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
0.00/0.20	% 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 17:49:24 CST 2018
0.00/0.36	% done 195 iterations in 0.158s
0.00/0.36	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.36	% SZS output start Refutation
0.00/0.36	tff(cTHM252B_pme, conjecture,
0.00/0.36	  (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.36	     ((![Xp:((a * a) > $o)]:
0.00/0.36	         ((P(Xp) & 
0.00/0.36	           (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
0.00/0.36	          Xp(Xx,Xy))) =>
0.00/0.36	      (![Xp:((a * a) > $o)]:
0.00/0.36	         ((P(Xp) & 
0.00/0.36	           (![Xx0:a,Xy0:a]:
0.00/0.36	              (((![Xp0:((a * a) > $o)]:
0.00/0.36	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.36	                    Xp0(Xx0,Xy0))) | 
0.00/0.36	                (![Xp0:((a * a) > $o)]:
0.00/0.36	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.36	                    Xp0(Xx0,Xy0)))) =>
0.00/0.36	               Xp(Xx0,Xy0)))) =>
0.00/0.36	          Xp(Xx,Xy)))))).
0.00/0.36	tff(zf_stmt_0, negated_conjecture,
0.00/0.36	  (~
0.00/0.36	    (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.36	       ((![Xp:((a * a) > $o)]:
0.00/0.36	           ((P(Xp) & 
0.00/0.36	             (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
0.00/0.36	            Xp(Xx,Xy))) =>
0.00/0.36	        (![Xp:((a * a) > $o)]:
0.00/0.36	           ((P(Xp) & 
0.00/0.36	             (![Xx0:a,Xy0:a]:
0.00/0.36	                (((![Xp0:((a * a) > $o)]:
0.00/0.36	                     ((P(Xp0) & 
0.00/0.36	                       (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.36	                      Xp0(Xx0,Xy0))) | 
0.00/0.36	                  (![Xp0:((a * a) > $o)]:
0.00/0.36	                     ((P(Xp0) & 
0.00/0.36	                       (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.36	                      Xp0(Xx0,Xy0)))) =>
0.00/0.36	                 Xp(Xx0,Xy0)))) =>
0.00/0.36	            Xp(Xx,Xy))))))).
0.00/0.36	tff('0', plain, sk_P(sk_Xp), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('1', plain,
0.00/0.36	    ![X0 : (a * a) > $o]:
0.00/0.36	      (X0(sk_Xx, sk_Xy)
0.00/0.36	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | sk_S(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | ~ sk_P(X0)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('2', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (X1 != X0
0.00/0.36	       | X0(sk_Xx, sk_Xy)
0.00/0.36	       | sk_R(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.36	       | sk_S(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.36	       | ~ sk_P(X1)),
0.00/0.36	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.36	tff('3', plain,
0.00/0.36	    ![X1 : a, X2 : a, X3 : a, X4 : a]:
0.00/0.36	      (sk_Xp(X1, X2) | sk_Xp0(X2, X1, X3, X4) | ~ sk_S(X3, X4)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('4', plain,
0.00/0.36	    ![X1 : a, X2 : a]: (sk_Xp(X1, X2) | ~ sk_Xp0(X2, X1, X1, X2)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('5', plain,
0.00/0.36	    ![X0 : a, X1 : a]:
0.00/0.36	      (~ $true | ~ sk_S(X1, X0) | sk_Xp(X1, X0) | sk_Xp(X1, X0)),
0.00/0.36	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.36	tff('6', plain, ![X0 : a, X1 : a]: (sk_Xp(X1, X0) | ~ sk_S(X1, X0)),
0.00/0.36	    inference('simplify', [status(thm)], ['5'])).
0.00/0.36	tff('7', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (~ $true
0.00/0.36	       | ~ sk_P(X0)
0.00/0.36	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | X1(sk_Xx, sk_Xy)
0.00/0.36	       | X0 != X1
0.00/0.36	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.36	    inference('sup-', [status(thm)], ['2', '6'])).
0.00/0.36	tff('8', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | X0 != X1
0.00/0.36	       | X1(sk_Xx, sk_Xy)
0.00/0.36	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | ~ sk_P(X0)),
0.00/0.36	    inference('simplify', [status(thm)], ['7'])).
0.00/0.36	tff('9', plain,
0.00/0.36	    ![X1 : a, X2 : a, X5 : a, X6 : a]:
0.00/0.36	      (sk_Xp(X1, X2) | sk_Xp01(X2, X1, X5, X6) | ~ sk_R(X5, X6)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('10', plain,
0.00/0.36	    ![X1 : a, X2 : a]: (sk_Xp(X1, X2) | ~ sk_Xp01(X2, X1, X1, X2)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('11', plain,
0.00/0.36	    ![X0 : a, X1 : a]:
0.00/0.36	      (~ $true | ~ sk_R(X1, X0) | sk_Xp(X1, X0) | sk_Xp(X1, X0)),
0.00/0.36	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.36	tff('12', plain, ![X0 : a, X1 : a]: (sk_Xp(X1, X0) | ~ sk_R(X1, X0)),
0.00/0.36	    inference('simplify', [status(thm)], ['11'])).
0.00/0.36	tff('13', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (~ sk_P(X0)
0.00/0.36	       | X1(sk_Xx, sk_Xy)
0.00/0.36	       | X0 != X1
0.00/0.36	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.36	    inference('clc', [status(thm)], ['8', '12'])).
0.00/0.36	tff('14', plain,
0.00/0.36	    ![X0 : (a * a) > $o]:
0.00/0.36	      (X0(sk_Xx, sk_Xy) | ~ X0(sk_Xx0(X0), sk_Xy0(X0)) | ~ sk_P(X0)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('15', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
0.00/0.36	      (X2 != X0
0.00/0.36	       | X1 != X0
0.00/0.36	       | X0(sk_Xx, sk_Xy)
0.00/0.36	       | ~ X1(sk_Xx0(X2), sk_Xy0(X2))
0.00/0.36	       | ~ sk_P(X2)),
0.00/0.36	    inference('ho.purify_applied_variable', [status(thm)], ['14'])).
0.00/0.36	tff('16', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (~ sk_P(X0)
0.00/0.36	       | ~ X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | X0(sk_Xx, sk_Xy)
0.00/0.36	       | X1 != X0),
0.00/0.36	    inference('eq_res', [status(thm)], ['15'])).
0.00/0.36	tff('17', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
0.00/0.36	      (X2 != X0
0.00/0.36	       | ~ sk_P(X0)
0.00/0.36	       | ~ X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.36	       | X2(sk_Xx, sk_Xy)
0.00/0.36	       | X1 != X0),
0.00/0.36	    inference('ho.purify_applied_variable', [status(thm)], ['16'])).
0.00/0.36	tff('18', plain, ~ sk_Xp(sk_Xx, sk_Xy),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('19', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (~ $true
0.00/0.36	       | X0 != X1
0.00/0.36	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.36	       | ~ sk_P(X1)
0.00/0.36	       | sk_Xp != X1),
0.00/0.36	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.36	tff('20', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (sk_Xp != X1 | ~ sk_P(X1) | ~ X0(sk_Xx0(X1), sk_Xy0(X1)) | X0 != X1),
0.00/0.36	    inference('simplify', [status(thm)], ['19'])).
0.00/0.36	tff('21', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (~ $true
0.00/0.36	       | X0 != X1
0.00/0.36	       | X1(sk_Xx, sk_Xy)
0.00/0.36	       | ~ sk_P(X0)
0.00/0.36	       | sk_Xp != X0
0.00/0.36	       | ~ sk_P(X0)
0.00/0.36	       | sk_Xp != X0),
0.00/0.36	    inference('sup-', [status(thm)], ['13', '20'])).
0.00/0.36	tff('22', plain,
0.00/0.36	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.36	      (sk_Xp != X0 | ~ sk_P(X0) | X1(sk_Xx, sk_Xy) | X0 != X1),
0.00/0.36	    inference('simplify', [status(thm)], ['21'])).
0.00/0.36	tff('23', plain,
0.00/0.36	    ![X0 : (a * a) > $o]: (~ $true | X0 != sk_Xp | ~ sk_P(X0) | sk_Xp != X0),
0.00/0.36	    inference('sup-', [status(thm)], ['22', '18'])).
0.00/0.36	tff('24', plain, ![X0 : (a * a) > $o]: (~ sk_P(X0) | X0 != sk_Xp),
0.00/0.36	    inference('simplify', [status(thm)], ['23'])).
0.00/0.36	tff('25', plain, (~ $true | sk_Xp != sk_Xp),
0.00/0.36	    inference('sup-', [status(thm)], ['0', '24'])).
0.00/0.36	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
0.00/0.36	
0.00/0.36	% SZS output end Refutation
0.00/0.37	EOF
