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_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n037.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 16:54:09 CST 2018
0.00/0.53	% done 901 iterations in 0.324s
0.00/0.53	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.53	% SZS output start Refutation
0.00/0.53	tff(cSILLYWFF2, conjecture,
0.00/0.53	  ((?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.53	      ((~Xq(z)) & Xq(Xy) & (~Xp(Xy)) & Xp(Xx))) <=>
0.00/0.53	   (?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.53	      ((~Xp(Xy)) & Xp(Xx) & Xq(Xy) & (~Xq(z)))))).
0.00/0.53	tff(zf_stmt_0, negated_conjecture,
0.00/0.53	  (~
0.00/0.53	    ((?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.53	        ((~Xq(z)) & Xq(Xy) & (~Xp(Xy)) & Xp(Xx))) <=>
0.00/0.53	     (?[Xp:($i > $o),Xq:($i > $o),Xx,Xy]:
0.00/0.53	        ((~Xp(Xy)) & Xp(Xx) & Xq(Xy) & (~Xq(z))))))).
0.00/0.53	tff('0', plain, (~ sk_Xq(z) | sk_Xq1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('1', plain, (sk_Xp(sk_Xx) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('2', plain, (sk_Xp(sk_Xx) | sk_Xq1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('3', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3, X4 : $i > $o, X5, X6 : $i > $o, X7]:
0.00/0.53	      (X0(X1)
0.00/0.53	       | ~ X2(X1)
0.00/0.53	       | X2(z)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X6(X5)
0.00/0.53	       | ~ X6(X7)
0.00/0.53	       | X4(z)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('4', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xp(sk_Xx)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.53	tff('5', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X4(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X0(z)
0.00/0.53	       | sk_Xp(sk_Xx)),
0.00/0.53	    inference('simplify', [status(thm)], ['4'])).
0.00/0.53	tff('6', plain, (sk_Xp(sk_Xx) | ~ sk_Xq1(z)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('7', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (sk_Xp(sk_Xx)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['5', '6'])).
0.00/0.53	tff('8', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xp(sk_Xx)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | ~ X2(X3)
0.00/0.53	       | sk_Xp1(X3)
0.00/0.53	       | X2(z)
0.00/0.53	       | sk_Xp(sk_Xx)),
0.00/0.53	    inference('sup-', [status(thm)], ['1', '7'])).
0.00/0.53	tff('9', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.53	      (X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1) | sk_Xp(sk_Xx)),
0.00/0.53	    inference('simplify', [status(thm)], ['8'])).
0.00/0.53	tff('10', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xp(sk_Xx)
0.00/0.53	       | sk_Xp(sk_Xx)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | sk_Xp1(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['2', '9'])).
0.00/0.53	tff('11', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1) | sk_Xp(sk_Xx)),
0.00/0.53	    inference('simplify', [status(thm)], ['10'])).
0.00/0.53	tff('12', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xp(sk_Xx) | X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['11', '6'])).
0.00/0.53	tff('13', plain, (sk_Xp(sk_Xx) | ~ sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('14', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy1) | sk_Xp(sk_Xx)),
0.00/0.53	    inference('clc', [status(thm)], ['12', '13'])).
0.00/0.53	tff('15', plain, (~ $true | sk_Xp(sk_Xx) | sk_Xp(sk_Xx) | sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['1', '14'])).
0.00/0.53	tff('16', plain, (sk_Xp1(sk_Xy1) | sk_Xp(sk_Xx)),
0.00/0.53	    inference('simplify', [status(thm)], ['15'])).
0.00/0.53	tff('17', plain, sk_Xp(sk_Xx), inference('clc', [status(thm)], ['16', '13'])).
0.00/0.53	tff('18', plain, (sk_Xq(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('19', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xp1(sk_Xx1)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | sk_Xq(z)
0.00/0.53	       | X4(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['18', '3'])).
0.00/0.53	tff('20', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X4(sk_Xy)
0.00/0.53	       | sk_Xq(z)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X0(z)
0.00/0.53	       | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('simplify', [status(thm)], ['19'])).
0.00/0.53	tff('21', plain, (~ sk_Xq(z) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('22', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (sk_Xp1(sk_Xx1)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X4(sk_Xy)),
0.00/0.53	    inference('clc', [status(thm)], ['20', '21'])).
0.00/0.53	tff('23', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.53	      (~ $true
0.00/0.53	       | X0(sk_Xy)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | ~ X2(X3)
0.00/0.53	       | sk_Xp(X3)
0.00/0.53	       | X2(z)
0.00/0.53	       | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('sup-', [status(thm)], ['17', '22'])).
0.00/0.53	tff('24', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.53	      (sk_Xp1(sk_Xx1) | X2(z) | sk_Xp(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['23'])).
0.00/0.53	tff('25', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xp1(sk_Xx1)
0.00/0.53	       | X0(sk_Xy)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | sk_Xp(sk_Xy)
0.00/0.53	       | sk_Xq(z)
0.00/0.53	       | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('sup-', [status(thm)], ['18', '24'])).
0.00/0.53	tff('26', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xq(z) | sk_Xp(sk_Xy) | ~ X0(X1) | X0(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('simplify', [status(thm)], ['25'])).
0.00/0.53	tff('27', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xp1(sk_Xx1) | X0(sk_Xy) | ~ X0(X1) | sk_Xp(sk_Xy)),
0.00/0.53	    inference('clc', [status(thm)], ['26', '21'])).
0.00/0.53	tff('28', plain, (~ sk_Xp(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('29', plain,
0.00/0.53	    ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('clc', [status(thm)], ['27', '28'])).
0.00/0.53	tff('30', plain, (~ $true | sk_Xp1(sk_Xx1) | sk_Xp(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['17', '29'])).
0.00/0.53	tff('31', plain, (sk_Xp(sk_Xy) | sk_Xp1(sk_Xx1)),
0.00/0.53	    inference('simplify', [status(thm)], ['30'])).
0.00/0.53	tff('32', plain, sk_Xp1(sk_Xx1),
0.00/0.53	    inference('clc', [status(thm)], ['31', '28'])).
0.00/0.53	tff('33', plain, (sk_Xq(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('34', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xq(sk_Xy)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['33', '3'])).
0.00/0.53	tff('35', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X4(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X0(z)
0.00/0.53	       | sk_Xq(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['34'])).
0.00/0.53	tff('36', plain, (sk_Xq(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('37', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (sk_Xq(sk_Xy)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['35', '36'])).
0.00/0.53	tff('38', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.53	      (~ $true
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | ~ X2(X3)
0.00/0.53	       | sk_Xp1(X3)
0.00/0.53	       | X2(z)
0.00/0.53	       | sk_Xq(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['32', '37'])).
0.00/0.53	tff('39', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3]:
0.00/0.53	      (sk_Xq(sk_Xy) | X2(z) | sk_Xp1(X3) | ~ X2(X3) | ~ X0(X1) | X0(sk_Xy1)),
0.00/0.53	    inference('simplify', [status(thm)], ['38'])).
0.00/0.53	tff('40', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xq(sk_Xy)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | sk_Xp1(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | sk_Xq(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['33', '39'])).
0.00/0.53	tff('41', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ X0(X1) | X0(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['40'])).
0.00/0.53	tff('42', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xq(sk_Xy) | X0(sk_Xy1) | ~ X0(X1) | sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['41', '36'])).
0.00/0.53	tff('43', plain, (sk_Xq(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('44', plain, ![X0 : $i > $o, X1]: (~ X0(X1) | X0(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.53	    inference('clc', [status(thm)], ['42', '43'])).
0.00/0.53	tff('45', plain, (~ $true | sk_Xq(sk_Xy) | sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['32', '44'])).
0.00/0.53	tff('46', plain, (sk_Xp1(sk_Xy1) | sk_Xq(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['45'])).
0.00/0.53	tff('47', plain, sk_Xq(sk_Xy), inference('clc', [status(thm)], ['46', '43'])).
0.00/0.53	tff('48', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | sk_Xq(z)
0.00/0.53	       | X4(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['47', '3'])).
0.00/0.53	tff('49', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X4(sk_Xy) | sk_Xq(z) | ~ X4(X5) | ~ X0(X3) | X1(X3) | ~ X1(X2) | X0(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['48'])).
0.00/0.53	tff('50', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (~ $true
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | sk_Xq(z)
0.00/0.53	       | sk_Xp(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['17', '49'])).
0.00/0.53	tff('51', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (sk_Xp(sk_Xy) | sk_Xq(z) | ~ X0(X3) | X1(X3) | ~ X1(X2) | X0(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['50'])).
0.00/0.53	tff('52', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (~ $true | sk_Xq(z) | ~ X0(X1) | X0(sk_Xy) | sk_Xq(z) | sk_Xp(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['47', '51'])).
0.00/0.53	tff('53', plain,
0.00/0.53	    ![X0 : $i > $o, X1]: (sk_Xp(sk_Xy) | X0(sk_Xy) | ~ X0(X1) | sk_Xq(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['52'])).
0.00/0.53	tff('54', plain, (~ $true | sk_Xq(z) | sk_Xp(sk_Xy) | sk_Xp(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['17', '53'])).
0.00/0.53	tff('55', plain, (sk_Xp(sk_Xy) | sk_Xq(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['54'])).
0.00/0.53	tff('56', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | ~ sk_Xq(z)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['0', '3'])).
0.00/0.53	tff('57', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X4(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ sk_Xq(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['56'])).
0.00/0.53	tff('58', plain, (~ sk_Xq(z) | ~ sk_Xq1(z)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('59', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ sk_Xq(z)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['57', '58'])).
0.00/0.53	tff('60', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xp(sk_Xy)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | ~ X2(X3)
0.00/0.53	       | X4(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X2(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['55', '59'])).
0.00/0.53	tff('61', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X2(z)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X4(X3)
0.00/0.53	       | ~ X2(X3)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | sk_Xp(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['60'])).
0.00/0.53	tff('62', plain, (~ sk_Xp(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('63', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ $true
0.00/0.53	       | ~ sk_Xp(sk_Xy)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['62', '3'])).
0.00/0.53	tff('64', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X4(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ sk_Xp(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['63'])).
0.00/0.53	tff('65', plain, (~ sk_Xp(sk_Xy) | ~ sk_Xq1(z)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('66', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3, X4 : $i > $o, X5]:
0.00/0.53	      (~ sk_Xp(sk_Xy)
0.00/0.53	       | X0(z)
0.00/0.53	       | ~ X1(X2)
0.00/0.53	       | X1(X3)
0.00/0.53	       | ~ X0(X3)
0.00/0.53	       | ~ X4(X5)
0.00/0.53	       | X4(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['64', '65'])).
0.00/0.53	tff('67', plain,
0.00/0.53	    ![X0 : $i > $o, X1, X2 : $i > $o, X3, X4 : $i > $o, X5]:
0.00/0.53	      (X0(sk_Xy1) | ~ X0(X1) | ~ X2(X3) | X4(X3) | ~ X4(X5) | X2(z)),
0.00/0.53	    inference('clc', [status(thm)], ['61', '66'])).
0.00/0.53	tff('68', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (~ $true | X0(z) | ~ X1(X2) | X1(X3) | ~ X0(X3) | sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['32', '67'])).
0.00/0.53	tff('69', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (sk_Xp1(sk_Xy1) | ~ X0(X3) | X1(X3) | ~ X1(X2) | X0(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['68'])).
0.00/0.53	tff('70', plain, (~ sk_Xq(z) | ~ sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('71', plain, (~ $true | sk_Xp(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['55', '70'])).
0.00/0.53	tff('72', plain, (~ sk_Xp1(sk_Xy1) | sk_Xp(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['71'])).
0.00/0.53	tff('73', plain, (~ sk_Xp(sk_Xy) | ~ sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff('74', plain, ~ sk_Xp1(sk_Xy1),
0.00/0.53	    inference('clc', [status(thm)], ['72', '73'])).
0.00/0.53	tff('75', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (X0(z) | ~ X1(X2) | X1(X3) | ~ X0(X3)),
0.00/0.53	    inference('clc', [status(thm)], ['69', '74'])).
0.00/0.53	tff('76', plain,
0.00/0.53	    ![X0 : $i > $o, X1]: (~ $true | ~ X0(X1) | sk_Xp1(X1) | X0(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['32', '75'])).
0.00/0.53	tff('77', plain, ![X0 : $i > $o, X1]: (X0(z) | sk_Xp1(X1) | ~ X0(X1)),
0.00/0.53	    inference('simplify', [status(thm)], ['76'])).
0.00/0.53	tff('78', plain, (~ $true | ~ sk_Xq(z) | sk_Xp1(sk_Xy1) | sk_Xq1(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['0', '77'])).
0.00/0.53	tff('79', plain, (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['78'])).
0.00/0.53	tff('80', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (~ $true | X0(z) | ~ X1(X2) | X1(X3) | ~ X0(X3) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['47', '67'])).
0.00/0.53	tff('81', plain,
0.00/0.53	    ![X0 : $i > $o, X1 : $i > $o, X2, X3]:
0.00/0.53	      (sk_Xq(sk_Xy1) | ~ X0(X3) | X1(X3) | ~ X1(X2) | X0(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['80'])).
0.00/0.53	tff('82', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (~ $true
0.00/0.53	       | ~ sk_Xq(z)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['0', '81'])).
0.00/0.53	tff('83', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (sk_Xq(sk_Xy1) | X0(sk_Xy1) | ~ X0(X1) | sk_Xq1(z) | ~ sk_Xq(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['82'])).
0.00/0.53	tff('84', plain,
0.00/0.53	    ![X0 : $i > $o, X1]: (~ sk_Xq(z) | ~ X0(X1) | X0(sk_Xy1) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['83', '58'])).
0.00/0.53	tff('85', plain,
0.00/0.53	    (~ $true | ~ sk_Xp(sk_Xy) | sk_Xq(sk_Xy1) | sk_Xq1(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['62', '84'])).
0.00/0.53	tff('86', plain,
0.00/0.53	    (~ sk_Xq(z) | sk_Xq1(sk_Xy1) | sk_Xq(sk_Xy1) | ~ sk_Xp(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['85'])).
0.00/0.53	tff('87', plain, (~ sk_Xp(sk_Xy) | sk_Xq(sk_Xy1) | sk_Xq1(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['86', '62'])).
0.00/0.53	tff('88', plain,
0.00/0.53	    (~ $true | sk_Xp(sk_Xy) | sk_Xq(sk_Xy1) | sk_Xq(sk_Xy1) | ~ sk_Xq(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['55', '84'])).
0.00/0.53	tff('89', plain, (~ sk_Xq(z) | sk_Xq(sk_Xy1) | sk_Xp(sk_Xy)),
0.00/0.53	    inference('simplify', [status(thm)], ['88'])).
0.00/0.53	tff('90', plain, (sk_Xp(sk_Xy) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['89', '55'])).
0.00/0.53	tff('91', plain, (sk_Xq1(sk_Xy1) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('clc', [status(thm)], ['87', '90'])).
0.00/0.53	tff('92', plain,
0.00/0.53	    ![X0 : $i > $o, X1]:
0.00/0.53	      (~ $true
0.00/0.53	       | sk_Xq(sk_Xy1)
0.00/0.53	       | sk_Xq1(z)
0.00/0.53	       | ~ X0(X1)
0.00/0.53	       | X0(sk_Xy1)
0.00/0.53	       | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['91', '81'])).
0.00/0.53	tff('93', plain,
0.00/0.53	    ![X0 : $i > $o, X1]: (X0(sk_Xy1) | ~ X0(X1) | sk_Xq1(z) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('simplify', [status(thm)], ['92'])).
0.00/0.53	tff('94', plain, (~ $true | sk_Xq(sk_Xy1) | sk_Xq1(z) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('sup-', [status(thm)], ['47', '93'])).
0.00/0.53	tff('95', plain, (sk_Xq1(z) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('simplify', [status(thm)], ['94'])).
0.00/0.53	tff('96', plain, (~ $true | sk_Xq(sk_Xy1) | ~ sk_Xp(sk_Xy)),
0.00/0.53	    inference('sup-', [status(thm)], ['95', '65'])).
0.00/0.53	tff('97', plain, (~ sk_Xp(sk_Xy) | sk_Xq(sk_Xy1)),
0.00/0.53	    inference('simplify', [status(thm)], ['96'])).
0.00/0.53	tff('98', plain, sk_Xq(sk_Xy1), inference('clc', [status(thm)], ['97', '90'])).
0.00/0.53	tff('99', plain, (~ $true | sk_Xp1(sk_Xy1) | sk_Xq(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['98', '77'])).
0.00/0.53	tff('100', plain, (sk_Xq(z) | sk_Xp1(sk_Xy1)),
0.00/0.53	    inference('simplify', [status(thm)], ['99'])).
0.00/0.53	tff('101', plain, sk_Xq(z), inference('clc', [status(thm)], ['100', '74'])).
0.00/0.53	tff('102', plain, (sk_Xq1(z) | sk_Xp1(sk_Xy1) | ~ $true),
0.00/0.53	    inference('demod', [status(thm)], ['79', '101'])).
0.00/0.53	tff('103', plain, (sk_Xp1(sk_Xy1) | sk_Xq1(z)),
0.00/0.53	    inference('simplify', [status(thm)], ['102'])).
0.00/0.53	tff('104', plain, sk_Xq1(z), inference('clc', [status(thm)], ['103', '74'])).
0.00/0.53	tff('105', plain, (~ $true | ~ sk_Xq(z)),
0.00/0.53	    inference('sup-', [status(thm)], ['104', '58'])).
0.00/0.53	tff('106', plain, (~ $true | ~ $true),
0.00/0.53	    inference('demod', [status(thm)], ['105', '101'])).
0.00/0.53	tff('107', plain, $false, inference('simplify', [status(thm)], ['106'])).
0.00/0.53	
0.00/0.53	% SZS output end Refutation
0.00/0.53	EOF
