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
0.00/0.21	% Computer   : n100.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 17:36:54 CST 2018
0.37/0.61	% done 1404 iterations in 0.399s
0.37/0.61	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.37/0.61	% SZS output start Refutation
0.42/0.62	tff(cTHM512_pme, conjecture,
0.42/0.62	  (![Xp:(a > $o),Xe:((a * a > b * a > b) > $o)]:
0.42/0.62	     ((![Xx:a]:
0.42/0.62	         (Xp(Xx) =>
0.42/0.62	          ((![Xx0:(a > b),Xy:(a > b),Xz:(a > b)]:
0.42/0.62	              ((Xe(Xx,Xy,Xz) & Xe(Xx,Xx0,Xy)) => Xe(Xx,Xx0,Xz))) & 
0.42/0.62	           (![Xx0:(a > b),Xy:(a > b)]: (Xe(Xx,Xx0,Xy) => Xe(Xx,Xy,Xx0))) & 
0.42/0.62	           (![Xx0:(a > b)]: Xe(Xx,Xx0,Xx0))))) =>
0.42/0.62	      ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
0.42/0.62	          (((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xz))) & 
0.42/0.62	            (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy)))) =>
0.42/0.62	           (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xz))))) & 
0.42/0.62	       (![Xx:(a > b),Xy:(a > b)]:
0.42/0.62	          ((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy))) =>
0.42/0.62	           (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xx))))) & 
0.42/0.62	       (![Xx:(a > b),Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xx))))))).
0.42/0.62	tff(zf_stmt_0, negated_conjecture,
0.42/0.62	  (~
0.42/0.62	    (![Xp:(a > $o),Xe:((a * a > b * a > b) > $o)]:
0.42/0.62	       ((![Xx:a]:
0.42/0.62	           (Xp(Xx) =>
0.42/0.62	            ((![Xx0:(a > b),Xy:(a > b),Xz:(a > b)]:
0.42/0.62	                ((Xe(Xx,Xy,Xz) & Xe(Xx,Xx0,Xy)) => Xe(Xx,Xx0,Xz))) & 
0.42/0.62	             (![Xx0:(a > b),Xy:(a > b)]: (Xe(Xx,Xx0,Xy) => Xe(Xx,Xy,Xx0))) & 
0.42/0.62	             (![Xx0:(a > b)]: Xe(Xx,Xx0,Xx0))))) =>
0.42/0.62	        ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
0.42/0.62	            (((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xz))) & 
0.42/0.62	              (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy)))) =>
0.42/0.62	             (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xz))))) & 
0.42/0.62	         (![Xx:(a > b),Xy:(a > b)]:
0.42/0.62	            ((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy))) =>
0.42/0.62	             (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xx))))) & 
0.42/0.62	         (![Xx:(a > b),Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xx)))))))).
0.42/0.62	tff('0', plain,
0.42/0.62	    (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('1', plain,
0.42/0.62	    ![X9 : a]:
0.42/0.62	      (~ sk_Xp(X9)
0.42/0.62	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('2', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['0', '1'])).
0.42/0.62	tff('3', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['2'])).
0.42/0.62	tff('4', plain,
0.42/0.62	    ![X0 : a, X1 : a > b, X2 : a > b, X3 : a > b]:
0.42/0.62	      (sk_Xe(X0, X1, X2)
0.42/0.62	       | ~ sk_Xe(X0, X3, X2)
0.42/0.62	       | ~ sk_Xe(X0, X1, X3)
0.42/0.62	       | ~ sk_Xp(X0)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('5', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['3', '4'])).
0.42/0.62	tff('6', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xz)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['5'])).
0.42/0.62	tff('7', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xz)),
0.42/0.62	    inference('clc', [status(thm)], ['6', '0'])).
0.42/0.62	tff('8', plain,
0.42/0.62	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('9', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xp(sk_Xx01)),
0.42/0.62	    inference('sup-', [status(thm)], ['7', '8'])).
0.42/0.62	tff('10', plain,
0.42/0.62	    (~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('simplify', [status(thm)], ['9'])).
0.42/0.62	tff('11', plain,
0.42/0.62	    ![X7 : a]:
0.42/0.62	      (~ sk_Xp(X7)
0.42/0.62	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('12', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['0', '11'])).
0.42/0.62	tff('13', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['12'])).
0.42/0.62	tff('14', plain, (sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('clc', [status(thm)], ['10', '13'])).
0.42/0.62	tff('15', plain,
0.42/0.62	    ![X8 : a]:
0.42/0.62	      (sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('16', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx0)),
0.42/0.62	    inference('sup-', [status(thm)], ['14', '15'])).
0.42/0.62	tff('17', plain,
0.42/0.62	    (sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['16'])).
0.42/0.62	tff('18', plain,
0.42/0.62	    ![X8 : a, X9 : a]:
0.42/0.62	      (~ sk_Xp(X9)
0.42/0.62	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('19', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['17', '18'])).
0.42/0.62	tff('20', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['19'])).
0.42/0.62	tff('21', plain, (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('22', plain,
0.42/0.62	    ![X9 : a]:
0.42/0.62	      (~ sk_Xp(X9)
0.42/0.62	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('23', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['21', '22'])).
0.42/0.62	tff('24', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['23'])).
0.42/0.62	tff('25', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['24', '4'])).
0.42/0.62	tff('26', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xz)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['25'])).
0.42/0.62	tff('27', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xz)),
0.42/0.62	    inference('clc', [status(thm)], ['26', '21'])).
0.42/0.62	tff('28', plain,
0.42/0.62	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('29', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx01)),
0.42/0.62	    inference('sup-', [status(thm)], ['27', '28'])).
0.42/0.62	tff('30', plain,
0.42/0.62	    (sk_Xp(sk_Xx02) | sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('simplify', [status(thm)], ['29'])).
0.42/0.62	tff('31', plain,
0.42/0.62	    ![X7 : a]:
0.42/0.62	      (~ sk_Xp(X7)
0.42/0.62	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.42/0.62	       | sk_Xp(sk_Xx01)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('32', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['21', '31'])).
0.42/0.62	tff('33', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['32'])).
0.42/0.62	tff('34', plain, (sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('clc', [status(thm)], ['30', '33'])).
0.42/0.62	tff('35', plain,
0.42/0.62	    ![X8 : a]:
0.42/0.62	      (sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('36', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx0)),
0.42/0.62	    inference('sup-', [status(thm)], ['34', '35'])).
0.42/0.62	tff('37', plain,
0.42/0.62	    (sk_Xp(sk_Xx0) | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['36'])).
0.42/0.62	tff('38', plain,
0.42/0.62	    ![X8 : a, X9 : a]:
0.42/0.62	      (~ sk_Xp(X9)
0.42/0.62	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('39', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['37', '38'])).
0.42/0.62	tff('40', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['39'])).
0.42/0.62	tff('41', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['34', '40'])).
0.42/0.62	tff('42', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['41'])).
0.42/0.62	tff('43', plain,
0.42/0.62	    ![X0 : a, X4 : a > b, X5 : a > b]:
0.42/0.62	      (~ sk_Xe(X0, X4, X5) | sk_Xe(X0, X5, X4) | ~ sk_Xp(X0)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('44', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['42', '43'])).
0.42/0.62	tff('45', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xy)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['44'])).
0.42/0.62	tff('46', plain,
0.42/0.62	    (sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
0.42/0.62	    inference('clc', [status(thm)], ['45', '37'])).
0.42/0.62	tff('47', plain,
0.42/0.62	    ![X7 : a, X8 : a]:
0.42/0.62	      (~ sk_Xp(X7)
0.42/0.62	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('48', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['37', '47'])).
0.42/0.62	tff('49', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['48'])).
0.42/0.62	tff('50', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['34', '49'])).
0.42/0.62	tff('51', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['50'])).
0.42/0.62	tff('52', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['51', '43'])).
0.42/0.62	tff('53', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xx)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['52'])).
0.42/0.62	tff('54', plain,
0.42/0.62	    (sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xx)),
0.42/0.62	    inference('clc', [status(thm)], ['53', '37'])).
0.42/0.62	tff('55', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['54', '4'])).
0.42/0.62	tff('56', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['55'])).
0.42/0.62	tff('57', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xx)),
0.42/0.62	    inference('clc', [status(thm)], ['56', '37'])).
0.42/0.62	tff('58', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xx)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('sup-', [status(thm)], ['46', '57'])).
0.42/0.62	tff('59', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xx)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['58'])).
0.42/0.62	tff('60', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['59', '43'])).
0.42/0.62	tff('61', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['60'])).
0.42/0.62	tff('62', plain,
0.42/0.62	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
0.42/0.62	    inference('clc', [status(thm)], ['61', '37'])).
0.42/0.62	tff('63', plain,
0.42/0.62	    ![X8 : a]:
0.42/0.62	      (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('64', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)),
0.42/0.62	    inference('sup-', [status(thm)], ['62', '63'])).
0.42/0.62	tff('65', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['64'])).
0.42/0.62	tff('66', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('sup-', [status(thm)], ['34', '65'])).
0.42/0.62	tff('67', plain, (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['66'])).
0.42/0.62	tff('68', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xp(sk_Xx01)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('sup-', [status(thm)], ['67', '43'])).
0.42/0.62	tff('69', plain,
0.42/0.62	    (sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | ~ sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['68'])).
0.42/0.62	tff('70', plain,
0.42/0.62	    (sk_Xp(sk_Xx0) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('71', plain,
0.42/0.62	    ![X9 : a]:
0.42/0.62	      (~ sk_Xp(X9)
0.42/0.62	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('72', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['70', '71'])).
0.42/0.62	tff('73', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['72'])).
0.42/0.62	tff('74', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xp(sk_Xx02)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['73', '4'])).
0.42/0.62	tff('75', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xz)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['74'])).
0.42/0.62	tff('76', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xp(sk_Xx02)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xz)),
0.42/0.62	    inference('clc', [status(thm)], ['75', '70'])).
0.42/0.62	tff('77', plain,
0.42/0.62	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('78', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('sup-', [status(thm)], ['76', '77'])).
0.42/0.62	tff('79', plain,
0.42/0.62	    (sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('simplify', [status(thm)], ['78'])).
0.42/0.62	tff('80', plain,
0.42/0.62	    ![X7 : a]:
0.42/0.62	      (~ sk_Xp(X7)
0.42/0.62	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('81', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xp(sk_Xx02)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['70', '80'])).
0.42/0.62	tff('82', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('simplify', [status(thm)], ['81'])).
0.42/0.62	tff('83', plain, (~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | sk_Xp(sk_Xx02)),
0.42/0.62	    inference('clc', [status(thm)], ['79', '82'])).
0.42/0.62	tff('84', plain, (sk_Xp(sk_Xx02) | ~ sk_Xp(sk_Xx01)),
0.42/0.62	    inference('clc', [status(thm)], ['69', '83'])).
0.42/0.62	tff('85', plain, sk_Xp(sk_Xx02),
0.42/0.62	    inference('clc', [status(thm)], ['84', '34'])).
0.42/0.62	tff('86', plain, ![X0 : a, X6 : a > b]: (sk_Xe(X0, X6, X6) | ~ sk_Xp(X0)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('87', plain, ![X0 : a > b]: (~ $true | sk_Xe(sk_Xx02, X0, X0)),
0.42/0.62	    inference('sup-', [status(thm)], ['85', '86'])).
0.42/0.62	tff('88', plain, ![X0 : a > b]: sk_Xe(sk_Xx02, X0, X0),
0.42/0.62	    inference('simplify', [status(thm)], ['87'])).
0.42/0.62	tff('89', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ $true),
0.42/0.62	    inference('demod', [status(thm)], ['20', '88'])).
0.42/0.62	tff('90', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('simplify', [status(thm)], ['89'])).
0.42/0.62	tff('91', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('sup-', [status(thm)], ['14', '90'])).
0.42/0.62	tff('92', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ $true
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('demod', [status(thm)], ['91', '88'])).
0.42/0.62	tff('93', plain,
0.42/0.62	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('simplify', [status(thm)], ['92'])).
0.42/0.62	tff('94', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['93', '43'])).
0.42/0.62	tff('95', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xy)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['94'])).
0.42/0.62	tff('96', plain,
0.42/0.62	    ![X7 : a, X8 : a]:
0.42/0.62	      (~ sk_Xp(X7)
0.42/0.62	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('97', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['17', '96'])).
0.42/0.62	tff('98', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['97'])).
0.42/0.62	tff('99', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ $true),
0.42/0.62	    inference('demod', [status(thm)], ['98', '88'])).
0.42/0.62	tff('100', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('simplify', [status(thm)], ['99'])).
0.42/0.62	tff('101', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('sup-', [status(thm)], ['14', '100'])).
0.42/0.62	tff('102', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ $true
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('demod', [status(thm)], ['101', '88'])).
0.42/0.62	tff('103', plain,
0.42/0.62	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('simplify', [status(thm)], ['102'])).
0.42/0.62	tff('104', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['103', '43'])).
0.42/0.62	tff('105', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xx)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['104'])).
0.42/0.62	tff('106', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['105', '4'])).
0.42/0.62	tff('107', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['106'])).
0.42/0.62	tff('108', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['95', '107'])).
0.42/0.62	tff('109', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xx)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['108'])).
0.42/0.62	tff('110', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['109', '43'])).
0.42/0.62	tff('111', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['110'])).
0.42/0.62	tff('112', plain,
0.42/0.62	    ![X8 : a]:
0.42/0.62	      (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	       | ~ sk_Xp(X8)
0.42/0.62	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('113', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)),
0.42/0.62	    inference('sup-', [status(thm)], ['111', '112'])).
0.42/0.62	tff('114', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ $true
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ $true
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(X0)),
0.42/0.62	    inference('demod', [status(thm)], ['113', '88'])).
0.42/0.62	tff('115', plain,
0.42/0.62	    ![X0 : a]:
0.42/0.62	      (~ sk_Xp(X0)
0.42/0.62	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['114'])).
0.42/0.62	tff('116', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('sup-', [status(thm)], ['14', '115'])).
0.42/0.62	tff('117', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('demod', [status(thm)], ['116', '88'])).
0.42/0.62	tff('118', plain, (~ sk_Xp(sk_Xx0) | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('simplify', [status(thm)], ['117'])).
0.42/0.62	tff('119', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('sup-', [status(thm)], ['17', '118'])).
0.42/0.62	tff('120', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ $true
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.42/0.62	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.42/0.62	    inference('demod', [status(thm)], ['119', '88'])).
0.42/0.62	tff('121', plain, sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1),
0.42/0.62	    inference('simplify', [status(thm)], ['120'])).
0.42/0.62	tff('122', plain,
0.42/0.62	    (~ $true | ~ sk_Xp(sk_Xx01) | sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('sup-', [status(thm)], ['121', '43'])).
0.42/0.62	tff('123', plain, (sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | ~ sk_Xp(sk_Xx01)),
0.42/0.62	    inference('simplify', [status(thm)], ['122'])).
0.42/0.62	tff('124', plain,
0.42/0.62	    (sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('125', plain,
0.42/0.62	    ![X9 : a]:
0.42/0.62	      (~ sk_Xp(X9)
0.42/0.62	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('126', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['124', '125'])).
0.42/0.62	tff('127', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['126'])).
0.42/0.62	tff('128', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['127', '43'])).
0.42/0.62	tff('129', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xy)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['128'])).
0.42/0.62	tff('130', plain,
0.42/0.62	    (~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
0.42/0.62	    inference('clc', [status(thm)], ['129', '124'])).
0.42/0.62	tff('131', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, X0)),
0.42/0.62	    inference('sup-', [status(thm)], ['124', '86'])).
0.42/0.62	tff('132', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, X0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['131'])).
0.42/0.62	tff('133', plain,
0.42/0.62	    ![X7 : a]:
0.42/0.62	      (~ sk_Xp(X7)
0.42/0.62	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('134', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['124', '133'])).
0.42/0.62	tff('135', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['134'])).
0.42/0.62	tff('136', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xy)),
0.42/0.62	    inference('sup-', [status(thm)], ['135', '4'])).
0.42/0.62	tff('137', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('simplify', [status(thm)], ['136'])).
0.42/0.62	tff('138', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ $true),
0.42/0.62	    inference('demod', [status(thm)], ['137', '88'])).
0.42/0.62	tff('139', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xy)),
0.42/0.62	    inference('simplify', [status(thm)], ['138'])).
0.42/0.62	tff('140', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | sk_Xe(sk_Xx0, sk_Xy, X0)),
0.42/0.62	    inference('sup-', [status(thm)], ['139', '43'])).
0.42/0.62	tff('141', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, sk_Xy, X0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)),
0.42/0.62	    inference('simplify', [status(thm)], ['140'])).
0.42/0.62	tff('142', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['132', '141'])).
0.42/0.62	tff('143', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xx)),
0.42/0.62	    inference('demod', [status(thm)], ['142', '88'])).
0.42/0.62	tff('144', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xx)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('simplify', [status(thm)], ['143'])).
0.42/0.62	tff('145', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (~ $true
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | sk_Xe(sk_Xx0, X0, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['144', '4'])).
0.42/0.62	tff('146', plain,
0.42/0.62	    ![X0 : a > b]:
0.42/0.62	      (sk_Xe(sk_Xx0, X0, sk_Xx)
0.42/0.62	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
0.42/0.62	       | ~ sk_Xp(sk_Xx0)
0.42/0.62	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('simplify', [status(thm)], ['145'])).
0.42/0.62	tff('147', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xx)),
0.42/0.62	    inference('sup-', [status(thm)], ['130', '146'])).
0.42/0.62	tff('148', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xx)),
0.42/0.62	    inference('demod', [status(thm)], ['147', '88'])).
0.42/0.62	tff('149', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xx)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('simplify', [status(thm)], ['148'])).
0.42/0.62	tff('150', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
0.42/0.62	    inference('sup-', [status(thm)], ['149', '43'])).
0.42/0.62	tff('151', plain,
0.42/0.62	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('simplify', [status(thm)], ['150'])).
0.42/0.62	tff('152', plain,
0.42/0.62	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.62	tff('153', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('sup-', [status(thm)], ['151', '152'])).
0.42/0.62	tff('154', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xp(sk_Xx0)
0.42/0.62	     | ~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('demod', [status(thm)], ['153', '88'])).
0.42/0.62	tff('155', plain, (~ sk_Xp(sk_Xx0) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('simplify', [status(thm)], ['154'])).
0.42/0.62	tff('156', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('sup-', [status(thm)], ['124', '155'])).
0.42/0.62	tff('157', plain,
0.42/0.62	    (~ $true
0.42/0.62	     | ~ $true
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.42/0.62	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.42/0.62	    inference('demod', [status(thm)], ['156', '88'])).
0.42/0.62	tff('158', plain, ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1),
0.42/0.62	    inference('simplify', [status(thm)], ['157'])).
0.42/0.62	tff('159', plain, ~ sk_Xp(sk_Xx01),
0.42/0.62	    inference('clc', [status(thm)], ['123', '158'])).
0.42/0.62	tff('160', plain, (~ $true | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.42/0.62	    inference('sup-', [status(thm)], ['14', '159'])).
0.42/0.62	tff('161', plain, (~ $true | ~ $true),
0.42/0.62	    inference('demod', [status(thm)], ['160', '88'])).
0.42/0.62	tff('162', plain, $false, inference('simplify', [status(thm)], ['161'])).
0.42/0.62	
0.42/0.62	% SZS output end Refutation
0.42/0.62	EOF
