0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
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-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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n050.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:27:38 CST 2018
0.00/0.22	% done 32 iterations in 0.022s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(cTHM623_pme, conjecture,
0.00/0.22	  (((![Xn]: (cN(Xn) => cN(cS(Xn)))) & cN(c0) & 
0.00/0.22	    (![Xp:($i > $o),Xq:($i > $o)]:
0.00/0.22	       (((![Xv]: (Xq(Xv) => Xp(cS(Xv)))) & (![Xu]: (Xp(Xu) => Xq(cS(Xu)))) & 
0.00/0.22	         Xp(c0)) =>
0.00/0.22	        ((![Xx]: (cODD(Xx) => Xq(Xx))) & (![Xx]: (cEVEN(Xx) => Xp(Xx))))))) =>
0.00/0.22	   (![Xm]: ((cODD(Xm) | cEVEN(Xm)) => cN(Xm))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (((![Xn]: (cN(Xn) => cN(cS(Xn)))) & cN(c0) & 
0.00/0.22	      (![Xp:($i > $o),Xq:($i > $o)]:
0.00/0.22	         (((![Xv]: (Xq(Xv) => Xp(cS(Xv)))) & 
0.00/0.22	           (![Xu]: (Xp(Xu) => Xq(cS(Xu)))) & Xp(c0)) =>
0.00/0.22	          ((![Xx]: (cODD(Xx) => Xq(Xx))) & (![Xx]: (cEVEN(Xx) => Xp(Xx))))))) =>
0.00/0.22	     (![Xm]: ((cODD(Xm) | cEVEN(Xm)) => cN(Xm)))))).
0.00/0.22	tff('0', plain, ![X0]: (cN(cS(X0)) | ~ cN(X0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain, (cODD(sk_Xm) | cEVEN(sk_Xm)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | X2(sk_Xv(X2, X1))
0.00/0.22	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.22	       | X2(X3)
0.00/0.22	       | ~ cODD(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, X1)))
0.00/0.22	       | X0(sk_Xv(X0, X1))
0.00/0.22	       | ~ X1(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | X0(sk_Xv(X0, X1))
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, X1)))
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cEVEN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['3'])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xu(cN, X0))
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | cN(sk_Xm)
0.00/0.22	       | cN(sk_Xv(cN, X0))
0.00/0.22	       | ~ X0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ X0(c0)
0.00/0.22	       | cN(sk_Xv(cN, X0))
0.00/0.22	       | cN(sk_Xm)
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | ~ cN(sk_Xu(cN, X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain, ~ cN(sk_Xm), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ cN(sk_Xu(cN, X0)) | cEVEN(sk_Xm) | cN(sk_Xv(cN, X0)) | ~ X0(c0)),
0.00/0.22	    inference('clc', [status(thm)], ['6', '7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.22	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.22	       | X2(X3)
0.00/0.22	       | ~ cODD(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, X1)))
0.00/0.22	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.22	       | ~ X1(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, X1)))
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cEVEN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.22	       | ~ cN(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '11'])).
0.00/0.22	tff('13', plain, cN(c0), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ X0(cS(sk_Xu(X0, cN)))
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ cN(sk_Xu(cN, cN))
0.00/0.22	     | ~ cN(sk_Xv(cN, cN))
0.00/0.22	     | cEVEN(sk_Xm)
0.00/0.22	     | cN(sk_Xm)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    (cN(sk_Xm) | cEVEN(sk_Xm) | ~ cN(sk_Xv(cN, cN)) | ~ cN(sk_Xu(cN, cN))),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain, (~ cN(sk_Xu(cN, cN)) | ~ cN(sk_Xv(cN, cN)) | cEVEN(sk_Xm)),
0.00/0.22	    inference('clc', [status(thm)], ['17', '7'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.22	      (~ X1(c0) | X2(sk_Xv(X2, X1)) | X1(sk_Xu(X2, X1)) | X2(X3) | ~ cODD(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | X1(sk_Xu(X0, X1))
0.00/0.22	       | X0(sk_Xv(X0, X1))
0.00/0.22	       | ~ X1(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | X0(sk_Xv(X0, X1))
0.00/0.22	       | X1(sk_Xu(X0, X1))
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cEVEN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X3]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.22	       | X1(sk_Xu(X2, X1))
0.00/0.22	       | X2(X3)
0.00/0.22	       | ~ cODD(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | X1(sk_Xu(X0, X1))
0.00/0.22	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.22	       | ~ X1(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | ~ X1(cS(sk_Xv(X0, X1)))
0.00/0.22	       | X1(sk_Xu(X0, X1))
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cEVEN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cN(sk_Xu(X0, cN))
0.00/0.22	       | ~ cN(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '24'])).
0.00/0.22	tff('26', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cEVEN(sk_Xm)
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cN(sk_Xu(X0, cN))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['25', '13'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (cN(sk_Xu(X0, cN)) | X0(sk_Xm) | cEVEN(sk_Xm) | ~ cN(sk_Xv(X0, cN))),
0.00/0.22	    inference('simplify', [status(thm)], ['26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | cEVEN(sk_Xm)
0.00/0.22	     | cN(sk_Xm)
0.00/0.22	     | cN(sk_Xu(cN, cN))
0.00/0.22	     | ~ cN(c0)
0.00/0.22	     | cEVEN(sk_Xm)
0.00/0.22	     | cN(sk_Xm)
0.00/0.22	     | cN(sk_Xu(cN, cN))),
0.00/0.22	    inference('sup-', [status(thm)], ['21', '27'])).
0.00/0.22	tff('29', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | cEVEN(sk_Xm)
0.00/0.22	     | cN(sk_Xm)
0.00/0.22	     | cN(sk_Xu(cN, cN))
0.00/0.22	     | ~ $true
0.00/0.22	     | cEVEN(sk_Xm)
0.00/0.22	     | cN(sk_Xm)
0.00/0.22	     | cN(sk_Xu(cN, cN))),
0.00/0.22	    inference('demod', [status(thm)], ['28', '13'])).
0.00/0.22	tff('30', plain, (cN(sk_Xu(cN, cN)) | cN(sk_Xm) | cEVEN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['29'])).
0.00/0.22	tff('31', plain, (cEVEN(sk_Xm) | cN(sk_Xu(cN, cN))),
0.00/0.22	    inference('clc', [status(thm)], ['30', '7'])).
0.00/0.22	tff('32', plain, (cEVEN(sk_Xm) | ~ cN(sk_Xv(cN, cN))),
0.00/0.22	    inference('clc', [status(thm)], ['18', '31'])).
0.00/0.22	tff('33', plain,
0.00/0.22	    (~ $true | ~ cN(c0) | cEVEN(sk_Xm) | ~ cN(sk_Xu(cN, cN)) | cEVEN(sk_Xm)),
0.00/0.22	    inference('sup-', [status(thm)], ['8', '32'])).
0.00/0.22	tff('34', plain,
0.00/0.22	    (~ $true | ~ $true | cEVEN(sk_Xm) | ~ cN(sk_Xu(cN, cN)) | cEVEN(sk_Xm)),
0.00/0.22	    inference('demod', [status(thm)], ['33', '13'])).
0.00/0.22	tff('35', plain, (~ cN(sk_Xu(cN, cN)) | cEVEN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['34'])).
0.00/0.22	tff('36', plain, cEVEN(sk_Xm), inference('clc', [status(thm)], ['35', '31'])).
0.00/0.22	tff('37', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | X2(sk_Xv(X2, X1))
0.00/0.22	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.22	       | X1(X4)
0.00/0.22	       | ~ cEVEN(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('38', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | ~ X1(cS(sk_Xu(X1, X0)))
0.00/0.22	       | X1(sk_Xv(X1, X0))
0.00/0.22	       | ~ X0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['36', '37'])).
0.00/0.22	tff('39', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X0(c0) | X1(sk_Xv(X1, X0)) | ~ X1(cS(sk_Xu(X1, X0))) | X0(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['38'])).
0.00/0.22	tff('40', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xu(cN, X0))
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | cN(sk_Xv(cN, X0))
0.00/0.22	       | ~ X0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '39'])).
0.00/0.22	tff('41', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ X0(c0) | cN(sk_Xv(cN, X0)) | X0(sk_Xm) | ~ cN(sk_Xu(cN, X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['40'])).
0.00/0.22	tff('42', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.22	       | ~ X2(cS(sk_Xu(X2, X1)))
0.00/0.22	       | X1(X4)
0.00/0.22	       | ~ cEVEN(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('43', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | ~ X1(cS(sk_Xu(X1, X0)))
0.00/0.22	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.22	       | ~ X0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['36', '42'])).
0.00/0.22	tff('44', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X0(c0)
0.00/0.22	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.22	       | ~ X1(cS(sk_Xu(X1, X0)))
0.00/0.22	       | X0(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['43'])).
0.00/0.22	tff('45', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cN(sk_Xm)
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.22	       | ~ cN(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '44'])).
0.00/0.22	tff('46', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cN(sk_Xm)
0.00/0.22	       | ~ X0(cS(sk_Xu(X0, cN)))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['45', '13'])).
0.00/0.22	tff('47', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ X0(cS(sk_Xu(X0, cN))) | cN(sk_Xm) | ~ cN(sk_Xv(X0, cN))),
0.00/0.22	    inference('simplify', [status(thm)], ['46'])).
0.00/0.22	tff('48', plain,
0.00/0.22	    ![X0 : $i > $o]: (~ cN(sk_Xv(X0, cN)) | ~ X0(cS(sk_Xu(X0, cN)))),
0.00/0.22	    inference('clc', [status(thm)], ['47', '7'])).
0.00/0.22	tff('49', plain, (~ $true | ~ cN(sk_Xu(cN, cN)) | ~ cN(sk_Xv(cN, cN))),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '48'])).
0.00/0.22	tff('50', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | X2(sk_Xv(X2, X1))
0.00/0.22	       | X1(sk_Xu(X2, X1))
0.00/0.22	       | X1(X4)
0.00/0.22	       | ~ cEVEN(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('51', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true | X0(sk_Xm) | X0(sk_Xu(X1, X0)) | X1(sk_Xv(X1, X0)) | ~ X0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['36', '50'])).
0.00/0.22	tff('52', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X0(c0) | X1(sk_Xv(X1, X0)) | X0(sk_Xu(X1, X0)) | X0(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['51'])).
0.00/0.22	tff('53', plain,
0.00/0.22	    ![X1 : $i > $o, X2 : $i > $o, X4]:
0.00/0.22	      (~ X1(c0)
0.00/0.22	       | ~ X1(cS(sk_Xv(X2, X1)))
0.00/0.22	       | X1(sk_Xu(X2, X1))
0.00/0.22	       | X1(X4)
0.00/0.22	       | ~ cEVEN(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('54', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X0(sk_Xm)
0.00/0.22	       | X0(sk_Xu(X1, X0))
0.00/0.22	       | ~ X0(cS(sk_Xv(X1, X0)))
0.00/0.22	       | ~ X0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['36', '53'])).
0.00/0.22	tff('55', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ X0(c0) | ~ X0(cS(sk_Xv(X1, X0))) | X0(sk_Xu(X1, X0)) | X0(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['54'])).
0.00/0.22	tff('56', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cN(sk_Xm)
0.00/0.22	       | cN(sk_Xu(X0, cN))
0.00/0.22	       | ~ cN(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '55'])).
0.00/0.22	tff('57', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cN(sk_Xv(X0, cN))
0.00/0.22	       | cN(sk_Xm)
0.00/0.22	       | cN(sk_Xu(X0, cN))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['56', '13'])).
0.00/0.22	tff('58', plain,
0.00/0.22	    ![X0 : $i > $o]: (cN(sk_Xu(X0, cN)) | cN(sk_Xm) | ~ cN(sk_Xv(X0, cN))),
0.00/0.22	    inference('simplify', [status(thm)], ['57'])).
0.00/0.22	tff('59', plain, ![X0 : $i > $o]: (~ cN(sk_Xv(X0, cN)) | cN(sk_Xu(X0, cN))),
0.00/0.22	    inference('clc', [status(thm)], ['58', '7'])).
0.00/0.22	tff('60', plain,
0.00/0.22	    (~ $true | cN(sk_Xm) | cN(sk_Xu(cN, cN)) | ~ cN(c0) | cN(sk_Xu(cN, cN))),
0.00/0.22	    inference('sup-', [status(thm)], ['52', '59'])).
0.00/0.22	tff('61', plain,
0.00/0.22	    (~ $true | cN(sk_Xm) | cN(sk_Xu(cN, cN)) | ~ $true | cN(sk_Xu(cN, cN))),
0.00/0.22	    inference('demod', [status(thm)], ['60', '13'])).
0.00/0.22	tff('62', plain, (cN(sk_Xu(cN, cN)) | cN(sk_Xm)),
0.00/0.22	    inference('simplify', [status(thm)], ['61'])).
0.00/0.22	tff('63', plain, cN(sk_Xu(cN, cN)),
0.00/0.22	    inference('clc', [status(thm)], ['62', '7'])).
0.00/0.22	tff('64', plain, (~ $true | ~ $true | ~ cN(sk_Xv(cN, cN))),
0.00/0.22	    inference('demod', [status(thm)], ['49', '63'])).
0.00/0.22	tff('65', plain, ~ cN(sk_Xv(cN, cN)),
0.00/0.22	    inference('simplify', [status(thm)], ['64'])).
0.00/0.22	tff('66', plain, (~ $true | ~ cN(sk_Xu(cN, cN)) | cN(sk_Xm) | ~ cN(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['41', '65'])).
0.00/0.22	tff('67', plain, (~ $true | ~ $true | cN(sk_Xm) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['66', '63', '13'])).
0.00/0.22	tff('68', plain, cN(sk_Xm), inference('simplify', [status(thm)], ['67'])).
0.00/0.22	tff('69', plain, ~ $true, inference('sup-', [status(thm)], ['68', '7'])).
0.00/0.22	tff('70', plain, $false, inference('simplify', [status(thm)], ['69'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
