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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n106.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:53:09 CST 2018
0.00/0.26	% done 109 iterations in 0.063s
0.00/0.26	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff(cTHM577_pme, conjecture,
0.00/0.26	  (![Xx,Xy,Xz]:
0.00/0.26	     (((![Xp:($i > $o)]:
0.00/0.26	          (((![Xn]: (Xp(Xn) => Xp(cS(Xn)))) & Xp(Xy)) => Xp(Xz))) & 
0.00/0.26	       (![Xp:($i > $o)]:
0.00/0.26	          (((![Xn]: (Xp(Xn) => Xp(cS(Xn)))) & Xp(Xx)) => Xp(Xy)))) =>
0.00/0.26	      (![Xp:($i > $o)]:
0.00/0.26	         (((![Xn]: (Xp(Xn) => Xp(cS(Xn)))) & Xp(Xx)) => Xp(Xz)))))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![Xx,Xy,Xz]:
0.00/0.26	       (((![Xp:($i > $o)]:
0.00/0.26	            (((![Xn]: (Xp(Xn) => Xp(cS(Xn)))) & Xp(Xy)) => Xp(Xz))) & 
0.00/0.26	         (![Xp:($i > $o)]:
0.00/0.26	            (((![Xn]: (Xp(Xn) => Xp(cS(Xn)))) & Xp(Xx)) => Xp(Xy)))) =>
0.00/0.26	        (![Xp:($i > $o)]:
0.00/0.26	           (((![Xn]: (Xp(Xn) => Xp(cS(Xn)))) & Xp(Xx)) => Xp(Xz))))))).
0.00/0.26	tff('0', plain, sk_Xp(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('1', plain, ![X2 : $i > $o]: (X2(sk_Xy) | ~ X2(sk_Xx) | X2(sk_Xn(X2))),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X2 : $i > $o, X3 : $i > $o, X4 : $i > $o, X5 : $i > $o]:
0.00/0.26	      (X5 != X2
0.00/0.26	       | X4 != X2
0.00/0.26	       | X3 != X2
0.00/0.26	       | X2(sk_Xy)
0.00/0.26	       | ~ X3(sk_Xx)
0.00/0.26	       | X4(sk_Xn(X5))),
0.00/0.26	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | X0(sk_Xn(X1))
0.00/0.26	       | X2(sk_Xy)
0.00/0.26	       | sk_Xp != X2
0.00/0.26	       | X0 != X2
0.00/0.26	       | X1 != X2),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.26	tff('4', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (X1 != X2 | X0 != X2 | sk_Xp != X2 | X2(sk_Xy) | X0(sk_Xn(X1))),
0.00/0.26	    inference('simplify', [status(thm)], ['3'])).
0.00/0.26	tff('5', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.26	      (X3 != X2
0.00/0.26	       | X1 != X2
0.00/0.26	       | X0 != X2
0.00/0.26	       | sk_Xp != X2
0.00/0.26	       | X3(sk_Xy)
0.00/0.26	       | X0(sk_Xn(X1))),
0.00/0.26	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
0.00/0.26	tff('6', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (X0(sk_Xn(X1)) | X2(sk_Xy) | sk_Xp != X1 | X0 != X1 | X2 != X1),
0.00/0.26	    inference('eq_res', [status(thm)], ['5'])).
0.00/0.26	tff('7', plain, ![X0]: (sk_Xp(cS(X0)) | ~ sk_Xp(X0)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('8', plain,
0.00/0.26	    ![X2 : $i > $o]: (X2(sk_Xy) | ~ X2(sk_Xx) | ~ X2(cS(sk_Xn(X2)))),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X2 : $i > $o, X3 : $i > $o, X4 : $i > $o, X5 : $i > $o]:
0.00/0.26	      (X5 != X2
0.00/0.26	       | X4 != X2
0.00/0.26	       | X3 != X2
0.00/0.26	       | X2(sk_Xy)
0.00/0.26	       | ~ X3(sk_Xx)
0.00/0.26	       | ~ X4(cS(sk_Xn(X5)))),
0.00/0.26	    inference('ho.purify_applied_variable', [status(thm)], ['8'])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ X0(cS(sk_Xn(X1)))
0.00/0.26	       | X2(sk_Xy)
0.00/0.26	       | sk_Xp != X2
0.00/0.26	       | X0 != X2
0.00/0.26	       | X1 != X2),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.26	tff('11', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (X1 != X2 | X0 != X2 | sk_Xp != X2 | X2(sk_Xy) | ~ X0(cS(sk_Xn(X1)))),
0.00/0.26	    inference('simplify', [status(thm)], ['10'])).
0.00/0.26	tff('12', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.26	      (X3 != X2
0.00/0.26	       | X1 != X2
0.00/0.26	       | X0 != X2
0.00/0.26	       | sk_Xp != X2
0.00/0.26	       | X3(sk_Xy)
0.00/0.26	       | ~ X0(cS(sk_Xn(X1)))),
0.00/0.26	    inference('ho.purify_applied_variable', [status(thm)], ['11'])).
0.00/0.26	tff('13', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ sk_Xp(sk_Xn(X0))
0.00/0.26	       | X1(sk_Xy)
0.00/0.26	       | sk_Xp != X2
0.00/0.26	       | sk_Xp != X2
0.00/0.26	       | X0 != X2
0.00/0.26	       | X1 != X2),
0.00/0.26	    inference('sup-', [status(thm)], ['7', '12'])).
0.00/0.26	tff('14', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (X1 != X2 | X0 != X2 | sk_Xp != X2 | X1(sk_Xy) | ~ sk_Xp(sk_Xn(X0))),
0.00/0.26	    inference('simplify', [status(thm)], ['13'])).
0.00/0.26	tff('15', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.26	      (~ sk_Xp(sk_Xn(X0)) | X1(sk_Xy) | sk_Xp != X0 | X1 != X0),
0.00/0.26	    inference('eq_res', [status(thm)], ['14'])).
0.00/0.26	tff('16', plain,
0.00/0.26	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | X2 != X0
0.00/0.26	       | sk_Xp != X0
0.00/0.26	       | sk_Xp != X0
0.00/0.26	       | X2(sk_Xy)
0.00/0.26	       | X1 != X0
0.00/0.26	       | sk_Xp != X0
0.00/0.26	       | X1(sk_Xy)),
0.00/0.26	    inference('sup-', [status(thm)], ['6', '15'])).
0.00/0.27	tff('17', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.27	      (X1(sk_Xy) | X1 != X0 | X2(sk_Xy) | sk_Xp != X0 | X2 != X0),
0.00/0.27	    inference('simplify', [status(thm)], ['16'])).
0.00/0.27	tff('18', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.27	      (~ $true | X0 != X1 | sk_Xp != X1 | X0(sk_Xy) | X0 != X1),
0.00/0.27	    inference('eq_fact', [status(thm)], ['17'])).
0.00/0.27	tff('19', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o]: (X0(sk_Xy) | sk_Xp != X1 | X0 != X1),
0.00/0.27	    inference('simplify', [status(thm)], ['18'])).
0.00/0.27	tff('20', plain, ![X1 : $i > $o]: (X1(sk_Xz) | ~ X1(sk_Xy) | X1(sk_Xn1(X1))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('21', plain,
0.00/0.27	    ![X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (X4 != X1
0.00/0.27	       | X3 != X1
0.00/0.27	       | X2 != X1
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | ~ X2(sk_Xy)
0.00/0.27	       | X3(sk_Xn1(X4))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['20'])).
0.00/0.27	tff('22', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != X4
0.00/0.27	       | sk_Xp != X4
0.00/0.27	       | X1(sk_Xn1(X2))
0.00/0.27	       | X3(sk_Xz)
0.00/0.27	       | X0 != X3
0.00/0.27	       | X1 != X3
0.00/0.27	       | X2 != X3),
0.00/0.27	    inference('sup-', [status(thm)], ['19', '21'])).
0.00/0.27	tff('23', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (X2 != X3
0.00/0.27	       | X1 != X3
0.00/0.27	       | X0 != X3
0.00/0.27	       | X3(sk_Xz)
0.00/0.27	       | X1(sk_Xn1(X2))
0.00/0.27	       | sk_Xp != X4
0.00/0.27	       | X0 != X4),
0.00/0.27	    inference('simplify', [status(thm)], ['22'])).
0.00/0.27	tff('24', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (X0 != X1
0.00/0.27	       | sk_Xp != X1
0.00/0.27	       | X2(sk_Xn1(X3))
0.00/0.27	       | X3(sk_Xz)
0.00/0.27	       | X0 != X3
0.00/0.27	       | X2 != X3),
0.00/0.27	    inference('eq_res', [status(thm)], ['23'])).
0.00/0.27	tff('25', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (X4 != X3
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp != X1
0.00/0.27	       | X2(sk_Xn1(X3))
0.00/0.27	       | X4(sk_Xz)
0.00/0.27	       | X0 != X3
0.00/0.27	       | X2 != X3),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
0.00/0.27	tff('26', plain, ~ sk_Xp(sk_Xz), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('27', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != X1
0.00/0.27	       | X2 != X1
0.00/0.27	       | X0(sk_Xn1(X1))
0.00/0.27	       | sk_Xp != X3
0.00/0.27	       | X2 != X3
0.00/0.27	       | sk_Xp != X1),
0.00/0.27	    inference('sup-', [status(thm)], ['25', '26'])).
0.00/0.27	tff('28', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (sk_Xp != X1
0.00/0.27	       | X2 != X3
0.00/0.27	       | sk_Xp != X3
0.00/0.27	       | X0(sk_Xn1(X1))
0.00/0.27	       | X2 != X1
0.00/0.27	       | X0 != X1),
0.00/0.27	    inference('simplify', [status(thm)], ['27'])).
0.00/0.27	tff('29', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.27	      (X0 != X1 | X2 != X1 | X0(sk_Xn1(X1)) | sk_Xp != X2 | sk_Xp != X1),
0.00/0.27	    inference('eq_res', [status(thm)], ['28'])).
0.00/0.27	tff('30', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.27	      (sk_Xp != X0 | sk_Xp != X0 | X1(sk_Xn1(X0)) | X1 != X0),
0.00/0.27	    inference('eq_res', [status(thm)], ['29'])).
0.00/0.27	tff('31', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o]: (X1 != X0 | X1(sk_Xn1(X0)) | sk_Xp != X0),
0.00/0.27	    inference('simplify', [status(thm)], ['30'])).
0.00/0.27	tff('32', plain,
0.00/0.27	    ![X1 : $i > $o]: (X1(sk_Xz) | ~ X1(sk_Xy) | ~ X1(cS(sk_Xn1(X1)))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('33', plain,
0.00/0.27	    ![X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (X4 != X1
0.00/0.27	       | X3 != X1
0.00/0.27	       | X2 != X1
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | ~ X2(sk_Xy)
0.00/0.27	       | ~ X3(cS(sk_Xn1(X4)))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['32'])).
0.00/0.27	tff('34', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != X4
0.00/0.27	       | sk_Xp != X4
0.00/0.27	       | ~ X1(cS(sk_Xn1(X2)))
0.00/0.27	       | X3(sk_Xz)
0.00/0.27	       | X0 != X3
0.00/0.27	       | X1 != X3
0.00/0.27	       | X2 != X3),
0.00/0.27	    inference('sup-', [status(thm)], ['19', '33'])).
0.00/0.27	tff('35', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o, X4 : $i > $o]:
0.00/0.27	      (X2 != X3
0.00/0.27	       | X1 != X3
0.00/0.27	       | X0 != X3
0.00/0.27	       | X3(sk_Xz)
0.00/0.27	       | ~ X1(cS(sk_Xn1(X2)))
0.00/0.27	       | sk_Xp != X4
0.00/0.27	       | X0 != X4),
0.00/0.27	    inference('simplify', [status(thm)], ['34'])).
0.00/0.27	tff('36', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (X0 != X1
0.00/0.27	       | sk_Xp != X1
0.00/0.27	       | ~ X2(cS(sk_Xn1(X3)))
0.00/0.27	       | X0(sk_Xz)
0.00/0.27	       | X2 != X0
0.00/0.27	       | X3 != X0),
0.00/0.27	    inference('eq_res', [status(thm)], ['35'])).
0.00/0.27	tff('37', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ sk_Xp(sk_Xn1(X0))
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp != X1
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | X1 != X2),
0.00/0.27	    inference('sup-', [status(thm)], ['7', '36'])).
0.00/0.27	tff('38', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.27	      (X1 != X2
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | sk_Xp != X1
0.00/0.27	       | X0 != X1
0.00/0.27	       | ~ sk_Xp(sk_Xn1(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['37'])).
0.00/0.27	tff('39', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (X3 != X1
0.00/0.27	       | X1 != X2
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | sk_Xp != X3
0.00/0.27	       | X0 != X1
0.00/0.27	       | ~ sk_Xp(sk_Xn1(X0))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['38'])).
0.00/0.27	tff('40', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | sk_Xp != X0
0.00/0.27	       | sk_Xp != X0
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | sk_Xp != X3
0.00/0.27	       | X1 != X3
0.00/0.27	       | X2 != X1),
0.00/0.27	    inference('sup-', [status(thm)], ['31', '39'])).
0.00/0.27	tff('41', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o, X3 : $i > $o]:
0.00/0.27	      (X2 != X1
0.00/0.27	       | X1 != X3
0.00/0.27	       | sk_Xp != X3
0.00/0.27	       | X1(sk_Xz)
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp != X0),
0.00/0.27	    inference('simplify', [status(thm)], ['40'])).
0.00/0.27	tff('42', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | sk_Xp != X0
0.00/0.27	       | X0 != sk_Xp
0.00/0.27	       | sk_Xp != X1
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | sk_Xp != X2
0.00/0.27	       | X1 != sk_Xp),
0.00/0.27	    inference('sup-', [status(thm)], ['41', '26'])).
0.00/0.27	tff('43', plain,
0.00/0.27	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.27	      (sk_Xp != X2 | sk_Xp != X1 | sk_Xp != X0),
0.00/0.27	    inference('simplify', [status(thm)], ['42'])).
0.00/0.27	tff('44', plain, ![X0 : $i > $o, X1 : $i > $o]: (sk_Xp != X0 | sk_Xp != X1),
0.00/0.27	    inference('condensation', [status(thm)], ['43'])).
0.00/0.27	tff('45', plain, ![X0 : $i > $o]: sk_Xp != X0,
0.00/0.27	    inference('condensation', [status(thm)], ['44'])).
0.00/0.27	tff('46', plain, $false, inference('eq_res', [status(thm)], ['45'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
