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
0.00/0.20	% Computer   : n082.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 17:28:54 CST 2018
243.42/243.61	% done 4155 iterations in 243.405s
243.42/243.61	% SZS status Theorem for 'stdin'
243.42/243.61	% SZS output start Refutation
243.42/243.61	tff(zf_stmt_4, conjecture,
243.42/243.61	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
243.42/243.61	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
243.42/243.61	     (((![Xx:a]:
243.42/243.61	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.61	                          Xx) =
243.42/243.61	           Xx)) & 
243.42/243.61	       (![Xx:a]:
243.42/243.61	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
243.42/243.61	                          Xx) =
243.42/243.61	           Xx)) & 
243.42/243.61	       (![Xx:a,Xy:a,Xz:a]:
243.42/243.61	          (app_encode_app(a,a,
243.42/243.61	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
243.42/243.61	                                         app_encode_app(a,a,
243.42/243.61	                                                        app_encode_app(
243.42/243.61	                                                        a,
243.42/243.61	                                                        app_encode_fun(a,a),
243.42/243.61	                                                        JOIN,Xx),Xy)),
243.42/243.61	                          Xz) =
243.42/243.61	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.61	                          app_encode_app(a,a,
243.42/243.63	                                         app_encode_app(a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        JOIN,Xy),
243.42/243.63	                                         Xz)))) & 
243.42/243.63	       (![Xx:a,Xy:a,Xz:a]:
243.42/243.63	          (app_encode_app(a,a,
243.42/243.63	                          app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                         app_encode_app(a,a,
243.42/243.63	                                                        app_encode_app(
243.42/243.63	                                                        a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        MEET,Xx),Xy)),
243.42/243.63	                          Xz) =
243.42/243.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
243.42/243.63	                          app_encode_app(a,a,
243.42/243.63	                                         app_encode_app(a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        MEET,Xy),
243.42/243.63	                                         Xz)))) & 
243.42/243.63	       (![Xx:a,Xy:a]:
243.42/243.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                          Xy) =
243.42/243.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
243.42/243.63	                          Xx))) & 
243.42/243.63	       (![Xx:a,Xy:a]:
243.42/243.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
243.42/243.63	                          Xy) =
243.42/243.63	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
243.42/243.63	                          Xx))) & 
243.42/243.63	       (![Xx:a,Xy:a]:
243.42/243.63	          (app_encode_app(a,a,
243.42/243.63	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
243.42/243.63	                                         app_encode_app(a,a,
243.42/243.63	                                                        app_encode_app(
243.42/243.63	                                                        a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        MEET,Xx),Xy)),
243.42/243.63	                          Xy) =
243.42/243.63	           Xy)) & 
243.42/243.63	       (![Xx:a,Xy:a]:
243.42/243.63	          (app_encode_app(a,a,
243.42/243.63	                          app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                         app_encode_app(a,a,
243.42/243.63	                                                        app_encode_app(
243.42/243.63	                                                        a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        JOIN,Xx),Xy)),
243.42/243.63	                          Xy) =
243.42/243.63	           Xy))) =>
243.42/243.63	      ((![Xx:a,Xy:a,Xz:a]:
243.42/243.63	          ((app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                           Xz) =
243.42/243.63	            Xz) =>
243.42/243.63	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                           app_encode_app(a,a,
243.42/243.63	                                          app_encode_app(a,
243.42/243.63	                                                         app_encode_fun(a,a),
243.42/243.63	                                                         MEET,Xy),
243.42/243.63	                                          Xz)) =
243.42/243.63	            app_encode_app(a,a,
243.42/243.63	                           app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                          app_encode_app(a,a,
243.42/243.63	                                                         app_encode_app(
243.42/243.63	                                                         a,
243.42/243.63	                                                         app_encode_fun(a,a),
243.42/243.63	                                                         JOIN,Xx),Xy)),
243.42/243.63	                           Xz)))) <=>
243.42/243.63	       (![Xx:a,Xy:a,Xz:a]:
243.42/243.63	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                          app_encode_app(a,a,
243.42/243.63	                                         app_encode_app(a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        MEET,Xy),
243.42/243.63	                                         app_encode_app(a,a,
243.42/243.63	                                                        app_encode_app(
243.42/243.63	                                                        a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        JOIN,Xx),Xz))) =
243.42/243.63	           app_encode_app(a,a,
243.42/243.63	                          app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                         app_encode_app(a,a,
243.42/243.63	                                                        app_encode_app(
243.42/243.63	                                                        a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        JOIN,Xx),Xy)),
243.42/243.63	                          app_encode_app(a,a,
243.42/243.63	                                         app_encode_app(a,
243.42/243.63	                                                        app_encode_fun(a,a),
243.42/243.63	                                                        JOIN,Xx),
243.42/243.63	                                         Xz)))))))).
243.42/243.63	tff(zf_stmt_0, negated_conjecture,
243.42/243.63	  (~
243.42/243.63	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
243.42/243.63	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
243.42/243.63	       (((![Xx:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
243.42/243.63	             Xx)) & 
243.42/243.63	         (![Xx:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
243.42/243.63	             Xx)) & 
243.42/243.63	         (![Xx:a,Xy:a,Xz:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
243.42/243.63	                                           app_encode_app(a,a,
243.42/243.63	                                                          app_encode_app(
243.42/243.63	                                                          a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          JOIN,Xx),Xy)),
243.42/243.63	                            Xz) =
243.42/243.63	             app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                            app_encode_app(a,a,
243.42/243.63	                                           app_encode_app(a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          JOIN,Xy),
243.42/243.63	                                           Xz)))) & 
243.42/243.63	         (![Xx:a,Xy:a,Xz:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                           app_encode_app(a,a,
243.42/243.63	                                                          app_encode_app(
243.42/243.63	                                                          a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          MEET,Xx),Xy)),
243.42/243.63	                            Xz) =
243.42/243.63	             app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
243.42/243.63	                            app_encode_app(a,a,
243.42/243.63	                                           app_encode_app(a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          MEET,Xy),
243.42/243.63	                                           Xz)))) & 
243.42/243.63	         (![Xx:a,Xy:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
243.42/243.63	             app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
243.42/243.63	         (![Xx:a,Xy:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
243.42/243.63	             app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
243.42/243.63	         (![Xx:a,Xy:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
243.42/243.63	                                           app_encode_app(a,a,
243.42/243.63	                                                          app_encode_app(
243.42/243.63	                                                          a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          MEET,Xx),Xy)),
243.42/243.63	                            Xy) =
243.42/243.63	             Xy)) & 
243.42/243.63	         (![Xx:a,Xy:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                           app_encode_app(a,a,
243.42/243.63	                                                          app_encode_app(
243.42/243.63	                                                          a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          JOIN,Xx),Xy)),
243.42/243.63	                            Xy) =
243.42/243.63	             Xy))) =>
243.42/243.63	        ((![Xx:a,Xy:a,Xz:a]:
243.42/243.63	            ((app_encode_app(a,a,
243.42/243.63	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xz) =
243.42/243.63	              Xz) =>
243.42/243.63	             (app_encode_app(a,a,
243.42/243.63	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                             app_encode_app(a,a,
243.42/243.63	                                            app_encode_app(a,
243.42/243.63	                                                           app_encode_fun(
243.42/243.63	                                                           a,a),MEET,Xy),
243.42/243.63	                                            Xz)) =
243.42/243.63	              app_encode_app(a,a,
243.42/243.63	                             app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                            app_encode_app(a,a,
243.42/243.63	                                                           app_encode_app(
243.42/243.63	                                                           a,
243.42/243.63	                                                           app_encode_fun(
243.42/243.63	                                                           a,a),JOIN,Xx),Xy)),
243.42/243.63	                             Xz)))) <=>
243.42/243.63	         (![Xx:a,Xy:a,Xz:a]:
243.42/243.63	            (app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
243.42/243.63	                            app_encode_app(a,a,
243.42/243.63	                                           app_encode_app(a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          MEET,Xy),
243.42/243.63	                                           app_encode_app(a,a,
243.42/243.63	                                                          app_encode_app(
243.42/243.63	                                                          a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          JOIN,Xx),Xz))) =
243.42/243.63	             app_encode_app(a,a,
243.42/243.63	                            app_encode_app(a,app_encode_fun(a,a),MEET,
243.42/243.63	                                           app_encode_app(a,a,
243.42/243.63	                                                          app_encode_app(
243.42/243.63	                                                          a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          JOIN,Xx),Xy)),
243.42/243.63	                            app_encode_app(a,a,
243.42/243.63	                                           app_encode_app(a,
243.42/243.63	                                                          app_encode_fun(a,a),
243.42/243.63	                                                          JOIN,Xx),
243.42/243.63	                                           Xz))))))))).
243.42/243.63	tff('0', plain,
243.42/243.63	    (app_encode_app(a, a, 
243.42/243.63	       app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	       app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
243.42/243.63	      != app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	               sk_Xy)), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz))
243.42/243.63	     | app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy1), sk_Xz1))
243.42/243.63	        != app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	               app_encode_app(a, a, 
243.42/243.63	                 app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	                 sk_Xy1)), sk_Xz1)),
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('1', plain,
243.42/243.63	    ![X14 : a, X15 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X15), X14)
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X14), X15),
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('2', plain,
243.42/243.63	    (app_encode_app(a, a, 
243.42/243.63	       app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	       app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
243.42/243.63	      != app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	               sk_Xy)), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz))
243.42/243.63	     | app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), sk_Xy1))
243.42/243.63	        != app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	               sk_Xy1))),
243.42/243.63	    inference('demod', [status(thm)], ['0', '1', '1'])).
243.42/243.63	tff('3', plain,
243.42/243.63	    ![X4 : a, X5 : a, X6 : a, X7 : a, X8 : a, X9 : a]:
243.42/243.63	      (app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X6)))
243.42/243.63	        = app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	              app_encode_app(a, a, 
243.42/243.63	                app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X5)), 
243.42/243.63	            app_encode_app(a, a, 
243.42/243.63	              app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X6))
243.42/243.63	       | app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X8), X7)
243.42/243.63	          != X7
243.42/243.63	       | app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X8), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X9), X7))
243.42/243.63	          = app_encode_app(a, a, 
243.42/243.63	              app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	                app_encode_app(a, a, 
243.42/243.63	                  app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X8), X9)), 
243.42/243.63	              X7)),
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('4', plain,
243.42/243.63	    ![X0 : a, X1 : a, X2 : a]:
243.42/243.63	      (app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
243.42/243.63	        != app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	               app_encode_app(a, a, 
243.42/243.63	                 app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
243.42/243.63	       | app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
243.42/243.63	          != app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
243.42/243.63	       | app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
243.42/243.63	          = app_encode_app(a, a, 
243.42/243.63	              app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	                app_encode_app(a, a, 
243.42/243.63	                  app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X2)), 
243.42/243.63	              app_encode_app(a, a, 
243.42/243.63	                app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))),
243.42/243.63	    inference('eq_fact', [status(thm)], ['3'])).
243.42/243.63	tff('5', plain,
243.42/243.63	    ![X0 : a, X1 : a, X2 : a]:
243.42/243.63	      (app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
243.42/243.63	        = app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	              app_encode_app(a, a, 
243.42/243.63	                app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X2)), 
243.42/243.63	            app_encode_app(a, a, 
243.42/243.63	              app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
243.42/243.63	       | app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
243.42/243.63	          != app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
243.42/243.63	    inference('simplify', [status(thm)], ['4'])).
243.42/243.63	tff('6', plain,
243.42/243.63	    ![X24 : a, X25 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X25), X24)
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X24), X25),
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('7', plain,
243.42/243.63	    ![X10 : a, X11 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X11), X10)), 
243.42/243.63	        X10)
243.42/243.63	       = X10,
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('8', plain,
243.42/243.63	    ![X10 : a, X11 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X10), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X11), X10))
243.42/243.63	       = X10,
243.42/243.63	    inference('demod', [status(thm)], ['7', '1'])).
243.42/243.63	tff('9', plain,
243.42/243.63	    ![X0 : a, X1 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
243.42/243.63	       = X1,
243.42/243.63	    inference('sup+', [status(thm)], ['6', '8'])).
243.42/243.63	tff('10', plain,
243.42/243.63	    ![X12 : a, X13 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X12)), 
243.42/243.63	        X12)
243.42/243.63	       = X12,
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('11', plain,
243.42/243.63	    ![X12 : a, X13 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X12), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X12))
243.42/243.63	       = X12,
243.42/243.63	    inference('demod', [status(thm)], ['10', '6'])).
243.42/243.63	tff('12', plain,
243.42/243.63	    ![X0 : a, X1 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), X0)
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
243.42/243.63	    inference('sup+', [status(thm)], ['9', '11'])).
243.42/243.63	tff('13', plain,
243.42/243.63	    ![X0 : a, X1 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1))
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
243.42/243.63	    inference('demod', [status(thm)], ['12', '6'])).
243.42/243.63	tff('14', plain,
243.42/243.63	    ![X0 : a, X1 : a, X2 : a]:
243.42/243.63	      (app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
243.42/243.63	        = app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	              app_encode_app(a, a, 
243.42/243.63	                app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X2)), 
243.42/243.63	            app_encode_app(a, a, 
243.42/243.63	              app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
243.42/243.63	       | app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
243.42/243.63	          != app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
243.42/243.63	    inference('demod', [status(thm)], ['5', '13'])).
243.42/243.63	tff('15', plain,
243.42/243.63	    ![X0 : a, X1 : a, X2 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)))
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X2)), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
243.42/243.63	    inference('simplify', [status(thm)], ['14'])).
243.42/243.63	tff('16', plain,
243.42/243.63	    (app_encode_app(a, a, 
243.42/243.63	       app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	       app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
243.42/243.63	      != app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	               sk_Xz)))
243.42/243.63	     | app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), sk_Xy1))
243.42/243.63	        != app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	               sk_Xy1))),
243.42/243.63	    inference('demod', [status(thm)], ['2', '15'])).
243.42/243.63	tff('17', plain,
243.42/243.63	    app_encode_app(a, a, 
243.42/243.63	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), sk_Xy1))
243.42/243.63	     != app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), sk_Xy1)),
243.42/243.63	    inference('simplify', [status(thm)], ['16'])).
243.42/243.63	tff('18', plain,
243.42/243.63	    (app_encode_app(a, a, 
243.42/243.63	       app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	       app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
243.42/243.63	      != app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	               sk_Xy)), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz))
243.42/243.63	     | app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), sk_Xz1)
243.42/243.63	        = sk_Xz1),
243.42/243.63	    inference('cnf', [status(esa)], [zf_stmt_0])).
243.42/243.63	tff('19', plain,
243.42/243.63	    (app_encode_app(a, a, 
243.42/243.63	       app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	       app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
243.42/243.63	      != app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	               sk_Xy)), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz))
243.42/243.63	     | app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz1), sk_Xx1)
243.42/243.63	        = sk_Xz1),
243.42/243.63	    inference('demod', [status(thm)], ['18', '6'])).
243.42/243.63	tff('20', plain,
243.42/243.63	    (app_encode_app(a, a, 
243.42/243.63	       app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	       app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	         app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
243.42/243.63	      != app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
243.42/243.63	               sk_Xz)))
243.42/243.63	     | app_encode_app(a, a, 
243.42/243.63	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz1), sk_Xx1)
243.42/243.63	        = sk_Xz1),
243.42/243.63	    inference('demod', [status(thm)], ['19', '15'])).
243.42/243.63	tff('21', plain,
243.42/243.63	    app_encode_app(a, a, 
243.42/243.63	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz1), sk_Xx1)
243.42/243.63	     = sk_Xz1,
243.42/243.63	    inference('simplify', [status(thm)], ['20'])).
243.42/243.63	tff('22', plain,
243.42/243.63	    ![X0 : a, X1 : a, X2 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)))
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X2)), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
243.42/243.63	    inference('sup+', [status(thm)], ['6', '15'])).
243.42/243.63	tff('23', plain,
243.42/243.63	    ![X0 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), sk_Xz1)))
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
243.42/243.63	             app_encode_app(a, a, 
243.42/243.63	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), X0)), 
243.42/243.63	           sk_Xz1),
243.42/243.63	    inference('sup+', [status(thm)], ['21', '22'])).
243.42/243.63	tff('24', plain,
243.42/243.63	    ![X0 : a]:
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	        app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), sk_Xz1))
243.42/243.63	       = app_encode_app(a, a, 
243.42/243.63	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), 
243.42/243.63	           app_encode_app(a, a, 
243.42/243.63	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), X0)),
243.42/243.63	    inference('demod', [status(thm)], ['23', '6', '21', '1'])).
243.42/243.63	tff('25', plain,
243.42/243.63	    app_encode_app(a, a, 
243.42/243.63	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	      app_encode_app(a, a, 
243.42/243.63	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), sk_Xy1))
243.42/243.63	     != app_encode_app(a, a, 
243.42/243.63	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx1), 
243.42/243.63	          app_encode_app(a, a, 
243.42/243.63	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz1), sk_Xy1)),
243.42/243.63	    inference('demod', [status(thm)], ['17', '24', '1'])).
243.42/243.63	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
243.42/243.63	
243.42/243.63	% SZS output end Refutation
243.42/243.63	EOF
