0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n120.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 17:29:24 CST 2018
3.39/3.57	% done 606 iterations in 3.367s
3.39/3.57	% SZS status Theorem for 'stdin'
3.39/3.57	% SZS output start Refutation
3.39/3.58	tff(zf_stmt_4, conjecture,
3.39/3.58	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
3.39/3.58	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
3.39/3.58	     (((![Xx:a]:
3.39/3.58	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                          Xx) =
3.39/3.58	           Xx)) & 
3.39/3.58	       (![Xx:a]:
3.39/3.58	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.39/3.58	                          Xx) =
3.39/3.58	           Xx)) & 
3.39/3.58	       (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	          (app_encode_app(a,a,
3.39/3.58	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
3.39/3.58	                                         app_encode_app(a,a,
3.39/3.58	                                                        app_encode_app(
3.39/3.58	                                                        a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        JOIN,Xx),Xy)),
3.39/3.58	                          Xz) =
3.39/3.58	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                          app_encode_app(a,a,
3.39/3.58	                                         app_encode_app(a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        JOIN,Xy),
3.39/3.58	                                         Xz)))) & 
3.39/3.58	       (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	          (app_encode_app(a,a,
3.39/3.58	                          app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                         app_encode_app(a,a,
3.39/3.58	                                                        app_encode_app(
3.39/3.58	                                                        a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        MEET,Xx),Xy)),
3.39/3.58	                          Xz) =
3.39/3.58	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.39/3.58	                          app_encode_app(a,a,
3.39/3.58	                                         app_encode_app(a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        MEET,Xy),
3.39/3.58	                                         Xz)))) & 
3.39/3.58	       (![Xx:a,Xy:a]:
3.39/3.58	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                          Xy) =
3.39/3.58	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
3.39/3.58	                          Xx))) & 
3.39/3.58	       (![Xx:a,Xy:a]:
3.39/3.58	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.39/3.58	                          Xy) =
3.39/3.58	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
3.39/3.58	                          Xx))) & 
3.39/3.58	       (![Xx:a,Xy:a]:
3.39/3.58	          (app_encode_app(a,a,
3.39/3.58	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
3.39/3.58	                                         app_encode_app(a,a,
3.39/3.58	                                                        app_encode_app(
3.39/3.58	                                                        a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        MEET,Xx),Xy)),
3.39/3.58	                          Xy) =
3.39/3.58	           Xy)) & 
3.39/3.58	       (![Xx:a,Xy:a]:
3.39/3.58	          (app_encode_app(a,a,
3.39/3.58	                          app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                         app_encode_app(a,a,
3.39/3.58	                                                        app_encode_app(
3.39/3.58	                                                        a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        JOIN,Xx),Xy)),
3.39/3.58	                          Xy) =
3.39/3.58	           Xy)) & 
3.39/3.58	       (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                          app_encode_app(a,a,
3.39/3.58	                                         app_encode_app(a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        MEET,Xy),
3.39/3.58	                                         Xz)) =
3.39/3.58	           app_encode_app(a,a,
3.39/3.58	                          app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                         app_encode_app(a,a,
3.39/3.58	                                                        app_encode_app(
3.39/3.58	                                                        a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        JOIN,Xx),Xy)),
3.39/3.58	                          app_encode_app(a,a,
3.39/3.58	                                         app_encode_app(a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        JOIN,Xx),
3.39/3.58	                                         Xz)))) & 
3.39/3.58	       (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.39/3.58	                          app_encode_app(a,a,
3.39/3.58	                                         app_encode_app(a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        JOIN,Xy),
3.39/3.58	                                         Xz)) =
3.39/3.58	           app_encode_app(a,a,
3.39/3.58	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
3.39/3.58	                                         app_encode_app(a,a,
3.39/3.58	                                                        app_encode_app(
3.39/3.58	                                                        a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        MEET,Xx),Xy)),
3.39/3.58	                          app_encode_app(a,a,
3.39/3.58	                                         app_encode_app(a,
3.39/3.58	                                                        app_encode_fun(a,a),
3.39/3.58	                                                        MEET,Xx),
3.39/3.58	                                         Xz))))) =>
3.39/3.58	      (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	         (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                         app_encode_app(a,a,
3.39/3.58	                                        app_encode_app(a,app_encode_fun(a,a),
3.39/3.58	                                                       MEET,Xy),
3.39/3.58	                                        app_encode_app(a,a,
3.39/3.58	                                                       app_encode_app(
3.39/3.58	                                                       a,app_encode_fun(a,a),
3.39/3.58	                                                       JOIN,Xx),Xz))) =
3.39/3.58	          app_encode_app(a,a,
3.39/3.58	                         app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                        app_encode_app(a,a,
3.39/3.58	                                                       app_encode_app(
3.39/3.58	                                                       a,app_encode_fun(a,a),
3.39/3.58	                                                       JOIN,Xx),Xy)),
3.39/3.58	                         app_encode_app(a,a,
3.39/3.58	                                        app_encode_app(a,app_encode_fun(a,a),
3.39/3.58	                                                       JOIN,Xx),
3.39/3.58	                                        Xz))))))).
3.39/3.58	tff(zf_stmt_0, negated_conjecture,
3.39/3.58	  (~
3.39/3.58	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
3.39/3.58	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
3.39/3.58	       (((![Xx:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
3.39/3.58	             Xx)) & 
3.39/3.58	         (![Xx:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
3.39/3.58	             Xx)) & 
3.39/3.58	         (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
3.39/3.58	                                           app_encode_app(a,a,
3.39/3.58	                                                          app_encode_app(
3.39/3.58	                                                          a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          JOIN,Xx),Xy)),
3.39/3.58	                            Xz) =
3.39/3.58	             app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                            app_encode_app(a,a,
3.39/3.58	                                           app_encode_app(a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          JOIN,Xy),
3.39/3.58	                                           Xz)))) & 
3.39/3.58	         (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                           app_encode_app(a,a,
3.39/3.58	                                                          app_encode_app(
3.39/3.58	                                                          a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          MEET,Xx),Xy)),
3.39/3.58	                            Xz) =
3.39/3.58	             app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.39/3.58	                            app_encode_app(a,a,
3.39/3.58	                                           app_encode_app(a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          MEET,Xy),
3.39/3.58	                                           Xz)))) & 
3.39/3.58	         (![Xx:a,Xy:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
3.39/3.58	             app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
3.39/3.58	         (![Xx:a,Xy:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
3.39/3.58	             app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
3.39/3.58	         (![Xx:a,Xy:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
3.39/3.58	                                           app_encode_app(a,a,
3.39/3.58	                                                          app_encode_app(
3.39/3.58	                                                          a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          MEET,Xx),Xy)),
3.39/3.58	                            Xy) =
3.39/3.58	             Xy)) & 
3.39/3.58	         (![Xx:a,Xy:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                           app_encode_app(a,a,
3.39/3.58	                                                          app_encode_app(
3.39/3.58	                                                          a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          JOIN,Xx),Xy)),
3.39/3.58	                            Xy) =
3.39/3.58	             Xy)) & 
3.39/3.58	         (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                            app_encode_app(a,a,
3.39/3.58	                                           app_encode_app(a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          MEET,Xy),
3.39/3.58	                                           Xz)) =
3.39/3.58	             app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                           app_encode_app(a,a,
3.39/3.58	                                                          app_encode_app(
3.39/3.58	                                                          a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          JOIN,Xx),Xy)),
3.39/3.58	                            app_encode_app(a,a,
3.39/3.58	                                           app_encode_app(a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          JOIN,Xx),
3.39/3.58	                                           Xz)))) & 
3.39/3.58	         (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	            (app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.39/3.58	                            app_encode_app(a,a,
3.39/3.58	                                           app_encode_app(a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          JOIN,Xy),
3.39/3.58	                                           Xz)) =
3.39/3.58	             app_encode_app(a,a,
3.39/3.58	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
3.39/3.58	                                           app_encode_app(a,a,
3.39/3.58	                                                          app_encode_app(
3.39/3.58	                                                          a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          MEET,Xx),Xy)),
3.39/3.58	                            app_encode_app(a,a,
3.39/3.58	                                           app_encode_app(a,
3.39/3.58	                                                          app_encode_fun(a,a),
3.39/3.58	                                                          MEET,Xx),
3.39/3.58	                                           Xz))))) =>
3.39/3.58	        (![Xx:a,Xy:a,Xz:a]:
3.39/3.58	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.39/3.58	                           app_encode_app(a,a,
3.39/3.58	                                          app_encode_app(a,
3.39/3.58	                                                         app_encode_fun(a,a),
3.39/3.58	                                                         MEET,Xy),
3.39/3.58	                                          app_encode_app(a,a,
3.39/3.58	                                                         app_encode_app(
3.39/3.58	                                                         a,
3.39/3.58	                                                         app_encode_fun(a,a),
3.39/3.58	                                                         JOIN,Xx),Xz))) =
3.39/3.58	            app_encode_app(a,a,
3.39/3.58	                           app_encode_app(a,app_encode_fun(a,a),MEET,
3.39/3.58	                                          app_encode_app(a,a,
3.39/3.58	                                                         app_encode_app(
3.39/3.58	                                                         a,
3.39/3.58	                                                         app_encode_fun(a,a),
3.39/3.58	                                                         JOIN,Xx),Xy)),
3.39/3.58	                           app_encode_app(a,a,
3.39/3.58	                                          app_encode_app(a,
3.39/3.58	                                                         app_encode_fun(a,a),
3.39/3.58	                                                         JOIN,Xx),
3.39/3.58	                                          Xz)))))))).
3.39/3.58	tff('0', plain,
3.39/3.58	    app_encode_app(a, a, 
3.39/3.58	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
3.39/3.58	     != app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
3.39/3.58	            app_encode_app(a, a, 
3.39/3.58	              app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy)), 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)),
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('1', plain,
3.39/3.58	    ![X7 : a, X8 : a, X9 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X9))
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
3.39/3.58	             app_encode_app(a, a, 
3.39/3.58	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X8)), 
3.39/3.58	           app_encode_app(a, a, 
3.39/3.58	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X9)),
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('2', plain,
3.39/3.58	    app_encode_app(a, a, 
3.39/3.58	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)))
3.39/3.58	     != app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz)),
3.39/3.58	    inference('demod', [status(thm)], ['0', '1'])).
3.39/3.58	tff('3', plain,
3.39/3.58	    ![X14 : a, X15 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X15), X14)
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X14), X15),
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('4', plain,
3.39/3.58	    ![X4 : a, X5 : a, X6 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X6))
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	             app_encode_app(a, a, 
3.39/3.58	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), X5)), 
3.39/3.58	           app_encode_app(a, a, 
3.39/3.58	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), X6)),
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('5', plain,
3.39/3.58	    ![X0 : a, X1 : a, X2 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X2))
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	             app_encode_app(a, a, 
3.39/3.58	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)), 
3.39/3.58	           app_encode_app(a, a, 
3.39/3.58	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X2)),
3.39/3.58	    inference('sup+', [status(thm)], ['3', '4'])).
3.39/3.58	tff('6', plain,
3.39/3.58	    app_encode_app(a, a, 
3.39/3.58	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xy)), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz)))
3.39/3.58	     != app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz)),
3.39/3.58	    inference('demod', [status(thm)], ['2', '5'])).
3.39/3.58	tff('7', plain,
3.39/3.58	    ![X12 : a, X13 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X12)), 
3.39/3.58	        X12)
3.39/3.58	       = X12,
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('8', plain,
3.39/3.58	    ![X0 : a, X1 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)), X1)
3.39/3.58	       = X1,
3.39/3.58	    inference('sup+', [status(thm)], ['3', '7'])).
3.39/3.58	tff('9', plain,
3.39/3.58	    ![X24 : a, X25 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X25), X24)
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X24), X25),
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('10', plain,
3.39/3.58	    ![X0 : a, X1 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
3.39/3.58	        app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
3.39/3.58	       = X1,
3.39/3.58	    inference('demod', [status(thm)], ['8', '9'])).
3.39/3.58	tff('11', plain,
3.39/3.58	    ![X21 : a, X22 : a, X23 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X21), X22)), 
3.39/3.58	        X23)
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X21), 
3.39/3.58	           app_encode_app(a, a, 
3.39/3.58	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X22), X23)),
3.39/3.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.39/3.58	tff('12', plain,
3.39/3.58	    ![X0 : a, X1 : a, X2 : a]:
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)
3.39/3.58	       = app_encode_app(a, a, 
3.39/3.58	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
3.39/3.58	           app_encode_app(a, a, 
3.39/3.58	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.39/3.58	               app_encode_app(a, a, 
3.39/3.58	                 app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X2)), 
3.39/3.58	             X1)),
3.39/3.58	    inference('sup+', [status(thm)], ['10', '11'])).
3.39/3.58	tff('13', plain,
3.39/3.58	    app_encode_app(a, a, 
3.39/3.58	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	      app_encode_app(a, a, 
3.39/3.58	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz))
3.39/3.58	     != app_encode_app(a, a, 
3.39/3.58	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
3.39/3.58	          app_encode_app(a, a, 
3.39/3.58	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz)),
3.39/3.58	    inference('demod', [status(thm)], ['6', '12'])).
3.39/3.58	tff('14', plain, $false, inference('simplify', [status(thm)], ['13'])).
3.39/3.58	
3.39/3.58	% SZS output end Refutation
3.39/3.58	EOF
