0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n047.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 15:31:54 CST 2018
0.00/0.21	% done 31 iterations in 0.013s
0.00/0.21	% SZS status Theorem for 'stdin'
0.00/0.21	% SZS output start Refutation
0.00/0.22	tff(zf_stmt_7, conjecture,
0.00/0.22	  (((![Xn]:
0.00/0.22	       (app_encode_app($i,$o,cNUMBER,Xn) <=>
0.00/0.22	        (app_encode_app($i,$o,cODD,Xn) | app_encode_app($i,$o,cEVEN,Xn)))) & 
0.00/0.22	    (((![Xx]:
0.00/0.22	         ((app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx)) & 
0.00/0.22	           app_encode_app($i,$o,cNUMBER,Xx)) =>
0.00/0.22	          (app_encode_app($i,$o,cNUMBER,
0.00/0.22	                          app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xx))) & 
0.00/0.22	           app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx))))) & 
0.00/0.22	      app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,c0)) & 
0.00/0.22	      app_encode_app($i,$o,cNUMBER,c0)) =>
0.00/0.22	     (![Xx]:
0.00/0.22	        (app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx)) & 
0.00/0.22	         app_encode_app($i,$o,cNUMBER,Xx)))) & 
0.00/0.22	    (![Xn]:
0.00/0.22	       (app_encode_app($i,$o,cODD,Xn) =>
0.00/0.22	        app_encode_app($i,$o,cODD,
0.00/0.22	                       app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xn))))) & 
0.00/0.22	    app_encode_app($i,$o,cODD,app_encode_app($i,$i,cS,c0)) & 
0.00/0.22	    (![Xn]:
0.00/0.22	       (app_encode_app($i,$o,cEVEN,Xn) =>
0.00/0.22	        app_encode_app($i,$o,cEVEN,
0.00/0.22	                       app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xn))))) & 
0.00/0.22	    app_encode_app($i,$o,cEVEN,c0)) =>
0.00/0.22	   (![Xn]: app_encode_app($i,$o,cNUMBER,Xn)))).
0.00/0.22	tff(zf_stmt_0, type, zip_tseitin0 : $i > $o).
0.00/0.22	tff(zf_stmt_1, axiom,
0.00/0.22	  (zip_tseitin0(Xn) <=>
0.00/0.22	   (app_encode_app($i,$o,cEVEN,Xn) | app_encode_app($i,$o,cODD,Xn)))).
0.00/0.22	tff(zf_stmt_2, conjecture,
0.00/0.22	  ((app_encode_app($i,$o,cEVEN,c0) & 
0.00/0.22	    (![Xn]:
0.00/0.22	       (app_encode_app($i,$o,cEVEN,Xn) =>
0.00/0.22	        app_encode_app($i,$o,cEVEN,
0.00/0.22	                       app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xn))))) & 
0.00/0.22	    app_encode_app($i,$o,cODD,app_encode_app($i,$i,cS,c0)) & 
0.00/0.22	    (![Xn]:
0.00/0.22	       (app_encode_app($i,$o,cODD,Xn) =>
0.00/0.22	        app_encode_app($i,$o,cODD,
0.00/0.22	                       app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xn))))) & 
0.00/0.22	    ((app_encode_app($i,$o,cNUMBER,c0) & 
0.00/0.22	      app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,c0)) & 
0.00/0.22	      (![Xx]:
0.00/0.22	         ((app_encode_app($i,$o,cNUMBER,Xx) & 
0.00/0.22	           app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx))) =>
0.00/0.22	          (app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx)) & 
0.00/0.22	           app_encode_app($i,$o,cNUMBER,
0.00/0.22	                          app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xx))))))) =>
0.00/0.22	     (![Xx]:
0.00/0.22	        (app_encode_app($i,$o,cNUMBER,Xx) & 
0.00/0.22	         app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx))))) & 
0.00/0.22	    (![Xn]: (app_encode_app($i,$o,cNUMBER,Xn) <=> zip_tseitin0(Xn)))) =>
0.00/0.22	   (![Xn]: app_encode_app($i,$o,cNUMBER,Xn)))).
0.00/0.22	tff(zf_stmt_3, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    ((app_encode_app($i,$o,cEVEN,c0) & 
0.00/0.22	      (![Xn]:
0.00/0.22	         (app_encode_app($i,$o,cEVEN,Xn) =>
0.00/0.22	          app_encode_app($i,$o,cEVEN,
0.00/0.22	                         app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xn))))) & 
0.00/0.22	      app_encode_app($i,$o,cODD,app_encode_app($i,$i,cS,c0)) & 
0.00/0.22	      (![Xn]:
0.00/0.22	         (app_encode_app($i,$o,cODD,Xn) =>
0.00/0.22	          app_encode_app($i,$o,cODD,
0.00/0.22	                         app_encode_app($i,$i,cS,app_encode_app($i,$i,cS,Xn))))) & 
0.00/0.22	      ((app_encode_app($i,$o,cNUMBER,c0) & 
0.00/0.22	        app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,c0)) & 
0.00/0.22	        (![Xx]:
0.00/0.22	           ((app_encode_app($i,$o,cNUMBER,Xx) & 
0.00/0.22	             app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx))) =>
0.00/0.22	            (app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx)) & 
0.00/0.22	             app_encode_app($i,$o,cNUMBER,
0.00/0.22	                            app_encode_app($i,$i,cS,
0.00/0.22	                                           app_encode_app($i,$i,cS,Xx))))))) =>
0.00/0.22	       (![Xx]:
0.00/0.22	          (app_encode_app($i,$o,cNUMBER,Xx) & 
0.00/0.22	           app_encode_app($i,$o,cNUMBER,app_encode_app($i,$i,cS,Xx))))) & 
0.00/0.22	      (![Xn]: (app_encode_app($i,$o,cNUMBER,Xn) <=> zip_tseitin0(Xn)))) =>
0.00/0.22	     (![Xn]: app_encode_app($i,$o,cNUMBER,Xn))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X5]: (app_encode_app($i, $o, cNUMBER, X5) | ~ zip_tseitin0(X5)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (app_encode_app($i, $o, cODD, X0)
0.00/0.22	       | app_encode_app($i, $o, cEVEN, X0)
0.00/0.22	       | ~ zip_tseitin0(X0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X2]:
0.00/0.22	      (app_encode_app($i, $o, cODD, 
0.00/0.22	         app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, X2)))
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, X2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0]: (zip_tseitin0(X0) | ~ app_encode_app($i, $o, cODD, X0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, X0)
0.00/0.22	       | zip_tseitin0(
0.00/0.22	           app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, X0)))),
0.00/0.22	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (zip_tseitin0(
0.00/0.22	         app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, X0)))
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X3]:
0.00/0.22	      (app_encode_app($i, $o, cNUMBER, X3)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, 
0.00/0.22	             app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, sk_Xx)))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, sk_Xx))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X3]:
0.00/0.22	      (app_encode_app($i, $o, cNUMBER, X3)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, sk_Xx))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('8', plain,
0.00/0.22	    (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	     | app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, sk_Xx))
0.00/0.22	     | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))),
0.00/0.22	    inference('condensation', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X3]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, 
0.00/0.22	             app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, sk_Xx)))
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X3)),
0.00/0.22	    inference('clc', [status(thm)], ['6', '8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ zip_tseitin0(
0.00/0.22	             app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, sk_Xx)))
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ zip_tseitin0(
0.00/0.22	             app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, sk_Xx)))),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['5', '11'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, sk_Xx)),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ zip_tseitin0(app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    app_encode_app($i, $o, cODD, app_encode_app($i, $i, cS, c0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('16', plain, (~ $true | zip_tseitin0(app_encode_app($i, $i, cS, c0))),
0.00/0.22	    inference('sup-', [status(thm)], ['15', '3'])).
0.00/0.22	tff('17', plain, zip_tseitin0(app_encode_app($i, $i, cS, c0)),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('demod', [status(thm)], ['14', '17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cODD, sk_Xx)),
0.00/0.22	    inference('simplify', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ zip_tseitin0(sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cEVEN, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X3]:
0.00/0.22	      (app_encode_app($i, $o, cNUMBER, X3)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, sk_Xx)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('22', plain,
0.00/0.22	    (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	     | app_encode_app($i, $o, cNUMBER, sk_Xx)
0.00/0.22	     | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))),
0.00/0.22	    inference('condensation', [status(thm)], ['21'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ zip_tseitin0(app_encode_app($i, $i, cS, c0))
0.00/0.22	     | app_encode_app($i, $o, cNUMBER, sk_Xx)
0.00/0.22	     | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | app_encode_app($i, $o, cNUMBER, sk_Xx)
0.00/0.22	     | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('demod', [status(thm)], ['23', '17'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	     | app_encode_app($i, $o, cNUMBER, sk_Xx)),
0.00/0.22	    inference('simplify', [status(thm)], ['24'])).
0.00/0.22	tff('26', plain,
0.00/0.22	    ![X6]: (zip_tseitin0(X6) | ~ app_encode_app($i, $o, cNUMBER, X6)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('27', plain,
0.00/0.22	    (~ $true | ~ app_encode_app($i, $o, cNUMBER, c0) | zip_tseitin0(sk_Xx)),
0.00/0.22	    inference('sup-', [status(thm)], ['25', '26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    (zip_tseitin0(sk_Xx) | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('simplify', [status(thm)], ['27'])).
0.00/0.22	tff('29', plain, (~ $true | ~ zip_tseitin0(c0) | zip_tseitin0(sk_Xx)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '28'])).
0.00/0.22	tff('30', plain, app_encode_app($i, $o, cEVEN, c0),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('31', plain,
0.00/0.22	    ![X0]: (zip_tseitin0(X0) | ~ app_encode_app($i, $o, cEVEN, X0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.22	tff('32', plain, (~ $true | zip_tseitin0(c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['30', '31'])).
0.00/0.22	tff('33', plain, zip_tseitin0(c0),
0.00/0.22	    inference('simplify', [status(thm)], ['32'])).
0.00/0.22	tff('34', plain, (~ $true | ~ $true | zip_tseitin0(sk_Xx)),
0.00/0.22	    inference('demod', [status(thm)], ['29', '33'])).
0.00/0.22	tff('35', plain, zip_tseitin0(sk_Xx),
0.00/0.22	    inference('simplify', [status(thm)], ['34'])).
0.00/0.22	tff('36', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ $true
0.00/0.22	       | app_encode_app($i, $o, cEVEN, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('demod', [status(thm)], ['20', '35'])).
0.00/0.22	tff('37', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | app_encode_app($i, $o, cEVEN, sk_Xx)),
0.00/0.22	    inference('simplify', [status(thm)], ['36'])).
0.00/0.22	tff('38', plain,
0.00/0.22	    ![X1]:
0.00/0.22	      (app_encode_app($i, $o, cEVEN, 
0.00/0.22	         app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, X1)))
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, X1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('39', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, X0)
0.00/0.22	       | zip_tseitin0(
0.00/0.22	           app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, X0)))),
0.00/0.22	    inference('sup-', [status(thm)], ['38', '31'])).
0.00/0.22	tff('40', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (zip_tseitin0(
0.00/0.22	         app_encode_app($i, $i, cS, app_encode_app($i, $i, cS, X0)))
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['39'])).
0.00/0.22	tff('41', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['40', '11'])).
0.00/0.22	tff('42', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, app_encode_app($i, $i, cS, c0))
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, sk_Xx)),
0.00/0.22	    inference('simplify', [status(thm)], ['41'])).
0.00/0.22	tff('43', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ zip_tseitin0(app_encode_app($i, $i, cS, c0))
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '42'])).
0.00/0.22	tff('44', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, sk_Xx)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('demod', [status(thm)], ['43', '17'])).
0.00/0.22	tff('45', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, cNUMBER, c0)
0.00/0.22	       | app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cEVEN, sk_Xx)),
0.00/0.22	    inference('simplify', [status(thm)], ['44'])).
0.00/0.22	tff('46', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (app_encode_app($i, $o, cNUMBER, X0)
0.00/0.22	       | ~ app_encode_app($i, $o, cNUMBER, c0)),
0.00/0.22	    inference('clc', [status(thm)], ['37', '45'])).
0.00/0.22	tff('47', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true | ~ zip_tseitin0(c0) | app_encode_app($i, $o, cNUMBER, X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '46'])).
0.00/0.22	tff('48', plain,
0.00/0.22	    ![X0]: (~ $true | ~ $true | app_encode_app($i, $o, cNUMBER, X0)),
0.00/0.22	    inference('demod', [status(thm)], ['47', '33'])).
0.00/0.22	tff('49', plain, ![X0]: app_encode_app($i, $o, cNUMBER, X0),
0.00/0.22	    inference('simplify', [status(thm)], ['48'])).
0.00/0.22	tff('50', plain, ~ app_encode_app($i, $o, cNUMBER, sk_Xn),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.22	tff('51', plain, ~ $true, inference('sup-', [status(thm)], ['49', '50'])).
0.00/0.22	tff('52', plain, $false, inference('simplify', [status(thm)], ['51'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
