0.00/0.00	% File    : /export/starexec/sandbox2/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    : 
0.00/0.01	#!/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n135.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:31:09 CST 2018
0.00/0.30	% done 76 iterations in 0.093s
0.00/0.30	% SZS status Theorem for 'stdin'
0.00/0.30	% SZS output start Refutation
0.00/0.30	tff(zf_stmt_8, conjecture,
0.00/0.30	  (((![Xp:app_encode_fun($i,$o),Xq:app_encode_fun($i,$o)]:
0.00/0.30	       ((app_encode_app($i,$o,Xp,c0) & 
0.00/0.30	         (![Xu]:
0.00/0.30	            (app_encode_app($i,$o,Xp,Xu) =>
0.00/0.30	             app_encode_app($i,$o,Xq,app_encode_app($i,$i,cS,Xu)))) & 
0.00/0.30	         (![Xv]:
0.00/0.30	            (app_encode_app($i,$o,Xq,Xv) =>
0.00/0.30	             app_encode_app($i,$o,Xp,app_encode_app($i,$i,cS,Xv))))) =>
0.00/0.30	        ((![Xx]:
0.00/0.30	            (app_encode_app($i,$o,cEVEN,Xx) => app_encode_app($i,$o,Xp,Xx))) & 
0.00/0.30	         (![Xx]:
0.00/0.30	            (app_encode_app($i,$o,cODD,Xx) => app_encode_app($i,$o,Xq,Xx)))))) & 
0.00/0.30	    app_encode_app($i,$o,cN,c0) & 
0.00/0.30	    (![Xn]:
0.00/0.30	       (app_encode_app($i,$o,cN,Xn) =>
0.00/0.30	        app_encode_app($i,$o,cN,app_encode_app($i,$i,cS,Xn))))) =>
0.00/0.30	   (![Xm]:
0.00/0.30	      ((app_encode_app($i,$o,cEVEN,Xm) | app_encode_app($i,$o,cODD,Xm)) =>
0.00/0.30	       app_encode_app($i,$o,cN,Xm))))).
0.00/0.30	tff(zf_stmt_0, negated_conjecture,
0.00/0.30	  (~
0.00/0.30	    (((![Xp:app_encode_fun($i,$o),Xq:app_encode_fun($i,$o)]:
0.00/0.30	         ((app_encode_app($i,$o,Xp,c0) & 
0.00/0.30	           (![Xu]:
0.00/0.30	              (app_encode_app($i,$o,Xp,Xu) =>
0.00/0.30	               app_encode_app($i,$o,Xq,app_encode_app($i,$i,cS,Xu)))) & 
0.00/0.30	           (![Xv]:
0.00/0.30	              (app_encode_app($i,$o,Xq,Xv) =>
0.00/0.30	               app_encode_app($i,$o,Xp,app_encode_app($i,$i,cS,Xv))))) =>
0.00/0.30	          ((![Xx]:
0.00/0.30	              (app_encode_app($i,$o,cEVEN,Xx) => app_encode_app($i,$o,Xp,Xx))) & 
0.00/0.30	           (![Xx]:
0.00/0.30	              (app_encode_app($i,$o,cODD,Xx) => app_encode_app($i,$o,Xq,Xx)))))) & 
0.00/0.30	      app_encode_app($i,$o,cN,c0) & 
0.00/0.30	      (![Xn]:
0.00/0.30	         (app_encode_app($i,$o,cN,Xn) =>
0.00/0.30	          app_encode_app($i,$o,cN,app_encode_app($i,$i,cS,Xn))))) =>
0.00/0.30	     (![Xm]:
0.00/0.30	        ((app_encode_app($i,$o,cEVEN,Xm) | app_encode_app($i,$o,cODD,Xm)) =>
0.00/0.30	         app_encode_app($i,$o,cN,Xm)))))).
0.00/0.30	tff('0', plain,
0.00/0.30	    (app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cODD, sk_Xm)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('1', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.00/0.30	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.00/0.30	       | app_encode_app($i, $o, X5, X7)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X7)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('2', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xv(X0, X1))
0.00/0.30	       | app_encode_app($i, $o, X1, sk_Xu(X0, X1))
0.00/0.30	       | ~ app_encode_app($i, $o, X1, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.30	tff('3', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ app_encode_app($i, $o, X1, c0)
0.00/0.30	       | app_encode_app($i, $o, X1, sk_Xu(X0, X1))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xv(X0, X1))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['2'])).
0.00/0.30	tff('4', plain,
0.00/0.30	    ![X8]:
0.00/0.30	      (app_encode_app($i, $o, cN, app_encode_app($i, $i, cS, X8))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, X8)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('5', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.00/0.30	       | ~ app_encode_app($i, $o, X4, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.00/0.30	       | app_encode_app($i, $o, X5, X7)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X7)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('6', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.30	tff('7', plain, app_encode_app($i, $o, cN, c0),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('8', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['6', '7'])).
0.00/0.30	tff('9', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))),
0.00/0.30	    inference('simplify', [status(thm)], ['8'])).
0.00/0.30	tff('10', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))),
0.00/0.30	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.30	tff('11', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o)]:
0.00/0.30	      (app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['10'])).
0.00/0.30	tff('12', plain,
0.00/0.30	    (~ $true
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	     | ~ app_encode_app($i, $o, cN, c0)
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('sup-', [status(thm)], ['3', '11'])).
0.00/0.30	tff('13', plain,
0.00/0.30	    (~ $true
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	     | ~ $true
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('demod', [status(thm)], ['12', '7'])).
0.00/0.30	tff('14', plain,
0.00/0.30	    (app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['13'])).
0.00/0.30	tff('15', plain, ~ app_encode_app($i, $o, cN, sk_Xm),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('16', plain,
0.00/0.30	    (app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('clc', [status(thm)], ['14', '15'])).
0.00/0.30	tff('17', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, X5, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.00/0.30	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.00/0.30	       | app_encode_app($i, $o, X5, X7)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X7)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('18', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, X0, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '17'])).
0.00/0.30	tff('19', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ app_encode_app($i, $o, X0, c0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))),
0.00/0.30	    inference('simplify', [status(thm)], ['18'])).
0.00/0.30	tff('20', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X7]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, X5, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.00/0.30	       | ~ app_encode_app($i, $o, X4, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.00/0.30	       | app_encode_app($i, $o, X5, X7)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X7)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('21', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, X0, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(cN, X0)))
0.00/0.30	       | ~ app_encode_app($i, $o, X0, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '20'])).
0.00/0.30	tff('22', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ app_encode_app($i, $o, X0, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, X0, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(cN, X0)))
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))),
0.00/0.30	    inference('simplify', [status(thm)], ['21'])).
0.00/0.30	tff('23', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '22'])).
0.00/0.30	tff('24', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['23', '7'])).
0.00/0.30	tff('25', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))),
0.00/0.30	    inference('simplify', [status(thm)], ['24'])).
0.00/0.30	tff('26', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)),
0.00/0.30	    inference('clc', [status(thm)], ['25', '9'])).
0.00/0.30	tff('27', plain,
0.00/0.30	    ![X0, X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)),
0.00/0.30	    inference('sup-', [status(thm)], ['19', '26'])).
0.00/0.30	tff('28', plain,
0.00/0.30	    ![X0, X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ $true
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)),
0.00/0.30	    inference('demod', [status(thm)], ['27', '7'])).
0.00/0.30	tff('29', plain,
0.00/0.30	    ![X0, X1]:
0.00/0.30	      (~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('simplify', [status(thm)], ['28'])).
0.00/0.30	tff('30', plain,
0.00/0.30	    ![X0, X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X1)),
0.00/0.30	    inference('sup-', [status(thm)], ['16', '29'])).
0.00/0.30	tff('31', plain,
0.00/0.30	    ![X0, X1]:
0.00/0.30	      (~ app_encode_app($i, $o, cODD, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['30'])).
0.00/0.30	tff('32', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)),
0.00/0.30	    inference('eq_fact', [status(thm)], ['31'])).
0.00/0.30	tff('33', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.30	       | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['32'])).
0.00/0.30	tff('34', plain,
0.00/0.30	    (~ $true
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)
0.00/0.30	     | ~ app_encode_app($i, $o, cODD, sk_Xm)),
0.00/0.30	    inference('sup-', [status(thm)], ['33', '15'])).
0.00/0.30	tff('35', plain,
0.00/0.30	    (~ app_encode_app($i, $o, cODD, sk_Xm)
0.00/0.30	     | app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['34'])).
0.00/0.30	tff('36', plain, app_encode_app($i, $o, cEVEN, sk_Xm),
0.00/0.30	    inference('clc', [status(thm)], ['35', '0'])).
0.00/0.30	tff('37', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, X5, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.00/0.30	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.00/0.30	       | app_encode_app($i, $o, X4, X6)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('38', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, X0, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '37'])).
0.00/0.30	tff('39', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ app_encode_app($i, $o, X0, c0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))),
0.00/0.30	    inference('simplify', [status(thm)], ['38'])).
0.00/0.30	tff('40', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, X0, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['36', '39'])).
0.00/0.30	tff('41', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ app_encode_app($i, $o, X0, c0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xv(cN, X0))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))),
0.00/0.30	    inference('simplify', [status(thm)], ['40'])).
0.00/0.30	tff('42', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, X5, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xu(X5, X4)))
0.00/0.30	       | ~ app_encode_app($i, $o, X4, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.00/0.30	       | app_encode_app($i, $o, X4, X6)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('43', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, X0, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(cN, X0)))
0.00/0.30	       | ~ app_encode_app($i, $o, X0, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '42'])).
0.00/0.30	tff('44', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ app_encode_app($i, $o, X0, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, X0, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(cN, X0)))
0.00/0.30	       | app_encode_app($i, $o, X0, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, X0))),
0.00/0.30	    inference('simplify', [status(thm)], ['43'])).
0.00/0.30	tff('45', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '44'])).
0.00/0.30	tff('46', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['45', '7'])).
0.00/0.30	tff('47', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))),
0.00/0.30	    inference('simplify', [status(thm)], ['46'])).
0.00/0.30	tff('48', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.00/0.30	       | ~ app_encode_app($i, $o, X4, 
0.00/0.30	             app_encode_app($i, $i, cS, sk_Xv(X5, X4)))
0.00/0.30	       | app_encode_app($i, $o, X4, X6)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('49', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['4', '48'])).
0.00/0.30	tff('50', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['49', '7'])).
0.00/0.30	tff('51', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1]:
0.00/0.30	      (app_encode_app($i, $o, cN, sk_Xu(X0, cN))
0.00/0.30	       | app_encode_app($i, $o, cN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X1)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xv(X0, cN))),
0.00/0.30	    inference('simplify', [status(thm)], ['50'])).
0.00/0.30	tff('52', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ app_encode_app($i, $o, cN, sk_Xv(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)),
0.00/0.30	    inference('clc', [status(thm)], ['47', '51'])).
0.00/0.30	tff('53', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)),
0.00/0.30	    inference('sup-', [status(thm)], ['41', '52'])).
0.00/0.30	tff('54', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	       | ~ $true
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)),
0.00/0.30	    inference('demod', [status(thm)], ['53', '7'])).
0.00/0.30	tff('55', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	       | ~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('simplify', [status(thm)], ['54'])).
0.00/0.30	tff('56', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)),
0.00/0.30	    inference('clc', [status(thm)], ['55', '15'])).
0.00/0.30	tff('57', plain,
0.00/0.30	    ![X4 : app_encode_fun($i, $o), X5 : app_encode_fun($i, $o), X6]:
0.00/0.30	      (~ app_encode_app($i, $o, X4, c0)
0.00/0.30	       | app_encode_app($i, $o, X4, sk_Xu(X5, X4))
0.00/0.30	       | app_encode_app($i, $o, X5, sk_Xv(X5, X4))
0.00/0.30	       | app_encode_app($i, $o, X4, X6)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X6)),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('58', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xu(X1, X0))
0.00/0.30	       | ~ app_encode_app($i, $o, X0, c0)),
0.00/0.30	    inference('sup-', [status(thm)], ['36', '57'])).
0.00/0.30	tff('59', plain,
0.00/0.30	    ![X0 : app_encode_fun($i, $o), X1 : app_encode_fun($i, $o)]:
0.00/0.30	      (~ app_encode_app($i, $o, X0, c0)
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xu(X1, X0))
0.00/0.30	       | app_encode_app($i, $o, X1, sk_Xv(X1, X0))
0.00/0.30	       | app_encode_app($i, $o, X0, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['58'])).
0.00/0.30	tff('60', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cN, c0)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('sup-', [status(thm)], ['59', '51'])).
0.00/0.30	tff('61', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ $true
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xm)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ $true
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))),
0.00/0.30	    inference('demod', [status(thm)], ['60', '7'])).
0.00/0.30	tff('62', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (app_encode_app($i, $o, cN, X0)
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | app_encode_app($i, $o, cN, sk_Xm)),
0.00/0.30	    inference('simplify', [status(thm)], ['61'])).
0.00/0.30	tff('63', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (app_encode_app($i, $o, cN, sk_Xu(cN, cN))
0.00/0.30	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.30	       | app_encode_app($i, $o, cN, X0)),
0.00/0.30	    inference('clc', [status(thm)], ['62', '15'])).
0.00/0.30	tff('64', plain,
0.00/0.30	    ![X0]:
0.00/0.30	      (~ app_encode_app($i, $o, cEVEN, X0) | app_encode_app($i, $o, cN, X0)),
0.00/0.30	    inference('clc', [status(thm)], ['56', '63'])).
0.00/0.30	tff('65', plain, (~ $true | ~ app_encode_app($i, $o, cEVEN, sk_Xm)),
0.00/0.30	    inference('sup-', [status(thm)], ['64', '15'])).
0.00/0.30	tff('66', plain, (~ $true | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['65', '36'])).
0.00/0.30	tff('67', plain, $false, inference('simplify', [status(thm)], ['66'])).
0.00/0.30	
0.00/0.30	% SZS output end Refutation
0.00/0.30	EOF
