0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n150.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:27:53 CST 2018
0.00/0.50	% done 187 iterations in 0.296s
0.00/0.50	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.50	% SZS output start Refutation
0.00/0.50	tff(cTHM623_pme, conjecture,
0.00/0.50	  (((![Xn]: (cN(Xn) => cN(cS(Xn)))) & cN(c0) & 
0.00/0.50	    (![Xp:($i > $o),Xq:($i > $o)]:
0.00/0.50	       (((![Xv]: (Xq(Xv) => Xp(cS(Xv)))) & (![Xu]: (Xp(Xu) => Xq(cS(Xu)))) & 
0.00/0.50	         Xp(c0)) =>
0.00/0.50	        ((![Xx]: (cODD(Xx) => Xq(Xx))) & (![Xx]: (cEVEN(Xx) => Xp(Xx))))))) =>
0.00/0.50	   (![Xm]: ((cODD(Xm) | cEVEN(Xm)) => cN(Xm))))).
0.00/0.50	tff(zf_stmt_0, negated_conjecture,
0.00/0.50	  (~
0.00/0.50	    (((![Xn]: (cN(Xn) => cN(cS(Xn)))) & cN(c0) & 
0.00/0.50	      (![Xp:($i > $o),Xq:($i > $o)]:
0.00/0.50	         (((![Xv]: (Xq(Xv) => Xp(cS(Xv)))) & 
0.00/0.50	           (![Xu]: (Xp(Xu) => Xq(cS(Xu)))) & Xp(c0)) =>
0.00/0.50	          ((![Xx]: (cODD(Xx) => Xq(Xx))) & (![Xx]: (cEVEN(Xx) => Xp(Xx))))))) =>
0.00/0.50	     (![Xm]: ((cODD(Xm) | cEVEN(Xm)) => cN(Xm)))))).
0.00/0.50	tff('0', plain, (cODD(sk_Xm) | cEVEN(sk_Xm)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('1', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.50	      (~ X1(c0) | X2(sk_Xv(X2, X1)) | X1(sk_Xu(X2, X1)) | X2(X3) | ~ cODD(X3)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('2', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | X0(sk_Xv(X0, X1))
0.00/0.50	       | ~ X1(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.50	tff('3', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | X0(sk_Xv(X0, X1))
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cEVEN(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['2'])).
0.00/0.50	tff('4', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | X2(sk_Xv(X2, X1))
0.00/0.50	       | X1(sk_Xu(X2, X1))
0.00/0.50	       | X1(X4)
0.00/0.50	       | ~ cEVEN(X4)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('5', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | X2(sk_Xm)
0.00/0.50	       | X3(sk_Xu(X2, X3))
0.00/0.50	       | X2(sk_Xv(X2, X3))
0.00/0.50	       | ~ X3(c0)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | X0(sk_Xu(X1, X0))
0.00/0.50	       | X1(sk_Xv(X1, X0))
0.00/0.50	       | ~ X0(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.50	tff('6', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.50	      (~ X0(c0)
0.00/0.50	       | X1(sk_Xv(X1, X0))
0.00/0.50	       | X0(sk_Xu(X1, X0))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ X3(c0)
0.00/0.50	       | X2(sk_Xv(X2, X3))
0.00/0.50	       | X3(sk_Xu(X2, X3))
0.00/0.50	       | X2(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['5'])).
0.00/0.50	tff('7', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | X0(sk_Xv(X0, X1))
0.00/0.50	       | ~ X1(c0)
0.00/0.50	       | X1(sk_Xm)
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | ~ X1(c0)),
0.00/0.50	    inference('eq_fact', [status(thm)], ['6'])).
0.00/0.50	tff('8', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (X1(sk_Xm)
0.00/0.50	       | ~ X1(c0)
0.00/0.50	       | X0(sk_Xv(X0, X1))
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | X0(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['7'])).
0.00/0.50	tff('9', plain, ~ cN(sk_Xm), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('10', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true | X0(sk_Xm) | cN(sk_Xu(X0, cN)) | X0(sk_Xv(X0, cN)) | ~ cN(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.50	tff('11', plain, cN(c0), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('12', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true | X0(sk_Xm) | cN(sk_Xu(X0, cN)) | X0(sk_Xv(X0, cN)) | ~ $true),
0.00/0.50	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.50	tff('13', plain,
0.00/0.50	    ![X0 : $i > $o]: (X0(sk_Xv(X0, cN)) | cN(sk_Xu(X0, cN)) | X0(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['12'])).
0.00/0.50	tff('14', plain, (~ $true | cN(sk_Xu(cN, cN)) | cN(sk_Xv(cN, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['13', '9'])).
0.00/0.50	tff('15', plain, (cN(sk_Xv(cN, cN)) | cN(sk_Xu(cN, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['14'])).
0.00/0.50	tff('16', plain, ![X0]: (cN(cS(X0)) | ~ cN(X0)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('17', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | X2(sk_Xv(X2, X1))
0.00/0.50	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.50	       | X2(X3)
0.00/0.50	       | ~ cODD(X3)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('18', plain,
0.00/0.50	    ![X0, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cODD(X0)
0.00/0.50	       | X1(X0)
0.00/0.50	       | ~ X1(cS(sk_Xu(X1, cN)))
0.00/0.50	       | X1(sk_Xv(X1, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['11', '17'])).
0.00/0.50	tff('19', plain,
0.00/0.50	    ![X0, X1 : $i > $o]:
0.00/0.50	      (X1(sk_Xv(X1, cN)) | ~ X1(cS(sk_Xu(X1, cN))) | X1(X0) | ~ cODD(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['18'])).
0.00/0.50	tff('20', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | X0(sk_Xv(X0, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['0', '19'])).
0.00/0.50	tff('21', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (X0(sk_Xv(X0, cN)) | ~ X0(cS(sk_Xu(X0, cN))) | X0(sk_Xm) | cEVEN(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['20'])).
0.00/0.50	tff('22', plain,
0.00/0.50	    (~ $true | cEVEN(sk_Xm) | ~ cN(cS(sk_Xu(cN, cN))) | cN(sk_Xv(cN, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['21', '9'])).
0.00/0.50	tff('23', plain,
0.00/0.50	    (cN(sk_Xv(cN, cN)) | ~ cN(cS(sk_Xu(cN, cN))) | cEVEN(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['22'])).
0.00/0.50	tff('24', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | X2(sk_Xv(X2, X1))
0.00/0.50	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.50	       | X1(X4)
0.00/0.50	       | ~ cEVEN(X4)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('25', plain,
0.00/0.50	    ![X0, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cEVEN(X0)
0.00/0.50	       | cN(X0)
0.00/0.50	       | ~ X1(cS(sk_Xu(X1, cN)))
0.00/0.50	       | X1(sk_Xv(X1, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['11', '24'])).
0.00/0.50	tff('26', plain,
0.00/0.50	    ![X0, X1 : $i > $o]:
0.00/0.50	      (X1(sk_Xv(X1, cN)) | ~ X1(cS(sk_Xu(X1, cN))) | cN(X0) | ~ cEVEN(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['25'])).
0.00/0.50	tff('27', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true | ~ cEVEN(sk_Xm) | ~ X0(cS(sk_Xu(X0, cN))) | X0(sk_Xv(X0, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['26', '9'])).
0.00/0.50	tff('28', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (X0(sk_Xv(X0, cN)) | ~ X0(cS(sk_Xu(X0, cN))) | ~ cEVEN(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['27'])).
0.00/0.50	tff('29', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	       | cN(sk_Xv(cN, cN))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | X0(sk_Xv(X0, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['23', '28'])).
0.00/0.50	tff('30', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (X0(sk_Xv(X0, cN))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | cN(sk_Xv(cN, cN))
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('simplify', [status(thm)], ['29'])).
0.00/0.50	tff('31', plain,
0.00/0.50	    (~ $true
0.00/0.50	     | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	     | cN(sk_Xv(cN, cN))
0.00/0.50	     | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('eq_fact', [status(thm)], ['30'])).
0.00/0.50	tff('32', plain, (cN(sk_Xv(cN, cN)) | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('simplify', [status(thm)], ['31'])).
0.00/0.50	tff('33', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.50	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.50	       | X2(X3)
0.00/0.50	       | ~ cODD(X3)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('34', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, X1)))
0.00/0.50	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.50	       | ~ X1(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['0', '33'])).
0.00/0.50	tff('35', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, X1)))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cEVEN(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['34'])).
0.00/0.50	tff('36', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | ~ cN(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['16', '35'])).
0.00/0.50	tff('37', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | ~ $true),
0.00/0.50	    inference('demod', [status(thm)], ['36', '11'])).
0.00/0.50	tff('38', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['37'])).
0.00/0.50	tff('39', plain,
0.00/0.50	    (~ $true | ~ cN(sk_Xv(cN, cN)) | cEVEN(sk_Xm) | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('sup-', [status(thm)], ['38', '9'])).
0.00/0.50	tff('40', plain,
0.00/0.50	    (~ cN(cS(sk_Xu(cN, cN))) | cEVEN(sk_Xm) | ~ cN(sk_Xv(cN, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['39'])).
0.00/0.50	tff('41', plain, (cEVEN(sk_Xm) | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('clc', [status(thm)], ['40', '32'])).
0.00/0.50	tff('42', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.50	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.50	       | X1(X4)
0.00/0.50	       | ~ cEVEN(X4)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('43', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ X1(cS(sk_Xu(X1, X0)))
0.00/0.50	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.50	       | ~ X0(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['41', '42'])).
0.00/0.50	tff('44', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X0(c0)
0.00/0.50	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.50	       | ~ X1(cS(sk_Xu(X1, X0)))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('simplify', [status(thm)], ['43'])).
0.00/0.50	tff('45', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | ~ cN(cS(sk_Xv(X0, cN)))
0.00/0.50	       | ~ cN(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['44', '9'])).
0.00/0.50	tff('46', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | ~ cN(cS(sk_Xv(X0, cN)))
0.00/0.50	       | ~ $true),
0.00/0.50	    inference('demod', [status(thm)], ['45', '11'])).
0.00/0.50	tff('47', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ cN(cS(sk_Xv(X0, cN)))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('simplify', [status(thm)], ['46'])).
0.00/0.50	tff('48', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	       | ~ X0(cS(sk_Xu(X0, cN)))),
0.00/0.50	    inference('sup-', [status(thm)], ['16', '47'])).
0.00/0.50	tff('49', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ X0(cS(sk_Xu(X0, cN)))
0.00/0.50	       | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['48'])).
0.00/0.50	tff('50', plain,
0.00/0.50	    (~ $true
0.00/0.50	     | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	     | ~ cN(cS(sk_Xu(cN, cN)))
0.00/0.50	     | ~ cN(cS(sk_Xu(cN, cN)))),
0.00/0.50	    inference('sup-', [status(thm)], ['32', '49'])).
0.00/0.50	tff('51', plain, ~ cN(cS(sk_Xu(cN, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['50'])).
0.00/0.50	tff('52', plain, (~ $true | ~ cN(sk_Xu(cN, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['16', '51'])).
0.00/0.50	tff('53', plain, ~ cN(sk_Xu(cN, cN)),
0.00/0.50	    inference('simplify', [status(thm)], ['52'])).
0.00/0.50	tff('54', plain, cN(sk_Xv(cN, cN)),
0.00/0.50	    inference('clc', [status(thm)], ['15', '53'])).
0.00/0.50	tff('55', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.50	       | X1(sk_Xu(X2, X1))
0.00/0.50	       | X2(X3)
0.00/0.50	       | ~ cODD(X3)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('56', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.50	       | ~ X1(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['0', '55'])).
0.00/0.50	tff('57', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.50	       | X1(sk_Xu(X0, X1))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cEVEN(sk_Xm)),
0.00/0.50	    inference('simplify', [status(thm)], ['56'])).
0.00/0.50	tff('58', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cN(sk_Xu(X0, cN))
0.00/0.50	       | ~ cN(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['16', '57'])).
0.00/0.50	tff('59', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(sk_Xv(X0, cN))
0.00/0.50	       | cEVEN(sk_Xm)
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cN(sk_Xu(X0, cN))
0.00/0.50	       | ~ $true),
0.00/0.50	    inference('demod', [status(thm)], ['58', '11'])).
0.00/0.50	tff('60', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (cN(sk_Xu(X0, cN)) | X0(sk_Xm) | cEVEN(sk_Xm) | ~ cN(sk_Xv(X0, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['59'])).
0.00/0.50	tff('61', plain,
0.00/0.50	    (~ $true | ~ cN(sk_Xv(cN, cN)) | cEVEN(sk_Xm) | cN(sk_Xu(cN, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['60', '9'])).
0.00/0.50	tff('62', plain, (cN(sk_Xu(cN, cN)) | cEVEN(sk_Xm) | ~ cN(sk_Xv(cN, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['61'])).
0.00/0.50	tff('63', plain,
0.00/0.50	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.50	      (~ X1(c0)
0.00/0.50	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.50	       | X1(sk_Xu(X2, X1))
0.00/0.50	       | X1(X4)
0.00/0.50	       | ~ cEVEN(X4)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('64', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ cN(sk_Xv(cN, cN))
0.00/0.50	       | cN(sk_Xu(cN, cN))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | X0(sk_Xu(X1, X0))
0.00/0.50	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.50	       | ~ X0(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['62', '63'])).
0.00/0.50	tff('65', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X0(c0)
0.00/0.50	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.50	       | X0(sk_Xu(X1, X0))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cN(sk_Xu(cN, cN))
0.00/0.50	       | ~ cN(sk_Xv(cN, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['64'])).
0.00/0.50	tff('66', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X0(c0)
0.00/0.50	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.50	       | X0(sk_Xu(X1, X0))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | cN(sk_Xu(cN, cN))
0.00/0.50	       | ~ $true),
0.00/0.50	    inference('demod', [status(thm)], ['65', '54'])).
0.00/0.50	tff('67', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (cN(sk_Xu(cN, cN))
0.00/0.50	       | X0(sk_Xm)
0.00/0.50	       | X0(sk_Xu(X1, X0))
0.00/0.50	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.50	       | ~ X0(c0)),
0.00/0.50	    inference('simplify', [status(thm)], ['66'])).
0.00/0.50	tff('68', plain,
0.00/0.50	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.50	      (~ X0(c0) | ~ X0(cS(sk_Xv(X1, X0))) | X0(sk_Xu(X1, X0)) | X0(sk_Xm)),
0.00/0.50	    inference('clc', [status(thm)], ['67', '53'])).
0.00/0.50	tff('69', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true | cN(sk_Xu(X0, cN)) | ~ cN(cS(sk_Xv(X0, cN))) | ~ cN(c0)),
0.00/0.50	    inference('sup-', [status(thm)], ['68', '9'])).
0.00/0.50	tff('70', plain,
0.00/0.50	    ![X0 : $i > $o]:
0.00/0.50	      (~ $true | cN(sk_Xu(X0, cN)) | ~ cN(cS(sk_Xv(X0, cN))) | ~ $true),
0.00/0.50	    inference('demod', [status(thm)], ['69', '11'])).
0.00/0.50	tff('71', plain,
0.00/0.50	    ![X0 : $i > $o]: (~ cN(cS(sk_Xv(X0, cN))) | cN(sk_Xu(X0, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['70'])).
0.00/0.50	tff('72', plain,
0.00/0.50	    ![X0 : $i > $o]: (~ $true | ~ cN(sk_Xv(X0, cN)) | cN(sk_Xu(X0, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['16', '71'])).
0.00/0.50	tff('73', plain, ![X0 : $i > $o]: (cN(sk_Xu(X0, cN)) | ~ cN(sk_Xv(X0, cN))),
0.00/0.50	    inference('simplify', [status(thm)], ['72'])).
0.00/0.50	tff('74', plain, (~ $true | cN(sk_Xu(cN, cN))),
0.00/0.50	    inference('sup-', [status(thm)], ['54', '73'])).
0.00/0.50	tff('75', plain, cN(sk_Xu(cN, cN)),
0.00/0.50	    inference('simplify', [status(thm)], ['74'])).
0.00/0.50	tff('76', plain, ~ $true, inference('sup-', [status(thm)], ['75', '53'])).
0.00/0.50	tff('77', plain, $false, inference('simplify', [status(thm)], ['76'])).
0.00/0.50	
0.00/0.50	% SZS output end Refutation
0.00/0.50	EOF
