0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n158.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:37:08 CST 2018
0.00/0.24	% done 65 iterations in 0.032s
0.00/0.24	% SZS status Theorem for 'stdin'
0.00/0.24	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_9, conjecture,
0.00/0.25	  ((![Xx:a]:
0.00/0.25	      (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xx) =>
0.00/0.25	       app_encode_app(b,$o,
0.00/0.25	                      app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                     app_encode_app(a,
0.00/0.25	                                                    app_encode_fun(b,
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   b,$o)),
0.00/0.25	                                                    cQ,Xx),
0.00/0.25	                                     app_encode_app(a,b,f,Xx)),
0.00/0.25	                      app_encode_app(a,b,g,Xx)))) =>
0.00/0.25	   ((![Xx:a,Xy:a]:
0.00/0.25	       (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.25	        app_encode_app(b,$o,
0.00/0.25	                       app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                      app_encode_app(a,
0.00/0.25	                                                     app_encode_fun(b,
0.00/0.25	                                                                    app_encode_fun(
0.00/0.25	                                                                    b,$o)),
0.00/0.25	                                                     cQ,Xx),
0.00/0.25	                                      app_encode_app(a,b,f,Xx)),
0.00/0.25	                       app_encode_app(a,b,f,Xy)))) =>
0.00/0.25	    (((![Xx:a,Xy:a]:
0.00/0.25	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.25	          app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xy),Xx))) & 
0.00/0.25	      (![Xx:a,Xy:a,Xz:a]:
0.00/0.25	         ((app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.25	                          Xy) & 
0.00/0.25	           app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xy),
0.00/0.25	                          Xz)) =>
0.00/0.25	          app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xz)))) =>
0.00/0.25	     (((![Xx:a]:
0.00/0.25	          (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.25	                          Xx) =>
0.00/0.25	           ((![Xx0:b,Xy:b]:
0.00/0.25	               (app_encode_app(b,$o,
0.00/0.25	                               app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                              app_encode_app(a,
0.00/0.25	                                                             app_encode_fun(
0.00/0.25	                                                             b,
0.00/0.25	                                                             app_encode_fun(
0.00/0.25	                                                             b,$o)),cQ,Xx),
0.00/0.25	                                              Xx0),
0.00/0.25	                               Xy) =>
0.00/0.25	                app_encode_app(b,$o,
0.00/0.25	                               app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                              app_encode_app(a,
0.00/0.25	                                                             app_encode_fun(
0.00/0.25	                                                             b,
0.00/0.25	                                                             app_encode_fun(
0.00/0.25	                                                             b,$o)),cQ,Xx),
0.00/0.25	                                              Xy),
0.00/0.25	                               Xx0))) & 
0.00/0.25	            (![Xx0:b,Xy:b,Xz:b]:
0.00/0.25	               ((app_encode_app(b,$o,
0.00/0.25	                                app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                               app_encode_app(a,
0.00/0.25	                                                              app_encode_fun(
0.00/0.25	                                                              b,
0.00/0.25	                                                              app_encode_fun(
0.00/0.25	                                                              b,$o)),cQ,Xx),
0.00/0.25	                                               Xx0),
0.00/0.25	                                Xy) & 
0.00/0.25	                 app_encode_app(b,$o,
0.00/0.25	                                app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                               app_encode_app(a,
0.00/0.25	                                                              app_encode_fun(
0.00/0.25	                                                              b,
0.00/0.25	                                                              app_encode_fun(
0.00/0.25	                                                              b,$o)),cQ,Xx),
0.00/0.25	                                               Xy),
0.00/0.25	                                Xz)) =>
0.00/0.25	                app_encode_app(b,$o,
0.00/0.25	                               app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                              app_encode_app(a,
0.00/0.25	                                                             app_encode_fun(
0.00/0.25	                                                             b,
0.00/0.25	                                                             app_encode_fun(
0.00/0.25	                                                             b,$o)),cQ,Xx),
0.00/0.25	                                              Xx0),
0.00/0.25	                               Xz)))))) & 
0.00/0.25	       (![Xx:a,Xy:a]:
0.00/0.25	          (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.25	                          Xy) =>
0.00/0.25	           (app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xx) =
0.00/0.25	            app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xy))))) =>
0.00/0.25	      (![Xx:a,Xy:a]:
0.00/0.25	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.25	          app_encode_app(b,$o,
0.00/0.25	                         app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                        app_encode_app(a,
0.00/0.25	                                                       app_encode_fun(
0.00/0.25	                                                       b,app_encode_fun(b,$o)),
0.00/0.25	                                                       cQ,Xx),
0.00/0.25	                                        app_encode_app(a,b,f,Xx)),
0.00/0.25	                         app_encode_app(a,b,g,Xy))))))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    ((![Xx:a]:
0.00/0.25	        (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xx) =>
0.00/0.25	         app_encode_app(b,$o,
0.00/0.25	                        app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                       app_encode_app(a,
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      b,app_encode_fun(b,$o)),
0.00/0.25	                                                      cQ,Xx),
0.00/0.25	                                       app_encode_app(a,b,f,Xx)),
0.00/0.25	                        app_encode_app(a,b,g,Xx)))) =>
0.00/0.25	     ((![Xx:a,Xy:a]:
0.00/0.25	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.25	          app_encode_app(b,$o,
0.00/0.25	                         app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                        app_encode_app(a,
0.00/0.25	                                                       app_encode_fun(
0.00/0.25	                                                       b,app_encode_fun(b,$o)),
0.00/0.25	                                                       cQ,Xx),
0.00/0.25	                                        app_encode_app(a,b,f,Xx)),
0.00/0.25	                         app_encode_app(a,b,f,Xy)))) =>
0.00/0.25	      (((![Xx:a,Xy:a]:
0.00/0.25	           (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.25	                           Xy) =>
0.00/0.25	            app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xy),
0.00/0.25	                           Xx))) & 
0.00/0.25	        (![Xx:a,Xy:a,Xz:a]:
0.00/0.25	           ((app_encode_app(a,$o,
0.00/0.25	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) & 
0.00/0.25	             app_encode_app(a,$o,
0.00/0.25	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xy),Xz)) =>
0.00/0.25	            app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.25	                           Xz)))) =>
0.00/0.25	       (((![Xx:a]:
0.00/0.25	            (app_encode_app(a,$o,
0.00/0.25	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xx) =>
0.00/0.25	             ((![Xx0:b,Xy:b]:
0.00/0.25	                 (app_encode_app(b,$o,
0.00/0.25	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                                app_encode_app(a,
0.00/0.25	                                                               app_encode_fun(
0.00/0.25	                                                               b,
0.00/0.25	                                                               app_encode_fun(
0.00/0.25	                                                               b,$o)),cQ,Xx),
0.00/0.25	                                                Xx0),
0.00/0.25	                                 Xy) =>
0.00/0.25	                  app_encode_app(b,$o,
0.00/0.25	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                                app_encode_app(a,
0.00/0.25	                                                               app_encode_fun(
0.00/0.25	                                                               b,
0.00/0.25	                                                               app_encode_fun(
0.00/0.25	                                                               b,$o)),cQ,Xx),
0.00/0.25	                                                Xy),
0.00/0.25	                                 Xx0))) & 
0.00/0.25	              (![Xx0:b,Xy:b,Xz:b]:
0.00/0.25	                 ((app_encode_app(b,$o,
0.00/0.25	                                  app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                                 app_encode_app(a,
0.00/0.25	                                                                app_encode_fun(
0.00/0.25	                                                                b,
0.00/0.25	                                                                app_encode_fun(
0.00/0.25	                                                                b,$o)),cQ,Xx),
0.00/0.25	                                                 Xx0),
0.00/0.25	                                  Xy) & 
0.00/0.25	                   app_encode_app(b,$o,
0.00/0.25	                                  app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                                 app_encode_app(a,
0.00/0.25	                                                                app_encode_fun(
0.00/0.25	                                                                b,
0.00/0.25	                                                                app_encode_fun(
0.00/0.25	                                                                b,$o)),cQ,Xx),
0.00/0.25	                                                 Xy),
0.00/0.25	                                  Xz)) =>
0.00/0.25	                  app_encode_app(b,$o,
0.00/0.25	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                                app_encode_app(a,
0.00/0.25	                                                               app_encode_fun(
0.00/0.25	                                                               b,
0.00/0.25	                                                               app_encode_fun(
0.00/0.25	                                                               b,$o)),cQ,Xx),
0.00/0.25	                                                Xx0),
0.00/0.25	                                 Xz)))))) & 
0.00/0.25	         (![Xx:a,Xy:a]:
0.00/0.25	            (app_encode_app(a,$o,
0.00/0.25	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.25	             (app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xx) =
0.00/0.25	              app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xy))))) =>
0.00/0.25	        (![Xx:a,Xy:a]:
0.00/0.25	           (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.25	                           Xy) =>
0.00/0.25	            app_encode_app(b,$o,
0.00/0.25	                           app_encode_app(b,app_encode_fun(b,$o),
0.00/0.25	                                          app_encode_app(a,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         b,
0.00/0.25	                                                         app_encode_fun(b,$o)),
0.00/0.25	                                                         cQ,Xx),
0.00/0.25	                                          app_encode_app(a,b,f,Xx)),
0.00/0.25	                           app_encode_app(a,b,g,Xy)))))))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    app_encode_app(a, $o, 
0.00/0.25	      app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xy),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('1', plain,
0.00/0.25	    ![X5 : a, X6 : a]:
0.00/0.25	      (app_encode_app(a, $o, 
0.00/0.25	         app_encode_app(a, app_encode_fun(a, $o), cP, X5), X6)
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, X6), X5)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('2', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(a, $o, 
0.00/0.25	         app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), sk_Xx)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.25	tff('3', plain,
0.00/0.25	    app_encode_app(a, $o, 
0.00/0.25	      app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), sk_Xx),
0.00/0.25	    inference('simplify', [status(thm)], ['2'])).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X7 : a, X8 : a, X9 : a]:
0.00/0.25	      (~ app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, X7), X8)
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, X8), X9)
0.00/0.25	       | app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, X7), X9)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X0 : a]:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0 : a]:
0.00/0.25	      (~ app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)
0.00/0.25	       | app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['5'])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X4 : a]:
0.00/0.25	      (app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             X4), app_encode_app(a, b, f, X4)), app_encode_app(a, b, g, X4))
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, X4), X4)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('8', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xy)
0.00/0.25	     | app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             sk_Xy), app_encode_app(a, b, f, sk_Xy)), 
0.00/0.25	         app_encode_app(a, b, g, sk_Xy))),
0.00/0.25	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    ![X10 : a, X11 : a]:
0.00/0.25	      (app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, X11)
0.00/0.25	        = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	            X10)
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, X11), X10)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('10', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, sk_Xx)
0.00/0.25	        = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	            sk_Xy)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.25	tff('11', plain,
0.00/0.25	    app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, sk_Xx)
0.00/0.25	     = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, sk_Xy),
0.00/0.25	    inference('simplify', [status(thm)], ['10'])).
0.00/0.25	tff('12', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ $true
0.00/0.25	     | app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             sk_Xx), app_encode_app(a, b, f, sk_Xy)), 
0.00/0.25	         app_encode_app(a, b, g, sk_Xy))),
0.00/0.25	    inference('demod', [status(thm)], ['8', '0', '11'])).
0.00/0.25	tff('13', plain,
0.00/0.25	    app_encode_app(b, $o, 
0.00/0.25	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	          sk_Xx), app_encode_app(a, b, f, sk_Xy)), 
0.00/0.25	      app_encode_app(a, b, g, sk_Xy)),
0.00/0.25	    inference('simplify', [status(thm)], ['12'])).
0.00/0.25	tff('14', plain,
0.00/0.25	    ![X12 : a, X15 : b, X16 : b, X17 : b]:
0.00/0.25	      (app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             X12), X15), X16)
0.00/0.25	       | ~ app_encode_app(b, $o, 
0.00/0.25	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.25	                 cQ, X12), X17), X16)
0.00/0.25	       | ~ app_encode_app(b, $o, 
0.00/0.25	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.25	                 cQ, X12), X15), X17)
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, X12), X12)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('15', plain,
0.00/0.25	    ![X0 : b]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xx)
0.00/0.25	       | ~ app_encode_app(b, $o, 
0.00/0.25	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.25	                 cQ, sk_Xx), X0), app_encode_app(a, b, f, sk_Xy))
0.00/0.25	       | app_encode_app(b, $o, 
0.00/0.25	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	               sk_Xx), X0), app_encode_app(a, b, g, sk_Xy))),
0.00/0.25	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.25	tff('16', plain,
0.00/0.25	    ![X0 : a]:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.25	tff('17', plain,
0.00/0.25	    ![X0 : a]:
0.00/0.25	      (~ app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)
0.00/0.25	       | app_encode_app(a, $o, 
0.00/0.25	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)),
0.00/0.25	    inference('simplify', [status(thm)], ['16'])).
0.00/0.25	tff('18', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(a, $o, 
0.00/0.25	         app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xx)),
0.00/0.25	    inference('sup-', [status(thm)], ['3', '17'])).
0.00/0.25	tff('19', plain,
0.00/0.25	    app_encode_app(a, $o, 
0.00/0.25	      app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xx),
0.00/0.25	    inference('simplify', [status(thm)], ['18'])).
0.00/0.25	tff('20', plain,
0.00/0.25	    ![X0 : b]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ $true
0.00/0.25	       | ~ app_encode_app(b, $o, 
0.00/0.25	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.25	                 cQ, sk_Xx), X0), app_encode_app(a, b, f, sk_Xy))
0.00/0.25	       | app_encode_app(b, $o, 
0.00/0.25	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	               sk_Xx), X0), app_encode_app(a, b, g, sk_Xy))),
0.00/0.25	    inference('demod', [status(thm)], ['15', '19'])).
0.00/0.25	tff('21', plain,
0.00/0.25	    ![X0 : b]:
0.00/0.25	      (app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             sk_Xx), X0), app_encode_app(a, b, g, sk_Xy))
0.00/0.25	       | ~ app_encode_app(b, $o, 
0.00/0.25	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.25	                 cQ, sk_Xx), X0), app_encode_app(a, b, f, sk_Xy))),
0.00/0.25	    inference('simplify', [status(thm)], ['20'])).
0.00/0.25	tff('22', plain,
0.00/0.25	    ~ app_encode_app(b, $o, 
0.00/0.25	        app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	          app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	            sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.25	        app_encode_app(a, b, g, sk_Xy)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('23', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app(b, $o, 
0.00/0.25	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	               sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.25	           app_encode_app(a, b, f, sk_Xy))),
0.00/0.25	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.25	tff('24', plain,
0.00/0.25	    ![X18 : a, X19 : a]:
0.00/0.25	      (app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             X18), app_encode_app(a, b, f, X18)), 
0.00/0.25	         app_encode_app(a, b, f, X19))
0.00/0.25	       | ~ app_encode_app(a, $o, 
0.00/0.25	             app_encode_app(a, app_encode_fun(a, $o), cP, X18), X19)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('25', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app(b, $o, 
0.00/0.25	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	             sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.25	         app_encode_app(a, b, f, sk_Xy))),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '24'])).
0.00/0.25	tff('26', plain,
0.00/0.25	    app_encode_app(b, $o, 
0.00/0.25	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.25	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.25	          sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.25	      app_encode_app(a, b, f, sk_Xy)),
0.00/0.25	    inference('simplify', [status(thm)], ['25'])).
0.00/0.25	tff('27', plain, (~ $true | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['23', '26'])).
0.00/0.25	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
