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    : rpo6
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n123.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:55:08 CST 2018
0.51/0.75	% done 188 iterations in 0.558s
0.51/0.75	% SZS status Theorem for 'stdin'
0.51/0.75	% SZS output start Refutation
0.51/0.76	tff(zf_stmt_19, axiom,
0.51/0.76	  (![Xx:frac,Xy:frac]:
0.51/0.76	     app_encode_app(frac,$o,
0.51/0.76	                    app_encode_app(frac,app_encode_fun(frac,$o),eq,
0.51/0.76	                                   app_encode_app(frac,frac,
0.51/0.76	                                                  app_encode_app(frac,
0.51/0.76	                                                                 app_encode_fun(
0.51/0.76	                                                                 frac,frac),
0.51/0.76	                                                                 pf,Xx),
0.51/0.76	                                                  Xy)),
0.51/0.76	                    app_encode_app(frac,frac,
0.51/0.76	                                   app_encode_app(frac,
0.51/0.76	                                                  app_encode_fun(frac,frac),
0.51/0.76	                                                  pf,Xy),
0.51/0.76	                                   Xx)))).
0.51/0.76	tff('0', plain,
0.51/0.76	    ![X18 : frac, X19 : frac]:
0.51/0.76	      app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, X18), X19)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, X19), X18)),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_19])).
0.51/0.76	tff(zf_stmt_10, axiom,
0.51/0.76	  (app_encode_app(frac,$o,
0.51/0.76	                  app_encode_app(frac,app_encode_fun(frac,$o),moref,z),u))).
0.51/0.76	tff('1', plain,
0.51/0.76	    app_encode_app(frac, $o, 
0.51/0.76	      app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.51/0.76	tff(zf_stmt_18, axiom,
0.51/0.76	  (![Xx:frac,Xy:frac,Xz:frac]:
0.51/0.76	     (app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.51/0.76	      app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.51/0.76	                                    app_encode_app(frac,frac,
0.51/0.76	                                                   app_encode_app(frac,
0.51/0.76	                                                                  app_encode_fun(
0.51/0.76	                                                                  frac,frac),
0.51/0.76	                                                                  pf,Xx),
0.51/0.76	                                                   Xz)),
0.51/0.76	                     app_encode_app(frac,frac,
0.51/0.76	                                    app_encode_app(frac,
0.51/0.76	                                                   app_encode_fun(frac,frac),
0.51/0.76	                                                   pf,Xy),
0.51/0.76	                                    Xz))))).
0.51/0.76	tff('2', plain,
0.51/0.76	    ![X15 : frac, X16 : frac, X17 : frac]:
0.51/0.76	      (~ app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X15), X16)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X15), 
0.51/0.76	               X17)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X16), X17))),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_18])).
0.51/0.76	tff(zf_stmt_15, axiom,
0.51/0.76	  (![Xx:frac,Xy:frac]:
0.51/0.76	     (app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.51/0.76	      app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xy),Xx)))).
0.51/0.76	tff('3', plain,
0.51/0.76	    ![X9 : frac, X10 : frac]:
0.51/0.76	      (app_encode_app(frac, $o, 
0.51/0.76	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, X9), X10)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X10), X9)),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.51/0.76	tff('4', plain,
0.51/0.76	    ![X0 : frac, X1 : frac, X2 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X1)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X0))),
0.51/0.76	    inference('sup-', [status(thm)], ['2', '3'])).
0.51/0.76	tff('5', plain,
0.51/0.76	    ![X0 : frac, X1 : frac, X2 : frac]:
0.51/0.76	      (app_encode_app(frac, $o, 
0.51/0.76	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.51/0.76	         app_encode_app(frac, frac, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X0))
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X1)),
0.51/0.76	    inference('simplify', [status(thm)], ['4'])).
0.51/0.76	tff('6', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, u), X0)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, z), X0))),
0.51/0.76	    inference('sup-', [status(thm)], ['1', '5'])).
0.51/0.76	tff('7', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, u), X0)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, z), X0)),
0.51/0.76	    inference('simplify', [status(thm)], ['6'])).
0.51/0.76	tff(zf_stmt_13, axiom,
0.51/0.76	  (![Xx:frac,Xy:frac]:
0.51/0.76	     (app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xx),Xy) =>
0.51/0.76	      app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xy),Xx)))).
0.51/0.76	tff('8', plain,
0.51/0.76	    ![X4 : frac, X5 : frac]:
0.51/0.76	      (app_encode_app(frac, $o, 
0.51/0.76	         app_encode_app(frac, app_encode_fun(frac, $o), moref, X4), X5)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, X5), X4)),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.51/0.76	tff('9', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, z), X0)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, u), X0))),
0.51/0.76	    inference('sup-', [status(thm)], ['7', '8'])).
0.51/0.76	tff('10', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, z), X0)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, u), X0)),
0.51/0.76	    inference('simplify', [status(thm)], ['9'])).
0.51/0.76	tff(zf_stmt_17, axiom,
0.51/0.76	  (![Xx:frac,Xy:frac,Xz:frac,Xu:frac]:
0.51/0.76	     (app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.51/0.76	      (app_encode_app(frac,$o,
0.51/0.76	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xz) =>
0.51/0.76	       (app_encode_app(frac,$o,
0.51/0.76	                       app_encode_app(frac,app_encode_fun(frac,$o),eq,Xy),Xu) =>
0.51/0.76	        app_encode_app(frac,$o,
0.51/0.76	                       app_encode_app(frac,app_encode_fun(frac,$o),moref,Xz),
0.51/0.76	                       Xu)))))).
0.51/0.76	tff('11', plain,
0.51/0.76	    ![X11 : frac, X12 : frac, X13 : frac, X14 : frac]:
0.51/0.76	      (~ app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X11), X12)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X11), X13)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X13), X14)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X12), X14)),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_17])).
0.51/0.76	tff('12', plain,
0.51/0.76	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.51/0.76	           X2)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X3), X2)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	               app_encode_app(frac, frac, 
0.51/0.76	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), 
0.51/0.76	                 X1)), X3)),
0.51/0.76	    inference('sup-', [status(thm)], ['0', '11'])).
0.51/0.76	tff('13', plain,
0.51/0.76	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.51/0.76	      (~ app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), X1)), 
0.51/0.76	           X3)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X3), X2)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.51/0.76	           X2)),
0.51/0.76	    inference('simplify', [status(thm)], ['12'])).
0.51/0.76	tff('14', plain,
0.51/0.76	    ![X0 : frac, X1 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), z)), 
0.51/0.76	           X1)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.51/0.76	               app_encode_app(frac, frac, 
0.51/0.76	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, u), X0)), 
0.51/0.76	             X1)),
0.51/0.76	    inference('sup-', [status(thm)], ['10', '13'])).
0.51/0.76	tff('15', plain,
0.51/0.76	    ![X0 : frac, X1 : frac]:
0.51/0.76	      (~ app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, u), X0)), 
0.51/0.76	           X1)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), z)), 
0.51/0.76	           X1)),
0.51/0.76	    inference('simplify', [status(thm)], ['14'])).
0.51/0.76	tff('16', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), z)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u))),
0.51/0.76	    inference('sup-', [status(thm)], ['0', '15'])).
0.51/0.76	tff('17', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), z)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u)),
0.51/0.76	    inference('simplify', [status(thm)], ['16'])).
0.51/0.76	tff('18', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), z))),
0.51/0.76	    inference('sup-', [status(thm)], ['17', '3'])).
0.51/0.76	tff('19', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), u)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), z)),
0.51/0.76	    inference('simplify', [status(thm)], ['18'])).
0.51/0.76	tff(zf_stmt_9, axiom,
0.51/0.76	  (app_encode_app(frac,$o,
0.51/0.76	                  app_encode_app(frac,app_encode_fun(frac,$o),moref,x),y))).
0.51/0.76	tff('20', plain,
0.51/0.76	    app_encode_app(frac, $o, 
0.51/0.76	      app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.51/0.76	tff('21', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0)), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X0))),
0.51/0.76	    inference('sup-', [status(thm)], ['20', '5'])).
0.51/0.76	tff('22', plain,
0.51/0.76	    ![X0 : frac]:
0.51/0.76	      app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X0)),
0.51/0.76	    inference('simplify', [status(thm)], ['21'])).
0.51/0.76	tff(zf_stmt_14, axiom,
0.51/0.76	  (![Xx:frac,Xy:frac,Xz:frac]:
0.51/0.76	     (app_encode_app(frac,$o,
0.51/0.76	                     app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xx),Xy) =>
0.51/0.76	      (app_encode_app(frac,$o,
0.51/0.76	                      app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xy),
0.51/0.76	                      Xz) =>
0.51/0.76	       app_encode_app(frac,$o,
0.51/0.76	                      app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xx),
0.51/0.76	                      Xz))))).
0.51/0.76	tff('23', plain,
0.51/0.76	    ![X6 : frac, X7 : frac, X8 : frac]:
0.51/0.76	      (~ app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, X6), X7)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, X6), X8)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, X7), X8)),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.51/0.76	tff('24', plain,
0.51/0.76	    ![X0 : frac, X1 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	               app_encode_app(frac, frac, 
0.51/0.76	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X0)), 
0.51/0.76	             X1)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	             app_encode_app(frac, frac, 
0.51/0.76	               app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0)), 
0.51/0.76	           X1)),
0.51/0.76	    inference('sup-', [status(thm)], ['22', '23'])).
0.51/0.76	tff('25', plain,
0.51/0.76	    ![X0 : frac, X1 : frac]:
0.51/0.76	      (app_encode_app(frac, $o, 
0.51/0.76	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X0)), 
0.51/0.76	         X1)
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	               app_encode_app(frac, frac, 
0.51/0.76	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X0)), 
0.51/0.76	             X1)),
0.51/0.76	    inference('simplify', [status(thm)], ['24'])).
0.51/0.76	tff('26', plain,
0.51/0.76	    ![X0 : frac, X1 : frac]:
0.51/0.76	      (~ $true
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	               app_encode_app(frac, frac, 
0.51/0.76	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X1)), 
0.51/0.76	             X0)
0.51/0.76	       | app_encode_app(frac, $o, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X1))),
0.51/0.76	    inference('sup-', [status(thm)], ['25', '8'])).
0.51/0.76	tff('27', plain,
0.51/0.76	    ![X0 : frac, X1 : frac]:
0.51/0.76	      (app_encode_app(frac, $o, 
0.51/0.76	         app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), 
0.51/0.76	         app_encode_app(frac, frac, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, frac), pf, y), X1))
0.51/0.76	       | ~ app_encode_app(frac, $o, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.51/0.76	               app_encode_app(frac, frac, 
0.51/0.76	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, x), X1)), 
0.51/0.76	             X0)),
0.51/0.76	    inference('simplify', [status(thm)], ['26'])).
0.51/0.76	tff('28', plain,
0.51/0.76	    (~ $true
0.51/0.76	     | app_encode_app(frac, $o, 
0.51/0.76	         app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	           app_encode_app(frac, frac, 
0.51/0.76	             app_encode_app(frac, app_encode_fun(frac, frac), pf, x), z)), 
0.51/0.76	         app_encode_app(frac, frac, 
0.51/0.76	           app_encode_app(frac, app_encode_fun(frac, frac), pf, y), u))),
0.51/0.76	    inference('sup-', [status(thm)], ['19', '27'])).
0.51/0.76	tff('29', plain,
0.51/0.76	    app_encode_app(frac, $o, 
0.51/0.76	      app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, x), z)), 
0.51/0.76	      app_encode_app(frac, frac, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, frac), pf, y), u)),
0.51/0.76	    inference('simplify', [status(thm)], ['28'])).
0.51/0.76	tff(zf_stmt_20, conjecture,
0.51/0.76	  (app_encode_app(frac,$o,
0.51/0.76	                  app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.51/0.76	                                 app_encode_app(frac,frac,
0.51/0.76	                                                app_encode_app(frac,
0.51/0.76	                                                               app_encode_fun(
0.51/0.76	                                                               frac,frac),pf,
0.51/0.76	                                                               x),
0.51/0.76	                                                z)),
0.51/0.76	                  app_encode_app(frac,frac,
0.51/0.76	                                 app_encode_app(frac,
0.51/0.76	                                                app_encode_fun(frac,frac),pf,
0.51/0.76	                                                y),
0.51/0.76	                                 u)))).
0.51/0.76	tff(zf_stmt_0, negated_conjecture,
0.51/0.76	  (~
0.51/0.76	    app_encode_app(frac,$o,
0.51/0.76	                   app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.51/0.76	                                  app_encode_app(frac,frac,
0.51/0.76	                                                 app_encode_app(frac,
0.51/0.76	                                                                app_encode_fun(
0.51/0.76	                                                                frac,frac),
0.51/0.76	                                                                pf,x),
0.51/0.76	                                                 z)),
0.51/0.76	                   app_encode_app(frac,frac,
0.51/0.76	                                  app_encode_app(frac,
0.51/0.76	                                                 app_encode_fun(frac,frac),
0.51/0.76	                                                 pf,y),
0.51/0.76	                                  u)))).
0.51/0.76	tff('30', plain,
0.51/0.76	    ~ app_encode_app(frac, $o, 
0.51/0.76	        app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.51/0.76	          app_encode_app(frac, frac, 
0.51/0.76	            app_encode_app(frac, app_encode_fun(frac, frac), pf, x), z)), 
0.51/0.76	        app_encode_app(frac, frac, 
0.51/0.76	          app_encode_app(frac, app_encode_fun(frac, frac), pf, y), u)),
0.51/0.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.51/0.76	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['29', '30'])).
0.51/0.76	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
0.51/0.76	
0.51/0.76	% SZS output end Refutation
0.51/0.76	EOF
