0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
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	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
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
0.00/0.20	% Computer   : n124.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 17:10:25 CST 2018
4.02/4.21	% done 1934 iterations in 4.010s
4.02/4.21	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
4.02/4.21	% SZS output start Refutation
4.02/4.21	tff(cBOOL_PROP_100_pme, conjecture,
4.02/4.21	  (![X:(a > $o),Y:(a > $o),Z:(a > $o)]:
4.02/4.21	     ((?[Xx:a]: (X(Xx) & (Y(Xx) | Z(Xx)))) <=>
4.02/4.21	      ((?[Xx:a]: (X(Xx) & Y(Xx))) | (?[Xx:a]: (X(Xx) & Z(Xx))))))).
4.02/4.21	tff(zf_stmt_0, type, zip_tseitin2 : (a * a > $o * a > $o) > $o).
4.02/4.21	tff(zf_stmt_1, axiom, (zip_tseitin2(Xx,Z,X) <=> (Z(Xx) & X(Xx)))).
4.02/4.21	tff(zf_stmt_2, type, zip_tseitin1 : (a * a > $o * a > $o) > $o).
4.02/4.21	tff(zf_stmt_3, axiom, (zip_tseitin1(Xx,Y,X) <=> (Y(Xx) & X(Xx)))).
4.02/4.21	tff(zf_stmt_4, type, zip_tseitin0 : (a * a > $o * a > $o) > $o).
4.02/4.21	tff(zf_stmt_5, axiom, (zip_tseitin0(Xx,Z,Y) <=> (Z(Xx) | Y(Xx)))).
4.02/4.21	tff(zf_stmt_6, conjecture,
4.02/4.21	  (![X:(a > $o),Y:(a > $o),Z:(a > $o)]:
4.02/4.21	     ((?[Xx:a]: (zip_tseitin0(Xx,Z,Y) & X(Xx))) <=>
4.02/4.21	      ((?[Xx:a]: zip_tseitin2(Xx,Z,X)) | (?[Xx:a]: zip_tseitin1(Xx,Y,X)))))).
4.02/4.21	tff(zf_stmt_7, negated_conjecture,
4.02/4.21	  (~
4.02/4.21	    (![X:(a > $o),Y:(a > $o),Z:(a > $o)]:
4.02/4.21	       ((?[Xx:a]: (zip_tseitin0(Xx,Z,Y) & X(Xx))) <=>
4.02/4.21	        ((?[Xx:a]: zip_tseitin2(Xx,Z,X)) | (?[Xx:a]: zip_tseitin1(Xx,Y,X))))))).
4.02/4.21	tff('0', plain,
4.02/4.21	    (zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin0(sk_Xx2, sk_Z, sk_Y)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
4.02/4.21	tff('1', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
4.02/4.21	      (X0(X1) | X2(X1) | ~ zip_tseitin0(X1, X2, X0)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_5])).
4.02/4.21	tff('2', plain,
4.02/4.21	    (~ $true
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | sk_Z(sk_Xx2)
4.02/4.21	     | sk_Y(sk_Xx2)),
4.02/4.21	    inference('sup-', [status(thm)], ['0', '1'])).
4.02/4.21	tff('3', plain,
4.02/4.21	    (sk_Y(sk_Xx2)
4.02/4.21	     | sk_Z(sk_Xx2)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['2'])).
4.02/4.21	tff('4', plain,
4.02/4.21	    (zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | sk_X(sk_Xx2)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
4.02/4.21	tff('5', plain,
4.02/4.21	    ![X2 : a > $o, X4 : a > $o, X5 : a]:
4.02/4.21	      (zip_tseitin2(X5, X2, X4) | ~ X4(X5) | ~ X2(X5)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.02/4.21	tff('6', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (~ $true
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | ~ X0(sk_Xx2)
4.02/4.21	       | zip_tseitin2(sk_Xx2, X0, sk_X)),
4.02/4.21	    inference('sup-', [status(thm)], ['4', '5'])).
4.02/4.21	tff('7', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (zip_tseitin2(sk_Xx2, X0, sk_X)
4.02/4.21	       | ~ X0(sk_Xx2)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['6'])).
4.02/4.21	tff('8', plain,
4.02/4.21	    (~ $true
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | sk_Y(sk_Xx2)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx2, sk_Z, sk_X)),
4.02/4.21	    inference('sup-', [status(thm)], ['3', '7'])).
4.02/4.21	tff('9', plain,
4.02/4.21	    (zip_tseitin2(sk_Xx2, sk_Z, sk_X)
4.02/4.21	     | sk_Y(sk_Xx2)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['8'])).
4.02/4.21	tff('10', plain,
4.02/4.21	    ![X6 : a, X7 : a]:
4.02/4.21	      (~ zip_tseitin2(X6, sk_Z, sk_X)
4.02/4.21	       | ~ sk_X(X7)
4.02/4.21	       | ~ zip_tseitin0(X7, sk_Z, sk_Y)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
4.02/4.21	tff('11', plain,
4.02/4.21	    ![X0 : a]:
4.02/4.21	      (~ $true
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | sk_Y(sk_Xx2)
4.02/4.21	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
4.02/4.21	       | ~ sk_X(X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['9', '10'])).
4.02/4.21	tff('12', plain,
4.02/4.21	    ![X0 : a]:
4.02/4.21	      (~ sk_X(X0)
4.02/4.21	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
4.02/4.21	       | sk_Y(sk_Xx2)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['11'])).
4.02/4.21	tff('13', plain,
4.02/4.21	    ![X7 : a, X8 : a]:
4.02/4.21	      (~ zip_tseitin1(X8, sk_Y, sk_X)
4.02/4.21	       | ~ sk_X(X7)
4.02/4.21	       | ~ zip_tseitin0(X7, sk_Z, sk_Y)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
4.02/4.21	tff('14', plain,
4.02/4.21	    ![X0 : a]:
4.02/4.21	      (zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | sk_Y(sk_Xx2)
4.02/4.21	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
4.02/4.21	       | ~ sk_X(X0)),
4.02/4.21	    inference('clc', [status(thm)], ['12', '13'])).
4.02/4.21	tff('15', plain,
4.02/4.21	    ![X0 : a]: (~ sk_X(X0) | ~ zip_tseitin0(X0, sk_Z, sk_Y) | sk_Y(sk_Xx2)),
4.02/4.21	    inference('clc', [status(thm)], ['14', '10'])).
4.02/4.21	tff('16', plain,
4.02/4.21	    (~ $true
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | sk_Y(sk_Xx2)
4.02/4.21	     | ~ sk_X(sk_Xx2)),
4.02/4.21	    inference('sup-', [status(thm)], ['0', '15'])).
4.02/4.21	tff('17', plain,
4.02/4.21	    (~ sk_X(sk_Xx2)
4.02/4.21	     | sk_Y(sk_Xx2)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['16'])).
4.02/4.21	tff('18', plain,
4.02/4.21	    (zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | sk_Y(sk_Xx2)),
4.02/4.21	    inference('clc', [status(thm)], ['17', '4'])).
4.02/4.21	tff('19', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X2, X0) | ~ X0(X1)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_5])).
4.02/4.21	tff('20', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (~ $true
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | zip_tseitin0(sk_Xx2, X0, sk_Y)),
4.02/4.21	    inference('sup-', [status(thm)], ['18', '19'])).
4.02/4.21	tff('21', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (zip_tseitin0(sk_Xx2, X0, sk_Y)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['20'])).
4.02/4.21	tff('22', plain,
4.02/4.21	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
4.02/4.21	      (zip_tseitin1(X3, X0, X4) | ~ X4(X3) | ~ X0(X3)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_3])).
4.02/4.21	tff('23', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (~ $true
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | ~ X0(sk_Xx2)
4.02/4.21	       | zip_tseitin1(sk_Xx2, X0, sk_X)),
4.02/4.21	    inference('sup-', [status(thm)], ['4', '22'])).
4.02/4.21	tff('24', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (zip_tseitin1(sk_Xx2, X0, sk_X)
4.02/4.21	       | ~ X0(sk_Xx2)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['23'])).
4.02/4.21	tff('25', plain,
4.02/4.21	    (~ $true
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx2, sk_Y, sk_X)),
4.02/4.21	    inference('sup-', [status(thm)], ['18', '24'])).
4.02/4.21	tff('26', plain,
4.02/4.21	    (zip_tseitin1(sk_Xx2, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['25'])).
4.02/4.21	tff('27', plain,
4.02/4.21	    ![X0 : a]:
4.02/4.21	      (~ $true
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
4.02/4.21	       | ~ sk_X(X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['26', '13'])).
4.02/4.21	tff('28', plain,
4.02/4.21	    ![X0 : a]:
4.02/4.21	      (~ sk_X(X0)
4.02/4.21	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
4.02/4.21	       | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['27'])).
4.02/4.21	tff('29', plain,
4.02/4.21	    ![X0 : a]:
4.02/4.21	      (zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | ~ zip_tseitin0(X0, sk_Z, sk_Y)
4.02/4.21	       | ~ sk_X(X0)),
4.02/4.21	    inference('clc', [status(thm)], ['28', '10'])).
4.02/4.21	tff('30', plain, ![X0 : a]: (~ sk_X(X0) | ~ zip_tseitin0(X0, sk_Z, sk_Y)),
4.02/4.21	    inference('clc', [status(thm)], ['29', '13'])).
4.02/4.21	tff('31', plain,
4.02/4.21	    (~ $true
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | ~ sk_X(sk_Xx2)),
4.02/4.21	    inference('sup-', [status(thm)], ['21', '30'])).
4.02/4.21	tff('32', plain,
4.02/4.21	    (~ sk_X(sk_Xx2)
4.02/4.21	     | zip_tseitin2(sk_Xx1, sk_Z, sk_X)
4.02/4.21	     | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['31'])).
4.02/4.21	tff('33', plain,
4.02/4.21	    (zip_tseitin1(sk_Xx, sk_Y, sk_X) | zip_tseitin2(sk_Xx1, sk_Z, sk_X)),
4.02/4.21	    inference('clc', [status(thm)], ['32', '4'])).
4.02/4.21	tff('34', plain,
4.02/4.21	    ![X2 : a > $o, X4 : a > $o, X5 : a]:
4.02/4.21	      (X2(X5) | ~ zip_tseitin2(X5, X2, X4)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.02/4.21	tff('35', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
4.02/4.21	      (~ $true | ~ zip_tseitin2(X1, X0, X3) | zip_tseitin0(X1, X2, X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['34', '19'])).
4.02/4.21	tff('36', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X2, X0) | ~ zip_tseitin2(X1, X0, X3)),
4.02/4.21	    inference('simplify', [status(thm)], ['35'])).
4.02/4.21	tff('37', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (~ $true
4.02/4.21	       | zip_tseitin1(sk_Xx, sk_Y, sk_X)
4.02/4.21	       | zip_tseitin0(sk_Xx1, X0, sk_Z)),
4.02/4.21	    inference('sup-', [status(thm)], ['33', '36'])).
4.02/4.21	tff('38', plain,
4.02/4.21	    ![X0 : a > $o]:
4.02/4.21	      (zip_tseitin0(sk_Xx1, X0, sk_Z) | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['37'])).
4.02/4.21	tff('39', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X2, X0) | ~ X2(X1)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_5])).
4.02/4.21	tff('40', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
4.02/4.21	      (~ $true
4.02/4.21	       | ~ zip_tseitin0(X1, X3, X0)
4.02/4.21	       | X3(X1)
4.02/4.21	       | zip_tseitin0(X1, X0, X2)),
4.02/4.21	    inference('sup-', [status(thm)], ['1', '39'])).
4.02/4.21	tff('41', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X0, X2) | X3(X1) | ~ zip_tseitin0(X1, X3, X0)),
4.02/4.21	    inference('simplify', [status(thm)], ['40'])).
4.02/4.21	tff('42', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
4.02/4.21	      (~ $true
4.02/4.21	       | ~ zip_tseitin0(X1, X0, X3)
4.02/4.21	       | zip_tseitin0(X1, X3, X4)
4.02/4.21	       | zip_tseitin0(X1, X2, X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['41', '19'])).
4.02/4.21	tff('43', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X2, X0)
4.02/4.21	       | zip_tseitin0(X1, X3, X4)
4.02/4.21	       | ~ zip_tseitin0(X1, X0, X3)),
4.02/4.21	    inference('simplify', [status(thm)], ['42'])).
4.02/4.21	tff('44', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
4.02/4.21	      (~ $true | ~ zip_tseitin0(X2, X0, X1) | zip_tseitin0(X2, X1, X0)),
4.02/4.21	    inference('eq_fact', [status(thm)], ['43'])).
4.02/4.21	tff('45', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
4.02/4.21	      (zip_tseitin0(X2, X1, X0) | ~ zip_tseitin0(X2, X0, X1)),
4.02/4.21	    inference('simplify', [status(thm)], ['44'])).
4.02/4.21	tff('46', plain,
4.02/4.21	    ![X0 : a]: (~ $true | ~ zip_tseitin0(X0, sk_Y, sk_Z) | ~ sk_X(X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['45', '30'])).
4.02/4.21	tff('47', plain, ![X0 : a]: (~ sk_X(X0) | ~ zip_tseitin0(X0, sk_Y, sk_Z)),
4.02/4.21	    inference('simplify', [status(thm)], ['46'])).
4.02/4.21	tff('48', plain,
4.02/4.21	    (~ $true | zip_tseitin1(sk_Xx, sk_Y, sk_X) | ~ sk_X(sk_Xx1)),
4.02/4.21	    inference('sup-', [status(thm)], ['38', '47'])).
4.02/4.21	tff('49', plain, (~ sk_X(sk_Xx1) | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['48'])).
4.02/4.21	tff('50', plain,
4.02/4.21	    ![X2 : a > $o, X4 : a > $o, X5 : a]:
4.02/4.21	      (X4(X5) | ~ zip_tseitin2(X5, X2, X4)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_1])).
4.02/4.21	tff('51', plain, (~ $true | zip_tseitin1(sk_Xx, sk_Y, sk_X) | sk_X(sk_Xx1)),
4.02/4.21	    inference('sup-', [status(thm)], ['33', '50'])).
4.02/4.21	tff('52', plain, (sk_X(sk_Xx1) | zip_tseitin1(sk_Xx, sk_Y, sk_X)),
4.02/4.21	    inference('simplify', [status(thm)], ['51'])).
4.02/4.21	tff('53', plain, zip_tseitin1(sk_Xx, sk_Y, sk_X),
4.02/4.21	    inference('clc', [status(thm)], ['49', '52'])).
4.02/4.21	tff('54', plain,
4.02/4.21	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
4.02/4.21	      (X0(X3) | ~ zip_tseitin1(X3, X0, X4)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_3])).
4.02/4.21	tff('55', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
4.02/4.21	      (~ $true | ~ zip_tseitin1(X1, X0, X3) | zip_tseitin0(X1, X2, X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['54', '19'])).
4.02/4.21	tff('56', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X2, X0) | ~ zip_tseitin1(X1, X0, X3)),
4.02/4.21	    inference('simplify', [status(thm)], ['55'])).
4.02/4.21	tff('57', plain, ![X0 : a > $o]: (~ $true | zip_tseitin0(sk_Xx, X0, sk_Y)),
4.02/4.21	    inference('sup-', [status(thm)], ['53', '56'])).
4.02/4.21	tff('58', plain, ![X0 : a > $o]: zip_tseitin0(sk_Xx, X0, sk_Y),
4.02/4.21	    inference('simplify', [status(thm)], ['57'])).
4.02/4.21	tff('59', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a]: (~ $true | ~ zip_tseitin0(X1, X0, X0) | X0(X1)),
4.02/4.21	    inference('eq_fact', [status(thm)], ['1'])).
4.02/4.21	tff('60', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a]: (X0(X1) | ~ zip_tseitin0(X1, X0, X0)),
4.02/4.21	    inference('simplify', [status(thm)], ['59'])).
4.02/4.21	tff('61', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
4.02/4.21	      (~ $true | ~ zip_tseitin0(X1, X0, X0) | zip_tseitin0(X1, X2, X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['60', '19'])).
4.02/4.21	tff('62', plain,
4.02/4.21	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
4.02/4.21	      (zip_tseitin0(X1, X2, X0) | ~ zip_tseitin0(X1, X0, X0)),
4.02/4.21	    inference('simplify', [status(thm)], ['61'])).
4.02/4.21	tff('63', plain,
4.02/4.21	    ![X0 : a]: (~ $true | ~ zip_tseitin0(X0, sk_Y, sk_Y) | ~ sk_X(X0)),
4.02/4.21	    inference('sup-', [status(thm)], ['62', '30'])).
4.02/4.21	tff('64', plain, ![X0 : a]: (~ sk_X(X0) | ~ zip_tseitin0(X0, sk_Y, sk_Y)),
4.02/4.21	    inference('simplify', [status(thm)], ['63'])).
4.02/4.21	tff('65', plain, (~ $true | ~ sk_X(sk_Xx)),
4.02/4.21	    inference('sup-', [status(thm)], ['58', '64'])).
4.02/4.21	tff('66', plain,
4.02/4.21	    ![X0 : a > $o, X3 : a, X4 : a > $o]:
4.02/4.21	      (X4(X3) | ~ zip_tseitin1(X3, X0, X4)),
4.02/4.21	    inference('cnf', [status(esa)], [zf_stmt_3])).
4.02/4.21	tff('67', plain, (~ $true | sk_X(sk_Xx)),
4.02/4.21	    inference('sup-', [status(thm)], ['53', '66'])).
4.02/4.21	tff('68', plain, sk_X(sk_Xx), inference('simplify', [status(thm)], ['67'])).
4.02/4.21	tff('69', plain, (~ $true | ~ $true),
4.02/4.21	    inference('demod', [status(thm)], ['65', '68'])).
4.02/4.21	tff('70', plain, $false, inference('simplify', [status(thm)], ['69'])).
4.02/4.21	
4.02/4.21	% SZS output end Refutation
4.02/4.22	EOF
