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    : fo
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-ho \
0.00/0.00	  --no-avatar \
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	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n091.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 17:10:25 CST 2018
0.00/0.24	% done 136 iterations in 0.035s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(cBOOL_PROP_100_pme, conjecture,
0.00/0.24	  (![X:(a > $o),Y:(a > $o),Z:(a > $o)]:
0.00/0.24	     ((?[Xx:a]: (X(Xx) & (Y(Xx) | Z(Xx)))) <=>
0.00/0.24	      ((?[Xx:a]: (X(Xx) & Y(Xx))) | (?[Xx:a]: (X(Xx) & Z(Xx))))))).
0.00/0.24	tff(zf_stmt_0, type, zip_tseitin2 : (a * a > $o * a > $o) > $o).
0.00/0.24	tff(zf_stmt_1, axiom, (zip_tseitin2(Xx,Z,X) <=> (Z(Xx) & X(Xx)))).
0.00/0.24	tff(zf_stmt_2, type, zip_tseitin1 : (a * a > $o * a > $o) > $o).
0.00/0.24	tff(zf_stmt_3, axiom, (zip_tseitin1(Xx,Y,X) <=> (Y(Xx) & X(Xx)))).
0.00/0.24	tff(zf_stmt_4, type, zip_tseitin0 : (a * a > $o * a > $o) > $o).
0.00/0.24	tff(zf_stmt_5, axiom, (zip_tseitin0(Xx,Z,Y) <=> (Z(Xx) | Y(Xx)))).
0.00/0.24	tff(zf_stmt_6, conjecture,
0.00/0.24	  (![X:(a > $o),Y:(a > $o),Z:(a > $o)]:
0.00/0.24	     ((?[Xx:a]: (zip_tseitin0(Xx,Z,Y) & X(Xx))) <=>
0.00/0.24	      ((?[Xx:a]: zip_tseitin2(Xx,Z,X)) | (?[Xx:a]: zip_tseitin1(Xx,Y,X)))))).
0.00/0.24	tff(zf_stmt_7, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![X:(a > $o),Y:(a > $o),Z:(a > $o)]:
0.00/0.24	       ((?[Xx:a]: (zip_tseitin0(Xx,Z,Y) & X(Xx))) <=>
0.00/0.24	        ((?[Xx:a]: zip_tseitin2(Xx,Z,X)) | (?[Xx:a]: zip_tseitin1(Xx,Y,X))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    (zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X2 : a > $o, X4 : a > $o, X5 : a]:
0.00/0.24	      (X2(X5) | ~ zip_tseitin2(X5, X2, X4)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('2', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	     | sk_Z(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    (sk_Z(sk_Xx1)
0.00/0.24	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.24	      (X4(X3) | ~ zip_tseitin1(X3, X0, X4)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.24	tff('5', plain,
0.00/0.24	    (~ $true | zip_tseitin0(sk_Xx2, sk_Z, sk_Y) | sk_Z(sk_Xx1) | sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    (sk_X(sk_Xx) | sk_Z(sk_Xx1) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.24	      (X0(X1) | X2(X1) | ~ zip_tseitin0(X1, X2, X0)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('8', plain,
0.00/0.24	    (~ $true | sk_Z(sk_Xx1) | sk_X(sk_Xx) | sk_Z(sk_Xx2) | sk_Y(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.24	tff('9', plain, (sk_Y(sk_Xx2) | sk_Z(sk_Xx2) | sk_X(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X2 : a > $o, X4 : a > $o, X5 : a]:
0.00/0.24	      (zip_tseitin2(X5, X2, X4) | ~ X4(X5) | ~ X2(X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X6 : a, X7 : a]:
0.00/0.24	      (~ zip_tseitin2(X6, sk_Z, sk_X)
0.00/0.24	       | ~ sk_X(X7)
0.00/0.24	       | ~ zip_tseitin0(X7, sk_Z, sk_Y)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : a, X1 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ sk_Z(X0)
0.00/0.24	       | ~ sk_X(X0)
0.00/0.24	       | ~ zip_tseitin0(X1, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_X(X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : a, X1 : a]:
0.00/0.24	      (~ sk_X(X1) | ~ zip_tseitin0(X1, sk_Z, sk_Y) | ~ sk_X(X0) | ~ sk_Z(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_Z(sk_Xx1)
0.00/0.24	       | sk_X(sk_Xx)
0.00/0.24	       | ~ sk_Z(X0)
0.00/0.24	       | ~ sk_X(X0)
0.00/0.24	       | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(sk_Xx2) | ~ sk_X(X0) | ~ sk_Z(X0) | sk_X(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    (zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
0.00/0.24	     | sk_X(sk_Xx2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('17', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx2) | zip_tseitin1(sk_Xx, sk_Y, sk_X) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '1'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    (sk_Z(sk_Xx1) | zip_tseitin1(sk_Xx, sk_Y, sk_X) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['17'])).
0.00/0.24	tff('19', plain, (~ $true | sk_X(sk_Xx2) | sk_Z(sk_Xx1) | sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '4'])).
0.00/0.24	tff('20', plain, (sk_X(sk_Xx) | sk_Z(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.24	      (zip_tseitin0(X1, X2, X0) | ~ X2(X1)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_X(sk_Xx2)
0.00/0.24	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '11'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	       | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X7 : a, X8 : a]:
0.00/0.24	      (~ zip_tseitin1(X8, sk_Y, sk_X)
0.00/0.24	       | ~ sk_X(X7)
0.00/0.24	       | ~ zip_tseitin0(X7, sk_Z, sk_Y)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X0 : a]: (sk_X(sk_Xx2) | ~ zip_tseitin0(X0, sk_Z, sk_Y) | ~ sk_X(X0)),
0.00/0.24	    inference('clc', [status(thm)], ['23', '24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X0 : a]: (~ $true | ~ sk_Z(X0) | ~ sk_X(X0) | sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['21', '25'])).
0.00/0.24	tff('27', plain, ![X0 : a]: (sk_X(sk_Xx2) | ~ sk_X(X0) | ~ sk_Z(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx2) | sk_X(sk_Xx) | ~ sk_X(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['20', '27'])).
0.00/0.24	tff('29', plain, (~ sk_X(sk_Xx1) | sk_X(sk_Xx) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X2 : a > $o, X4 : a > $o, X5 : a]:
0.00/0.24	      (X4(X5) | ~ zip_tseitin2(X5, X2, X4)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx2) | zip_tseitin1(sk_Xx, sk_Y, sk_X) | sk_X(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    (sk_X(sk_Xx1) | zip_tseitin1(sk_Xx, sk_Y, sk_X) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.24	      (X0(X3) | ~ zip_tseitin1(X3, X0, X4)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.24	tff('34', plain, (~ $true | sk_X(sk_Xx2) | sk_X(sk_Xx1) | sk_Y(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['32', '33'])).
0.00/0.24	tff('35', plain, (sk_Y(sk_Xx) | sk_X(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.24	      (zip_tseitin0(X1, X2, X0) | ~ X0(X1)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_X(sk_Xx2)
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['32', '24'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['37'])).
0.00/0.24	tff('39', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | ~ sk_Y(X0) | sk_X(sk_Xx2) | sk_X(sk_Xx1) | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ![X0 : a]: (~ sk_X(X0) | sk_X(sk_Xx1) | sk_X(sk_Xx2) | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['39'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx2)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_X(sk_Xx2)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | ~ sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['35', '40'])).
0.00/0.24	tff('42', plain, (~ sk_X(sk_Xx) | sk_X(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['41'])).
0.00/0.24	tff('43', plain, (~ $true | sk_X(sk_Xx2) | sk_X(sk_Xx1) | sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['32', '4'])).
0.00/0.24	tff('44', plain, (sk_X(sk_Xx) | sk_X(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['43'])).
0.00/0.24	tff('45', plain, (sk_X(sk_Xx2) | sk_X(sk_Xx1)),
0.00/0.24	    inference('clc', [status(thm)], ['42', '44'])).
0.00/0.24	tff('46', plain, (sk_X(sk_Xx2) | sk_X(sk_Xx)),
0.00/0.24	    inference('clc', [status(thm)], ['29', '45'])).
0.00/0.24	tff('47', plain, (~ $true | sk_X(sk_Xx2) | sk_Z(sk_Xx1) | sk_Y(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '33'])).
0.00/0.24	tff('48', plain, (sk_Y(sk_Xx) | sk_Z(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['47'])).
0.00/0.24	tff('49', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx2) | sk_Y(sk_Xx) | ~ sk_X(sk_Xx1) | sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['48', '27'])).
0.00/0.24	tff('50', plain, (~ sk_X(sk_Xx1) | sk_Y(sk_Xx) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['49'])).
0.00/0.24	tff('51', plain, (sk_X(sk_Xx2) | sk_Y(sk_Xx)),
0.00/0.24	    inference('clc', [status(thm)], ['50', '45'])).
0.00/0.24	tff('52', plain,
0.00/0.24	    ![X0 : a]: (~ $true | ~ sk_Y(X0) | ~ sk_X(X0) | sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '25'])).
0.00/0.24	tff('53', plain, ![X0 : a]: (sk_X(sk_Xx2) | ~ sk_X(X0) | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['52'])).
0.00/0.24	tff('54', plain, (~ $true | sk_X(sk_Xx2) | ~ sk_X(sk_Xx) | sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['51', '53'])).
0.00/0.24	tff('55', plain, (~ sk_X(sk_Xx) | sk_X(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['54'])).
0.00/0.24	tff('56', plain, sk_X(sk_Xx2), inference('clc', [status(thm)], ['46', '55'])).
0.00/0.24	tff('57', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | ~ sk_X(X0) | ~ sk_Z(X0) | sk_X(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('demod', [status(thm)], ['15', '56'])).
0.00/0.24	tff('58', plain,
0.00/0.24	    ![X0 : a]: (sk_Z(sk_Xx1) | sk_X(sk_Xx) | ~ sk_Z(X0) | ~ sk_X(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['57'])).
0.00/0.24	tff('59', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Z(sk_Xx1)
0.00/0.24	     | sk_X(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ sk_X(sk_Xx2)
0.00/0.24	     | sk_X(sk_Xx)
0.00/0.24	     | sk_Z(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['9', '58'])).
0.00/0.24	tff('60', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Z(sk_Xx1)
0.00/0.24	     | sk_X(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ $true
0.00/0.24	     | sk_X(sk_Xx)
0.00/0.24	     | sk_Z(sk_Xx1)),
0.00/0.24	    inference('demod', [status(thm)], ['59', '56'])).
0.00/0.24	tff('61', plain, (sk_Y(sk_Xx2) | sk_X(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['60'])).
0.00/0.24	tff('62', plain,
0.00/0.24	    (~ $true | zip_tseitin0(sk_Xx2, sk_Z, sk_Y) | sk_Z(sk_Xx1) | sk_Y(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '33'])).
0.00/0.24	tff('63', plain,
0.00/0.24	    (sk_Y(sk_Xx) | sk_Z(sk_Xx1) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['62'])).
0.00/0.24	tff('64', plain,
0.00/0.24	    (~ $true | sk_Z(sk_Xx1) | sk_Y(sk_Xx) | sk_Z(sk_Xx2) | sk_Y(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['63', '7'])).
0.00/0.24	tff('65', plain, (sk_Y(sk_Xx2) | sk_Z(sk_Xx2) | sk_Y(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['64'])).
0.00/0.24	tff('66', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_Z(sk_Xx1)
0.00/0.24	       | sk_Y(sk_Xx)
0.00/0.24	       | ~ sk_Z(X0)
0.00/0.24	       | ~ sk_X(X0)
0.00/0.24	       | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['63', '13'])).
0.00/0.24	tff('67', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(sk_Xx2) | ~ sk_X(X0) | ~ sk_Z(X0) | sk_Y(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['66'])).
0.00/0.24	tff('68', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | ~ sk_X(X0) | ~ sk_Z(X0) | sk_Y(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('demod', [status(thm)], ['67', '56'])).
0.00/0.24	tff('69', plain,
0.00/0.24	    ![X0 : a]: (sk_Z(sk_Xx1) | sk_Y(sk_Xx) | ~ sk_Z(X0) | ~ sk_X(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['68'])).
0.00/0.24	tff('70', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Z(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ sk_X(sk_Xx2)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Z(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['65', '69'])).
0.00/0.24	tff('71', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Z(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ $true
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Z(sk_Xx1)),
0.00/0.24	    inference('demod', [status(thm)], ['70', '56'])).
0.00/0.24	tff('72', plain, (sk_Y(sk_Xx2) | sk_Y(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['71'])).
0.00/0.24	tff('73', plain,
0.00/0.24	    ![X0 : a, X1 : a]:
0.00/0.24	      (~ $true | ~ sk_Z(X0) | ~ sk_Z(X1) | ~ sk_X(X1) | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['21', '13'])).
0.00/0.24	tff('74', plain,
0.00/0.24	    ![X0 : a, X1 : a]: (~ sk_X(X0) | ~ sk_X(X1) | ~ sk_Z(X1) | ~ sk_Z(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['73'])).
0.00/0.24	tff('75', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_Y(sk_Xx)
0.00/0.24	       | sk_Y(sk_Xx2)
0.00/0.24	       | ~ sk_Z(X0)
0.00/0.24	       | ~ sk_X(sk_Xx1)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['72', '74'])).
0.00/0.24	tff('76', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0) | ~ sk_X(sk_Xx1) | ~ sk_Z(X0) | sk_Y(sk_Xx2) | sk_Y(sk_Xx)),
0.00/0.24	    inference('simplify', [status(thm)], ['75'])).
0.00/0.24	tff('77', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	     | sk_X(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '30'])).
0.00/0.24	tff('78', plain,
0.00/0.24	    (sk_X(sk_Xx1)
0.00/0.24	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['77'])).
0.00/0.24	tff('79', plain,
0.00/0.24	    (~ $true | zip_tseitin0(sk_Xx2, sk_Z, sk_Y) | sk_X(sk_Xx1) | sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['78', '4'])).
0.00/0.24	tff('80', plain,
0.00/0.24	    (sk_X(sk_Xx) | sk_X(sk_Xx1) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['79'])).
0.00/0.24	tff('81', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx1) | sk_X(sk_Xx) | sk_Z(sk_Xx2) | sk_Y(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['80', '7'])).
0.00/0.24	tff('82', plain, (sk_Y(sk_Xx2) | sk_Z(sk_Xx2) | sk_X(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['81'])).
0.00/0.24	tff('83', plain,
0.00/0.24	    (~ $true | zip_tseitin0(sk_Xx2, sk_Z, sk_Y) | sk_X(sk_Xx1) | sk_Y(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['78', '33'])).
0.00/0.24	tff('84', plain,
0.00/0.24	    (sk_Y(sk_Xx) | sk_X(sk_Xx1) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['83'])).
0.00/0.24	tff('85', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx1) | sk_Y(sk_Xx) | sk_Z(sk_Xx2) | sk_Y(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['84', '7'])).
0.00/0.24	tff('86', plain, (sk_Y(sk_Xx2) | sk_Z(sk_Xx2) | sk_Y(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['85'])).
0.00/0.24	tff('87', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | sk_Y(sk_Xx)
0.00/0.24	       | ~ sk_Z(X0)
0.00/0.24	       | ~ sk_X(X0)
0.00/0.24	       | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['84', '13'])).
0.00/0.24	tff('88', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(sk_Xx2) | ~ sk_X(X0) | ~ sk_Z(X0) | sk_Y(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['87'])).
0.00/0.24	tff('89', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | ~ sk_X(X0) | ~ sk_Z(X0) | sk_Y(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('demod', [status(thm)], ['88', '56'])).
0.00/0.24	tff('90', plain,
0.00/0.24	    ![X0 : a]: (sk_X(sk_Xx1) | sk_Y(sk_Xx) | ~ sk_Z(X0) | ~ sk_X(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['89'])).
0.00/0.24	tff('91', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ sk_X(sk_Xx2)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_X(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['86', '90'])).
0.00/0.24	tff('92', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ $true
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_X(sk_Xx1)),
0.00/0.24	    inference('demod', [status(thm)], ['91', '56'])).
0.00/0.24	tff('93', plain, (sk_Y(sk_Xx2) | sk_Y(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['92'])).
0.00/0.24	tff('94', plain,
0.00/0.24	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.24	      (zip_tseitin1(X3, X0, X4) | ~ X4(X3) | ~ X0(X3)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.24	tff('95', plain,
0.00/0.24	    ![X0 : a, X1 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ sk_Y(X0)
0.00/0.24	       | ~ sk_X(X0)
0.00/0.24	       | ~ zip_tseitin0(X1, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_X(X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['94', '24'])).
0.00/0.24	tff('96', plain,
0.00/0.24	    ![X0 : a, X1 : a]:
0.00/0.24	      (~ sk_X(X1) | ~ zip_tseitin0(X1, sk_Z, sk_Y) | ~ sk_X(X0) | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['95'])).
0.00/0.24	tff('97', plain,
0.00/0.24	    ![X0 : a, X1 : a]:
0.00/0.24	      (~ $true | ~ sk_Y(X0) | ~ sk_Y(X1) | ~ sk_X(X1) | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '96'])).
0.00/0.24	tff('98', plain,
0.00/0.24	    ![X0 : a, X1 : a]: (~ sk_X(X0) | ~ sk_X(X1) | ~ sk_Y(X1) | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['97'])).
0.00/0.24	tff('99', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | sk_Y(sk_Xx)
0.00/0.24	       | ~ sk_Y(X0)
0.00/0.24	       | ~ sk_X(sk_Xx2)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['93', '98'])).
0.00/0.24	tff('100', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | sk_Y(sk_Xx)
0.00/0.24	       | ~ sk_Y(X0)
0.00/0.24	       | ~ $true
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('demod', [status(thm)], ['99', '56'])).
0.00/0.24	tff('101', plain,
0.00/0.24	    ![X0 : a]: (~ sk_X(X0) | ~ sk_Y(X0) | sk_Y(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['100'])).
0.00/0.24	tff('102', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['93', '101'])).
0.00/0.24	tff('103', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['102', '56'])).
0.00/0.24	tff('104', plain, (sk_Y(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['103'])).
0.00/0.24	tff('105', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['78', '24'])).
0.00/0.24	tff('106', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['105'])).
0.00/0.24	tff('107', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ sk_Y(X0)
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '106'])).
0.00/0.24	tff('108', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0)
0.00/0.24	       | sk_X(sk_Xx1)
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['107'])).
0.00/0.24	tff('109', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | ~ sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['104', '108'])).
0.00/0.24	tff('110', plain,
0.00/0.24	    (~ sk_X(sk_Xx) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['109'])).
0.00/0.24	tff('111', plain, (sk_X(sk_Xx1) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('clc', [status(thm)], ['110', '80'])).
0.00/0.24	tff('112', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | sk_X(sk_Xx1) | ~ sk_Z(X0) | ~ sk_X(X0) | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['111', '13'])).
0.00/0.24	tff('113', plain,
0.00/0.24	    ![X0 : a]: (~ $true | sk_X(sk_Xx1) | ~ sk_Z(X0) | ~ sk_X(X0) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['112', '56'])).
0.00/0.24	tff('114', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Z(X0) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['113'])).
0.00/0.24	tff('115', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_X(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['82', '114'])).
0.00/0.24	tff('116', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | sk_X(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | sk_X(sk_Xx1)
0.00/0.24	     | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['115', '56'])).
0.00/0.24	tff('117', plain, (sk_Y(sk_Xx2) | sk_X(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['116'])).
0.00/0.24	tff('118', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | sk_X(sk_Xx1) | ~ sk_Y(X0) | ~ sk_X(X0) | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['111', '96'])).
0.00/0.24	tff('119', plain,
0.00/0.24	    ![X0 : a]: (~ $true | sk_X(sk_Xx1) | ~ sk_Y(X0) | ~ sk_X(X0) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['118', '56'])).
0.00/0.24	tff('120', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Y(X0) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['119'])).
0.00/0.24	tff('121', plain, (~ $true | sk_X(sk_Xx1) | sk_X(sk_Xx1) | ~ sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['104', '120'])).
0.00/0.24	tff('122', plain, (~ sk_X(sk_Xx) | sk_X(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['121'])).
0.00/0.24	tff('123', plain, (sk_X(sk_Xx1) | sk_Y(sk_Xx2)),
0.00/0.24	    inference('clc', [status(thm)], ['117', '122'])).
0.00/0.24	tff('124', plain, (~ $true | sk_X(sk_Xx1) | sk_X(sk_Xx1) | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['123', '120'])).
0.00/0.24	tff('125', plain, (~ $true | sk_X(sk_Xx1) | sk_X(sk_Xx1) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['124', '56'])).
0.00/0.24	tff('126', plain, sk_X(sk_Xx1), inference('simplify', [status(thm)], ['125'])).
0.00/0.24	tff('127', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0) | ~ $true | ~ sk_Z(X0) | sk_Y(sk_Xx2) | sk_Y(sk_Xx)),
0.00/0.24	    inference('demod', [status(thm)], ['76', '126'])).
0.00/0.24	tff('128', plain,
0.00/0.24	    ![X0 : a]: (sk_Y(sk_Xx) | sk_Y(sk_Xx2) | ~ sk_Z(X0) | ~ sk_X(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['127'])).
0.00/0.24	tff('129', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ sk_X(sk_Xx1)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | sk_Y(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['72', '128'])).
0.00/0.24	tff('130', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Y(sk_Xx)
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | ~ $true
0.00/0.24	     | sk_Y(sk_Xx2)
0.00/0.24	     | sk_Y(sk_Xx)),
0.00/0.24	    inference('demod', [status(thm)], ['129', '126'])).
0.00/0.24	tff('131', plain, (sk_Y(sk_Xx2) | sk_Y(sk_Xx)),
0.00/0.24	    inference('simplify', [status(thm)], ['130'])).
0.00/0.24	tff('132', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | sk_Y(sk_Xx) | ~ sk_Y(X0) | ~ sk_X(sk_Xx2) | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['131', '98'])).
0.00/0.24	tff('133', plain,
0.00/0.24	    ![X0 : a]: (~ $true | sk_Y(sk_Xx) | ~ sk_Y(X0) | ~ $true | ~ sk_X(X0)),
0.00/0.24	    inference('demod', [status(thm)], ['132', '56'])).
0.00/0.24	tff('134', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Y(X0) | sk_Y(sk_Xx)),
0.00/0.24	    inference('simplify', [status(thm)], ['133'])).
0.00/0.24	tff('135', plain, (~ $true | sk_Y(sk_Xx) | sk_Y(sk_Xx) | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['131', '134'])).
0.00/0.24	tff('136', plain, (~ $true | sk_Y(sk_Xx) | sk_Y(sk_Xx) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['135', '56'])).
0.00/0.24	tff('137', plain, sk_Y(sk_Xx), inference('simplify', [status(thm)], ['136'])).
0.00/0.24	tff('138', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	       | sk_Z(sk_Xx1)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '24'])).
0.00/0.24	tff('139', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0)
0.00/0.24	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
0.00/0.24	       | sk_Z(sk_Xx1)
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['138'])).
0.00/0.24	tff('140', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ sk_Y(X0)
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	       | sk_Z(sk_Xx1)
0.00/0.24	       | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '139'])).
0.00/0.24	tff('141', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ sk_X(X0)
0.00/0.24	       | sk_Z(sk_Xx1)
0.00/0.24	       | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	       | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['140'])).
0.00/0.24	tff('142', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)
0.00/0.24	     | sk_Z(sk_Xx1)
0.00/0.24	     | ~ sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['137', '141'])).
0.00/0.24	tff('143', plain,
0.00/0.24	    (~ sk_X(sk_Xx) | sk_Z(sk_Xx1) | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
0.00/0.24	    inference('simplify', [status(thm)], ['142'])).
0.00/0.24	tff('144', plain, (zip_tseitin0(sk_Xx2, sk_Z, sk_Y) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('clc', [status(thm)], ['143', '6'])).
0.00/0.24	tff('145', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | sk_Z(sk_Xx1) | ~ sk_Z(X0) | ~ sk_X(X0) | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['144', '13'])).
0.00/0.24	tff('146', plain,
0.00/0.24	    ![X0 : a]: (~ $true | sk_Z(sk_Xx1) | ~ sk_Z(X0) | ~ sk_X(X0) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['145', '56'])).
0.00/0.24	tff('147', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Z(X0) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['146'])).
0.00/0.24	tff('148', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx) | sk_Y(sk_Xx2) | sk_Z(sk_Xx1) | ~ sk_X(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['61', '147'])).
0.00/0.24	tff('149', plain,
0.00/0.24	    (~ $true | sk_X(sk_Xx) | sk_Y(sk_Xx2) | sk_Z(sk_Xx1) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['148', '126'])).
0.00/0.24	tff('150', plain, (sk_Z(sk_Xx1) | sk_Y(sk_Xx2) | sk_X(sk_Xx)),
0.00/0.24	    inference('simplify', [status(thm)], ['149'])).
0.00/0.24	tff('151', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | sk_Z(sk_Xx1) | ~ sk_Y(X0) | ~ sk_X(X0) | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['144', '96'])).
0.00/0.24	tff('152', plain,
0.00/0.24	    ![X0 : a]: (~ $true | sk_Z(sk_Xx1) | ~ sk_Y(X0) | ~ sk_X(X0) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['151', '56'])).
0.00/0.24	tff('153', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Y(X0) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['152'])).
0.00/0.24	tff('154', plain, (~ $true | sk_Z(sk_Xx1) | ~ sk_X(sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['137', '153'])).
0.00/0.24	tff('155', plain, (~ sk_X(sk_Xx) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('simplify', [status(thm)], ['154'])).
0.00/0.24	tff('156', plain, (sk_Y(sk_Xx2) | sk_Z(sk_Xx1)),
0.00/0.24	    inference('clc', [status(thm)], ['150', '155'])).
0.00/0.24	tff('157', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true | sk_Y(sk_Xx2) | ~ sk_Z(X0) | ~ sk_X(sk_Xx1) | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['156', '74'])).
0.00/0.24	tff('158', plain,
0.00/0.24	    ![X0 : a]: (~ $true | sk_Y(sk_Xx2) | ~ sk_Z(X0) | ~ $true | ~ sk_X(X0)),
0.00/0.24	    inference('demod', [status(thm)], ['157', '126'])).
0.00/0.24	tff('159', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Z(X0) | sk_Y(sk_Xx2)),
0.00/0.24	    inference('simplify', [status(thm)], ['158'])).
0.00/0.24	tff('160', plain, (~ $true | sk_Y(sk_Xx2) | sk_Y(sk_Xx2) | ~ sk_X(sk_Xx1)),
0.00/0.24	    inference('sup-', [status(thm)], ['156', '159'])).
0.00/0.24	tff('161', plain, (~ $true | sk_Y(sk_Xx2) | sk_Y(sk_Xx2) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['160', '126'])).
0.00/0.24	tff('162', plain, sk_Y(sk_Xx2), inference('simplify', [status(thm)], ['161'])).
0.00/0.24	tff('163', plain,
0.00/0.24	    ![X0 : a]: (~ $true | ~ sk_Y(X0) | ~ sk_X(sk_Xx2) | ~ sk_X(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['162', '98'])).
0.00/0.24	tff('164', plain, ![X0 : a]: (~ $true | ~ sk_Y(X0) | ~ $true | ~ sk_X(X0)),
0.00/0.24	    inference('demod', [status(thm)], ['163', '56'])).
0.00/0.24	tff('165', plain, ![X0 : a]: (~ sk_X(X0) | ~ sk_Y(X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['164'])).
0.00/0.24	tff('166', plain, (~ $true | ~ sk_X(sk_Xx2)),
0.00/0.24	    inference('sup-', [status(thm)], ['162', '165'])).
0.00/0.24	tff('167', plain, (~ $true | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['166', '56'])).
0.00/0.24	tff('168', plain, $false, inference('simplify', [status(thm)], ['167'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
