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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n084.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:39:39 CST 2018
0.00/0.31	% done 130 iterations in 0.113s
0.00/0.31	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.31	% SZS output start Refutation
0.00/0.31	tff(cT146A_pme, conjecture,
0.00/0.31	  (![Xr:(($i * $i) > $o),Xx,Xy]:
0.00/0.31	     ((![Xp:(($i * $i) > $o)]:
0.00/0.31	         (((![Xu,Xv,Xw]: ((Xr(Xv,Xw) & Xp(Xu,Xv)) => Xp(Xu,Xw))) & 
0.00/0.31	           (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.31	          Xp(Xx,Xy))) =>
0.00/0.31	      (![Xp:(($i * $i) > $o)]:
0.00/0.31	         (((![Xx0,Xy0,Xz]: ((Xp(Xy0,Xz) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz))) & 
0.00/0.31	           (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.31	          Xp(Xx,Xy)))))).
0.00/0.31	tff(zf_stmt_0, negated_conjecture,
0.00/0.31	  (~
0.00/0.31	    (![Xr:(($i * $i) > $o),Xx,Xy]:
0.00/0.31	       ((![Xp:(($i * $i) > $o)]:
0.00/0.31	           (((![Xu,Xv,Xw]: ((Xr(Xv,Xw) & Xp(Xu,Xv)) => Xp(Xu,Xw))) & 
0.00/0.31	             (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.31	            Xp(Xx,Xy))) =>
0.00/0.31	        (![Xp:(($i * $i) > $o)]:
0.00/0.31	           (((![Xx0,Xy0,Xz]: ((Xp(Xy0,Xz) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz))) & 
0.00/0.31	             (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.31	            Xp(Xx,Xy))))))).
0.00/0.31	tff('0', plain, ![X1, X2]: (sk_Xp(X1, X2) | ~ sk_Xr(X1, X2)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('1', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o]:
0.00/0.31	      (X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('2', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.31	      (X1 != X0
0.00/0.31	       | X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | sk_Xr(sk_Xv(X1), sk_Xw(X1))),
0.00/0.31	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.31	tff('3', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o]:
0.00/0.31	      (X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X0(sk_Xu(X0), sk_Xv(X0))),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('4', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.31	      (X1 != X0
0.00/0.31	       | X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | X0(sk_Xu(X1), sk_Xv(X1))),
0.00/0.31	    inference('ho.purify_applied_variable', [status(thm)], ['3'])).
0.00/0.31	tff('5', plain,
0.00/0.31	    ![X3, X4, X5]: (~ sk_Xp(X3, X4) | ~ sk_Xp(X4, X5) | sk_Xp(X3, X5)),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('6', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != sk_Xp
0.00/0.31	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.31	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.31	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.31	tff('7', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.31	      (~ sk_Xp(sk_Xv(X0), X1)
0.00/0.31	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.31	       | X0 != sk_Xp
0.00/0.31	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.31	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.31	    inference('simplify', [status(thm)], ['6'])).
0.00/0.31	tff('8', plain, ~ sk_Xp(sk_Xx, sk_Xy),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('9', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.31	      (~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | X0 != sk_Xp
0.00/0.31	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.31	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.31	    inference('clc', [status(thm)], ['7', '8'])).
0.00/0.31	tff('10', plain,
0.00/0.31	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_Xr(sk_Xv(X1), X0)
0.00/0.31	       | sk_Xp(sk_Xu(X1), X0)
0.00/0.31	       | X1 != sk_Xp
0.00/0.31	       | ~ sk_Xp(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.31	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.31	tff('11', plain,
0.00/0.31	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.31	      (~ sk_Xp(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | X1 != sk_Xp
0.00/0.31	       | sk_Xp(sk_Xu(X1), X0)
0.00/0.31	       | ~ sk_Xr(sk_Xv(X1), X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['10'])).
0.00/0.31	tff('12', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o]:
0.00/0.31	      (X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | ~ X0(sk_Xu(X0), sk_Xw(X0))),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('13', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.31	      (X1 != X0
0.00/0.31	       | X0(sk_Xx, sk_Xy)
0.00/0.31	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.31	       | ~ X0(sk_Xu(X1), sk_Xw(X1))),
0.00/0.31	    inference('ho.purify_applied_variable', [status(thm)], ['12'])).
0.00/0.31	tff('14', plain,
0.00/0.31	    ![X0 : ($i * $i) > $o]:
0.00/0.31	      (~ $true
0.00/0.31	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.31	       | X0 != sk_Xp
0.00/0.31	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.31	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.31	       | X0 != sk_Xp),
0.00/0.31	    inference('sup-', [status(thm)], ['11', '13'])).
0.00/0.31	tff('15', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['14'])).
0.00/0.32	tff('16', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('clc', [status(thm)], ['15', '8'])).
0.00/0.32	tff('17', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X1(sk_Xx, sk_Xy)
0.00/0.32	       | X0 != X1
0.00/0.32	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp),
0.00/0.32	    inference('sup-', [status(thm)], ['2', '16'])).
0.00/0.32	tff('18', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (X0 != sk_Xp
0.00/0.32	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != X1
0.00/0.32	       | X1(sk_Xx, sk_Xy)
0.00/0.32	       | ~ X1(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['17'])).
0.00/0.32	tff('19', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '18'])).
0.00/0.32	tff('20', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['19'])).
0.00/0.32	tff('21', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0)) | sk_Xp(sk_Xx, sk_Xy) | X0 != sk_Xp),
0.00/0.32	    inference('clc', [status(thm)], ['20', '0'])).
0.00/0.32	tff('22', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (X0(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('23', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (X1 != X0
0.00/0.32	       | X0(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.32	       | sk_Xr(sk_Xv(X1), sk_Xw(X1))),
0.00/0.32	    inference('ho.purify_applied_variable', [status(thm)], ['22'])).
0.00/0.32	tff('24', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (X0(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0(sk_Xu(X0), sk_Xv(X0))),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('25', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (X1 != X0
0.00/0.32	       | X0(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.32	       | X0(sk_Xu(X1), sk_Xv(X1))),
0.00/0.32	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
0.00/0.32	tff('26', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.32	      (~ $true
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.32	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.32	    inference('sup-', [status(thm)], ['25', '5'])).
0.00/0.32	tff('27', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.32	      (~ sk_Xp(sk_Xv(X0), X1)
0.00/0.32	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['26'])).
0.00/0.32	tff('28', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.32	      (sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.32	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.32	    inference('clc', [status(thm)], ['27', '8'])).
0.00/0.32	tff('29', plain,
0.00/0.32	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_Xr(sk_Xv(X1), X0)
0.00/0.32	       | sk_Xp(sk_Xu(X1), X0)
0.00/0.32	       | X1 != sk_Xp
0.00/0.32	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '28'])).
0.00/0.32	tff('30', plain,
0.00/0.32	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.32	      (sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.32	       | X1 != sk_Xp
0.00/0.32	       | sk_Xp(sk_Xu(X1), X0)
0.00/0.32	       | ~ sk_Xr(sk_Xv(X1), X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['29'])).
0.00/0.32	tff('31', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (X0(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | ~ X0(sk_Xu(X0), sk_Xw(X0))),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('32', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (X1 != X0
0.00/0.32	       | X0(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.32	       | ~ X0(sk_Xu(X1), sk_Xw(X1))),
0.00/0.32	    inference('ho.purify_applied_variable', [status(thm)], ['31'])).
0.00/0.32	tff('33', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | X0 != sk_Xp),
0.00/0.32	    inference('sup-', [status(thm)], ['30', '32'])).
0.00/0.32	tff('34', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (sk_Xp(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['33'])).
0.00/0.32	tff('35', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.32	       | X0 != sk_Xp
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('clc', [status(thm)], ['34', '8'])).
0.00/0.32	tff('36', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X1(sk_Xx, sk_Xy)
0.00/0.32	       | X0 != X1
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.32	       | X0 != sk_Xp),
0.00/0.32	    inference('sup-', [status(thm)], ['23', '35'])).
0.00/0.32	tff('37', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.32	      (X0 != sk_Xp
0.00/0.32	       | X0 != X1
0.00/0.32	       | X1(sk_Xx, sk_Xy)
0.00/0.32	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['36'])).
0.00/0.32	tff('38', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]:
0.00/0.32	      (~ $true | sk_Xr(sk_Xx0(X0), sk_Xy0(X0)) | X0 != sk_Xp | X0 != sk_Xp),
0.00/0.32	    inference('sup-', [status(thm)], ['37', '8'])).
0.00/0.32	tff('39', plain,
0.00/0.32	    ![X0 : ($i * $i) > $o]: (X0 != sk_Xp | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.32	    inference('simplify', [status(thm)], ['38'])).
0.00/0.32	tff('40', plain, ![X0 : ($i * $i) > $o]: (X0 != sk_Xp | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.32	    inference('clc', [status(thm)], ['21', '39'])).
0.00/0.32	tff('41', plain, ![X0 : ($i * $i) > $o]: X0 != sk_Xp,
0.00/0.32	    inference('clc', [status(thm)], ['40', '8'])).
0.00/0.32	tff('42', plain, $false, inference('eq_res', [status(thm)], ['41'])).
0.00/0.32	
0.00/0.32	% SZS output end Refutation
0.00/0.32	EOF
