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
0.00/0.20	% Computer   : n037.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:00:53 CST 2018
32.48/32.68	% done 44549 iterations in 32.471s
32.48/32.68	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
32.48/32.68	% SZS output start Refutation
32.48/32.68	tff(cTHM559A_pme, conjecture,
32.48/32.68	  ((?[Xf:((a * a) > $o)]:
32.48/32.68	      (![Xx:a]:
32.48/32.68	         (Xf(Xx,Xx) & 
32.48/32.68	          (![Xx_0:a]: (Xf(Xx,Xx_0) => (![Xy:a]: (Xf(Xx,Xy) <=> cQ(Xx_0,Xy))))) & 
32.48/32.68	          (?[Xz:a]: Xf(Xx,Xz))))) =>
32.48/32.68	   ((![Xx:a,Xy:a,Xz:a]: ((cQ(Xy,Xz) & cQ(Xx,Xy)) => cQ(Xx,Xz))) & 
32.48/32.68	    (![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & (![Xx:a]: cQ(Xx,Xx))))).
32.48/32.68	tff(zf_stmt_0, negated_conjecture,
32.48/32.68	  (~
32.48/32.68	    ((?[Xf:((a * a) > $o)]:
32.48/32.68	        (![Xx:a]:
32.48/32.68	           (Xf(Xx,Xx) & 
32.48/32.68	            (![Xx_0:a]:
32.48/32.68	               (Xf(Xx,Xx_0) => (![Xy:a]: (Xf(Xx,Xy) <=> cQ(Xx_0,Xy))))) & 
32.48/32.68	            (?[Xz:a]: Xf(Xx,Xz))))) =>
32.48/32.68	     ((![Xx:a,Xy:a,Xz:a]: ((cQ(Xy,Xz) & cQ(Xx,Xy)) => cQ(Xx,Xz))) & 
32.48/32.68	      (![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & (![Xx:a]: cQ(Xx,Xx)))))).
32.48/32.68	tff('0', plain, ![X0 : a]: sk_Xf(X0, X0),
32.48/32.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.68	tff('1', plain, ![X5 : a]: sk_Xf(X5, sk_Xz1(X5)),
32.48/32.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.68	tff('2', plain,
32.48/32.68	    ![X1 : a, X3 : a, X4 : a]:
32.48/32.68	      (~ sk_Xf(X3, X4) | cQ(X1, X4) | ~ sk_Xf(X3, X1)),
32.48/32.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.68	tff('3', plain, ![X0 : a, X1 : a]: (~ $true | ~ sk_Xf(X0, X1) | cQ(X1, X0)),
32.48/32.68	    inference('sup-', [status(thm)], ['0', '2'])).
32.48/32.68	tff('4', plain, ![X0 : a, X1 : a]: (cQ(X1, X0) | ~ sk_Xf(X0, X1)),
32.48/32.68	    inference('simplify', [status(thm)], ['3'])).
32.48/32.68	tff('5', plain, ![X0 : a]: (~ $true | cQ(sk_Xz1(X0), X0)),
32.48/32.68	    inference('sup-', [status(thm)], ['1', '4'])).
32.48/32.68	tff('6', plain, ![X0 : a]: cQ(sk_Xz1(X0), X0),
32.48/32.68	    inference('simplify', [status(thm)], ['5'])).
32.48/32.68	tff('7', plain,
32.48/32.68	    ![X1 : a, X2 : a, X3 : a]:
32.48/32.68	      (~ cQ(X1, X2) | sk_Xf(X3, X2) | ~ sk_Xf(X3, X1)),
32.48/32.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.68	tff('8', plain,
32.48/32.68	    ![X0 : a, X1 : a]: (~ $true | ~ sk_Xf(X1, sk_Xz1(X0)) | sk_Xf(X1, X0)),
32.48/32.68	    inference('sup-', [status(thm)], ['6', '7'])).
32.48/32.68	tff('9', plain, ![X0 : a, X1 : a]: (sk_Xf(X1, X0) | ~ sk_Xf(X1, sk_Xz1(X0))),
32.48/32.68	    inference('simplify', [status(thm)], ['8'])).
32.48/32.68	tff('10', plain, ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(X0), X0)),
32.48/32.68	    inference('sup-', [status(thm)], ['0', '9'])).
32.48/32.69	tff('11', plain, ![X0 : a]: sk_Xf(sk_Xz1(X0), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['10'])).
32.48/32.69	tff('12', plain, ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(sk_Xz1(X0)), X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['11', '9'])).
32.48/32.69	tff('13', plain, ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(X0)), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['12'])).
32.48/32.69	tff('14', plain,
32.48/32.69	    ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(X0))), X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['13', '9'])).
32.48/32.69	tff('15', plain, ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(X0))), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['14'])).
32.48/32.69	tff('16', plain,
32.48/32.69	    ![X0 : a]: (~ $true | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))), X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['15', '9'])).
32.48/32.69	tff('17', plain, ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['16'])).
32.48/32.69	tff('18', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['17', '9'])).
32.48/32.69	tff('19', plain,
32.48/32.69	    ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['18'])).
32.48/32.69	tff('20', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))), X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['19', '9'])).
32.48/32.69	tff('21', plain,
32.48/32.69	    ![X0 : a]: sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['20'])).
32.48/32.69	tff('22', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['21', '9'])).
32.48/32.69	tff('23', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))), X0),
32.48/32.69	    inference('simplify', [status(thm)], ['22'])).
32.48/32.69	tff('24', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['23', '9'])).
32.48/32.69	tff('25', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['24'])).
32.48/32.69	tff('26', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['25', '9'])).
32.48/32.69	tff('27', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['26'])).
32.48/32.69	tff('28', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['27', '9'])).
32.48/32.69	tff('29', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['28'])).
32.48/32.69	tff('30', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['29', '9'])).
32.48/32.69	tff('31', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['30'])).
32.48/32.69	tff('32', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['31', '9'])).
32.48/32.69	tff('33', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['32'])).
32.48/32.69	tff('34', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['33', '9'])).
32.48/32.69	tff('35', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['34'])).
32.48/32.69	tff('36', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['35', '9'])).
32.48/32.69	tff('37', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['36'])).
32.48/32.69	tff('38', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['37', '9'])).
32.48/32.69	tff('39', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(
32.48/32.69	                          sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['38'])).
32.48/32.69	tff('40', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['39', '9'])).
32.48/32.69	tff('41', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(
32.48/32.69	                          sk_Xz1(
32.48/32.69	                            sk_Xz1(
32.48/32.69	                              sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['40'])).
32.48/32.69	tff('42', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['41', '9'])).
32.48/32.69	tff('43', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(
32.48/32.69	                          sk_Xz1(
32.48/32.69	                            sk_Xz1(
32.48/32.69	                              sk_Xz1(
32.48/32.69	                                sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['42'])).
32.48/32.69	tff('44', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['43', '9'])).
32.48/32.69	tff('45', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(
32.48/32.69	                          sk_Xz1(
32.48/32.69	                            sk_Xz1(
32.48/32.69	                              sk_Xz1(
32.48/32.69	                                sk_Xz1(
32.48/32.69	                                  sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['44'])).
32.48/32.69	tff('46', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['45', '9'])).
32.48/32.69	tff('47', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(
32.48/32.69	                          sk_Xz1(
32.48/32.69	                            sk_Xz1(
32.48/32.69	                              sk_Xz1(
32.48/32.69	                                sk_Xz1(
32.48/32.69	                                  sk_Xz1(
32.48/32.69	                                    sk_Xz1(
32.48/32.69	                                      sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0))))))))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['46'])).
32.48/32.69	tff('48', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	           X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['47', '9'])).
32.48/32.69	tff('49', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      sk_Xf(
32.48/32.69	        sk_Xz1(
32.48/32.69	          sk_Xz1(
32.48/32.69	            sk_Xz1(
32.48/32.69	              sk_Xz1(
32.48/32.69	                sk_Xz1(
32.48/32.69	                  sk_Xz1(
32.48/32.69	                    sk_Xz1(
32.48/32.69	                      sk_Xz1(
32.48/32.69	                        sk_Xz1(
32.48/32.69	                          sk_Xz1(
32.48/32.69	                            sk_Xz1(
32.48/32.69	                              sk_Xz1(
32.48/32.69	                                sk_Xz1(
32.48/32.69	                                  sk_Xz1(
32.48/32.69	                                    sk_Xz1(
32.48/32.69	                                      sk_Xz1(
32.48/32.69	                                        sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	        X0),
32.48/32.69	    inference('simplify', [status(thm)], ['48'])).
32.48/32.69	tff('50', plain,
32.48/32.69	    (cQ(sk_Xx, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
32.48/32.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.69	tff('51', plain, ![X0 : a]: (~ $true | cQ(X0, X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['0', '4'])).
32.48/32.69	tff('52', plain, ![X0 : a]: cQ(X0, X0),
32.48/32.69	    inference('simplify', [status(thm)], ['51'])).
32.48/32.69	tff('53', plain, (cQ(sk_Xx, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1) | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['50', '52'])).
32.48/32.69	tff('54', plain, (~ cQ(sk_Xy1, sk_Xx1) | cQ(sk_Xx, sk_Xy)),
32.48/32.69	    inference('simplify', [status(thm)], ['53'])).
32.48/32.69	tff('55', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | ~ cQ(sk_Xy1, sk_Xx1) | ~ sk_Xf(X0, sk_Xx) | sk_Xf(X0, sk_Xy)),
32.48/32.69	    inference('sup-', [status(thm)], ['54', '7'])).
32.48/32.69	tff('56', plain,
32.48/32.69	    ![X0 : a]: (sk_Xf(X0, sk_Xy) | ~ sk_Xf(X0, sk_Xx) | ~ cQ(sk_Xy1, sk_Xx1)),
32.48/32.69	    inference('simplify', [status(thm)], ['55'])).
32.48/32.69	tff('57', plain,
32.48/32.69	    ![X0 : a, X1 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | ~ sk_Xf(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(
32.48/32.69	                                             sk_Xz1(
32.48/32.69	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	             X1)
32.48/32.69	       | cQ(X1, X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['49', '2'])).
32.48/32.69	tff('58', plain,
32.48/32.69	    ![X0 : a, X1 : a]:
32.48/32.69	      (cQ(X1, X0)
32.48/32.69	       | ~ sk_Xf(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(
32.48/32.69	                                             sk_Xz1(
32.48/32.69	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	             X1)),
32.48/32.69	    inference('simplify', [status(thm)], ['57'])).
32.48/32.69	tff('59', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | ~ cQ(sk_Xy1, sk_Xx1)
32.48/32.69	       | ~ sk_Xf(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(
32.48/32.69	                                             sk_Xz1(
32.48/32.69	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	             sk_Xx)
32.48/32.69	       | cQ(sk_Xy, X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['56', '58'])).
32.48/32.69	tff('60', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (cQ(sk_Xy, X0)
32.48/32.69	       | ~ sk_Xf(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(
32.48/32.69	                                             sk_Xz1(
32.48/32.69	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	             sk_Xx)
32.48/32.69	       | ~ cQ(sk_Xy1, sk_Xx1)),
32.48/32.69	    inference('simplify', [status(thm)], ['59'])).
32.48/32.69	tff('61', plain,
32.48/32.69	    (cQ(sk_Xx, sk_Xy) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
32.48/32.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.69	tff('62', plain, (cQ(sk_Xx, sk_Xy) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['61', '52'])).
32.48/32.69	tff('63', plain, (cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xx, sk_Xy)),
32.48/32.69	    inference('simplify', [status(thm)], ['62'])).
32.48/32.69	tff('64', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xx) | sk_Xf(X0, sk_Xy)),
32.48/32.69	    inference('sup-', [status(thm)], ['63', '7'])).
32.48/32.69	tff('65', plain,
32.48/32.69	    ![X0 : a]: (sk_Xf(X0, sk_Xy) | ~ sk_Xf(X0, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['64'])).
32.48/32.69	tff('66', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xx) | cQ(sk_Xy, X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['65', '4'])).
32.48/32.69	tff('67', plain,
32.48/32.69	    ![X0 : a]: (cQ(sk_Xy, X0) | ~ sk_Xf(X0, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['66'])).
32.48/32.69	tff('68', plain, (~ $true | cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xy, sk_Xx)),
32.48/32.69	    inference('sup-', [status(thm)], ['0', '67'])).
32.48/32.69	tff('69', plain, (cQ(sk_Xy, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['68'])).
32.48/32.69	tff('70', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xx)),
32.48/32.69	    inference('sup-', [status(thm)], ['69', '7'])).
32.48/32.69	tff('71', plain,
32.48/32.69	    ![X0 : a]: (sk_Xf(X0, sk_Xx) | ~ sk_Xf(X0, sk_Xy) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['70'])).
32.48/32.69	tff('72', plain, (~ $true | cQ(sk_Xx1, sk_Xy1) | sk_Xf(sk_Xy, sk_Xx)),
32.48/32.69	    inference('sup-', [status(thm)], ['0', '71'])).
32.48/32.69	tff('73', plain, (sk_Xf(sk_Xy, sk_Xx) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['72'])).
32.48/32.69	tff('74', plain,
32.48/32.69	    (cQ(sk_Xy, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
32.48/32.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.69	tff('75', plain, (cQ(sk_Xy, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['74', '52'])).
32.48/32.69	tff('76', plain, (cQ(sk_Xx1, sk_Xy1) | cQ(sk_Xy, sk_Xz)),
32.48/32.69	    inference('simplify', [status(thm)], ['75'])).
32.48/32.69	tff('77', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | cQ(sk_Xx1, sk_Xy1) | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xz)),
32.48/32.69	    inference('sup-', [status(thm)], ['76', '7'])).
32.48/32.69	tff('78', plain,
32.48/32.69	    ![X0 : a]: (sk_Xf(X0, sk_Xz) | ~ sk_Xf(X0, sk_Xy) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['77'])).
32.48/32.69	tff('79', plain,
32.48/32.69	    ![X0 : a, X1 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | cQ(sk_Xx1, sk_Xy1)
32.48/32.69	       | ~ sk_Xf(X0, sk_Xy)
32.48/32.69	       | ~ sk_Xf(X0, X1)
32.48/32.69	       | cQ(X1, sk_Xz)),
32.48/32.69	    inference('sup-', [status(thm)], ['78', '2'])).
32.48/32.69	tff('80', plain,
32.48/32.69	    ![X0 : a, X1 : a]:
32.48/32.69	      (cQ(X1, sk_Xz)
32.48/32.69	       | ~ sk_Xf(X0, X1)
32.48/32.69	       | ~ sk_Xf(X0, sk_Xy)
32.48/32.69	       | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['79'])).
32.48/32.69	tff('81', plain,
32.48/32.69	    (~ $true
32.48/32.69	     | cQ(sk_Xx1, sk_Xy1)
32.48/32.69	     | cQ(sk_Xx1, sk_Xy1)
32.48/32.69	     | ~ sk_Xf(sk_Xy, sk_Xy)
32.48/32.69	     | cQ(sk_Xx, sk_Xz)),
32.48/32.69	    inference('sup-', [status(thm)], ['73', '80'])).
32.48/32.69	tff('82', plain,
32.48/32.69	    (~ $true
32.48/32.69	     | cQ(sk_Xx1, sk_Xy1)
32.48/32.69	     | cQ(sk_Xx1, sk_Xy1)
32.48/32.69	     | ~ $true
32.48/32.69	     | cQ(sk_Xx, sk_Xz)),
32.48/32.69	    inference('demod', [status(thm)], ['81', '0'])).
32.48/32.69	tff('83', plain, (cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1)),
32.48/32.69	    inference('simplify', [status(thm)], ['82'])).
32.48/32.69	tff('84', plain,
32.48/32.69	    (~ cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx2, sk_Xx2)),
32.48/32.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.69	tff('85', plain, (~ cQ(sk_Xx, sk_Xz) | cQ(sk_Xx1, sk_Xy1) | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['84', '52'])).
32.48/32.69	tff('86', plain, (cQ(sk_Xx1, sk_Xy1) | ~ cQ(sk_Xx, sk_Xz)),
32.48/32.69	    inference('simplify', [status(thm)], ['85'])).
32.48/32.69	tff('87', plain, cQ(sk_Xx1, sk_Xy1),
32.48/32.69	    inference('clc', [status(thm)], ['83', '86'])).
32.48/32.69	tff('88', plain,
32.48/32.69	    ![X0 : a]: (~ $true | ~ sk_Xf(X0, sk_Xx1) | sk_Xf(X0, sk_Xy1)),
32.48/32.69	    inference('sup-', [status(thm)], ['87', '7'])).
32.48/32.69	tff('89', plain, ![X0 : a]: (sk_Xf(X0, sk_Xy1) | ~ sk_Xf(X0, sk_Xx1)),
32.48/32.69	    inference('simplify', [status(thm)], ['88'])).
32.48/32.69	tff('90', plain, ![X0 : a]: (~ $true | ~ sk_Xf(X0, sk_Xx1) | cQ(sk_Xy1, X0)),
32.48/32.69	    inference('sup-', [status(thm)], ['89', '4'])).
32.48/32.69	tff('91', plain, ![X0 : a]: (cQ(sk_Xy1, X0) | ~ sk_Xf(X0, sk_Xx1)),
32.48/32.69	    inference('simplify', [status(thm)], ['90'])).
32.48/32.69	tff('92', plain, (~ $true | cQ(sk_Xy1, sk_Xx1)),
32.48/32.69	    inference('sup-', [status(thm)], ['0', '91'])).
32.48/32.69	tff('93', plain, cQ(sk_Xy1, sk_Xx1),
32.48/32.69	    inference('simplify', [status(thm)], ['92'])).
32.48/32.69	tff('94', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (cQ(sk_Xy, X0)
32.48/32.69	       | ~ sk_Xf(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(
32.48/32.69	                                             sk_Xz1(
32.48/32.69	                                               sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	             sk_Xx)
32.48/32.69	       | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['60', '93'])).
32.48/32.69	tff('95', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ sk_Xf(
32.48/32.69	           sk_Xz1(
32.48/32.69	             sk_Xz1(
32.48/32.69	               sk_Xz1(
32.48/32.69	                 sk_Xz1(
32.48/32.69	                   sk_Xz1(
32.48/32.69	                     sk_Xz1(
32.48/32.69	                       sk_Xz1(
32.48/32.69	                         sk_Xz1(
32.48/32.69	                           sk_Xz1(
32.48/32.69	                             sk_Xz1(
32.48/32.69	                               sk_Xz1(
32.48/32.69	                                 sk_Xz1(
32.48/32.69	                                   sk_Xz1(
32.48/32.69	                                     sk_Xz1(
32.48/32.69	                                       sk_Xz1(
32.48/32.69	                                         sk_Xz1(
32.48/32.69	                                           sk_Xz1(sk_Xz1(sk_Xz1(sk_Xz1(X0)))))))))))))))))))), 
32.48/32.69	           sk_Xx)
32.48/32.69	       | cQ(sk_Xy, X0)),
32.48/32.69	    inference('simplify', [status(thm)], ['94'])).
32.48/32.69	tff('96', plain, (~ $true | cQ(sk_Xy, sk_Xx)),
32.48/32.69	    inference('sup-', [status(thm)], ['49', '95'])).
32.48/32.69	tff('97', plain, cQ(sk_Xy, sk_Xx),
32.48/32.69	    inference('simplify', [status(thm)], ['96'])).
32.48/32.69	tff('98', plain,
32.48/32.69	    ![X0 : a]: (~ $true | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xx)),
32.48/32.69	    inference('sup-', [status(thm)], ['97', '7'])).
32.48/32.69	tff('99', plain, ![X0 : a]: (sk_Xf(X0, sk_Xx) | ~ sk_Xf(X0, sk_Xy)),
32.48/32.69	    inference('simplify', [status(thm)], ['98'])).
32.48/32.69	tff('100', plain, (~ $true | sk_Xf(sk_Xy, sk_Xx)),
32.48/32.69	    inference('sup-', [status(thm)], ['0', '99'])).
32.48/32.69	tff('101', plain, sk_Xf(sk_Xy, sk_Xx),
32.48/32.69	    inference('simplify', [status(thm)], ['100'])).
32.48/32.69	tff('102', plain,
32.48/32.69	    (cQ(sk_Xy, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
32.48/32.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.69	tff('103', plain, (cQ(sk_Xy, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['102', '52'])).
32.48/32.69	tff('104', plain, (~ cQ(sk_Xy1, sk_Xx1) | cQ(sk_Xy, sk_Xz)),
32.48/32.69	    inference('simplify', [status(thm)], ['103'])).
32.48/32.69	tff('105', plain,
32.48/32.69	    ![X0 : a]:
32.48/32.69	      (~ $true | ~ cQ(sk_Xy1, sk_Xx1) | ~ sk_Xf(X0, sk_Xy) | sk_Xf(X0, sk_Xz)),
32.48/32.69	    inference('sup-', [status(thm)], ['104', '7'])).
32.48/32.69	tff('106', plain,
32.48/32.69	    ![X0 : a]: (sk_Xf(X0, sk_Xz) | ~ sk_Xf(X0, sk_Xy) | ~ cQ(sk_Xy1, sk_Xx1)),
32.48/32.69	    inference('simplify', [status(thm)], ['105'])).
32.48/32.69	tff('107', plain,
32.48/32.69	    ![X0 : a, X1 : a]:
32.48/32.69	      (~ $true
32.48/32.69	       | ~ cQ(sk_Xy1, sk_Xx1)
32.48/32.69	       | ~ sk_Xf(X0, sk_Xy)
32.48/32.69	       | ~ sk_Xf(X0, X1)
32.48/32.69	       | cQ(X1, sk_Xz)),
32.48/32.69	    inference('sup-', [status(thm)], ['106', '2'])).
32.48/32.69	tff('108', plain,
32.48/32.69	    ![X0 : a, X1 : a]:
32.48/32.69	      (cQ(X1, sk_Xz)
32.48/32.69	       | ~ sk_Xf(X0, X1)
32.48/32.69	       | ~ sk_Xf(X0, sk_Xy)
32.48/32.69	       | ~ cQ(sk_Xy1, sk_Xx1)),
32.48/32.69	    inference('simplify', [status(thm)], ['107'])).
32.48/32.69	tff('109', plain,
32.48/32.69	    (~ $true
32.48/32.69	     | ~ cQ(sk_Xy1, sk_Xx1)
32.48/32.69	     | ~ sk_Xf(sk_Xy, sk_Xy)
32.48/32.69	     | cQ(sk_Xx, sk_Xz)),
32.48/32.69	    inference('sup-', [status(thm)], ['101', '108'])).
32.48/32.69	tff('110', plain, (~ $true | ~ $true | ~ $true | cQ(sk_Xx, sk_Xz)),
32.48/32.69	    inference('demod', [status(thm)], ['109', '93', '0'])).
32.48/32.69	tff('111', plain, cQ(sk_Xx, sk_Xz),
32.48/32.69	    inference('simplify', [status(thm)], ['110'])).
32.48/32.69	tff('112', plain,
32.48/32.69	    (~ cQ(sk_Xx, sk_Xz) | ~ cQ(sk_Xy1, sk_Xx1) | ~ cQ(sk_Xx2, sk_Xx2)),
32.48/32.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
32.48/32.69	tff('113', plain, (~ $true | ~ cQ(sk_Xx2, sk_Xx2) | ~ cQ(sk_Xy1, sk_Xx1)),
32.48/32.69	    inference('sup-', [status(thm)], ['111', '112'])).
32.48/32.69	tff('114', plain, (~ $true | ~ $true | ~ $true),
32.48/32.69	    inference('demod', [status(thm)], ['113', '52', '93'])).
32.48/32.69	tff('115', plain, $false, inference('simplify', [status(thm)], ['114'])).
32.48/32.69	
32.48/32.69	% SZS output end Refutation
32.48/32.69	EOF
