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    : supatvars_int
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-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	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
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   : n095.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
2.54/2.79	% done 5959 iterations in 2.572s
2.54/2.79	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.54/2.79	% SZS output start Refutation
2.54/2.79	tff(cTHM512_pme, conjecture,
2.54/2.79	  (![Xp:(a > $o),Xe:((a * a > b * a > b) > $o)]:
2.54/2.79	     ((![Xx:a]:
2.54/2.79	         (Xp(Xx) =>
2.54/2.79	          ((![Xx0:(a > b),Xy:(a > b),Xz:(a > b)]:
2.54/2.79	              ((Xe(Xx,Xy,Xz) & Xe(Xx,Xx0,Xy)) => Xe(Xx,Xx0,Xz))) & 
2.54/2.79	           (![Xx0:(a > b),Xy:(a > b)]: (Xe(Xx,Xx0,Xy) => Xe(Xx,Xy,Xx0))) & 
2.54/2.79	           (![Xx0:(a > b)]: Xe(Xx,Xx0,Xx0))))) =>
2.54/2.79	      ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
2.54/2.79	          (((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xz))) & 
2.54/2.79	            (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy)))) =>
2.54/2.79	           (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xz))))) & 
2.54/2.79	       (![Xx:(a > b),Xy:(a > b)]:
2.54/2.79	          ((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy))) =>
2.54/2.79	           (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xx))))) & 
2.54/2.79	       (![Xx:(a > b),Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xx))))))).
2.54/2.79	tff(zf_stmt_0, negated_conjecture,
2.54/2.79	  (~
2.54/2.79	    (![Xp:(a > $o),Xe:((a * a > b * a > b) > $o)]:
2.54/2.79	       ((![Xx:a]:
2.54/2.79	           (Xp(Xx) =>
2.54/2.79	            ((![Xx0:(a > b),Xy:(a > b),Xz:(a > b)]:
2.54/2.79	                ((Xe(Xx,Xy,Xz) & Xe(Xx,Xx0,Xy)) => Xe(Xx,Xx0,Xz))) & 
2.54/2.79	             (![Xx0:(a > b),Xy:(a > b)]: (Xe(Xx,Xx0,Xy) => Xe(Xx,Xy,Xx0))) & 
2.54/2.79	             (![Xx0:(a > b)]: Xe(Xx,Xx0,Xx0))))) =>
2.54/2.79	        ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
2.54/2.79	            (((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xz))) & 
2.54/2.79	              (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy)))) =>
2.54/2.79	             (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xz))))) & 
2.54/2.79	         (![Xx:(a > b),Xy:(a > b)]:
2.54/2.79	            ((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy))) =>
2.54/2.79	             (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xx))))) & 
2.54/2.79	         (![Xx:(a > b),Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xx)))))))).
2.54/2.79	tff('0', plain,
2.54/2.79	    (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('1', plain,
2.54/2.79	    ![X9 : a]:
2.54/2.79	      (~ sk_Xp(X9)
2.54/2.79	       | sk_Xe(X9, sk_Xy, sk_Xz)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('2', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('sup-', [status(thm)], ['0', '1'])).
2.54/2.79	tff('3', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['2'])).
2.54/2.79	tff('4', plain,
2.54/2.79	    ![X0 : a, X1 : a > b, X2 : a > b, X3 : a > b]:
2.54/2.79	      (sk_Xe(X0, X1, X2)
2.54/2.79	       | ~ sk_Xe(X0, X3, X2)
2.54/2.79	       | ~ sk_Xe(X0, X1, X3)
2.54/2.79	       | ~ sk_Xp(X0)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('5', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['0', '4'])).
2.54/2.79	tff('6', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['5'])).
2.54/2.79	tff('7', plain,
2.54/2.79	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('8', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xp(sk_Xx01)),
2.54/2.79	    inference('sup-', [status(thm)], ['6', '7'])).
2.54/2.79	tff('9', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['8'])).
2.54/2.79	tff('10', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['3', '9'])).
2.54/2.79	tff('11', plain,
2.54/2.79	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['10'])).
2.54/2.79	tff('12', plain,
2.54/2.79	    ![X7 : a]:
2.54/2.79	      (~ sk_Xp(X7)
2.54/2.79	       | sk_Xe(X7, sk_Xx, sk_Xy)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('13', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['0', '12'])).
2.54/2.79	tff('14', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['13'])).
2.54/2.79	tff('15', plain, (~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2) | sk_Xp(sk_Xx01)),
2.54/2.79	    inference('clc', [status(thm)], ['11', '14'])).
2.54/2.79	tff('16', plain,
2.54/2.79	    ![X8 : a]:
2.54/2.79	      (sk_Xp(sk_Xx0)
2.54/2.79	       | ~ sk_Xp(X8)
2.54/2.79	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('17', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xp(sk_Xx0)),
2.54/2.79	    inference('sup-', [status(thm)], ['15', '16'])).
2.54/2.79	tff('18', plain,
2.54/2.79	    (sk_Xp(sk_Xx0)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['17'])).
2.54/2.79	tff('19', plain,
2.54/2.79	    ![X7 : a, X8 : a]:
2.54/2.79	      (~ sk_Xp(X7)
2.54/2.79	       | sk_Xe(X7, sk_Xx, sk_Xy)
2.54/2.79	       | ~ sk_Xp(X8)
2.54/2.79	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('20', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['18', '19'])).
2.54/2.79	tff('21', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['20'])).
2.54/2.79	tff('22', plain, (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('23', plain,
2.54/2.79	    ![X9 : a]:
2.54/2.79	      (~ sk_Xp(X9)
2.54/2.79	       | sk_Xe(X9, sk_Xy, sk_Xz)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('24', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('sup-', [status(thm)], ['22', '23'])).
2.54/2.79	tff('25', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['24'])).
2.54/2.79	tff('26', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['22', '4'])).
2.54/2.79	tff('27', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['26'])).
2.54/2.79	tff('28', plain,
2.54/2.79	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('29', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xp(sk_Xx01)),
2.54/2.79	    inference('sup-', [status(thm)], ['27', '28'])).
2.54/2.79	tff('30', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['29'])).
2.54/2.79	tff('31', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['25', '30'])).
2.54/2.79	tff('32', plain,
2.54/2.79	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['31'])).
2.54/2.79	tff('33', plain,
2.54/2.79	    ![X7 : a]:
2.54/2.79	      (~ sk_Xp(X7)
2.54/2.79	       | sk_Xe(X7, sk_Xx, sk_Xy)
2.54/2.79	       | sk_Xp(sk_Xx01)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('34', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx01)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['22', '33'])).
2.54/2.79	tff('35', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['34'])).
2.54/2.79	tff('36', plain, (sk_Xp(sk_Xx02) | sk_Xp(sk_Xx01)),
2.54/2.79	    inference('clc', [status(thm)], ['32', '35'])).
2.54/2.79	tff('37', plain,
2.54/2.79	    ![X8 : a]:
2.54/2.79	      (sk_Xp(sk_Xx0)
2.54/2.79	       | ~ sk_Xp(X8)
2.54/2.79	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('38', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xp(sk_Xx0)),
2.54/2.79	    inference('sup-', [status(thm)], ['36', '37'])).
2.54/2.79	tff('39', plain,
2.54/2.79	    (sk_Xp(sk_Xx0) | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['38'])).
2.54/2.79	tff('40', plain,
2.54/2.79	    ![X8 : a, X9 : a]:
2.54/2.79	      (~ sk_Xp(X9)
2.54/2.79	       | sk_Xe(X9, sk_Xy, sk_Xz)
2.54/2.79	       | ~ sk_Xp(X8)
2.54/2.79	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('41', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('sup-', [status(thm)], ['39', '40'])).
2.54/2.79	tff('42', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['41'])).
2.54/2.79	tff('43', plain,
2.54/2.79	    ![X0 : a, X4 : a > b, X5 : a > b]:
2.54/2.79	      (~ sk_Xe(X0, X4, X5) | sk_Xe(X0, X5, X4) | ~ sk_Xp(X0)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('44', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X1)),
2.54/2.79	    inference('sup-', [status(thm)], ['36', '43'])).
2.54/2.79	tff('45', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx01, X0, X1) | sk_Xe(sk_Xx01, X1, X0) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['44'])).
2.54/2.79	tff('46', plain,
2.54/2.79	    (sk_Xp(sk_Xx0) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('47', plain,
2.54/2.79	    ![X9 : a]:
2.54/2.79	      (~ sk_Xp(X9)
2.54/2.79	       | sk_Xe(X9, sk_Xy, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('48', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('sup-', [status(thm)], ['46', '47'])).
2.54/2.79	tff('49', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['48'])).
2.54/2.79	tff('50', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['46', '4'])).
2.54/2.79	tff('51', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['50'])).
2.54/2.79	tff('52', plain,
2.54/2.79	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('53', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.79	    inference('sup-', [status(thm)], ['51', '52'])).
2.54/2.79	tff('54', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['53'])).
2.54/2.79	tff('55', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['49', '54'])).
2.54/2.79	tff('56', plain,
2.54/2.79	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['55'])).
2.54/2.79	tff('57', plain,
2.54/2.79	    ![X7 : a]:
2.54/2.79	      (~ sk_Xp(X7)
2.54/2.79	       | sk_Xe(X7, sk_Xx, sk_Xy)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('58', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['46', '57'])).
2.54/2.79	tff('59', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['58'])).
2.54/2.79	tff('60', plain, (sk_Xp(sk_Xx02) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.79	    inference('clc', [status(thm)], ['56', '59'])).
2.54/2.79	tff('61', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('sup-', [status(thm)], ['45', '60'])).
2.54/2.79	tff('62', plain, (~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['61'])).
2.54/2.79	tff('63', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('clc', [status(thm)], ['42', '62'])).
2.54/2.79	tff('64', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('sup-', [status(thm)], ['36', '63'])).
2.54/2.79	tff('65', plain,
2.54/2.79	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['64'])).
2.54/2.79	tff('66', plain, (sk_Xp(sk_Xx02) | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('clc', [status(thm)], ['65', '62'])).
2.54/2.79	tff('67', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['39', '4'])).
2.54/2.79	tff('68', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['67'])).
2.54/2.79	tff('69', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xp(sk_Xx02)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('clc', [status(thm)], ['68', '62'])).
2.54/2.79	tff('70', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('sup-', [status(thm)], ['66', '69'])).
2.54/2.79	tff('71', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, X0, sk_Xy) | sk_Xe(sk_Xx0, X0, sk_Xz) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['70'])).
2.54/2.79	tff('72', plain,
2.54/2.79	    ![X8 : a]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
2.54/2.79	       | ~ sk_Xp(X8)
2.54/2.79	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('73', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)),
2.54/2.79	    inference('sup-', [status(thm)], ['71', '72'])).
2.54/2.79	tff('74', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['73'])).
2.54/2.79	tff('75', plain,
2.54/2.79	    ![X7 : a, X8 : a]:
2.54/2.79	      (~ sk_Xp(X7)
2.54/2.79	       | sk_Xe(X7, sk_Xx, sk_Xy)
2.54/2.79	       | ~ sk_Xp(X8)
2.54/2.79	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('76', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('sup-', [status(thm)], ['39', '75'])).
2.54/2.79	tff('77', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['76'])).
2.54/2.79	tff('78', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xp(sk_Xx02)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('clc', [status(thm)], ['77', '62'])).
2.54/2.79	tff('79', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('sup-', [status(thm)], ['36', '78'])).
2.54/2.79	tff('80', plain,
2.54/2.79	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['79'])).
2.54/2.79	tff('81', plain, (sk_Xp(sk_Xx02) | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('clc', [status(thm)], ['80', '62'])).
2.54/2.79	tff('82', plain,
2.54/2.79	    ![X0 : a]: (sk_Xp(sk_Xx02) | sk_Xe(X0, sk_Xx1, sk_Xy1) | ~ sk_Xp(X0)),
2.54/2.79	    inference('clc', [status(thm)], ['74', '81'])).
2.54/2.79	tff('83', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | sk_Xp(sk_Xx02)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('sup-', [status(thm)], ['36', '82'])).
2.54/2.79	tff('84', plain, (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
2.54/2.79	    inference('simplify', [status(thm)], ['83'])).
2.54/2.79	tff('85', plain, sk_Xp(sk_Xx02),
2.54/2.79	    inference('clc', [status(thm)], ['84', '62'])).
2.54/2.79	tff('86', plain, ![X0 : a, X6 : a > b]: (sk_Xe(X0, X6, X6) | ~ sk_Xp(X0)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('87', plain, ![X0 : a > b]: (~ $true | sk_Xe(sk_Xx02, X0, X0)),
2.54/2.79	    inference('sup-', [status(thm)], ['85', '86'])).
2.54/2.79	tff('88', plain, ![X0 : a > b]: sk_Xe(sk_Xx02, X0, X0),
2.54/2.79	    inference('simplify', [status(thm)], ['87'])).
2.54/2.79	tff('89', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ $true),
2.54/2.79	    inference('demod', [status(thm)], ['21', '88'])).
2.54/2.79	tff('90', plain,
2.54/2.79	    ![X0 : a]:
2.54/2.79	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xp(X0)
2.54/2.79	       | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('simplify', [status(thm)], ['89'])).
2.54/2.79	tff('91', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.79	    inference('sup-', [status(thm)], ['15', '90'])).
2.54/2.79	tff('92', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ $true
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.79	    inference('demod', [status(thm)], ['91', '88'])).
2.54/2.79	tff('93', plain,
2.54/2.79	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.79	    inference('simplify', [status(thm)], ['92'])).
2.54/2.79	tff('94', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['18', '4'])).
2.54/2.79	tff('95', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['94'])).
2.54/2.79	tff('96', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ $true),
2.54/2.79	    inference('demod', [status(thm)], ['95', '88'])).
2.54/2.79	tff('97', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.79	    inference('simplify', [status(thm)], ['96'])).
2.54/2.79	tff('98', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.79	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.79	    inference('sup-', [status(thm)], ['93', '97'])).
2.54/2.79	tff('99', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.79	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.79	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.79	    inference('simplify', [status(thm)], ['98'])).
2.54/2.79	tff('100', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2) | sk_Xe(sk_Xx01, X0, X0)),
2.54/2.79	    inference('sup-', [status(thm)], ['15', '86'])).
2.54/2.79	tff('101', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx01, X0, X0) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['100'])).
2.54/2.79	tff('102', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X1)),
2.54/2.79	    inference('sup-', [status(thm)], ['15', '43'])).
2.54/2.79	tff('103', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx01, X0, X1)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['102'])).
2.54/2.79	tff('104', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['15', '4'])).
2.54/2.79	tff('105', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx01, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['104'])).
2.54/2.79	tff('106', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx01, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ $true),
2.54/2.79	    inference('demod', [status(thm)], ['105', '88'])).
2.54/2.79	tff('107', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx01, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X2)),
2.54/2.79	    inference('simplify', [status(thm)], ['106'])).
2.54/2.79	tff('108', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X1)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X2)),
2.54/2.79	    inference('sup-', [status(thm)], ['103', '107'])).
2.54/2.79	tff('109', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X1)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X2)),
2.54/2.79	    inference('demod', [status(thm)], ['108', '88'])).
2.54/2.79	tff('110', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx01, X0, X2)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X1)),
2.54/2.79	    inference('simplify', [status(thm)], ['109'])).
2.54/2.79	tff('111', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, X0, X1)
2.54/2.79	       | sk_Xe(sk_Xx01, X1, X0)),
2.54/2.79	    inference('sup-', [status(thm)], ['101', '110'])).
2.54/2.79	tff('112', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ $true | ~ $true | ~ sk_Xe(sk_Xx01, X0, X1) | sk_Xe(sk_Xx01, X1, X0)),
2.54/2.79	    inference('demod', [status(thm)], ['111', '88'])).
2.54/2.79	tff('113', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx01, X1, X0) | ~ sk_Xe(sk_Xx01, X0, X1)),
2.54/2.79	    inference('simplify', [status(thm)], ['112'])).
2.54/2.79	tff('114', plain,
2.54/2.79	    (sk_Xp(sk_Xx0)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('115', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | sk_Xe(sk_Xx0, X0, X0)),
2.54/2.79	    inference('sup-', [status(thm)], ['114', '86'])).
2.54/2.79	tff('116', plain,
2.54/2.79	    ![X0 : a > b]:
2.54/2.79	      (sk_Xe(sk_Xx0, X0, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['115'])).
2.54/2.79	tff('117', plain,
2.54/2.79	    ![X9 : a]:
2.54/2.79	      (~ sk_Xp(X9)
2.54/2.79	       | sk_Xe(X9, sk_Xy, sk_Xz)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.79	tff('118', plain,
2.54/2.79	    (~ $true
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.79	    inference('sup-', [status(thm)], ['114', '117'])).
2.54/2.79	tff('119', plain,
2.54/2.79	    (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.79	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.79	    inference('simplify', [status(thm)], ['118'])).
2.54/2.79	tff('120', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ $true
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx0, X0, X1)),
2.54/2.79	    inference('sup-', [status(thm)], ['114', '43'])).
2.54/2.79	tff('121', plain,
2.54/2.79	    ![X0 : a > b, X1 : a > b]:
2.54/2.79	      (~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.79	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.79	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.79	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['120'])).
2.54/2.80	tff('122', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X2)),
2.54/2.80	    inference('sup-', [status(thm)], ['114', '4'])).
2.54/2.80	tff('123', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X1, X2)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X2)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['122'])).
2.54/2.80	tff('124', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X2, X0)),
2.54/2.80	    inference('sup-', [status(thm)], ['121', '123'])).
2.54/2.80	tff('125', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X2, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['124'])).
2.54/2.80	tff('126', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X2, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['125', '88'])).
2.54/2.80	tff('127', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X2, X0)),
2.54/2.80	    inference('simplify', [status(thm)], ['126'])).
2.54/2.80	tff('128', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('sup-', [status(thm)], ['119', '127'])).
2.54/2.80	tff('129', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('demod', [status(thm)], ['128', '88'])).
2.54/2.80	tff('130', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['129'])).
2.54/2.80	tff('131', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
2.54/2.80	    inference('sup-', [status(thm)], ['116', '130'])).
2.54/2.80	tff('132', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)),
2.54/2.80	    inference('demod', [status(thm)], ['131', '88'])).
2.54/2.80	tff('133', plain,
2.54/2.80	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xy) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['132'])).
2.54/2.80	tff('134', plain,
2.54/2.80	    ![X7 : a]:
2.54/2.80	      (~ sk_Xp(X7)
2.54/2.80	       | sk_Xe(X7, sk_Xx, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.80	tff('135', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.80	    inference('sup-', [status(thm)], ['114', '134'])).
2.54/2.80	tff('136', plain,
2.54/2.80	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['135'])).
2.54/2.80	tff('137', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('sup-', [status(thm)], ['136', '127'])).
2.54/2.80	tff('138', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('demod', [status(thm)], ['137', '88'])).
2.54/2.80	tff('139', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['138'])).
2.54/2.80	tff('140', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xx)),
2.54/2.80	    inference('sup-', [status(thm)], ['133', '139'])).
2.54/2.80	tff('141', plain,
2.54/2.80	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xx) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['140'])).
2.54/2.80	tff('142', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
2.54/2.80	    inference('sup-', [status(thm)], ['141', '121'])).
2.54/2.80	tff('143', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
2.54/2.80	    inference('demod', [status(thm)], ['142', '88'])).
2.54/2.80	tff('144', plain,
2.54/2.80	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xz) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['143'])).
2.54/2.80	tff('145', plain,
2.54/2.80	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.80	tff('146', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('sup-', [status(thm)], ['144', '145'])).
2.54/2.80	tff('147', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('demod', [status(thm)], ['146', '88'])).
2.54/2.80	tff('148', plain, ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1),
2.54/2.80	    inference('simplify', [status(thm)], ['147'])).
2.54/2.80	tff('149', plain, (~ $true | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('sup-', [status(thm)], ['113', '148'])).
2.54/2.80	tff('150', plain, ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1),
2.54/2.80	    inference('simplify', [status(thm)], ['149'])).
2.54/2.80	tff('151', plain,
2.54/2.80	    ![X0 : a > b]: (sk_Xe(sk_Xx0, X0, sk_Xy) | ~ sk_Xe(sk_Xx0, X0, sk_Xx)),
2.54/2.80	    inference('clc', [status(thm)], ['99', '150'])).
2.54/2.80	tff('152', plain,
2.54/2.80	    ![X8 : a, X9 : a]:
2.54/2.80	      (~ sk_Xp(X9)
2.54/2.80	       | sk_Xe(X9, sk_Xy, sk_Xz)
2.54/2.80	       | ~ sk_Xp(X8)
2.54/2.80	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.80	tff('153', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.80	    inference('sup-', [status(thm)], ['18', '152'])).
2.54/2.80	tff('154', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.80	       | ~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['153'])).
2.54/2.80	tff('155', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.80	       | ~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['154', '88'])).
2.54/2.80	tff('156', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.80	    inference('simplify', [status(thm)], ['155'])).
2.54/2.80	tff('157', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.80	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('sup-', [status(thm)], ['15', '156'])).
2.54/2.80	tff('158', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ $true
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)
2.54/2.80	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('demod', [status(thm)], ['157', '88'])).
2.54/2.80	tff('159', plain,
2.54/2.80	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xe(sk_Xx0, sk_Xy, sk_Xz)),
2.54/2.80	    inference('simplify', [status(thm)], ['158'])).
2.54/2.80	tff('160', plain,
2.54/2.80	    ![X8 : a]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
2.54/2.80	       | ~ sk_Xp(X8)
2.54/2.80	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.54/2.80	tff('161', plain,
2.54/2.80	    ![X0 : a, X1 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X1, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xp(X0)),
2.54/2.80	    inference('sup-', [status(thm)], ['6', '160'])).
2.54/2.80	tff('162', plain,
2.54/2.80	    ![X0 : a, X1 : a > b]:
2.54/2.80	      (~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X1, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X1)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['161'])).
2.54/2.80	tff('163', plain,
2.54/2.80	    ![X0 : a, X1 : a > b]:
2.54/2.80	      (~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X1, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X1)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['162', '88'])).
2.54/2.80	tff('164', plain,
2.54/2.80	    ![X0 : a, X1 : a > b]:
2.54/2.80	      (sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X1, sk_Xz)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xp(X0)),
2.54/2.80	    inference('simplify', [status(thm)], ['163'])).
2.54/2.80	tff('165', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('sup-', [status(thm)], ['15', '164'])).
2.54/2.80	tff('166', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ $true
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('demod', [status(thm)], ['165', '88'])).
2.54/2.80	tff('167', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['166'])).
2.54/2.80	tff('168', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)),
2.54/2.80	    inference('sup-', [status(thm)], ['0', '43'])).
2.54/2.80	tff('169', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['168'])).
2.54/2.80	tff('170', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X2, X0)),
2.54/2.80	    inference('sup-', [status(thm)], ['169', '6'])).
2.54/2.80	tff('171', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X2, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['170'])).
2.54/2.80	tff('172', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X2, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | sk_Xp(sk_Xx01)
2.54/2.80	       | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['171', '88'])).
2.54/2.80	tff('173', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b, X2 : a > b]:
2.54/2.80	      (sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X2, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X2, X0)),
2.54/2.80	    inference('simplify', [status(thm)], ['172'])).
2.54/2.80	tff('174', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('sup-', [status(thm)], ['119', '173'])).
2.54/2.80	tff('175', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('demod', [status(thm)], ['174', '88'])).
2.54/2.80	tff('176', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['175'])).
2.54/2.80	tff('177', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)
2.54/2.80	     | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('sup-', [status(thm)], ['116', '176'])).
2.54/2.80	tff('178', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)
2.54/2.80	     | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('demod', [status(thm)], ['177', '88'])).
2.54/2.80	tff('179', plain,
2.54/2.80	    (sk_Xp(sk_Xx01)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xy)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['178'])).
2.54/2.80	tff('180', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('sup-', [status(thm)], ['136', '173'])).
2.54/2.80	tff('181', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('demod', [status(thm)], ['180', '88'])).
2.54/2.80	tff('182', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (sk_Xp(sk_Xx01)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xx)
2.54/2.80	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['181'])).
2.54/2.80	tff('183', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xz, sk_Xx)
2.54/2.80	     | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('sup-', [status(thm)], ['179', '182'])).
2.54/2.80	tff('184', plain,
2.54/2.80	    (sk_Xe(sk_Xx0, sk_Xz, sk_Xx)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['183'])).
2.54/2.80	tff('185', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
2.54/2.80	    inference('sup-', [status(thm)], ['184', '121'])).
2.54/2.80	tff('186', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xe(sk_Xx0, sk_Xx, sk_Xz)),
2.54/2.80	    inference('demod', [status(thm)], ['185', '88'])).
2.54/2.80	tff('187', plain,
2.54/2.80	    (sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['186'])).
2.54/2.80	tff('188', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('sup-', [status(thm)], ['187', '145'])).
2.54/2.80	tff('189', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('demod', [status(thm)], ['188', '88'])).
2.54/2.80	tff('190', plain, (sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
2.54/2.80	    inference('simplify', [status(thm)], ['189'])).
2.54/2.80	tff('191', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	     | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('sup-', [status(thm)], ['103', '190'])).
2.54/2.80	tff('192', plain,
2.54/2.80	    (~ $true | ~ $true | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('demod', [status(thm)], ['191', '88'])).
2.54/2.80	tff('193', plain, (sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['192'])).
2.54/2.80	tff('194', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, X0)
2.54/2.80	       | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('clc', [status(thm)], ['167', '193'])).
2.54/2.80	tff('195', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.80	    inference('sup-', [status(thm)], ['159', '194'])).
2.54/2.80	tff('196', plain,
2.54/2.80	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.80	     | sk_Xp(sk_Xx01)
2.54/2.80	     | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['195'])).
2.54/2.80	tff('197', plain, (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx01)),
2.54/2.80	    inference('clc', [status(thm)], ['196', '93'])).
2.54/2.80	tff('198', plain, sk_Xp(sk_Xx01),
2.54/2.80	    inference('clc', [status(thm)], ['197', '193'])).
2.54/2.80	tff('199', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('sup-', [status(thm)], ['159', '97'])).
2.54/2.80	tff('200', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, sk_Xy)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, sk_Xz)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['199'])).
2.54/2.80	tff('201', plain,
2.54/2.80	    ![X0 : a > b]: (sk_Xe(sk_Xx0, X0, sk_Xz) | ~ sk_Xe(sk_Xx0, X0, sk_Xy)),
2.54/2.80	    inference('clc', [status(thm)], ['200', '150'])).
2.54/2.80	tff('202', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xp(X0)),
2.54/2.80	    inference('sup-', [status(thm)], ['201', '160'])).
2.54/2.80	tff('203', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)
2.54/2.80	       | ~ $true
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xp(X0)),
2.54/2.80	    inference('demod', [status(thm)], ['202', '88'])).
2.54/2.80	tff('204', plain,
2.54/2.80	    ![X0 : a]:
2.54/2.80	      (~ sk_Xp(X0)
2.54/2.80	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.80	    inference('simplify', [status(thm)], ['203'])).
2.54/2.80	tff('205', plain,
2.54/2.80	    (~ $true | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy) | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('sup-', [status(thm)], ['198', '204'])).
2.54/2.80	tff('206', plain,
2.54/2.80	    (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy)),
2.54/2.80	    inference('simplify', [status(thm)], ['205'])).
2.54/2.80	tff('207', plain, ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xy),
2.54/2.80	    inference('clc', [status(thm)], ['206', '150'])).
2.54/2.80	tff('208', plain, (~ $true | ~ sk_Xe(sk_Xx0, sk_Xx, sk_Xx)),
2.54/2.80	    inference('sup-', [status(thm)], ['151', '207'])).
2.54/2.80	tff('209', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, X0)),
2.54/2.80	    inference('sup-', [status(thm)], ['18', '86'])).
2.54/2.80	tff('210', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X0, X0)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['209'])).
2.54/2.80	tff('211', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)),
2.54/2.80	    inference('sup-', [status(thm)], ['18', '43'])).
2.54/2.80	tff('212', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['211'])).
2.54/2.80	tff('213', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['212', '88'])).
2.54/2.80	tff('214', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)),
2.54/2.80	    inference('simplify', [status(thm)], ['213'])).
2.54/2.80	tff('215', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, X0)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('sup-', [status(thm)], ['210', '214'])).
2.54/2.80	tff('216', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | ~ $true
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, X0)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('demod', [status(thm)], ['215', '88'])).
2.54/2.80	tff('217', plain,
2.54/2.80	    ![X0 : a > b]: (sk_Xe(sk_Xx0, X0, X0) | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['216'])).
2.54/2.80	tff('218', plain,
2.54/2.80	    (~ $true
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
2.54/2.80	     | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1)
2.54/2.80	     | sk_Xp(sk_Xx0)),
2.54/2.80	    inference('sup-', [status(thm)], ['85', '16'])).
2.54/2.80	tff('219', plain,
2.54/2.80	    (sk_Xp(sk_Xx0)
2.54/2.80	     | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1)
2.54/2.80	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
2.54/2.80	    inference('simplify', [status(thm)], ['218'])).
2.54/2.80	tff('220', plain, (sk_Xp(sk_Xx0) | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1) | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['219', '88'])).
2.54/2.80	tff('221', plain, (sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx0)),
2.54/2.80	    inference('simplify', [status(thm)], ['220'])).
2.54/2.80	tff('222', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | ~ sk_Xe(sk_Xx0, X0, X1)),
2.54/2.80	    inference('sup-', [status(thm)], ['221', '43'])).
2.54/2.80	tff('223', plain,
2.54/2.80	    ![X0 : a > b, X1 : a > b]:
2.54/2.80	      (~ sk_Xe(sk_Xx0, X0, X1)
2.54/2.80	       | sk_Xe(sk_Xx0, X1, X0)
2.54/2.80	       | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['222'])).
2.54/2.80	tff('224', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (~ $true
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx0, X0, X0)),
2.54/2.80	    inference('sup-', [status(thm)], ['217', '223'])).
2.54/2.80	tff('225', plain,
2.54/2.80	    ![X0 : a > b]:
2.54/2.80	      (sk_Xe(sk_Xx0, X0, X0)
2.54/2.80	       | sk_Xe(sk_Xx02, sk_Xx1, sk_Xy1)
2.54/2.80	       | sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
2.54/2.80	    inference('simplify', [status(thm)], ['224'])).
2.54/2.80	tff('226', plain,
2.54/2.80	    ![X0 : a > b]: (sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xe(sk_Xx0, X0, X0)),
2.54/2.80	    inference('clc', [status(thm)], ['225', '217'])).
2.54/2.80	tff('227', plain, ![X0 : a > b]: sk_Xe(sk_Xx0, X0, X0),
2.54/2.80	    inference('clc', [status(thm)], ['226', '150'])).
2.54/2.80	tff('228', plain, (~ $true | ~ $true),
2.54/2.80	    inference('demod', [status(thm)], ['208', '227'])).
2.54/2.80	tff('229', plain, $false, inference('simplify', [status(thm)], ['228'])).
2.54/2.80	
2.54/2.80	% SZS output end Refutation
2.54/2.80	EOF
