0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_ext
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n160.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:19:54 CST 2018
2.73/2.99	% done 1809 iterations in 2.796s
2.73/2.99	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.73/2.99	% SZS output start Refutation
2.73/2.99	tff(cGAZING_THM35_pme, conjecture,
2.73/2.99	  (![S:(a > $o),T:(a > $o),U:(a > $o)]:
2.73/2.99	     (((![Xx:a]: (S(Xx) => U(Xx))) & (![Xx:a]: (T(Xx) => U(Xx)))) =>
2.73/2.99	      ((![Xx:a]: (S(Xx) => T(Xx))) <=>
2.73/2.99	       (![Xx:a]: ((S(Xx) & U(Xx) & (~T(Xx))) => (U(Xx) & (~S(Xx))))))))).
2.73/2.99	tff(zf_stmt_0, axiom,
2.73/2.99	  (zip_tseitin3(Xx,U,T,S) <=>
2.73/2.99	   (zip_tseitin1(Xx,U,T,S) => zip_tseitin2(Xx,U,S)))).
2.73/2.99	tff('0', plain,
2.73/2.99	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (zip_tseitin3(X3, X4, X2, X0) | zip_tseitin1(X3, X4, X2, X0)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.73/2.99	tff(zf_stmt_1, axiom, (zip_tseitin0(Xx,T,S) <=> (S(Xx) => T(Xx)))).
2.73/2.99	tff('1', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o]: (zip_tseitin0(X1, X2, X0) | X0(X1)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.73/2.99	tff(zf_stmt_2, type, zip_tseitin3 : (a * a > $o * a > $o * a > $o) > $o).
2.73/2.99	tff(zf_stmt_3, type, zip_tseitin2 : (a * a > $o * a > $o) > $o).
2.73/2.99	tff(zf_stmt_4, axiom, (zip_tseitin2(Xx,U,S) <=> ((~S(Xx)) & U(Xx)))).
2.73/2.99	tff(zf_stmt_5, type, zip_tseitin1 : (a * a > $o * a > $o * a > $o) > $o).
2.73/2.99	tff(zf_stmt_6, axiom,
2.73/2.99	  (zip_tseitin1(Xx,U,T,S) <=> ((~T(Xx)) & U(Xx) & S(Xx)))).
2.73/2.99	tff(zf_stmt_7, type, zip_tseitin0 : (a * a > $o * a > $o) > $o).
2.73/2.99	tff(zf_stmt_8, conjecture,
2.73/2.99	  (![S:(a > $o),T:(a > $o),U:(a > $o)]:
2.73/2.99	     (((![Xx:a]: (T(Xx) => U(Xx))) & (![Xx:a]: (S(Xx) => U(Xx)))) =>
2.73/2.99	      ((![Xx:a]: zip_tseitin0(Xx,T,S)) <=> (![Xx:a]: zip_tseitin3(Xx,U,T,S)))))).
2.73/2.99	tff(zf_stmt_9, negated_conjecture,
2.73/2.99	  (~
2.73/2.99	    (![S:(a > $o),T:(a > $o),U:(a > $o)]:
2.73/2.99	       (((![Xx:a]: (T(Xx) => U(Xx))) & (![Xx:a]: (S(Xx) => U(Xx)))) =>
2.73/2.99	        ((![Xx:a]: zip_tseitin0(Xx,T,S)) <=>
2.73/2.99	         (![Xx:a]: zip_tseitin3(Xx,U,T,S))))))).
2.73/2.99	tff('2', plain,
2.73/2.99	    (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	     | ~ zip_tseitin0(sk_Xx1, sk_T, sk_S)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.73/2.99	tff('3', plain,
2.73/2.99	    (~ $true | sk_S(sk_Xx1) | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['1', '2'])).
2.73/2.99	tff('4', plain, (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S) | sk_S(sk_Xx1)),
2.73/2.99	    inference('simplify', [status(thm)], ['3'])).
2.73/2.99	tff('5', plain,
2.73/2.99	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (zip_tseitin2(X3, X4, X0) | ~ X4(X3) | X0(X3)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.73/2.99	tff('6', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | X0(sk_Xx1)
2.73/2.99	       | zip_tseitin2(sk_Xx1, sk_S, X0)),
2.73/2.99	    inference('sup-', [status(thm)], ['4', '5'])).
2.73/2.99	tff('7', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (zip_tseitin2(sk_Xx1, sk_S, X0)
2.73/2.99	       | X0(sk_Xx1)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['6'])).
2.73/2.99	tff('8', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
2.73/2.99	      (zip_tseitin0(X1, X2, X0) | ~ X2(X1)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.73/2.99	tff('9', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin2(sk_Xx1, sk_S, X0)
2.73/2.99	       | zip_tseitin0(sk_Xx1, X0, X1)),
2.73/2.99	    inference('sup-', [status(thm)], ['7', '8'])).
2.73/2.99	tff('10', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (zip_tseitin0(sk_Xx1, X0, X1)
2.73/2.99	       | zip_tseitin2(sk_Xx1, sk_S, X0)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['9'])).
2.73/2.99	tff('11', plain, ![X6 : a]: (sk_U(X6) | ~ sk_S(X6)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.73/2.99	tff('12', plain,
2.73/2.99	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (~ X0(X3) | ~ zip_tseitin2(X3, X4, X0)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.73/2.99	tff('13', plain,
2.73/2.99	    ![X0 : a, X1 : a > $o]:
2.73/2.99	      (~ $true | ~ sk_S(X0) | ~ zip_tseitin2(X0, X1, sk_U)),
2.73/2.99	    inference('sup-', [status(thm)], ['11', '12'])).
2.73/2.99	tff('14', plain,
2.73/2.99	    ![X0 : a, X1 : a > $o]: (~ zip_tseitin2(X0, X1, sk_U) | ~ sk_S(X0)),
2.73/2.99	    inference('simplify', [status(thm)], ['13'])).
2.73/2.99	tff('15', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin0(sk_Xx1, sk_U, X0)
2.73/2.99	       | ~ sk_S(sk_Xx1)),
2.73/2.99	    inference('sup-', [status(thm)], ['10', '14'])).
2.73/2.99	tff('16', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ sk_S(sk_Xx1)
2.73/2.99	       | zip_tseitin0(sk_Xx1, sk_U, X0)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['15'])).
2.73/2.99	tff('17', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin0(sk_Xx1, sk_U, X0)),
2.73/2.99	    inference('clc', [status(thm)], ['16', '4'])).
2.73/2.99	tff('18', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
2.73/2.99	      (~ X0(X1) | X2(X1) | ~ zip_tseitin0(X1, X2, X0)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.73/2.99	tff('19', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | zip_tseitin0(X1, X3, X0)
2.73/2.99	       | ~ zip_tseitin0(X1, X2, X0)
2.73/2.99	       | X2(X1)),
2.73/2.99	    inference('sup-', [status(thm)], ['1', '18'])).
2.73/2.99	tff('20', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
2.73/2.99	      (X2(X1) | ~ zip_tseitin0(X1, X2, X0) | zip_tseitin0(X1, X3, X0)),
2.73/2.99	    inference('simplify', [status(thm)], ['19'])).
2.73/2.99	tff('21', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin0(sk_Xx1, X1, X0)
2.73/2.99	       | sk_U(sk_Xx1)),
2.73/2.99	    inference('sup-', [status(thm)], ['17', '20'])).
2.73/2.99	tff('22', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (sk_U(sk_Xx1)
2.73/2.99	       | zip_tseitin0(sk_Xx1, X1, X0)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['21'])).
2.73/2.99	tff('23', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | ~ zip_tseitin0(sk_Xx1, X0, sk_S)
2.73/2.99	       | X0(sk_Xx1)),
2.73/2.99	    inference('sup-', [status(thm)], ['4', '18'])).
2.73/2.99	tff('24', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (X0(sk_Xx1)
2.73/2.99	       | ~ zip_tseitin0(sk_Xx1, X0, sk_S)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['23'])).
2.73/2.99	tff('25', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | sk_U(sk_Xx1)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | X0(sk_Xx1)),
2.73/2.99	    inference('sup-', [status(thm)], ['22', '24'])).
2.73/2.99	tff('26', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (X0(sk_Xx1) | sk_U(sk_Xx1) | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['25'])).
2.73/2.99	tff('27', plain, (~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S) | sk_U(sk_Xx1)),
2.73/2.99	    inference('condensation', [status(thm)], ['26'])).
2.73/2.99	tff('28', plain,
2.73/2.99	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (zip_tseitin1(X3, X4, X2, X0) | ~ X0(X3) | ~ X4(X3) | X2(X3)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.73/2.99	tff('29', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | X0(sk_Xx1)
2.73/2.99	       | ~ X1(sk_Xx1)
2.73/2.99	       | zip_tseitin1(sk_Xx1, X1, X0, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['4', '28'])).
2.73/2.99	tff('30', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (zip_tseitin1(sk_Xx1, X1, X0, sk_S)
2.73/2.99	       | ~ X1(sk_Xx1)
2.73/2.99	       | X0(sk_Xx1)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['29'])).
2.73/2.99	tff('31', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | X0(sk_Xx1)
2.73/2.99	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['27', '30'])).
2.73/2.99	tff('32', plain,
2.73/2.99	    ![X0 : a > $o]:
2.73/2.99	      (zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)
2.73/2.99	       | X0(sk_Xx1)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['31'])).
2.73/2.99	tff('33', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)
2.73/2.99	       | zip_tseitin0(sk_Xx1, X0, X1)),
2.73/2.99	    inference('sup-', [status(thm)], ['32', '8'])).
2.73/2.99	tff('34', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (zip_tseitin0(sk_Xx1, X0, X1)
2.73/2.99	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['33'])).
2.73/2.99	tff('35', plain,
2.73/2.99	    (~ $true
2.73/2.99	     | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	     | zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_S)
2.73/2.99	     | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['34', '2'])).
2.73/2.99	tff('36', plain,
2.73/2.99	    (zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_S)
2.73/2.99	     | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['35'])).
2.73/2.99	tff('37', plain,
2.73/2.99	    ![X7 : a, X8 : a]:
2.73/2.99	      (zip_tseitin3(X7, sk_U, sk_T, sk_S) | zip_tseitin0(X8, sk_T, sk_S)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.73/2.99	tff('38', plain,
2.73/2.99	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (~ zip_tseitin1(X3, X4, X2, X0)
2.73/2.99	       | zip_tseitin2(X3, X4, X0)
2.73/2.99	       | ~ zip_tseitin3(X3, X4, X2, X0)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.73/2.99	tff('39', plain,
2.73/2.99	    ![X0 : a, X1 : a]:
2.73/2.99	      (~ $true
2.73/2.99	       | zip_tseitin0(X1, sk_T, sk_S)
2.73/2.99	       | zip_tseitin2(X0, sk_U, sk_S)
2.73/2.99	       | ~ zip_tseitin1(X0, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['37', '38'])).
2.73/2.99	tff('40', plain,
2.73/2.99	    ![X0 : a, X1 : a]:
2.73/2.99	      (~ zip_tseitin1(X0, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin2(X0, sk_U, sk_S)
2.73/2.99	       | zip_tseitin0(X1, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['39'])).
2.73/2.99	tff('41', plain,
2.73/2.99	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (X0(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.73/2.99	tff('42', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
2.73/2.99	      (~ $true | ~ zip_tseitin1(X1, X4, X3, X0) | ~ zip_tseitin2(X1, X2, X0)),
2.73/2.99	    inference('sup-', [status(thm)], ['41', '12'])).
2.73/2.99	tff('43', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
2.73/2.99	      (~ zip_tseitin2(X1, X2, X0) | ~ zip_tseitin1(X1, X4, X3, X0)),
2.73/2.99	    inference('simplify', [status(thm)], ['42'])).
2.73/2.99	tff('44', plain,
2.73/2.99	    ![X0 : a, X1 : a]:
2.73/2.99	      (zip_tseitin0(X1, sk_T, sk_S) | ~ zip_tseitin1(X0, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('clc', [status(thm)], ['40', '43'])).
2.73/2.99	tff('45', plain,
2.73/2.99	    ![X0 : a]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)
2.73/2.99	       | zip_tseitin0(X0, sk_T, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['36', '44'])).
2.73/2.99	tff('46', plain,
2.73/2.99	    ![X0 : a]:
2.73/2.99	      (zip_tseitin0(X0, sk_T, sk_S) | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['45'])).
2.73/2.99	tff('47', plain, ![X0 : a]: zip_tseitin0(X0, sk_T, sk_S),
2.73/2.99	    inference('clc', [status(thm)], ['46', '37'])).
2.73/2.99	tff('48', plain, (~ $true | ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['47', '2'])).
2.73/2.99	tff('49', plain, ~ zip_tseitin3(sk_Xx, sk_U, sk_T, sk_S),
2.73/2.99	    inference('simplify', [status(thm)], ['48'])).
2.73/2.99	tff('50', plain, (~ $true | zip_tseitin1(sk_Xx, sk_U, sk_T, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['0', '49'])).
2.73/2.99	tff('51', plain, zip_tseitin1(sk_Xx, sk_U, sk_T, sk_S),
2.73/2.99	    inference('simplify', [status(thm)], ['50'])).
2.73/2.99	tff('52', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin1(X1, X4, X3, X0)
2.73/2.99	       | ~ zip_tseitin0(X1, X2, X0)
2.73/2.99	       | X2(X1)),
2.73/2.99	    inference('sup-', [status(thm)], ['41', '18'])).
2.73/2.99	tff('53', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
2.73/2.99	      (X2(X1) | ~ zip_tseitin0(X1, X2, X0) | ~ zip_tseitin1(X1, X4, X3, X0)),
2.73/2.99	    inference('simplify', [status(thm)], ['52'])).
2.73/2.99	tff('54', plain,
2.73/2.99	    ![X0 : a, X1 : a > $o, X2 : a > $o]:
2.73/2.99	      (~ $true | ~ zip_tseitin1(X0, X2, X1, sk_S) | sk_T(X0)),
2.73/2.99	    inference('sup-', [status(thm)], ['47', '53'])).
2.73/2.99	tff('55', plain,
2.73/2.99	    ![X0 : a, X1 : a > $o, X2 : a > $o]:
2.73/2.99	      (sk_T(X0) | ~ zip_tseitin1(X0, X2, X1, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['54'])).
2.73/2.99	tff('56', plain,
2.73/2.99	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
2.73/2.99	      (~ X2(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
2.73/2.99	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.73/2.99	tff('57', plain,
2.73/2.99	    ![X0 : a, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
2.73/2.99	      (~ $true
2.73/2.99	       | ~ zip_tseitin1(X0, X4, X3, sk_S)
2.73/2.99	       | ~ zip_tseitin1(X0, X2, sk_T, X1)),
2.73/2.99	    inference('sup-', [status(thm)], ['55', '56'])).
2.73/2.99	tff('58', plain,
2.73/2.99	    ![X0 : a, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
2.73/2.99	      (~ zip_tseitin1(X0, X2, sk_T, X1) | ~ zip_tseitin1(X0, X4, X3, sk_S)),
2.73/2.99	    inference('simplify', [status(thm)], ['57'])).
2.73/2.99	tff('59', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]:
2.73/2.99	      (~ $true | ~ zip_tseitin1(sk_Xx, X1, X0, sk_S)),
2.73/2.99	    inference('sup-', [status(thm)], ['51', '58'])).
2.73/2.99	tff('60', plain,
2.73/2.99	    ![X0 : a > $o, X1 : a > $o]: ~ zip_tseitin1(sk_Xx, X1, X0, sk_S),
2.73/2.99	    inference('simplify', [status(thm)], ['59'])).
2.73/2.99	tff('61', plain, ~ $true, inference('sup-', [status(thm)], ['51', '60'])).
2.73/2.99	tff('62', plain, $false, inference('simplify', [status(thm)], ['61'])).
2.73/2.99	
2.73/2.99	% SZS output end Refutation
2.73/3.00	EOF
