0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
0.00/0.01	% Ordering    : kbo
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n112.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:38:53 CST 2018
0.55/0.77	% done 960 iterations in 0.562s
0.55/0.77	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.55/0.77	% SZS output start Refutation
0.58/0.78	tff(cTHM507_pme, conjecture,
0.58/0.78	  (![Xp:((a * a) > $o),Xp2:((a * b * b) > $o)]:
0.58/0.78	     (((![Xx:a,Xy:a]: (Xp(Xx,Xy) => (Xp2(Xx) = Xp2(Xy)))) & 
0.58/0.78	       (![Xx:a]:
0.58/0.78	          (Xp(Xx,Xx) =>
0.58/0.78	           ((![Xx0:b,Xy:b,Xz:b]:
0.58/0.78	               ((Xp2(Xx,Xy,Xz) & Xp2(Xx,Xx0,Xy)) => Xp2(Xx,Xx0,Xz))) & 
0.58/0.78	            (![Xx0:b,Xy:b]: (Xp2(Xx,Xx0,Xy) => Xp2(Xx,Xy,Xx0)))))) & 
0.58/0.78	       (![Xx:a,Xy:a,Xz:a]: ((Xp(Xy,Xz) & Xp(Xx,Xy)) => Xp(Xx,Xz))) & 
0.58/0.78	       (![Xx:a,Xy:a]: (Xp(Xx,Xy) => Xp(Xy,Xx)))) =>
0.58/0.78	      ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
0.58/0.78	          (((![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xy(Xx0),Xz(Xy0)))) & 
0.58/0.78	            (![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xx(Xx0),Xy(Xy0))))) =>
0.58/0.78	           (![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xx(Xx0),Xz(Xy0)))))) & 
0.58/0.78	       (![Xx:(a > b),Xy:(a > b)]:
0.58/0.78	          ((![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xx(Xx0),Xy(Xy0)))) =>
0.58/0.78	           (![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xy(Xx0),Xx(Xy0)))))))))).
0.58/0.78	tff(zf_stmt_0, negated_conjecture,
0.58/0.78	  (~
0.58/0.78	    (![Xp:((a * a) > $o),Xp2:((a * b * b) > $o)]:
0.58/0.78	       (((![Xx:a,Xy:a]: (Xp(Xx,Xy) => (Xp2(Xx) = Xp2(Xy)))) & 
0.58/0.78	         (![Xx:a]:
0.58/0.78	            (Xp(Xx,Xx) =>
0.58/0.78	             ((![Xx0:b,Xy:b,Xz:b]:
0.58/0.78	                 ((Xp2(Xx,Xy,Xz) & Xp2(Xx,Xx0,Xy)) => Xp2(Xx,Xx0,Xz))) & 
0.58/0.78	              (![Xx0:b,Xy:b]: (Xp2(Xx,Xx0,Xy) => Xp2(Xx,Xy,Xx0)))))) & 
0.58/0.78	         (![Xx:a,Xy:a,Xz:a]: ((Xp(Xy,Xz) & Xp(Xx,Xy)) => Xp(Xx,Xz))) & 
0.58/0.78	         (![Xx:a,Xy:a]: (Xp(Xx,Xy) => Xp(Xy,Xx)))) =>
0.58/0.78	        ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
0.58/0.78	            (((![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xy(Xx0),Xz(Xy0)))) & 
0.58/0.78	              (![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xx(Xx0),Xy(Xy0))))) =>
0.58/0.78	             (![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xx(Xx0),Xz(Xy0)))))) & 
0.58/0.78	         (![Xx:(a > b),Xy:(a > b)]:
0.58/0.78	            ((![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xx(Xx0),Xy(Xy0)))) =>
0.58/0.78	             (![Xx0:a,Xy0:a]: (Xp(Xx0,Xy0) => Xp2(Xx0,Xy(Xx0),Xx(Xy0))))))))))).
0.58/0.78	tff('0', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ sk_Xp(X0, X1)
0.58/0.78	       | sk_Xp2(X0, sk_Xx(X0), sk_Xy(X1))
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('1', plain,
0.58/0.78	    ![X4 : a, X5 : a]:
0.58/0.78	      (~ sk_Xp(X4, X5)
0.58/0.78	       | sk_Xp2(X4, sk_Xy(X4), sk_Xz(X5))
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('2', plain,
0.58/0.78	    ![X6 : a, X7 : b, X8 : b, X9 : b]:
0.58/0.78	      (sk_Xp2(X6, X7, X8)
0.58/0.78	       | ~ sk_Xp2(X6, X9, X8)
0.58/0.78	       | ~ sk_Xp2(X6, X7, X9)
0.58/0.78	       | ~ sk_Xp(X6, X6)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('3', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : b]:
0.58/0.78	      (~ $true
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	       | ~ sk_Xp(X1, X0)
0.58/0.78	       | ~ sk_Xp(X1, X1)
0.58/0.78	       | ~ sk_Xp2(X1, X2, sk_Xy(X1))
0.58/0.78	       | sk_Xp2(X1, X2, sk_Xz(X0))),
0.58/0.78	    inference('sup-', [status(thm)], ['1', '2'])).
0.58/0.78	tff('4', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : b]:
0.58/0.78	      (sk_Xp2(X1, X2, sk_Xz(X0))
0.58/0.78	       | ~ sk_Xp2(X1, X2, sk_Xy(X1))
0.58/0.78	       | ~ sk_Xp(X1, X1)
0.58/0.78	       | ~ sk_Xp(X1, X0)
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['3'])).
0.58/0.78	tff('5', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	       | ~ sk_Xp(X0, X0)
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	       | ~ sk_Xp(X0, X1)
0.58/0.78	       | ~ sk_Xp(X0, X0)
0.58/0.78	       | sk_Xp2(X0, sk_Xx(X0), sk_Xz(X1))),
0.58/0.78	    inference('sup-', [status(thm)], ['0', '4'])).
0.58/0.78	tff('6', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (sk_Xp2(X0, sk_Xx(X0), sk_Xz(X1))
0.58/0.78	       | ~ sk_Xp(X0, X1)
0.58/0.78	       | ~ sk_Xp(X0, X0)
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['5'])).
0.58/0.78	tff('7', plain,
0.58/0.78	    (~ sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xz(sk_Xy0)) | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('8', plain,
0.58/0.78	    (~ $true
0.58/0.78	     | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	     | ~ sk_Xp(sk_Xx0, sk_Xx0)
0.58/0.78	     | ~ sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	     | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('sup-', [status(thm)], ['6', '7'])).
0.58/0.78	tff('9', plain,
0.58/0.78	    (~ sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	     | ~ sk_Xp(sk_Xx0, sk_Xx0)
0.58/0.78	     | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['8'])).
0.58/0.78	tff('10', plain, (sk_Xp(sk_Xx0, sk_Xy0) | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('11', plain, (sk_Xp(sk_Xx01, sk_Xy01) | ~ sk_Xp(sk_Xx0, sk_Xx0)),
0.58/0.78	    inference('clc', [status(thm)], ['9', '10'])).
0.58/0.78	tff('12', plain, ![X17 : a, X18 : a]: (sk_Xp(X17, X18) | ~ sk_Xp(X18, X17)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('13', plain, (~ $true | sk_Xp(sk_Xx01, sk_Xy01) | sk_Xp(sk_Xy0, sk_Xx0)),
0.58/0.78	    inference('sup-', [status(thm)], ['10', '12'])).
0.58/0.78	tff('14', plain, (sk_Xp(sk_Xy0, sk_Xx0) | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['13'])).
0.58/0.78	tff('15', plain,
0.58/0.78	    ![X14 : a, X15 : a, X16 : a]:
0.58/0.78	      (~ sk_Xp(X14, X15) | ~ sk_Xp(X15, X16) | sk_Xp(X14, X16)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('16', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	       | sk_Xp(sk_Xx0, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy0, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['10', '15'])).
0.58/0.78	tff('17', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ sk_Xp(sk_Xy0, X0) | sk_Xp(sk_Xx0, X0) | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['16'])).
0.58/0.78	tff('18', plain,
0.58/0.78	    (~ $true
0.58/0.78	     | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	     | sk_Xp(sk_Xx01, sk_Xy01)
0.58/0.78	     | sk_Xp(sk_Xx0, sk_Xx0)),
0.58/0.78	    inference('sup-', [status(thm)], ['14', '17'])).
0.58/0.78	tff('19', plain, (sk_Xp(sk_Xx0, sk_Xx0) | sk_Xp(sk_Xx01, sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['18'])).
0.58/0.78	tff('20', plain, sk_Xp(sk_Xx01, sk_Xy01),
0.58/0.78	    inference('clc', [status(thm)], ['11', '19'])).
0.58/0.78	tff('21', plain,
0.58/0.78	    ![X12 : a, X13 : a]: (sk_Xp2(X13) = sk_Xp2(X12) | ~ sk_Xp(X13, X12)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('22', plain, (~ $true | sk_Xp2(sk_Xx01) = sk_Xp2(sk_Xy01)),
0.58/0.78	    inference('sup-', [status(thm)], ['20', '21'])).
0.58/0.78	tff('23', plain, sk_Xp2(sk_Xx01) = sk_Xp2(sk_Xy01),
0.58/0.78	    inference('simplify', [status(thm)], ['22'])).
0.58/0.78	tff('24', plain,
0.58/0.78	    ![X1 : b, X2 : b]: sk_Xp2(sk_Xx01, X1, X2) = sk_Xp2(sk_Xy01, X1, X2),
0.58/0.78	    inference('ho_complete_eq', [status(thm)], ['23'])).
0.58/0.78	tff('25', plain,
0.58/0.78	    ![X2 : a, X3 : a, X4 : a, X5 : a]:
0.58/0.78	      (~ sk_Xp(X4, X5)
0.58/0.78	       | sk_Xp2(X4, sk_Xy(X4), sk_Xz(X5))
0.58/0.78	       | sk_Xp2(X2, sk_Xx1(X2), sk_Xy1(X3))
0.58/0.78	       | ~ sk_Xp(X2, X3)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('26', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X0))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp2(X2, sk_Xy(X2), sk_Xz(X1))
0.58/0.78	       | ~ sk_Xp(X2, X1)),
0.58/0.78	    inference('sup+', [status(thm)], ['24', '25'])).
0.58/0.78	tff('27', plain,
0.58/0.78	    ![X2 : a, X3 : a]:
0.58/0.78	      (sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	       | sk_Xp2(X2, sk_Xx1(X2), sk_Xy1(X3))
0.58/0.78	       | ~ sk_Xp(X2, X3)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('28', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X0))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp(sk_Xx0, sk_Xy0)),
0.58/0.78	    inference('sup+', [status(thm)], ['24', '27'])).
0.58/0.78	tff('29', plain,
0.58/0.78	    ![X6 : a, X10 : b, X11 : b]:
0.58/0.78	      (~ sk_Xp2(X6, X10, X11) | sk_Xp2(X6, X11, X10) | ~ sk_Xp(X6, X6)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('30', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xx01, sk_Xx01)
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('sup-', [status(thm)], ['28', '29'])).
0.58/0.78	tff('31', plain, (~ $true | sk_Xp(sk_Xy01, sk_Xx01)),
0.58/0.78	    inference('sup-', [status(thm)], ['20', '12'])).
0.58/0.78	tff('32', plain, sk_Xp(sk_Xy01, sk_Xx01),
0.58/0.78	    inference('simplify', [status(thm)], ['31'])).
0.58/0.78	tff('33', plain,
0.58/0.78	    ![X0 : a]: (~ $true | sk_Xp(sk_Xx01, X0) | ~ sk_Xp(sk_Xy01, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['20', '15'])).
0.58/0.78	tff('34', plain, ![X0 : a]: (~ sk_Xp(sk_Xy01, X0) | sk_Xp(sk_Xx01, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['33'])).
0.58/0.78	tff('35', plain, (~ $true | sk_Xp(sk_Xx01, sk_Xx01)),
0.58/0.78	    inference('sup-', [status(thm)], ['32', '34'])).
0.58/0.78	tff('36', plain, sk_Xp(sk_Xx01, sk_Xx01),
0.58/0.78	    inference('simplify', [status(thm)], ['35'])).
0.58/0.78	tff('37', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('demod', [status(thm)], ['30', '36'])).
0.58/0.78	tff('38', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp(sk_Xx0, sk_Xy0)),
0.58/0.78	    inference('simplify', [status(thm)], ['37'])).
0.58/0.78	tff('39', plain,
0.58/0.78	    (sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	     | ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('40', plain,
0.58/0.78	    (~ $true
0.58/0.78	     | sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	     | ~ sk_Xp(sk_Xy01, sk_Xx01)
0.58/0.78	     | sk_Xp(sk_Xx0, sk_Xy0)),
0.58/0.78	    inference('sup-', [status(thm)], ['38', '39'])).
0.58/0.78	tff('41', plain,
0.58/0.78	    (~ $true | sk_Xp(sk_Xx0, sk_Xy0) | ~ $true | sk_Xp(sk_Xx0, sk_Xy0)),
0.58/0.78	    inference('demod', [status(thm)], ['40', '32'])).
0.58/0.78	tff('42', plain, sk_Xp(sk_Xx0, sk_Xy0),
0.58/0.78	    inference('simplify', [status(thm)], ['41'])).
0.58/0.78	tff('43', plain, (~ $true | sk_Xp2(sk_Xx0) = sk_Xp2(sk_Xy0)),
0.58/0.78	    inference('sup-', [status(thm)], ['42', '21'])).
0.58/0.78	tff('44', plain, sk_Xp2(sk_Xx0) = sk_Xp2(sk_Xy0),
0.58/0.78	    inference('simplify', [status(thm)], ['43'])).
0.58/0.78	tff('45', plain,
0.58/0.78	    ![X1 : b, X2 : b]: sk_Xp2(sk_Xx0, X1, X2) = sk_Xp2(sk_Xy0, X1, X2),
0.58/0.78	    inference('ho_complete_eq', [status(thm)], ['44'])).
0.58/0.78	tff('46', plain,
0.58/0.78	    ![X0 : b, X1 : b]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, X1, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy0, sk_Xy0)
0.58/0.78	       | sk_Xp2(sk_Xy0, X0, X1)),
0.58/0.78	    inference('sup-', [status(thm)], ['45', '29'])).
0.58/0.78	tff('47', plain,
0.58/0.78	    ![X0 : b, X1 : b]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, X1, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy0, sk_Xy0)
0.58/0.78	       | sk_Xp2(sk_Xx0, X0, X1)),
0.58/0.78	    inference('demod', [status(thm)], ['46', '45'])).
0.58/0.78	tff('48', plain, (~ $true | sk_Xp(sk_Xy0, sk_Xx0)),
0.58/0.78	    inference('sup-', [status(thm)], ['42', '12'])).
0.58/0.78	tff('49', plain, sk_Xp(sk_Xy0, sk_Xx0),
0.58/0.78	    inference('simplify', [status(thm)], ['48'])).
0.58/0.78	tff('50', plain,
0.58/0.78	    ![X0 : a]: (~ $true | sk_Xp(sk_Xy0, X0) | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['49', '15'])).
0.58/0.78	tff('51', plain, ![X0 : a]: (~ sk_Xp(sk_Xx0, X0) | sk_Xp(sk_Xy0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['50'])).
0.58/0.78	tff('52', plain,
0.58/0.78	    ![X0 : a]: (~ $true | ~ sk_Xp(sk_Xx0, X0) | sk_Xp(X0, sk_Xy0)),
0.58/0.78	    inference('sup-', [status(thm)], ['51', '12'])).
0.58/0.78	tff('53', plain, ![X0 : a]: (sk_Xp(X0, sk_Xy0) | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['52'])).
0.58/0.78	tff('54', plain, (~ $true | sk_Xp(sk_Xy0, sk_Xy0)),
0.58/0.78	    inference('sup-', [status(thm)], ['42', '53'])).
0.58/0.78	tff('55', plain, sk_Xp(sk_Xy0, sk_Xy0),
0.58/0.78	    inference('simplify', [status(thm)], ['54'])).
0.58/0.78	tff('56', plain,
0.58/0.78	    ![X0 : b, X1 : b]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, X1, X0) | ~ $true | sk_Xp2(sk_Xx0, X0, X1)),
0.58/0.78	    inference('demod', [status(thm)], ['47', '55'])).
0.58/0.78	tff('57', plain,
0.58/0.78	    ![X0 : b, X1 : b]: (sk_Xp2(sk_Xx0, X0, X1) | ~ sk_Xp2(sk_Xx0, X1, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['56'])).
0.58/0.78	tff('58', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X1)
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X1))
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X0), sk_Xy(sk_Xx0))),
0.58/0.78	    inference('sup-', [status(thm)], ['26', '57'])).
0.58/0.78	tff('59', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xz(X0), sk_Xy(sk_Xx0))
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X1))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['58'])).
0.58/0.78	tff('60', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X1), sk_Xy(sk_Xx0))
0.58/0.78	       | ~ sk_Xp(sk_Xx01, sk_Xx01)
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('sup-', [status(thm)], ['59', '29'])).
0.58/0.78	tff('61', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X1), sk_Xy(sk_Xx0))
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('demod', [status(thm)], ['60', '36'])).
0.58/0.78	tff('62', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X1), sk_Xy(sk_Xx0))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X1)),
0.58/0.78	    inference('simplify', [status(thm)], ['61'])).
0.58/0.78	tff('63', plain,
0.58/0.78	    ![X4 : a, X5 : a]:
0.58/0.78	      (~ sk_Xp(X4, X5)
0.58/0.78	       | sk_Xp2(X4, sk_Xy(X4), sk_Xz(X5))
0.58/0.78	       | ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('64', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X2)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, sk_Xx01)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X2), sk_Xy(sk_Xx0))
0.58/0.78	       | sk_Xp2(X1, sk_Xy(X1), sk_Xz(X0))
0.58/0.78	       | ~ sk_Xp(X1, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['62', '63'])).
0.58/0.78	tff('65', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X2)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X2), sk_Xy(sk_Xx0))
0.58/0.78	       | sk_Xp2(X1, sk_Xy(X1), sk_Xz(X0))
0.58/0.78	       | ~ sk_Xp(X1, X0)),
0.58/0.78	    inference('demod', [status(thm)], ['64', '32'])).
0.58/0.78	tff('66', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ sk_Xp(X1, X0)
0.58/0.78	       | sk_Xp2(X1, sk_Xy(X1), sk_Xz(X0))
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xz(X2), sk_Xy(sk_Xx0))
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X2)),
0.58/0.78	    inference('simplify', [status(thm)], ['65'])).
0.58/0.78	tff('67', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | sk_Xp2(X2, sk_Xy(X2), sk_Xz(X1))
0.58/0.78	       | ~ sk_Xp(X2, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, sk_Xx0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(sk_Xx0), sk_Xz(X0))),
0.58/0.78	    inference('sup-', [status(thm)], ['66', '29'])).
0.58/0.78	tff('68', plain,
0.58/0.78	    ![X0 : a]: (~ $true | sk_Xp(sk_Xx0, X0) | ~ sk_Xp(sk_Xy0, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['42', '15'])).
0.58/0.78	tff('69', plain, ![X0 : a]: (~ sk_Xp(sk_Xy0, X0) | sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['68'])).
0.58/0.78	tff('70', plain, (~ $true | sk_Xp(sk_Xx0, sk_Xx0)),
0.58/0.78	    inference('sup-', [status(thm)], ['49', '69'])).
0.58/0.78	tff('71', plain, sk_Xp(sk_Xx0, sk_Xx0),
0.58/0.78	    inference('simplify', [status(thm)], ['70'])).
0.58/0.78	tff('72', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | sk_Xp2(X2, sk_Xy(X2), sk_Xz(X1))
0.58/0.78	       | ~ sk_Xp(X2, X1)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(sk_Xx0), sk_Xz(X0))),
0.58/0.78	    inference('demod', [status(thm)], ['67', '71'])).
0.58/0.78	tff('73', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xy(sk_Xx0), sk_Xz(X0))
0.58/0.78	       | ~ sk_Xp(X2, X1)
0.58/0.78	       | sk_Xp2(X2, sk_Xy(X2), sk_Xz(X1))
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['72'])).
0.58/0.78	tff('74', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(sk_Xx0), sk_Xz(X0))
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('eq_fact', [status(thm)], ['73'])).
0.58/0.78	tff('75', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xy(sk_Xx0), sk_Xz(X0)) | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['74'])).
0.58/0.78	tff('76', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a, X3 : a]:
0.58/0.78	      (~ sk_Xp(X0, X1)
0.58/0.78	       | sk_Xp2(X0, sk_Xx(X0), sk_Xy(X1))
0.58/0.78	       | sk_Xp2(X2, sk_Xx1(X2), sk_Xy1(X3))
0.58/0.78	       | ~ sk_Xp(X2, X3)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('77', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X0))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp2(X2, sk_Xx(X2), sk_Xy(X1))
0.58/0.78	       | ~ sk_Xp(X2, X1)),
0.58/0.78	    inference('sup+', [status(thm)], ['24', '76'])).
0.58/0.78	tff('78', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X1)
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X1))
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X0), sk_Xx(sk_Xx0))),
0.58/0.78	    inference('sup-', [status(thm)], ['77', '57'])).
0.58/0.78	tff('79', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xy(X0), sk_Xx(sk_Xx0))
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X1))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['78'])).
0.58/0.78	tff('80', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X1), sk_Xx(sk_Xx0))
0.58/0.78	       | ~ sk_Xp(sk_Xx01, sk_Xx01)
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('sup-', [status(thm)], ['79', '29'])).
0.58/0.78	tff('81', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X1), sk_Xx(sk_Xx0))
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('demod', [status(thm)], ['80', '36'])).
0.58/0.78	tff('82', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X1), sk_Xx(sk_Xx0))
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X1)),
0.58/0.78	    inference('simplify', [status(thm)], ['81'])).
0.58/0.78	tff('83', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ sk_Xp(X0, X1)
0.58/0.78	       | sk_Xp2(X0, sk_Xx(X0), sk_Xy(X1))
0.58/0.78	       | ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('84', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X2)
0.58/0.78	       | ~ sk_Xp(sk_Xy01, sk_Xx01)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X2), sk_Xx(sk_Xx0))
0.58/0.78	       | sk_Xp2(X1, sk_Xx(X1), sk_Xy(X0))
0.58/0.78	       | ~ sk_Xp(X1, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['82', '83'])).
0.58/0.78	tff('85', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X2)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X2), sk_Xx(sk_Xx0))
0.58/0.78	       | sk_Xp2(X1, sk_Xx(X1), sk_Xy(X0))
0.58/0.78	       | ~ sk_Xp(X1, X0)),
0.58/0.78	    inference('demod', [status(thm)], ['84', '32'])).
0.58/0.78	tff('86', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ sk_Xp(X1, X0)
0.58/0.78	       | sk_Xp2(X1, sk_Xx(X1), sk_Xy(X0))
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xy(X2), sk_Xx(sk_Xx0))
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X2)),
0.58/0.78	    inference('simplify', [status(thm)], ['85'])).
0.58/0.78	tff('87', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | sk_Xp2(X2, sk_Xx(X2), sk_Xy(X1))
0.58/0.78	       | ~ sk_Xp(X2, X1)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, sk_Xx0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xy(X0))),
0.58/0.78	    inference('sup-', [status(thm)], ['86', '29'])).
0.58/0.78	tff('88', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | sk_Xp2(X2, sk_Xx(X2), sk_Xy(X1))
0.58/0.78	       | ~ sk_Xp(X2, X1)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xy(X0))),
0.58/0.78	    inference('demod', [status(thm)], ['87', '71'])).
0.58/0.78	tff('89', plain,
0.58/0.78	    ![X0 : a, X1 : a, X2 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xy(X0))
0.58/0.78	       | ~ sk_Xp(X2, X1)
0.58/0.78	       | sk_Xp2(X2, sk_Xx(X2), sk_Xy(X1))
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['88'])).
0.58/0.78	tff('90', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xy(X0))
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('eq_fact', [status(thm)], ['89'])).
0.58/0.78	tff('91', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xy(X0)) | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['90'])).
0.58/0.78	tff('92', plain,
0.58/0.78	    ![X0 : b, X1 : b, X2 : b]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, X1, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy0, sk_Xy0)
0.58/0.78	       | ~ sk_Xp2(sk_Xy0, X2, X1)
0.58/0.78	       | sk_Xp2(sk_Xy0, X2, X0)),
0.58/0.78	    inference('sup-', [status(thm)], ['45', '2'])).
0.58/0.78	tff('93', plain,
0.58/0.78	    ![X0 : b, X1 : b, X2 : b]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, X1, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xy0, sk_Xy0)
0.58/0.78	       | ~ sk_Xp2(sk_Xx0, X2, X1)
0.58/0.78	       | sk_Xp2(sk_Xx0, X2, X0)),
0.58/0.78	    inference('demod', [status(thm)], ['92', '45', '45'])).
0.58/0.78	tff('94', plain,
0.58/0.78	    ![X0 : b, X1 : b, X2 : b]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, X1, X0)
0.58/0.78	       | ~ $true
0.58/0.78	       | ~ sk_Xp2(sk_Xx0, X2, X1)
0.58/0.78	       | sk_Xp2(sk_Xx0, X2, X0)),
0.58/0.78	    inference('demod', [status(thm)], ['93', '55'])).
0.58/0.78	tff('95', plain,
0.58/0.78	    ![X0 : b, X1 : b, X2 : b]:
0.58/0.78	      (sk_Xp2(sk_Xx0, X2, X0)
0.58/0.78	       | ~ sk_Xp2(sk_Xx0, X2, X1)
0.58/0.78	       | ~ sk_Xp2(sk_Xx0, X1, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['94'])).
0.58/0.78	tff('96', plain,
0.58/0.78	    ![X0 : a, X1 : b]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | ~ sk_Xp2(sk_Xx0, sk_Xy(X0), X1)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), X1)),
0.58/0.78	    inference('sup-', [status(thm)], ['91', '95'])).
0.58/0.78	tff('97', plain,
0.58/0.78	    ![X0 : a, X1 : b]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), X1)
0.58/0.78	       | ~ sk_Xp2(sk_Xx0, sk_Xy(X0), X1)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['96'])).
0.58/0.78	tff('98', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xx0, sk_Xx0)
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xz(X0))),
0.58/0.78	    inference('sup-', [status(thm)], ['75', '97'])).
0.58/0.78	tff('99', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, X0)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xz(X0))),
0.58/0.78	    inference('demod', [status(thm)], ['98', '71'])).
0.58/0.78	tff('100', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xz(X0)) | ~ sk_Xp(sk_Xx0, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['99'])).
0.58/0.78	tff('101', plain,
0.58/0.78	    ![X2 : a, X3 : a]:
0.58/0.78	      (~ sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xz(sk_Xy0))
0.58/0.78	       | sk_Xp2(X2, sk_Xx1(X2), sk_Xy1(X3))
0.58/0.78	       | ~ sk_Xp(X2, X3)),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('102', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	       | ~ sk_Xp(X1, X0)
0.58/0.78	       | sk_Xp2(X1, sk_Xx1(X1), sk_Xy1(X0))),
0.58/0.78	    inference('sup-', [status(thm)], ['100', '101'])).
0.58/0.78	tff('103', plain,
0.58/0.78	    ![X0 : a, X1 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ $true
0.58/0.78	       | ~ sk_Xp(X1, X0)
0.58/0.78	       | sk_Xp2(X1, sk_Xx1(X1), sk_Xy1(X0))),
0.58/0.78	    inference('demod', [status(thm)], ['102', '42'])).
0.58/0.78	tff('104', plain,
0.58/0.78	    ![X0 : a, X1 : a]: (sk_Xp2(X1, sk_Xx1(X1), sk_Xy1(X0)) | ~ sk_Xp(X1, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['103'])).
0.58/0.78	tff('105', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xx1(sk_Xy01), sk_Xy1(X0)) | ~ sk_Xp(sk_Xy01, X0)),
0.58/0.78	    inference('sup+', [status(thm)], ['24', '104'])).
0.58/0.78	tff('106', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | ~ sk_Xp(sk_Xx01, sk_Xx01)
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('sup-', [status(thm)], ['105', '29'])).
0.58/0.78	tff('107', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (~ $true
0.58/0.78	       | ~ sk_Xp(sk_Xy01, X0)
0.58/0.78	       | ~ $true
0.58/0.78	       | sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('demod', [status(thm)], ['106', '36'])).
0.58/0.78	tff('108', plain,
0.58/0.78	    ![X0 : a]:
0.58/0.78	      (sk_Xp2(sk_Xx01, sk_Xy1(X0), sk_Xx1(sk_Xy01)) | ~ sk_Xp(sk_Xy01, X0)),
0.58/0.78	    inference('simplify', [status(thm)], ['107'])).
0.58/0.78	tff('109', plain,
0.58/0.78	    (~ sk_Xp2(sk_Xx0, sk_Xx(sk_Xx0), sk_Xz(sk_Xy0))
0.58/0.78	     | ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.58/0.78	tff('110', plain,
0.58/0.78	    (~ $true
0.58/0.78	     | ~ sk_Xp(sk_Xx0, sk_Xy0)
0.58/0.78	     | ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('sup-', [status(thm)], ['100', '109'])).
0.58/0.78	tff('111', plain,
0.58/0.78	    (~ $true | ~ $true | ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01))),
0.58/0.78	    inference('demod', [status(thm)], ['110', '42'])).
0.58/0.78	tff('112', plain, ~ sk_Xp2(sk_Xx01, sk_Xy1(sk_Xx01), sk_Xx1(sk_Xy01)),
0.58/0.78	    inference('simplify', [status(thm)], ['111'])).
0.58/0.78	tff('113', plain, (~ $true | ~ sk_Xp(sk_Xy01, sk_Xx01)),
0.58/0.78	    inference('sup-', [status(thm)], ['108', '112'])).
0.58/0.78	tff('114', plain, (~ $true | ~ $true),
0.58/0.78	    inference('demod', [status(thm)], ['113', '32'])).
0.58/0.78	tff('115', plain, $false, inference('simplify', [status(thm)], ['114'])).
0.58/0.78	
0.58/0.78	% SZS output end Refutation
0.58/0.78	EOF
