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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n126.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:54:53 CST 2018
0.00/0.55	% done 131 iterations in 0.350s
0.00/0.55	% SZS status Theorem for 'stdin'
0.00/0.55	% SZS output start Refutation
0.00/0.56	tff(zf_stmt_18, axiom,
0.00/0.56	  (![Xx:frac,Xy:frac]:
0.00/0.56	     app_encode_app(frac,$o,
0.00/0.56	                    app_encode_app(frac,app_encode_fun(frac,$o),eq,
0.00/0.56	                                   app_encode_app(frac,frac,
0.00/0.56	                                                  app_encode_app(frac,
0.00/0.56	                                                                 app_encode_fun(
0.00/0.56	                                                                 frac,frac),
0.00/0.56	                                                                 pf,Xx),
0.00/0.56	                                                  Xy)),
0.00/0.56	                    app_encode_app(frac,frac,
0.00/0.56	                                   app_encode_app(frac,
0.00/0.56	                                                  app_encode_fun(frac,frac),
0.00/0.56	                                                  pf,Xy),
0.00/0.56	                                   Xx)))).
0.00/0.56	tff('0', plain,
0.00/0.56	    ![X14 : frac, X15 : frac]:
0.00/0.56	      app_encode_app(frac, $o, 
0.00/0.56	        app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.00/0.56	          app_encode_app(frac, frac, 
0.00/0.56	            app_encode_app(frac, app_encode_fun(frac, frac), pf, X14), X15)), 
0.00/0.56	        app_encode_app(frac, frac, 
0.00/0.56	          app_encode_app(frac, app_encode_fun(frac, frac), pf, X15), X14)),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_18])).
0.00/0.56	tff(zf_stmt_17, axiom,
0.00/0.56	  (![Xx:frac,Xy:frac,Xz:frac]:
0.00/0.56	     (app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.00/0.56	      app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.56	                                    app_encode_app(frac,frac,
0.00/0.56	                                                   app_encode_app(frac,
0.00/0.56	                                                                  app_encode_fun(
0.00/0.56	                                                                  frac,frac),
0.00/0.56	                                                                  pf,Xx),
0.00/0.56	                                                   Xz)),
0.00/0.56	                     app_encode_app(frac,frac,
0.00/0.56	                                    app_encode_app(frac,
0.00/0.56	                                                   app_encode_fun(frac,frac),
0.00/0.56	                                                   pf,Xy),
0.00/0.56	                                    Xz))))).
0.00/0.56	tff('1', plain,
0.00/0.56	    ![X11 : frac, X12 : frac, X13 : frac]:
0.00/0.56	      (~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X11), X12)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X11), 
0.00/0.56	               X13)), 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X12), X13))),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_17])).
0.00/0.56	tff(zf_stmt_16, axiom,
0.00/0.56	  (![Xx:frac,Xy:frac,Xz:frac,Xu:frac]:
0.00/0.56	     (app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.00/0.56	      (app_encode_app(frac,$o,
0.00/0.56	                      app_encode_app(frac,app_encode_fun(frac,$o),eq,Xx),Xz) =>
0.00/0.56	       (app_encode_app(frac,$o,
0.00/0.56	                       app_encode_app(frac,app_encode_fun(frac,$o),eq,Xy),Xu) =>
0.00/0.56	        app_encode_app(frac,$o,
0.00/0.56	                       app_encode_app(frac,app_encode_fun(frac,$o),moref,Xz),
0.00/0.56	                       Xu)))))).
0.00/0.56	tff('2', plain,
0.00/0.56	    ![X7 : frac, X8 : frac, X9 : frac, X10 : frac]:
0.00/0.56	      (~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), eq, X7), X8)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X7), X9)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X9), X10)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, X8), X10)),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_16])).
0.00/0.56	tff('3', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	           X2)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X3), X2)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	               app_encode_app(frac, frac, 
0.00/0.56	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), 
0.00/0.56	                 X1)), X3)),
0.00/0.56	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.56	tff('4', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), X1)), 
0.00/0.56	           X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), eq, X3), X2)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	           X2)),
0.00/0.56	    inference('simplify', [status(thm)], ['3'])).
0.00/0.56	tff('5', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X1)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), X2)), 
0.00/0.56	           X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.00/0.56	               app_encode_app(frac, frac, 
0.00/0.56	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), 
0.00/0.56	                 X0)), X3)),
0.00/0.56	    inference('sup-', [status(thm)], ['1', '4'])).
0.00/0.56	tff('6', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), eq, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	           X3)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X0), X2)), 
0.00/0.56	           X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X1)),
0.00/0.56	    inference('simplify', [status(thm)], ['5'])).
0.00/0.56	tff('7', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X0)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X2)), 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0))),
0.00/0.56	    inference('sup-', [status(thm)], ['0', '6'])).
0.00/0.56	tff('8', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X2)), 
0.00/0.56	         app_encode_app(frac, frac, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0))
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X0)),
0.00/0.56	    inference('simplify', [status(thm)], ['7'])).
0.00/0.56	tff(zf_stmt_14, axiom,
0.00/0.56	  (![Xx:frac,Xy:frac]:
0.00/0.56	     (app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xx),Xy) =>
0.00/0.56	      app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xy),Xx)))).
0.00/0.56	tff('9', plain,
0.00/0.56	    ![X5 : frac, X6 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, X5), X6)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X6), X5)),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.56	tff('10', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X0)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X2))),
0.00/0.56	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.56	tff('11', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	         app_encode_app(frac, frac, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X2))
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X0)),
0.00/0.56	    inference('simplify', [status(thm)], ['10'])).
0.00/0.56	tff('12', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X1)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X0))),
0.00/0.56	    inference('sup-', [status(thm)], ['1', '9'])).
0.00/0.56	tff('13', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	         app_encode_app(frac, frac, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X0))
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X2), X1)),
0.00/0.56	    inference('simplify', [status(thm)], ['12'])).
0.00/0.56	tff(zf_stmt_13, axiom,
0.00/0.56	  (![Xx:frac,Xy:frac,Xz:frac]:
0.00/0.56	     (app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xx),Xy) =>
0.00/0.56	      (app_encode_app(frac,$o,
0.00/0.56	                      app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xy),
0.00/0.56	                      Xz) =>
0.00/0.56	       app_encode_app(frac,$o,
0.00/0.56	                      app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xx),
0.00/0.56	                      Xz))))).
0.00/0.56	tff('14', plain,
0.00/0.56	    ![X2 : frac, X3 : frac, X4 : frac]:
0.00/0.56	      (~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, X2), X3)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, X2), X4)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, X3), X4)),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.56	tff('15', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X2)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	               app_encode_app(frac, frac, 
0.00/0.56	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), 
0.00/0.56	                 X0)), X3)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X0)), 
0.00/0.56	           X3)),
0.00/0.56	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.56	tff('16', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X2), X0)), 
0.00/0.56	         X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	               app_encode_app(frac, frac, 
0.00/0.56	                 app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), 
0.00/0.56	                 X0)), X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X2)),
0.00/0.56	    inference('simplify', [status(thm)], ['15'])).
0.00/0.56	tff('17', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), X2)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X3)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X3), X2)), 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0))),
0.00/0.56	    inference('sup-', [status(thm)], ['11', '16'])).
0.00/0.56	tff('18', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), lessf, 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X3), X2)), 
0.00/0.56	         app_encode_app(frac, frac, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0))
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), X2)),
0.00/0.56	    inference('simplify', [status(thm)], ['17'])).
0.00/0.56	tff(zf_stmt_12, axiom,
0.00/0.56	  (![Xx:frac,Xy:frac]:
0.00/0.56	     (app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),lessf,Xx),Xy) =>
0.00/0.56	      app_encode_app(frac,$o,
0.00/0.56	                     app_encode_app(frac,app_encode_fun(frac,$o),moref,Xy),Xx)))).
0.00/0.56	tff('19', plain,
0.00/0.56	    ![X0 : frac, X1 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), X1)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), lessf, X1), X0)),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.56	tff('20', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (~ $true
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), X2)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X3)
0.00/0.56	       | app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	             app_encode_app(frac, frac, 
0.00/0.56	               app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X3), X2))),
0.00/0.56	    inference('sup-', [status(thm)], ['18', '19'])).
0.00/0.56	tff('21', plain,
0.00/0.56	    ![X0 : frac, X1 : frac, X2 : frac, X3 : frac]:
0.00/0.56	      (app_encode_app(frac, $o, 
0.00/0.56	         app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	           app_encode_app(frac, frac, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, frac), pf, X1), X0)), 
0.00/0.56	         app_encode_app(frac, frac, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, frac), pf, X3), X2))
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X1), X3)
0.00/0.56	       | ~ app_encode_app(frac, $o, 
0.00/0.56	             app_encode_app(frac, app_encode_fun(frac, $o), moref, X0), X2)),
0.00/0.56	    inference('simplify', [status(thm)], ['20'])).
0.00/0.56	tff(zf_stmt_19, conjecture,
0.00/0.56	  (app_encode_app(frac,$o,
0.00/0.56	                  app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.56	                                 app_encode_app(frac,frac,
0.00/0.56	                                                app_encode_app(frac,
0.00/0.56	                                                               app_encode_fun(
0.00/0.56	                                                               frac,frac),pf,
0.00/0.56	                                                               x),
0.00/0.56	                                                z)),
0.00/0.56	                  app_encode_app(frac,frac,
0.00/0.56	                                 app_encode_app(frac,
0.00/0.56	                                                app_encode_fun(frac,frac),pf,
0.00/0.56	                                                y),
0.00/0.56	                                 u)))).
0.00/0.56	tff(zf_stmt_0, negated_conjecture,
0.00/0.56	  (~
0.00/0.56	    app_encode_app(frac,$o,
0.00/0.56	                   app_encode_app(frac,app_encode_fun(frac,$o),moref,
0.00/0.56	                                  app_encode_app(frac,frac,
0.00/0.56	                                                 app_encode_app(frac,
0.00/0.56	                                                                app_encode_fun(
0.00/0.56	                                                                frac,frac),
0.00/0.56	                                                                pf,x),
0.00/0.56	                                                 z)),
0.00/0.56	                   app_encode_app(frac,frac,
0.00/0.56	                                  app_encode_app(frac,
0.00/0.56	                                                 app_encode_fun(frac,frac),
0.00/0.56	                                                 pf,y),
0.00/0.56	                                  u)))).
0.00/0.56	tff('22', plain,
0.00/0.56	    ~ app_encode_app(frac, $o, 
0.00/0.56	        app_encode_app(frac, app_encode_fun(frac, $o), moref, 
0.00/0.56	          app_encode_app(frac, frac, 
0.00/0.56	            app_encode_app(frac, app_encode_fun(frac, frac), pf, x), z)), 
0.00/0.56	        app_encode_app(frac, frac, 
0.00/0.56	          app_encode_app(frac, app_encode_fun(frac, frac), pf, y), u)),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.56	tff('23', plain,
0.00/0.56	    (~ $true
0.00/0.56	     | ~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u)
0.00/0.56	     | ~ app_encode_app(frac, $o, 
0.00/0.56	           app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y)),
0.00/0.56	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.56	tff(zf_stmt_9, axiom,
0.00/0.56	  (app_encode_app(frac,$o,
0.00/0.56	                  app_encode_app(frac,app_encode_fun(frac,$o),moref,z),u))).
0.00/0.56	tff('24', plain,
0.00/0.56	    app_encode_app(frac, $o, 
0.00/0.56	      app_encode_app(frac, app_encode_fun(frac, $o), moref, z), u),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.56	tff(zf_stmt_8, axiom,
0.00/0.56	  (app_encode_app(frac,$o,
0.00/0.56	                  app_encode_app(frac,app_encode_fun(frac,$o),moref,x),y))).
0.00/0.56	tff('25', plain,
0.00/0.56	    app_encode_app(frac, $o, 
0.00/0.56	      app_encode_app(frac, app_encode_fun(frac, $o), moref, x), y),
0.00/0.56	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.56	tff('26', plain, (~ $true | ~ $true | ~ $true),
0.00/0.56	    inference('demod', [status(thm)], ['23', '24', '25'])).
0.00/0.56	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
0.00/0.56	
0.00/0.56	% SZS output end Refutation
0.00/0.56	EOF
