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    : purification_ext
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n100.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 15:50:09 CST 2018
0.00/0.24	% done 90 iterations in 0.034s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(cSIXFRIENDS_AGAIN, conjecture,
0.00/0.24	  (![P:(($i * $i) > $o)]:
0.00/0.24	     (((((P(e) != P(hh)) & (P(c) = P(cc)) & (P(bb) = P(c)) & (P(b) = P(bb))) =>
0.00/0.24	        (P(d) = P(ee))) & 
0.00/0.24	       (((P(c) = P(dd)) & (P(h) = P(hh)) & (P(e) = P(ee))) => (P(a) != P(bb))) & 
0.00/0.24	       (((P(b) != P(cc)) & (P(d) = P(dd)) & (P(a) = P(aa))) => (P(e) = P(hh))) & 
0.00/0.24	       (((P(a) != P(bb)) & (P(d) = P(dd)) & (P(cc) = P(d)) & (P(c) = P(cc))) =>
0.00/0.24	        (P(e) != P(hh))) & 
0.00/0.24	       (((P(b) = P(cc)) & (P(h) = P(hh)) & (P(a) = P(aa))) => (P(d) != P(ee))) & 
0.00/0.24	       (((P(e) = P(hh)) & (P(b) = P(bb)) & (P(a) = P(aa))) => (P(c) = P(dd)))) =>
0.00/0.24	      ((P(h) != P(hh)) | (P(e) != P(ee)) | (P(d) != P(dd)) | 
0.00/0.24	       (P(c) != P(cc)) | (P(b) != P(bb)) | (P(a) != P(aa)))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![P:(($i * $i) > $o)]:
0.00/0.24	       (((((P(e) != P(hh)) & (P(c) = P(cc)) & (P(bb) = P(c)) & (P(b) = P(bb))) =>
0.00/0.24	          (P(d) = P(ee))) & 
0.00/0.24	         (((P(c) = P(dd)) & (P(h) = P(hh)) & (P(e) = P(ee))) =>
0.00/0.24	          (P(a) != P(bb))) & 
0.00/0.24	         (((P(b) != P(cc)) & (P(d) = P(dd)) & (P(a) = P(aa))) =>
0.00/0.24	          (P(e) = P(hh))) & 
0.00/0.24	         (((P(a) != P(bb)) & (P(d) = P(dd)) & (P(cc) = P(d)) & (P(c) = P(cc))) =>
0.00/0.24	          (P(e) != P(hh))) & 
0.00/0.24	         (((P(b) = P(cc)) & (P(h) = P(hh)) & (P(a) = P(aa))) =>
0.00/0.24	          (P(d) != P(ee))) & 
0.00/0.24	         (((P(e) = P(hh)) & (P(b) = P(bb)) & (P(a) = P(aa))) =>
0.00/0.24	          (P(c) = P(dd)))) =>
0.00/0.24	        ((P(h) != P(hh)) | (P(e) != P(ee)) | (P(d) != P(dd)) | 
0.00/0.24	         (P(c) != P(cc)) | (P(b) != P(bb)) | (P(a) != P(aa))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    (sk_P(a) != sk_P(bb)
0.00/0.24	     | sk_P(e) != sk_P(ee)
0.00/0.24	     | sk_P(h) != sk_P(hh)
0.00/0.24	     | sk_P(c) != sk_P(dd)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain, sk_P(e) = sk_P(ee),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain, sk_P(h) = sk_P(hh),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('3', plain, sk_P(d) = sk_P(dd),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('4', plain,
0.00/0.24	    (sk_P(a) != sk_P(bb)
0.00/0.24	     | sk_P(e) != sk_P(e)
0.00/0.24	     | sk_P(hh) != sk_P(hh)
0.00/0.24	     | sk_P(c) != sk_P(d)),
0.00/0.24	    inference('demod', [status(thm)], ['0', '1', '2', '3'])).
0.00/0.24	tff('5', plain, (sk_P(c) != sk_P(d) | sk_P(a) != sk_P(bb)),
0.00/0.24	    inference('simplify', [status(thm)], ['4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    (sk_P(c, '#k2') != sk_P(d, '#k2') | sk_P(a, '#k3') != sk_P(bb, '#k3')),
0.00/0.24	    inference('rw_lit', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain, sk_P(b) = sk_P(bb),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(a) != sk_P(aa)
0.00/0.24	     | sk_P(d) != sk_P(dd)
0.00/0.24	     | sk_P(b) = sk_P(cc)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('9', plain, sk_P(a) = sk_P(aa),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('10', plain, sk_P(c) = sk_P(cc),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('11', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(a) != sk_P(a)
0.00/0.24	     | sk_P(d) != sk_P(d)
0.00/0.24	     | sk_P(bb) = sk_P(c)),
0.00/0.24	    inference('demod', [status(thm)], ['8', '9', '3', '7', '10'])).
0.00/0.24	tff('12', plain, (sk_P(bb) = sk_P(c) | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('simplify', [status(thm)], ['11'])).
0.00/0.24	tff('13', plain, ![X1]: (sk_P(e, X1) = sk_P(hh, X1) | sk_P(bb) = sk_P(c)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    (sk_P(e) != sk_P(hh)
0.00/0.24	     | sk_P(c) != sk_P(cc)
0.00/0.24	     | sk_P(cc) != sk_P(d)
0.00/0.24	     | sk_P(d) != sk_P(dd)
0.00/0.24	     | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('15', plain,
0.00/0.24	    (sk_P(e) != sk_P(hh)
0.00/0.24	     | sk_P(c) != sk_P(c)
0.00/0.24	     | sk_P(c) != sk_P(d)
0.00/0.24	     | sk_P(d) != sk_P(d)
0.00/0.24	     | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('demod', [status(thm)], ['14', '10', '10', '3'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    (sk_P(a) = sk_P(bb) | sk_P(c) != sk_P(d) | sk_P(e) != sk_P(hh)),
0.00/0.24	    inference('simplify', [status(thm)], ['15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    (sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(c, '#k2') != sk_P(d, '#k2')
0.00/0.24	     | sk_P(e, '#k5') != sk_P(hh, '#k5')),
0.00/0.24	    inference('rw_lit', [status(thm)], ['16'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    (sk_P(hh, '#k5') != sk_P(hh, '#k5')
0.00/0.24	     | sk_P(bb) = sk_P(c)
0.00/0.24	     | sk_P(c, '#k2') != sk_P(d, '#k2')
0.00/0.24	     | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    (sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(c, '#k2') != sk_P(d, '#k2')
0.00/0.24	     | sk_P(bb) = sk_P(c)),
0.00/0.24	    inference('simplify', [status(thm)], ['18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    (sk_P(c) = sk_P(dd)
0.00/0.24	     | sk_P(a) != sk_P(aa)
0.00/0.24	     | sk_P(b) != sk_P(bb)
0.00/0.24	     | sk_P(e) != sk_P(hh)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('21', plain,
0.00/0.24	    (sk_P(c) = sk_P(d)
0.00/0.24	     | sk_P(a) != sk_P(a)
0.00/0.24	     | sk_P(bb) != sk_P(bb)
0.00/0.24	     | sk_P(e) != sk_P(hh)),
0.00/0.24	    inference('demod', [status(thm)], ['20', '3', '9', '7'])).
0.00/0.24	tff('22', plain, (sk_P(e) != sk_P(hh) | sk_P(c) = sk_P(d)),
0.00/0.24	    inference('simplify', [status(thm)], ['21'])).
0.00/0.24	tff('23', plain, (sk_P(e, '#k5') != sk_P(hh, '#k5') | sk_P(c) = sk_P(d)),
0.00/0.24	    inference('rw_lit', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    (sk_P(hh, '#k5') != sk_P(hh, '#k5')
0.00/0.24	     | sk_P(bb) = sk_P(c)
0.00/0.24	     | sk_P(c) = sk_P(d)),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '23'])).
0.00/0.24	tff('25', plain, (sk_P(c) = sk_P(d) | sk_P(bb) = sk_P(c)),
0.00/0.24	    inference('simplify', [status(thm)], ['24'])).
0.00/0.24	tff('26', plain, ![X1]: (sk_P(c, X1) = sk_P(d, X1) | sk_P(bb) = sk_P(c)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['25'])).
0.00/0.24	tff('27', plain, (sk_P(bb) = sk_P(c) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('clc', [status(thm)], ['19', '26'])).
0.00/0.24	tff('28', plain, ![X1]: (sk_P(bb, X1) = sk_P(c, X1) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    (sk_P(d) = sk_P(ee)
0.00/0.24	     | sk_P(b) != sk_P(bb)
0.00/0.24	     | sk_P(bb) != sk_P(c)
0.00/0.24	     | sk_P(c) != sk_P(cc)
0.00/0.24	     | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('30', plain,
0.00/0.24	    (sk_P(d) = sk_P(ee)
0.00/0.24	     | sk_P(bb) != sk_P(bb)
0.00/0.24	     | sk_P(bb) != sk_P(c)
0.00/0.24	     | sk_P(c) != sk_P(c)
0.00/0.24	     | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('demod', [status(thm)], ['29', '7', '10'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh) | sk_P(bb) != sk_P(c) | sk_P(d) = sk_P(ee)),
0.00/0.24	    inference('simplify', [status(thm)], ['30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(bb, '#k1') != sk_P(c, '#k1')
0.00/0.24	     | sk_P(d) = sk_P(ee)),
0.00/0.24	    inference('rw_lit', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(bb, '#k1') != sk_P(c, '#k1')
0.00/0.24	     | sk_P(d) = sk_P(e)),
0.00/0.24	    inference('demod', [status(thm)], ['32', '1'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    (sk_P(bb, '#k1') != sk_P(bb, '#k1')
0.00/0.24	     | sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(d) = sk_P(e)
0.00/0.24	     | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('sup-', [status(thm)], ['28', '33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh) | sk_P(d) = sk_P(e) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X1]:
0.00/0.24	      (sk_P(d, X1) = sk_P(e, X1) | sk_P(a) = sk_P(bb) | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['35'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    (sk_P(d) != sk_P(ee)
0.00/0.24	     | sk_P(a) != sk_P(aa)
0.00/0.24	     | sk_P(h) != sk_P(hh)
0.00/0.24	     | sk_P(b) != sk_P(cc)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('38', plain,
0.00/0.24	    (sk_P(d) != sk_P(e)
0.00/0.24	     | sk_P(a) != sk_P(a)
0.00/0.24	     | sk_P(hh) != sk_P(hh)
0.00/0.24	     | sk_P(bb) != sk_P(c)),
0.00/0.24	    inference('demod', [status(thm)], ['37', '1', '9', '2', '7', '10'])).
0.00/0.24	tff('39', plain, (sk_P(bb) != sk_P(c) | sk_P(d) != sk_P(e)),
0.00/0.24	    inference('simplify', [status(thm)], ['38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    (sk_P(bb, '#k1') != sk_P(c, '#k1') | sk_P(d, '#k4') != sk_P(e, '#k4')),
0.00/0.24	    inference('rw_lit', [status(thm)], ['39'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    (sk_P(d, '#k4') != sk_P(d, '#k4')
0.00/0.24	     | sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(bb, '#k1') != sk_P(c, '#k1')),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '40'])).
0.00/0.24	tff('42', plain,
0.00/0.24	    (sk_P(bb, '#k1') != sk_P(c, '#k1')
0.00/0.24	     | sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('simplify', [status(thm)], ['41'])).
0.00/0.24	tff('43', plain, (sk_P(e) = sk_P(hh) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('clc', [status(thm)], ['42', '28'])).
0.00/0.24	tff('44', plain, ![X1]: (sk_P(e, X1) = sk_P(hh, X1) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['43'])).
0.00/0.24	tff('45', plain,
0.00/0.24	    (sk_P(hh, '#k5') != sk_P(hh, '#k5')
0.00/0.24	     | sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(c) = sk_P(d)),
0.00/0.24	    inference('sup-', [status(thm)], ['44', '23'])).
0.00/0.24	tff('46', plain, (sk_P(c) = sk_P(d) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('simplify', [status(thm)], ['45'])).
0.00/0.24	tff('47', plain, ![X1]: (sk_P(c, X1) = sk_P(d, X1) | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['46'])).
0.00/0.24	tff('48', plain,
0.00/0.24	    (sk_P(hh, '#k5') != sk_P(hh, '#k5')
0.00/0.24	     | sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(c, '#k2') != sk_P(d, '#k2')
0.00/0.24	     | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('sup-', [status(thm)], ['44', '17'])).
0.00/0.24	tff('49', plain, (sk_P(c, '#k2') != sk_P(d, '#k2') | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('simplify', [status(thm)], ['48'])).
0.00/0.24	tff('50', plain,
0.00/0.24	    (sk_P(c, '#k2') != sk_P(c, '#k2')
0.00/0.24	     | sk_P(a) = sk_P(bb)
0.00/0.24	     | sk_P(a) = sk_P(bb)),
0.00/0.24	    inference('sup-', [status(thm)], ['47', '49'])).
0.00/0.24	tff('51', plain, sk_P(a) = sk_P(bb),
0.00/0.24	    inference('simplify', [status(thm)], ['50'])).
0.00/0.24	tff('52', plain, sk_P(b) = sk_P(a),
0.00/0.24	    inference('demod', [status(thm)], ['7', '51'])).
0.00/0.24	tff('53', plain, ![X1]: sk_P(b, X1) = sk_P(a, X1),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['52'])).
0.00/0.24	tff('54', plain, ![X1]: sk_P(b, X1) = sk_P(bb, X1),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['7'])).
0.00/0.24	tff('55', plain, ![X0]: sk_P(a, X0) = sk_P(bb, X0),
0.00/0.24	    inference('sup+', [status(thm)], ['53', '54'])).
0.00/0.24	tff('56', plain,
0.00/0.24	    (sk_P(c, '#k2') != sk_P(d, '#k2') | sk_P(a, '#k3') != sk_P(a, '#k3')),
0.00/0.24	    inference('demod', [status(thm)], ['6', '55'])).
0.00/0.24	tff('57', plain, sk_P(c, '#k2') != sk_P(d, '#k2'),
0.00/0.24	    inference('simplify', [status(thm)], ['56'])).
0.00/0.24	tff('58', plain,
0.00/0.24	    (sk_P(c, '#k2') != sk_P(c, '#k2')
0.00/0.24	     | sk_P(bb) = sk_P(c)
0.00/0.24	     | sk_P(a, '#k3') != sk_P(bb, '#k3')),
0.00/0.24	    inference('sup-', [status(thm)], ['26', '6'])).
0.00/0.24	tff('59', plain, (sk_P(a, '#k3') != sk_P(bb, '#k3') | sk_P(bb) = sk_P(c)),
0.00/0.24	    inference('simplify', [status(thm)], ['58'])).
0.00/0.24	tff('60', plain, (sk_P(a, '#k3') != sk_P(bb, '#k3') | sk_P(a) = sk_P(c)),
0.00/0.24	    inference('demod', [status(thm)], ['59', '51'])).
0.00/0.24	tff('61', plain, (sk_P(a, '#k3') != sk_P(a, '#k3') | sk_P(a) = sk_P(c)),
0.00/0.24	    inference('demod', [status(thm)], ['60', '55'])).
0.00/0.24	tff('62', plain, sk_P(a) = sk_P(c),
0.00/0.24	    inference('simplify', [status(thm)], ['61'])).
0.00/0.24	tff('63', plain, ![X1]: sk_P(a, X1) = sk_P(c, X1),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['62'])).
0.00/0.24	tff('64', plain, sk_P(a, '#k2') != sk_P(d, '#k2'),
0.00/0.24	    inference('demod', [status(thm)], ['57', '63'])).
0.00/0.24	tff('65', plain, (sk_P(e, '#k5') != sk_P(hh, '#k5') | sk_P(a) = sk_P(d)),
0.00/0.24	    inference('demod', [status(thm)], ['23', '62'])).
0.00/0.24	tff('66', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(a, '#k1') != sk_P(c, '#k1')
0.00/0.24	     | sk_P(d) = sk_P(e)),
0.00/0.24	    inference('demod', [status(thm)], ['33', '55'])).
0.00/0.24	tff('67', plain,
0.00/0.24	    (sk_P(e) = sk_P(hh)
0.00/0.24	     | sk_P(a, '#k1') != sk_P(a, '#k1')
0.00/0.24	     | sk_P(d) = sk_P(e)),
0.00/0.24	    inference('demod', [status(thm)], ['66', '63'])).
0.00/0.24	tff('68', plain, (sk_P(d) = sk_P(e) | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('simplify', [status(thm)], ['67'])).
0.00/0.24	tff('69', plain, ![X1]: (sk_P(d, X1) = sk_P(e, X1) | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['68'])).
0.00/0.24	tff('70', plain,
0.00/0.24	    (sk_P(a, '#k1') != sk_P(c, '#k1') | sk_P(d, '#k4') != sk_P(e, '#k4')),
0.00/0.24	    inference('demod', [status(thm)], ['40', '55'])).
0.00/0.24	tff('71', plain,
0.00/0.24	    (sk_P(a, '#k1') != sk_P(a, '#k1') | sk_P(d, '#k4') != sk_P(e, '#k4')),
0.00/0.24	    inference('demod', [status(thm)], ['70', '63'])).
0.00/0.24	tff('72', plain, sk_P(d, '#k4') != sk_P(e, '#k4'),
0.00/0.24	    inference('simplify', [status(thm)], ['71'])).
0.00/0.24	tff('73', plain, (sk_P(d, '#k4') != sk_P(d, '#k4') | sk_P(e) = sk_P(hh)),
0.00/0.24	    inference('sup-', [status(thm)], ['69', '72'])).
0.00/0.24	tff('74', plain, sk_P(e) = sk_P(hh),
0.00/0.24	    inference('simplify', [status(thm)], ['73'])).
0.00/0.24	tff('75', plain, ![X1]: sk_P(e, X1) = sk_P(hh, X1),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['74'])).
0.00/0.24	tff('76', plain, (sk_P(hh, '#k5') != sk_P(hh, '#k5') | sk_P(a) = sk_P(d)),
0.00/0.24	    inference('demod', [status(thm)], ['65', '75'])).
0.00/0.24	tff('77', plain, sk_P(a) = sk_P(d),
0.00/0.24	    inference('simplify', [status(thm)], ['76'])).
0.00/0.24	tff('78', plain, ![X1]: sk_P(a, X1) = sk_P(d, X1),
0.00/0.24	    inference('ho_complete_eq', [status(thm)], ['77'])).
0.00/0.24	tff('79', plain, sk_P(a, '#k2') != sk_P(a, '#k2'),
0.00/0.24	    inference('demod', [status(thm)], ['64', '78'])).
0.00/0.24	tff('80', plain, $false, inference('simplify', [status(thm)], ['79'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
