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    : purification_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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n134.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:37:24 CST 2018
0.00/0.22	% done 36 iterations in 0.018s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(cTHM44, conjecture,
0.00/0.22	  ((?[S:($i > $o)]: (![X]: ((cQ(X) | (~S(X))) & (cP(X) | S(X))))) <=>
0.00/0.22	   (![Y]: (cQ(Y) | cP(Y))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    ((?[S:($i > $o)]: (![X]: ((cQ(X) | (~S(X))) & (cP(X) | S(X))))) <=>
0.00/0.22	     (![Y]: (cQ(Y) | cP(Y)))))).
0.00/0.22	tff('0', plain, ![X0, X1]: (cP(X0) | cQ(X0) | cP(X1) | sk_S(X1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain, ![X0, X2]: (cP(X0) | cQ(X0) | cQ(X2) | ~ sk_S(X2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ $true | cP(X0) | cQ(X2) | cP(X2) | cQ(X0) | cQ(X1) | cP(X1)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0, X1, X2]: (cP(X1) | cQ(X1) | cQ(X0) | cP(X2) | cQ(X2) | cP(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0, X1]: (~ $true | cP(X0) | cQ(X1) | cP(X1) | cQ(X0) | cP(X0)),
0.00/0.22	    inference('eq_fact', [status(thm)], ['3'])).
0.00/0.22	tff('5', plain, ![X0, X1]: (cQ(X0) | cP(X1) | cQ(X1) | cP(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['4'])).
0.00/0.22	tff('6', plain, ![X0]: (~ $true | cP(X0) | cQ(X0) | cP(X0)),
0.00/0.22	    inference('eq_fact', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain, ![X0]: (cQ(X0) | cP(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X3 : $i > $o]: (~ cP(sk_Y) | ~ X3(sk_X(X3)) | ~ cQ(sk_X(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X3 : $i > $o, X4 : $i > $o]:
0.00/0.22	      (X4 != X3 | ~ cP(sk_Y) | ~ X3(sk_X(X4)) | ~ cQ(sk_X(X4))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true | cP(sk_X(X0)) | ~ X1(sk_X(X0)) | ~ cP(sk_Y) | X0 != X1),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (X0 != X1 | ~ cP(sk_Y) | ~ X1(sk_X(X0)) | cP(sk_X(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X3 : $i > $o]: (~ cQ(sk_Y) | ~ X3(sk_X(X3)) | ~ cQ(sk_X(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X3 : $i > $o, X4 : $i > $o]:
0.00/0.22	      (X4 != X3 | ~ cQ(sk_Y) | ~ X3(sk_X(X4)) | ~ cQ(sk_X(X4))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (~ $true | cP(sk_X(X0)) | ~ X1(sk_X(X0)) | ~ cQ(sk_Y) | X0 != X1),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (X0 != X1 | ~ cQ(sk_Y) | ~ X1(sk_X(X0)) | cP(sk_X(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true | cP(sk_X(X0)) | cP(sk_X(X0)) | ~ cQ(sk_Y) | X0 != cQ),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '15'])).
0.00/0.22	tff('17', plain, ![X0 : $i > $o]: (X0 != cQ | ~ cQ(sk_Y) | cP(sk_X(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X3 : $i > $o]: (~ cQ(sk_Y) | ~ cP(sk_X(X3)) | X3(sk_X(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X3 : $i > $o, X4 : $i > $o]:
0.00/0.22	      (X4 != X3 | ~ cQ(sk_Y) | ~ cP(sk_X(X3)) | X4(sk_X(X3))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X3 : $i > $o]: (~ cQ(sk_Y) | ~ cP(sk_X(X3)) | ~ cQ(sk_X(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cP(sk_X(X0))
0.00/0.22	       | ~ cQ(sk_Y)
0.00/0.22	       | cQ != X0
0.00/0.22	       | ~ cP(sk_X(X0))
0.00/0.22	       | ~ cQ(sk_Y)),
0.00/0.22	    inference('sup-', [status(thm)], ['19', '20'])).
0.00/0.22	tff('22', plain, ![X0 : $i > $o]: (cQ != X0 | ~ cQ(sk_Y) | ~ cP(sk_X(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['21'])).
0.00/0.22	tff('23', plain, ![X0 : $i > $o]: (~ cQ(sk_Y) | X0 != cQ),
0.00/0.22	    inference('clc', [status(thm)], ['17', '22'])).
0.00/0.22	tff('24', plain, ![X0 : $i > $o]: (~ $true | cP(sk_Y) | X0 != cQ),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '23'])).
0.00/0.22	tff('25', plain, ![X0 : $i > $o]: (X0 != cQ | cP(sk_Y)),
0.00/0.22	    inference('simplify', [status(thm)], ['24'])).
0.00/0.22	tff('26', plain, cP(sk_Y), inference('eq_res', [status(thm)], ['25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.22	      (X0 != X1 | ~ $true | ~ X1(sk_X(X0)) | cP(sk_X(X0))),
0.00/0.22	    inference('demod', [status(thm)], ['11', '26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    ![X0 : $i > $o, X1 : $i > $o]: (cP(sk_X(X0)) | ~ X1(sk_X(X0)) | X0 != X1),
0.00/0.22	    inference('simplify', [status(thm)], ['27'])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X0 : $i > $o]: (~ $true | cP(sk_X(X0)) | X0 != cQ | cP(sk_X(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '28'])).
0.00/0.22	tff('30', plain, ![X0 : $i > $o]: (X0 != cQ | cP(sk_X(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    ![X3 : $i > $o]: (~ cP(sk_Y) | ~ cP(sk_X(X3)) | X3(sk_X(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('32', plain,
0.00/0.22	    ![X3 : $i > $o, X4 : $i > $o]:
0.00/0.22	      (X4 != X3 | ~ cP(sk_Y) | ~ cP(sk_X(X3)) | X4(sk_X(X3))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['31'])).
0.00/0.22	tff('33', plain,
0.00/0.22	    ![X3 : $i > $o]: (~ cP(sk_Y) | ~ cP(sk_X(X3)) | ~ cQ(sk_X(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('34', plain,
0.00/0.22	    ![X0 : $i > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ cP(sk_X(X0))
0.00/0.22	       | ~ cP(sk_Y)
0.00/0.22	       | cQ != X0
0.00/0.22	       | ~ cP(sk_X(X0))
0.00/0.22	       | ~ cP(sk_Y)),
0.00/0.22	    inference('sup-', [status(thm)], ['32', '33'])).
0.00/0.22	tff('35', plain, ![X0 : $i > $o]: (cQ != X0 | ~ cP(sk_Y) | ~ cP(sk_X(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['34'])).
0.00/0.22	tff('36', plain,
0.00/0.22	    ![X0 : $i > $o]: (~ $true | X0 != cQ | ~ cP(sk_Y) | cQ != X0),
0.00/0.22	    inference('sup-', [status(thm)], ['30', '35'])).
0.00/0.22	tff('37', plain, ![X0 : $i > $o]: (~ $true | X0 != cQ | ~ $true | cQ != X0),
0.00/0.22	    inference('demod', [status(thm)], ['36', '26'])).
0.00/0.22	tff('38', plain, ![X0 : $i > $o]: X0 != cQ,
0.00/0.22	    inference('simplify', [status(thm)], ['37'])).
0.00/0.22	tff('39', plain, $false, inference('eq_res', [status(thm)], ['38'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
