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_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	  --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
0.00/0.20	% Computer   : n112.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 17:51:39 CST 2018
0.00/0.22	% done 22 iterations in 0.014s
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(cTHM204_pme, conjecture,
0.00/0.22	  (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
0.00/0.22	     (((![Xx0:(a > $o)]:
0.00/0.22	          ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
0.00/0.22	           (Xx0(Xy) => Xx0(Xz)))) & 
0.00/0.22	       (![Xx0:(a > $o)]:
0.00/0.22	          ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
0.00/0.22	           (Xx0(Xx) => Xx0(Xy))))) =>
0.00/0.22	      (![Xx0:(a > $o)]:
0.00/0.22	         ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
0.00/0.22	          (Xx0(Xx) => Xx0(Xz))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
0.00/0.22	       (((![Xx0:(a > $o)]:
0.00/0.22	            ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
0.00/0.22	             (Xx0(Xy) => Xx0(Xz)))) & 
0.00/0.22	         (![Xx0:(a > $o)]:
0.00/0.22	            ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
0.00/0.22	             (Xx0(Xx) => Xx0(Xy))))) =>
0.00/0.22	        (![Xx0:(a > $o)]:
0.00/0.22	           ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
0.00/0.22	            (Xx0(Xx) => Xx0(Xz)))))))).
0.00/0.22	tff('0', plain, ![X2 : a > $o]: (~ X2(sk_Xy) | X2(sk_Xz) | X2(sk_Xy01(X2))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X2 : a > $o, X3 : a > $o]:
0.00/0.22	      (X3 != X2 | ~ X2(sk_Xy) | X2(sk_Xz) | X2(sk_Xy01(X3))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.22	tff('2', plain, ![X3 : a > $o]: (~ X3(sk_Xx) | X3(sk_Xy) | X3(sk_Xy0(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X3 : a > $o, X4 : a > $o]:
0.00/0.22	      (X4 != X3 | ~ X3(sk_Xx) | X3(sk_Xy) | X3(sk_Xy0(X4))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.22	tff('4', plain, sk_Xx0(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X3 : a > $o]: (~ X3(sk_Xx) | X3(sk_Xy) | sk_Xr(sk_Xy0(X3), sk_Xz0(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X3 : a > $o, X4 : a > $o]:
0.00/0.22	      (X4 != X3 | ~ X3(sk_Xx) | X3(sk_Xy) | sk_Xr(sk_Xy0(X4), sk_Xz0(X4))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (~ $true | sk_Xr(sk_Xy0(X0), sk_Xz0(X0)) | sk_Xx0(sk_Xy) | X0 != sk_Xx0),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (X0 != sk_Xx0 | sk_Xx0(sk_Xy) | sk_Xr(sk_Xy0(X0), sk_Xz0(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0 : a, X1 : a]: (~ sk_Xx0(X0) | ~ sk_Xr(X0, X1) | sk_Xx0(X1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | sk_Xx0(sk_Xz0(X0))
0.00/0.22	       | ~ sk_Xx0(sk_Xy0(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (~ sk_Xx0(sk_Xy0(X0))
0.00/0.22	       | sk_Xx0(sk_Xz0(X0))
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | sk_Xx0(sk_Xy)),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X3 : a > $o]: (~ X3(sk_Xx) | X3(sk_Xy) | ~ X3(sk_Xz0(X3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X3 : a > $o, X4 : a > $o]:
0.00/0.22	      (X4 != X3 | ~ X3(sk_Xx) | X3(sk_Xy) | ~ X3(sk_Xz0(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 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | ~ sk_Xx0(sk_Xy0(X0))
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | ~ sk_Xx0(sk_Xx)
0.00/0.22	       | X0 != sk_Xx0),
0.00/0.22	    inference('sup-', [status(thm)], ['11', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | ~ sk_Xx0(sk_Xy0(X0))
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | ~ $true
0.00/0.22	       | X0 != sk_Xx0),
0.00/0.22	    inference('demod', [status(thm)], ['14', '4'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0 : a > $o]: (~ sk_Xx0(sk_Xy0(X0)) | X0 != sk_Xx0 | sk_Xx0(sk_Xy)),
0.00/0.22	    inference('simplify', [status(thm)], ['15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | ~ sk_Xx0(sk_Xx)
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | ~ $true
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0),
0.00/0.22	    inference('demod', [status(thm)], ['17', '4'])).
0.00/0.22	tff('19', plain, ![X0 : a > $o]: (X0 != sk_Xx0 | sk_Xx0(sk_Xy)),
0.00/0.22	    inference('simplify', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain, sk_Xx0(sk_Xy), inference('eq_res', [status(thm)], ['19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X2 : a > $o]:
0.00/0.22	      (~ X2(sk_Xy) | X2(sk_Xz) | sk_Xr(sk_Xy01(X2), sk_Xz01(X2))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X2 : a > $o, X3 : a > $o]:
0.00/0.22	      (X3 != X2 | ~ X2(sk_Xy) | X2(sk_Xz) | sk_Xr(sk_Xy01(X3), sk_Xz01(X3))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['21'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ![X0 : a > $o]:
0.00/0.22	      (sk_Xr(sk_Xy01(X0), sk_Xz01(X0)) | X0(sk_Xz) | ~ X0(sk_Xy)),
0.00/0.22	    inference('eq_res', [status(thm)], ['22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.22	      (X2 != X0
0.00/0.22	       | X1 != X0
0.00/0.22	       | sk_Xr(sk_Xy01(X0), sk_Xz01(X0))
0.00/0.22	       | X1(sk_Xz)
0.00/0.22	       | ~ X2(sk_Xy)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X0(sk_Xz)
0.00/0.22	       | sk_Xr(sk_Xy01(X1), sk_Xz01(X1))
0.00/0.22	       | X0 != X1
0.00/0.22	       | sk_Xx0 != X1),
0.00/0.22	    inference('sup-', [status(thm)], ['20', '24'])).
0.00/0.22	tff('26', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (sk_Xx0 != X1 | X0 != X1 | sk_Xr(sk_Xy01(X1), sk_Xz01(X1)) | X0(sk_Xz)),
0.00/0.22	    inference('simplify', [status(thm)], ['25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X1(sk_Xz)
0.00/0.22	       | X1 != X0
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | sk_Xx0(sk_Xz01(X0))
0.00/0.22	       | ~ sk_Xx0(sk_Xy01(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['26', '9'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ sk_Xx0(sk_Xy01(X0))
0.00/0.22	       | sk_Xx0(sk_Xz01(X0))
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | X1 != X0
0.00/0.22	       | X1(sk_Xz)),
0.00/0.22	    inference('simplify', [status(thm)], ['27'])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X2 : a > $o]: (~ X2(sk_Xy) | X2(sk_Xz) | ~ X2(sk_Xz01(X2))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('30', plain,
0.00/0.22	    ![X2 : a > $o, X3 : a > $o]:
0.00/0.22	      (X3 != X2 | ~ X2(sk_Xy) | X2(sk_Xz) | ~ X2(sk_Xz01(X3))),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X1(sk_Xz)
0.00/0.22	       | X1 != X0
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | ~ sk_Xx0(sk_Xy01(X0))
0.00/0.22	       | sk_Xx0(sk_Xz)
0.00/0.22	       | ~ sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0),
0.00/0.22	    inference('sup-', [status(thm)], ['28', '30'])).
0.00/0.22	tff('32', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | X1(sk_Xz)
0.00/0.22	       | X1 != X0
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | ~ sk_Xx0(sk_Xy01(X0))
0.00/0.22	       | sk_Xx0(sk_Xz)
0.00/0.22	       | ~ $true
0.00/0.22	       | X0 != sk_Xx0),
0.00/0.22	    inference('demod', [status(thm)], ['31', '20'])).
0.00/0.22	tff('33', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (sk_Xx0(sk_Xz)
0.00/0.22	       | ~ sk_Xx0(sk_Xy01(X0))
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | X1 != X0
0.00/0.22	       | X1(sk_Xz)),
0.00/0.22	    inference('simplify', [status(thm)], ['32'])).
0.00/0.22	tff('34', plain, ~ sk_Xx0(sk_Xz),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('35', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (X1(sk_Xz) | X1 != X0 | sk_Xx0 != X0 | ~ sk_Xx0(sk_Xy01(X0))),
0.00/0.22	    inference('clc', [status(thm)], ['33', '34'])).
0.00/0.22	tff('36', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xz)
0.00/0.22	       | ~ sk_Xx0(sk_Xy)
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | X1 != X0
0.00/0.22	       | X1(sk_Xz)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '35'])).
0.00/0.22	tff('37', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | sk_Xx0(sk_Xz)
0.00/0.22	       | ~ $true
0.00/0.22	       | X0 != sk_Xx0
0.00/0.22	       | sk_Xx0 != X0
0.00/0.22	       | X1 != X0
0.00/0.22	       | X1(sk_Xz)),
0.00/0.22	    inference('demod', [status(thm)], ['36', '20'])).
0.00/0.22	tff('38', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.22	      (X1(sk_Xz) | X1 != X0 | X0 != sk_Xx0 | sk_Xx0(sk_Xz)),
0.00/0.22	    inference('simplify', [status(thm)], ['37'])).
0.00/0.22	tff('39', plain,
0.00/0.22	    ![X0 : a > $o, X1 : a > $o]: (X0 != sk_Xx0 | X1 != X0 | X1(sk_Xz)),
0.00/0.22	    inference('clc', [status(thm)], ['38', '34'])).
0.00/0.22	tff('40', plain, ![X0 : a > $o]: (~ $true | sk_Xx0 != X0 | X0 != sk_Xx0),
0.00/0.22	    inference('sup-', [status(thm)], ['39', '34'])).
0.00/0.22	tff('41', plain, ![X0 : a > $o]: sk_Xx0 != X0,
0.00/0.22	    inference('simplify', [status(thm)], ['40'])).
0.00/0.22	tff('42', plain, $false, inference('eq_res', [status(thm)], ['41'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
