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    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n041.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
0.00/0.31	% done 161 iterations in 0.104s
0.00/0.31	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.31	% SZS output start Refutation
0.00/0.31	tff(cTHM252B_pme, conjecture,
0.00/0.31	  (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.31	     ((![Xp:((a * a) > $o)]:
0.00/0.31	         ((P(Xp) & 
0.00/0.31	           (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
0.00/0.31	          Xp(Xx,Xy))) =>
0.00/0.31	      (![Xp:((a * a) > $o)]:
0.00/0.31	         ((P(Xp) & 
0.00/0.31	           (![Xx0:a,Xy0:a]:
0.00/0.31	              (((![Xp0:((a * a) > $o)]:
0.00/0.31	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.31	                    Xp0(Xx0,Xy0))) | 
0.00/0.31	                (![Xp0:((a * a) > $o)]:
0.00/0.31	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.31	                    Xp0(Xx0,Xy0)))) =>
0.00/0.31	               Xp(Xx0,Xy0)))) =>
0.00/0.31	          Xp(Xx,Xy)))))).
0.00/0.31	tff(zf_stmt_0, negated_conjecture,
0.00/0.31	  (~
0.00/0.31	    (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.31	       ((![Xp:((a * a) > $o)]:
0.00/0.31	           ((P(Xp) & 
0.00/0.31	             (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
0.00/0.31	            Xp(Xx,Xy))) =>
0.00/0.31	        (![Xp:((a * a) > $o)]:
0.00/0.31	           ((P(Xp) & 
0.00/0.31	             (![Xx0:a,Xy0:a]:
0.00/0.31	                (((![Xp0:((a * a) > $o)]:
0.00/0.31	                     ((P(Xp0) & 
0.00/0.31	                       (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.31	                      Xp0(Xx0,Xy0))) | 
0.00/0.31	                  (![Xp0:((a * a) > $o)]:
0.00/0.31	                     ((P(Xp0) & 
0.00/0.31	                       (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.31	                      Xp0(Xx0,Xy0)))) =>
0.00/0.31	                 Xp(Xx0,Xy0)))) =>
0.00/0.31	            Xp(Xx,Xy))))))).
0.00/0.31	tff('0', plain, sk_P(sk_Xp), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('1', plain,
0.00/0.31	    ![X0 : (a * a) > $o]:
0.00/0.31	      (X0(sk_Xx, sk_Xy)
0.00/0.31	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_S(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | ~ sk_P(X0)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('2', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (X1 != X0
0.00/0.31	       | X0(sk_Xx, sk_Xy)
0.00/0.31	       | sk_R(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | sk_S(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | ~ sk_P(X1)),
0.00/0.31	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.31	tff('3', plain,
0.00/0.31	    ![X1 : a, X2 : a, X3 : a, X4 : a]:
0.00/0.31	      (sk_Xp(X1, X2) | sk_Xp0(X2, X1, X3, X4) | ~ sk_S(X3, X4)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('4', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_P(X0)
0.00/0.31	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X3(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != X3
0.00/0.31	       | sk_Xp0(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(X1, X2)),
0.00/0.31	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.31	tff('5', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o]:
0.00/0.31	      (sk_Xp(X1, X2)
0.00/0.31	       | sk_Xp0(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X0 != X3
0.00/0.31	       | X3(sk_Xx, sk_Xy)
0.00/0.31	       | sk_R(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | ~ sk_P(X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['4'])).
0.00/0.31	tff('6', plain,
0.00/0.31	    ![X1 : a, X2 : a, X5 : a, X6 : a]:
0.00/0.31	      (sk_Xp(X1, X2) | sk_Xp01(X2, X1, X5, X6) | ~ sk_R(X5, X6)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('7', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o, X4 : a, X5 : a]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_P(X0)
0.00/0.31	       | X3(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != X3
0.00/0.31	       | sk_Xp0(X5, X4, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(X4, X5)
0.00/0.31	       | sk_Xp01(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(X1, X2)),
0.00/0.31	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.31	tff('8', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : (a * a) > $o, X4 : a, X5 : a]:
0.00/0.31	      (sk_Xp(X1, X2)
0.00/0.31	       | sk_Xp01(X2, X1, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(X4, X5)
0.00/0.31	       | sk_Xp0(X5, X4, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X0 != X3
0.00/0.31	       | X3(sk_Xx, sk_Xy)
0.00/0.31	       | ~ sk_P(X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['7'])).
0.00/0.31	tff('9', plain,
0.00/0.31	    ![X1 : a, X2 : a]: (sk_Xp(X1, X2) | ~ sk_Xp01(X2, X1, X1, X2)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('10', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : a, X3 : a]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_P(X0)
0.00/0.31	       | X1(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != X1
0.00/0.31	       | sk_Xp0(X3, X2, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(X2, X3)
0.00/0.31	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.31	tff('11', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : a, X3 : a]:
0.00/0.31	      (sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(X2, X3)
0.00/0.31	       | sk_Xp0(X3, X2, sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X0 != X1
0.00/0.31	       | X1(sk_Xx, sk_Xy)
0.00/0.31	       | ~ sk_P(X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['10'])).
0.00/0.31	tff('12', plain,
0.00/0.31	    ![X1 : a, X2 : a]: (sk_Xp(X1, X2) | ~ sk_Xp0(X2, X1, X1, X2)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('13', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_P(X0)
0.00/0.31	       | X1(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != X1
0.00/0.31	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.31	    inference('sup-', [status(thm)], ['11', '12'])).
0.00/0.31	tff('14', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X0 != X1
0.00/0.31	       | X1(sk_Xx, sk_Xy)
0.00/0.31	       | ~ sk_P(X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['13'])).
0.00/0.31	tff('15', plain,
0.00/0.31	    ![X0 : (a * a) > $o]:
0.00/0.31	      (X0(sk_Xx, sk_Xy) | ~ X0(sk_Xx0(X0), sk_Xy0(X0)) | ~ sk_P(X0)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('16', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (X1 != X0
0.00/0.31	       | X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | ~ sk_P(X1)),
0.00/0.31	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
0.00/0.31	tff('17', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_P(X0)
0.00/0.31	       | X1(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != X1
0.00/0.31	       | ~ sk_P(X0)
0.00/0.31	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != sk_Xp),
0.00/0.31	    inference('sup-', [status(thm)], ['14', '16'])).
0.00/0.31	tff('18', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (X0 != sk_Xp
0.00/0.31	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != X1
0.00/0.31	       | X1(sk_Xx, sk_Xy)
0.00/0.31	       | ~ sk_P(X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['17'])).
0.00/0.31	tff('19', plain, ~ sk_Xp(sk_Xx, sk_Xy),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('20', plain,
0.00/0.31	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.31	      (~ sk_P(X0) | X1(sk_Xx, sk_Xy) | X0 != X1 | X0 != sk_Xp),
0.00/0.31	    inference('clc', [status(thm)], ['18', '19'])).
0.00/0.31	tff('21', plain,
0.00/0.31	    ![X0 : (a * a) > $o]: (~ $true | X0 != sk_Xp | X0 != sk_Xp | ~ sk_P(X0)),
0.00/0.31	    inference('sup-', [status(thm)], ['20', '19'])).
0.00/0.31	tff('22', plain, ![X0 : (a * a) > $o]: (~ sk_P(X0) | X0 != sk_Xp),
0.00/0.31	    inference('simplify', [status(thm)], ['21'])).
0.00/0.31	tff('23', plain, (~ $true | sk_Xp != sk_Xp),
0.00/0.31	    inference('sup-', [status(thm)], ['0', '22'])).
0.00/0.31	tff('24', plain, $false, inference('simplify', [status(thm)], ['23'])).
0.00/0.31	
0.00/0.31	% SZS output end Refutation
0.00/0.31	EOF
