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_ext
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	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
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   : n177.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 17:33:08 CST 2018
23.82/24.08	% done 35532 iterations in 23.866s
23.82/24.08	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
23.82/24.08	% SZS output start Refutation
23.82/24.08	tff(cTHM559_pme, conjecture,
23.82/24.08	  ((![Xx:a]:
23.82/24.08	      (?[Xp:(a > $o)]:
23.82/24.08	         (Xp(Xx) & 
23.82/24.08	          (![Xx0:a]: (Xp(Xx0) => (![Xy:a]: (Xp(Xy) <=> cQ(Xx0,Xy))))) & 
23.82/24.08	          (?[Xz:a]: Xp(Xz))))) =>
23.82/24.08	   ((![Xx:a,Xy:a,Xz:a]: ((cQ(Xy,Xz) & cQ(Xx,Xy)) => cQ(Xx,Xz))) & 
23.82/24.08	    (![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & (![Xx:a]: cQ(Xx,Xx))))).
23.82/24.08	tff(zf_stmt_0, negated_conjecture,
23.82/24.08	  (~
23.82/24.08	    ((![Xx:a]:
23.82/24.08	        (?[Xp:(a > $o)]:
23.82/24.08	           (Xp(Xx) & 
23.82/24.08	            (![Xx0:a]: (Xp(Xx0) => (![Xy:a]: (Xp(Xy) <=> cQ(Xx0,Xy))))) & 
23.82/24.08	            (?[Xz:a]: Xp(Xz))))) =>
23.82/24.08	     ((![Xx:a,Xy:a,Xz:a]: ((cQ(Xy,Xz) & cQ(Xx,Xy)) => cQ(Xx,Xz))) & 
23.82/24.08	      (![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & (![Xx:a]: cQ(Xx,Xx)))))).
23.82/24.08	tff('0', plain, ![X0 : a]: sk_Xp(X0, X0),
23.82/24.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.08	tff('1', plain, ![X0 : a]: sk_Xp(X0, sk_Xz1(X0)),
23.82/24.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.08	tff('2', plain,
23.82/24.08	    ![X0 : a, X1 : a, X3 : a]:
23.82/24.08	      (~ sk_Xp(X0, X3) | cQ(X1, X3) | ~ sk_Xp(X0, X1)),
23.82/24.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.08	tff('3', plain, ![X0 : a, X1 : a]: (~ $true | ~ sk_Xp(X0, X1) | cQ(X1, X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['0', '2'])).
23.82/24.08	tff('4', plain, ![X0 : a, X1 : a]: (cQ(X1, X0) | ~ sk_Xp(X0, X1)),
23.82/24.08	    inference('simplify', [status(thm)], ['3'])).
23.82/24.08	tff('5', plain, ![X0 : a]: (~ $true | cQ(sk_Xz1(X0), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['1', '4'])).
23.82/24.08	tff('6', plain, ![X0 : a]: cQ(sk_Xz1(X0), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['5'])).
23.82/24.08	tff('7', plain,
23.82/24.08	    ![X0 : a, X1 : a, X2 : a]:
23.82/24.08	      (~ cQ(X1, X2) | sk_Xp(X0, X2) | ~ sk_Xp(X0, X1)),
23.82/24.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.08	tff('8', plain,
23.82/24.08	    ![X0 : a, X1 : a]: (~ $true | ~ sk_Xp(X1, sk_Xz1(X0)) | sk_Xp(X1, X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['6', '7'])).
23.82/24.08	tff('9', plain, ![X0 : a, X1 : a]: (sk_Xp(X1, X0) | ~ sk_Xp(X1, sk_Xz1(X0))),
23.82/24.08	    inference('simplify', [status(thm)], ['8'])).
23.82/24.08	tff('10', plain, ![X0 : a]: (~ $true | sk_Xp(sk_Xz1(X0), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['0', '9'])).
23.82/24.08	tff('11', plain, ![X0 : a]: sk_Xp(sk_Xz1(X0), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['10'])).
23.82/24.08	tff('12', plain, ![X0 : a]: (~ $true | sk_Xp(sk_Xz1(sk_Xz1(X0)), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['11', '9'])).
23.82/24.08	tff('13', plain, ![X0 : a]: sk_Xp(sk_Xz1(sk_Xz1(X0)), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['12'])).
23.82/24.08	tff('14', plain,
23.82/24.08	    ![X0 : a]: (~ $true | sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(X0))), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['13', '9'])).
23.82/24.08	tff('15', plain, ![X0 : a]: sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(X0))), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['14'])).
23.82/24.08	tff('16', plain,
23.82/24.08	    ![X0 : a]: (~ $true | sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['15', '9'])).
23.82/24.08	tff('17', plain, ![X0 : a]: sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['16'])).
23.82/24.08	tff('18', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true | sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['17', '9'])).
23.82/24.08	tff('19', plain,
23.82/24.08	    ![X0 : a]: sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['18'])).
23.82/24.08	tff('20', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))), X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['19', '9'])).
23.82/24.08	tff('21', plain,
23.82/24.08	    ![X0 : a]: sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['20'])).
23.82/24.08	tff('22', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['21', '9'])).
23.82/24.08	tff('23', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))), X0),
23.82/24.08	    inference('simplify', [status(thm)], ['22'])).
23.82/24.08	tff('24', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['23', '9'])).
23.82/24.08	tff('25', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['24'])).
23.82/24.08	tff('26', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['25', '9'])).
23.82/24.08	tff('27', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['26'])).
23.82/24.08	tff('28', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['27', '9'])).
23.82/24.08	tff('29', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['28'])).
23.82/24.08	tff('30', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['29', '9'])).
23.82/24.08	tff('31', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['30'])).
23.82/24.08	tff('32', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['31', '9'])).
23.82/24.08	tff('33', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['32'])).
23.82/24.08	tff('34', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['33', '9'])).
23.82/24.08	tff('35', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['34'])).
23.82/24.08	tff('36', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['35', '9'])).
23.82/24.08	tff('37', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['36'])).
23.82/24.08	tff('38', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['37', '9'])).
23.82/24.08	tff('39', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(
23.82/24.08	                          sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['38'])).
23.82/24.08	tff('40', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['39', '9'])).
23.82/24.08	tff('41', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(
23.82/24.08	                          sk_Xz1(
23.82/24.08	                            sk_Xz1(
23.82/24.08	                              sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['40'])).
23.82/24.08	tff('42', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(
23.82/24.08	                                   sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['41', '9'])).
23.82/24.08	tff('43', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(
23.82/24.08	                          sk_Xz1(
23.82/24.08	                            sk_Xz1(
23.82/24.08	                              sk_Xz1(
23.82/24.08	                                sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['42'])).
23.82/24.08	tff('44', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(
23.82/24.08	                                   sk_Xz1(
23.82/24.08	                                     sk_Xz1(
23.82/24.08	                                       sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['43', '9'])).
23.82/24.08	tff('45', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(
23.82/24.08	                          sk_Xz1(
23.82/24.08	                            sk_Xz1(
23.82/24.08	                              sk_Xz1(
23.82/24.08	                                sk_Xz1(
23.82/24.08	                                  sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['44'])).
23.82/24.08	tff('46', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(
23.82/24.08	                                   sk_Xz1(
23.82/24.08	                                     sk_Xz1(
23.82/24.08	                                       sk_Xz1(
23.82/24.08	                                         sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['45', '9'])).
23.82/24.08	tff('47', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(
23.82/24.08	                          sk_Xz1(
23.82/24.08	                            sk_Xz1(
23.82/24.08	                              sk_Xz1(
23.82/24.08	                                sk_Xz1(
23.82/24.08	                                  sk_Xz1(
23.82/24.08	                                    sk_Xz1(
23.82/24.08	                                      sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['46'])).
23.82/24.08	tff('48', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | sk_Xp(
23.82/24.08	           sk_Xz1(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(
23.82/24.08	                                   sk_Xz1(
23.82/24.08	                                     sk_Xz1(
23.82/24.08	                                       sk_Xz1(
23.82/24.08	                                         sk_Xz1(
23.82/24.08	                                           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.08	           X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['47', '9'])).
23.82/24.08	tff('49', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      sk_Xp(
23.82/24.08	        sk_Xz1(
23.82/24.08	          sk_Xz1(
23.82/24.08	            sk_Xz1(
23.82/24.08	              sk_Xz1(
23.82/24.08	                sk_Xz1(
23.82/24.08	                  sk_Xz1(
23.82/24.08	                    sk_Xz1(
23.82/24.08	                      sk_Xz1(
23.82/24.08	                        sk_Xz1(
23.82/24.08	                          sk_Xz1(
23.82/24.08	                            sk_Xz1(
23.82/24.08	                              sk_Xz1(
23.82/24.08	                                sk_Xz1(
23.82/24.08	                                  sk_Xz1(
23.82/24.08	                                    sk_Xz1(
23.82/24.08	                                      sk_Xz1(
23.82/24.08	                                        sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.08	        X0),
23.82/24.08	    inference('simplify', [status(thm)], ['48'])).
23.82/24.08	tff('50', plain,
23.82/24.08	    (cQ(sk_Xx, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
23.82/24.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.08	tff('51', plain, ![X0 : a]: (~ $true | cQ(X0, X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['0', '4'])).
23.82/24.08	tff('52', plain, ![X0 : a]: cQ(X0, X0),
23.82/24.08	    inference('simplify', [status(thm)], ['51'])).
23.82/24.08	tff('53', plain, (cQ(sk_Xx, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1) | ~ $true),
23.82/24.08	    inference('demod', [status(thm)], ['50', '52'])).
23.82/24.08	tff('54', plain, (~ cQ(sk_Xy1, sk_Xx1) | cQ(sk_Xx, sk_Xy)),
23.82/24.08	    inference('simplify', [status(thm)], ['53'])).
23.82/24.08	tff('55', plain,
23.82/24.08	    ![X0 : a]:
23.82/24.08	      (~ $true | ~ cQ(sk_Xy1, sk_Xx1) | ~ sk_Xp(X0, sk_Xx) | sk_Xp(X0, sk_Xy)),
23.82/24.08	    inference('sup-', [status(thm)], ['54', '7'])).
23.82/24.08	tff('56', plain,
23.82/24.08	    ![X0 : a]: (sk_Xp(X0, sk_Xy) | ~ sk_Xp(X0, sk_Xx) | ~ cQ(sk_Xy1, sk_Xx1)),
23.82/24.08	    inference('simplify', [status(thm)], ['55'])).
23.82/24.08	tff('57', plain,
23.82/24.08	    ![X0 : a, X1 : a]:
23.82/24.08	      (~ $true
23.82/24.08	       | ~ sk_Xp(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(
23.82/24.08	                                   sk_Xz1(
23.82/24.08	                                     sk_Xz1(
23.82/24.08	                                       sk_Xz1(
23.82/24.08	                                         sk_Xz1(
23.82/24.08	                                           sk_Xz1(
23.82/24.08	                                             sk_Xz1(
23.82/24.08	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.08	             X1)
23.82/24.08	       | cQ(X1, X0)),
23.82/24.08	    inference('sup-', [status(thm)], ['49', '2'])).
23.82/24.08	tff('58', plain,
23.82/24.08	    ![X0 : a, X1 : a]:
23.82/24.08	      (cQ(X1, X0)
23.82/24.08	       | ~ sk_Xp(
23.82/24.08	             sk_Xz1(
23.82/24.08	               sk_Xz1(
23.82/24.08	                 sk_Xz1(
23.82/24.08	                   sk_Xz1(
23.82/24.08	                     sk_Xz1(
23.82/24.08	                       sk_Xz1(
23.82/24.08	                         sk_Xz1(
23.82/24.08	                           sk_Xz1(
23.82/24.08	                             sk_Xz1(
23.82/24.08	                               sk_Xz1(
23.82/24.08	                                 sk_Xz1(
23.82/24.08	                                   sk_Xz1(
23.82/24.08	                                     sk_Xz1(
23.82/24.08	                                       sk_Xz1(
23.82/24.09	                                         sk_Xz1(
23.82/24.09	                                           sk_Xz1(
23.82/24.09	                                             sk_Xz1(
23.82/24.09	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.09	             X1)),
23.82/24.09	    inference('simplify', [status(thm)], ['57'])).
23.82/24.09	tff('59', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ $true
23.82/24.09	       | ~ cQ(sk_Xy1, sk_Xx1)
23.82/24.09	       | ~ sk_Xp(
23.82/24.09	             sk_Xz1(
23.82/24.09	               sk_Xz1(
23.82/24.09	                 sk_Xz1(
23.82/24.09	                   sk_Xz1(
23.82/24.09	                     sk_Xz1(
23.82/24.09	                       sk_Xz1(
23.82/24.09	                         sk_Xz1(
23.82/24.09	                           sk_Xz1(
23.82/24.09	                             sk_Xz1(
23.82/24.09	                               sk_Xz1(
23.82/24.09	                                 sk_Xz1(
23.82/24.09	                                   sk_Xz1(
23.82/24.09	                                     sk_Xz1(
23.82/24.09	                                       sk_Xz1(
23.82/24.09	                                         sk_Xz1(
23.82/24.09	                                           sk_Xz1(
23.82/24.09	                                             sk_Xz1(
23.82/24.09	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.09	             sk_Xx)
23.82/24.09	       | cQ(sk_Xy, X0)),
23.82/24.09	    inference('sup-', [status(thm)], ['56', '58'])).
23.82/24.09	tff('60', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (cQ(sk_Xy, X0)
23.82/24.09	       | ~ sk_Xp(
23.82/24.09	             sk_Xz1(
23.82/24.09	               sk_Xz1(
23.82/24.09	                 sk_Xz1(
23.82/24.09	                   sk_Xz1(
23.82/24.09	                     sk_Xz1(
23.82/24.09	                       sk_Xz1(
23.82/24.09	                         sk_Xz1(
23.82/24.09	                           sk_Xz1(
23.82/24.09	                             sk_Xz1(
23.82/24.09	                               sk_Xz1(
23.82/24.09	                                 sk_Xz1(
23.82/24.09	                                   sk_Xz1(
23.82/24.09	                                     sk_Xz1(
23.82/24.09	                                       sk_Xz1(
23.82/24.09	                                         sk_Xz1(
23.82/24.09	                                           sk_Xz1(
23.82/24.09	                                             sk_Xz1(
23.82/24.09	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.09	             sk_Xx)
23.82/24.09	       | ~ cQ(sk_Xy1, sk_Xx1)),
23.82/24.09	    inference('simplify', [status(thm)], ['59'])).
23.82/24.09	tff('61', plain,
23.82/24.09	    (cQ(sk_Xx, sk_Xy) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
23.82/24.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.09	tff('62', plain, (cQ(sk_Xx, sk_Xy) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
23.82/24.09	    inference('demod', [status(thm)], ['61', '52'])).
23.82/24.09	tff('63', plain, (cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xx, sk_Xy)),
23.82/24.09	    inference('simplify', [status(thm)], ['62'])).
23.82/24.09	tff('64', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xp(X0, sk_Xx) | sk_Xp(X0, sk_Xy)),
23.82/24.09	    inference('sup-', [status(thm)], ['63', '7'])).
23.82/24.09	tff('65', plain,
23.82/24.09	    ![X0 : a]: (sk_Xp(X0, sk_Xy) | ~ sk_Xp(X0, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['64'])).
23.82/24.09	tff('66', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xp(X0, sk_Xx) | cQ(sk_Xy, X0)),
23.82/24.09	    inference('sup-', [status(thm)], ['65', '4'])).
23.82/24.09	tff('67', plain,
23.82/24.09	    ![X0 : a]: (cQ(sk_Xy, X0) | ~ sk_Xp(X0, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['66'])).
23.82/24.09	tff('68', plain, (~ $true | cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xy, sk_Xx)),
23.82/24.09	    inference('sup-', [status(thm)], ['0', '67'])).
23.82/24.09	tff('69', plain, (cQ(sk_Xy, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['68'])).
23.82/24.09	tff('70', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xp(X0, sk_Xy) | sk_Xp(X0, sk_Xx)),
23.82/24.09	    inference('sup-', [status(thm)], ['69', '7'])).
23.82/24.09	tff('71', plain,
23.82/24.09	    ![X0 : a]: (sk_Xp(X0, sk_Xx) | ~ sk_Xp(X0, sk_Xy) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['70'])).
23.82/24.09	tff('72', plain, (~ $true | cQ(sk_Xx1, sk_Xy1) | sk_Xp(sk_Xy, sk_Xx)),
23.82/24.09	    inference('sup-', [status(thm)], ['0', '71'])).
23.82/24.09	tff('73', plain, (sk_Xp(sk_Xy, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['72'])).
23.82/24.09	tff('74', plain,
23.82/24.09	    (cQ(sk_Xy, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
23.82/24.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.09	tff('75', plain, (cQ(sk_Xy, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
23.82/24.09	    inference('demod', [status(thm)], ['74', '52'])).
23.82/24.09	tff('76', plain, (cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xy, sk_Xz)),
23.82/24.09	    inference('simplify', [status(thm)], ['75'])).
23.82/24.09	tff('77', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xp(X0, sk_Xy) | sk_Xp(X0, sk_Xz)),
23.82/24.09	    inference('sup-', [status(thm)], ['76', '7'])).
23.82/24.09	tff('78', plain,
23.82/24.09	    ![X0 : a]: (sk_Xp(X0, sk_Xz) | ~ sk_Xp(X0, sk_Xy) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['77'])).
23.82/24.09	tff('79', plain,
23.82/24.09	    ![X0 : a, X1 : a]:
23.82/24.09	      (~ $true
23.82/24.09	       | cQ(sk_Xx1, sk_Xy1)
23.82/24.09	       | ~ sk_Xp(X0, sk_Xy)
23.82/24.09	       | ~ sk_Xp(X0, X1)
23.82/24.09	       | cQ(X1, sk_Xz)),
23.82/24.09	    inference('sup-', [status(thm)], ['78', '2'])).
23.82/24.09	tff('80', plain,
23.82/24.09	    ![X0 : a, X1 : a]:
23.82/24.09	      (cQ(X1, sk_Xz)
23.82/24.09	       | ~ sk_Xp(X0, X1)
23.82/24.09	       | ~ sk_Xp(X0, sk_Xy)
23.82/24.09	       | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['79'])).
23.82/24.09	tff('81', plain,
23.82/24.09	    (~ $true
23.82/24.09	     | cQ(sk_Xx1, sk_Xy1)
23.82/24.09	     | cQ(sk_Xx1, sk_Xy1)
23.82/24.09	     | ~ sk_Xp(sk_Xy, sk_Xy)
23.82/24.09	     | cQ(sk_Xx, sk_Xz)),
23.82/24.09	    inference('sup-', [status(thm)], ['73', '80'])).
23.82/24.09	tff('82', plain,
23.82/24.09	    (~ $true
23.82/24.09	     | cQ(sk_Xx1, sk_Xy1)
23.82/24.09	     | cQ(sk_Xx1, sk_Xy1)
23.82/24.09	     | ~ $true
23.82/24.09	     | cQ(sk_Xx, sk_Xz)),
23.82/24.09	    inference('demod', [status(thm)], ['81', '0'])).
23.82/24.09	tff('83', plain, (cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1)),
23.82/24.09	    inference('simplify', [status(thm)], ['82'])).
23.82/24.09	tff('84', plain,
23.82/24.09	    (~ cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
23.82/24.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.09	tff('85', plain, (~ cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
23.82/24.09	    inference('demod', [status(thm)], ['84', '52'])).
23.82/24.09	tff('86', plain, (cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx, sk_Xz)),
23.82/24.09	    inference('simplify', [status(thm)], ['85'])).
23.82/24.09	tff('87', plain, cQ(sk_Xx1, sk_Xy1),
23.82/24.09	    inference('clc', [status(thm)], ['83', '86'])).
23.82/24.09	tff('88', plain,
23.82/24.09	    ![X0 : a]: (~ $true | ~ sk_Xp(X0, sk_Xx1) | sk_Xp(X0, sk_Xy1)),
23.82/24.09	    inference('sup-', [status(thm)], ['87', '7'])).
23.82/24.09	tff('89', plain, ![X0 : a]: (sk_Xp(X0, sk_Xy1) | ~ sk_Xp(X0, sk_Xx1)),
23.82/24.09	    inference('simplify', [status(thm)], ['88'])).
23.82/24.09	tff('90', plain, ![X0 : a]: (~ $true | ~ sk_Xp(X0, sk_Xx1) | cQ(sk_Xy1, X0)),
23.82/24.09	    inference('sup-', [status(thm)], ['89', '4'])).
23.82/24.09	tff('91', plain, ![X0 : a]: (cQ(sk_Xy1, X0) | ~ sk_Xp(X0, sk_Xx1)),
23.82/24.09	    inference('simplify', [status(thm)], ['90'])).
23.82/24.09	tff('92', plain, (~ $true | cQ(sk_Xy1, sk_Xx1)),
23.82/24.09	    inference('sup-', [status(thm)], ['0', '91'])).
23.82/24.09	tff('93', plain, cQ(sk_Xy1, sk_Xx1),
23.82/24.09	    inference('simplify', [status(thm)], ['92'])).
23.82/24.09	tff('94', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (cQ(sk_Xy, X0)
23.82/24.09	       | ~ sk_Xp(
23.82/24.09	             sk_Xz1(
23.82/24.09	               sk_Xz1(
23.82/24.09	                 sk_Xz1(
23.82/24.09	                   sk_Xz1(
23.82/24.09	                     sk_Xz1(
23.82/24.09	                       sk_Xz1(
23.82/24.09	                         sk_Xz1(
23.82/24.09	                           sk_Xz1(
23.82/24.09	                             sk_Xz1(
23.82/24.09	                               sk_Xz1(
23.82/24.09	                                 sk_Xz1(
23.82/24.09	                                   sk_Xz1(
23.82/24.09	                                     sk_Xz1(
23.82/24.09	                                       sk_Xz1(
23.82/24.09	                                         sk_Xz1(
23.82/24.09	                                           sk_Xz1(
23.82/24.09	                                             sk_Xz1(
23.82/24.09	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.09	             sk_Xx)
23.82/24.09	       | ~ $true),
23.82/24.09	    inference('demod', [status(thm)], ['60', '93'])).
23.82/24.09	tff('95', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ sk_Xp(
23.82/24.09	           sk_Xz1(
23.82/24.09	             sk_Xz1(
23.82/24.09	               sk_Xz1(
23.82/24.09	                 sk_Xz1(
23.82/24.09	                   sk_Xz1(
23.82/24.09	                     sk_Xz1(
23.82/24.09	                       sk_Xz1(
23.82/24.09	                         sk_Xz1(
23.82/24.09	                           sk_Xz1(
23.82/24.09	                             sk_Xz1(
23.82/24.09	                               sk_Xz1(
23.82/24.09	                                 sk_Xz1(
23.82/24.09	                                   sk_Xz1(
23.82/24.09	                                     sk_Xz1(
23.82/24.09	                                       sk_Xz1(
23.82/24.09	                                         sk_Xz1(
23.82/24.09	                                           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
23.82/24.09	           sk_Xx)
23.82/24.09	       | cQ(sk_Xy, X0)),
23.82/24.09	    inference('simplify', [status(thm)], ['94'])).
23.82/24.09	tff('96', plain, (~ $true | cQ(sk_Xy, sk_Xx)),
23.82/24.09	    inference('sup-', [status(thm)], ['49', '95'])).
23.82/24.09	tff('97', plain, cQ(sk_Xy, sk_Xx),
23.82/24.09	    inference('simplify', [status(thm)], ['96'])).
23.82/24.09	tff('98', plain,
23.82/24.09	    ![X0 : a]: (~ $true | ~ sk_Xp(X0, sk_Xy) | sk_Xp(X0, sk_Xx)),
23.82/24.09	    inference('sup-', [status(thm)], ['97', '7'])).
23.82/24.09	tff('99', plain, ![X0 : a]: (sk_Xp(X0, sk_Xx) | ~ sk_Xp(X0, sk_Xy)),
23.82/24.09	    inference('simplify', [status(thm)], ['98'])).
23.82/24.09	tff('100', plain, (~ $true | sk_Xp(sk_Xy, sk_Xx)),
23.82/24.09	    inference('sup-', [status(thm)], ['0', '99'])).
23.82/24.09	tff('101', plain, sk_Xp(sk_Xy, sk_Xx),
23.82/24.09	    inference('simplify', [status(thm)], ['100'])).
23.82/24.09	tff('102', plain,
23.82/24.09	    (cQ(sk_Xy, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
23.82/24.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.09	tff('103', plain, (cQ(sk_Xy, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ $true),
23.82/24.09	    inference('demod', [status(thm)], ['102', '52'])).
23.82/24.09	tff('104', plain, (~ cQ(sk_Xy1, sk_Xx1) | cQ(sk_Xy, sk_Xz)),
23.82/24.09	    inference('simplify', [status(thm)], ['103'])).
23.82/24.09	tff('105', plain,
23.82/24.09	    ![X0 : a]:
23.82/24.09	      (~ $true | ~ cQ(sk_Xy1, sk_Xx1) | ~ sk_Xp(X0, sk_Xy) | sk_Xp(X0, sk_Xz)),
23.82/24.09	    inference('sup-', [status(thm)], ['104', '7'])).
23.82/24.09	tff('106', plain,
23.82/24.09	    ![X0 : a]: (sk_Xp(X0, sk_Xz) | ~ sk_Xp(X0, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1)),
23.82/24.09	    inference('simplify', [status(thm)], ['105'])).
23.82/24.09	tff('107', plain,
23.82/24.09	    ![X0 : a, X1 : a]:
23.82/24.09	      (~ $true
23.82/24.09	       | ~ cQ(sk_Xy1, sk_Xx1)
23.82/24.09	       | ~ sk_Xp(X0, sk_Xy)
23.82/24.09	       | ~ sk_Xp(X0, X1)
23.82/24.09	       | cQ(X1, sk_Xz)),
23.82/24.09	    inference('sup-', [status(thm)], ['106', '2'])).
23.82/24.09	tff('108', plain,
23.82/24.09	    ![X0 : a, X1 : a]:
23.82/24.09	      (cQ(X1, sk_Xz)
23.82/24.09	       | ~ sk_Xp(X0, X1)
23.82/24.09	       | ~ sk_Xp(X0, sk_Xy)
23.82/24.09	       | ~ cQ(sk_Xy1, sk_Xx1)),
23.82/24.09	    inference('simplify', [status(thm)], ['107'])).
23.82/24.09	tff('109', plain,
23.82/24.09	    (~ $true
23.82/24.09	     | ~ cQ(sk_Xy1, sk_Xx1)
23.82/24.09	     | ~ sk_Xp(sk_Xy, sk_Xy)
23.82/24.09	     | cQ(sk_Xx, sk_Xz)),
23.82/24.09	    inference('sup-', [status(thm)], ['101', '108'])).
23.82/24.09	tff('110', plain, (~ $true | ~ $true | ~ $true | cQ(sk_Xx, sk_Xz)),
23.82/24.09	    inference('demod', [status(thm)], ['109', '93', '0'])).
23.82/24.09	tff('111', plain, cQ(sk_Xx, sk_Xz),
23.82/24.09	    inference('simplify', [status(thm)], ['110'])).
23.82/24.09	tff('112', plain,
23.82/24.09	    (~ cQ(sk_Xx, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
23.82/24.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.82/24.09	tff('113', plain, (~ $true | ~ cQ(sk_Xx2, sk_Xx2) | ~ cQ(sk_Xy1, sk_Xx1)),
23.82/24.09	    inference('sup-', [status(thm)], ['111', '112'])).
23.82/24.09	tff('114', plain, (~ $true | ~ $true | ~ $true),
23.82/24.09	    inference('demod', [status(thm)], ['113', '52', '93'])).
23.82/24.09	tff('115', plain, $false, inference('simplify', [status(thm)], ['114'])).
23.82/24.09	
23.82/24.09	% SZS output end Refutation
23.82/24.09	EOF
