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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n109.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:05:39 CST 2018
0.00/0.41	% done 415 iterations in 0.205s
0.00/0.41	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.41	% SZS output start Refutation
0.00/0.41	tff(cTHM46A_pme, conjecture,
0.00/0.41	  (![Xx:($i > $o)]:
0.00/0.41	     ((![Xx0]: (Xx(Xx0) => (cD(Xx0) & cE(Xx0)))) <=>
0.00/0.41	      ((![Xx0]: (Xx(Xx0) => cD(Xx0))) & (![Xx0]: (Xx(Xx0) => cE(Xx0))))))).
0.00/0.41	tff(zf_stmt_0, axiom, (zip_tseitin1(Xx0,Xx) <=> (Xx(Xx0) => cD(Xx0)))).
0.00/0.41	tff('0', plain, ![X1 : $i > $o, X2]: (zip_tseitin1(X2, X1) | X1(X2)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('1', plain,
0.00/0.41	    ![X1 : $i > $o, X2, X3 : $i > $o]:
0.00/0.41	      (X3 != X1 | zip_tseitin1(X2, X1) | X3(X2)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.41	tff(zf_stmt_1, axiom, (zip_tseitin2(Xx0,Xx) <=> (Xx(Xx0) => cE(Xx0)))).
0.00/0.41	tff('2', plain, ![X1 : $i > $o, X3]: (zip_tseitin2(X3, X1) | X1(X3)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.41	tff('3', plain,
0.00/0.41	    ![X1 : $i > $o, X3, X4 : $i > $o]:
0.00/0.41	      (X4 != X1 | zip_tseitin2(X3, X1) | X4(X3)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.41	tff(zf_stmt_2, type, zip_tseitin2 : ($i * $i > $o) > $o).
0.00/0.41	tff(zf_stmt_3, type, zip_tseitin1 : ($i * $i > $o) > $o).
0.00/0.41	tff(zf_stmt_4, type, zip_tseitin0 : $i > $o).
0.00/0.41	tff(zf_stmt_5, axiom, (zip_tseitin0(Xx0) <=> (cE(Xx0) & cD(Xx0)))).
0.00/0.41	tff(zf_stmt_6, conjecture,
0.00/0.41	  (![Xx:($i > $o)]:
0.00/0.41	     ((![Xx0]: (Xx(Xx0) => zip_tseitin0(Xx0))) <=>
0.00/0.41	      ((![Xx0]: zip_tseitin2(Xx0,Xx)) & (![Xx0]: zip_tseitin1(Xx0,Xx)))))).
0.00/0.41	tff(zf_stmt_7, negated_conjecture,
0.00/0.41	  (~
0.00/0.41	    (![Xx:($i > $o)]:
0.00/0.41	       ((![Xx0]: (Xx(Xx0) => zip_tseitin0(Xx0))) <=>
0.00/0.41	        ((![Xx0]: zip_tseitin2(Xx0,Xx)) & (![Xx0]: zip_tseitin1(Xx0,Xx))))))).
0.00/0.41	tff('4', plain,
0.00/0.41	    ![X4, X5]: (zip_tseitin2(X4, sk_Xx) | ~ sk_Xx(X5) | zip_tseitin0(X5)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.41	tff('5', plain,
0.00/0.41	    (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	     | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	     | sk_Xx(sk_Xx02)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.41	tff('6', plain,
0.00/0.41	    ![X1 : $i > $o, X3]: (~ X1(X3) | cE(X3) | ~ zip_tseitin2(X3, X1)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.41	tff('7', plain,
0.00/0.41	    ![X1 : $i > $o, X3, X4 : $i > $o]:
0.00/0.41	      (X4 != X1 | ~ X1(X3) | cE(X3) | ~ zip_tseitin2(X3, X4)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['6'])).
0.00/0.41	tff('8', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx02, X0)
0.00/0.41	       | cE(sk_Xx02)
0.00/0.41	       | X0 != sk_Xx),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '7'])).
0.00/0.41	tff('9', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (X0 != sk_Xx
0.00/0.41	       | cE(sk_Xx02)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx02, X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['8'])).
0.00/0.41	tff('10', plain,
0.00/0.41	    (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	     | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	     | ~ zip_tseitin0(sk_Xx02)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.41	tff('11', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ sk_Xx(sk_Xx02)
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '10'])).
0.00/0.41	tff('12', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ sk_Xx(sk_Xx02)),
0.00/0.41	    inference('simplify', [status(thm)], ['11'])).
0.00/0.41	tff('13', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('clc', [status(thm)], ['12', '5'])).
0.00/0.41	tff('14', plain,
0.00/0.41	    ![X0, X1 : $i > $o]:
0.00/0.41	      (~ $true
0.00/0.41	       | X1(sk_Xx01)
0.00/0.41	       | X1 != sk_Xx
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['3', '13'])).
0.00/0.41	tff('15', plain,
0.00/0.41	    ![X0, X1 : $i > $o]:
0.00/0.41	      (zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | X1 != sk_Xx
0.00/0.41	       | X1(sk_Xx01)),
0.00/0.41	    inference('simplify', [status(thm)], ['14'])).
0.00/0.41	tff('16', plain,
0.00/0.41	    ![X0, X1 : $i > $o, X2 : $i > $o]:
0.00/0.41	      (X2 != X1
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | X1 != sk_Xx
0.00/0.41	       | X2(sk_Xx01)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
0.00/0.41	tff('17', plain, ![X0]: (cE(X0) | ~ zip_tseitin0(X0)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.41	tff('18', plain, ![X1 : $i > $o, X3]: (zip_tseitin2(X3, X1) | ~ cE(X3)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.41	tff('19', plain,
0.00/0.41	    ![X0, X1 : $i > $o]:
0.00/0.41	      (~ $true | ~ zip_tseitin0(X0) | zip_tseitin2(X0, X1)),
0.00/0.41	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.41	tff('20', plain,
0.00/0.41	    ![X0, X1 : $i > $o]: (zip_tseitin2(X0, X1) | ~ zip_tseitin0(X0)),
0.00/0.41	    inference('simplify', [status(thm)], ['19'])).
0.00/0.41	tff('21', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ zip_tseitin0(sk_Xx01)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['20', '13'])).
0.00/0.41	tff('22', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin0(sk_Xx01)),
0.00/0.41	    inference('simplify', [status(thm)], ['21'])).
0.00/0.41	tff('23', plain,
0.00/0.41	    ![X0, X1]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ sk_Xx(sk_Xx01)
0.00/0.41	       | zip_tseitin2(X1, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '22'])).
0.00/0.41	tff('24', plain,
0.00/0.41	    ![X0, X1]:
0.00/0.41	      (zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X1, sk_Xx)
0.00/0.41	       | ~ sk_Xx(sk_Xx01)),
0.00/0.41	    inference('simplify', [status(thm)], ['23'])).
0.00/0.41	tff('25', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (~ sk_Xx(sk_Xx01)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)),
0.00/0.41	    inference('condensation', [status(thm)], ['24'])).
0.00/0.41	tff('26', plain,
0.00/0.41	    ![X0, X1 : $i > $o, X2]:
0.00/0.41	      (~ $true
0.00/0.41	       | X1 != sk_Xx
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X2, sk_Xx)
0.00/0.41	       | sk_Xx != X1
0.00/0.41	       | zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['16', '25'])).
0.00/0.41	tff('27', plain,
0.00/0.41	    ![X0, X1 : $i > $o, X2]:
0.00/0.41	      (zip_tseitin2(X0, sk_Xx)
0.00/0.41	       | zip_tseitin2(X2, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | X1 != sk_Xx),
0.00/0.41	    inference('simplify', [status(thm)], ['26'])).
0.00/0.41	tff('28', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (X0 != sk_Xx | zip_tseitin2(X1, sk_Xx) | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('condensation', [status(thm)], ['27'])).
0.00/0.41	tff('29', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx02, X0)
0.00/0.41	       | cE(sk_Xx02)
0.00/0.41	       | X0 != sk_Xx),
0.00/0.41	    inference('clc', [status(thm)], ['9', '28'])).
0.00/0.41	tff('30', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (~ $true
0.00/0.41	       | X1 != sk_Xx
0.00/0.41	       | ~ zip_tseitin2(sk_Xx02, X1)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(sk_Xx02, X0)),
0.00/0.41	    inference('sup-', [status(thm)], ['29', '18'])).
0.00/0.41	tff('31', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (zip_tseitin2(sk_Xx02, X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx02, X1)
0.00/0.41	       | X1 != sk_Xx),
0.00/0.41	    inference('simplify', [status(thm)], ['30'])).
0.00/0.41	tff('32', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ $true
0.00/0.41	       | zip_tseitin0(X1)
0.00/0.41	       | ~ sk_Xx(X1)
0.00/0.41	       | sk_Xx != sk_Xx
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin2(sk_Xx02, X0)),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '31'])).
0.00/0.41	tff('33', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (zip_tseitin2(sk_Xx02, X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ sk_Xx(X1)
0.00/0.41	       | zip_tseitin0(X1)),
0.00/0.41	    inference('simplify', [status(thm)], ['32'])).
0.00/0.41	tff('34', plain,
0.00/0.41	    ![X5, X6]: (zip_tseitin1(X6, sk_Xx) | ~ sk_Xx(X5) | zip_tseitin0(X5)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.41	tff('35', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (zip_tseitin0(X1) | ~ sk_Xx(X1) | zip_tseitin2(sk_Xx02, X0)),
0.00/0.41	    inference('clc', [status(thm)], ['33', '34'])).
0.00/0.41	tff('36', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ sk_Xx(X1)
0.00/0.41	       | zip_tseitin0(X1)
0.00/0.41	       | X0 != sk_Xx
0.00/0.41	       | cE(sk_Xx02)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['35', '29'])).
0.00/0.41	tff('37', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | cE(sk_Xx02)
0.00/0.41	       | X0 != sk_Xx
0.00/0.41	       | zip_tseitin0(X1)
0.00/0.41	       | ~ sk_Xx(X1)),
0.00/0.41	    inference('simplify', [status(thm)], ['36'])).
0.00/0.41	tff('38', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ sk_Xx(X1) | zip_tseitin0(X1) | X0 != sk_Xx | cE(sk_Xx02)),
0.00/0.41	    inference('clc', [status(thm)], ['37', '34'])).
0.00/0.41	tff('39', plain, ![X0]: (cE(sk_Xx02) | zip_tseitin0(X0) | ~ sk_Xx(X0)),
0.00/0.41	    inference('eq_res', [status(thm)], ['38'])).
0.00/0.41	tff('40', plain, ![X0]: (zip_tseitin0(X0) | ~ cD(X0) | ~ cE(X0)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.41	tff('41', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ sk_Xx(X0)
0.00/0.41	       | zip_tseitin0(X0)
0.00/0.41	       | ~ cD(sk_Xx02)
0.00/0.41	       | zip_tseitin0(sk_Xx02)),
0.00/0.41	    inference('sup-', [status(thm)], ['39', '40'])).
0.00/0.41	tff('42', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (zip_tseitin0(sk_Xx02) | ~ cD(sk_Xx02) | zip_tseitin0(X0) | ~ sk_Xx(X0)),
0.00/0.41	    inference('simplify', [status(thm)], ['41'])).
0.00/0.41	tff('43', plain,
0.00/0.41	    ![X1 : $i > $o, X2]: (~ X1(X2) | cD(X2) | ~ zip_tseitin1(X2, X1)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('44', plain,
0.00/0.41	    ![X1 : $i > $o, X2, X3 : $i > $o]:
0.00/0.41	      (X3 != X1 | ~ X1(X2) | cD(X2) | ~ zip_tseitin1(X2, X3)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['43'])).
0.00/0.41	tff('45', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx02, X0)
0.00/0.41	       | cD(sk_Xx02)
0.00/0.41	       | X0 != sk_Xx),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '44'])).
0.00/0.41	tff('46', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (X0 != sk_Xx
0.00/0.41	       | cD(sk_Xx02)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx02, X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin2(sk_Xx01, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['45'])).
0.00/0.41	tff('47', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx02, X0)
0.00/0.41	       | cD(sk_Xx02)
0.00/0.41	       | X0 != sk_Xx),
0.00/0.41	    inference('clc', [status(thm)], ['46', '28'])).
0.00/0.41	tff('48', plain, ![X1 : $i > $o, X2]: (zip_tseitin1(X2, X1) | ~ cD(X2)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('49', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (~ $true
0.00/0.41	       | X1 != sk_Xx
0.00/0.41	       | ~ zip_tseitin1(sk_Xx02, X1)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin1(sk_Xx02, X0)),
0.00/0.41	    inference('sup-', [status(thm)], ['47', '48'])).
0.00/0.41	tff('50', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (zip_tseitin1(sk_Xx02, X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx02, X1)
0.00/0.41	       | X1 != sk_Xx),
0.00/0.41	    inference('simplify', [status(thm)], ['49'])).
0.00/0.41	tff('51', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ $true
0.00/0.41	       | zip_tseitin0(X1)
0.00/0.41	       | ~ sk_Xx(X1)
0.00/0.41	       | sk_Xx != sk_Xx
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | zip_tseitin1(sk_Xx02, X0)),
0.00/0.41	    inference('sup-', [status(thm)], ['34', '50'])).
0.00/0.41	tff('52', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (zip_tseitin1(sk_Xx02, X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | ~ sk_Xx(X1)
0.00/0.41	       | zip_tseitin0(X1)),
0.00/0.41	    inference('simplify', [status(thm)], ['51'])).
0.00/0.41	tff('53', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (zip_tseitin0(X1) | ~ sk_Xx(X1) | zip_tseitin1(sk_Xx02, X0)),
0.00/0.41	    inference('clc', [status(thm)], ['52', '34'])).
0.00/0.41	tff('54', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ $true
0.00/0.41	       | ~ sk_Xx(X1)
0.00/0.41	       | zip_tseitin0(X1)
0.00/0.41	       | X0 != sk_Xx
0.00/0.41	       | cD(sk_Xx02)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['53', '47'])).
0.00/0.41	tff('55', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | cD(sk_Xx02)
0.00/0.41	       | X0 != sk_Xx
0.00/0.41	       | zip_tseitin0(X1)
0.00/0.41	       | ~ sk_Xx(X1)),
0.00/0.41	    inference('simplify', [status(thm)], ['54'])).
0.00/0.41	tff('56', plain,
0.00/0.41	    ![X0 : $i > $o, X1]:
0.00/0.41	      (~ sk_Xx(X1) | zip_tseitin0(X1) | X0 != sk_Xx | cD(sk_Xx02)),
0.00/0.41	    inference('clc', [status(thm)], ['55', '34'])).
0.00/0.41	tff('57', plain, ![X0]: (cD(sk_Xx02) | zip_tseitin0(X0) | ~ sk_Xx(X0)),
0.00/0.41	    inference('eq_res', [status(thm)], ['56'])).
0.00/0.41	tff('58', plain,
0.00/0.41	    ![X0]: (~ sk_Xx(X0) | zip_tseitin0(X0) | zip_tseitin0(sk_Xx02)),
0.00/0.41	    inference('clc', [status(thm)], ['42', '57'])).
0.00/0.41	tff('59', plain, (~ $true | zip_tseitin0(sk_Xx02) | ~ sk_Xx(sk_Xx02)),
0.00/0.41	    inference('eq_fact', [status(thm)], ['58'])).
0.00/0.41	tff('60', plain, (~ sk_Xx(sk_Xx02) | zip_tseitin0(sk_Xx02)),
0.00/0.41	    inference('simplify', [status(thm)], ['59'])).
0.00/0.41	tff('61', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ sk_Xx(sk_Xx02)
0.00/0.41	     | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	     | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['60', '10'])).
0.00/0.41	tff('62', plain,
0.00/0.41	    (~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	     | ~ zip_tseitin2(sk_Xx01, sk_Xx)
0.00/0.41	     | ~ sk_Xx(sk_Xx02)),
0.00/0.41	    inference('simplify', [status(thm)], ['61'])).
0.00/0.41	tff('63', plain,
0.00/0.41	    (~ zip_tseitin2(sk_Xx01, sk_Xx) | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('clc', [status(thm)], ['62', '5'])).
0.00/0.41	tff('64', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ $true | X0(sk_Xx01) | X0 != sk_Xx | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['3', '63'])).
0.00/0.41	tff('65', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ zip_tseitin1(sk_Xx0, sk_Xx) | X0 != sk_Xx | X0(sk_Xx01)),
0.00/0.41	    inference('simplify', [status(thm)], ['64'])).
0.00/0.41	tff('66', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (X1 != X0 | ~ zip_tseitin1(sk_Xx0, sk_Xx) | X0 != sk_Xx | X1(sk_Xx01)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['65'])).
0.00/0.41	tff('67', plain,
0.00/0.41	    ![X0]:
0.00/0.41	      (~ $true
0.00/0.41	       | zip_tseitin0(X0)
0.00/0.41	       | ~ sk_Xx(X0)
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '63'])).
0.00/0.41	tff('68', plain,
0.00/0.41	    ![X0]: (~ zip_tseitin1(sk_Xx0, sk_Xx) | ~ sk_Xx(X0) | zip_tseitin0(X0)),
0.00/0.41	    inference('simplify', [status(thm)], ['67'])).
0.00/0.41	tff('69', plain, ![X0]: (zip_tseitin0(X0) | ~ sk_Xx(X0)),
0.00/0.41	    inference('clc', [status(thm)], ['68', '34'])).
0.00/0.41	tff('70', plain,
0.00/0.41	    (~ $true | ~ zip_tseitin0(sk_Xx01) | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['20', '63'])).
0.00/0.41	tff('71', plain, (~ zip_tseitin1(sk_Xx0, sk_Xx) | ~ zip_tseitin0(sk_Xx01)),
0.00/0.41	    inference('simplify', [status(thm)], ['70'])).
0.00/0.41	tff('72', plain,
0.00/0.41	    (~ $true | ~ sk_Xx(sk_Xx01) | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['69', '71'])).
0.00/0.41	tff('73', plain, (~ zip_tseitin1(sk_Xx0, sk_Xx) | ~ sk_Xx(sk_Xx01)),
0.00/0.41	    inference('simplify', [status(thm)], ['72'])).
0.00/0.41	tff('74', plain,
0.00/0.41	    ![X0 : $i > $o]:
0.00/0.41	      (~ $true
0.00/0.41	       | X0 != sk_Xx
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)
0.00/0.41	       | sk_Xx != X0
0.00/0.41	       | ~ zip_tseitin1(sk_Xx0, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['66', '73'])).
0.00/0.41	tff('75', plain,
0.00/0.41	    ![X0 : $i > $o]: (~ zip_tseitin1(sk_Xx0, sk_Xx) | X0 != sk_Xx),
0.00/0.41	    inference('simplify', [status(thm)], ['74'])).
0.00/0.41	tff('76', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (~ $true | X1(sk_Xx0) | X1 != sk_Xx | X0 != sk_Xx),
0.00/0.41	    inference('sup-', [status(thm)], ['1', '75'])).
0.00/0.41	tff('77', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]: (X0 != sk_Xx | X1 != sk_Xx | X1(sk_Xx0)),
0.00/0.41	    inference('simplify', [status(thm)], ['76'])).
0.00/0.41	tff('78', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o, X2 : $i > $o]:
0.00/0.41	      (X2 != X1 | X0 != sk_Xx | X1 != sk_Xx | X2(sk_Xx0)),
0.00/0.41	    inference('ho.purify_applied_variable', [status(thm)], ['77'])).
0.00/0.41	tff('79', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]: (X0 != X1 | X0(sk_Xx0) | X1 != sk_Xx),
0.00/0.41	    inference('condensation', [status(thm)], ['78'])).
0.00/0.41	tff('80', plain, ![X0]: (cD(X0) | ~ zip_tseitin0(X0)),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.41	tff('81', plain,
0.00/0.41	    ![X0, X1 : $i > $o]:
0.00/0.41	      (~ $true | ~ zip_tseitin0(X0) | zip_tseitin1(X0, X1)),
0.00/0.41	    inference('sup-', [status(thm)], ['80', '48'])).
0.00/0.41	tff('82', plain,
0.00/0.41	    ![X0, X1 : $i > $o]: (zip_tseitin1(X0, X1) | ~ zip_tseitin0(X0)),
0.00/0.41	    inference('simplify', [status(thm)], ['81'])).
0.00/0.41	tff('83', plain,
0.00/0.41	    ![X0 : $i > $o]: (~ $true | ~ zip_tseitin0(sk_Xx0) | X0 != sk_Xx),
0.00/0.41	    inference('sup-', [status(thm)], ['82', '75'])).
0.00/0.41	tff('84', plain, ![X0 : $i > $o]: (X0 != sk_Xx | ~ zip_tseitin0(sk_Xx0)),
0.00/0.41	    inference('simplify', [status(thm)], ['83'])).
0.00/0.41	tff('85', plain, ![X0 : $i > $o]: (~ $true | ~ sk_Xx(sk_Xx0) | X0 != sk_Xx),
0.00/0.41	    inference('sup-', [status(thm)], ['69', '84'])).
0.00/0.41	tff('86', plain, ![X0 : $i > $o]: (X0 != sk_Xx | ~ sk_Xx(sk_Xx0)),
0.00/0.41	    inference('simplify', [status(thm)], ['85'])).
0.00/0.41	tff('87', plain,
0.00/0.41	    ![X0 : $i > $o, X1 : $i > $o]:
0.00/0.41	      (~ $true | X1 != sk_Xx | sk_Xx != X1 | X0 != sk_Xx),
0.00/0.41	    inference('sup-', [status(thm)], ['79', '86'])).
0.00/0.41	tff('88', plain, ![X0 : $i > $o, X1 : $i > $o]: (X0 != sk_Xx | X1 != sk_Xx),
0.00/0.41	    inference('simplify', [status(thm)], ['87'])).
0.00/0.41	tff('89', plain, ![X0 : $i > $o]: X0 != sk_Xx,
0.00/0.41	    inference('condensation', [status(thm)], ['88'])).
0.00/0.41	tff('90', plain, $false, inference('eq_res', [status(thm)], ['89'])).
0.00/0.41	
0.00/0.41	% SZS output end Refutation
0.00/0.41	EOF
