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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n170.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:37:09 CST 2018
0.00/0.23	% done 62 iterations in 0.030s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_8, conjecture,
0.00/0.23	  ((![Xx:a]:
0.00/0.23	      (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xx) =>
0.00/0.23	       app_encode_app(b,$o,
0.00/0.23	                      app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                     app_encode_app(a,
0.00/0.23	                                                    app_encode_fun(b,
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   b,$o)),
0.00/0.23	                                                    cQ,Xx),
0.00/0.23	                                     app_encode_app(a,b,f,Xx)),
0.00/0.23	                      app_encode_app(a,b,g,Xx)))) =>
0.00/0.23	   ((![Xx:a,Xy:a]:
0.00/0.23	       (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.23	        app_encode_app(b,$o,
0.00/0.23	                       app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                      app_encode_app(a,
0.00/0.23	                                                     app_encode_fun(b,
0.00/0.23	                                                                    app_encode_fun(
0.00/0.23	                                                                    b,$o)),
0.00/0.23	                                                     cQ,Xx),
0.00/0.23	                                      app_encode_app(a,b,f,Xx)),
0.00/0.23	                       app_encode_app(a,b,f,Xy)))) =>
0.00/0.23	    (((![Xx:a,Xy:a]:
0.00/0.23	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.23	          app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xy),Xx))) & 
0.00/0.23	      (![Xx:a,Xy:a,Xz:a]:
0.00/0.23	         ((app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.23	                          Xy) & 
0.00/0.23	           app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xy),
0.00/0.23	                          Xz)) =>
0.00/0.23	          app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xz)))) =>
0.00/0.23	     (((![Xx:a]:
0.00/0.23	          (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.23	                          Xx) =>
0.00/0.23	           ((![Xx0:b,Xy:b]:
0.00/0.23	               (app_encode_app(b,$o,
0.00/0.23	                               app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                              app_encode_app(a,
0.00/0.23	                                                             app_encode_fun(
0.00/0.23	                                                             b,
0.00/0.23	                                                             app_encode_fun(
0.00/0.23	                                                             b,$o)),cQ,Xx),
0.00/0.23	                                              Xx0),
0.00/0.23	                               Xy) =>
0.00/0.23	                app_encode_app(b,$o,
0.00/0.23	                               app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                              app_encode_app(a,
0.00/0.23	                                                             app_encode_fun(
0.00/0.23	                                                             b,
0.00/0.23	                                                             app_encode_fun(
0.00/0.23	                                                             b,$o)),cQ,Xx),
0.00/0.23	                                              Xy),
0.00/0.23	                               Xx0))) & 
0.00/0.23	            (![Xx0:b,Xy:b,Xz:b]:
0.00/0.23	               ((app_encode_app(b,$o,
0.00/0.23	                                app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                               app_encode_app(a,
0.00/0.23	                                                              app_encode_fun(
0.00/0.23	                                                              b,
0.00/0.23	                                                              app_encode_fun(
0.00/0.23	                                                              b,$o)),cQ,Xx),
0.00/0.23	                                               Xx0),
0.00/0.23	                                Xy) & 
0.00/0.23	                 app_encode_app(b,$o,
0.00/0.23	                                app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                               app_encode_app(a,
0.00/0.23	                                                              app_encode_fun(
0.00/0.23	                                                              b,
0.00/0.23	                                                              app_encode_fun(
0.00/0.23	                                                              b,$o)),cQ,Xx),
0.00/0.23	                                               Xy),
0.00/0.23	                                Xz)) =>
0.00/0.23	                app_encode_app(b,$o,
0.00/0.23	                               app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                              app_encode_app(a,
0.00/0.23	                                                             app_encode_fun(
0.00/0.23	                                                             b,
0.00/0.23	                                                             app_encode_fun(
0.00/0.23	                                                             b,$o)),cQ,Xx),
0.00/0.23	                                              Xx0),
0.00/0.23	                               Xz)))))) & 
0.00/0.23	       (![Xx:a,Xy:a]:
0.00/0.23	          (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.23	                          Xy) =>
0.00/0.23	           (app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xx) =
0.00/0.23	            app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xy))))) =>
0.00/0.23	      (![Xx:a,Xy:a]:
0.00/0.23	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.23	          app_encode_app(b,$o,
0.00/0.23	                         app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                        app_encode_app(a,
0.00/0.23	                                                       app_encode_fun(
0.00/0.23	                                                       b,app_encode_fun(b,$o)),
0.00/0.23	                                                       cQ,Xx),
0.00/0.23	                                        app_encode_app(a,b,f,Xx)),
0.00/0.23	                         app_encode_app(a,b,g,Xy))))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    ((![Xx:a]:
0.00/0.23	        (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xx) =>
0.00/0.23	         app_encode_app(b,$o,
0.00/0.23	                        app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                       app_encode_app(a,
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      b,app_encode_fun(b,$o)),
0.00/0.23	                                                      cQ,Xx),
0.00/0.23	                                       app_encode_app(a,b,f,Xx)),
0.00/0.23	                        app_encode_app(a,b,g,Xx)))) =>
0.00/0.23	     ((![Xx:a,Xy:a]:
0.00/0.23	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.23	          app_encode_app(b,$o,
0.00/0.23	                         app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                        app_encode_app(a,
0.00/0.23	                                                       app_encode_fun(
0.00/0.23	                                                       b,app_encode_fun(b,$o)),
0.00/0.23	                                                       cQ,Xx),
0.00/0.23	                                        app_encode_app(a,b,f,Xx)),
0.00/0.23	                         app_encode_app(a,b,f,Xy)))) =>
0.00/0.23	      (((![Xx:a,Xy:a]:
0.00/0.23	           (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.23	                           Xy) =>
0.00/0.23	            app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xy),
0.00/0.23	                           Xx))) & 
0.00/0.23	        (![Xx:a,Xy:a,Xz:a]:
0.00/0.23	           ((app_encode_app(a,$o,
0.00/0.23	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) & 
0.00/0.23	             app_encode_app(a,$o,
0.00/0.23	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xy),Xz)) =>
0.00/0.23	            app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.23	                           Xz)))) =>
0.00/0.23	       (((![Xx:a]:
0.00/0.23	            (app_encode_app(a,$o,
0.00/0.23	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xx) =>
0.00/0.23	             ((![Xx0:b,Xy:b]:
0.00/0.23	                 (app_encode_app(b,$o,
0.00/0.23	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                                app_encode_app(a,
0.00/0.23	                                                               app_encode_fun(
0.00/0.23	                                                               b,
0.00/0.23	                                                               app_encode_fun(
0.00/0.23	                                                               b,$o)),cQ,Xx),
0.00/0.23	                                                Xx0),
0.00/0.23	                                 Xy) =>
0.00/0.23	                  app_encode_app(b,$o,
0.00/0.23	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                                app_encode_app(a,
0.00/0.23	                                                               app_encode_fun(
0.00/0.23	                                                               b,
0.00/0.23	                                                               app_encode_fun(
0.00/0.23	                                                               b,$o)),cQ,Xx),
0.00/0.23	                                                Xy),
0.00/0.23	                                 Xx0))) & 
0.00/0.23	              (![Xx0:b,Xy:b,Xz:b]:
0.00/0.23	                 ((app_encode_app(b,$o,
0.00/0.23	                                  app_encode_app(b,app_encode_fun(b,$o),
0.00/0.23	                                                 app_encode_app(a,
0.00/0.23	                                                                app_encode_fun(
0.00/0.23	                                                                b,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,$o)),cQ,Xx),
0.00/0.24	                                                 Xx0),
0.00/0.24	                                  Xy) & 
0.00/0.24	                   app_encode_app(b,$o,
0.00/0.24	                                  app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                 app_encode_app(a,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,$o)),cQ,Xx),
0.00/0.24	                                                 Xy),
0.00/0.24	                                  Xz)) =>
0.00/0.24	                  app_encode_app(b,$o,
0.00/0.24	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                app_encode_app(a,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,$o)),cQ,Xx),
0.00/0.24	                                                Xx0),
0.00/0.24	                                 Xz)))))) & 
0.00/0.24	         (![Xx:a,Xy:a]:
0.00/0.24	            (app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),cP,Xx),Xy) =>
0.00/0.24	             (app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xx) =
0.00/0.24	              app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),cQ,Xy))))) =>
0.00/0.24	        (![Xx:a,Xy:a]:
0.00/0.24	           (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),cP,Xx),
0.00/0.24	                           Xy) =>
0.00/0.24	            app_encode_app(b,$o,
0.00/0.24	                           app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                          app_encode_app(a,
0.00/0.24	                                                         app_encode_fun(
0.00/0.24	                                                         b,
0.00/0.24	                                                         app_encode_fun(b,$o)),
0.00/0.24	                                                         cQ,Xx),
0.00/0.24	                                          app_encode_app(a,b,f,Xx)),
0.00/0.24	                           app_encode_app(a,b,g,Xy)))))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    app_encode_app(a, $o, 
0.00/0.24	      app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xy),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X1 : a, X2 : a]:
0.00/0.24	      (app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), cP, X1), X2)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, X2), X1)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    app_encode_app(a, $o, 
0.00/0.24	      app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), sk_Xx),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X3 : a, X4 : a, X5 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, X3), X4)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, X4), X5)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, X3), X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             X0), app_encode_app(a, b, f, X0)), app_encode_app(a, b, g, X0))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, X0), X0)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xy)
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             sk_Xy), app_encode_app(a, b, f, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, g, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X6 : a, X7 : a]:
0.00/0.24	      (app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, X7)
0.00/0.24	        = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, X6)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, X7), X6)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('10', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, sk_Xx)
0.00/0.24	        = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	            sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, sk_Xx)
0.00/0.24	     = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, sk_Xy),
0.00/0.24	    inference('simplify', [status(thm)], ['10'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             sk_Xx), app_encode_app(a, b, f, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, g, sk_Xy))),
0.00/0.24	    inference('demod', [status(thm)], ['8', '0', '11'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    app_encode_app(b, $o, 
0.00/0.24	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	          sk_Xx), app_encode_app(a, b, f, sk_Xy)), 
0.00/0.24	      app_encode_app(a, b, g, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X8 : a, X11 : b, X12 : b, X13 : b]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             X8), X11), X12)
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 cQ, X8), X13), X12)
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 cQ, X8), X11), X13)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, X8), X8)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X0 : b]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xx)
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 cQ, sk_Xx), X0), app_encode_app(a, b, f, sk_Xy))
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	               sk_Xx), X0), app_encode_app(a, b, g, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xy), X0)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['16'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    app_encode_app(a, $o, 
0.00/0.24	      app_encode_app(a, app_encode_fun(a, $o), cP, sk_Xx), sk_Xx),
0.00/0.24	    inference('simplify', [status(thm)], ['18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X0 : b]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ $true
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 cQ, sk_Xx), X0), app_encode_app(a, b, f, sk_Xy))
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	               sk_Xx), X0), app_encode_app(a, b, g, sk_Xy))),
0.00/0.24	    inference('demod', [status(thm)], ['15', '19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X0 : b]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             sk_Xx), X0), app_encode_app(a, b, g, sk_Xy))
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 cQ, sk_Xx), X0), app_encode_app(a, b, f, sk_Xy))),
0.00/0.24	    inference('simplify', [status(thm)], ['20'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ~ app_encode_app(b, $o, 
0.00/0.24	        app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	          app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	            sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.24	        app_encode_app(a, b, g, sk_Xy)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('23', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	               sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.24	           app_encode_app(a, b, f, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X14 : a, X15 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             X14), app_encode_app(a, b, f, X14)), 
0.00/0.24	         app_encode_app(a, b, f, X15))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), cP, X14), X15)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('25', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	             sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.24	         app_encode_app(a, b, f, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    app_encode_app(b, $o, 
0.00/0.24	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), cQ, 
0.00/0.24	          sk_Xx), app_encode_app(a, b, f, sk_Xx)), 
0.00/0.24	      app_encode_app(a, b, f, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['25'])).
0.00/0.24	tff('27', plain, (~ $true | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['23', '26'])).
0.00/0.24	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
