0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
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-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n097.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:59:53 CST 2018
0.00/0.22	% done 19 iterations in 0.021s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_9, axiom,
0.00/0.23	  ((~
0.00/0.23	     app_encode_app(frac,$o,
0.00/0.23	                    app_encode_app(frac,app_encode_fun(frac,$o),moref,x),y)) =>
0.00/0.23	   app_encode_app(frac,$o,app_encode_app(frac,app_encode_fun(frac,$o),eq,x),y))).
0.00/0.23	tff('0', plain,
0.00/0.23	    (app_encode_app(frac, $o, 
0.00/0.23	       app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)
0.00/0.23	     | app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.23	tff(zf_stmt_10, axiom,
0.00/0.23	  ((~
0.00/0.23	     app_encode_app(frac,$o,
0.00/0.23	                    app_encode_app(frac,app_encode_fun(frac,$o),moref,z),u)) =>
0.00/0.23	   app_encode_app(frac,$o,app_encode_app(frac,app_encode_fun(frac,$o),eq,z),u))).
0.00/0.23	tff('1', plain,
0.00/0.23	    (app_encode_app(frac, $o, 
0.00/0.23	       app_encode_app(frac, app_encode_fun(frac, $o), eq, z), u)
0.00/0.23	     | app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff(zf_stmt_13, axiom,
0.00/0.23	  (![Xx:frac,Xy:frac,Xz:frac,Xu:frac]:
0.00/0.23	     (app_encode_app(frac,$o,
0.00/0.23	                     app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xy) =>
0.00/0.23	      (app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xz),Xu) =>
0.00/0.23	       app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,
0.00/0.23	                                     app_encode_app(frac,frac,
0.00/0.23	                                                    app_encode_app(frac,
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   frac,frac),
0.00/0.23	                                                                   pf,Xx),
0.00/0.23	                                                    Xz)),
0.00/0.23	                      app_encode_app(frac,frac,
0.00/0.23	                                     app_encode_app(frac,
0.00/0.23	                                                    app_encode_fun(frac,frac),
0.00/0.23	                                                    pf,Xy),
0.00/0.23	                                     Xu)))))).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X1 : frac, X2 : frac, X3 : frac, X4 : frac]:
0.00/0.23	      (~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X1), X2)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X3)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X4))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X3), X4)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.23	tff(zf_stmt_16, conjecture,
0.00/0.23	  ((~
0.00/0.23	     app_encode_app(frac,$o,
0.00/0.23	                    app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.23	                                   app_encode_app(frac,frac,
0.00/0.23	                                                  app_encode_app(frac,
0.00/0.23	                                                                 app_encode_fun(
0.00/0.23	                                                                 frac,frac),
0.00/0.23	                                                                 pf,x),
0.00/0.23	                                                  z)),
0.00/0.23	                    app_encode_app(frac,frac,
0.00/0.23	                                   app_encode_app(frac,
0.00/0.23	                                                  app_encode_fun(frac,frac),
0.00/0.23	                                                  pf,y),
0.00/0.23	                                   u))) =>
0.00/0.23	   app_encode_app(frac,$o,
0.00/0.23	                  app_encode_app(frac,app_encode_fun(frac,$o),eq,
0.00/0.23	                                 app_encode_app(frac,frac,
0.00/0.23	                                                app_encode_app(frac,
0.00/0.23	                                                               app_encode_fun(
0.00/0.23	                                                               frac,frac),pf,
0.00/0.23	                                                               x),
0.00/0.23	                                                z)),
0.00/0.23	                  app_encode_app(frac,frac,
0.00/0.23	                                 app_encode_app(frac,
0.00/0.23	                                                app_encode_fun(frac,frac),pf,
0.00/0.23	                                                y),
0.00/0.23	                                 u)))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    ((~
0.00/0.23	       app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.23	                                     app_encode_app(frac,frac,
0.00/0.23	                                                    app_encode_app(frac,
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   frac,frac),
0.00/0.23	                                                                   pf,x),
0.00/0.23	                                                    z)),
0.00/0.23	                      app_encode_app(frac,frac,
0.00/0.23	                                     app_encode_app(frac,
0.00/0.23	                                                    app_encode_fun(frac,frac),
0.00/0.23	                                                    pf,y),
0.00/0.23	                                     u))) =>
0.00/0.23	     app_encode_app(frac,$o,
0.00/0.23	                    app_encode_app(frac,app_encode_fun(frac,$o),eq,
0.00/0.23	                                   app_encode_app(frac,frac,
0.00/0.23	                                                  app_encode_app(frac,
0.00/0.23	                                                                 app_encode_fun(
0.00/0.23	                                                                 frac,frac),
0.00/0.23	                                                                 pf,x),
0.00/0.23	                                                  z)),
0.00/0.23	                    app_encode_app(frac,frac,
0.00/0.23	                                   app_encode_app(frac,
0.00/0.23	                                                  app_encode_fun(frac,frac),
0.00/0.23	                                                  pf,y),
0.00/0.23	                                   u))))).
0.00/0.23	tff('3', plain,
0.00/0.23	    ~ app_encode_app(frac, $o, 
0.00/0.23	        app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.00/0.23	          app_encode_app(frac, frac, 
0.00/0.23	            app_encode_app(frac, app_encode_fun(frac, frac), pf, x), z)), 
0.00/0.23	        app_encode_app(frac, frac, 
0.00/0.23	          app_encode_app(frac, app_encode_fun(frac, frac), pf, y), u)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('4', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, z), u)
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)),
0.00/0.23	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.23	tff('5', plain,
0.00/0.23	    (~ app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, z), u)),
0.00/0.23	    inference('simplify', [status(thm)], ['4'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)),
0.00/0.23	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.23	tff('7', plain,
0.00/0.23	    (~ app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)
0.00/0.23	     | app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)),
0.00/0.23	    inference('simplify', [status(thm)], ['6'])).
0.00/0.23	tff(zf_stmt_15, axiom,
0.00/0.23	  (![Xx:frac,Xy:frac,Xz:frac,Xu:frac]:
0.00/0.23	     (((~
0.00/0.23	         app_encode_app(frac,$o,
0.00/0.23	                        app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),
0.00/0.23	                        Xy)) =>
0.00/0.23	       app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xy)) =>
0.00/0.23	      (app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),moref,Xz),
0.00/0.23	                      Xu) =>
0.00/0.23	       app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.23	                                     app_encode_app(frac,frac,
0.00/0.23	                                                    app_encode_app(frac,
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   frac,frac),
0.00/0.23	                                                                   pf,Xx),
0.00/0.23	                                                    Xz)),
0.00/0.23	                      app_encode_app(frac,frac,
0.00/0.23	                                     app_encode_app(frac,
0.00/0.23	                                                    app_encode_fun(frac,frac),
0.00/0.23	                                                    pf,Xy),
0.00/0.23	                                     Xu)))))).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X9 : frac, X10 : frac, X11 : frac, X12 : frac]:
0.00/0.23	      (~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X9), X10)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X9), X11)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X10), X12))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X11), X12)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0 : frac, X1 : frac]:
0.00/0.23	      (~ $true
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X0)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X1)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0))),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X0 : frac, X1 : frac]:
0.00/0.23	      (app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X1)), 
0.00/0.23	         app_encode_app(frac, frac, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X0)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff(zf_stmt_14, axiom,
0.00/0.23	  (![Xx:frac,Xy:frac,Xz:frac,Xu:frac]:
0.00/0.23	     (app_encode_app(frac,$o,
0.00/0.23	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.00/0.23	      (((~
0.00/0.23	          app_encode_app(frac,$o,
0.00/0.23	                         app_encode_app(frac,app_encode_fun(frac,$o),moref,Xz),
0.00/0.23	                         Xu)) =>
0.00/0.23	        app_encode_app(frac,$o,
0.00/0.23	                       app_encode_app(frac,app_encode_fun(frac,$o),eq,Xz),Xu)) =>
0.00/0.23	       app_encode_app(frac,$o,
0.00/0.23	                      app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.23	                                     app_encode_app(frac,frac,
0.00/0.23	                                                    app_encode_app(frac,
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   frac,frac),
0.00/0.23	                                                                   pf,Xx),
0.00/0.23	                                                    Xz)),
0.00/0.23	                      app_encode_app(frac,frac,
0.00/0.23	                                     app_encode_app(frac,
0.00/0.23	                                                    app_encode_fun(frac,frac),
0.00/0.23	                                                    pf,Xy),
0.00/0.23	                                     Xu)))))).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X5 : frac, X6 : frac, X7 : frac, X8 : frac]:
0.00/0.23	      (~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X5), X6)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X5), X7)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X6), X8))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X7), X8)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0 : frac, X1 : frac]:
0.00/0.23	      (~ $true
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), z)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['1', '11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0 : frac, X1 : frac]:
0.00/0.23	      (~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X0)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), z)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u))
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)),
0.00/0.23	    inference('simplify', [status(thm)], ['12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X5 : frac, X6 : frac, X7 : frac, X8 : frac]:
0.00/0.23	      (~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X5), X6)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X5), X7)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X6), X8))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X7), X8)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0 : frac, X1 : frac]:
0.00/0.23	      (app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), z)), 
0.00/0.23	         app_encode_app(frac, frac, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u))
0.00/0.23	       | ~ app_encode_app(frac, $o, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X0)),
0.00/0.23	    inference('clc', [status(thm)], ['13', '14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ~ app_encode_app(frac, $o, 
0.00/0.23	        app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	          app_encode_app(frac, frac, 
0.00/0.23	            app_encode_app(frac, app_encode_fun(frac, frac), pf, x), z)), 
0.00/0.23	        app_encode_app(frac, frac, 
0.00/0.23	          app_encode_app(frac, app_encode_fun(frac, frac), pf, y), u)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('17', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.23	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ~ app_encode_app(frac, $o, 
0.00/0.23	        app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y),
0.00/0.23	    inference('simplify', [status(thm)], ['17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X0 : frac, X1 : frac]:
0.00/0.23	      (~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X0)
0.00/0.23	       | app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.23	             app_encode_app(frac, frac, 
0.00/0.23	               app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X1)), 
0.00/0.23	           app_encode_app(frac, frac, 
0.00/0.23	             app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0))),
0.00/0.23	    inference('clc', [status(thm)], ['10', '18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)),
0.00/0.23	    inference('sup-', [status(thm)], ['19', '16'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    ~ app_encode_app(frac, $o, 
0.00/0.23	        app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u),
0.00/0.23	    inference('simplify', [status(thm)], ['20'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(frac, $o, 
0.00/0.23	           app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y)),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    ~ app_encode_app(frac, $o, 
0.00/0.23	        app_encode_app(frac, app_encode_fun(frac, $o), eq, x), y),
0.00/0.23	    inference('simplify', [status(thm)], ['22'])).
0.00/0.23	tff('24', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(frac, $o, 
0.00/0.23	         app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '23'])).
0.00/0.23	tff('25', plain,
0.00/0.23	    app_encode_app(frac, $o, 
0.00/0.23	      app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y),
0.00/0.23	    inference('simplify', [status(thm)], ['24'])).
0.00/0.23	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['25', '18'])).
0.00/0.23	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
