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    : 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   : n150.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 17:49:38 CST 2018
0.00/0.22	% done 19 iterations in 0.012s
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(cTHM70_pme, conjecture,
0.00/0.22	  (![S:((a * a) > $o > $o),Xx:a,Xy:a,Xz:a]:
0.00/0.22	     (((![Xp:((a * a) > $o)]:
0.00/0.22	          ((S(Xp) & 
0.00/0.22	            (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.22	               ((Xp(Xy0,Xz0) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz0)))) =>
0.00/0.22	           Xp(Xy,Xz))) & 
0.00/0.22	       (![Xp:((a * a) > $o)]:
0.00/0.22	          ((S(Xp) & 
0.00/0.22	            (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.22	               ((Xp(Xy0,Xz0) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz0)))) =>
0.00/0.22	           Xp(Xx,Xy)))) =>
0.00/0.22	      (![Xp:((a * a) > $o)]:
0.00/0.22	         ((S(Xp) & 
0.00/0.22	           (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.22	              ((Xp(Xy0,Xz0) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz0)))) =>
0.00/0.22	          Xp(Xx,Xz)))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![S:((a * a) > $o > $o),Xx:a,Xy:a,Xz:a]:
0.00/0.22	       (((![Xp:((a * a) > $o)]:
0.00/0.22	            ((S(Xp) & 
0.00/0.22	              (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.22	                 ((Xp(Xy0,Xz0) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz0)))) =>
0.00/0.22	             Xp(Xy,Xz))) & 
0.00/0.22	         (![Xp:((a * a) > $o)]:
0.00/0.22	            ((S(Xp) & 
0.00/0.22	              (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.22	                 ((Xp(Xy0,Xz0) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz0)))) =>
0.00/0.22	             Xp(Xx,Xy)))) =>
0.00/0.22	        (![Xp:((a * a) > $o)]:
0.00/0.22	           ((S(Xp) & 
0.00/0.22	             (![Xx0:a,Xy0:a,Xz0:a]:
0.00/0.22	                ((Xp(Xy0,Xz0) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz0)))) =>
0.00/0.22	            Xp(Xx,Xz))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X4 : (a * a) > $o]:
0.00/0.22	      (X4(sk_Xx, sk_Xy) | X4(sk_Xy0(X4), sk_Xz0(X4)) | ~ sk_S(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X4 : (a * a) > $o, X5 : (a * a) > $o]:
0.00/0.22	      (X5 != X4 | X4(sk_Xx, sk_Xy) | X4(sk_Xy0(X5), sk_Xz0(X5)) | ~ sk_S(X5)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X4 : (a * a) > $o]:
0.00/0.22	      (X4(sk_Xx, sk_Xy) | X4(sk_Xx0(X4), sk_Xy0(X4)) | ~ sk_S(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X4 : (a * a) > $o, X5 : (a * a) > $o]:
0.00/0.22	      (X5 != X4 | X4(sk_Xx, sk_Xy) | X4(sk_Xx0(X5), sk_Xy0(X5)) | ~ sk_S(X5)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0 : a, X1 : a, X2 : a]:
0.00/0.22	      (~ sk_Xp(X0, X1) | ~ sk_Xp(X1, X2) | sk_Xp(X0, X2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ sk_S(X0)
0.00/0.22	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xx0(X0), X1)
0.00/0.22	       | ~ sk_Xp(sk_Xy0(X0), X1)),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.22	      (~ sk_Xp(sk_Xy0(X0), X1)
0.00/0.22	       | sk_Xp(sk_Xx0(X0), X1)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.22	       | ~ sk_S(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0 : (a * a) > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ sk_S(X0)
0.00/0.22	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | ~ sk_S(X0)
0.00/0.22	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xx0(X0), sk_Xz0(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : (a * a) > $o]:
0.00/0.22	      (sk_Xp(sk_Xx0(X0), sk_Xz0(X0))
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.22	       | ~ sk_S(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X4 : (a * a) > $o]:
0.00/0.22	      (X4(sk_Xx, sk_Xy) | ~ X4(sk_Xx0(X4), sk_Xz0(X4)) | ~ sk_S(X4)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X4 : (a * a) > $o, X5 : (a * a) > $o]:
0.00/0.22	      (X5 != X4
0.00/0.22	       | X4(sk_Xx, sk_Xy)
0.00/0.22	       | ~ X4(sk_Xx0(X5), sk_Xz0(X5))
0.00/0.22	       | ~ sk_S(X5)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : (a * a) > $o]: (~ sk_S(X0) | sk_Xp(sk_Xx, sk_Xy) | X0 != sk_Xp),
0.00/0.22	    inference('clc', [status(thm)], ['8', '10'])).
0.00/0.22	tff('12', plain, (sk_Xp(sk_Xx, sk_Xy) | ~ sk_S(sk_Xp)),
0.00/0.22	    inference('eq_res', [status(thm)], ['11'])).
0.00/0.22	tff('13', plain, sk_S(sk_Xp), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('14', plain, (sk_Xp(sk_Xx, sk_Xy) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.22	tff('15', plain, sk_Xp(sk_Xx, sk_Xy),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0 : a]: (~ $true | sk_Xp(sk_Xx, X0) | ~ sk_Xp(sk_Xy, X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['15', '4'])).
0.00/0.22	tff('17', plain, ![X0 : a]: (~ sk_Xp(sk_Xy, X0) | sk_Xp(sk_Xx, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain, ~ sk_Xp(sk_Xx, sk_Xz),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('19', plain, (~ $true | ~ sk_Xp(sk_Xy, sk_Xz)),
0.00/0.22	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X3 : (a * a) > $o]:
0.00/0.22	      (X3(sk_Xy, sk_Xz) | X3(sk_Xy01(X3), sk_Xz01(X3)) | ~ sk_S(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X3 : (a * a) > $o, X4 : (a * a) > $o]:
0.00/0.22	      (X4 != X3
0.00/0.22	       | X3(sk_Xy, sk_Xz)
0.00/0.22	       | X3(sk_Xy01(X4), sk_Xz01(X4))
0.00/0.22	       | ~ sk_S(X4)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X3 : (a * a) > $o]:
0.00/0.22	      (X3(sk_Xy, sk_Xz) | X3(sk_Xx01(X3), sk_Xy01(X3)) | ~ sk_S(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ![X3 : (a * a) > $o, X4 : (a * a) > $o]:
0.00/0.22	      (X4 != X3
0.00/0.22	       | X3(sk_Xy, sk_Xz)
0.00/0.22	       | X3(sk_Xx01(X4), sk_Xy01(X4))
0.00/0.22	       | ~ sk_S(X4)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ sk_S(X0)
0.00/0.22	       | sk_Xp(sk_Xy, sk_Xz)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xx01(X0), X1)
0.00/0.22	       | ~ sk_Xp(sk_Xy01(X0), X1)),
0.00/0.22	    inference('sup-', [status(thm)], ['23', '4'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.22	      (~ sk_Xp(sk_Xy01(X0), X1)
0.00/0.22	       | sk_Xp(sk_Xx01(X0), X1)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xy, sk_Xz)
0.00/0.22	       | ~ sk_S(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['24'])).
0.00/0.22	tff('26', plain,
0.00/0.22	    ![X0 : (a * a) > $o]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ sk_S(X0)
0.00/0.22	       | sk_Xp(sk_Xy, sk_Xz)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | ~ sk_S(X0)
0.00/0.22	       | sk_Xp(sk_Xy, sk_Xz)
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xx01(X0), sk_Xz01(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['21', '25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X0 : (a * a) > $o]:
0.00/0.22	      (sk_Xp(sk_Xx01(X0), sk_Xz01(X0))
0.00/0.22	       | X0 != sk_Xp
0.00/0.22	       | sk_Xp(sk_Xy, sk_Xz)
0.00/0.22	       | ~ sk_S(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    ![X3 : (a * a) > $o]:
0.00/0.22	      (X3(sk_Xy, sk_Xz) | ~ X3(sk_Xx01(X3), sk_Xz01(X3)) | ~ sk_S(X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X3 : (a * a) > $o, X4 : (a * a) > $o]:
0.00/0.22	      (X4 != X3
0.00/0.22	       | X3(sk_Xy, sk_Xz)
0.00/0.22	       | ~ X3(sk_Xx01(X4), sk_Xz01(X4))
0.00/0.22	       | ~ sk_S(X4)),
0.00/0.22	    inference('ho.purify_applied_variable', [status(thm)], ['28'])).
0.00/0.22	tff('30', plain,
0.00/0.22	    ![X0 : (a * a) > $o]: (~ sk_S(X0) | sk_Xp(sk_Xy, sk_Xz) | X0 != sk_Xp),
0.00/0.22	    inference('clc', [status(thm)], ['27', '29'])).
0.00/0.22	tff('31', plain, (sk_Xp(sk_Xy, sk_Xz) | ~ sk_S(sk_Xp)),
0.00/0.22	    inference('eq_res', [status(thm)], ['30'])).
0.00/0.22	tff('32', plain, (sk_Xp(sk_Xy, sk_Xz) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['31', '13'])).
0.00/0.22	tff('33', plain, sk_Xp(sk_Xy, sk_Xz),
0.00/0.22	    inference('simplify', [status(thm)], ['32'])).
0.00/0.22	tff('34', plain, (~ $true | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['19', '33'])).
0.00/0.22	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
