0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n149.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:37:09 CST 2018
0.00/0.25	% done 98 iterations in 0.044s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_12, axiom,
0.00/0.25	  (app_encode_app(frac,$o,app_encode_app(frac,app_encode_fun(frac,$o),eq,y),u))).
0.00/0.25	tff('0', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), eq, y), u),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.25	tff(zf_stmt_15, axiom,
0.00/0.25	  (![Xx:frac,Xy:frac]:
0.00/0.25	     (app_encode_app(frac,$o,
0.00/0.25	                     app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xy) =>
0.00/0.25	      app_encode_app(frac,$o,
0.00/0.25	                     app_encode_app(frac,app_encode_fun(frac,$o),eq,Xy),Xx)))).
0.00/0.25	tff('1', plain,
0.00/0.25	    ![X8 : frac, X9 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, X8), X9)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X9), X8)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.25	tff('2', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, u), y)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.25	tff('3', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), eq, u), y),
0.00/0.25	    inference('simplify', [status(thm)], ['2'])).
0.00/0.25	tff(zf_stmt_14, axiom,
0.00/0.25	  (![Xx:frac,Xy:frac,Xz:frac]:
0.00/0.25	     (app_encode_app(frac,$o,
0.00/0.25	                     app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xy) =>
0.00/0.25	      (app_encode_app(frac,$o,
0.00/0.25	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xy),Xz) =>
0.00/0.25	       app_encode_app(frac,$o,
0.00/0.25	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xz))))).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X5 : frac, X6 : frac, X7 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X5), X6)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X5), X7)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X6), X7)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, u), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, u), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['5'])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, u), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X0), y)),
0.00/0.25	    inference('sup-', [status(thm)], ['6', '1'])).
0.00/0.25	tff('8', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, X0), y)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, u), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, y), y)),
0.00/0.25	    inference('sup-', [status(thm)], ['3', '8'])).
0.00/0.25	tff('10', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), eq, y), y),
0.00/0.25	    inference('simplify', [status(thm)], ['9'])).
0.00/0.25	tff(zf_stmt_10, axiom,
0.00/0.25	  ((~
0.00/0.25	     app_encode_app(frac,$o,
0.00/0.25	                    app_encode_app(frac,app_encode_fun(frac,$o),moref,x),y)) =>
0.00/0.25	   app_encode_app(frac,$o,app_encode_app(frac,app_encode_fun(frac,$o),eq,x),y))).
0.00/0.25	tff('11', plain,
0.00/0.25	    (app_encode_app(frac, $o, 
0.00/0.25	       app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.25	tff(zf_stmt_11, axiom,
0.00/0.25	  (app_encode_app(frac,$o,app_encode_app(frac,app_encode_fun(frac,$o),eq,x),z))).
0.00/0.25	tff('12', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), eq, x), z),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.25	tff('13', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, z), x)),
0.00/0.25	    inference('sup-', [status(thm)], ['12', '1'])).
0.00/0.25	tff('14', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), eq, z), x),
0.00/0.25	    inference('simplify', [status(thm)], ['13'])).
0.00/0.25	tff('15', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, z), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['12', '4'])).
0.00/0.25	tff('16', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, x), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, z), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['15'])).
0.00/0.25	tff('17', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, x), x)),
0.00/0.25	    inference('sup-', [status(thm)], ['14', '16'])).
0.00/0.25	tff('18', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), eq, x), x),
0.00/0.25	    inference('simplify', [status(thm)], ['17'])).
0.00/0.25	tff(zf_stmt_16, axiom,
0.00/0.25	  (![Xx:frac,Xy:frac,Xz:frac,Xu:frac]:
0.00/0.25	     (app_encode_app(frac,$o,
0.00/0.25	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.00/0.25	      (app_encode_app(frac,$o,
0.00/0.25	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xz) =>
0.00/0.25	       (app_encode_app(frac,$o,
0.00/0.25	                       app_encode_app(frac,app_encode_fun(frac,$o),eq,Xy),Xu) =>
0.00/0.25	        app_encode_app(frac,$o,
0.00/0.25	                       app_encode_app(frac,app_encode_fun(frac,$o),moref,Xz),
0.00/0.25	                       Xu)))))).
0.00/0.25	tff('19', plain,
0.00/0.25	    ![X10 : frac, X11 : frac, X12 : frac, X13 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X10), X11)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X10), X12)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X12), X13)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X11), X13)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_16])).
0.00/0.25	tff('20', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X1), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X1)),
0.00/0.25	    inference('sup-', [status(thm)], ['18', '19'])).
0.00/0.25	tff('21', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X1)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X1), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['20'])).
0.00/0.25	tff('22', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['11', '21'])).
0.00/0.25	tff('23', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)),
0.00/0.25	    inference('simplify', [status(thm)], ['22'])).
0.00/0.25	tff('24', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, x), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, z), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['14', '4'])).
0.00/0.25	tff('25', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, z), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, x), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['24'])).
0.00/0.25	tff('26', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, x), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X0), X1)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, z), X1)),
0.00/0.25	    inference('sup-', [status(thm)], ['25', '4'])).
0.00/0.25	tff('27', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, z), X1)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X0), X1)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, x), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['26'])).
0.00/0.25	tff('28', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), eq, z), u)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '27'])).
0.00/0.25	tff('29', plain,
0.00/0.25	    (app_encode_app(frac, $o, 
0.00/0.25	       app_encode_app(frac, app_encode_fun(frac, $o), eq, z), u)
0.00/0.25	     | ~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)),
0.00/0.25	    inference('simplify', [status(thm)], ['28'])).
0.00/0.25	tff(zf_stmt_17, conjecture,
0.00/0.25	  ((~
0.00/0.25	     app_encode_app(frac,$o,
0.00/0.25	                    app_encode_app(frac,app_encode_fun(frac,$o),moref,z),u)) =>
0.00/0.25	   app_encode_app(frac,$o,app_encode_app(frac,app_encode_fun(frac,$o),eq,z),u))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    ((~
0.00/0.25	       app_encode_app(frac,$o,
0.00/0.25	                      app_encode_app(frac,app_encode_fun(frac,$o),moref,z),u)) =>
0.00/0.25	     app_encode_app(frac,$o,
0.00/0.25	                    app_encode_app(frac,app_encode_fun(frac,$o),eq,z),u)))).
0.00/0.25	tff('30', plain,
0.00/0.25	    ~ app_encode_app(frac, $o, 
0.00/0.25	        app_encode_app(frac, app_encode_fun(frac, $o), eq, z), u),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('31', plain,
0.00/0.25	    ~ app_encode_app(frac, $o, 
0.00/0.25	        app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y),
0.00/0.25	    inference('clc', [status(thm)], ['29', '30'])).
0.00/0.25	tff('32', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)),
0.00/0.25	    inference('clc', [status(thm)], ['23', '31'])).
0.00/0.25	tff('33', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X1)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X0), X1)),
0.00/0.25	    inference('sup-', [status(thm)], ['32', '21'])).
0.00/0.25	tff('34', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X0), X1)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X1)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['33'])).
0.00/0.25	tff('35', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, y), y)
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.25	    inference('sup-', [status(thm)], ['10', '34'])).
0.00/0.25	tff('36', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ $true
0.00/0.25	     | app_encode_app(frac, $o, 
0.00/0.25	         app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.25	    inference('demod', [status(thm)], ['35', '10'])).
0.00/0.25	tff('37', plain,
0.00/0.25	    app_encode_app(frac, $o, 
0.00/0.25	      app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y),
0.00/0.25	    inference('simplify', [status(thm)], ['36'])).
0.00/0.25	tff('38', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X1), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X1)),
0.00/0.25	    inference('sup-', [status(thm)], ['12', '19'])).
0.00/0.25	tff('39', plain,
0.00/0.25	    ![X0 : frac, X1 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), X1)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X1), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['38'])).
0.00/0.25	tff('40', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), X0)
0.00/0.25	       | ~ app_encode_app(frac, $o, 
0.00/0.25	             app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['37', '39'])).
0.00/0.25	tff('41', plain,
0.00/0.25	    ![X0 : frac]:
0.00/0.25	      (~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, y), X0)
0.00/0.25	       | app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['40'])).
0.00/0.25	tff('42', plain,
0.00/0.25	    ~ app_encode_app(frac, $o, 
0.00/0.25	        app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('43', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app(frac, $o, 
0.00/0.25	           app_encode_app(frac, app_encode_fun(frac, $o), eq, y), u)),
0.00/0.25	    inference('sup-', [status(thm)], ['41', '42'])).
0.00/0.25	tff('44', plain, (~ $true | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['43', '0'])).
0.00/0.25	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
