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_ext
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 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   : n094.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 17:49:24 CST 2018
1.60/1.79	% done 1275 iterations in 1.586s
1.60/1.79	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.60/1.79	% SZS output start Refutation
1.60/1.79	tff(cTHM252B_pme, conjecture,
1.60/1.79	  (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
1.60/1.79	     ((![Xp:((a * a) > $o)]:
1.60/1.79	         ((P(Xp) & 
1.60/1.79	           (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
1.60/1.79	          Xp(Xx,Xy))) =>
1.60/1.79	      (![Xp:((a * a) > $o)]:
1.60/1.79	         ((P(Xp) & 
1.60/1.79	           (![Xx0:a,Xy0:a]:
1.60/1.79	              (((![Xp0:((a * a) > $o)]:
1.60/1.79	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
1.60/1.79	                    Xp0(Xx0,Xy0))) | 
1.60/1.79	                (![Xp0:((a * a) > $o)]:
1.60/1.79	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
1.60/1.79	                    Xp0(Xx0,Xy0)))) =>
1.60/1.79	               Xp(Xx0,Xy0)))) =>
1.60/1.79	          Xp(Xx,Xy)))))).
1.60/1.79	tff(zf_stmt_0, negated_conjecture,
1.60/1.79	  (~
1.60/1.79	    (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
1.60/1.79	       ((![Xp:((a * a) > $o)]:
1.60/1.79	           ((P(Xp) & 
1.60/1.79	             (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
1.60/1.79	            Xp(Xx,Xy))) =>
1.60/1.79	        (![Xp:((a * a) > $o)]:
1.60/1.79	           ((P(Xp) & 
1.60/1.79	             (![Xx0:a,Xy0:a]:
1.60/1.79	                (((![Xp0:((a * a) > $o)]:
1.60/1.79	                     ((P(Xp0) & 
1.60/1.79	                       (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
1.60/1.79	                      Xp0(Xx0,Xy0))) | 
1.60/1.79	                  (![Xp0:((a * a) > $o)]:
1.60/1.79	                     ((P(Xp0) & 
1.60/1.79	                       (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
1.60/1.79	                      Xp0(Xx0,Xy0)))) =>
1.60/1.79	                 Xp(Xx0,Xy0)))) =>
1.60/1.79	            Xp(Xx,Xy))))))).
1.60/1.79	tff('0', plain, sk_P(sk_Xp), inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('1', plain,
1.60/1.79	    ![X0 : (a * a) > $o]:
1.60/1.79	      (X0(sk_Xx, sk_Xy)
1.60/1.79	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_S(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | ~ sk_P(X0)),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('2', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
1.60/1.79	      (X1 != X0
1.60/1.79	       | X0(sk_Xx, sk_Xy)
1.60/1.79	       | sk_R(sk_Xx0(X1), sk_Xy0(X1))
1.60/1.79	       | sk_S(sk_Xx0(X1), sk_Xy0(X1))
1.60/1.79	       | ~ sk_P(X1)),
1.60/1.79	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
1.60/1.79	tff('3', plain,
1.60/1.79	    ![X1 : a, X2 : a, X3 : a, X4 : a]:
1.60/1.79	      (sk_Xp(X1, X2) | sk_Xp0(X2, X1, X3, X4) | ~ sk_S(X3, X4)),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('4', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o]:
1.60/1.79	      (~ $true
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X3(sk_Xx, sk_Xy)
1.60/1.79	       | X0 != X3
1.60/1.79	       | sk_Xp0(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(X1, X2)),
1.60/1.79	    inference('sup-', [status(thm)], ['2', '3'])).
1.60/1.79	tff('5', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o]:
1.60/1.79	      (sk_Xp(X1, X2)
1.60/1.79	       | sk_Xp0(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X0 != X3
1.60/1.79	       | X3(sk_Xx, sk_Xy)
1.60/1.79	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['4'])).
1.60/1.79	tff('6', plain,
1.60/1.79	    ![X1 : a, X2 : a, X5 : a, X6 : a]:
1.60/1.79	      (sk_Xp(X1, X2) | sk_Xp01(X2, X1, X5, X6) | ~ sk_R(X5, X6)),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('7', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o, X4 : a, X5 : a]:
1.60/1.79	      (~ $true
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | X3(sk_Xx, sk_Xy)
1.60/1.79	       | X0 != X3
1.60/1.79	       | sk_Xp0(X5, X4, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(X4, X5)
1.60/1.79	       | sk_Xp01(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(X1, X2)),
1.60/1.79	    inference('sup-', [status(thm)], ['5', '6'])).
1.60/1.79	tff('8', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o, X4 : a, X5 : a]:
1.60/1.79	      (sk_Xp(X1, X2)
1.60/1.79	       | sk_Xp01(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(X4, X5)
1.60/1.79	       | sk_Xp0(X5, X4, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X0 != X3
1.60/1.79	       | X3(sk_Xx, sk_Xy)
1.60/1.79	       | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['7'])).
1.60/1.79	tff('9', plain,
1.60/1.79	    ![X1 : a, X2 : a]: (sk_Xp(X1, X2) | ~ sk_Xp01(X2, X1, X1, X2)),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('10', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : a, X3 : a]:
1.60/1.79	      (~ $true
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | X0 != X1
1.60/1.79	       | sk_Xp0(X3, X2, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(X2, X3)
1.60/1.79	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
1.60/1.79	    inference('sup-', [status(thm)], ['8', '9'])).
1.60/1.79	tff('11', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : a, X3 : a]:
1.60/1.79	      (sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(X2, X3)
1.60/1.79	       | sk_Xp0(X3, X2, sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X0 != X1
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['10'])).
1.60/1.79	tff('12', plain,
1.60/1.79	    ![X1 : a, X2 : a]: (sk_Xp(X1, X2) | ~ sk_Xp0(X2, X1, X1, X2)),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('13', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
1.60/1.79	      (~ $true
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | X0 != X1
1.60/1.79	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
1.60/1.79	    inference('sup-', [status(thm)], ['11', '12'])).
1.60/1.79	tff('14', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
1.60/1.79	      (sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X0 != X1
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['13'])).
1.60/1.79	tff('15', plain,
1.60/1.79	    ![X0 : (a * a) > $o]:
1.60/1.79	      (X0(sk_Xx, sk_Xy) | ~ X0(sk_Xx0(X0), sk_Xy0(X0)) | ~ sk_P(X0)),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('16', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
1.60/1.79	      (X2 != X0
1.60/1.79	       | X1 != X0
1.60/1.79	       | X0(sk_Xx, sk_Xy)
1.60/1.79	       | ~ X1(sk_Xx0(X2), sk_Xy0(X2))
1.60/1.79	       | ~ sk_P(X2)),
1.60/1.79	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
1.60/1.79	tff('17', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
1.60/1.79	      (~ sk_P(X0)
1.60/1.79	       | ~ X1(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X0(sk_Xx, sk_Xy)
1.60/1.79	       | X1 != X0),
1.60/1.79	    inference('eq_res', [status(thm)], ['16'])).
1.60/1.79	tff('18', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
1.60/1.79	      (X2 != X0
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | ~ X1(sk_Xx0(X0), sk_Xy0(X0))
1.60/1.79	       | X2(sk_Xx, sk_Xy)
1.60/1.79	       | X1 != X0),
1.60/1.79	    inference('ho.purify_applied_variable', [status(thm)], ['17'])).
1.60/1.79	tff('19', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
1.60/1.79	      (~ $true
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | X2(sk_Xx, sk_Xy)
1.60/1.79	       | X0 != X2
1.60/1.79	       | sk_Xp != X0
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | X1 != X0),
1.60/1.79	    inference('sup-', [status(thm)], ['14', '18'])).
1.60/1.79	tff('20', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
1.60/1.79	      (X1 != X0
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | sk_Xp != X0
1.60/1.79	       | X0 != X2
1.60/1.79	       | X2(sk_Xx, sk_Xy)
1.60/1.79	       | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['19'])).
1.60/1.79	tff('21', plain, ~ sk_Xp(sk_Xx, sk_Xy),
1.60/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.79	tff('22', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
1.60/1.79	      (~ $true
1.60/1.79	       | ~ sk_P(X0)
1.60/1.79	       | X1(sk_Xx, sk_Xy)
1.60/1.79	       | X0 != X1
1.60/1.79	       | sk_Xp != X0
1.60/1.79	       | sk_Xp != X0),
1.60/1.79	    inference('sup-', [status(thm)], ['20', '21'])).
1.60/1.79	tff('23', plain,
1.60/1.79	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
1.60/1.79	      (sk_Xp != X0 | X0 != X1 | X1(sk_Xx, sk_Xy) | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['22'])).
1.60/1.79	tff('24', plain,
1.60/1.79	    ![X0 : (a * a) > $o]: (~ $true | ~ sk_P(X0) | X0 != sk_Xp | sk_Xp != X0),
1.60/1.79	    inference('sup-', [status(thm)], ['23', '21'])).
1.60/1.79	tff('25', plain, ![X0 : (a * a) > $o]: (X0 != sk_Xp | ~ sk_P(X0)),
1.60/1.79	    inference('simplify', [status(thm)], ['24'])).
1.60/1.79	tff('26', plain, (~ $true | sk_Xp != sk_Xp),
1.60/1.79	    inference('sup-', [status(thm)], ['0', '25'])).
1.60/1.79	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
1.60/1.79	
1.60/1.79	% SZS output end Refutation
1.60/1.79	EOF
