0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_int
0.00/0.01	% Ordering    : kbo
0.00/0.01	% 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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n162.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:50:08 CST 2018
0.00/0.33	% done 113 iterations in 0.125s
0.00/0.33	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.33	% SZS output start Refutation
0.00/0.33	tff(cT146A_pme, conjecture,
0.00/0.33	  (![Xr:(($i * $i) > $o),Xx,Xy]:
0.00/0.33	     ((![Xp:(($i * $i) > $o)]:
0.00/0.33	         (((![Xu,Xv,Xw]: ((Xr(Xv,Xw) & Xp(Xu,Xv)) => Xp(Xu,Xw))) & 
0.00/0.33	           (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.33	          Xp(Xx,Xy))) =>
0.00/0.33	      (![Xp:(($i * $i) > $o)]:
0.00/0.33	         (((![Xx0,Xy0,Xz]: ((Xp(Xy0,Xz) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz))) & 
0.00/0.33	           (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.33	          Xp(Xx,Xy)))))).
0.00/0.33	tff(zf_stmt_0, negated_conjecture,
0.00/0.33	  (~
0.00/0.33	    (![Xr:(($i * $i) > $o),Xx,Xy]:
0.00/0.33	       ((![Xp:(($i * $i) > $o)]:
0.00/0.33	           (((![Xu,Xv,Xw]: ((Xr(Xv,Xw) & Xp(Xu,Xv)) => Xp(Xu,Xw))) & 
0.00/0.33	             (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.33	            Xp(Xx,Xy))) =>
0.00/0.33	        (![Xp:(($i * $i) > $o)]:
0.00/0.33	           (((![Xx0,Xy0,Xz]: ((Xp(Xy0,Xz) & Xp(Xx0,Xy0)) => Xp(Xx0,Xz))) & 
0.00/0.33	             (![Xx0,Xy0]: (Xr(Xx0,Xy0) => Xp(Xx0,Xy0)))) =>
0.00/0.33	            Xp(Xx,Xy))))))).
0.00/0.33	tff('0', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o]:
0.00/0.33	      (X0(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('1', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.33	      (X1 != X0
0.00/0.33	       | X0(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.33	       | sk_Xr(sk_Xv(X1), sk_Xw(X1))),
0.00/0.33	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.33	tff('2', plain, ![X1, X2]: (sk_Xp(X1, X2) | ~ sk_Xr(X1, X2)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('3', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o]:
0.00/0.33	      (X0(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | X0(sk_Xu(X0), sk_Xv(X0))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('4', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.33	      (X1 != X0
0.00/0.33	       | X0(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.33	       | X0(sk_Xu(X1), sk_Xv(X1))),
0.00/0.33	    inference('ho.purify_applied_variable', [status(thm)], ['3'])).
0.00/0.33	tff('5', plain,
0.00/0.33	    ![X3, X4, X5]: (~ sk_Xp(X3, X4) | ~ sk_Xp(X4, X5) | sk_Xp(X3, X5)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('6', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.33	      (~ $true
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.33	       | X0 != sk_Xp
0.00/0.33	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.33	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.33	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.33	      (~ sk_Xp(sk_Xv(X0), X1)
0.00/0.33	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.33	       | X0 != sk_Xp
0.00/0.33	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.33	    inference('simplify', [status(thm)], ['6'])).
0.00/0.33	tff('8', plain, ~ sk_Xp(sk_Xx, sk_Xy),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.33	      (sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | X0 != sk_Xp
0.00/0.33	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.33	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.33	    inference('clc', [status(thm)], ['7', '8'])).
0.00/0.33	tff('10', plain,
0.00/0.33	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ sk_Xr(sk_Xv(X1), X0)
0.00/0.33	       | sk_Xp(sk_Xu(X1), X0)
0.00/0.33	       | X1 != sk_Xp
0.00/0.33	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.33	    inference('sup-', [status(thm)], ['2', '9'])).
0.00/0.33	tff('11', plain,
0.00/0.33	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.33	      (sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.33	       | X1 != sk_Xp
0.00/0.33	       | sk_Xp(sk_Xu(X1), X0)
0.00/0.33	       | ~ sk_Xr(sk_Xv(X1), X0)),
0.00/0.33	    inference('simplify', [status(thm)], ['10'])).
0.00/0.33	tff('12', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o]:
0.00/0.33	      (X0(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | ~ X0(sk_Xu(X0), sk_Xw(X0))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff('13', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.33	      (X1 != X0
0.00/0.33	       | X0(sk_Xx, sk_Xy)
0.00/0.33	       | sk_Xr(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.33	       | ~ X0(sk_Xu(X1), sk_Xw(X1))),
0.00/0.33	    inference('ho.purify_applied_variable', [status(thm)], ['12'])).
0.00/0.33	tff('14', plain,
0.00/0.33	    ![X0 : ($i * $i) > $o]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.33	       | X0 != sk_Xp
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.33	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.33	       | X0 != sk_Xp),
0.00/0.33	    inference('sup-', [status(thm)], ['11', '13'])).
0.00/0.33	tff('15', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['14'])).
0.00/0.34	tff('16', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('clc', [status(thm)], ['15', '8'])).
0.00/0.34	tff('17', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (~ $true
0.00/0.34	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X1(sk_Xx, sk_Xy)
0.00/0.34	       | X0 != X1
0.00/0.34	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X0 != sk_Xp),
0.00/0.34	    inference('sup-', [status(thm)], ['1', '16'])).
0.00/0.34	tff('18', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (X0 != sk_Xp
0.00/0.34	       | X0 != X1
0.00/0.34	       | X1(sk_Xx, sk_Xy)
0.00/0.34	       | sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['17'])).
0.00/0.34	tff('19', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (X0(sk_Xx, sk_Xy)
0.00/0.34	       | ~ X0(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X0(sk_Xu(X0), sk_Xv(X0))),
0.00/0.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.34	tff('20', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (X1 != X0
0.00/0.34	       | X0(sk_Xx, sk_Xy)
0.00/0.34	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.34	       | X0(sk_Xu(X1), sk_Xv(X1))),
0.00/0.34	    inference('ho.purify_applied_variable', [status(thm)], ['19'])).
0.00/0.34	tff('21', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.34	      (~ $true
0.00/0.34	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.34	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.34	    inference('sup-', [status(thm)], ['20', '5'])).
0.00/0.34	tff('22', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.34	      (~ sk_Xp(sk_Xv(X0), X1)
0.00/0.34	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['21'])).
0.00/0.34	tff('23', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.34	      (~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.34	       | ~ sk_Xp(sk_Xv(X0), X1)),
0.00/0.34	    inference('clc', [status(thm)], ['22', '8'])).
0.00/0.34	tff('24', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.34	      (~ $true
0.00/0.34	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | ~ sk_Xp(sk_Xv(X0), X1)
0.00/0.34	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.34	       | X0 != sk_Xp),
0.00/0.34	    inference('sup-', [status(thm)], ['2', '23'])).
0.00/0.34	tff('25', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.34	      (X0 != sk_Xp
0.00/0.34	       | sk_Xp(sk_Xu(X0), X1)
0.00/0.34	       | ~ sk_Xp(sk_Xv(X0), X1)
0.00/0.34	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['24'])).
0.00/0.34	tff('26', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1]:
0.00/0.34	      (~ sk_Xp(sk_Xv(X0), X1) | sk_Xp(sk_Xu(X0), X1) | X0 != sk_Xp),
0.00/0.34	    inference('clc', [status(thm)], ['25', '9'])).
0.00/0.34	tff('27', plain,
0.00/0.34	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.34	      (~ $true | ~ sk_Xr(sk_Xv(X1), X0) | X1 != sk_Xp | sk_Xp(sk_Xu(X1), X0)),
0.00/0.34	    inference('sup-', [status(thm)], ['2', '26'])).
0.00/0.34	tff('28', plain,
0.00/0.34	    ![X0, X1 : ($i * $i) > $o]:
0.00/0.34	      (sk_Xp(sk_Xu(X1), X0) | X1 != sk_Xp | ~ sk_Xr(sk_Xv(X1), X0)),
0.00/0.34	    inference('simplify', [status(thm)], ['27'])).
0.00/0.34	tff('29', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (X0(sk_Xx, sk_Xy)
0.00/0.34	       | ~ X0(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | ~ X0(sk_Xu(X0), sk_Xw(X0))),
0.00/0.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.34	tff('30', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (X1 != X0
0.00/0.34	       | X0(sk_Xx, sk_Xy)
0.00/0.34	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.34	       | ~ X0(sk_Xu(X1), sk_Xw(X1))),
0.00/0.34	    inference('ho.purify_applied_variable', [status(thm)], ['29'])).
0.00/0.34	tff('31', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ $true
0.00/0.34	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | X0 != sk_Xp),
0.00/0.34	    inference('sup-', [status(thm)], ['28', '30'])).
0.00/0.34	tff('32', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['31'])).
0.00/0.34	tff('33', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | ~ sk_Xp(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('clc', [status(thm)], ['32', '8'])).
0.00/0.34	tff('34', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ $true
0.00/0.34	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | ~ sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.34	    inference('sup-', [status(thm)], ['2', '33'])).
0.00/0.34	tff('35', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | X0 != sk_Xp
0.00/0.34	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['34'])).
0.00/0.34	tff('36', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (X0(sk_Xx, sk_Xy)
0.00/0.34	       | ~ X0(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))),
0.00/0.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.34	tff('37', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (X1 != X0
0.00/0.34	       | X0(sk_Xx, sk_Xy)
0.00/0.34	       | ~ X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.34	       | sk_Xr(sk_Xv(X1), sk_Xw(X1))),
0.00/0.34	    inference('ho.purify_applied_variable', [status(thm)], ['36'])).
0.00/0.34	tff('38', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ $true
0.00/0.34	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | X0 != sk_Xp),
0.00/0.34	    inference('sup-', [status(thm)], ['2', '37'])).
0.00/0.34	tff('39', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (X0 != sk_Xp
0.00/0.34	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.34	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | ~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.34	    inference('simplify', [status(thm)], ['38'])).
0.00/0.34	tff('40', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]:
0.00/0.34	      (~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.34	       | sk_Xr(sk_Xv(X0), sk_Xw(X0))
0.00/0.34	       | X0 != sk_Xp),
0.00/0.34	    inference('clc', [status(thm)], ['39', '8'])).
0.00/0.34	tff('41', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]: (~ sk_Xr(sk_Xx0(X0), sk_Xy0(X0)) | X0 != sk_Xp),
0.00/0.34	    inference('clc', [status(thm)], ['35', '40'])).
0.00/0.34	tff('42', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (~ $true | X1(sk_Xx, sk_Xy) | X0 != X1 | X0 != sk_Xp | X0 != sk_Xp),
0.00/0.34	    inference('sup-', [status(thm)], ['18', '41'])).
0.00/0.34	tff('43', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o, X1 : ($i * $i) > $o]:
0.00/0.34	      (X0 != sk_Xp | X0 != X1 | X1(sk_Xx, sk_Xy)),
0.00/0.34	    inference('simplify', [status(thm)], ['42'])).
0.00/0.34	tff('44', plain,
0.00/0.34	    ![X0 : ($i * $i) > $o]: (~ $true | X0 != sk_Xp | X0 != sk_Xp),
0.00/0.34	    inference('sup-', [status(thm)], ['43', '8'])).
0.00/0.34	tff('45', plain, ![X0 : ($i * $i) > $o]: X0 != sk_Xp,
0.00/0.34	    inference('simplify', [status(thm)], ['44'])).
0.00/0.34	tff('46', plain, $false, inference('eq_res', [status(thm)], ['45'])).
0.00/0.34	
0.00/0.34	% SZS output end Refutation
0.00/0.34	EOF
