0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n036.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:19:54 CST 2018
0.00/0.32	% done 401 iterations in 0.113s
0.00/0.32	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.32	% SZS output start Refutation
0.00/0.32	tff(cGAZING_THM35_pme, conjecture,
0.00/0.32	  (![S:(a > $o),T:(a > $o),U:(a > $o)]:
0.00/0.32	     (((![Xx:a]: (S(Xx) => U(Xx))) & (![Xx:a]: (T(Xx) => U(Xx)))) =>
0.00/0.32	      ((![Xx:a]: (S(Xx) => T(Xx))) <=>
0.00/0.32	       (![Xx:a]: ((S(Xx) & U(Xx) & (~T(Xx))) => (U(Xx) & (~S(Xx))))))))).
0.00/0.32	tff(zf_stmt_0, type, zip_tseitin3 : (a * a > $o * a > $o * a > $o) > $o).
0.00/0.32	tff(zf_stmt_1, axiom,
0.00/0.32	  (zip_tseitin3(Xx,U,T,S) <=>
0.00/0.32	   (zip_tseitin1(Xx,U,T,S) => zip_tseitin2(Xx,U,S)))).
0.00/0.32	tff(zf_stmt_2, type, zip_tseitin2 : (a * a > $o * a > $o) > $o).
0.00/0.32	tff(zf_stmt_3, axiom, (zip_tseitin2(Xx,U,S) <=> ((~S(Xx)) & U(Xx)))).
0.00/0.32	tff(zf_stmt_4, type, zip_tseitin1 : (a * a > $o * a > $o * a > $o) > $o).
0.00/0.32	tff(zf_stmt_5, axiom,
0.00/0.32	  (zip_tseitin1(Xx,U,T,S) <=> ((~T(Xx)) & U(Xx) & S(Xx)))).
0.00/0.32	tff(zf_stmt_6, type, zip_tseitin0 : (a * a > $o * a > $o) > $o).
0.00/0.32	tff(zf_stmt_7, axiom, (zip_tseitin0(Xx,T,S) <=> (S(Xx) => T(Xx)))).
0.00/0.32	tff(zf_stmt_8, conjecture,
0.00/0.32	  (![S:(a > $o),T:(a > $o),U:(a > $o)]:
0.00/0.32	     (((![Xx:a]: (T(Xx) => U(Xx))) & (![Xx:a]: (S(Xx) => U(Xx)))) =>
0.00/0.32	      ((![Xx:a]: zip_tseitin0(Xx,T,S)) <=> (![Xx:a]: zip_tseitin3(Xx,U,T,S)))))).
0.00/0.32	tff(zf_stmt_9, negated_conjecture,
0.00/0.32	  (~
0.00/0.32	    (![S:(a > $o),T:(a > $o),U:(a > $o)]:
0.00/0.32	       (((![Xx:a]: (T(Xx) => U(Xx))) & (![Xx:a]: (S(Xx) => U(Xx)))) =>
0.00/0.32	        ((![Xx:a]: zip_tseitin0(Xx,T,S)) <=>
0.00/0.32	         (![Xx:a]: zip_tseitin3(Xx,U,T,S))))))).
0.00/0.32	tff('0', plain, ![X6 : a]: (sk_U(X6) | ~ sk_S(X6)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.32	tff('1', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]: (zip_tseitin0(X1, X2, X0) | X0(X1)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.32	tff('2', plain,
0.00/0.32	    (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	     | ~ zip_tseitin0(sk_Xx1, sk_T, sk_S)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.32	tff('3', plain,
0.00/0.32	    (~ $true | sk_S(sk_Xx1) | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.32	tff('4', plain, (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S) | sk_S(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['3'])).
0.00/0.32	tff('5', plain,
0.00/0.32	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (zip_tseitin2(X3, X4, X0) | ~ X4(X3) | X0(X3)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.32	tff('6', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	       | X0(sk_Xx1)
0.00/0.32	       | zip_tseitin2(sk_Xx1, sk_S, X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.32	tff('7', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (zip_tseitin2(sk_Xx1, sk_S, X0)
0.00/0.32	       | X0(sk_Xx1)
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['6'])).
0.00/0.32	tff('8', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.32	      (zip_tseitin0(X1, X2, X0) | ~ X2(X1)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.32	tff('9', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin2(sk_Xx1, sk_S, X0)
0.00/0.32	       | zip_tseitin0(sk_Xx1, X0, X1)),
0.00/0.32	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.32	tff('10', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (zip_tseitin0(sk_Xx1, X0, X1)
0.00/0.32	       | zip_tseitin2(sk_Xx1, sk_S, X0)
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['9'])).
0.00/0.32	tff('11', plain,
0.00/0.32	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (zip_tseitin3(X3, X4, X2, X0) | zip_tseitin1(X3, X4, X2, X0)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.32	tff('12', plain,
0.00/0.32	    ![X7 : a, X8 : a]:
0.00/0.32	      (zip_tseitin3(X7, sk_U, sk_T, sk_S) | zip_tseitin0(X8, sk_T, sk_S)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.32	tff('13', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin3(X0, sk_U, sk_T, sk_S)
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['12', '2'])).
0.00/0.32	tff('14', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin3(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['13'])).
0.00/0.32	tff('15', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin1(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin3(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['11', '14'])).
0.00/0.32	tff('16', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (zip_tseitin3(X0, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin1(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['15'])).
0.00/0.32	tff('17', plain,
0.00/0.32	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (X0(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.32	tff('18', plain,
0.00/0.32	    ![X0 : a]: (~ $true | zip_tseitin3(X0, sk_U, sk_T, sk_S) | sk_S(sk_Xx)),
0.00/0.32	    inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.32	tff('19', plain,
0.00/0.32	    ![X0 : a]: (sk_S(sk_Xx) | zip_tseitin3(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['18'])).
0.00/0.32	tff('20', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.32	      (~ X0(X1) | X2(X1) | ~ zip_tseitin0(X1, X2, X0)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.32	tff('21', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin3(X1, sk_U, sk_T, sk_S)
0.00/0.32	       | ~ zip_tseitin0(sk_Xx, X0, sk_S)
0.00/0.32	       | X0(sk_Xx)),
0.00/0.32	    inference('sup-', [status(thm)], ['19', '20'])).
0.00/0.32	tff('22', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a]:
0.00/0.32	      (X0(sk_Xx)
0.00/0.32	       | ~ zip_tseitin0(sk_Xx, X0, sk_S)
0.00/0.32	       | zip_tseitin3(X1, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['21'])).
0.00/0.32	tff('23', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin3(X1, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin3(X0, sk_U, sk_T, sk_S)
0.00/0.32	       | sk_T(sk_Xx)),
0.00/0.32	    inference('sup-', [status(thm)], ['12', '22'])).
0.00/0.32	tff('24', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (sk_T(sk_Xx)
0.00/0.32	       | zip_tseitin3(X0, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin3(X1, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['23'])).
0.00/0.32	tff('25', plain,
0.00/0.32	    ![X0 : a]: (sk_T(sk_Xx) | zip_tseitin3(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('condensation', [status(thm)], ['24'])).
0.00/0.32	tff('26', plain,
0.00/0.32	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (~ X2(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.32	tff('27', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin3(X2, sk_U, sk_T, sk_S)
0.00/0.32	       | ~ zip_tseitin1(sk_Xx, X1, sk_T, X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['25', '26'])).
0.00/0.32	tff('28', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
0.00/0.32	      (~ zip_tseitin1(sk_Xx, X1, sk_T, X0)
0.00/0.32	       | zip_tseitin3(X2, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['27'])).
0.00/0.32	tff('29', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin3(X1, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin3(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['16', '28'])).
0.00/0.32	tff('30', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (zip_tseitin3(X0, sk_U, sk_T, sk_S)
0.00/0.32	       | zip_tseitin3(X1, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['29'])).
0.00/0.32	tff('31', plain, ![X0 : a]: zip_tseitin3(X0, sk_U, sk_T, sk_S),
0.00/0.32	    inference('condensation', [status(thm)], ['30'])).
0.00/0.32	tff('32', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (zip_tseitin0(sk_Xx1, X0, X1)
0.00/0.32	       | zip_tseitin2(sk_Xx1, sk_S, X0)
0.00/0.32	       | ~ $true),
0.00/0.32	    inference('demod', [status(thm)], ['10', '31'])).
0.00/0.32	tff('33', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (zip_tseitin2(sk_Xx1, sk_S, X0) | zip_tseitin0(sk_Xx1, X0, X1)),
0.00/0.32	    inference('simplify', [status(thm)], ['32'])).
0.00/0.32	tff('34', plain,
0.00/0.32	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (~ X0(X3) | ~ zip_tseitin2(X3, X4, X0)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.32	tff('35', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	       | ~ zip_tseitin2(sk_Xx1, X0, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['4', '34'])).
0.00/0.32	tff('36', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ zip_tseitin2(sk_Xx1, X0, sk_S)
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['35'])).
0.00/0.32	tff('37', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin0(sk_Xx1, sk_S, X0)
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['33', '36'])).
0.00/0.32	tff('38', plain,
0.00/0.32	    ![X0 : a > $o]: (~ $true | zip_tseitin0(sk_Xx1, sk_S, X0) | ~ $true),
0.00/0.32	    inference('demod', [status(thm)], ['37', '31'])).
0.00/0.32	tff('39', plain, ![X0 : a > $o]: zip_tseitin0(sk_Xx1, sk_S, X0),
0.00/0.32	    inference('simplify', [status(thm)], ['38'])).
0.00/0.32	tff('40', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
0.00/0.32	       | ~ zip_tseitin0(sk_Xx1, X0, sk_S)
0.00/0.32	       | X0(sk_Xx1)),
0.00/0.32	    inference('sup-', [status(thm)], ['4', '20'])).
0.00/0.32	tff('41', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (X0(sk_Xx1)
0.00/0.32	       | ~ zip_tseitin0(sk_Xx1, X0, sk_S)
0.00/0.32	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['40'])).
0.00/0.32	tff('42', plain,
0.00/0.32	    (~ $true | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S) | sk_S(sk_Xx1)),
0.00/0.32	    inference('sup-', [status(thm)], ['39', '41'])).
0.00/0.32	tff('43', plain, (~ $true | ~ $true | sk_S(sk_Xx1)),
0.00/0.32	    inference('demod', [status(thm)], ['42', '31'])).
0.00/0.32	tff('44', plain, sk_S(sk_Xx1), inference('simplify', [status(thm)], ['43'])).
0.00/0.32	tff('45', plain,
0.00/0.32	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (zip_tseitin1(X3, X4, X2, X0) | ~ X0(X3) | ~ X4(X3) | X2(X3)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.32	tff('46', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | X0(sk_Xx1)
0.00/0.32	       | ~ X1(sk_Xx1)
0.00/0.32	       | zip_tseitin1(sk_Xx1, X1, X0, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['44', '45'])).
0.00/0.32	tff('47', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (zip_tseitin1(sk_Xx1, X1, X0, sk_S) | ~ X1(sk_Xx1) | X0(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['46'])).
0.00/0.32	tff('48', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_S(sk_Xx1)
0.00/0.32	       | X0(sk_Xx1)
0.00/0.32	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '47'])).
0.00/0.32	tff('49', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true | ~ $true | X0(sk_Xx1) | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)),
0.00/0.32	    inference('demod', [status(thm)], ['48', '44'])).
0.00/0.32	tff('50', plain,
0.00/0.32	    ![X0 : a > $o]: (zip_tseitin1(sk_Xx1, sk_U, X0, sk_S) | X0(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['49'])).
0.00/0.32	tff('51', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (~ $true | ~ sk_S(X0) | ~ zip_tseitin2(X0, X1, sk_U)),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '34'])).
0.00/0.32	tff('52', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]: (~ zip_tseitin2(X0, X1, sk_U) | ~ sk_S(X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['51'])).
0.00/0.32	tff('53', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true | zip_tseitin0(sk_Xx1, sk_U, X0) | ~ sk_S(sk_Xx1)),
0.00/0.32	    inference('sup-', [status(thm)], ['33', '52'])).
0.00/0.32	tff('54', plain,
0.00/0.32	    ![X0 : a > $o]: (~ sk_S(sk_Xx1) | zip_tseitin0(sk_Xx1, sk_U, X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['53'])).
0.00/0.32	tff('55', plain, ![X0 : a > $o]: (~ $true | zip_tseitin0(sk_Xx1, sk_U, X0)),
0.00/0.32	    inference('demod', [status(thm)], ['54', '44'])).
0.00/0.32	tff('56', plain, ![X0 : a > $o]: zip_tseitin0(sk_Xx1, sk_U, X0),
0.00/0.32	    inference('simplify', [status(thm)], ['55'])).
0.00/0.32	tff('57', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (~ $true | ~ sk_S(X0) | ~ zip_tseitin0(X0, X1, sk_U) | X1(X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '20'])).
0.00/0.32	tff('58', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (X1(X0) | ~ zip_tseitin0(X0, X1, sk_U) | ~ sk_S(X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['57'])).
0.00/0.32	tff('59', plain, (~ $true | ~ sk_S(sk_Xx1) | sk_U(sk_Xx1)),
0.00/0.32	    inference('sup-', [status(thm)], ['56', '58'])).
0.00/0.32	tff('60', plain, (~ $true | ~ $true | sk_U(sk_Xx1)),
0.00/0.32	    inference('demod', [status(thm)], ['59', '44'])).
0.00/0.32	tff('61', plain, sk_U(sk_Xx1), inference('simplify', [status(thm)], ['60'])).
0.00/0.32	tff('62', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | X0(sk_Xx1)
0.00/0.32	       | ~ X1(sk_Xx1)
0.00/0.32	       | zip_tseitin1(sk_Xx1, X1, X0, sk_U)),
0.00/0.32	    inference('sup-', [status(thm)], ['61', '45'])).
0.00/0.32	tff('63', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (zip_tseitin1(sk_Xx1, X1, X0, sk_U) | ~ X1(sk_Xx1) | X0(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['62'])).
0.00/0.32	tff('64', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_S(sk_Xx1)
0.00/0.32	       | X0(sk_Xx1)
0.00/0.32	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_U)),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '63'])).
0.00/0.32	tff('65', plain,
0.00/0.32	    ![X0 : a > $o]:
0.00/0.32	      (~ $true | ~ $true | X0(sk_Xx1) | zip_tseitin1(sk_Xx1, sk_U, X0, sk_U)),
0.00/0.32	    inference('demod', [status(thm)], ['64', '44'])).
0.00/0.32	tff('66', plain,
0.00/0.32	    ![X0 : a > $o]: (zip_tseitin1(sk_Xx1, sk_U, X0, sk_U) | X0(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['65'])).
0.00/0.32	tff('67', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_U)
0.00/0.32	       | zip_tseitin0(sk_Xx1, X0, X1)),
0.00/0.32	    inference('sup-', [status(thm)], ['66', '8'])).
0.00/0.32	tff('68', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.32	      (zip_tseitin0(sk_Xx1, X0, X1) | zip_tseitin1(sk_Xx1, sk_U, X0, sk_U)),
0.00/0.32	    inference('simplify', [status(thm)], ['67'])).
0.00/0.32	tff('69', plain,
0.00/0.32	    (~ $true
0.00/0.32	     | zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_U)
0.00/0.32	     | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['68', '2'])).
0.00/0.32	tff('70', plain,
0.00/0.32	    (~ $true | zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_U) | ~ $true),
0.00/0.32	    inference('demod', [status(thm)], ['69', '31'])).
0.00/0.32	tff('71', plain, zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_U),
0.00/0.32	    inference('simplify', [status(thm)], ['70'])).
0.00/0.32	tff('72', plain,
0.00/0.32	    ![X0 : a > $o]: (~ $true | X0(sk_Xx1) | zip_tseitin2(sk_Xx1, sk_U, X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['61', '5'])).
0.00/0.32	tff('73', plain,
0.00/0.32	    ![X0 : a > $o]: (zip_tseitin2(sk_Xx1, sk_U, X0) | X0(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['72'])).
0.00/0.32	tff('74', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin2(sk_Xx1, sk_U, X0)
0.00/0.32	       | ~ zip_tseitin1(sk_Xx1, X2, X0, X1)),
0.00/0.32	    inference('sup-', [status(thm)], ['73', '26'])).
0.00/0.32	tff('75', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.32	      (~ zip_tseitin1(sk_Xx1, X2, X0, X1) | zip_tseitin2(sk_Xx1, sk_U, X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['74'])).
0.00/0.32	tff('76', plain, (~ $true | zip_tseitin2(sk_Xx1, sk_U, sk_T)),
0.00/0.32	    inference('sup-', [status(thm)], ['71', '75'])).
0.00/0.32	tff('77', plain, zip_tseitin2(sk_Xx1, sk_U, sk_T),
0.00/0.32	    inference('simplify', [status(thm)], ['76'])).
0.00/0.32	tff('78', plain, ![X5 : a]: (sk_U(X5) | ~ sk_T(X5)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.32	tff('79', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (~ $true | ~ sk_T(X0) | X1(X0) | zip_tseitin2(X0, sk_U, X1)),
0.00/0.32	    inference('sup-', [status(thm)], ['78', '5'])).
0.00/0.32	tff('80', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (zip_tseitin2(X0, sk_U, X1) | X1(X0) | ~ sk_T(X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['79'])).
0.00/0.32	tff('81', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_T(X1)
0.00/0.32	       | zip_tseitin2(X1, sk_U, X0)
0.00/0.32	       | ~ zip_tseitin2(X1, X2, X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['80', '34'])).
0.00/0.32	tff('82', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.32	      (~ zip_tseitin2(X1, X2, X0) | zip_tseitin2(X1, sk_U, X0) | ~ sk_T(X1)),
0.00/0.32	    inference('simplify', [status(thm)], ['81'])).
0.00/0.32	tff('83', plain,
0.00/0.32	    (~ $true | ~ sk_T(sk_Xx1) | zip_tseitin2(sk_Xx1, sk_U, sk_T)),
0.00/0.32	    inference('sup-', [status(thm)], ['77', '82'])).
0.00/0.32	tff('84', plain, (zip_tseitin2(sk_Xx1, sk_U, sk_T) | ~ sk_T(sk_Xx1)),
0.00/0.32	    inference('simplify', [status(thm)], ['83'])).
0.00/0.32	tff('85', plain, ~ sk_T(sk_Xx1),
0.00/0.32	    inference('clc', [status(thm)], ['84', '34'])).
0.00/0.32	tff('86', plain, (~ $true | zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['50', '85'])).
0.00/0.32	tff('87', plain, zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_S),
0.00/0.32	    inference('simplify', [status(thm)], ['86'])).
0.00/0.32	tff('88', plain,
0.00/0.32	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.00/0.32	      (~ zip_tseitin1(X3, X4, X2, X0)
0.00/0.32	       | zip_tseitin2(X3, X4, X0)
0.00/0.32	       | ~ zip_tseitin3(X3, X4, X2, X0)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.32	tff('89', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | zip_tseitin2(X0, sk_U, sk_S)
0.00/0.32	       | ~ zip_tseitin1(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['31', '88'])).
0.00/0.32	tff('90', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (~ zip_tseitin1(X0, sk_U, sk_T, sk_S) | zip_tseitin2(X0, sk_U, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['89'])).
0.00/0.32	tff('91', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (~ $true | ~ sk_S(X0) | X1(X0) | zip_tseitin2(X0, sk_U, X1)),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '5'])).
0.00/0.32	tff('92', plain,
0.00/0.32	    ![X0 : a, X1 : a > $o]:
0.00/0.32	      (zip_tseitin2(X0, sk_U, X1) | X1(X0) | ~ sk_S(X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['91'])).
0.00/0.32	tff('93', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ sk_S(X1)
0.00/0.32	       | zip_tseitin2(X1, sk_U, X0)
0.00/0.32	       | ~ zip_tseitin2(X1, X2, X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['92', '34'])).
0.00/0.32	tff('94', plain,
0.00/0.32	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.32	      (~ zip_tseitin2(X1, X2, X0) | zip_tseitin2(X1, sk_U, X0) | ~ sk_S(X1)),
0.00/0.32	    inference('simplify', [status(thm)], ['93'])).
0.00/0.32	tff('95', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (~ $true
0.00/0.32	       | ~ zip_tseitin1(X0, sk_U, sk_T, sk_S)
0.00/0.32	       | ~ sk_S(X0)
0.00/0.32	       | zip_tseitin2(X0, sk_U, sk_S)),
0.00/0.32	    inference('sup-', [status(thm)], ['90', '94'])).
0.00/0.32	tff('96', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (zip_tseitin2(X0, sk_U, sk_S)
0.00/0.32	       | ~ sk_S(X0)
0.00/0.32	       | ~ zip_tseitin1(X0, sk_U, sk_T, sk_S)),
0.00/0.32	    inference('simplify', [status(thm)], ['95'])).
0.00/0.32	tff('97', plain,
0.00/0.32	    ![X0 : a]: (~ zip_tseitin1(X0, sk_U, sk_T, sk_S) | ~ sk_S(X0)),
0.00/0.32	    inference('clc', [status(thm)], ['96', '34'])).
0.00/0.32	tff('98', plain, ![X0 : a]: ~ zip_tseitin1(X0, sk_U, sk_T, sk_S),
0.00/0.32	    inference('clc', [status(thm)], ['97', '17'])).
0.00/0.32	tff('99', plain, ~ $true, inference('sup-', [status(thm)], ['87', '98'])).
0.00/0.32	tff('100', plain, $false, inference('simplify', [status(thm)], ['99'])).
0.00/0.32	
0.00/0.32	% SZS output end Refutation
0.00/0.32	EOF
