0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% 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-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n032.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 15:53:54 CST 2018
2.70/2.95	% done 4710 iterations in 2.746s
2.70/2.95	% SZS status Theorem for 'stdin'
2.70/2.95	% SZS output start Refutation
2.70/2.96	tff(zf_stmt_5, conjecture,
2.70/2.96	  (((?[Xx]:
2.70/2.96	       (![Xy]: (app_encode_app($i,$o,cP,Xx) <=> app_encode_app($i,$o,cP,Xy)))) <=>
2.70/2.96	    ((?[Xx]: app_encode_app($i,$o,cQ,Xx)) <=>
2.70/2.96	     (![Xy]: app_encode_app($i,$o,cP,Xy)))) <=>
2.70/2.96	   ((?[Xx]:
2.70/2.96	       (![Xy]: (app_encode_app($i,$o,cQ,Xx) <=> app_encode_app($i,$o,cQ,Xy)))) <=>
2.70/2.96	    ((?[Xx]: app_encode_app($i,$o,cP,Xx)) <=>
2.70/2.96	     (![Xy]: app_encode_app($i,$o,cQ,Xy)))))).
2.70/2.96	tff(zf_stmt_0, axiom,
2.70/2.96	  (zip_tseitin4 <=>
2.70/2.96	   ((?[Xx]: app_encode_app($i,$o,cP,Xx)) <=>
2.70/2.96	    (![Xy]: app_encode_app($i,$o,cQ,Xy))))).
2.70/2.96	tff('0', plain,
2.70/2.96	    ![X19]:
2.70/2.96	      (zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X19)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.70/2.96	tff(zf_stmt_1, axiom,
2.70/2.96	  (zip_tseitin3(Xy,Xx) <=>
2.70/2.96	   (app_encode_app($i,$o,cQ,Xx) <=> app_encode_app($i,$o,cQ,Xy)))).
2.70/2.96	tff('1', plain,
2.70/2.96	    ![X14, X15]:
2.70/2.96	      (zip_tseitin3(X14, X15)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X14)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X15)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.70/2.96	tff('2', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['0', '1'])).
2.70/2.96	tff('3', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin3(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['2'])).
2.70/2.96	tff('4', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['3', '0'])).
2.70/2.96	tff(zf_stmt_2, axiom,
2.70/2.96	  (zip_tseitin0(Xy,Xx) <=>
2.70/2.96	   (app_encode_app($i,$o,cP,Xx) <=> app_encode_app($i,$o,cP,Xy)))).
2.70/2.96	tff('5', plain,
2.70/2.96	    ![X4, X5]:
2.70/2.96	      (zip_tseitin0(X4, X5)
2.70/2.96	       | app_encode_app($i, $o, cP, X4)
2.70/2.96	       | app_encode_app($i, $o, cP, X5)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.70/2.96	tff('6', plain,
2.70/2.96	    ![X18]:
2.70/2.96	      (zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, sk_Xy4)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X18)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.70/2.96	tff('7', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['0', '6'])).
2.70/2.96	tff('8', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['7'])).
2.70/2.96	tff('9', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['5', '8'])).
2.70/2.96	tff('10', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['9'])).
2.70/2.96	tff('11', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['10', '8'])).
2.70/2.96	tff('12', plain,
2.70/2.96	    ![X4, X5]:
2.70/2.96	      (~ app_encode_app($i, $o, cP, X4)
2.70/2.96	       | app_encode_app($i, $o, cP, X5)
2.70/2.96	       | ~ zip_tseitin0(X4, X5)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.70/2.96	tff('13', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['0', '12'])).
2.70/2.96	tff('14', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['13'])).
2.70/2.96	tff(zf_stmt_2, axiom,
2.70/2.96	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
2.70/2.96	     ((![Z:Alpha]:
2.70/2.96	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
2.70/2.96	      (X = Y)))).
2.70/2.96	tff('15', plain,
2.70/2.96	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
2.70/2.96	      X3 : app_encode_fun(X0, X1)]:
2.70/2.96	      (X3 = X2
2.70/2.96	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
2.70/2.96	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.70/2.96	tff('16', plain,
2.70/2.96	    ![X0 : app_encode_fun($i, $o)]:
2.70/2.96	      (app_encode_app($i, $o, X0, sk_Z($o, $i, cQ, X0)) != $true
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | X0 = cQ),
2.70/2.96	    inference('sup-', [status(thm)], ['0', '15'])).
2.70/2.96	tff('17', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      ($true != $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, sk_Z($o, $i, cQ, cP))
2.70/2.96	       | cP = cQ
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('sup-', [status(thm)], ['14', '16'])).
2.70/2.96	tff('18', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | cP = cQ
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, sk_Z($o, $i, cQ, cP))
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['17'])).
2.70/2.96	tff('19', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, sk_Z($o, $i, cQ, cP))
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('clc', [status(thm)], ['18', '0'])).
2.70/2.96	tff(zf_stmt_3, axiom,
2.70/2.96	  (zip_tseitin2 <=> ((?[Xx]: (![Xy]: zip_tseitin0(Xy,Xx))) <=> zip_tseitin1))).
2.70/2.96	tff('20', plain,
2.70/2.96	    ![X13]: (zip_tseitin2 | zip_tseitin1 | zip_tseitin0(X13, sk_Xx2)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_3])).
2.70/2.96	tff(zf_stmt_4, axiom,
2.70/2.96	  (zip_tseitin1 <=>
2.70/2.96	   ((?[Xx]: app_encode_app($i,$o,cQ,Xx)) <=>
2.70/2.96	    (![Xy]: app_encode_app($i,$o,cP,Xy))))).
2.70/2.96	tff('21', plain,
2.70/2.96	    ![X9]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X9)
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.70/2.96	tff('22', plain,
2.70/2.96	    ![X4, X5]:
2.70/2.96	      (zip_tseitin0(X4, X5)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X4)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X5)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.70/2.96	tff('23', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['21', '22'])).
2.70/2.96	tff('24', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('simplify', [status(thm)], ['23'])).
2.70/2.96	tff('25', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['24', '21'])).
2.70/2.96	tff('26', plain,
2.70/2.96	    ![X14, X15]:
2.70/2.96	      (~ app_encode_app($i, $o, cQ, X14)
2.70/2.96	       | app_encode_app($i, $o, cQ, X15)
2.70/2.96	       | ~ zip_tseitin3(X14, X15)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.70/2.96	tff('27', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['25', '26'])).
2.70/2.96	tff('28', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X2, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['27'])).
2.70/2.96	tff('29', plain,
2.70/2.96	    ![X0 : app_encode_fun($i, $o)]:
2.70/2.96	      (app_encode_app($i, $o, X0, sk_Z($o, $i, cP, X0)) != $true
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | X0 = cP),
2.70/2.96	    inference('sup-', [status(thm)], ['21', '15'])).
2.70/2.96	tff('30', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      ($true != $true
2.70/2.96	       | zip_tseitin0(X1, X0)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Z($o, $i, cP, cQ))
2.70/2.96	       | cQ = cP
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('sup-', [status(thm)], ['28', '29'])).
2.70/2.96	tff('31', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | cQ = cP
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Z($o, $i, cP, cQ))
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X1, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['30'])).
2.70/2.96	tff('32', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X1, X0)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Z($o, $i, cP, cQ))
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('clc', [status(thm)], ['31', '25'])).
2.70/2.96	tff('33', plain,
2.70/2.96	    ![X10]: (~ zip_tseitin1 | zip_tseitin0(X10, sk_Xx3) | ~ zip_tseitin2),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_3])).
2.70/2.96	tff('34', plain,
2.70/2.96	    (~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.96	     | app_encode_app($i, $o, cQ, sk_Xx1)
2.70/2.96	     | ~ zip_tseitin1),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.70/2.96	tff('35', plain,
2.70/2.96	    ![X6, X7]:
2.70/2.96	      (~ app_encode_app($i, $o, cQ, X6)
2.70/2.96	       | app_encode_app($i, $o, cP, X7)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.70/2.96	tff('36', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['34', '35'])).
2.70/2.96	tff('37', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['36'])).
2.70/2.96	tff('38', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X1, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['5', '37'])).
2.70/2.96	tff('39', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X1, sk_Xy1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['38'])).
2.70/2.96	tff('40', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)),
2.70/2.96	    inference('condensation', [status(thm)], ['39'])).
2.70/2.96	tff('41', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['40', '8'])).
2.70/2.96	tff('42', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)),
2.70/2.96	    inference('simplify', [status(thm)], ['41'])).
2.70/2.96	tff('43', plain,
2.70/2.96	    ![X16, X17]:
2.70/2.96	      (~ app_encode_app($i, $o, cP, X16)
2.70/2.96	       | app_encode_app($i, $o, cQ, X17)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.70/2.96	tff('44', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X2)
2.70/2.96	       | zip_tseitin0(X0, X2)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['5', '43'])).
2.70/2.96	tff('45', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X0, X2)
2.70/2.96	       | app_encode_app($i, $o, cP, X2)),
2.70/2.96	    inference('simplify', [status(thm)], ['44'])).
2.70/2.96	tff('46', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (zip_tseitin0(X0, X2) | ~ zip_tseitin4 | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['45', '43'])).
2.70/2.96	tff('47', plain,
2.70/2.96	    ![X1, X2, X3]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X3, X2)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['46', '35'])).
2.70/2.96	tff('48', plain,
2.70/2.96	    ![X1, X2, X3]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X3, X2)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['47'])).
2.70/2.96	tff('49', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(X0, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('clc', [status(thm)], ['42', '48'])).
2.70/2.96	tff('50', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['40', '22'])).
2.70/2.96	tff('51', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)),
2.70/2.96	    inference('simplify', [status(thm)], ['50'])).
2.70/2.96	tff('52', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X1, sk_Xy1)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xx4)),
2.70/2.96	    inference('sup-', [status(thm)], ['49', '51'])).
2.70/2.96	tff('53', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)
2.70/2.96	       | zip_tseitin0(X1, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['52'])).
2.70/2.96	tff('54', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(X0, sk_Xx4) | ~ zip_tseitin1 | zip_tseitin0(X0, sk_Xy1)),
2.70/2.96	    inference('condensation', [status(thm)], ['53'])).
2.70/2.96	tff('55', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['0', '35'])).
2.70/2.96	tff('56', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['55'])).
2.70/2.96	tff('57', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin1 | zip_tseitin4),
2.70/2.96	    inference('condensation', [status(thm)], ['56'])).
2.70/2.96	tff('58', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['57', '12'])).
2.70/2.96	tff('59', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['58'])).
2.70/2.96	tff('60', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['59', '12'])).
2.70/2.96	tff('61', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['60'])).
2.70/2.96	tff('62', plain,
2.70/2.96	    ![X14, X15]:
2.70/2.96	      (zip_tseitin3(X14, X15)
2.70/2.96	       | app_encode_app($i, $o, cQ, X14)
2.70/2.96	       | app_encode_app($i, $o, cQ, X15)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.70/2.96	tff('63', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X2)
2.70/2.96	       | zip_tseitin3(X0, X2)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['62', '35'])).
2.70/2.96	tff('64', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin3(X0, X2)
2.70/2.96	       | app_encode_app($i, $o, cQ, X2)),
2.70/2.96	    inference('simplify', [status(thm)], ['63'])).
2.70/2.96	tff('65', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (zip_tseitin3(X0, X2) | ~ zip_tseitin1 | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['64', '35'])).
2.70/2.96	tff(zf_stmt_5, axiom,
2.70/2.96	  (zip_tseitin5 <=> ((?[Xx]: (![Xy]: zip_tseitin3(Xy,Xx))) <=> zip_tseitin4))).
2.70/2.96	tff('66', plain,
2.70/2.96	    ![X22]:
2.70/2.96	      (zip_tseitin5 | ~ zip_tseitin4 | ~ zip_tseitin3(sk_Xy6(X22), X22)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.70/2.96	tff('67', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin5),
2.70/2.96	    inference('sup-', [status(thm)], ['65', '66'])).
2.70/2.96	tff('68', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (zip_tseitin5
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['67'])).
2.70/2.96	tff('69', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['11', '22'])).
2.70/2.96	tff('70', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['69'])).
2.70/2.96	tff('71', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('condensation', [status(thm)], ['70'])).
2.70/2.96	tff('72', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['40', '71'])).
2.70/2.96	tff('73', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy1)),
2.70/2.96	    inference('simplify', [status(thm)], ['72'])).
2.70/2.96	tff('74', plain,
2.70/2.96	    ![X12]:
2.70/2.96	      (zip_tseitin2 | ~ zip_tseitin1 | ~ zip_tseitin0(sk_Xy2(X12), X12)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_3])).
2.70/2.96	tff('75', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin4
2.70/2.96	     | zip_tseitin0(sk_Xx4, sk_Xy2(sk_Xy1))
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin2),
2.70/2.96	    inference('sup-', [status(thm)], ['73', '74'])).
2.70/2.96	tff('76', plain,
2.70/2.96	    (zip_tseitin2
2.70/2.96	     | zip_tseitin0(sk_Xx4, sk_Xy2(sk_Xy1))
2.70/2.96	     | zip_tseitin4
2.70/2.96	     | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['75'])).
2.70/2.96	tff('77', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2),
2.70/2.96	    inference('sup-', [status(thm)], ['46', '74'])).
2.70/2.96	tff('78', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['77'])).
2.70/2.96	tff('79', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['78', '35'])).
2.70/2.96	tff('80', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['79'])).
2.70/2.96	tff('81', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['80', '22'])).
2.70/2.96	tff('82', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['81'])).
2.70/2.96	tff('83', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin4 | ~ zip_tseitin1 | zip_tseitin2 | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['82', '80'])).
2.70/2.96	tff('84', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin2
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin2),
2.70/2.96	    inference('sup-', [status(thm)], ['83', '74'])).
2.70/2.96	tff('85', plain, (~ zip_tseitin4 | ~ zip_tseitin1 | zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['84'])).
2.70/2.96	tff('86', plain,
2.70/2.96	    (~ zip_tseitin1 | zip_tseitin0(sk_Xx4, sk_Xy2(sk_Xy1)) | zip_tseitin2),
2.70/2.96	    inference('clc', [status(thm)], ['76', '85'])).
2.70/2.96	tff('87', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(sk_Xy1, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['5', '37'])).
2.70/2.96	tff('88', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xy1, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['87'])).
2.70/2.96	tff('89', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xy1, X0)),
2.70/2.96	    inference('condensation', [status(thm)], ['88'])).
2.70/2.96	tff('90', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(sk_Xy1, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['89', '12'])).
2.70/2.96	tff('91', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xy1, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['90'])).
2.70/2.96	tff('92', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin2
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin0(sk_Xy1, sk_Xx4)
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xy2(sk_Xy1))),
2.70/2.96	    inference('sup-', [status(thm)], ['86', '91'])).
2.70/2.96	tff('93', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xy2(sk_Xy1))
2.70/2.96	     | zip_tseitin0(sk_Xy1, sk_Xx4)
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['92'])).
2.70/2.96	tff('94', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin2),
2.70/2.96	    inference('sup-', [status(thm)], ['49', '74'])).
2.70/2.96	tff('95', plain,
2.70/2.96	    (zip_tseitin2 | ~ zip_tseitin1 | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['94'])).
2.70/2.96	tff('96', plain,
2.70/2.96	    ![X4, X5]:
2.70/2.96	      (~ app_encode_app($i, $o, cP, X5)
2.70/2.96	       | app_encode_app($i, $o, cP, X4)
2.70/2.96	       | ~ zip_tseitin0(X4, X5)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.70/2.96	tff('97', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['95', '96'])).
2.70/2.96	tff('98', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['97'])).
2.70/2.96	tff('99', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin0(sk_Xy1, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['98', '37'])).
2.70/2.96	tff('100', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xy1, sk_Xx4)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['99'])).
2.70/2.96	tff('101', plain,
2.70/2.96	    (zip_tseitin2
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xy2(sk_Xy1))),
2.70/2.96	    inference('clc', [status(thm)], ['93', '100'])).
2.70/2.96	tff('102', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xy2(sk_Xy1), X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['101', '22'])).
2.70/2.96	tff('103', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xy2(sk_Xy1), X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['102'])).
2.70/2.96	tff('104', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin2
2.70/2.96	     | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | zip_tseitin2),
2.70/2.96	    inference('sup-', [status(thm)], ['103', '74'])).
2.70/2.96	tff('105', plain,
2.70/2.96	    (~ app_encode_app($i, $o, cP, sk_Xy1) | zip_tseitin2 | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['104'])).
2.70/2.96	tff('106', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin3(X1, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin2),
2.70/2.96	    inference('sup-', [status(thm)], ['65', '105'])).
2.70/2.96	tff('107', plain,
2.70/2.96	    ![X0, X1]: (zip_tseitin2 | zip_tseitin3(X1, X0) | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['106'])).
2.70/2.96	tff('108', plain,
2.70/2.96	    ![X21]:
2.70/2.96	      (~ zip_tseitin3(sk_Xy7(X21), X21) | zip_tseitin4 | ~ zip_tseitin5),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.70/2.96	tff('109', plain,
2.70/2.96	    (~ $true | ~ zip_tseitin1 | zip_tseitin2 | ~ zip_tseitin5 | zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['107', '108'])).
2.70/2.96	tff('110', plain,
2.70/2.96	    (zip_tseitin4 | ~ zip_tseitin5 | zip_tseitin2 | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['109'])).
2.70/2.96	tff('111', plain, (~ zip_tseitin1 | zip_tseitin2 | ~ zip_tseitin5),
2.70/2.96	    inference('clc', [status(thm)], ['110', '85'])).
2.70/2.96	tff(zf_stmt_6, type, zip_tseitin5 : $o).
2.70/2.96	tff(zf_stmt_7, type, zip_tseitin4 : $o).
2.70/2.96	tff(zf_stmt_8, type, zip_tseitin3 : ($i * $i) > $o).
2.70/2.96	tff(zf_stmt_9, type, zip_tseitin2 : $o).
2.70/2.96	tff(zf_stmt_10, type, zip_tseitin1 : $o).
2.70/2.96	tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i) > $o).
2.70/2.96	tff(zf_stmt_12, conjecture, (zip_tseitin2 <=> zip_tseitin5)).
2.70/2.96	tff(zf_stmt_13, negated_conjecture, (~(zip_tseitin2 <=> zip_tseitin5))).
2.70/2.96	tff('112', plain, (~ zip_tseitin5 | ~ zip_tseitin2),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_13])).
2.70/2.96	tff('113', plain, (~ zip_tseitin5 | ~ zip_tseitin1),
2.70/2.96	    inference('clc', [status(thm)], ['111', '112'])).
2.70/2.96	tff('114', plain,
2.70/2.96	    ![X1]: (app_encode_app($i, $o, cP, X1) | ~ zip_tseitin1 | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['68', '113'])).
2.70/2.96	tff('115', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['114', '43'])).
2.70/2.96	tff('116', plain,
2.70/2.96	    ![X1]: (app_encode_app($i, $o, cQ, X1) | ~ zip_tseitin1 | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['115'])).
2.70/2.96	tff('117', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['116', '1'])).
2.70/2.96	tff('118', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin3(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['117'])).
2.70/2.96	tff('119', plain,
2.70/2.96	    ![X0, X1]: (~ zip_tseitin4 | ~ zip_tseitin1 | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['118', '116'])).
2.70/2.96	tff('120', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin1
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin5),
2.70/2.96	    inference('sup-', [status(thm)], ['119', '66'])).
2.70/2.96	tff('121', plain, (zip_tseitin5 | ~ zip_tseitin4 | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['120'])).
2.70/2.96	tff('122', plain, (~ zip_tseitin1 | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['121', '113'])).
2.70/2.96	tff('123', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['61', '122'])).
2.70/2.96	tff('124', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx3, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['33', '123'])).
2.70/2.96	tff('125', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin0(sk_Xx3, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['124'])).
2.70/2.96	tff('126', plain, (zip_tseitin5 | zip_tseitin2),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_13])).
2.70/2.96	tff('127', plain, (~ $true | zip_tseitin2 | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['126', '113'])).
2.70/2.96	tff('128', plain, (~ zip_tseitin1 | zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['127'])).
2.70/2.96	tff('129', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx3, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['125', '128'])).
2.70/2.96	tff('130', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin0(sk_Xx3, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['129', '37'])).
2.70/2.96	tff('131', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx3, sk_Xy1)),
2.70/2.96	    inference('simplify', [status(thm)], ['130'])).
2.70/2.96	tff('132', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx3, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['54', '131'])).
2.70/2.96	tff('133', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xx3, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['132'])).
2.70/2.96	tff('134', plain,
2.70/2.96	    ![X0]: (~ $true | app_encode_app($i, $o, cP, X0) | zip_tseitin0(X0, X0)),
2.70/2.96	    inference('eq_fact', [status(thm)], ['5'])).
2.70/2.96	tff('135', plain,
2.70/2.96	    ![X0]: (zip_tseitin0(X0, X0) | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['134'])).
2.70/2.96	tff('136', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X0, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['135', '22'])).
2.70/2.96	tff('137', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['136'])).
2.70/2.96	tff('138', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X0, X0)
2.70/2.96	       | zip_tseitin0(X1, X1)
2.70/2.96	       | zip_tseitin0(X1, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['135', '137'])).
2.70/2.96	tff('139', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X1, X0) | zip_tseitin0(X1, X1) | zip_tseitin0(X0, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['138'])).
2.70/2.96	tff('140', plain,
2.70/2.96	    ![X0]: (~ $true | zip_tseitin0(X0, X0) | zip_tseitin0(X0, X0)),
2.70/2.96	    inference('eq_fact', [status(thm)], ['139'])).
2.70/2.96	tff('141', plain, ![X0]: zip_tseitin0(X0, X0),
2.70/2.96	    inference('simplify', [status(thm)], ['140'])).
2.70/2.96	tff('142', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['59', '22'])).
2.70/2.96	tff('143', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['142'])).
2.70/2.96	tff('144', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['143', '122'])).
2.70/2.96	tff('145', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['141', '144'])).
2.70/2.96	tff('146', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['145'])).
2.70/2.96	tff('147', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx3, sk_Xx4)
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['133', '146'])).
2.70/2.96	tff('148', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | zip_tseitin0(sk_Xx3, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['147'])).
2.70/2.96	tff('149', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['59', '96'])).
2.70/2.96	tff('150', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['149'])).
2.70/2.96	tff('151', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['150', '122'])).
2.70/2.96	tff('152', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['141', '151'])).
2.70/2.96	tff('153', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['152'])).
2.70/2.96	tff('154', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['153', '146'])).
2.70/2.96	tff('155', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin1 | ~ zip_tseitin0(X0, sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['154'])).
2.70/2.96	tff('156', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx4, sk_Xx3)),
2.70/2.96	    inference('sup-', [status(thm)], ['148', '155'])).
2.70/2.96	tff('157', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, sk_Xx3)
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['156'])).
2.70/2.96	tff('158', plain, (zip_tseitin0(sk_Xx4, sk_Xx3) | ~ zip_tseitin1),
2.70/2.96	    inference('condensation', [status(thm)], ['157'])).
2.70/2.96	tff('159', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx3)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['158', '151'])).
2.70/2.96	tff('160', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin0(X0, sk_Xx3)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['159'])).
2.70/2.96	tff('161', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx3)
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['160', '146'])).
2.70/2.96	tff('162', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx3) | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['161'])).
2.70/2.96	tff('163', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['33', '162'])).
2.70/2.96	tff('164', plain,
2.70/2.96	    ![X0]: (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin1 | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['163'])).
2.70/2.96	tff('165', plain, ![X0]: (~ zip_tseitin1 | zip_tseitin0(sk_Xx4, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['164', '128'])).
2.70/2.96	tff('166', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['165', '144'])).
2.70/2.96	tff('167', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['166'])).
2.70/2.96	tff('168', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | ~ zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['141', '123'])).
2.70/2.96	tff('169', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['168'])).
2.70/2.96	tff('170', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, sk_Xy1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['169', '37'])).
2.70/2.96	tff('171', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, sk_Xy1)),
2.70/2.96	    inference('simplify', [status(thm)], ['170'])).
2.70/2.96	tff('172', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['165', '171'])).
2.70/2.96	tff('173', plain, ![X0]: (app_encode_app($i, $o, cP, X0) | ~ zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['172'])).
2.70/2.96	tff('174', plain, ![X0, X1]: (~ zip_tseitin1 | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['167', '173'])).
2.70/2.96	tff('175', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Z($o, $i, cP, cQ))
2.70/2.96	       | zip_tseitin0(X1, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['32', '174'])).
2.70/2.96	tff('176', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['25', '1'])).
2.70/2.96	tff('177', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X2, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['176'])).
2.70/2.96	tff('178', plain,
2.70/2.96	    ![X0, X1, X2, X3]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X3)
2.70/2.96	       | zip_tseitin3(X3, X0)
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['62', '177'])).
2.70/2.96	tff('179', plain,
2.70/2.96	    ![X0, X1, X2, X3]:
2.70/2.96	      (zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin3(X3, X0)
2.70/2.96	       | app_encode_app($i, $o, cQ, X3)),
2.70/2.96	    inference('simplify', [status(thm)], ['178'])).
2.70/2.96	tff('180', plain,
2.70/2.96	    ![X0, X1, X2, X3]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X3)
2.70/2.96	       | zip_tseitin3(X3, X0)
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['179', '174'])).
2.70/2.96	tff('181', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('eq_fact', [status(thm)], ['180'])).
2.70/2.96	tff('182', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['181'])).
2.70/2.96	tff('183', plain,
2.70/2.96	    ![X0, X1]: (zip_tseitin0(X1, X0) | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('clc', [status(thm)], ['175', '182'])).
2.70/2.96	tff('184', plain,
2.70/2.96	    ![X8]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cP, sk_Xy)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X8)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.70/2.96	tff('185', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(sk_Xy, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['5', '184'])).
2.70/2.96	tff('186', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin0(sk_Xy, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['185'])).
2.70/2.96	tff('187', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(sk_Xy, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['186', '35'])).
2.70/2.96	tff('188', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['183', '187'])).
2.70/2.96	tff('189', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | zip_tseitin0(X2, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['188'])).
2.70/2.96	tff('190', plain,
2.70/2.96	    ![X0]: (app_encode_app($i, $o, cP, X0) | zip_tseitin0(sk_Xy, X0)),
2.70/2.96	    inference('condensation', [status(thm)], ['189'])).
2.70/2.96	tff('191', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['190', '12'])).
2.70/2.96	tff('192', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['191'])).
2.70/2.96	tff('193', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx2)),
2.70/2.96	    inference('sup-', [status(thm)], ['20', '192'])).
2.70/2.96	tff('194', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, sk_Xx2)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['193'])).
2.70/2.96	tff('195', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin2
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx2)),
2.70/2.96	    inference('clc', [status(thm)], ['194', '128'])).
2.70/2.96	tff('196', plain,
2.70/2.96	    (~ app_encode_app($i, $o, cQ, sk_Xy5)
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx5)
2.70/2.96	     | ~ zip_tseitin4),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.70/2.96	tff('197', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X1, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx5)),
2.70/2.96	    inference('sup-', [status(thm)], ['46', '196'])).
2.70/2.96	tff('198', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, sk_Xx5)
2.70/2.96	       | zip_tseitin0(X1, X0)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['197'])).
2.70/2.96	tff('199', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xx5, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['198', '22'])).
2.70/2.96	tff('200', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['199'])).
2.70/2.96	tff('201', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('condensation', [status(thm)], ['200'])).
2.70/2.96	tff('202', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(sk_Xx5, sk_Xx2)),
2.70/2.96	    inference('sup-', [status(thm)], ['195', '201'])).
2.70/2.96	tff('203', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx5, sk_Xx2)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['202'])).
2.70/2.96	tff('204', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['21', '43'])).
2.70/2.96	tff('205', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.96	    inference('simplify', [status(thm)], ['204'])).
2.70/2.96	tff('206', plain,
2.70/2.96	    (app_encode_app($i, $o, cQ, sk_Xx) | ~ zip_tseitin4 | zip_tseitin1),
2.70/2.96	    inference('condensation', [status(thm)], ['205'])).
2.70/2.96	tff('207', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X1, sk_Xy)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['5', '184'])).
2.70/2.96	tff('208', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin0(X1, sk_Xy)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['207'])).
2.70/2.96	tff('209', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X1, sk_Xy)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['208', '35'])).
2.70/2.96	tff('210', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['206', '209'])).
2.70/2.96	tff('211', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['210'])).
2.70/2.96	tff('212', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['211', '48'])).
2.70/2.96	tff('213', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(sk_Xx5, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['212', '201'])).
2.70/2.96	tff('214', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx5, X0) | ~ zip_tseitin4 | zip_tseitin0(X0, sk_Xy)),
2.70/2.96	    inference('simplify', [status(thm)], ['213'])).
2.70/2.96	tff('215', plain,
2.70/2.96	    ![X11]:
2.70/2.96	      (~ zip_tseitin0(sk_Xy3(X11), X11) | zip_tseitin1 | ~ zip_tseitin2),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_3])).
2.70/2.96	tff('216', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin0(sk_Xx5, sk_Xy3(sk_Xy))
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['214', '215'])).
2.70/2.96	tff('217', plain,
2.70/2.96	    (zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin0(sk_Xx5, sk_Xy3(sk_Xy))
2.70/2.96	     | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['216'])).
2.70/2.96	tff('218', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(sk_Xx5, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['48', '201'])).
2.70/2.96	tff('219', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | ~ zip_tseitin1
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['218'])).
2.70/2.96	tff('220', plain,
2.70/2.96	    ![X0]: (zip_tseitin0(sk_Xx5, X0) | ~ zip_tseitin1 | ~ zip_tseitin4),
2.70/2.96	    inference('condensation', [status(thm)], ['219'])).
2.70/2.96	tff('221', plain,
2.70/2.96	    (~ zip_tseitin4 | zip_tseitin0(sk_Xx5, sk_Xy3(sk_Xy)) | ~ zip_tseitin2),
2.70/2.96	    inference('clc', [status(thm)], ['217', '220'])).
2.70/2.96	tff('222', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin4
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['11', '215'])).
2.70/2.96	tff('223', plain,
2.70/2.96	    (zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	     | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['222'])).
2.70/2.96	tff('224', plain,
2.70/2.96	    (zip_tseitin4 | app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin2),
2.70/2.96	    inference('clc', [status(thm)], ['223', '57'])).
2.70/2.96	tff('225', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['25', '209'])).
2.70/2.96	tff('226', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X2, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['225'])).
2.70/2.96	tff('227', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('condensation', [status(thm)], ['226'])).
2.70/2.96	tff('228', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['227', '22'])).
2.70/2.96	tff('229', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin0(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['228'])).
2.70/2.96	tff('230', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin0(X0, sk_Xx4)),
2.70/2.96	    inference('sup-', [status(thm)], ['224', '229'])).
2.70/2.96	tff('231', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['230'])).
2.70/2.96	tff('232', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['46', '215'])).
2.70/2.96	tff('233', plain,
2.70/2.96	    ![X1]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['232'])).
2.70/2.96	tff('234', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['233', '1'])).
2.70/2.96	tff('235', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin3(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['234'])).
2.70/2.96	tff('236', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin4 | ~ zip_tseitin2 | zip_tseitin1 | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['235', '233'])).
2.70/2.96	tff('237', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin5),
2.70/2.96	    inference('sup-', [status(thm)], ['236', '66'])).
2.70/2.96	tff('238', plain,
2.70/2.96	    (zip_tseitin5 | ~ zip_tseitin4 | ~ zip_tseitin2 | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['237'])).
2.70/2.96	tff('239', plain, (zip_tseitin1 | ~ zip_tseitin2 | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['238', '112'])).
2.70/2.96	tff('240', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin0(X0, sk_Xx4)),
2.70/2.96	    inference('clc', [status(thm)], ['231', '239'])).
2.70/2.96	tff('241', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4)
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['240', '215'])).
2.70/2.96	tff('242', plain,
2.70/2.96	    (~ zip_tseitin2 | zip_tseitin1 | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['241'])).
2.70/2.96	tff('243', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(X2, X1)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['25', '187'])).
2.70/2.96	tff('244', plain,
2.70/2.96	    ![X0, X1, X2]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X2, X1)),
2.70/2.96	    inference('simplify', [status(thm)], ['243'])).
2.70/2.96	tff('245', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('condensation', [status(thm)], ['244'])).
2.70/2.96	tff('246', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['245', '96'])).
2.70/2.96	tff('247', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['246'])).
2.70/2.96	tff('248', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xy3(sk_Xy))),
2.70/2.96	    inference('sup-', [status(thm)], ['242', '247'])).
2.70/2.96	tff('249', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xy3(sk_Xy))
2.70/2.96	     | zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['248'])).
2.70/2.96	tff('250', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['25', '215'])).
2.70/2.96	tff('251', plain,
2.70/2.96	    (~ zip_tseitin2 | app_encode_app($i, $o, cQ, sk_Xx) | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['250'])).
2.70/2.96	tff('252', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['227', '12'])).
2.70/2.96	tff('253', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X0, X1)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['252'])).
2.70/2.96	tff('254', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xy)
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('sup-', [status(thm)], ['242', '253'])).
2.70/2.96	tff('255', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	     | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xy)
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['254'])).
2.70/2.96	tff('256', plain,
2.70/2.96	    (zip_tseitin1 | ~ zip_tseitin2 | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('clc', [status(thm)], ['255', '215'])).
2.70/2.96	tff('257', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['256', '96'])).
2.70/2.96	tff('258', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['257'])).
2.70/2.96	tff('259', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['258', '184'])).
2.70/2.96	tff('260', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['259'])).
2.70/2.96	tff('261', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin0(sk_Xy, sk_Xx4)),
2.70/2.96	    inference('sup-', [status(thm)], ['251', '260'])).
2.70/2.96	tff('262', plain,
2.70/2.96	    (~ zip_tseitin0(sk_Xy, sk_Xx4) | ~ zip_tseitin2 | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['261'])).
2.70/2.96	tff('263', plain,
2.70/2.96	    (zip_tseitin1
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xy3(sk_Xy))),
2.70/2.96	    inference('clc', [status(thm)], ['249', '262'])).
2.70/2.96	tff('264', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xy3(sk_Xy))
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['263', '96'])).
2.70/2.96	tff('265', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xy3(sk_Xy))
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['264'])).
2.70/2.96	tff('266', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin2
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx5)),
2.70/2.96	    inference('sup-', [status(thm)], ['221', '265'])).
2.70/2.96	tff('267', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xx5)
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin2),
2.70/2.96	    inference('simplify', [status(thm)], ['266'])).
2.70/2.96	tff('268', plain, (~ zip_tseitin2 | ~ zip_tseitin4 | zip_tseitin1),
2.70/2.96	    inference('clc', [status(thm)], ['267', '239'])).
2.70/2.96	tff('269', plain, (~ zip_tseitin4 | ~ zip_tseitin2),
2.70/2.96	    inference('clc', [status(thm)], ['268', '122'])).
2.70/2.96	tff('270', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xy, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(sk_Xx5, sk_Xx2)),
2.70/2.96	    inference('clc', [status(thm)], ['203', '269'])).
2.70/2.96	tff('271', plain,
2.70/2.96	    ![X20]: (~ zip_tseitin4 | zip_tseitin3(X20, sk_Xx7) | ~ zip_tseitin5),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.70/2.96	tff('272', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['206', '26'])).
2.70/2.96	tff('273', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['272'])).
2.70/2.96	tff('274', plain,
2.70/2.96	    ![X14, X15]:
2.70/2.96	      (~ app_encode_app($i, $o, cQ, X15)
2.70/2.96	       | app_encode_app($i, $o, cQ, X14)
2.70/2.96	       | ~ zip_tseitin3(X14, X15)),
2.70/2.96	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.70/2.96	tff('275', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ zip_tseitin3(X1, X0)
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['273', '274'])).
2.70/2.96	tff('276', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin3(X1, X0)
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['275'])).
2.70/2.96	tff('277', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ zip_tseitin3(X1, X0)
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['276', '122'])).
2.70/2.96	tff('278', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin5
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin3(X0, sk_Xx7)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['271', '277'])).
2.70/2.96	tff('279', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin3(X0, sk_Xx7)
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin5),
2.70/2.96	    inference('simplify', [status(thm)], ['278'])).
2.70/2.96	tff('280', plain,
2.70/2.96	    ![X0]: (~ zip_tseitin5 | ~ zip_tseitin4 | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['279', '271'])).
2.70/2.96	tff('281', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin5
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx5)),
2.70/2.96	    inference('sup-', [status(thm)], ['280', '196'])).
2.70/2.96	tff('282', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xx5) | ~ zip_tseitin5 | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['281'])).
2.70/2.96	tff('283', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin5
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['282', '12'])).
2.70/2.96	tff('284', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | ~ zip_tseitin5
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['283'])).
2.70/2.96	tff('285', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xy6(X0))
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin5),
2.70/2.96	    inference('sup-', [status(thm)], ['62', '66'])).
2.70/2.96	tff('286', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin5
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, sk_Xy6(X0))
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['285'])).
2.70/2.96	tff('287', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['251', '1'])).
2.70/2.96	tff('288', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['287'])).
2.70/2.96	tff('289', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin5
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin3(sk_Xx, sk_Xy6(X0))),
2.70/2.96	    inference('sup-', [status(thm)], ['286', '288'])).
2.70/2.96	tff('290', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin3(sk_Xx, sk_Xy6(X0))
2.70/2.96	       | ~ zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin5
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['289'])).
2.70/2.96	tff('291', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin5
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin2),
2.70/2.96	    inference('clc', [status(thm)], ['290', '269'])).
2.70/2.96	tff('292', plain,
2.70/2.96	    (~ zip_tseitin2 | zip_tseitin1 | zip_tseitin5 | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['291', '269'])).
2.70/2.96	tff('293', plain, (~ zip_tseitin4 | zip_tseitin5 | zip_tseitin1),
2.70/2.96	    inference('clc', [status(thm)], ['292', '126'])).
2.70/2.96	tff('294', plain, (zip_tseitin5 | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['293', '122'])).
2.70/2.96	tff('295', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['284', '294'])).
2.70/2.96	tff('296', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['295', '43'])).
2.70/2.96	tff('297', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['296'])).
2.70/2.96	tff('298', plain, ![X1]: (~ zip_tseitin4 | app_encode_app($i, $o, cQ, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['297', '46'])).
2.70/2.96	tff('299', plain,
2.70/2.96	    ![X0]: (~ $true | app_encode_app($i, $o, cQ, X0) | zip_tseitin3(X0, X0)),
2.70/2.96	    inference('eq_fact', [status(thm)], ['62'])).
2.70/2.96	tff('300', plain,
2.70/2.96	    ![X0]: (zip_tseitin3(X0, X0) | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['299'])).
2.70/2.96	tff('301', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin3(X0, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['300', '1'])).
2.70/2.96	tff('302', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin3(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['301'])).
2.70/2.96	tff('303', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin3(X0, X0)
2.70/2.96	       | zip_tseitin3(X1, X1)
2.70/2.96	       | zip_tseitin3(X1, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['300', '302'])).
2.70/2.96	tff('304', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin3(X1, X0) | zip_tseitin3(X1, X1) | zip_tseitin3(X0, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['303'])).
2.70/2.96	tff('305', plain,
2.70/2.96	    ![X0]: (~ $true | zip_tseitin3(X0, X0) | zip_tseitin3(X0, X0)),
2.70/2.96	    inference('eq_fact', [status(thm)], ['304'])).
2.70/2.96	tff('306', plain, ![X0]: zip_tseitin3(X0, X0),
2.70/2.96	    inference('simplify', [status(thm)], ['305'])).
2.70/2.96	tff('307', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['273', '1'])).
2.70/2.96	tff('308', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (zip_tseitin3(X0, X1)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['307'])).
2.70/2.96	tff('309', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.96	       | zip_tseitin3(X0, X1)),
2.70/2.96	    inference('clc', [status(thm)], ['308', '122'])).
2.70/2.96	tff('310', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['306', '309'])).
2.70/2.96	tff('311', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.96	    inference('simplify', [status(thm)], ['310'])).
2.70/2.96	tff('312', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true | ~ zip_tseitin4 | zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['298', '311'])).
2.70/2.96	tff('313', plain, ![X0]: (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['312'])).
2.70/2.96	tff('314', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin3(sk_Xx, sk_Xy5)
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx5)),
2.70/2.96	    inference('sup-', [status(thm)], ['273', '196'])).
2.70/2.96	tff('315', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xx5)
2.70/2.96	     | ~ zip_tseitin3(sk_Xx, sk_Xy5)
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['314'])).
2.70/2.96	tff('316', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx5)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['315', '96'])).
2.70/2.96	tff('317', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx5)
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['316'])).
2.70/2.96	tff('318', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx5)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['317', '122'])).
2.70/2.96	tff('319', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(X0, sk_Xx5)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['313', '318'])).
2.70/2.96	tff('320', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin0(X0, sk_Xx5)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['319'])).
2.70/2.96	tff('321', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xy, sk_Xx5)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['320', '184'])).
2.70/2.96	tff('322', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xy, sk_Xx5)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['321'])).
2.70/2.96	tff('323', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xy, sk_Xx5)
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['322', '122'])).
2.70/2.96	tff('324', plain, (~ zip_tseitin0(sk_Xy, sk_Xx5) | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['323', '298'])).
2.70/2.96	tff('325', plain,
2.70/2.96	    (~ $true | zip_tseitin0(sk_Xx5, sk_Xx2) | ~ zip_tseitin4 | ~ zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['270', '324'])).
2.70/2.96	tff('326', plain, (~ zip_tseitin4 | zip_tseitin0(sk_Xx5, sk_Xx2)),
2.70/2.96	    inference('simplify', [status(thm)], ['325'])).
2.70/2.96	tff('327', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin0(sk_Xy, sk_Xx5)
2.70/2.96	     | app_encode_app($i, $o, cP, sk_Xx2)),
2.70/2.96	    inference('sup-', [status(thm)], ['326', '192'])).
2.70/2.96	tff('328', plain,
2.70/2.96	    (app_encode_app($i, $o, cP, sk_Xx2)
2.70/2.96	     | zip_tseitin0(sk_Xy, sk_Xx5)
2.70/2.96	     | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['327'])).
2.70/2.96	tff('329', plain, (~ zip_tseitin4 | app_encode_app($i, $o, cP, sk_Xx2)),
2.70/2.96	    inference('clc', [status(thm)], ['328', '324'])).
2.70/2.96	tff('330', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx2, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['329', '12'])).
2.70/2.96	tff('331', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx2, X0)
2.70/2.96	       | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['330'])).
2.70/2.96	tff('332', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx2, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | zip_tseitin0(sk_Xx5, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['331', '201'])).
2.70/2.96	tff('333', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx5, X0) | ~ zip_tseitin0(sk_Xx2, X0) | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['332'])).
2.70/2.96	tff('334', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, sk_Xy)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['295', '184'])).
2.70/2.96	tff('335', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ zip_tseitin0(sk_Xx5, sk_Xy)),
2.70/2.96	    inference('simplify', [status(thm)], ['334'])).
2.70/2.96	tff('336', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ zip_tseitin0(sk_Xx5, sk_Xy)
2.70/2.96	       | ~ zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['335', '122'])).
2.70/2.96	tff('337', plain, (~ zip_tseitin4 | ~ zip_tseitin0(sk_Xx5, sk_Xy)),
2.70/2.96	    inference('clc', [status(thm)], ['336', '298'])).
2.70/2.96	tff('338', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | ~ zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	     | ~ zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['333', '337'])).
2.70/2.96	tff('339', plain, (~ zip_tseitin0(sk_Xx2, sk_Xy) | ~ zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['338'])).
2.70/2.96	tff('340', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, X1)),
2.70/2.96	    inference('sup-', [status(thm)], ['227', '96'])).
2.70/2.96	tff('341', plain,
2.70/2.96	    ![X0, X1]:
2.70/2.96	      (app_encode_app($i, $o, cP, X1)
2.70/2.96	       | ~ zip_tseitin0(X1, X0)
2.70/2.96	       | zip_tseitin0(X0, sk_Xy)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['340'])).
2.70/2.96	tff('342', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | zip_tseitin1
2.70/2.96	       | zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('sup-', [status(thm)], ['20', '341'])).
2.70/2.96	tff('343', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['342'])).
2.70/2.96	tff('344', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin2
2.70/2.96	       | zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	       | app_encode_app($i, $o, cP, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['343', '128'])).
2.70/2.96	tff('345', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin1),
2.70/2.96	    inference('sup-', [status(thm)], ['344', '184'])).
2.70/2.96	tff('346', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin1
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.96	    inference('simplify', [status(thm)], ['345'])).
2.70/2.96	tff('347', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	       | zip_tseitin2
2.70/2.96	       | ~ app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['346', '128'])).
2.70/2.96	tff('348', plain,
2.70/2.96	    (~ $true
2.70/2.96	     | zip_tseitin1
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin2
2.70/2.96	     | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.96	    inference('sup-', [status(thm)], ['206', '347'])).
2.70/2.96	tff('349', plain,
2.70/2.96	    (zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.96	     | zip_tseitin2
2.70/2.96	     | ~ zip_tseitin4
2.70/2.96	     | zip_tseitin1),
2.70/2.96	    inference('simplify', [status(thm)], ['348'])).
2.70/2.96	tff('350', plain,
2.70/2.96	    (zip_tseitin1 | ~ zip_tseitin4 | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.96	    inference('clc', [status(thm)], ['349', '269'])).
2.70/2.96	tff('351', plain, (zip_tseitin0(sk_Xx2, sk_Xy) | ~ zip_tseitin4),
2.70/2.96	    inference('clc', [status(thm)], ['350', '122'])).
2.70/2.96	tff('352', plain, ~ zip_tseitin4,
2.70/2.96	    inference('clc', [status(thm)], ['339', '351'])).
2.70/2.96	tff('353', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | ~ zip_tseitin0(sk_Xx4, sk_Z($o, $i, cQ, cP))
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['19', '352'])).
2.70/2.96	tff('354', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | zip_tseitin4
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('sup-', [status(thm)], ['11', '353'])).
2.70/2.96	tff('355', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cQ, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('simplify', [status(thm)], ['354'])).
2.70/2.96	tff('356', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (app_encode_app($i, $o, cP, sk_Xx4) | app_encode_app($i, $o, cQ, X0)),
2.70/2.96	    inference('clc', [status(thm)], ['355', '352'])).
2.70/2.96	tff('357', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (~ $true
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | zip_tseitin4),
2.70/2.96	    inference('sup-', [status(thm)], ['356', '6'])).
2.70/2.96	tff('358', plain,
2.70/2.96	    ![X0]:
2.70/2.96	      (zip_tseitin4
2.70/2.96	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.96	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.96	    inference('simplify', [status(thm)], ['357'])).
2.70/2.97	tff('359', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cP, sk_Xx4) | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['358', '352'])).
2.70/2.97	tff('360', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X1, X0)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('sup-', [status(thm)], ['4', '359'])).
2.70/2.97	tff('361', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin3(X1, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['360'])).
2.70/2.97	tff('362', plain,
2.70/2.97	    ![X0, X1]: (zip_tseitin3(X1, X0) | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('clc', [status(thm)], ['361', '352'])).
2.70/2.97	tff('363', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(X1, sk_Xy4)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['62', '6'])).
2.70/2.97	tff('364', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin3(X1, sk_Xy4)
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['363'])).
2.70/2.97	tff('365', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(X1, sk_Xy4)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['364', '43'])).
2.70/2.97	tff('366', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X2, X1)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['362', '365'])).
2.70/2.97	tff('367', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | zip_tseitin3(X2, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['366'])).
2.70/2.97	tff('368', plain,
2.70/2.97	    ![X0]: (app_encode_app($i, $o, cQ, X0) | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('condensation', [status(thm)], ['367'])).
2.70/2.97	tff('369', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(X0, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['368', '1'])).
2.70/2.97	tff('370', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin3(X0, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('simplify', [status(thm)], ['369'])).
2.70/2.97	tff('371', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | zip_tseitin3(X1, sk_Xy4)
2.70/2.97	       | zip_tseitin3(X1, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['368', '370'])).
2.70/2.97	tff('372', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin3(X1, X0)
2.70/2.97	       | zip_tseitin3(X1, sk_Xy4)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('simplify', [status(thm)], ['371'])).
2.70/2.97	tff('373', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | zip_tseitin3(sk_Xy7(sk_Xy4), X0)
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['372', '108'])).
2.70/2.97	tff('374', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xy7(sk_Xy4), X0)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('simplify', [status(thm)], ['373'])).
2.70/2.97	tff('375', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | zip_tseitin3(sk_Xy7(sk_Xy4), X0)
2.70/2.97	       | ~ zip_tseitin5),
2.70/2.97	    inference('clc', [status(thm)], ['374', '352'])).
2.70/2.97	tff('376', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | ~ zip_tseitin3(X1, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['368', '274'])).
2.70/2.97	tff('377', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | ~ zip_tseitin3(X1, X0)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('simplify', [status(thm)], ['376'])).
2.70/2.97	tff('378', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | app_encode_app($i, $o, cQ, sk_Xy7(sk_Xy4))),
2.70/2.97	    inference('sup-', [status(thm)], ['375', '377'])).
2.70/2.97	tff('379', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, sk_Xy7(sk_Xy4))
2.70/2.97	       | zip_tseitin3(X0, sk_Xy4)
2.70/2.97	       | ~ zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['378'])).
2.70/2.97	tff('380', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin0(sk_Xy, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.97	       | zip_tseitin0(X0, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['190', '22'])).
2.70/2.97	tff('381', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin0(X0, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.97	       | zip_tseitin0(sk_Xy, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['380'])).
2.70/2.97	tff('382', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin0(sk_Xy, X1)
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin0(sk_Xy, X0)
2.70/2.97	       | zip_tseitin0(X0, sk_Xx2)),
2.70/2.97	    inference('sup-', [status(thm)], ['195', '381'])).
2.70/2.97	tff('383', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin0(X0, sk_Xx2)
2.70/2.97	       | zip_tseitin0(sk_Xy, X0)
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin0(sk_Xy, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['382'])).
2.70/2.97	tff('384', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(X0, sk_Xx2) | zip_tseitin0(sk_Xy, X0) | zip_tseitin2),
2.70/2.97	    inference('condensation', [status(thm)], ['383'])).
2.70/2.97	tff('385', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin4
2.70/2.97	     | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.97	     | ~ zip_tseitin5
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['4', '108'])).
2.70/2.97	tff('386', plain,
2.70/2.97	    (~ zip_tseitin5 | app_encode_app($i, $o, cP, sk_Xx4) | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['385'])).
2.70/2.97	tff('387', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin4
2.70/2.97	     | ~ zip_tseitin5
2.70/2.97	     | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('sup-', [status(thm)], ['386', '359'])).
2.70/2.97	tff('388', plain,
2.70/2.97	    (app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin5 | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['387'])).
2.70/2.97	tff('389', plain, (~ zip_tseitin5 | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('clc', [status(thm)], ['388', '352'])).
2.70/2.97	tff('390', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['389', '96'])).
2.70/2.97	tff('391', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | ~ zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['390'])).
2.70/2.97	tff('392', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['389', '22'])).
2.70/2.97	tff('393', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['392'])).
2.70/2.97	tff('394', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['391', '393'])).
2.70/2.97	tff('395', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx4) | ~ zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['394'])).
2.70/2.97	tff('396', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin2
2.70/2.97	     | zip_tseitin0(sk_Xx4, sk_Xx2)
2.70/2.97	     | ~ zip_tseitin5
2.70/2.97	     | zip_tseitin0(sk_Xx4, sk_Xy)),
2.70/2.97	    inference('sup-', [status(thm)], ['384', '395'])).
2.70/2.97	tff('397', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx4, sk_Xy)
2.70/2.97	     | ~ zip_tseitin5
2.70/2.97	     | zip_tseitin0(sk_Xx4, sk_Xx2)
2.70/2.97	     | zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['396'])).
2.70/2.97	tff('398', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin0(sk_Xy, X0)
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(sk_Xx4, sk_Xx2)),
2.70/2.97	    inference('sup-', [status(thm)], ['195', '71'])).
2.70/2.97	tff('399', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, sk_Xx2)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin0(sk_Xy, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['398'])).
2.70/2.97	tff('400', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xy, X0) | zip_tseitin2 | zip_tseitin0(sk_Xx4, sk_Xx2)),
2.70/2.97	    inference('clc', [status(thm)], ['399', '352'])).
2.70/2.97	tff('401', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.97	     | zip_tseitin4
2.70/2.97	     | zip_tseitin2
2.70/2.97	     | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('sup-', [status(thm)], ['0', '347'])).
2.70/2.97	tff('402', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.97	     | zip_tseitin2
2.70/2.97	     | zip_tseitin4
2.70/2.97	     | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('simplify', [status(thm)], ['401'])).
2.70/2.97	tff('403', plain,
2.70/2.97	    (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.97	     | zip_tseitin4
2.70/2.97	     | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('clc', [status(thm)], ['402', '224'])).
2.70/2.97	tff('404', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx2, sk_Xy) | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('clc', [status(thm)], ['403', '351'])).
2.70/2.97	tff('405', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['404', '96'])).
2.70/2.97	tff('406', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('simplify', [status(thm)], ['405'])).
2.70/2.97	tff('407', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xy3(sk_Xy), X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['263', '22'])).
2.70/2.97	tff('408', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xy3(sk_Xy), X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['407'])).
2.70/2.97	tff('409', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | ~ app_encode_app($i, $o, cP, sk_Xy)
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['408', '215'])).
2.70/2.97	tff('410', plain,
2.70/2.97	    (~ app_encode_app($i, $o, cP, sk_Xy) | zip_tseitin1 | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['409'])).
2.70/2.97	tff('411', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.97	     | ~ zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['406', '410'])).
2.70/2.97	tff('412', plain,
2.70/2.97	    (zip_tseitin1
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | ~ zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.97	     | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('simplify', [status(thm)], ['411'])).
2.70/2.97	tff('413', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin0(X1, X0)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('sup-', [status(thm)], ['25', '347'])).
2.70/2.97	tff('414', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | zip_tseitin0(X1, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['413'])).
2.70/2.97	tff('415', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx2, sk_Xy) | zip_tseitin2 | zip_tseitin1),
2.70/2.97	    inference('condensation', [status(thm)], ['414'])).
2.70/2.97	tff('416', plain, (zip_tseitin2 | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('clc', [status(thm)], ['415', '128'])).
2.70/2.97	tff('417', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.97	     | ~ zip_tseitin0(sk_Xy, sk_Xx4)
2.70/2.97	     | zip_tseitin1),
2.70/2.97	    inference('clc', [status(thm)], ['412', '416'])).
2.70/2.97	tff('418', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin0(sk_Xx4, sk_Xx2)
2.70/2.97	     | zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | zip_tseitin0(sk_Xx2, sk_Xy)),
2.70/2.97	    inference('sup-', [status(thm)], ['400', '417'])).
2.70/2.97	tff('419', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx2, sk_Xy)
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | zip_tseitin2
2.70/2.97	     | zip_tseitin0(sk_Xx4, sk_Xx2)),
2.70/2.97	    inference('simplify', [status(thm)], ['418'])).
2.70/2.97	tff('420', plain,
2.70/2.97	    (zip_tseitin0(sk_Xx4, sk_Xx2) | zip_tseitin2 | zip_tseitin1),
2.70/2.97	    inference('clc', [status(thm)], ['419', '20'])).
2.70/2.97	tff('421', plain, (zip_tseitin2 | zip_tseitin0(sk_Xx4, sk_Xx2)),
2.70/2.97	    inference('clc', [status(thm)], ['420', '128'])).
2.70/2.97	tff('422', plain,
2.70/2.97	    (zip_tseitin2 | zip_tseitin0(sk_Xx4, sk_Xx2) | ~ zip_tseitin5),
2.70/2.97	    inference('clc', [status(thm)], ['397', '421'])).
2.70/2.97	tff('423', plain, (~ zip_tseitin5 | zip_tseitin0(sk_Xx4, sk_Xx2)),
2.70/2.97	    inference('clc', [status(thm)], ['422', '112'])).
2.70/2.97	tff('424', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['11', '12'])).
2.70/2.97	tff('425', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['424'])).
2.70/2.97	tff('426', plain,
2.70/2.97	    ![X0, X1, X2, X3]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(X3, X2)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.97	       | zip_tseitin0(X0, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['425', '22'])).
2.70/2.97	tff('427', plain,
2.70/2.97	    ![X0, X1, X2, X3]:
2.70/2.97	      (zip_tseitin0(X0, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X1)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin0(X3, X2)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['426'])).
2.70/2.97	tff('428', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X1)
2.70/2.97	       | zip_tseitin0(X1, X0)),
2.70/2.97	    inference('condensation', [status(thm)], ['427'])).
2.70/2.97	tff('429', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin0(X1, X0)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['428', '352'])).
2.70/2.97	tff('430', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx2, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['423', '429'])).
2.70/2.97	tff('431', plain,
2.70/2.97	    ![X23]: (zip_tseitin5 | zip_tseitin4 | zip_tseitin3(X23, sk_Xx6)),
2.70/2.97	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.70/2.97	tff('432', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['62', '6'])).
2.70/2.97	tff('433', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X1)
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['432'])).
2.70/2.97	tff('434', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['433', '43'])).
2.70/2.97	tff('435', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(X2, X1)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['362', '434'])).
2.70/2.97	tff('436', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | zip_tseitin3(X2, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['435'])).
2.70/2.97	tff('437', plain,
2.70/2.97	    ![X0]: (app_encode_app($i, $o, cQ, X0) | zip_tseitin3(sk_Xy4, X0)),
2.70/2.97	    inference('condensation', [status(thm)], ['436'])).
2.70/2.97	tff('438', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, X1)
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['437', '26'])).
2.70/2.97	tff('439', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | ~ zip_tseitin3(X0, X1)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['438'])).
2.70/2.97	tff('440', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('sup-', [status(thm)], ['431', '439'])).
2.70/2.97	tff('441', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, sk_Xx6)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['440'])).
2.70/2.97	tff('442', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('clc', [status(thm)], ['441', '352'])).
2.70/2.97	tff('443', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(X0, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['437', '1'])).
2.70/2.97	tff('444', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin3(X0, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['443'])).
2.70/2.97	tff('445', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(sk_Xy4, X1)
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | zip_tseitin3(X0, sk_Xx6)),
2.70/2.97	    inference('sup-', [status(thm)], ['442', '444'])).
2.70/2.97	tff('446', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xy4, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['445'])).
2.70/2.97	tff('447', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(X0, sk_Xx6) | zip_tseitin3(sk_Xy4, X0) | zip_tseitin5),
2.70/2.97	    inference('condensation', [status(thm)], ['446'])).
2.70/2.97	tff('448', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['251', '274'])).
2.70/2.97	tff('449', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['448'])).
2.70/2.97	tff('450', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['449', '6'])).
2.70/2.97	tff('451', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['450'])).
2.70/2.97	tff('452', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['14', '451'])).
2.70/2.97	tff('453', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['452'])).
2.70/2.97	tff('454', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | app_encode_app($i, $o, cP, sk_Xy3(X0))
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['5', '215'])).
2.70/2.97	tff('455', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | app_encode_app($i, $o, cP, sk_Xy3(X0))
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['454'])).
2.70/2.97	tff('456', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['455', '451'])).
2.70/2.97	tff('457', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['456'])).
2.70/2.97	tff('458', plain,
2.70/2.97	    (~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | ~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('clc', [status(thm)], ['457', '451'])).
2.70/2.97	tff('459', plain,
2.70/2.97	    ![X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)),
2.70/2.97	    inference('clc', [status(thm)], ['453', '458'])).
2.70/2.97	tff('460', plain,
2.70/2.97	    (~ zip_tseitin3(sk_Xy4, sk_Xx)
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('clc', [status(thm)], ['459', '458'])).
2.70/2.97	tff('461', plain,
2.70/2.97	    (zip_tseitin1 | ~ zip_tseitin2 | ~ zip_tseitin3(sk_Xy4, sk_Xx)),
2.70/2.97	    inference('clc', [status(thm)], ['460', '269'])).
2.70/2.97	tff('462', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin5
2.70/2.97	     | zip_tseitin3(sk_Xx, sk_Xx6)
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['447', '461'])).
2.70/2.97	tff('463', plain,
2.70/2.97	    (zip_tseitin1
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin3(sk_Xx, sk_Xx6)
2.70/2.97	     | zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['462'])).
2.70/2.97	tff('464', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin3(sk_Xx1, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['34', '1'])).
2.70/2.97	tff('465', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['464'])).
2.70/2.97	tff('466', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ zip_tseitin1
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin3(sk_Xx1, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['465', '35'])).
2.70/2.97	tff('467', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xx1, sk_Xx6)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['442', '466'])).
2.70/2.97	tff('468', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ zip_tseitin1
2.70/2.97	       | zip_tseitin3(sk_Xx1, sk_Xx6)
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin3(sk_Xy4, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['467'])).
2.70/2.97	tff('469', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xy4, X0)
2.70/2.97	       | zip_tseitin3(sk_Xx1, sk_Xx6)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('clc', [status(thm)], ['468', '113'])).
2.70/2.97	tff('470', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx1)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['34', '274'])).
2.70/2.97	tff('471', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['470'])).
2.70/2.97	tff('472', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx1)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['173', '471'])).
2.70/2.97	tff('473', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx1)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['472'])).
2.70/2.97	tff('474', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['473', '6'])).
2.70/2.97	tff('475', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx1)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['474'])).
2.70/2.97	tff('476', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(sk_Xy4, sk_Xx1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['475', '122'])).
2.70/2.97	tff('477', plain, (~ zip_tseitin3(sk_Xy4, sk_Xx1) | ~ zip_tseitin1),
2.70/2.97	    inference('clc', [status(thm)], ['476', '173'])).
2.70/2.97	tff('478', plain,
2.70/2.97	    (~ $true | ~ zip_tseitin1 | zip_tseitin3(sk_Xx1, sk_Xx6) | ~ zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['469', '477'])).
2.70/2.97	tff('479', plain, (zip_tseitin3(sk_Xx1, sk_Xx6) | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['478'])).
2.70/2.97	tff('480', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | ~ zip_tseitin1
2.70/2.97	     | zip_tseitin3(sk_Xy4, sk_Xx1)
2.70/2.97	     | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('sup-', [status(thm)], ['479', '439'])).
2.70/2.97	tff('481', plain,
2.70/2.97	    (app_encode_app($i, $o, cQ, sk_Xx6)
2.70/2.97	     | zip_tseitin3(sk_Xy4, sk_Xx1)
2.70/2.97	     | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['480'])).
2.70/2.97	tff('482', plain, (~ zip_tseitin1 | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('clc', [status(thm)], ['481', '477'])).
2.70/2.97	tff('483', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['482', '274'])).
2.70/2.97	tff('484', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['483'])).
2.70/2.97	tff('485', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['484', '466'])).
2.70/2.97	tff('486', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx1, X0) | ~ zip_tseitin3(X0, sk_Xx6) | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['485'])).
2.70/2.97	tff('487', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | zip_tseitin3(sk_Xx1, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['431', '486'])).
2.70/2.97	tff('488', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['487'])).
2.70/2.97	tff('489', plain,
2.70/2.97	    ![X0]: (zip_tseitin4 | ~ zip_tseitin1 | zip_tseitin3(sk_Xx1, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['488', '113'])).
2.70/2.97	tff('490', plain, ![X0]: (zip_tseitin3(sk_Xx1, X0) | ~ zip_tseitin1),
2.70/2.97	    inference('clc', [status(thm)], ['489', '352'])).
2.70/2.97	tff('491', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['34', '26'])).
2.70/2.97	tff('492', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['491'])).
2.70/2.97	tff('493', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['173', '492'])).
2.70/2.97	tff('494', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, X0)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['493'])).
2.70/2.97	tff('495', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, sk_Xy4)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['494', '6'])).
2.70/2.97	tff('496', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, sk_Xy4)
2.70/2.97	       | ~ zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['495'])).
2.70/2.97	tff('497', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ zip_tseitin1
2.70/2.97	       | ~ zip_tseitin3(sk_Xx1, sk_Xy4)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['496', '122'])).
2.70/2.97	tff('498', plain, (~ zip_tseitin3(sk_Xx1, sk_Xy4) | ~ zip_tseitin1),
2.70/2.97	    inference('clc', [status(thm)], ['497', '173'])).
2.70/2.97	tff('499', plain, (~ $true | ~ zip_tseitin1 | ~ zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['490', '498'])).
2.70/2.97	tff('500', plain, ~ zip_tseitin1,
2.70/2.97	    inference('simplify', [status(thm)], ['499'])).
2.70/2.97	tff('501', plain,
2.70/2.97	    (zip_tseitin5 | zip_tseitin3(sk_Xx, sk_Xx6) | ~ zip_tseitin2),
2.70/2.97	    inference('clc', [status(thm)], ['463', '500'])).
2.70/2.97	tff('502', plain, (~ zip_tseitin2 | zip_tseitin3(sk_Xx, sk_Xx6)),
2.70/2.97	    inference('clc', [status(thm)], ['501', '112'])).
2.70/2.97	tff('503', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['251', '26'])).
2.70/2.97	tff('504', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['503'])).
2.70/2.97	tff('505', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, X1)
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['504', '26'])).
2.70/2.97	tff('506', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | ~ zip_tseitin3(X0, X1)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, X0)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['505'])).
2.70/2.97	tff('507', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | ~ zip_tseitin3(sk_Xx, sk_Xx)
2.70/2.97	     | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('sup-', [status(thm)], ['502', '506'])).
2.70/2.97	tff('508', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | ~ $true
2.70/2.97	     | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('demod', [status(thm)], ['507', '306'])).
2.70/2.97	tff('509', plain,
2.70/2.97	    (app_encode_app($i, $o, cQ, sk_Xx6) | zip_tseitin1 | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['508'])).
2.70/2.97	tff('510', plain, (~ zip_tseitin2 | app_encode_app($i, $o, cQ, sk_Xx6)),
2.70/2.97	    inference('clc', [status(thm)], ['509', '500'])).
2.70/2.97	tff('511', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx6, X0)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['510', '26'])).
2.70/2.97	tff('512', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx6, X0)
2.70/2.97	       | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['511'])).
2.70/2.97	tff('513', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['224', '22'])).
2.70/2.97	tff('514', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['513'])).
2.70/2.97	tff('515', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['21', '514'])).
2.70/2.97	tff('516', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.97	    inference('simplify', [status(thm)], ['515'])).
2.70/2.97	tff('517', plain,
2.70/2.97	    (app_encode_app($i, $o, cQ, sk_Xx)
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('clc', [status(thm)], ['516', '251'])).
2.70/2.97	tff('518', plain,
2.70/2.97	    (zip_tseitin4 | ~ zip_tseitin2 | app_encode_app($i, $o, cQ, sk_Xx)),
2.70/2.97	    inference('clc', [status(thm)], ['517', '500'])).
2.70/2.97	tff('519', plain, (app_encode_app($i, $o, cQ, sk_Xx) | ~ zip_tseitin2),
2.70/2.97	    inference('clc', [status(thm)], ['518', '352'])).
2.70/2.97	tff('520', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['519', '1'])).
2.70/2.97	tff('521', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['520'])).
2.70/2.97	tff('522', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx6, X0)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin3(sk_Xx, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['512', '521'])).
2.70/2.97	tff('523', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin3(sk_Xx6, X0) | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['522'])).
2.70/2.97	tff('524', plain,
2.70/2.97	    (~ $true
2.70/2.97	     | zip_tseitin4
2.70/2.97	     | zip_tseitin5
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin3(sk_Xx, sk_Xx6)),
2.70/2.97	    inference('sup-', [status(thm)], ['431', '523'])).
2.70/2.97	tff('525', plain,
2.70/2.97	    (zip_tseitin3(sk_Xx, sk_Xx6)
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin5
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['524'])).
2.70/2.97	tff('526', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['510', '274'])).
2.70/2.97	tff('527', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['526'])).
2.70/2.97	tff('528', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin3(sk_Xx6, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['510', '1'])).
2.70/2.97	tff('529', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx6, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['528'])).
2.70/2.97	tff('530', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(X0, sk_Xx6)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin3(sk_Xx6, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['527', '529'])).
2.70/2.97	tff('531', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx6, X0) | ~ zip_tseitin3(X0, sk_Xx6) | ~ zip_tseitin2),
2.70/2.97	    inference('simplify', [status(thm)], ['530'])).
2.70/2.97	tff('532', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin3(sk_Xx6, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['431', '531'])).
2.70/2.97	tff('533', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin3(sk_Xx6, X0)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin5
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['532'])).
2.70/2.97	tff('534', plain,
2.70/2.97	    ![X0]: (zip_tseitin4 | zip_tseitin5 | zip_tseitin3(sk_Xx6, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['533', '126'])).
2.70/2.97	tff('535', plain, ![X0]: (zip_tseitin3(sk_Xx6, X0) | zip_tseitin5),
2.70/2.97	    inference('clc', [status(thm)], ['534', '352'])).
2.70/2.97	tff('536', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true | zip_tseitin5 | ~ zip_tseitin2 | zip_tseitin3(sk_Xx, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['535', '523'])).
2.70/2.97	tff('537', plain,
2.70/2.97	    ![X0]: (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin2 | zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['536'])).
2.70/2.97	tff('538', plain, ![X0]: (zip_tseitin5 | zip_tseitin3(sk_Xx, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['537', '126'])).
2.70/2.97	tff('539', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['504', '6'])).
2.70/2.97	tff('540', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['539'])).
2.70/2.97	tff('541', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['14', '540'])).
2.70/2.97	tff('542', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | app_encode_app($i, $o, cQ, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['541'])).
2.70/2.97	tff('543', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['455', '540'])).
2.70/2.97	tff('544', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['543'])).
2.70/2.97	tff('545', plain,
2.70/2.97	    (~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | ~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('clc', [status(thm)], ['544', '540'])).
2.70/2.97	tff('546', plain,
2.70/2.97	    ![X1]:
2.70/2.97	      (app_encode_app($i, $o, cQ, X1)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | ~ zip_tseitin2
2.70/2.97	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)),
2.70/2.97	    inference('clc', [status(thm)], ['542', '545'])).
2.70/2.97	tff('547', plain,
2.70/2.97	    (~ zip_tseitin3(sk_Xx, sk_Xy4)
2.70/2.97	     | ~ zip_tseitin2
2.70/2.97	     | zip_tseitin1
2.70/2.97	     | zip_tseitin4),
2.70/2.97	    inference('clc', [status(thm)], ['546', '545'])).
2.70/2.97	tff('548', plain,
2.70/2.97	    (zip_tseitin1 | ~ zip_tseitin2 | ~ zip_tseitin3(sk_Xx, sk_Xy4)),
2.70/2.97	    inference('clc', [status(thm)], ['547', '269'])).
2.70/2.97	tff('549', plain, (~ $true | zip_tseitin5 | ~ zip_tseitin2 | zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['538', '548'])).
2.70/2.97	tff('550', plain, (zip_tseitin1 | ~ zip_tseitin2 | zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['549'])).
2.70/2.97	tff('551', plain, (zip_tseitin5 | ~ zip_tseitin2),
2.70/2.97	    inference('clc', [status(thm)], ['550', '500'])).
2.70/2.97	tff('552', plain, ~ zip_tseitin2,
2.70/2.97	    inference('clc', [status(thm)], ['551', '112'])).
2.70/2.97	tff('553', plain, (zip_tseitin4 | zip_tseitin5 | ~ zip_tseitin2),
2.70/2.97	    inference('clc', [status(thm)], ['525', '552'])).
2.70/2.97	tff('554', plain, (~ zip_tseitin2 | zip_tseitin5),
2.70/2.97	    inference('clc', [status(thm)], ['553', '552'])).
2.70/2.97	tff('555', plain, zip_tseitin5,
2.70/2.97	    inference('clc', [status(thm)], ['554', '126'])).
2.70/2.97	tff('556', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ $true
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx2, X0)),
2.70/2.97	    inference('demod', [status(thm)], ['430', '555'])).
2.70/2.97	tff('557', plain,
2.70/2.97	    ![X0]: (zip_tseitin0(sk_Xx2, X0) | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['556'])).
2.70/2.97	tff('558', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cP, X2)
2.70/2.97	       | zip_tseitin0(X0, X2)
2.70/2.97	       | ~ zip_tseitin0(X1, X0)
2.70/2.97	       | app_encode_app($i, $o, cP, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['5', '96'])).
2.70/2.97	tff('559', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (app_encode_app($i, $o, cP, X1)
2.70/2.97	       | ~ zip_tseitin0(X1, X0)
2.70/2.97	       | zip_tseitin0(X0, X2)
2.70/2.97	       | app_encode_app($i, $o, cP, X2)),
2.70/2.97	    inference('simplify', [status(thm)], ['558'])).
2.70/2.97	tff('560', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin1
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | app_encode_app($i, $o, cP, X1)
2.70/2.97	       | zip_tseitin0(sk_Xx2, X1)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['20', '559'])).
2.70/2.97	tff('561', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx2, X1)
2.70/2.97	       | app_encode_app($i, $o, cP, X1)
2.70/2.97	       | zip_tseitin2
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('simplify', [status(thm)], ['560'])).
2.70/2.97	tff('562', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin1
2.70/2.97	       | zip_tseitin0(sk_Xx2, X0)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin2),
2.70/2.97	    inference('condensation', [status(thm)], ['561'])).
2.70/2.97	tff('563', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin2
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx2, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['562', '500'])).
2.70/2.97	tff('564', plain,
2.70/2.97	    ![X0]: (zip_tseitin0(sk_Xx2, X0) | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['563', '552'])).
2.70/2.97	tff('565', plain, ![X0]: zip_tseitin0(sk_Xx2, X0),
2.70/2.97	    inference('clc', [status(thm)], ['557', '564'])).
2.70/2.97	tff('566', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['386', '96'])).
2.70/2.97	tff('567', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['566'])).
2.70/2.97	tff('568', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['567', '393'])).
2.70/2.97	tff('569', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['568'])).
2.70/2.97	tff('570', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['11', '96'])).
2.70/2.97	tff('571', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['570'])).
2.70/2.97	tff('572', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['571', '71'])).
2.70/2.97	tff('573', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, sk_Xx4)
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['572'])).
2.70/2.97	tff('574', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx4) | zip_tseitin4),
2.70/2.97	    inference('condensation', [status(thm)], ['573'])).
2.70/2.97	tff('575', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin4 | ~ zip_tseitin0(X0, sk_Xx4) | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['569', '574'])).
2.70/2.97	tff('576', plain,
2.70/2.97	    ![X0]: (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx4)),
2.70/2.97	    inference('clc', [status(thm)], ['575', '352'])).
2.70/2.97	tff('577', plain, (~ $true | zip_tseitin0(sk_Xx4, sk_Xx2)),
2.70/2.97	    inference('sup-', [status(thm)], ['565', '576'])).
2.70/2.97	tff('578', plain, zip_tseitin0(sk_Xx4, sk_Xx2),
2.70/2.97	    inference('simplify', [status(thm)], ['577'])).
2.70/2.97	tff('579', plain,
2.70/2.97	    ![X0, X1, X2, X3]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(X3, X2)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, X1)
2.70/2.97	       | app_encode_app($i, $o, cP, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['425', '12'])).
2.70/2.97	tff('580', plain,
2.70/2.97	    ![X0, X1, X2, X3]:
2.70/2.97	      (app_encode_app($i, $o, cP, X1)
2.70/2.97	       | ~ zip_tseitin0(X0, X1)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | zip_tseitin0(X3, X2)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['579'])).
2.70/2.97	tff('581', plain,
2.70/2.97	    ![X0, X1, X2, X3]:
2.70/2.97	      (zip_tseitin0(X3, X2)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ zip_tseitin0(X0, X1)
2.70/2.97	       | app_encode_app($i, $o, cP, X1)),
2.70/2.97	    inference('clc', [status(thm)], ['580', '352'])).
2.70/2.97	tff('582', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx2, X0)
2.70/2.97	       | zip_tseitin0(X2, X1)),
2.70/2.97	    inference('sup-', [status(thm)], ['578', '581'])).
2.70/2.97	tff('583', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ $true
2.70/2.97	       | zip_tseitin0(X2, X1)),
2.70/2.97	    inference('demod', [status(thm)], ['582', '565'])).
2.70/2.97	tff('584', plain,
2.70/2.97	    ![X0, X1, X2]: (zip_tseitin0(X2, X1) | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('simplify', [status(thm)], ['583'])).
2.70/2.97	tff('585', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin4
2.70/2.97	       | zip_tseitin0(X1, X0)
2.70/2.97	       | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('sup-', [status(thm)], ['11', '359'])).
2.70/2.97	tff('586', plain,
2.70/2.97	    ![X0, X1]:
2.70/2.97	      (app_encode_app($i, $o, cP, sk_Xx4)
2.70/2.97	       | zip_tseitin0(X1, X0)
2.70/2.97	       | zip_tseitin4),
2.70/2.97	    inference('simplify', [status(thm)], ['585'])).
2.70/2.97	tff('587', plain,
2.70/2.97	    ![X0, X1]: (zip_tseitin0(X1, X0) | app_encode_app($i, $o, cP, sk_Xx4)),
2.70/2.97	    inference('clc', [status(thm)], ['586', '352'])).
2.70/2.97	tff('588', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true
2.70/2.97	       | zip_tseitin0(X2, X1)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['587', '22'])).
2.70/2.97	tff('589', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ app_encode_app($i, $o, cP, X0)
2.70/2.97	       | zip_tseitin0(X2, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['588'])).
2.70/2.97	tff('590', plain,
2.70/2.97	    ![X0]: (zip_tseitin0(sk_Xx4, X0) | ~ app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('condensation', [status(thm)], ['589'])).
2.70/2.97	tff('591', plain,
2.70/2.97	    ![X0, X1, X2]:
2.70/2.97	      (~ $true | zip_tseitin0(X2, X1) | zip_tseitin0(sk_Xx4, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['584', '590'])).
2.70/2.97	tff('592', plain,
2.70/2.97	    ![X0, X1, X2]: (zip_tseitin0(sk_Xx4, X0) | zip_tseitin0(X2, X1)),
2.70/2.97	    inference('simplify', [status(thm)], ['591'])).
2.70/2.97	tff('593', plain, ![X0]: zip_tseitin0(sk_Xx4, X0),
2.70/2.97	    inference('condensation', [status(thm)], ['592'])).
2.70/2.97	tff('594', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | app_encode_app($i, $o, cP, X0)),
2.70/2.97	    inference('sup-', [status(thm)], ['389', '12'])).
2.70/2.97	tff('595', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (app_encode_app($i, $o, cP, X0)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, X0)
2.70/2.97	       | ~ zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['594'])).
2.70/2.97	tff('596', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ $true
2.70/2.97	       | ~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | zip_tseitin1),
2.70/2.97	    inference('sup-', [status(thm)], ['595', '184'])).
2.70/2.97	tff('597', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (zip_tseitin1
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
2.70/2.97	       | ~ zip_tseitin5),
2.70/2.97	    inference('simplify', [status(thm)], ['596'])).
2.70/2.97	tff('598', plain,
2.70/2.97	    ![X0]:
2.70/2.97	      (~ zip_tseitin5
2.70/2.97	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
2.70/2.97	       | ~ app_encode_app($i, $o, cQ, X0)),
2.70/2.97	    inference('clc', [status(thm)], ['597', '113'])).
2.70/2.97	tff('599', plain,
2.70/2.97	    ![X0]: (~ $true | ~ app_encode_app($i, $o, cQ, X0) | ~ zip_tseitin5),
2.70/2.97	    inference('sup-', [status(thm)], ['593', '598'])).
2.70/2.97	tff('600', plain,
2.70/2.97	    ![X0]: (~ $true | ~ app_encode_app($i, $o, cQ, X0) | ~ $true),
2.70/2.97	    inference('demod', [status(thm)], ['599', '555'])).
2.70/2.97	tff('601', plain, ![X0]: ~ app_encode_app($i, $o, cQ, X0),
2.70/2.97	    inference('simplify', [status(thm)], ['600'])).
2.70/2.97	tff('602', plain,
2.70/2.97	    ![X0]: (~ $true | ~ zip_tseitin5 | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('sup-', [status(thm)], ['379', '601'])).
2.70/2.97	tff('603', plain, ![X0]: (~ $true | ~ $true | zip_tseitin3(X0, sk_Xy4)),
2.70/2.97	    inference('demod', [status(thm)], ['602', '555'])).
2.70/2.97	tff('604', plain, ![X0]: zip_tseitin3(X0, sk_Xy4),
2.70/2.97	    inference('simplify', [status(thm)], ['603'])).
2.70/2.97	tff('605', plain, (~ $true | ~ zip_tseitin5 | zip_tseitin4),
2.70/2.97	    inference('sup-', [status(thm)], ['604', '108'])).
2.70/2.97	tff('606', plain, (~ $true | ~ $true | zip_tseitin4),
2.70/2.97	    inference('demod', [status(thm)], ['605', '555'])).
2.70/2.97	tff('607', plain, zip_tseitin4, inference('simplify', [status(thm)], ['606'])).
2.70/2.97	tff('608', plain, ~ $true, inference('sup-', [status(thm)], ['607', '352'])).
2.70/2.97	tff('609', plain, $false, inference('simplify', [status(thm)], ['608'])).
2.70/2.97	
2.70/2.97	% SZS output end Refutation
2.70/2.97	EOF
