0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n082.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 15:53:54 CST 2018
3.63/3.89	% done 7136 iterations in 3.692s
3.63/3.89	% SZS status Theorem for 'stdin'
3.63/3.89	% SZS output start Refutation
3.63/3.90	tff(zf_stmt_4, conjecture,
3.63/3.90	  (((?[Xx]:
3.63/3.90	       (![Xy]: (app_encode_app($i,$o,cP,Xx) <=> app_encode_app($i,$o,cP,Xy)))) <=>
3.63/3.90	    ((?[Xx]: app_encode_app($i,$o,cQ,Xx)) <=>
3.63/3.90	     (![Xy]: app_encode_app($i,$o,cP,Xy)))) <=>
3.63/3.90	   ((?[Xx]:
3.63/3.90	       (![Xy]: (app_encode_app($i,$o,cQ,Xx) <=> app_encode_app($i,$o,cQ,Xy)))) <=>
3.63/3.90	    ((?[Xx]: app_encode_app($i,$o,cP,Xx)) <=>
3.63/3.90	     (![Xy]: app_encode_app($i,$o,cQ,Xy)))))).
3.63/3.90	tff(zf_stmt_0, axiom,
3.63/3.90	  (zip_tseitin2 <=> ((?[Xx]: (![Xy]: zip_tseitin0(Xy,Xx))) <=> zip_tseitin1))).
3.63/3.90	tff('0', plain,
3.63/3.90	    ![X6]: (~ zip_tseitin1 | zip_tseitin0(X6, sk_Xx3) | ~ zip_tseitin2),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.63/3.90	tff(zf_stmt_1, axiom,
3.63/3.90	  (zip_tseitin0(Xy,Xx) <=>
3.63/3.90	   (app_encode_app($i,$o,cP,Xx) <=> app_encode_app($i,$o,cP,Xy)))).
3.63/3.90	tff('1', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (zip_tseitin0(X0, X1)
3.63/3.90	       | app_encode_app($i, $o, cP, X0)
3.63/3.90	       | app_encode_app($i, $o, cP, X1)),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_1])).
3.63/3.90	tff(zf_stmt_2, axiom,
3.63/3.90	  (zip_tseitin1 <=>
3.63/3.90	   ((?[Xx]: app_encode_app($i,$o,cQ,Xx)) <=>
3.63/3.90	    (![Xy]: app_encode_app($i,$o,cP,Xy))))).
3.63/3.90	tff('2', plain,
3.63/3.90	    (~ app_encode_app($i, $o, cP, sk_Xy1)
3.63/3.90	     | app_encode_app($i, $o, cQ, sk_Xx1)
3.63/3.90	     | ~ zip_tseitin1),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
3.63/3.90	tff('3', plain,
3.63/3.90	    ![X2, X3]:
3.63/3.90	      (~ app_encode_app($i, $o, cQ, X2)
3.63/3.90	       | app_encode_app($i, $o, cP, X3)
3.63/3.90	       | ~ zip_tseitin1),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
3.63/3.90	tff('4', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (~ $true
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | app_encode_app($i, $o, cP, X0)),
3.63/3.90	    inference('sup-', [status(thm)], ['2', '3'])).
3.63/3.90	tff('5', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (app_encode_app($i, $o, cP, X0)
3.63/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.63/3.90	       | ~ zip_tseitin1),
3.63/3.90	    inference('simplify', [status(thm)], ['4'])).
3.63/3.90	tff('6', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (~ $true
3.63/3.90	       | app_encode_app($i, $o, cP, X1)
3.63/3.90	       | zip_tseitin0(sk_Xy1, X1)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | app_encode_app($i, $o, cP, X0)),
3.63/3.90	    inference('sup-', [status(thm)], ['1', '5'])).
3.63/3.90	tff('7', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (app_encode_app($i, $o, cP, X0)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | zip_tseitin0(sk_Xy1, X1)
3.63/3.90	       | app_encode_app($i, $o, cP, X1)),
3.63/3.90	    inference('simplify', [status(thm)], ['6'])).
3.63/3.90	tff('8', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (app_encode_app($i, $o, cP, X0)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | zip_tseitin0(sk_Xy1, X0)),
3.63/3.90	    inference('condensation', [status(thm)], ['7'])).
3.63/3.90	tff('9', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (~ app_encode_app($i, $o, cP, X0)
3.63/3.90	       | app_encode_app($i, $o, cP, X1)
3.63/3.90	       | ~ zip_tseitin0(X0, X1)),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_1])).
3.63/3.90	tff('10', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (~ $true
3.63/3.90	       | zip_tseitin0(sk_Xy1, X0)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | ~ zip_tseitin0(X0, X1)
3.63/3.90	       | app_encode_app($i, $o, cP, X1)),
3.63/3.90	    inference('sup-', [status(thm)], ['8', '9'])).
3.63/3.90	tff('11', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (app_encode_app($i, $o, cP, X1)
3.63/3.90	       | ~ zip_tseitin0(X0, X1)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | zip_tseitin0(sk_Xy1, X0)),
3.63/3.90	    inference('simplify', [status(thm)], ['10'])).
3.63/3.90	tff('12', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (~ $true
3.63/3.90	       | ~ zip_tseitin2
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | zip_tseitin0(sk_Xy1, X0)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | app_encode_app($i, $o, cP, sk_Xx3)),
3.63/3.90	    inference('sup-', [status(thm)], ['0', '11'])).
3.63/3.90	tff('13', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (app_encode_app($i, $o, cP, sk_Xx3)
3.63/3.90	       | zip_tseitin0(sk_Xy1, X0)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | ~ zip_tseitin2),
3.63/3.90	    inference('simplify', [status(thm)], ['12'])).
3.63/3.90	tff(zf_stmt_3, axiom,
3.63/3.90	  (zip_tseitin4 <=>
3.63/3.90	   ((?[Xx]: app_encode_app($i,$o,cP,Xx)) <=>
3.63/3.90	    (![Xy]: app_encode_app($i,$o,cQ,Xy))))).
3.63/3.90	tff('14', plain,
3.63/3.90	    ![X15]:
3.63/3.90	      (zip_tseitin4
3.63/3.90	       | app_encode_app($i, $o, cQ, X15)
3.63/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_3])).
3.63/3.90	tff(zf_stmt_4, axiom,
3.63/3.90	  (zip_tseitin3(Xy,Xx) <=>
3.63/3.90	   (app_encode_app($i,$o,cQ,Xx) <=> app_encode_app($i,$o,cQ,Xy)))).
3.63/3.90	tff('15', plain,
3.63/3.90	    ![X10, X11]:
3.63/3.90	      (zip_tseitin3(X10, X11)
3.63/3.90	       | ~ app_encode_app($i, $o, cQ, X10)
3.63/3.90	       | ~ app_encode_app($i, $o, cQ, X11)),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
3.63/3.90	tff('16', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (~ $true
3.63/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.63/3.90	       | zip_tseitin4
3.63/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.63/3.90	       | zip_tseitin3(X0, X1)),
3.63/3.90	    inference('sup-', [status(thm)], ['14', '15'])).
3.63/3.90	tff('17', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (zip_tseitin3(X0, X1)
3.63/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.63/3.90	       | zip_tseitin4
3.63/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)),
3.63/3.90	    inference('simplify', [status(thm)], ['16'])).
3.63/3.90	tff('18', plain,
3.63/3.90	    ![X0, X1]:
3.63/3.90	      (app_encode_app($i, $o, cP, sk_Xx4)
3.63/3.90	       | zip_tseitin4
3.63/3.90	       | zip_tseitin3(X0, X1)),
3.63/3.90	    inference('clc', [status(thm)], ['17', '14'])).
3.63/3.90	tff('19', plain,
3.63/3.90	    ![X10, X11]:
3.63/3.90	      (zip_tseitin3(X10, X11)
3.63/3.90	       | app_encode_app($i, $o, cQ, X10)
3.63/3.90	       | app_encode_app($i, $o, cQ, X11)),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
3.63/3.90	tff('20', plain,
3.63/3.90	    ![X0, X1, X2]:
3.63/3.90	      (~ $true
3.63/3.90	       | app_encode_app($i, $o, cQ, X2)
3.63/3.90	       | zip_tseitin3(X0, X2)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | app_encode_app($i, $o, cP, X1)),
3.63/3.90	    inference('sup-', [status(thm)], ['19', '3'])).
3.63/3.90	tff('21', plain,
3.63/3.90	    ![X0, X1, X2]:
3.63/3.90	      (app_encode_app($i, $o, cP, X1)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | zip_tseitin3(X0, X2)
3.63/3.90	       | app_encode_app($i, $o, cQ, X2)),
3.63/3.90	    inference('simplify', [status(thm)], ['20'])).
3.63/3.90	tff('22', plain,
3.63/3.90	    ![X0, X1, X2]:
3.63/3.90	      (zip_tseitin3(X0, X2) | ~ zip_tseitin1 | app_encode_app($i, $o, cP, X1)),
3.63/3.90	    inference('clc', [status(thm)], ['21', '3'])).
3.63/3.90	tff('23', plain,
3.63/3.90	    ![X10, X11]:
3.63/3.90	      (~ app_encode_app($i, $o, cQ, X11)
3.63/3.90	       | app_encode_app($i, $o, cQ, X10)
3.63/3.90	       | ~ zip_tseitin3(X10, X11)),
3.63/3.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
3.63/3.90	tff('24', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (~ $true
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.63/3.90	       | ~ zip_tseitin3(X0, sk_Xx1)
3.63/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.63/3.90	    inference('sup-', [status(thm)], ['2', '23'])).
3.63/3.90	tff('25', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (app_encode_app($i, $o, cQ, X0)
3.63/3.90	       | ~ zip_tseitin3(X0, sk_Xx1)
3.63/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.63/3.90	       | ~ zip_tseitin1),
3.63/3.90	    inference('simplify', [status(thm)], ['24'])).
3.63/3.90	tff('26', plain,
3.63/3.90	    ![X0, X1, X2]:
3.63/3.90	      (~ $true
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | zip_tseitin3(X2, X1)
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | ~ zip_tseitin3(X0, sk_Xx1)
3.63/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.63/3.90	    inference('sup-', [status(thm)], ['22', '25'])).
3.63/3.90	tff('27', plain,
3.63/3.90	    ![X0, X1, X2]:
3.63/3.90	      (app_encode_app($i, $o, cQ, X0)
3.63/3.90	       | ~ zip_tseitin3(X0, sk_Xx1)
3.63/3.90	       | zip_tseitin3(X2, X1)
3.63/3.90	       | ~ zip_tseitin1),
3.63/3.90	    inference('simplify', [status(thm)], ['26'])).
3.63/3.90	tff('28', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (~ $true
3.63/3.90	       | ~ zip_tseitin1
3.63/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.63/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.63/3.90	       | zip_tseitin3(sk_Xx1, X0)),
3.63/3.90	    inference('sup-', [status(thm)], ['2', '15'])).
3.63/3.90	tff('29', plain,
3.63/3.90	    ![X0]:
3.63/3.90	      (zip_tseitin3(sk_Xx1, X0)
3.63/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['28'])).
3.72/3.90	tff('30', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xx1, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['29', '3'])).
3.72/3.90	tff('31', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(X2, X1)
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx1)
3.72/3.90	       | zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['27', '30'])).
3.72/3.90	tff('32', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx1)
3.72/3.90	       | zip_tseitin3(X2, X1)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['31'])).
3.72/3.90	tff('33', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(sk_Xx1, X0) | ~ zip_tseitin3(X0, sk_Xx1) | ~ zip_tseitin1),
3.72/3.90	    inference('condensation', [status(thm)], ['32'])).
3.72/3.90	tff('34', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(sk_Xx1, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['18', '33'])).
3.72/3.90	tff('35', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['34'])).
3.72/3.90	tff('36', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['14', '3'])).
3.72/3.90	tff('37', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.90	    inference('simplify', [status(thm)], ['36'])).
3.72/3.90	tff('38', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin1 | zip_tseitin4),
3.72/3.90	    inference('condensation', [status(thm)], ['37'])).
3.72/3.90	tff('39', plain,
3.72/3.90	    (zip_tseitin4 | app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin1),
3.72/3.90	    inference('clc', [status(thm)], ['35', '38'])).
3.72/3.90	tff(zf_stmt_5, axiom,
3.72/3.90	  (zip_tseitin5 <=> ((?[Xx]: (![Xy]: zip_tseitin3(Xy,Xx))) <=> zip_tseitin4))).
3.72/3.90	tff('40', plain,
3.72/3.90	    ![X18]:
3.72/3.90	      (zip_tseitin5 | ~ zip_tseitin4 | ~ zip_tseitin3(sk_Xy6(X18), X18)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
3.72/3.90	tff('41', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin5),
3.72/3.90	    inference('sup-', [status(thm)], ['22', '40'])).
3.72/3.90	tff('42', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['41'])).
3.72/3.90	tff('43', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X1, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['1', '5'])).
3.72/3.90	tff('44', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(X1, sk_Xy1)
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['43'])).
3.72/3.90	tff('45', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, sk_Xy1)),
3.72/3.90	    inference('condensation', [status(thm)], ['44'])).
3.72/3.90	tff('46', plain,
3.72/3.90	    ![X14]:
3.72/3.90	      (zip_tseitin4
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, sk_Xy4)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X14)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_3])).
3.72/3.90	tff('47', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['14', '46'])).
3.72/3.90	tff('48', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.90	    inference('simplify', [status(thm)], ['47'])).
3.72/3.90	tff('49', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin0(X0, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['45', '48'])).
3.72/3.90	tff('50', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, sk_Xy1)),
3.72/3.90	    inference('simplify', [status(thm)], ['49'])).
3.72/3.90	tff('51', plain,
3.72/3.90	    ![X12, X13]:
3.72/3.90	      (~ app_encode_app($i, $o, cP, X12)
3.72/3.90	       | app_encode_app($i, $o, cQ, X13)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_3])).
3.72/3.90	tff('52', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X2)
3.72/3.90	       | zip_tseitin0(X0, X2)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['1', '51'])).
3.72/3.90	tff('53', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin0(X0, X2)
3.72/3.90	       | app_encode_app($i, $o, cP, X2)),
3.72/3.90	    inference('simplify', [status(thm)], ['52'])).
3.72/3.90	tff('54', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (zip_tseitin0(X0, X2) | ~ zip_tseitin4 | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['53', '51'])).
3.72/3.90	tff('55', plain,
3.72/3.90	    ![X1, X2, X3]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin0(X3, X2)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['54', '3'])).
3.72/3.90	tff('56', plain,
3.72/3.90	    ![X1, X2, X3]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(X3, X2)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['55'])).
3.72/3.90	tff('57', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(X0, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.90	    inference('clc', [status(thm)], ['50', '56'])).
3.72/3.90	tff('58', plain,
3.72/3.90	    ![X8]: (zip_tseitin2 | ~ zip_tseitin1 | ~ zip_tseitin0(sk_Xy2(X8), X8)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.72/3.90	tff('59', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin2),
3.72/3.90	    inference('sup-', [status(thm)], ['57', '58'])).
3.72/3.90	tff('60', plain,
3.72/3.90	    (zip_tseitin2 | ~ zip_tseitin1 | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.90	    inference('simplify', [status(thm)], ['59'])).
3.72/3.90	tff('61', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin0(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_1])).
3.72/3.90	tff('62', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['60', '61'])).
3.72/3.90	tff('63', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['62'])).
3.72/3.90	tff('64', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin0(X0, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['45', '63'])).
3.72/3.90	tff('65', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, sk_Xy1)),
3.72/3.90	    inference('simplify', [status(thm)], ['64'])).
3.72/3.90	tff('66', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | zip_tseitin0(sk_Xx4, sk_Xy2(sk_Xy1))
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin2),
3.72/3.90	    inference('sup-', [status(thm)], ['65', '58'])).
3.72/3.90	tff('67', plain,
3.72/3.90	    (zip_tseitin0(sk_Xx4, sk_Xy2(sk_Xy1)) | zip_tseitin2 | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['66'])).
3.72/3.90	tff('68', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xy2(sk_Xy1))),
3.72/3.90	    inference('sup-', [status(thm)], ['67', '11'])).
3.72/3.90	tff('69', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xy2(sk_Xy1))
3.72/3.90	     | zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['68'])).
3.72/3.90	tff('70', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, X1)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_1])).
3.72/3.90	tff('71', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['60', '70'])).
3.72/3.90	tff('72', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['71'])).
3.72/3.90	tff('73', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['72', '5'])).
3.72/3.90	tff('74', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['73'])).
3.72/3.90	tff('75', plain,
3.72/3.90	    (~ zip_tseitin1
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xy2(sk_Xy1))),
3.72/3.90	    inference('clc', [status(thm)], ['69', '74'])).
3.72/3.90	tff('76', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xy2(sk_Xy1), X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['75', '61'])).
3.72/3.90	tff('77', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xy2(sk_Xy1), X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['76'])).
3.72/3.90	tff('78', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin2),
3.72/3.90	    inference('sup-', [status(thm)], ['77', '58'])).
3.72/3.90	tff('79', plain,
3.72/3.90	    (~ app_encode_app($i, $o, cP, sk_Xy1) | ~ zip_tseitin1 | zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['78'])).
3.72/3.90	tff('80', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(X1, X0)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['22', '79'])).
3.72/3.90	tff('81', plain,
3.72/3.90	    ![X0, X1]: (zip_tseitin2 | zip_tseitin3(X1, X0) | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['80'])).
3.72/3.90	tff('82', plain,
3.72/3.90	    ![X17]:
3.72/3.90	      (~ zip_tseitin3(sk_Xy7(X17), X17) | zip_tseitin4 | ~ zip_tseitin5),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
3.72/3.90	tff('83', plain,
3.72/3.90	    (~ $true | ~ zip_tseitin1 | zip_tseitin2 | ~ zip_tseitin5 | zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['81', '82'])).
3.72/3.90	tff('84', plain,
3.72/3.90	    (zip_tseitin4 | ~ zip_tseitin5 | zip_tseitin2 | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['83'])).
3.72/3.90	tff('85', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2),
3.72/3.90	    inference('sup-', [status(thm)], ['54', '58'])).
3.72/3.90	tff('86', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['85'])).
3.72/3.90	tff('87', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['86', '3'])).
3.72/3.90	tff('88', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['87'])).
3.72/3.90	tff('89', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | zip_tseitin2
3.72/3.90	     | ~ zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['88', '79'])).
3.72/3.90	tff('90', plain, (zip_tseitin2 | ~ zip_tseitin1 | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['89'])).
3.72/3.90	tff('91', plain, (~ zip_tseitin1 | zip_tseitin2 | ~ zip_tseitin5),
3.72/3.90	    inference('clc', [status(thm)], ['84', '90'])).
3.72/3.90	tff(zf_stmt_6, type, zip_tseitin5 : $o).
3.72/3.90	tff(zf_stmt_7, type, zip_tseitin4 : $o).
3.72/3.90	tff(zf_stmt_8, type, zip_tseitin3 : ($i * $i) > $o).
3.72/3.90	tff(zf_stmt_9, type, zip_tseitin2 : $o).
3.72/3.90	tff(zf_stmt_10, type, zip_tseitin1 : $o).
3.72/3.90	tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i) > $o).
3.72/3.90	tff(zf_stmt_12, conjecture, (zip_tseitin2 <=> zip_tseitin5)).
3.72/3.90	tff(zf_stmt_13, negated_conjecture, (~(zip_tseitin2 <=> zip_tseitin5))).
3.72/3.90	tff('92', plain, (~ zip_tseitin5 | ~ zip_tseitin2),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_13])).
3.72/3.90	tff('93', plain, (~ zip_tseitin5 | ~ zip_tseitin1),
3.72/3.90	    inference('clc', [status(thm)], ['91', '92'])).
3.72/3.90	tff('94', plain,
3.72/3.90	    ![X1]: (app_encode_app($i, $o, cP, X1) | ~ zip_tseitin1 | ~ zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['42', '93'])).
3.72/3.90	tff('95', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['94', '51'])).
3.72/3.90	tff('96', plain,
3.72/3.90	    ![X1]: (app_encode_app($i, $o, cQ, X1) | ~ zip_tseitin1 | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['95'])).
3.72/3.90	tff('97', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['96', '15'])).
3.72/3.90	tff('98', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin3(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['97'])).
3.72/3.90	tff('99', plain,
3.72/3.90	    ![X0, X1]: (~ zip_tseitin4 | ~ zip_tseitin1 | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['98', '96'])).
3.72/3.90	tff('100', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | zip_tseitin5),
3.72/3.90	    inference('sup-', [status(thm)], ['99', '40'])).
3.72/3.90	tff('101', plain, (zip_tseitin5 | ~ zip_tseitin4 | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['100'])).
3.72/3.90	tff('102', plain, (~ zip_tseitin1 | ~ zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['101', '93'])).
3.72/3.90	tff('103', plain, (~ zip_tseitin1 | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.90	    inference('clc', [status(thm)], ['39', '102'])).
3.72/3.90	tff('104', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['103', '61'])).
3.72/3.90	tff('105', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['104'])).
3.72/3.90	tff('106', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy1, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xx4, sk_Xx3)),
3.72/3.90	    inference('sup-', [status(thm)], ['13', '105'])).
3.72/3.90	tff('107', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, sk_Xx3)
3.72/3.90	       | zip_tseitin0(sk_Xy1, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['106'])).
3.72/3.90	tff('108', plain,
3.72/3.90	    (~ zip_tseitin2 | ~ zip_tseitin1 | zip_tseitin0(sk_Xx4, sk_Xx3)),
3.72/3.90	    inference('clc', [status(thm)], ['107', '0'])).
3.72/3.90	tff('109', plain, (zip_tseitin5 | zip_tseitin2),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_13])).
3.72/3.90	tff('110', plain, (~ $true | zip_tseitin2 | ~ zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['109', '93'])).
3.72/3.90	tff('111', plain, (~ zip_tseitin1 | zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['110'])).
3.72/3.90	tff('112', plain, (zip_tseitin0(sk_Xx4, sk_Xx3) | ~ zip_tseitin1),
3.72/3.90	    inference('clc', [status(thm)], ['108', '111'])).
3.72/3.90	tff('113', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	     | ~ zip_tseitin1
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx3)),
3.72/3.90	    inference('sup-', [status(thm)], ['112', '11'])).
3.72/3.90	tff('114', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xx3)
3.72/3.90	     | zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	     | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['113'])).
3.72/3.90	tff('115', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['103', '70'])).
3.72/3.90	tff('116', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['115'])).
3.72/3.90	tff('117', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['116', '5'])).
3.72/3.90	tff('118', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(sk_Xy1, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['117'])).
3.72/3.90	tff('119', plain, (~ zip_tseitin1 | app_encode_app($i, $o, cP, sk_Xx3)),
3.72/3.90	    inference('clc', [status(thm)], ['114', '118'])).
3.72/3.90	tff('120', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx3)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['119', '70'])).
3.72/3.90	tff('121', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx3)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['120'])).
3.72/3.90	tff('122', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx3)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['121', '105'])).
3.72/3.90	tff('123', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx3) | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['122'])).
3.72/3.90	tff('124', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['0', '123'])).
3.72/3.90	tff('125', plain,
3.72/3.90	    ![X0]: (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin1 | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['124'])).
3.72/3.90	tff('126', plain, ![X0]: (~ zip_tseitin1 | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['125', '111'])).
3.72/3.90	tff('127', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['103', '9'])).
3.72/3.90	tff('128', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['127'])).
3.72/3.90	tff('129', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin0(sk_Xx4, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['128', '5'])).
3.72/3.90	tff('130', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(sk_Xx4, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['129'])).
3.72/3.90	tff('131', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['126', '130'])).
3.72/3.90	tff('132', plain, ![X0]: (app_encode_app($i, $o, cP, X0) | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['131'])).
3.72/3.90	tff('133', plain,
3.72/3.90	    ![X19]: (zip_tseitin5 | zip_tseitin4 | zip_tseitin3(X19, sk_Xx6)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
3.72/3.90	tff('134', plain,
3.72/3.90	    ![X10, X11]:
3.72/3.90	      (~ app_encode_app($i, $o, cQ, X10)
3.72/3.90	       | app_encode_app($i, $o, cQ, X11)
3.72/3.90	       | ~ zip_tseitin3(X10, X11)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_4])).
3.72/3.90	tff('135', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['2', '134'])).
3.72/3.90	tff('136', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy1)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['135'])).
3.72/3.90	tff('137', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['132', '136'])).
3.72/3.90	tff('138', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['137'])).
3.72/3.90	tff('139', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['19', '46'])).
3.72/3.90	tff('140', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin4
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X1)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['139'])).
3.72/3.90	tff('141', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['140', '51'])).
3.72/3.90	tff('142', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['38', '141'])).
3.72/3.90	tff('143', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['142'])).
3.72/3.90	tff('144', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['143', '102'])).
3.72/3.90	tff('145', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['144', '15'])).
3.72/3.90	tff('146', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin3(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['145'])).
3.72/3.90	tff('147', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X1)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(X1, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['138', '146'])).
3.72/3.90	tff('148', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin3(X1, X0)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X1)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx1, X0)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['147'])).
3.72/3.90	tff('149', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | zip_tseitin5
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.90	       | zip_tseitin3(X0, sk_Xx6)),
3.72/3.90	    inference('sup-', [status(thm)], ['133', '148'])).
3.72/3.90	tff('150', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(X0, sk_Xx6)
3.72/3.90	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin5
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['149'])).
3.72/3.90	tff('151', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin4
3.72/3.90	       | zip_tseitin5
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | zip_tseitin3(X0, sk_Xx6)),
3.72/3.90	    inference('clc', [status(thm)], ['150', '133'])).
3.72/3.90	tff('152', plain,
3.72/3.90	    ![X9]: (zip_tseitin2 | zip_tseitin1 | zip_tseitin0(X9, sk_Xx2)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.72/3.90	tff('153', plain,
3.72/3.90	    ![X5]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, X5)
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xx)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
3.72/3.90	tff('154', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xx)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['153', '61'])).
3.72/3.90	tff('155', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin0(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xx)),
3.72/3.90	    inference('simplify', [status(thm)], ['154'])).
3.72/3.90	tff('156', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cQ, sk_Xx)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['155', '153'])).
3.72/3.90	tff('157', plain,
3.72/3.90	    ![X4]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cP, sk_Xy)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X4)),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_2])).
3.72/3.90	tff('158', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(sk_Xy, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['1', '157'])).
3.72/3.90	tff('159', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin0(sk_Xy, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['158'])).
3.72/3.90	tff('160', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(sk_Xy, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['159', '3'])).
3.72/3.90	tff('161', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin0(X2, X1)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['156', '160'])).
3.72/3.90	tff('162', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X2, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['161'])).
3.72/3.90	tff('163', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('condensation', [status(thm)], ['162'])).
3.72/3.90	tff('164', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X1, sk_Xy)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['1', '157'])).
3.72/3.90	tff('165', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin0(X1, sk_Xy)
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['164'])).
3.72/3.90	tff('166', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X1, sk_Xy)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['165', '3'])).
3.72/3.90	tff('167', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin0(X2, X1)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['156', '166'])).
3.72/3.90	tff('168', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X2, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['167'])).
3.72/3.90	tff('169', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('condensation', [status(thm)], ['168'])).
3.72/3.90	tff('170', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['169', '61'])).
3.72/3.90	tff('171', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin0(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['170'])).
3.72/3.90	tff('172', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X1, sk_Xy)
3.72/3.90	       | zip_tseitin0(X1, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['163', '171'])).
3.72/3.90	tff('173', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin0(X1, X0)
3.72/3.90	       | zip_tseitin0(X1, sk_Xy)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['172'])).
3.72/3.90	tff('174', plain,
3.72/3.90	    ![X7]: (~ zip_tseitin0(sk_Xy3(X7), X7) | zip_tseitin1 | ~ zip_tseitin2),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.72/3.90	tff('175', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['173', '174'])).
3.72/3.90	tff('176', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['175'])).
3.72/3.90	tff('177', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['1', '48'])).
3.72/3.90	tff('178', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin0(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['177'])).
3.72/3.90	tff('179', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin0(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['178', '48'])).
3.72/3.90	tff('180', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | zip_tseitin4
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['179', '174'])).
3.72/3.90	tff('181', plain,
3.72/3.90	    (zip_tseitin1
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	     | zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['180'])).
3.72/3.90	tff('182', plain,
3.72/3.90	    (zip_tseitin4 | app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin2),
3.72/3.90	    inference('clc', [status(thm)], ['181', '38'])).
3.72/3.90	tff('183', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | zip_tseitin0(X0, sk_Xx4)),
3.72/3.90	    inference('sup-', [status(thm)], ['182', '171'])).
3.72/3.90	tff('184', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | zip_tseitin0(X0, sk_Xy)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin4
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['183'])).
3.72/3.90	tff('185', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin4
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4)
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['184', '174'])).
3.72/3.90	tff('186', plain,
3.72/3.90	    (zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4)
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | zip_tseitin4
3.72/3.90	     | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['185'])).
3.72/3.90	tff('187', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X0)
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xy3(X0))
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['1', '174'])).
3.72/3.90	tff('188', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xy3(X0))
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['187'])).
3.72/3.90	tff('189', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['188', '48'])).
3.72/3.90	tff('190', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['189'])).
3.72/3.90	tff('191', plain,
3.72/3.90	    (zip_tseitin4
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | ~ zip_tseitin2),
3.72/3.90	    inference('condensation', [status(thm)], ['190'])).
3.72/3.90	tff('192', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['54', '174'])).
3.72/3.90	tff('193', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('simplify', [status(thm)], ['192'])).
3.72/3.90	tff('194', plain,
3.72/3.90	    ![X0]: (~ $true | app_encode_app($i, $o, cQ, X0) | zip_tseitin3(X0, X0)),
3.72/3.90	    inference('eq_fact', [status(thm)], ['19'])).
3.72/3.90	tff('195', plain,
3.72/3.90	    ![X0]: (zip_tseitin3(X0, X0) | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['194'])).
3.72/3.90	tff('196', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin3(X0, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['195', '15'])).
3.72/3.90	tff('197', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin3(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['196'])).
3.72/3.90	tff('198', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin3(X0, X0)
3.72/3.90	       | zip_tseitin3(X1, X1)
3.72/3.90	       | zip_tseitin3(X1, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['195', '197'])).
3.72/3.90	tff('199', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin3(X1, X0) | zip_tseitin3(X1, X1) | zip_tseitin3(X0, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['198'])).
3.72/3.90	tff('200', plain,
3.72/3.90	    ![X0]: (~ $true | zip_tseitin3(X0, X0) | zip_tseitin3(X0, X0)),
3.72/3.90	    inference('eq_fact', [status(thm)], ['199'])).
3.72/3.90	tff('201', plain, ![X0]: zip_tseitin3(X0, X0),
3.72/3.90	    inference('simplify', [status(thm)], ['200'])).
3.72/3.90	tff('202', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xx)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['153', '51'])).
3.72/3.90	tff('203', plain,
3.72/3.90	    ![X1]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xx)),
3.72/3.90	    inference('simplify', [status(thm)], ['202'])).
3.72/3.90	tff('204', plain,
3.72/3.90	    (app_encode_app($i, $o, cQ, sk_Xx) | ~ zip_tseitin4 | zip_tseitin1),
3.72/3.90	    inference('condensation', [status(thm)], ['203'])).
3.72/3.90	tff('205', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['204', '134'])).
3.72/3.90	tff('206', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['205'])).
3.72/3.90	tff('207', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['206', '15'])).
3.72/3.90	tff('208', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin3(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['207'])).
3.72/3.90	tff('209', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['208', '102'])).
3.72/3.90	tff('210', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['201', '209'])).
3.72/3.90	tff('211', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['210'])).
3.72/3.90	tff('212', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['193', '211'])).
3.72/3.90	tff('213', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['212'])).
3.72/3.90	tff('214', plain,
3.72/3.90	    ![X0]: (~ zip_tseitin4 | ~ zip_tseitin2 | zip_tseitin3(sk_Xx, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['213', '102'])).
3.72/3.90	tff('215', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin3(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['214', '209'])).
3.72/3.90	tff('216', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['215'])).
3.72/3.90	tff('217', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin3(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['206', '134'])).
3.72/3.90	tff('218', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin3(X0, X1)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['217'])).
3.72/3.90	tff('219', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin3(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['218', '102'])).
3.72/3.90	tff('220', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['201', '219'])).
3.72/3.90	tff('221', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['220'])).
3.72/3.90	tff('222', plain,
3.72/3.90	    (~ app_encode_app($i, $o, cQ, sk_Xy5)
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx5)
3.72/3.90	     | ~ zip_tseitin4),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_3])).
3.72/3.90	tff('223', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx5)),
3.72/3.90	    inference('sup-', [status(thm)], ['221', '222'])).
3.72/3.90	tff('224', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xx5)
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin3(sk_Xx, sk_Xy5)),
3.72/3.90	    inference('simplify', [status(thm)], ['223'])).
3.72/3.90	tff('225', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['224', '51'])).
3.72/3.90	tff('226', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)),
3.72/3.90	    inference('simplify', [status(thm)], ['225'])).
3.72/3.90	tff('227', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['214', '226'])).
3.72/3.90	tff('228', plain,
3.72/3.90	    ![X0]: (app_encode_app($i, $o, cQ, X0) | ~ zip_tseitin4 | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['227'])).
3.72/3.90	tff('229', plain,
3.72/3.90	    ![X0, X1]: (~ zip_tseitin2 | ~ zip_tseitin4 | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['216', '228'])).
3.72/3.90	tff('230', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | zip_tseitin5),
3.72/3.90	    inference('sup-', [status(thm)], ['229', '40'])).
3.72/3.90	tff('231', plain, (zip_tseitin5 | ~ zip_tseitin2 | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['230'])).
3.72/3.90	tff('232', plain, (~ zip_tseitin4 | ~ zip_tseitin2),
3.72/3.90	    inference('clc', [status(thm)], ['231', '92'])).
3.72/3.90	tff('233', plain,
3.72/3.90	    (~ zip_tseitin2 | zip_tseitin1 | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.90	    inference('clc', [status(thm)], ['191', '232'])).
3.72/3.90	tff('234', plain, (app_encode_app($i, $o, cP, sk_Xx4) | ~ zip_tseitin2),
3.72/3.90	    inference('clc', [status(thm)], ['233', '132'])).
3.72/3.90	tff('235', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['234', '70'])).
3.72/3.90	tff('236', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['235'])).
3.72/3.90	tff('237', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['234', '61'])).
3.72/3.90	tff('238', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['237'])).
3.72/3.90	tff('239', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['236', '238'])).
3.72/3.90	tff('240', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx4) | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['239'])).
3.72/3.90	tff('241', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin4
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin0(sk_Xx4, sk_Xy3(sk_Xy))),
3.72/3.90	    inference('sup-', [status(thm)], ['186', '240'])).
3.72/3.90	tff('242', plain,
3.72/3.90	    (zip_tseitin0(sk_Xx4, sk_Xy3(sk_Xy))
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | zip_tseitin4
3.72/3.90	     | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['241'])).
3.72/3.90	tff('243', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | zip_tseitin0(X0, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['132', '61'])).
3.72/3.90	tff('244', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (zip_tseitin0(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.90	       | ~ zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['243'])).
3.72/3.90	tff('245', plain, ![X0, X1]: (~ zip_tseitin1 | zip_tseitin0(X0, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['244', '132'])).
3.72/3.90	tff('246', plain,
3.72/3.90	    (~ zip_tseitin2 | zip_tseitin4 | zip_tseitin0(sk_Xx4, sk_Xy3(sk_Xy))),
3.72/3.90	    inference('clc', [status(thm)], ['242', '245'])).
3.72/3.90	tff('247', plain, (zip_tseitin0(sk_Xx4, sk_Xy3(sk_Xy)) | ~ zip_tseitin2),
3.72/3.90	    inference('clc', [status(thm)], ['246', '232'])).
3.72/3.90	tff('248', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['163', '9'])).
3.72/3.90	tff('249', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | ~ zip_tseitin0(X0, X1)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['248'])).
3.72/3.90	tff('250', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | zip_tseitin0(sk_Xy, sk_Xx4)
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xy3(sk_Xy))),
3.72/3.90	    inference('sup-', [status(thm)], ['247', '249'])).
3.72/3.90	tff('251', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xy3(sk_Xy))
3.72/3.90	     | zip_tseitin0(sk_Xy, sk_Xx4)
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['250'])).
3.72/3.90	tff('252', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | app_encode_app($i, $o, cQ, sk_Xx)
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['156', '174'])).
3.72/3.90	tff('253', plain,
3.72/3.90	    (~ zip_tseitin2 | app_encode_app($i, $o, cQ, sk_Xx) | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['252'])).
3.72/3.90	tff('254', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin0(sk_Xy, sk_Xx4)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['236', '157'])).
3.72/3.90	tff('255', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin0(sk_Xy, sk_Xx4)
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['254'])).
3.72/3.90	tff('256', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | ~ zip_tseitin2
3.72/3.90	     | ~ zip_tseitin0(sk_Xy, sk_Xx4)
3.72/3.90	     | zip_tseitin1),
3.72/3.90	    inference('sup-', [status(thm)], ['253', '255'])).
3.72/3.90	tff('257', plain,
3.72/3.90	    (~ zip_tseitin0(sk_Xy, sk_Xx4) | ~ zip_tseitin2 | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['256'])).
3.72/3.90	tff('258', plain,
3.72/3.90	    (~ zip_tseitin2
3.72/3.90	     | zip_tseitin1
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xy3(sk_Xy))),
3.72/3.90	    inference('clc', [status(thm)], ['251', '257'])).
3.72/3.90	tff('259', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xy3(sk_Xy)) | ~ zip_tseitin2),
3.72/3.90	    inference('clc', [status(thm)], ['258', '132'])).
3.72/3.90	tff('260', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['259', '9'])).
3.72/3.90	tff('261', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('simplify', [status(thm)], ['260'])).
3.72/3.90	tff('262', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['176', '261'])).
3.72/3.90	tff('263', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['262'])).
3.72/3.90	tff('264', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin1
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | app_encode_app($i, $o, cP, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['263', '163'])).
3.72/3.90	tff('265', plain,
3.72/3.90	    ![X0]: (app_encode_app($i, $o, cP, X0) | zip_tseitin0(sk_Xy, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['264', '245'])).
3.72/3.90	tff('266', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | ~ zip_tseitin0(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cP, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['265', '9'])).
3.72/3.90	tff('267', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, X1)
3.72/3.90	       | ~ zip_tseitin0(X0, X1)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['266'])).
3.72/3.90	tff('268', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx2)),
3.72/3.90	    inference('sup-', [status(thm)], ['152', '267'])).
3.72/3.90	tff('269', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, sk_Xx2)
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['268'])).
3.72/3.90	tff('270', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx2)),
3.72/3.90	    inference('clc', [status(thm)], ['269', '111'])).
3.72/3.90	tff('271', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin0(X1, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx5)),
3.72/3.90	    inference('sup-', [status(thm)], ['54', '222'])).
3.72/3.90	tff('272', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cP, sk_Xx5)
3.72/3.90	       | zip_tseitin0(X1, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['271'])).
3.72/3.90	tff('273', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin0(X2, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(sk_Xx5, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['272', '61'])).
3.72/3.90	tff('274', plain,
3.72/3.90	    ![X0, X1, X2]:
3.72/3.90	      (zip_tseitin0(sk_Xx5, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | zip_tseitin0(X2, X1)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['273'])).
3.72/3.90	tff('275', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx5, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('condensation', [status(thm)], ['274'])).
3.72/3.90	tff('276', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin0(sk_Xx5, sk_Xx2)),
3.72/3.90	    inference('sup-', [status(thm)], ['270', '275'])).
3.72/3.90	tff('277', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xx5, sk_Xx2)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin2
3.72/3.90	       | zip_tseitin0(sk_Xy, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['276'])).
3.72/3.90	tff('278', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin0(sk_Xy, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin0(sk_Xx5, sk_Xx2)),
3.72/3.90	    inference('clc', [status(thm)], ['277', '232'])).
3.72/3.90	tff('279', plain,
3.72/3.90	    ![X16]: (~ zip_tseitin4 | zip_tseitin3(X16, sk_Xx7) | ~ zip_tseitin5),
3.72/3.90	    inference('cnf', [status(esa)], [zf_stmt_5])).
3.72/3.90	tff('280', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin3(X1, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['206', '23'])).
3.72/3.90	tff('281', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin3(X1, X0)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['280'])).
3.72/3.90	tff('282', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin3(X1, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['281', '102'])).
3.72/3.90	tff('283', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx7)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['279', '282'])).
3.72/3.90	tff('284', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin3(X0, sk_Xx7)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin5),
3.72/3.90	    inference('simplify', [status(thm)], ['283'])).
3.72/3.90	tff('285', plain,
3.72/3.90	    ![X0]: (~ zip_tseitin5 | ~ zip_tseitin4 | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('clc', [status(thm)], ['284', '279'])).
3.72/3.90	tff('286', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['285', '211'])).
3.72/3.90	tff('287', plain,
3.72/3.90	    ![X0]: (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin5 | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['286'])).
3.72/3.90	tff('288', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | zip_tseitin3(X0, X1)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['287', '209'])).
3.72/3.90	tff('289', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | zip_tseitin3(X0, X1)
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['288'])).
3.72/3.90	tff('290', plain,
3.72/3.90	    ![X0, X1]: (~ zip_tseitin4 | ~ zip_tseitin5 | zip_tseitin3(X0, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['289', '285'])).
3.72/3.90	tff('291', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xy5, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cP, sk_Xx5)),
3.72/3.90	    inference('sup-', [status(thm)], ['19', '222'])).
3.72/3.90	tff('292', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cP, sk_Xx5)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin3(sk_Xy5, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['291'])).
3.72/3.90	tff('293', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xy5, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['292', '51'])).
3.72/3.90	tff('294', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin3(sk_Xx7, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['279', '209'])).
3.72/3.90	tff('295', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xx7, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin5),
3.72/3.90	    inference('simplify', [status(thm)], ['294'])).
3.72/3.90	tff('296', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin3(sk_Xy5, X0)
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin3(sk_Xx7, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['293', '295'])).
3.72/3.90	tff('297', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(sk_Xx7, X0)
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | zip_tseitin3(sk_Xy5, X0)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['296'])).
3.72/3.90	tff('298', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('sup-', [status(thm)], ['201', '282'])).
3.72/3.90	tff('299', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['298'])).
3.72/3.90	tff('300', plain,
3.72/3.90	    (~ $true
3.72/3.90	     | ~ zip_tseitin3(sk_Xy5, sk_Xx)
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | app_encode_app($i, $o, cP, sk_Xx5)),
3.72/3.90	    inference('sup-', [status(thm)], ['299', '222'])).
3.72/3.90	tff('301', plain,
3.72/3.90	    (app_encode_app($i, $o, cP, sk_Xx5)
3.72/3.90	     | ~ zip_tseitin4
3.72/3.90	     | ~ zip_tseitin3(sk_Xy5, sk_Xx)),
3.72/3.90	    inference('simplify', [status(thm)], ['300'])).
3.72/3.90	tff('302', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin3(sk_Xy5, sk_Xx)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['301', '51'])).
3.72/3.90	tff('303', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(sk_Xy5, sk_Xx)),
3.72/3.90	    inference('simplify', [status(thm)], ['302'])).
3.72/3.90	tff('304', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | zip_tseitin3(sk_Xx7, sk_Xx)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['297', '303'])).
3.72/3.90	tff('305', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xx7, sk_Xx)
3.72/3.90	       | ~ zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4),
3.72/3.90	    inference('simplify', [status(thm)], ['304'])).
3.72/3.90	tff('306', plain,
3.72/3.90	    (~ zip_tseitin4 | ~ zip_tseitin5 | zip_tseitin3(sk_Xx7, sk_Xx)),
3.72/3.90	    inference('clc', [status(thm)], ['305', '290'])).
3.72/3.90	tff('307', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xy6(X0))
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin5),
3.72/3.90	    inference('sup-', [status(thm)], ['19', '40'])).
3.72/3.90	tff('308', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, sk_Xy6(X0))
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['307'])).
3.72/3.90	tff('309', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['253', '15'])).
3.72/3.90	tff('310', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(sk_Xx, X0)
3.72/3.90	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['309'])).
3.72/3.90	tff('311', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin5
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin3(sk_Xx, sk_Xy6(X0))),
3.72/3.90	    inference('sup-', [status(thm)], ['308', '310'])).
3.72/3.90	tff('312', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (zip_tseitin3(sk_Xx, sk_Xy6(X0))
3.72/3.90	       | ~ zip_tseitin2
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | zip_tseitin5
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('simplify', [status(thm)], ['311'])).
3.72/3.90	tff('313', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin5
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin2),
3.72/3.90	    inference('clc', [status(thm)], ['312', '232'])).
3.72/3.90	tff('314', plain,
3.72/3.90	    (~ zip_tseitin2 | zip_tseitin1 | zip_tseitin5 | ~ zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['313', '232'])).
3.72/3.90	tff('315', plain, (~ zip_tseitin4 | zip_tseitin5 | zip_tseitin1),
3.72/3.90	    inference('clc', [status(thm)], ['314', '109'])).
3.72/3.90	tff('316', plain, (zip_tseitin5 | ~ zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['315', '102'])).
3.72/3.90	tff('317', plain, (zip_tseitin3(sk_Xx7, sk_Xx) | ~ zip_tseitin4),
3.72/3.90	    inference('clc', [status(thm)], ['306', '316'])).
3.72/3.90	tff('318', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.90	    inference('sup-', [status(thm)], ['204', '23'])).
3.72/3.90	tff('319', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['318'])).
3.72/3.90	tff('320', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ $true
3.72/3.90	       | zip_tseitin1
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | ~ zip_tseitin3(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('sup-', [status(thm)], ['319', '134'])).
3.72/3.90	tff('321', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (app_encode_app($i, $o, cQ, X1)
3.72/3.90	       | ~ zip_tseitin3(X0, X1)
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | zip_tseitin1),
3.72/3.90	    inference('simplify', [status(thm)], ['320'])).
3.72/3.90	tff('322', plain,
3.72/3.90	    ![X0, X1]:
3.72/3.90	      (~ zip_tseitin4
3.72/3.90	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.90	       | ~ zip_tseitin3(X0, X1)
3.72/3.90	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.90	    inference('clc', [status(thm)], ['321', '102'])).
3.72/3.90	tff('323', plain,
3.72/3.90	    ![X0]:
3.72/3.90	      (~ $true
3.72/3.90	       | ~ zip_tseitin4
3.72/3.90	       | app_encode_app($i, $o, cQ, X0)
3.72/3.90	       | ~ zip_tseitin3(sk_Xx7, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['317', '322'])).
3.72/3.91	tff('324', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin3(sk_Xx7, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['323'])).
3.72/3.91	tff('325', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xx7, X0)
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['324', '211'])).
3.72/3.91	tff('326', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin3(sk_Xx7, X0) | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['325'])).
3.72/3.91	tff('327', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['290', '326'])).
3.72/3.91	tff('328', plain,
3.72/3.91	    ![X0]: (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin4 | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['327'])).
3.72/3.91	tff('329', plain, ![X0]: (~ zip_tseitin4 | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['328', '316'])).
3.72/3.91	tff('330', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx5)),
3.72/3.91	    inference('sup-', [status(thm)], ['206', '222'])).
3.72/3.91	tff('331', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xx5)
3.72/3.91	     | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['330'])).
3.72/3.91	tff('332', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx5)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['331', '70'])).
3.72/3.91	tff('333', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx5)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['332'])).
3.72/3.91	tff('334', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx5)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['333', '102'])).
3.72/3.91	tff('335', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx5)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['329', '334'])).
3.72/3.91	tff('336', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin0(X0, sk_Xx5)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['335'])).
3.72/3.91	tff('337', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xy, sk_Xx5)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['336', '157'])).
3.72/3.91	tff('338', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xy, sk_Xx5)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['337'])).
3.72/3.91	tff('339', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xy, sk_Xx5)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['338', '102'])).
3.72/3.91	tff('340', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['329', '226'])).
3.72/3.91	tff('341', plain, ![X0]: (app_encode_app($i, $o, cQ, X0) | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['340'])).
3.72/3.91	tff('342', plain, (~ zip_tseitin0(sk_Xy, sk_Xx5) | ~ zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['339', '341'])).
3.72/3.91	tff('343', plain,
3.72/3.91	    (~ $true | zip_tseitin0(sk_Xx5, sk_Xx2) | ~ zip_tseitin4 | ~ zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['278', '342'])).
3.72/3.91	tff('344', plain, (~ zip_tseitin4 | zip_tseitin0(sk_Xx5, sk_Xx2)),
3.72/3.91	    inference('simplify', [status(thm)], ['343'])).
3.72/3.91	tff('345', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx5)
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx2)),
3.72/3.91	    inference('sup-', [status(thm)], ['344', '267'])).
3.72/3.91	tff('346', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xx2)
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx5)
3.72/3.91	     | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['345'])).
3.72/3.91	tff('347', plain, (~ zip_tseitin4 | app_encode_app($i, $o, cP, sk_Xx2)),
3.72/3.91	    inference('clc', [status(thm)], ['346', '342'])).
3.72/3.91	tff('348', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['347', '9'])).
3.72/3.91	tff('349', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['348'])).
3.72/3.91	tff('350', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx5, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['349', '275'])).
3.72/3.91	tff('351', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xx5, X0) | ~ zip_tseitin0(sk_Xx2, X0) | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['350'])).
3.72/3.91	tff('352', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['331', '9'])).
3.72/3.91	tff('353', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['352'])).
3.72/3.91	tff('354', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy5)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['353', '102'])).
3.72/3.91	tff('355', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['329', '354'])).
3.72/3.91	tff('356', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin0(sk_Xx5, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['355'])).
3.72/3.91	tff('357', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['356', '157'])).
3.72/3.91	tff('358', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, sk_Xy)
3.72/3.91	       | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['357'])).
3.72/3.91	tff('359', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx5, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['358', '102'])).
3.72/3.91	tff('360', plain, (~ zip_tseitin0(sk_Xx5, sk_Xy) | ~ zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['359', '341'])).
3.72/3.91	tff('361', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | ~ zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | ~ zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['351', '360'])).
3.72/3.91	tff('362', plain, (~ zip_tseitin0(sk_Xx2, sk_Xy) | ~ zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['361'])).
3.72/3.91	tff('363', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['18', '82'])).
3.72/3.91	tff('364', plain,
3.72/3.91	    (~ zip_tseitin5 | app_encode_app($i, $o, cP, sk_Xx4) | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['363'])).
3.72/3.91	tff('365', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['364', '141'])).
3.72/3.91	tff('366', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['365'])).
3.72/3.91	tff('367', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['169', '70'])).
3.72/3.91	tff('368', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['367'])).
3.72/3.91	tff('369', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['152', '368'])).
3.72/3.91	tff('370', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['369'])).
3.72/3.91	tff('371', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['370', '111'])).
3.72/3.91	tff('372', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['371', '157'])).
3.72/3.91	tff('373', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['372'])).
3.72/3.91	tff('374', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['373', '111'])).
3.72/3.91	tff('375', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['366', '374'])).
3.72/3.91	tff('376', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['375'])).
3.72/3.91	tff('377', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['376', '92'])).
3.72/3.91	tff('378', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['253', '23'])).
3.72/3.91	tff('379', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['378'])).
3.72/3.91	tff('380', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['379', '46'])).
3.72/3.91	tff('381', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['380'])).
3.72/3.91	tff('382', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['188', '381'])).
3.72/3.91	tff('383', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['382'])).
3.72/3.91	tff('384', plain,
3.72/3.91	    (~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['383', '381'])).
3.72/3.91	tff('385', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2),
3.72/3.91	    inference('sup-', [status(thm)], ['377', '384'])).
3.72/3.91	tff('386', plain,
3.72/3.91	    (~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['385'])).
3.72/3.91	tff('387', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['156', '374'])).
3.72/3.91	tff('388', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['387'])).
3.72/3.91	tff('389', plain,
3.72/3.91	    (zip_tseitin0(sk_Xx2, sk_Xy) | zip_tseitin2 | zip_tseitin1),
3.72/3.91	    inference('condensation', [status(thm)], ['388'])).
3.72/3.91	tff('390', plain, (zip_tseitin2 | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['389', '111'])).
3.72/3.91	tff('391', plain,
3.72/3.91	    (zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('clc', [status(thm)], ['386', '390'])).
3.72/3.91	tff('392', plain,
3.72/3.91	    (zip_tseitin4 | ~ zip_tseitin5 | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['391', '93'])).
3.72/3.91	tff('393', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['392', '267'])).
3.72/3.91	tff('394', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xy)
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['393'])).
3.72/3.91	tff('395', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xy3(sk_Xy), X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['259', '61'])).
3.72/3.91	tff('396', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['395'])).
3.72/3.91	tff('397', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ app_encode_app($i, $o, cP, sk_Xy)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['396', '174'])).
3.72/3.91	tff('398', plain,
3.72/3.91	    (zip_tseitin1 | ~ app_encode_app($i, $o, cP, sk_Xy) | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['397'])).
3.72/3.91	tff('399', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['394', '398'])).
3.72/3.91	tff('400', plain,
3.72/3.91	    (zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['399'])).
3.72/3.91	tff('401', plain,
3.72/3.91	    (~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | ~ zip_tseitin2),
3.72/3.91	    inference('clc', [status(thm)], ['400', '93'])).
3.72/3.91	tff('402', plain,
3.72/3.91	    (~ zip_tseitin2 | zip_tseitin0(sk_Xy, sk_Xx2) | ~ zip_tseitin5),
3.72/3.91	    inference('clc', [status(thm)], ['401', '232'])).
3.72/3.91	tff('403', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['390', '249'])).
3.72/3.91	tff('404', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xy)
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['403'])).
3.72/3.91	tff('405', plain,
3.72/3.91	    (zip_tseitin2 | zip_tseitin1 | zip_tseitin0(sk_Xy, sk_Xx2)),
3.72/3.91	    inference('clc', [status(thm)], ['404', '152'])).
3.72/3.91	tff('406', plain, (zip_tseitin0(sk_Xy, sk_Xx2) | zip_tseitin2),
3.72/3.91	    inference('clc', [status(thm)], ['405', '111'])).
3.72/3.91	tff('407', plain, (~ zip_tseitin5 | zip_tseitin0(sk_Xy, sk_Xx2)),
3.72/3.91	    inference('clc', [status(thm)], ['402', '406'])).
3.72/3.91	tff('408', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['204', '166'])).
3.72/3.91	tff('409', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['408'])).
3.72/3.91	tff('410', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin4
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['409', '56'])).
3.72/3.91	tff('411', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['410', '70'])).
3.72/3.91	tff('412', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | ~ zip_tseitin4
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['411'])).
3.72/3.91	tff('413', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['407', '412'])).
3.72/3.91	tff('414', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xy)
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['413'])).
3.72/3.91	tff('415', plain,
3.72/3.91	    (~ zip_tseitin5
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['414', '392'])).
3.72/3.91	tff('416', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xx5, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['415', '275'])).
3.72/3.91	tff('417', plain,
3.72/3.91	    (zip_tseitin0(sk_Xx5, sk_Xy)
3.72/3.91	     | ~ zip_tseitin4
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['416'])).
3.72/3.91	tff('418', plain,
3.72/3.91	    (zip_tseitin0(sk_Xx2, sk_Xy) | ~ zip_tseitin5 | ~ zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['417', '360'])).
3.72/3.91	tff('419', plain, (~ zip_tseitin4 | zip_tseitin0(sk_Xx2, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['418', '316'])).
3.72/3.91	tff('420', plain, ~ zip_tseitin4,
3.72/3.91	    inference('clc', [status(thm)], ['362', '419'])).
3.72/3.91	tff('421', plain,
3.72/3.91	    ![X0]: (zip_tseitin3(X0, sk_Xx6) | ~ zip_tseitin1 | zip_tseitin5),
3.72/3.91	    inference('clc', [status(thm)], ['151', '420'])).
3.72/3.91	tff('422', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['253', '134'])).
3.72/3.91	tff('423', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['422'])).
3.72/3.91	tff('424', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin3(X0, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['423', '15'])).
3.72/3.91	tff('425', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin3(X0, X1)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['424'])).
3.72/3.91	tff('426', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | zip_tseitin3(X0, sk_Xx)),
3.72/3.91	    inference('sup-', [status(thm)], ['253', '425'])).
3.72/3.91	tff('427', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['426'])).
3.72/3.91	tff('428', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin3(sk_Xx6, sk_Xx)),
3.72/3.91	    inference('sup-', [status(thm)], ['133', '427'])).
3.72/3.91	tff('429', plain,
3.72/3.91	    (zip_tseitin3(sk_Xx6, sk_Xx)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['428'])).
3.72/3.91	tff('430', plain,
3.72/3.91	    (zip_tseitin4 | zip_tseitin5 | zip_tseitin1 | zip_tseitin3(sk_Xx6, sk_Xx)),
3.72/3.91	    inference('clc', [status(thm)], ['429', '109'])).
3.72/3.91	tff('431', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin3(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['423', '23'])).
3.72/3.91	tff('432', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | ~ zip_tseitin3(X1, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['431'])).
3.72/3.91	tff('433', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ zip_tseitin3(sk_Xx, sk_Xx)
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('sup-', [status(thm)], ['430', '432'])).
3.72/3.91	tff('434', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ $true
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('demod', [status(thm)], ['433', '201'])).
3.72/3.91	tff('435', plain,
3.72/3.91	    (app_encode_app($i, $o, cQ, sk_Xx6)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['434'])).
3.72/3.91	tff('436', plain,
3.72/3.91	    (zip_tseitin1
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['435', '109'])).
3.72/3.91	tff('437', plain,
3.72/3.91	    (app_encode_app($i, $o, cQ, sk_Xx6) | zip_tseitin5 | zip_tseitin1),
3.72/3.91	    inference('clc', [status(thm)], ['436', '420'])).
3.72/3.91	tff('438', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx6)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['437', '23'])).
3.72/3.91	tff('439', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx6)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['438'])).
3.72/3.91	tff('440', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(sk_Xx6, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['437', '15'])).
3.72/3.91	tff('441', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['440'])).
3.72/3.91	tff('442', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx6)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx6, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['439', '441'])).
3.72/3.91	tff('443', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx6)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['442'])).
3.72/3.91	tff('444', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx6, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['133', '443'])).
3.72/3.91	tff('445', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx6, X0) | zip_tseitin1 | zip_tseitin5 | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['444'])).
3.72/3.91	tff('446', plain,
3.72/3.91	    ![X0]: (zip_tseitin5 | zip_tseitin1 | zip_tseitin3(sk_Xx6, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['445', '420'])).
3.72/3.91	tff('447', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xx6, sk_Xx)),
3.72/3.91	    inference('sup-', [status(thm)], ['253', '441'])).
3.72/3.91	tff('448', plain,
3.72/3.91	    (zip_tseitin3(sk_Xx6, sk_Xx)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['447'])).
3.72/3.91	tff('449', plain,
3.72/3.91	    (zip_tseitin1 | ~ zip_tseitin2 | zip_tseitin3(sk_Xx6, sk_Xx)),
3.72/3.91	    inference('clc', [status(thm)], ['448', '92'])).
3.72/3.91	tff('450', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ zip_tseitin3(sk_Xx, sk_Xx)
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('sup-', [status(thm)], ['449', '432'])).
3.72/3.91	tff('451', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ $true
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('demod', [status(thm)], ['450', '201'])).
3.72/3.91	tff('452', plain,
3.72/3.91	    (app_encode_app($i, $o, cQ, sk_Xx6) | zip_tseitin1 | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['451'])).
3.72/3.91	tff('453', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['452', '134'])).
3.72/3.91	tff('454', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['453'])).
3.72/3.91	tff('455', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['454', '310'])).
3.72/3.91	tff('456', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['455'])).
3.72/3.91	tff('457', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['446', '456'])).
3.72/3.91	tff('458', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx, X0) | ~ zip_tseitin2 | zip_tseitin5 | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['457'])).
3.72/3.91	tff('459', plain,
3.72/3.91	    ![X0]: (zip_tseitin1 | zip_tseitin5 | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['458', '109'])).
3.72/3.91	tff('460', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['14', '9'])).
3.72/3.91	tff('461', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['460'])).
3.72/3.91	tff('462', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['423', '46'])).
3.72/3.91	tff('463', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['462'])).
3.72/3.91	tff('464', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['461', '463'])).
3.72/3.91	tff('465', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['464'])).
3.72/3.91	tff('466', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['188', '463'])).
3.72/3.91	tff('467', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['466'])).
3.72/3.91	tff('468', plain,
3.72/3.91	    (~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['467', '463'])).
3.72/3.91	tff('469', plain,
3.72/3.91	    ![X1]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xx, sk_Xy4)),
3.72/3.91	    inference('clc', [status(thm)], ['465', '468'])).
3.72/3.91	tff('470', plain,
3.72/3.91	    (~ zip_tseitin3(sk_Xx, sk_Xy4)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['469', '468'])).
3.72/3.91	tff('471', plain,
3.72/3.91	    (zip_tseitin1 | ~ zip_tseitin2 | ~ zip_tseitin3(sk_Xx, sk_Xy4)),
3.72/3.91	    inference('clc', [status(thm)], ['470', '232'])).
3.72/3.91	tff('472', plain,
3.72/3.91	    (~ $true | zip_tseitin5 | zip_tseitin1 | ~ zip_tseitin2 | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['459', '471'])).
3.72/3.91	tff('473', plain, (~ zip_tseitin2 | zip_tseitin1 | zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['472'])).
3.72/3.91	tff('474', plain, (zip_tseitin5 | zip_tseitin1),
3.72/3.91	    inference('clc', [status(thm)], ['473', '109'])).
3.72/3.91	tff('475', plain, ![X0]: (zip_tseitin5 | zip_tseitin3(X0, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['421', '474'])).
3.72/3.91	tff('476', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin3(X1, sk_Xy4)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['19', '46'])).
3.72/3.91	tff('477', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin3(X1, sk_Xy4)
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['476'])).
3.72/3.91	tff('478', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin3(X1, sk_Xy4)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['477', '51'])).
3.72/3.91	tff('479', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['38', '478'])).
3.72/3.91	tff('480', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['479'])).
3.72/3.91	tff('481', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin1
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['480', '102'])).
3.72/3.91	tff('482', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['481', '23'])).
3.72/3.91	tff('483', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | ~ zip_tseitin3(X1, X0)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)),
3.72/3.91	    inference('simplify', [status(thm)], ['482'])).
3.72/3.91	tff('484', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx6, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['475', '483'])).
3.72/3.91	tff('485', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | zip_tseitin3(sk_Xx6, sk_Xy4)
3.72/3.91	       | zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['484'])).
3.72/3.91	tff('486', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx6, sk_Xy4)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['485', '474'])).
3.72/3.91	tff('487', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(sk_Xx6, sk_Xy4)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['486', '46'])).
3.72/3.91	tff('488', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx6, sk_Xy4)),
3.72/3.91	    inference('simplify', [status(thm)], ['487'])).
3.72/3.91	tff('489', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin3(sk_Xx6, sk_Xy4)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['488', '420'])).
3.72/3.91	tff('490', plain,
3.72/3.91	    (~ $true | ~ zip_tseitin1 | zip_tseitin5 | zip_tseitin3(sk_Xx6, sk_Xy4)),
3.72/3.91	    inference('sup-', [status(thm)], ['132', '489'])).
3.72/3.91	tff('491', plain,
3.72/3.91	    (zip_tseitin3(sk_Xx6, sk_Xy4) | zip_tseitin5 | ~ zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['490'])).
3.72/3.91	tff('492', plain, (~ zip_tseitin1 | zip_tseitin3(sk_Xx6, sk_Xy4)),
3.72/3.91	    inference('clc', [status(thm)], ['491', '93'])).
3.72/3.91	tff('493', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['156', '23'])).
3.72/3.91	tff('494', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X2, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['493'])).
3.72/3.91	tff('495', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['156', '15'])).
3.72/3.91	tff('496', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X2, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['495'])).
3.72/3.91	tff('497', plain,
3.72/3.91	    ![X0, X1, X2, X3, X4]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X4, X3)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['494', '496'])).
3.72/3.91	tff('498', plain,
3.72/3.91	    ![X0, X1, X2, X3, X4]:
3.72/3.91	      (zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X4, X3)),
3.72/3.91	    inference('simplify', [status(thm)], ['497'])).
3.72/3.91	tff('499', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin3(sk_Xx, X0)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('condensation', [status(thm)], ['498'])).
3.72/3.91	tff('500', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ zip_tseitin3(X0, sk_Xx)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin3(sk_Xx, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['499', '245'])).
3.72/3.91	tff('501', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin3(sk_Xx, sk_Xx6)
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['430', '500'])).
3.72/3.91	tff('502', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin3(sk_Xx, sk_Xx6)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['501'])).
3.72/3.91	tff('503', plain,
3.72/3.91	    (zip_tseitin1 | zip_tseitin5 | zip_tseitin4 | zip_tseitin3(sk_Xx, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['502', '474'])).
3.72/3.91	tff('504', plain,
3.72/3.91	    (zip_tseitin3(sk_Xx, sk_Xx6) | zip_tseitin4 | zip_tseitin5),
3.72/3.91	    inference('clc', [status(thm)], ['503', '133'])).
3.72/3.91	tff('505', plain, (zip_tseitin5 | zip_tseitin3(sk_Xx, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['504', '420'])).
3.72/3.91	tff('506', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(X0, X1)
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['144', '134'])).
3.72/3.91	tff('507', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | ~ zip_tseitin3(X0, X1)
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['506'])).
3.72/3.91	tff('508', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | ~ zip_tseitin1
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('sup-', [status(thm)], ['505', '507'])).
3.72/3.91	tff('509', plain,
3.72/3.91	    (app_encode_app($i, $o, cQ, sk_Xx6)
3.72/3.91	     | ~ zip_tseitin1
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['508'])).
3.72/3.91	tff('510', plain,
3.72/3.91	    (zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['509', '474'])).
3.72/3.91	tff('511', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	     | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['510', '30'])).
3.72/3.91	tff('512', plain,
3.72/3.91	    (~ zip_tseitin1
3.72/3.91	     | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx)),
3.72/3.91	    inference('simplify', [status(thm)], ['511'])).
3.72/3.91	tff('513', plain,
3.72/3.91	    (zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xx1, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['512', '474'])).
3.72/3.91	tff('514', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['1', '381'])).
3.72/3.91	tff('515', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['514'])).
3.72/3.91	tff('516', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)),
3.72/3.91	    inference('clc', [status(thm)], ['515', '232'])).
3.72/3.91	tff('517', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['461', '381'])).
3.72/3.91	tff('518', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cQ, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['517'])).
3.72/3.91	tff('519', plain,
3.72/3.91	    ![X1]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx)),
3.72/3.91	    inference('clc', [status(thm)], ['518', '384'])).
3.72/3.91	tff('520', plain,
3.72/3.91	    (~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['519', '384'])).
3.72/3.91	tff('521', plain,
3.72/3.91	    (zip_tseitin1 | ~ zip_tseitin2 | ~ zip_tseitin3(sk_Xy4, sk_Xx)),
3.72/3.91	    inference('clc', [status(thm)], ['520', '232'])).
3.72/3.91	tff('522', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ zip_tseitin3(sk_Xy4, sk_Xx)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['516', '521'])).
3.72/3.91	tff('523', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X1, X0) | ~ zip_tseitin2 | ~ zip_tseitin3(sk_Xy4, sk_Xx)),
3.72/3.91	    inference('clc', [status(thm)], ['522', '245'])).
3.72/3.91	tff('524', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['513', '523'])).
3.72/3.91	tff('525', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X1, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)),
3.72/3.91	    inference('simplify', [status(thm)], ['524'])).
3.72/3.91	tff('526', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin3(sk_Xx1, sk_Xx6) | zip_tseitin5 | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['525', '109'])).
3.72/3.91	tff('527', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xy3(sk_Xy))
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['259', '70'])).
3.72/3.91	tff('528', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xy3(sk_Xy))
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['527'])).
3.72/3.91	tff('529', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['526', '528'])).
3.72/3.91	tff('530', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	       | zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['529'])).
3.72/3.91	tff('531', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['530', '109'])).
3.72/3.91	tff('532', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	     | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['531', '48'])).
3.72/3.91	tff('533', plain,
3.72/3.91	    (zip_tseitin4
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | zip_tseitin3(sk_Xx1, sk_Xx6)),
3.72/3.91	    inference('simplify', [status(thm)], ['532'])).
3.72/3.91	tff('534', plain,
3.72/3.91	    (zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	     | zip_tseitin5
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.91	    inference('clc', [status(thm)], ['533', '420'])).
3.72/3.91	tff('535', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['179', '61'])).
3.72/3.91	tff('536', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['535'])).
3.72/3.91	tff('537', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('condensation', [status(thm)], ['536'])).
3.72/3.91	tff('538', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(X0, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['1', '537'])).
3.72/3.91	tff('539', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X0, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['538'])).
3.72/3.91	tff('540', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['539', '537'])).
3.72/3.91	tff('541', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['540'])).
3.72/3.91	tff('542', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X2)
3.72/3.91	       | zip_tseitin0(X0, X2)
3.72/3.91	       | ~ zip_tseitin0(X0, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['1', '9'])).
3.72/3.91	tff('543', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(X0, X1)
3.72/3.91	       | zip_tseitin0(X0, X2)
3.72/3.91	       | app_encode_app($i, $o, cP, X2)),
3.72/3.91	    inference('simplify', [status(thm)], ['542'])).
3.72/3.91	tff('544', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X2, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X2)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['541', '543'])).
3.72/3.91	tff('545', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X2)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['544'])).
3.72/3.91	tff('546', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['179', '9'])).
3.72/3.91	tff('547', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['546'])).
3.72/3.91	tff('548', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin0(X2, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X2)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['545', '547'])).
3.72/3.91	tff('549', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X2)
3.72/3.91	       | zip_tseitin0(X2, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['548', '420'])).
3.72/3.91	tff('550', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)),
3.72/3.91	    inference('condensation', [status(thm)], ['549'])).
3.72/3.91	tff('551', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['179', '70'])).
3.72/3.91	tff('552', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['551'])).
3.72/3.91	tff('553', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['552', '537'])).
3.72/3.91	tff('554', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['553'])).
3.72/3.91	tff('555', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0) | ~ zip_tseitin0(X0, sk_Xx4) | zip_tseitin4),
3.72/3.91	    inference('condensation', [status(thm)], ['554'])).
3.72/3.91	tff('556', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['550', '555'])).
3.72/3.91	tff('557', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['556'])).
3.72/3.91	tff('558', plain,
3.72/3.91	    ![X0]: (zip_tseitin0(sk_Xx4, X0) | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.91	    inference('clc', [status(thm)], ['557', '420'])).
3.72/3.91	tff('559', plain,
3.72/3.91	    ![X0, X1, X2, X3]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X3, X2)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(X0, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['547', '61'])).
3.72/3.91	tff('560', plain,
3.72/3.91	    ![X0, X1, X2, X3]:
3.72/3.91	      (zip_tseitin0(X0, X1)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin0(X3, X2)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['559'])).
3.72/3.91	tff('561', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('condensation', [status(thm)], ['560'])).
3.72/3.91	tff('562', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['364', '561'])).
3.72/3.91	tff('563', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['562'])).
3.72/3.91	tff('564', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin0(X0, sk_Xx4)),
3.72/3.91	    inference('sup-', [status(thm)], ['558', '563'])).
3.72/3.91	tff('565', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.91	    inference('simplify', [status(thm)], ['564'])).
3.72/3.91	tff('566', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xx4) | zip_tseitin4 | ~ zip_tseitin5),
3.72/3.91	    inference('clc', [status(thm)], ['565', '364'])).
3.72/3.91	tff('567', plain, (~ zip_tseitin5 | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.91	    inference('clc', [status(thm)], ['566', '420'])).
3.72/3.91	tff('568', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xx4) | zip_tseitin3(sk_Xx1, sk_Xx6)),
3.72/3.91	    inference('clc', [status(thm)], ['534', '567'])).
3.72/3.91	tff('569', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['568', '141'])).
3.72/3.91	tff('570', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)),
3.72/3.91	    inference('simplify', [status(thm)], ['569'])).
3.72/3.91	tff('571', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(sk_Xy, X0)
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['265', '561'])).
3.72/3.91	tff('572', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin0(sk_Xy, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['571'])).
3.72/3.91	tff('573', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xy, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['152', '572'])).
3.72/3.91	tff('574', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | zip_tseitin0(sk_Xy, X0)
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['573'])).
3.72/3.91	tff('575', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xy, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['574', '420'])).
3.72/3.91	tff('576', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(sk_Xx2, X0) | zip_tseitin0(sk_Xy, X0) | zip_tseitin2),
3.72/3.91	    inference('clc', [status(thm)], ['575', '111'])).
3.72/3.91	tff('577', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xx4)),
3.72/3.91	    inference('sup-', [status(thm)], ['234', '171'])).
3.72/3.91	tff('578', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin0(X0, sk_Xx4)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['577'])).
3.72/3.91	tff('579', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin2 | zip_tseitin0(X0, sk_Xy) | zip_tseitin0(X0, sk_Xx4)),
3.72/3.91	    inference('clc', [status(thm)], ['578', '245'])).
3.72/3.91	tff('580', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['579', '174'])).
3.72/3.91	tff('581', plain,
3.72/3.91	    (zip_tseitin1 | ~ zip_tseitin2 | zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4)),
3.72/3.91	    inference('simplify', [status(thm)], ['580'])).
3.72/3.91	tff('582', plain, (zip_tseitin0(sk_Xy3(sk_Xy), sk_Xx4) | ~ zip_tseitin2),
3.72/3.91	    inference('clc', [status(thm)], ['581', '245'])).
3.72/3.91	tff('583', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xy3(sk_Xy))
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xx4)),
3.72/3.91	    inference('sup-', [status(thm)], ['582', '249'])).
3.72/3.91	tff('584', plain,
3.72/3.91	    (app_encode_app($i, $o, cP, sk_Xx4)
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xy3(sk_Xy))
3.72/3.91	     | zip_tseitin1
3.72/3.91	     | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['583'])).
3.72/3.91	tff('585', plain, (~ $true | zip_tseitin1 | ~ zip_tseitin2),
3.72/3.91	    inference('sup-', [status(thm)], ['474', '92'])).
3.72/3.91	tff('586', plain, (~ zip_tseitin2 | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['585'])).
3.72/3.91	tff('587', plain,
3.72/3.91	    (~ zip_tseitin2 | zip_tseitin1 | zip_tseitin0(sk_Xy, sk_Xy3(sk_Xy))),
3.72/3.91	    inference('clc', [status(thm)], ['584', '586'])).
3.72/3.91	tff('588', plain, (zip_tseitin0(sk_Xy, sk_Xy3(sk_Xy)) | ~ zip_tseitin2),
3.72/3.91	    inference('clc', [status(thm)], ['587', '245'])).
3.72/3.91	tff('589', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['588', '528'])).
3.72/3.91	tff('590', plain, (app_encode_app($i, $o, cP, sk_Xy) | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['589'])).
3.72/3.91	tff('591', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['558', '61'])).
3.72/3.91	tff('592', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx4, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['591'])).
3.72/3.91	tff('593', plain,
3.72/3.91	    ![X0]: (zip_tseitin0(sk_Xx4, X0) | ~ app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('condensation', [status(thm)], ['592'])).
3.72/3.91	tff('594', plain, (~ $true | ~ zip_tseitin2 | zip_tseitin0(sk_Xx4, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['590', '593'])).
3.72/3.91	tff('595', plain, (zip_tseitin0(sk_Xx4, sk_Xy) | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['594'])).
3.72/3.91	tff('596', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['234', '9'])).
3.72/3.91	tff('597', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['596'])).
3.72/3.91	tff('598', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['597', '157'])).
3.72/3.91	tff('599', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['598'])).
3.72/3.91	tff('600', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['156', '599'])).
3.72/3.91	tff('601', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['600'])).
3.72/3.91	tff('602', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X1, X0) | ~ zip_tseitin2 | ~ zip_tseitin0(sk_Xx4, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['601', '245'])).
3.72/3.91	tff('603', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true | ~ zip_tseitin2 | ~ zip_tseitin2 | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['595', '602'])).
3.72/3.91	tff('604', plain, ![X0, X1]: (zip_tseitin0(X1, X0) | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['603'])).
3.72/3.91	tff('605', plain,
3.72/3.91	    ![X0]: (zip_tseitin0(sk_Xy, X0) | zip_tseitin0(sk_Xx2, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['576', '604'])).
3.72/3.91	tff('606', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X1, sk_Xy)
3.72/3.91	       | zip_tseitin0(X1, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['169', '171'])).
3.72/3.91	tff('607', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin0(X1, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['606'])).
3.72/3.91	tff('608', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['607', '174'])).
3.72/3.91	tff('609', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin2
3.72/3.91	       | zip_tseitin0(sk_Xy3(sk_Xy), X0)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['608'])).
3.72/3.91	tff('610', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin1
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['609', '261'])).
3.72/3.91	tff('611', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['610'])).
3.72/3.91	tff('612', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['611', '169'])).
3.72/3.91	tff('613', plain,
3.72/3.91	    ![X0]: (app_encode_app($i, $o, cP, X0) | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('clc', [status(thm)], ['612', '245'])).
3.72/3.91	tff('614', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['613', '70'])).
3.72/3.91	tff('615', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['614'])).
3.72/3.91	tff('616', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['605', '615'])).
3.72/3.91	tff('617', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['616'])).
3.72/3.91	tff('618', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(X0, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['613', '61'])).
3.72/3.91	tff('619', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X0, X1)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['618'])).
3.72/3.91	tff('620', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(sk_Xx2, X1)
3.72/3.91	       | zip_tseitin0(X1, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['617', '619'])).
3.72/3.91	tff('621', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(X1, sk_Xy)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['620'])).
3.72/3.91	tff('622', plain,
3.72/3.91	    ![X0]: (zip_tseitin0(sk_Xx2, X0) | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('condensation', [status(thm)], ['621'])).
3.72/3.91	tff('623', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xx2)),
3.72/3.91	    inference('sup-', [status(thm)], ['622', '615'])).
3.72/3.91	tff('624', plain,
3.72/3.91	    ![X0]: (app_encode_app($i, $o, cP, sk_Xx2) | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['623'])).
3.72/3.91	tff('625', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin0(X1, sk_Xy)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['624', '9'])).
3.72/3.91	tff('626', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | zip_tseitin0(X1, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['625'])).
3.72/3.91	tff('627', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | ~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin0(sk_Xx4, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['394', '238'])).
3.72/3.91	tff('628', plain,
3.72/3.91	    (zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	     | ~ zip_tseitin2
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['627'])).
3.72/3.91	tff('629', plain,
3.72/3.91	    (~ zip_tseitin5
3.72/3.91	     | zip_tseitin4
3.72/3.91	     | zip_tseitin0(sk_Xy, sk_Xx2)
3.72/3.91	     | ~ zip_tseitin2),
3.72/3.91	    inference('clc', [status(thm)], ['628', '92'])).
3.72/3.91	tff('630', plain,
3.72/3.91	    (~ zip_tseitin2 | zip_tseitin0(sk_Xy, sk_Xx2) | zip_tseitin4),
3.72/3.91	    inference('clc', [status(thm)], ['629', '604'])).
3.72/3.91	tff('631', plain, (zip_tseitin4 | zip_tseitin0(sk_Xy, sk_Xx2)),
3.72/3.91	    inference('clc', [status(thm)], ['630', '406'])).
3.72/3.91	tff('632', plain, zip_tseitin0(sk_Xy, sk_Xx2),
3.72/3.91	    inference('clc', [status(thm)], ['631', '420'])).
3.72/3.91	tff('633', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X2)
3.72/3.91	       | zip_tseitin0(X0, X2)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['1', '70'])).
3.72/3.91	tff('634', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(X1, X0)
3.72/3.91	       | zip_tseitin0(X0, X2)
3.72/3.91	       | app_encode_app($i, $o, cP, X2)),
3.72/3.91	    inference('simplify', [status(thm)], ['633'])).
3.72/3.91	tff('635', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['632', '634'])).
3.72/3.91	tff('636', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, sk_Xy)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['635'])).
3.72/3.91	tff('637', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X1)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(X0, sk_Xy)),
3.72/3.91	    inference('sup-', [status(thm)], ['636', '619'])).
3.72/3.91	tff('638', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (zip_tseitin0(X0, sk_Xy)
3.72/3.91	       | zip_tseitin0(sk_Xx2, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['637'])).
3.72/3.91	tff('639', plain,
3.72/3.91	    ![X0, X1]: (zip_tseitin0(X1, sk_Xy) | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['626', '638'])).
3.72/3.91	tff('640', plain,
3.72/3.91	    ![X0, X1]: (~ $true | zip_tseitin0(X1, sk_Xy) | zip_tseitin0(sk_Xx4, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['639', '593'])).
3.72/3.91	tff('641', plain,
3.72/3.91	    ![X0, X1]: (zip_tseitin0(sk_Xx4, X0) | zip_tseitin0(X1, sk_Xy)),
3.72/3.91	    inference('simplify', [status(thm)], ['640'])).
3.72/3.91	tff('642', plain, (~ $true | zip_tseitin0(sk_Xx4, sk_Xy)),
3.72/3.91	    inference('eq_fact', [status(thm)], ['641'])).
3.72/3.91	tff('643', plain, zip_tseitin0(sk_Xx4, sk_Xy),
3.72/3.91	    inference('simplify', [status(thm)], ['642'])).
3.72/3.91	tff('644', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['567', '9'])).
3.72/3.91	tff('645', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['644'])).
3.72/3.91	tff('646', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['645', '157'])).
3.72/3.91	tff('647', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['646'])).
3.72/3.91	tff('648', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin5
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['647', '93'])).
3.72/3.91	tff('649', plain,
3.72/3.91	    ![X0]: (~ $true | ~ app_encode_app($i, $o, cQ, X0) | ~ zip_tseitin5),
3.72/3.91	    inference('sup-', [status(thm)], ['643', '648'])).
3.72/3.91	tff('650', plain, ![X0]: (~ zip_tseitin5 | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['649'])).
3.72/3.91	tff('651', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | ~ zip_tseitin5),
3.72/3.91	    inference('sup-', [status(thm)], ['570', '650'])).
3.72/3.91	tff('652', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin5
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | zip_tseitin3(sk_Xx1, sk_Xx6)),
3.72/3.91	    inference('simplify', [status(thm)], ['651'])).
3.72/3.91	tff('653', plain,
3.72/3.91	    ![X0]: (zip_tseitin3(sk_Xx1, sk_Xx6) | zip_tseitin3(sk_Xy4, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['652', '475'])).
3.72/3.91	tff('654', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx1)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['132', '25'])).
3.72/3.91	tff('655', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(X0, sk_Xx1)
3.72/3.91	       | ~ zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['654'])).
3.72/3.91	tff('656', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx1)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['655', '46'])).
3.72/3.91	tff('657', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx1)
3.72/3.91	       | ~ zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['656'])).
3.72/3.91	tff('658', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(sk_Xy4, sk_Xx1)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['657', '102'])).
3.72/3.91	tff('659', plain, (~ zip_tseitin3(sk_Xy4, sk_Xx1) | ~ zip_tseitin1),
3.72/3.91	    inference('clc', [status(thm)], ['658', '132'])).
3.72/3.91	tff('660', plain, (~ $true | zip_tseitin3(sk_Xx1, sk_Xx6) | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['653', '659'])).
3.72/3.91	tff('661', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin5
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['567', '478'])).
3.72/3.91	tff('662', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(X0, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['661'])).
3.72/3.91	tff('663', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true | ~ zip_tseitin5 | zip_tseitin3(X0, sk_Xy4) | ~ zip_tseitin5),
3.72/3.91	    inference('sup-', [status(thm)], ['662', '650'])).
3.72/3.91	tff('664', plain, ![X0]: (zip_tseitin3(X0, sk_Xy4) | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['663'])).
3.72/3.91	tff('665', plain, (~ $true | ~ zip_tseitin5 | ~ zip_tseitin5 | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['664', '82'])).
3.72/3.91	tff('666', plain, (zip_tseitin4 | ~ zip_tseitin5),
3.72/3.91	    inference('simplify', [status(thm)], ['665'])).
3.72/3.91	tff('667', plain, ~ zip_tseitin5,
3.72/3.91	    inference('clc', [status(thm)], ['666', '420'])).
3.72/3.91	tff('668', plain, (~ $true | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['474', '667'])).
3.72/3.91	tff('669', plain, zip_tseitin1, inference('simplify', [status(thm)], ['668'])).
3.72/3.91	tff('670', plain, (~ $true | zip_tseitin3(sk_Xx1, sk_Xx6) | ~ $true),
3.72/3.91	    inference('demod', [status(thm)], ['660', '669'])).
3.72/3.91	tff('671', plain, zip_tseitin3(sk_Xx1, sk_Xx6),
3.72/3.91	    inference('simplify', [status(thm)], ['670'])).
3.72/3.91	tff('672', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx1)
3.72/3.91	     | ~ zip_tseitin1
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('sup-', [status(thm)], ['671', '507'])).
3.72/3.91	tff('673', plain,
3.72/3.91	    (~ $true
3.72/3.91	     | zip_tseitin3(sk_Xy4, sk_Xx1)
3.72/3.91	     | ~ $true
3.72/3.91	     | app_encode_app($i, $o, cQ, sk_Xx6)),
3.72/3.91	    inference('demod', [status(thm)], ['672', '669'])).
3.72/3.91	tff('674', plain,
3.72/3.91	    (app_encode_app($i, $o, cQ, sk_Xx6) | zip_tseitin3(sk_Xy4, sk_Xx1)),
3.72/3.91	    inference('simplify', [status(thm)], ['673'])).
3.72/3.91	tff('675', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin3(sk_Xy4, sk_Xx1)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['674', '134'])).
3.72/3.91	tff('676', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | zip_tseitin3(sk_Xy4, sk_Xx1)),
3.72/3.91	    inference('simplify', [status(thm)], ['675'])).
3.72/3.91	tff('677', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['676', '659'])).
3.72/3.91	tff('678', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ $true),
3.72/3.91	    inference('demod', [status(thm)], ['677', '669'])).
3.72/3.91	tff('679', plain,
3.72/3.91	    ![X0]: (app_encode_app($i, $o, cQ, X0) | ~ zip_tseitin3(sk_Xx6, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['678'])).
3.72/3.91	tff('680', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin3(sk_Xx6, sk_Xy4)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['679', '46'])).
3.72/3.91	tff('681', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['234', '141'])).
3.72/3.91	tff('682', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | ~ zip_tseitin2),
3.72/3.91	    inference('simplify', [status(thm)], ['681'])).
3.72/3.91	tff('683', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['547', '157'])).
3.72/3.91	tff('684', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin1
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('simplify', [status(thm)], ['683'])).
3.72/3.91	tff('685', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, sk_Xy)
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['684', '245'])).
3.72/3.91	tff('686', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ app_encode_app($i, $o, cQ, X0)
3.72/3.91	       | zip_tseitin0(X2, X1)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['643', '685'])).
3.72/3.91	tff('687', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (zip_tseitin4 | zip_tseitin0(X2, X1) | ~ app_encode_app($i, $o, cQ, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['686'])).
3.72/3.91	tff('688', plain,
3.72/3.91	    ![X0, X1, X2]: (~ app_encode_app($i, $o, cQ, X0) | zip_tseitin0(X2, X1)),
3.72/3.91	    inference('clc', [status(thm)], ['687', '420'])).
3.72/3.91	tff('689', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin2
3.72/3.91	       | zip_tseitin3(sk_Xy4, X0)
3.72/3.91	       | zip_tseitin0(X2, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['682', '688'])).
3.72/3.91	tff('690', plain, (~ $true | zip_tseitin2),
3.72/3.91	    inference('sup-', [status(thm)], ['109', '667'])).
3.72/3.91	tff('691', plain, zip_tseitin2, inference('simplify', [status(thm)], ['690'])).
3.72/3.91	tff('692', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true | ~ $true | zip_tseitin3(sk_Xy4, X0) | zip_tseitin0(X2, X1)),
3.72/3.91	    inference('demod', [status(thm)], ['689', '691'])).
3.72/3.91	tff('693', plain,
3.72/3.91	    ![X0, X1, X2]: (zip_tseitin0(X2, X1) | zip_tseitin3(sk_Xy4, X0)),
3.72/3.91	    inference('simplify', [status(thm)], ['692'])).
3.72/3.91	tff('694', plain,
3.72/3.91	    ![X0, X1]: (~ $true | zip_tseitin0(X1, X0) | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['693', '659'])).
3.72/3.91	tff('695', plain, ![X0, X1]: (~ $true | zip_tseitin0(X1, X0) | ~ $true),
3.72/3.91	    inference('demod', [status(thm)], ['694', '669'])).
3.72/3.91	tff('696', plain, ![X0, X1]: zip_tseitin0(X1, X0),
3.72/3.91	    inference('simplify', [status(thm)], ['695'])).
3.72/3.91	tff('697', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X2)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | ~ zip_tseitin0(X0, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['461', '9'])).
3.72/3.91	tff('698', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X1)
3.72/3.91	       | ~ zip_tseitin0(X0, X1)
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cQ, X2)),
3.72/3.91	    inference('simplify', [status(thm)], ['697'])).
3.72/3.91	tff('699', plain,
3.72/3.91	    ![X0, X1, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X2)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ zip_tseitin0(sk_Xx4, X1)
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['696', '698'])).
3.72/3.91	tff('700', plain,
3.72/3.91	    ![X0, X2]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cQ, X2)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | ~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('demod', [status(thm)], ['699', '696'])).
3.72/3.91	tff('701', plain,
3.72/3.91	    ![X0, X2]:
3.72/3.91	      (app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4
3.72/3.91	       | app_encode_app($i, $o, cQ, X2)),
3.72/3.91	    inference('simplify', [status(thm)], ['700'])).
3.72/3.91	tff('702', plain,
3.72/3.91	    ![X0, X2]:
3.72/3.91	      (app_encode_app($i, $o, cQ, X2) | app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['701', '420'])).
3.72/3.91	tff('703', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin3(sk_Xx1, X0)
3.72/3.91	       | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['702', '30'])).
3.72/3.91	tff('704', plain,
3.72/3.91	    ![X0, X1]:
3.72/3.91	      (~ $true
3.72/3.91	       | app_encode_app($i, $o, cP, X1)
3.72/3.91	       | zip_tseitin3(sk_Xx1, X0)
3.72/3.91	       | ~ $true),
3.72/3.91	    inference('demod', [status(thm)], ['703', '669'])).
3.72/3.91	tff('705', plain,
3.72/3.91	    ![X0, X1]: (zip_tseitin3(sk_Xx1, X0) | app_encode_app($i, $o, cP, X1)),
3.72/3.91	    inference('simplify', [status(thm)], ['704'])).
3.72/3.91	tff('706', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ $true
3.72/3.91	       | ~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(sk_Xx1, sk_Xy4)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | zip_tseitin4),
3.72/3.91	    inference('sup-', [status(thm)], ['138', '46'])).
3.72/3.91	tff('707', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (zip_tseitin4
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)
3.72/3.91	       | ~ zip_tseitin3(sk_Xx1, sk_Xy4)
3.72/3.91	       | ~ zip_tseitin1),
3.72/3.91	    inference('simplify', [status(thm)], ['706'])).
3.72/3.91	tff('708', plain,
3.72/3.91	    ![X0]:
3.72/3.91	      (~ zip_tseitin1
3.72/3.91	       | ~ zip_tseitin3(sk_Xx1, sk_Xy4)
3.72/3.91	       | ~ app_encode_app($i, $o, cP, X0)),
3.72/3.91	    inference('clc', [status(thm)], ['707', '102'])).
3.72/3.91	tff('709', plain, (~ zip_tseitin3(sk_Xx1, sk_Xy4) | ~ zip_tseitin1),
3.72/3.91	    inference('clc', [status(thm)], ['708', '132'])).
3.72/3.91	tff('710', plain,
3.72/3.91	    ![X0]: (~ $true | app_encode_app($i, $o, cP, X0) | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['705', '709'])).
3.72/3.91	tff('711', plain,
3.72/3.91	    ![X0]: (~ $true | app_encode_app($i, $o, cP, X0) | ~ $true),
3.72/3.91	    inference('demod', [status(thm)], ['710', '669'])).
3.72/3.91	tff('712', plain, ![X0]: app_encode_app($i, $o, cP, X0),
3.72/3.91	    inference('simplify', [status(thm)], ['711'])).
3.72/3.91	tff('713', plain,
3.72/3.91	    (~ $true | ~ zip_tseitin3(sk_Xx6, sk_Xy4) | ~ $true | zip_tseitin4),
3.72/3.91	    inference('demod', [status(thm)], ['680', '712'])).
3.72/3.91	tff('714', plain, (zip_tseitin4 | ~ zip_tseitin3(sk_Xx6, sk_Xy4)),
3.72/3.91	    inference('simplify', [status(thm)], ['713'])).
3.72/3.91	tff('715', plain, ~ zip_tseitin3(sk_Xx6, sk_Xy4),
3.72/3.91	    inference('clc', [status(thm)], ['714', '420'])).
3.72/3.91	tff('716', plain, (~ $true | ~ zip_tseitin1),
3.72/3.91	    inference('sup-', [status(thm)], ['492', '715'])).
3.72/3.91	tff('717', plain, (~ $true | ~ $true),
3.72/3.91	    inference('demod', [status(thm)], ['716', '669'])).
3.72/3.91	tff('718', plain, $false, inference('simplify', [status(thm)], ['717'])).
3.72/3.91	
3.72/3.91	% SZS output end Refutation
3.72/3.91	EOF
