, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['1', '2'])).
0.68/0.87	tff('4', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X1, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, X1)))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, X1))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['3'])).
0.68/0.87	tff('5', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X5, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.68/0.87	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.68/0.87	       | app_encode_app($i, $o, X4, X6)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('6', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o), 
0.68/0.87	      X2 : app_encode_fun($i, $o), X3 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, X2, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X2, sk_Xv(X2, X3))
0.68/0.87	       | ~ app_encode_app($i, $o, X2, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X2, X3)))
0.68/0.87	       | ~ app_encode_app($i, $o, X3, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.68/0.87	       | ~ app_encode_app($i, $o, X1, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X1, X0)))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['4', '5'])).
0.68/0.87	tff('7', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o), 
0.68/0.87	      X2 : app_encode_fun($i, $o), X3 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X1, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X1, X0)))
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, X3, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X2, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X2, X3)))
0.68/0.87	       | app_encode_app($i, $o, X2, sk_Xv(X2, X3))
0.68/0.87	       | app_encode_app($i, $o, X2, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['6'])).
0.68/0.87	tff('8', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.68/0.87	       | ~ app_encode_app($i, $o, X1, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X1, X0)))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, X1, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X1, X0)))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)),
0.68/0.87	    inference('eq_fact', [status(thm)], ['7'])).
0.68/0.87	tff('9', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.68/0.87	      (app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X1, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X1, X0)))
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['8'])).
0.68/0.87	tff('10', plain, ~ app_encode_app($i, $o, cN, sk_Xm),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('11', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | ~ app_encode_app($i, $o, cN, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['9', '10'])).
0.68/0.87	tff('12', plain, app_encode_app($i, $o, cN, c0),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('13', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['11', '12'])).
0.68/0.87	tff('14', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['13'])).
0.68/0.87	tff('15', plain,
0.68/0.87	    (~ $true
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.68/0.87	     | ~ app_encode_app($i, $o, cN, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(cN, cN)))),
0.68/0.87	    inference('sup-', [status(thm)], ['14', '10'])).
0.68/0.87	tff('16', plain,
0.68/0.87	    (~ app_encode_app($i, $o, cN, app_encode_app($i, $i, cS, sk_Xu(cN, cN)))
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xv(cN, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['15'])).
0.68/0.87	tff('17', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X5, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.68/0.87	       | ~ app_encode_app($i, $o, X4, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.68/0.87	       | app_encode_app($i, $o, X5, X7)
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X7)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('18', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X1)
0.68/0.87	       | app_encode_app($i, $o, X0, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | ~ app_encode_app($i, $o, cN, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['0', '17'])).
0.68/0.87	tff('19', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X1)
0.68/0.87	       | app_encode_app($i, $o, X0, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['18', '12'])).
0.68/0.87	tff('20', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | app_encode_app($i, $o, X0, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['19'])).
0.68/0.87	tff('21', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))),
0.68/0.87	    inference('sup-', [status(thm)], ['1', '20'])).
0.68/0.87	tff('22', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['21'])).
0.68/0.87	tff('23', plain,
0.68/0.87	    (~ $true
0.68/0.87	     | ~ app_encode_app($i, $o, cN, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(cN, cN)))
0.68/0.87	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xm)
0.68/0.87	     | ~ app_encode_app($i, $o, cN, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(cN, cN)))),
0.68/0.87	    inference('sup-', [status(thm)], ['16', '22'])).
0.68/0.87	tff('24', plain,
0.68/0.87	    (app_encode_app($i, $o, cN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	     | ~ app_encode_app($i, $o, cN, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(cN, cN)))),
0.68/0.87	    inference('simplify', [status(thm)], ['23'])).
0.68/0.87	tff('25', plain,
0.68/0.87	    (~ app_encode_app($i, $o, cN, app_encode_app($i, $i, cS, sk_Xu(cN, cN)))
0.68/0.87	     | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('clc', [status(thm)], ['24', '10'])).
0.68/0.87	tff('26', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | ~ app_encode_app($i, $o, X5, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.68/0.87	       | ~ app_encode_app($i, $o, X4, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.68/0.87	       | app_encode_app($i, $o, X4, X6)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('27', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | ~ app_encode_app($i, $o, cN, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['0', '26'])).
0.68/0.87	tff('28', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['27', '12'])).
0.68/0.87	tff('29', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, 
0.68/0.87	           app_encode_app($i, $i, cS, sk_Xu(X0, cN)))
0.68/0.87	       | app_encode_app($i, $o, cN, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['28'])).
0.68/0.87	tff('30', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(cN, cN)))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.68/0.87	       | app_encode_app($i, $o, cN, X0)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(cN, cN)))),
0.68/0.87	    inference('sup-', [status(thm)], ['16', '29'])).
0.68/0.87	tff('31', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (app_encode_app($i, $o, cN, X0)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xu(cN, cN)))),
0.68/0.87	    inference('simplify', [status(thm)], ['30'])).
0.68/0.87	tff('32', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.68/0.87	       | app_encode_app($i, $o, cN, X0)),
0.68/0.87	    inference('sup-', [status(thm)], ['0', '31'])).
0.68/0.87	tff('33', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.68/0.87	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.68/0.87	       | app_encode_app($i, $o, X5, X7)
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X7)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('34', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, X1))
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xu(X0, X1))
0.68/0.87	       | ~ app_encode_app($i, $o, X1, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['1', '33'])).
0.68/0.87	tff('35', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X1, c0)
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xu(X0, X1))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xv(X0, X1))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['34'])).
0.68/0.87	tff('36', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(cN, X0))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['35', '10'])).
0.68/0.87	tff('37', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(cN, X0))
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['36'])).
0.68/0.87	tff('38', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.68/0.87	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.68/0.87	       | app_encode_app($i, $o, X4, X6)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('39', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o), 
0.68/0.87	      X2 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xv(cN, X2))
0.68/0.87	       | app_encode_app($i, $o, X2, sk_Xu(cN, X2))
0.68/0.87	       | ~ app_encode_app($i, $o, X2, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(X1, X0))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['37', '38'])).
0.68/0.87	tff('40', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o), 
0.68/0.87	      X2 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(X1, X0))
0.68/0.87	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, X2, c0)
0.68/0.87	       | app_encode_app($i, $o, X2, sk_Xu(cN, X2))
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xv(cN, X2))),
0.68/0.87	    inference('simplify', [status(thm)], ['39'])).
0.68/0.87	tff('41', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(cN, X0))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(cN, X0))
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)),
0.68/0.87	    inference('eq_fact', [status(thm)], ['40'])).
0.68/0.87	tff('42', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, X0, c0)
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xu(cN, X0))
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))),
0.68/0.87	    inference('simplify', [status(thm)], ['41'])).
0.68/0.87	tff('43', plain,
0.68/0.87	    (~ $true
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	     | ~ app_encode_app($i, $o, cN, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['42', '10'])).
0.68/0.87	tff('44', plain,
0.68/0.87	    (~ $true
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	     | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['43', '12'])).
0.68/0.87	tff('45', plain,
0.68/0.87	    (app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xv(cN, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['44'])).
0.68/0.87	tff('46', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.68/0.87	       | ~ app_encode_app($i, $o, X4, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.68/0.87	       | app_encode_app($i, $o, X5, X7)
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X7)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('47', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X1)
0.68/0.87	       | app_encode_app($i, $o, X0, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cN, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['0', '46'])).
0.68/0.87	tff('48', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X1)
0.68/0.87	       | app_encode_app($i, $o, X0, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['47', '12'])).
0.68/0.87	tff('49', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, X0, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cODD, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['48'])).
0.68/0.87	tff('50', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))),
0.68/0.87	    inference('sup-', [status(thm)], ['1', '49'])).
0.68/0.87	tff('51', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o)]:
0.68/0.87	      (app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, X0, sk_Xm)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('simplify', [status(thm)], ['50'])).
0.68/0.87	tff('52', plain,
0.68/0.87	    (~ $true
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.68/0.87	    inference('sup-', [status(thm)], ['45', '51'])).
0.68/0.87	tff('53', plain,
0.68/0.87	    (app_encode_app($i, $o, cN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['52'])).
0.68/0.87	tff('54', plain,
0.68/0.87	    (app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	     | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('clc', [status(thm)], ['53', '10'])).
0.68/0.87	tff('55', plain,
0.68/0.87	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.68/0.87	      (~ app_encode_app($i, $o, X4, c0)
0.68/0.87	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.68/0.87	       | ~ app_encode_app($i, $o, X4, 
0.68/0.87	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.68/0.87	       | app_encode_app($i, $o, X4, X6)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.68/0.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.68/0.87	tff('56', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cN, c0)),
0.68/0.87	    inference('sup-', [status(thm)], ['0', '55'])).
0.68/0.87	tff('57', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, X1)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['56', '12'])).
0.68/0.87	tff('58', plain,
0.68/0.87	    ![X0 : app_encode_fun($i, $o), X1]:
0.68/0.87	      (app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.68/0.87	       | app_encode_app($i, $o, cN, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.68/0.87	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['57'])).
0.68/0.87	tff('59', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (~ $true
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.68/0.87	       | app_encode_app($i, $o, cN, X0)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.68/0.87	    inference('sup-', [status(thm)], ['45', '58'])).
0.68/0.87	tff('60', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (app_encode_app($i, $o, cN, X0)
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.68/0.87	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['59'])).
0.68/0.87	tff('61', plain,
0.68/0.87	    (~ $true
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.68/0.87	     | ~ app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('sup-', [status(thm)], ['60', '10'])).
0.68/0.87	tff('62', plain,
0.68/0.87	    (~ app_encode_app($i, $o, cEVEN, sk_Xm)
0.68/0.87	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.68/0.87	    inference('simplify', [status(thm)], ['61'])).
0.68/0.87	tff('63', plain, app_encode_app($i, $o, cN, sk_Xu(cN, cN)),
0.68/0.87	    inference('clc', [status(thm)], ['54', '62'])).
0.68/0.87	tff('64', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (~ $true
0.68/0.87	       | ~ $true
0.68/0.87	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.68/0.87	       | app_encode_app($i, $o, cN, X0)),
0.68/0.87	    inference('demod', [status(thm)], ['32', '63'])).
0.68/0.87	tff('65', plain,
0.68/0.87	    ![X0]:
0.68/0.87	      (app_encode_app($i, $o, cN, X0) | ~ app_encode_app($i, $o, cEVEN, X0)),
0.68/0.87	    inference('simplify', [status(thm)], ['64'])).
0.68/0.87	tff('66', plain, (~ $true | ~ app_encode_app($i, $o, cEVEN, sk_Xm)),
0.68/0.87	    inference('sup-', [status(thm)], ['65', '10'])).
0.68/0.87	tff('67', plain, ~ app_encode_app($i, $o, cEVEN, sk_Xm),
0.68/0.87	    inference('simplify', [status(thm)], ['66'])).
0.68/0.87	tff('68', plain,
0.68/0.87	    ~ app_encode_app($i, $o, cN, app_encode_app($i, $i, cS, sk_Xu(cN, cN))),
0.68/0.87	    inference('clc', [status(thm)], ['25', '67'])).
0.68/0.87	tff('69', plain, (~ $true | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.68/0.87	    inference('sup-', [status(thm)], ['0', '68'])).
0.68/0.87	tff('70', plain, (~ $true | ~ $true),
0.68/0.87	    inference('demod', [status(thm)], ['69', '63'])).
0.68/0.87	tff('71', plain, $false, inference('simplify', [status(thm)], ['70'])).
0.68/0.87	
0.68/0.87	% SZS output end Refutation
0.68/0.87	EOF
