0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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
0.00/0.23	% Computer   : n151.star.cs.uiowa.edu
0.00/0.23	% Model      : x86_64 x86_64
0.00/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.23	% Memory     : 32218.625MB
0.00/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.23	% CPULimit   : 300
0.00/0.26	% DateTime   : Fri Feb  2 17:29:24 CST 2018
109.36/109.63	% done 4990 iterations in 109.371s
109.36/109.63	% SZS status Theorem for 'stdin'
109.36/109.63	% SZS output start Refutation
109.36/109.63	tff(zf_stmt_4, conjecture,
109.36/109.63	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
109.36/109.63	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
109.36/109.63	     (((![Xx:a]:
109.36/109.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                          Xx) =
109.36/109.63	           Xx)) & 
109.36/109.63	       (![Xx:a]:
109.36/109.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
109.36/109.63	                          Xx) =
109.36/109.63	           Xx)) & 
109.36/109.63	       (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	          (app_encode_app(a,a,
109.36/109.63	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
109.36/109.63	                                         app_encode_app(a,a,
109.36/109.63	                                                        app_encode_app(
109.36/109.63	                                                        a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        JOIN,Xx),Xy)),
109.36/109.63	                          Xz) =
109.36/109.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                          app_encode_app(a,a,
109.36/109.63	                                         app_encode_app(a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        JOIN,Xy),
109.36/109.63	                                         Xz)))) & 
109.36/109.63	       (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	          (app_encode_app(a,a,
109.36/109.63	                          app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                         app_encode_app(a,a,
109.36/109.63	                                                        app_encode_app(
109.36/109.63	                                                        a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        MEET,Xx),Xy)),
109.36/109.63	                          Xz) =
109.36/109.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
109.36/109.63	                          app_encode_app(a,a,
109.36/109.63	                                         app_encode_app(a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        MEET,Xy),
109.36/109.63	                                         Xz)))) & 
109.36/109.63	       (![Xx:a,Xy:a]:
109.36/109.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                          Xy) =
109.36/109.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
109.36/109.63	                          Xx))) & 
109.36/109.63	       (![Xx:a,Xy:a]:
109.36/109.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
109.36/109.63	                          Xy) =
109.36/109.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
109.36/109.63	                          Xx))) & 
109.36/109.63	       (![Xx:a,Xy:a]:
109.36/109.63	          (app_encode_app(a,a,
109.36/109.63	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
109.36/109.63	                                         app_encode_app(a,a,
109.36/109.63	                                                        app_encode_app(
109.36/109.63	                                                        a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        MEET,Xx),Xy)),
109.36/109.63	                          Xy) =
109.36/109.63	           Xy)) & 
109.36/109.63	       (![Xx:a,Xy:a]:
109.36/109.63	          (app_encode_app(a,a,
109.36/109.63	                          app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                         app_encode_app(a,a,
109.36/109.63	                                                        app_encode_app(
109.36/109.63	                                                        a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        JOIN,Xx),Xy)),
109.36/109.63	                          Xy) =
109.36/109.63	           Xy)) & 
109.36/109.63	       (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                          app_encode_app(a,a,
109.36/109.63	                                         app_encode_app(a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        MEET,Xy),
109.36/109.63	                                         Xz)) =
109.36/109.63	           app_encode_app(a,a,
109.36/109.63	                          app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                         app_encode_app(a,a,
109.36/109.63	                                                        app_encode_app(
109.36/109.63	                                                        a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        JOIN,Xx),Xy)),
109.36/109.63	                          app_encode_app(a,a,
109.36/109.63	                                         app_encode_app(a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        JOIN,Xx),
109.36/109.63	                                         Xz)))) & 
109.36/109.63	       (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
109.36/109.63	                          app_encode_app(a,a,
109.36/109.63	                                         app_encode_app(a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        JOIN,Xy),
109.36/109.63	                                         Xz)) =
109.36/109.63	           app_encode_app(a,a,
109.36/109.63	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
109.36/109.63	                                         app_encode_app(a,a,
109.36/109.63	                                                        app_encode_app(
109.36/109.63	                                                        a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        MEET,Xx),Xy)),
109.36/109.63	                          app_encode_app(a,a,
109.36/109.63	                                         app_encode_app(a,
109.36/109.63	                                                        app_encode_fun(a,a),
109.36/109.63	                                                        MEET,Xx),
109.36/109.63	                                         Xz))))) =>
109.36/109.63	      (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	         (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                         app_encode_app(a,a,
109.36/109.63	                                        app_encode_app(a,app_encode_fun(a,a),
109.36/109.63	                                                       MEET,Xy),
109.36/109.63	                                        app_encode_app(a,a,
109.36/109.63	                                                       app_encode_app(
109.36/109.63	                                                       a,app_encode_fun(a,a),
109.36/109.63	                                                       JOIN,Xx),Xz))) =
109.36/109.63	          app_encode_app(a,a,
109.36/109.63	                         app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                        app_encode_app(a,a,
109.36/109.63	                                                       app_encode_app(
109.36/109.63	                                                       a,app_encode_fun(a,a),
109.36/109.63	                                                       JOIN,Xx),Xy)),
109.36/109.63	                         app_encode_app(a,a,
109.36/109.63	                                        app_encode_app(a,app_encode_fun(a,a),
109.36/109.63	                                                       JOIN,Xx),
109.36/109.63	                                        Xz))))))).
109.36/109.63	tff(zf_stmt_0, negated_conjecture,
109.36/109.63	  (~
109.36/109.63	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
109.36/109.63	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
109.36/109.63	       (((![Xx:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
109.36/109.63	             Xx)) & 
109.36/109.63	         (![Xx:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
109.36/109.63	             Xx)) & 
109.36/109.63	         (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
109.36/109.63	                                           app_encode_app(a,a,
109.36/109.63	                                                          app_encode_app(
109.36/109.63	                                                          a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          JOIN,Xx),Xy)),
109.36/109.63	                            Xz) =
109.36/109.63	             app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                            app_encode_app(a,a,
109.36/109.63	                                           app_encode_app(a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          JOIN,Xy),
109.36/109.63	                                           Xz)))) & 
109.36/109.63	         (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                           app_encode_app(a,a,
109.36/109.63	                                                          app_encode_app(
109.36/109.63	                                                          a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          MEET,Xx),Xy)),
109.36/109.63	                            Xz) =
109.36/109.63	             app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
109.36/109.63	                            app_encode_app(a,a,
109.36/109.63	                                           app_encode_app(a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          MEET,Xy),
109.36/109.63	                                           Xz)))) & 
109.36/109.63	         (![Xx:a,Xy:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
109.36/109.63	             app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
109.36/109.63	         (![Xx:a,Xy:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
109.36/109.63	             app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
109.36/109.63	         (![Xx:a,Xy:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
109.36/109.63	                                           app_encode_app(a,a,
109.36/109.63	                                                          app_encode_app(
109.36/109.63	                                                          a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          MEET,Xx),Xy)),
109.36/109.63	                            Xy) =
109.36/109.63	             Xy)) & 
109.36/109.63	         (![Xx:a,Xy:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                           app_encode_app(a,a,
109.36/109.63	                                                          app_encode_app(
109.36/109.63	                                                          a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          JOIN,Xx),Xy)),
109.36/109.63	                            Xy) =
109.36/109.63	             Xy)) & 
109.36/109.63	         (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                            app_encode_app(a,a,
109.36/109.63	                                           app_encode_app(a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          MEET,Xy),
109.36/109.63	                                           Xz)) =
109.36/109.63	             app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                           app_encode_app(a,a,
109.36/109.63	                                                          app_encode_app(
109.36/109.63	                                                          a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          JOIN,Xx),Xy)),
109.36/109.63	                            app_encode_app(a,a,
109.36/109.63	                                           app_encode_app(a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          JOIN,Xx),
109.36/109.63	                                           Xz)))) & 
109.36/109.63	         (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	            (app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
109.36/109.63	                            app_encode_app(a,a,
109.36/109.63	                                           app_encode_app(a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          JOIN,Xy),
109.36/109.63	                                           Xz)) =
109.36/109.63	             app_encode_app(a,a,
109.36/109.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
109.36/109.63	                                           app_encode_app(a,a,
109.36/109.63	                                                          app_encode_app(
109.36/109.63	                                                          a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          MEET,Xx),Xy)),
109.36/109.63	                            app_encode_app(a,a,
109.36/109.63	                                           app_encode_app(a,
109.36/109.63	                                                          app_encode_fun(a,a),
109.36/109.63	                                                          MEET,Xx),
109.36/109.63	                                           Xz))))) =>
109.36/109.63	        (![Xx:a,Xy:a,Xz:a]:
109.36/109.63	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
109.36/109.63	                           app_encode_app(a,a,
109.36/109.63	                                          app_encode_app(a,
109.36/109.63	                                                         app_encode_fun(a,a),
109.36/109.63	                                                         MEET,Xy),
109.36/109.63	                                          app_encode_app(a,a,
109.36/109.63	                                                         app_encode_app(
109.36/109.63	                                                         a,
109.36/109.63	                                                         app_encode_fun(a,a),
109.36/109.63	                                                         JOIN,Xx),Xz))) =
109.36/109.63	            app_encode_app(a,a,
109.36/109.63	                           app_encode_app(a,app_encode_fun(a,a),MEET,
109.36/109.63	                                          app_encode_app(a,a,
109.36/109.63	                                                         app_encode_app(
109.36/109.63	                                                         a,
109.36/109.63	                                                         app_encode_fun(a,a),
109.36/109.63	                                                         JOIN,Xx),Xy)),
109.36/109.63	                           app_encode_app(a,a,
109.36/109.63	                                          app_encode_app(a,
109.36/109.63	                                                         app_encode_fun(a,a),
109.36/109.63	                                                         JOIN,Xx),
109.36/109.63	                                          Xz)))))))).
109.36/109.63	tff('0', plain,
109.36/109.63	    app_encode_app(a, a, 
109.36/109.63	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
109.36/109.63	     != app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
109.36/109.63	            app_encode_app(a, a, 
109.36/109.63	              app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy)), 
109.36/109.63	          app_encode_app(a, a, 
109.36/109.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)),
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('1', plain,
109.36/109.63	    ![X7 : a, X8 : a, X9 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X9))
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
109.36/109.63	             app_encode_app(a, a, 
109.36/109.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X8)), 
109.36/109.63	           app_encode_app(a, a, 
109.36/109.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X9)),
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('2', plain,
109.36/109.63	    app_encode_app(a, a, 
109.36/109.63	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
109.36/109.63	     != app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
109.36/109.63	          app_encode_app(a, a, 
109.36/109.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz)),
109.36/109.63	    inference('demod', [status(thm)], ['0', '1'])).
109.36/109.63	tff('3', plain,
109.36/109.63	    ![X24 : a, X25 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X25), X24)
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X24), X25),
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('4', plain,
109.36/109.63	    ![X4 : a, X5 : a, X6 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X6))
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
109.36/109.63	             app_encode_app(a, a, 
109.36/109.63	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), X5)), 
109.36/109.63	           app_encode_app(a, a, 
109.36/109.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), X6)),
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('5', plain,
109.36/109.63	    ![X0 : a, X1 : a, X2 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X2))
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
109.36/109.63	             app_encode_app(a, a, 
109.36/109.63	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X2)), 
109.36/109.63	           app_encode_app(a, a, 
109.36/109.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
109.36/109.63	    inference('sup+', [status(thm)], ['3', '4'])).
109.36/109.63	tff('6', plain,
109.36/109.63	    ![X20 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X20), X20)
109.36/109.63	       = X20,
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('7', plain,
109.36/109.63	    ![X0 : a, X1 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1))
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
109.36/109.63	           app_encode_app(a, a, 
109.36/109.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)),
109.36/109.63	    inference('sup+', [status(thm)], ['6', '1'])).
109.36/109.63	tff('8', plain,
109.36/109.63	    ![X14 : a, X15 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X15), X14)
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X14), X15),
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('9', plain,
109.36/109.63	    ![X12 : a, X13 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
109.36/109.63	          app_encode_app(a, a, 
109.36/109.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X12)), 
109.36/109.63	        X12)
109.36/109.63	       = X12,
109.36/109.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.63	tff('10', plain,
109.36/109.63	    ![X0 : a, X1 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
109.36/109.63	          app_encode_app(a, a, 
109.36/109.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)), X1)
109.36/109.63	       = X1,
109.36/109.63	    inference('sup+', [status(thm)], ['8', '9'])).
109.36/109.63	tff('11', plain,
109.36/109.63	    ![X0 : a, X1 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
109.36/109.63	        app_encode_app(a, a, 
109.36/109.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
109.36/109.63	       = X1,
109.36/109.63	    inference('demod', [status(thm)], ['10', '3'])).
109.36/109.63	tff('12', plain,
109.36/109.63	    ![X0 : a, X1 : a]:
109.36/109.63	      X0
109.36/109.63	       = app_encode_app(a, a, 
109.36/109.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
109.36/109.63	           app_encode_app(a, a, 
109.36/109.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)),
109.36/109.63	    inference('demod', [status(thm)], ['7', '11'])).
109.36/109.63	tff('13', plain,
109.36/109.63	    ![X16 : a, X17 : a, X18 : a]:
109.36/109.63	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X16), X17)), 
109.36/109.64	        X18)
109.36/109.64	       = app_encode_app(a, a, 
109.36/109.64	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X16), 
109.36/109.64	           app_encode_app(a, a, 
109.36/109.64	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X17), X18)),
109.36/109.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.64	tff('14', plain,
109.36/109.64	    ![X12 : a, X13 : a]:
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X12), 
109.36/109.64	        app_encode_app(a, a, 
109.36/109.64	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X12))
109.36/109.64	       = X12,
109.36/109.64	    inference('demod', [status(thm)], ['9', '3'])).
109.36/109.64	tff('15', plain,
109.36/109.64	    ![X0 : a, X1 : a, X2 : a]:
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
109.36/109.64	        app_encode_app(a, a, 
109.36/109.64	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)))
109.36/109.64	       = X0,
109.36/109.64	    inference('sup+', [status(thm)], ['13', '14'])).
109.36/109.64	tff('16', plain,
109.36/109.64	    ![X0 : a, X1 : a, X2 : a]:
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), 
109.36/109.64	        app_encode_app(a, a, 
109.36/109.64	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X0))
109.36/109.64	       = app_encode_app(a, a, 
109.36/109.64	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
109.36/109.64	    inference('sup+', [status(thm)], ['12', '15'])).
109.36/109.64	tff('17', plain,
109.36/109.64	    ![X21 : a, X22 : a, X23 : a]:
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X21), X22)), 
109.36/109.64	        X23)
109.36/109.64	       = app_encode_app(a, a, 
109.36/109.64	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X21), 
109.36/109.64	           app_encode_app(a, a, 
109.36/109.64	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X22), X23)),
109.36/109.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
109.36/109.64	tff('18', plain,
109.36/109.64	    ![X0 : a, X1 : a, X2 : a]:
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
109.36/109.64	        app_encode_app(a, a, 
109.36/109.64	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X0)))
109.36/109.64	       = app_encode_app(a, a, 
109.36/109.64	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
109.36/109.64	    inference('demod', [status(thm)], ['16', '17'])).
109.36/109.64	tff('19', plain,
109.36/109.64	    ![X0 : a, X1 : a, X2 : a]:
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
109.36/109.64	        app_encode_app(a, a, 
109.36/109.64	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
109.36/109.64	       = app_encode_app(a, a, 
109.36/109.64	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
109.36/109.64	           app_encode_app(a, a, 
109.36/109.64	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X0)),
109.36/109.64	    inference('sup+', [status(thm)], ['5', '18'])).
109.36/109.64	tff('20', plain,
109.36/109.64	    app_encode_app(a, a, 
109.36/109.64	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
109.36/109.64	      app_encode_app(a, a, 
109.36/109.64	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz))
109.36/109.64	     != app_encode_app(a, a, 
109.36/109.64	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
109.36/109.64	          app_encode_app(a, a, 
109.36/109.64	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz)),
109.36/109.64	    inference('demod', [status(thm)], ['2', '19'])).
109.36/109.64	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
109.36/109.64	
109.36/109.64	% SZS output end Refutation
109.36/109.64	EOF
