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    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n112.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 17:29:08 CST 2018
2.42/2.61	% done 1333 iterations in 2.408s
2.42/2.61	% SZS status Theorem for 'stdin'
2.42/2.61	% SZS output start Refutation
2.42/2.62	tff(zf_stmt_4, conjecture,
2.42/2.62	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
2.42/2.62	     MEET:app_encode_fun(a,app_encode_fun(a,a)),TOP:a,BOTTOM:a]:
2.42/2.62	     (((![Xx:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                          Xx) =
2.42/2.62	           Xx)) & 
2.42/2.62	       (![Xx:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                          Xx) =
2.42/2.62	           Xx)) & 
2.42/2.62	       (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	          (app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
2.42/2.62	                                         app_encode_app(a,a,
2.42/2.62	                                                        app_encode_app(
2.42/2.62	                                                        a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        JOIN,Xx),Xy)),
2.42/2.62	                          Xz) =
2.42/2.62	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                          app_encode_app(a,a,
2.42/2.62	                                         app_encode_app(a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        JOIN,Xy),
2.42/2.62	                                         Xz)))) & 
2.42/2.62	       (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	          (app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),MEET,
2.42/2.62	                                         app_encode_app(a,a,
2.42/2.62	                                                        app_encode_app(
2.42/2.62	                                                        a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        MEET,Xx),Xy)),
2.42/2.62	                          Xz) =
2.42/2.62	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                          app_encode_app(a,a,
2.42/2.62	                                         app_encode_app(a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        MEET,Xy),
2.42/2.62	                                         Xz)))) & 
2.42/2.62	       (![Xx:a,Xy:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                          Xy) =
2.42/2.62	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
2.42/2.62	                          Xx))) & 
2.42/2.62	       (![Xx:a,Xy:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                          Xy) =
2.42/2.62	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
2.42/2.62	                          Xx))) & 
2.42/2.62	       (![Xx:a,Xy:a]:
2.42/2.62	          (app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
2.42/2.62	                                         app_encode_app(a,a,
2.42/2.62	                                                        app_encode_app(
2.42/2.62	                                                        a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        MEET,Xx),Xy)),
2.42/2.62	                          Xy) =
2.42/2.62	           Xy)) & 
2.42/2.62	       (![Xx:a,Xy:a]:
2.42/2.62	          (app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),MEET,
2.42/2.62	                                         app_encode_app(a,a,
2.42/2.62	                                                        app_encode_app(
2.42/2.62	                                                        a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        JOIN,Xx),Xy)),
2.42/2.62	                          Xy) =
2.42/2.62	           Xy)) & 
2.42/2.62	       (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                          app_encode_app(a,a,
2.42/2.62	                                         app_encode_app(a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        JOIN,Xy),
2.42/2.62	                                         Xz)) =
2.42/2.62	           app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
2.42/2.62	                                         app_encode_app(a,a,
2.42/2.62	                                                        app_encode_app(
2.42/2.62	                                                        a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        MEET,Xx),Xy)),
2.42/2.62	                          app_encode_app(a,a,
2.42/2.62	                                         app_encode_app(a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        MEET,Xx),
2.42/2.62	                                         Xz)))) & 
2.42/2.62	       (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                          app_encode_app(a,a,
2.42/2.62	                                         app_encode_app(a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        MEET,Xy),
2.42/2.62	                                         Xz)) =
2.42/2.62	           app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),MEET,
2.42/2.62	                                         app_encode_app(a,a,
2.42/2.62	                                                        app_encode_app(
2.42/2.62	                                                        a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        JOIN,Xx),Xy)),
2.42/2.62	                          app_encode_app(a,a,
2.42/2.62	                                         app_encode_app(a,
2.42/2.62	                                                        app_encode_fun(a,a),
2.42/2.62	                                                        JOIN,Xx),
2.42/2.62	                                         Xz)))) & 
2.42/2.62	       (![Xx:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,TOP),
2.42/2.62	                          Xx) =
2.42/2.62	           Xx)) & 
2.42/2.62	       (![Xx:a]:
2.42/2.62	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,TOP),
2.42/2.62	                          Xx) =
2.42/2.62	           TOP)) & 
2.42/2.62	       (![Xx:a]:
2.42/2.62	          (app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),MEET,BOTTOM),
2.42/2.62	                          Xx) =
2.42/2.62	           BOTTOM)) & 
2.42/2.62	       (![Xx:a]:
2.42/2.62	          (app_encode_app(a,a,
2.42/2.62	                          app_encode_app(a,app_encode_fun(a,a),JOIN,BOTTOM),
2.42/2.62	                          Xx) =
2.42/2.62	           Xx)) & 
2.42/2.62	       (![Xx:a]:
2.42/2.62	          (?[Xy:a]:
2.42/2.62	             ((app_encode_app(a,a,
2.42/2.62	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                              Xy) =
2.42/2.62	               TOP) & 
2.42/2.62	              (app_encode_app(a,a,
2.42/2.62	                              app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                              Xy) =
2.42/2.62	               BOTTOM))))) =>
2.42/2.62	      (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	         (((app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                           Xy) =
2.42/2.62	            TOP) & 
2.42/2.62	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                           Xy) =
2.42/2.62	            BOTTOM) & 
2.42/2.62	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                           Xz) =
2.42/2.62	            TOP) & 
2.42/2.62	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                           Xz) =
2.42/2.62	            BOTTOM)) =>
2.42/2.62	          (Xy = Xz)))))).
2.42/2.62	tff(zf_stmt_0, negated_conjecture,
2.42/2.62	  (~
2.42/2.62	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
2.42/2.62	       MEET:app_encode_fun(a,app_encode_fun(a,a)),TOP:a,BOTTOM:a]:
2.42/2.62	       (((![Xx:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
2.42/2.62	             Xx)) & 
2.42/2.62	         (![Xx:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
2.42/2.62	             Xx)) & 
2.42/2.62	         (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
2.42/2.62	                                           app_encode_app(a,a,
2.42/2.62	                                                          app_encode_app(
2.42/2.62	                                                          a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          JOIN,Xx),Xy)),
2.42/2.62	                            Xz) =
2.42/2.62	             app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                            app_encode_app(a,a,
2.42/2.62	                                           app_encode_app(a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          JOIN,Xy),
2.42/2.62	                                           Xz)))) & 
2.42/2.62	         (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,
2.42/2.62	                                           app_encode_app(a,a,
2.42/2.62	                                                          app_encode_app(
2.42/2.62	                                                          a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          MEET,Xx),Xy)),
2.42/2.62	                            Xz) =
2.42/2.62	             app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                            app_encode_app(a,a,
2.42/2.62	                                           app_encode_app(a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          MEET,Xy),
2.42/2.62	                                           Xz)))) & 
2.42/2.62	         (![Xx:a,Xy:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
2.42/2.62	             app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
2.42/2.62	         (![Xx:a,Xy:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
2.42/2.62	             app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
2.42/2.62	         (![Xx:a,Xy:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
2.42/2.62	                                           app_encode_app(a,a,
2.42/2.62	                                                          app_encode_app(
2.42/2.62	                                                          a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          MEET,Xx),Xy)),
2.42/2.62	                            Xy) =
2.42/2.62	             Xy)) & 
2.42/2.62	         (![Xx:a,Xy:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,
2.42/2.62	                                           app_encode_app(a,a,
2.42/2.62	                                                          app_encode_app(
2.42/2.62	                                                          a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          JOIN,Xx),Xy)),
2.42/2.62	                            Xy) =
2.42/2.62	             Xy)) & 
2.42/2.62	         (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                            app_encode_app(a,a,
2.42/2.62	                                           app_encode_app(a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          JOIN,Xy),
2.42/2.62	                                           Xz)) =
2.42/2.62	             app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
2.42/2.62	                                           app_encode_app(a,a,
2.42/2.62	                                                          app_encode_app(
2.42/2.62	                                                          a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          MEET,Xx),Xy)),
2.42/2.62	                            app_encode_app(a,a,
2.42/2.62	                                           app_encode_app(a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          MEET,Xx),
2.42/2.62	                                           Xz)))) & 
2.42/2.62	         (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                            app_encode_app(a,a,
2.42/2.62	                                           app_encode_app(a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          MEET,Xy),
2.42/2.62	                                           Xz)) =
2.42/2.62	             app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,
2.42/2.62	                                           app_encode_app(a,a,
2.42/2.62	                                                          app_encode_app(
2.42/2.62	                                                          a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          JOIN,Xx),Xy)),
2.42/2.62	                            app_encode_app(a,a,
2.42/2.62	                                           app_encode_app(a,
2.42/2.62	                                                          app_encode_fun(a,a),
2.42/2.62	                                                          JOIN,Xx),
2.42/2.62	                                           Xz)))) & 
2.42/2.62	         (![Xx:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,TOP),Xx) =
2.42/2.62	             Xx)) & 
2.42/2.62	         (![Xx:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,TOP),Xx) =
2.42/2.62	             TOP)) & 
2.42/2.62	         (![Xx:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),MEET,BOTTOM),
2.42/2.62	                            Xx) =
2.42/2.62	             BOTTOM)) & 
2.42/2.62	         (![Xx:a]:
2.42/2.62	            (app_encode_app(a,a,
2.42/2.62	                            app_encode_app(a,app_encode_fun(a,a),JOIN,BOTTOM),
2.42/2.62	                            Xx) =
2.42/2.62	             Xx)) & 
2.42/2.62	         (![Xx:a]:
2.42/2.62	            (?[Xy:a]:
2.42/2.62	               ((app_encode_app(a,a,
2.42/2.62	                                app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
2.42/2.62	                                Xy) =
2.42/2.62	                 TOP) & 
2.42/2.62	                (app_encode_app(a,a,
2.42/2.62	                                app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
2.42/2.62	                                Xy) =
2.42/2.62	                 BOTTOM))))) =>
2.42/2.62	        (![Xx:a,Xy:a,Xz:a]:
2.42/2.62	           (((app_encode_app(a,a,
2.42/2.62	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
2.42/2.62	              TOP) & 
2.42/2.62	             (app_encode_app(a,a,
2.42/2.62	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
2.42/2.62	              BOTTOM) & 
2.42/2.62	             (app_encode_app(a,a,
2.42/2.62	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xz) =
2.42/2.62	              TOP) & 
2.42/2.62	             (app_encode_app(a,a,
2.42/2.62	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xz) =
2.42/2.62	              BOTTOM)) =>
2.42/2.62	            (Xy = Xz))))))).
2.42/2.62	tff('0', plain,
2.42/2.62	    ![X4 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), sk_Xy1(X4))
2.42/2.62	       = sk_TOP,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('1', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xz)
2.42/2.62	     = sk_BOTTOM,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('2', plain,
2.42/2.62	    ![X23 : a, X24 : a, X25 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X23), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X24), X25))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	             app_encode_app(a, a, 
2.42/2.62	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X23), X24)), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X23), X25)),
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('3', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_BOTTOM), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0)),
2.42/2.62	    inference('sup+', [status(thm)], ['1', '2'])).
2.42/2.62	tff('4', plain,
2.42/2.62	    ![X5 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_BOTTOM), X5)
2.42/2.62	       = X5,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('5', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0),
2.42/2.62	    inference('demod', [status(thm)], ['3', '4'])).
2.42/2.62	tff('6', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_TOP)
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	         sk_Xy1(sk_Xz)),
2.42/2.62	    inference('sup+', [status(thm)], ['0', '5'])).
2.42/2.62	tff('7', plain,
2.42/2.62	    ![X17 : a, X18 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X18), X17)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X17), X18),
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('8', plain,
2.42/2.62	    ![X29 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_TOP), X29)
2.42/2.62	       = X29,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('9', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), sk_TOP)
2.42/2.62	       = X0,
2.42/2.62	    inference('sup+', [status(thm)], ['7', '8'])).
2.42/2.62	tff('10', plain,
2.42/2.62	    sk_Xx
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	         sk_Xy1(sk_Xz)),
2.42/2.62	    inference('demod', [status(thm)], ['6', '9'])).
2.42/2.62	tff('11', plain,
2.42/2.62	    ![X19 : a, X20 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	          app_encode_app(a, a, 
2.42/2.62	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X20), X19)), 
2.42/2.62	        X19)
2.42/2.62	       = X19,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('12', plain,
2.42/2.62	    ![X15 : a, X16 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X16), X15)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X15), X16),
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('13', plain,
2.42/2.62	    ![X19 : a, X20 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X19), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X20), X19))
2.42/2.62	       = X19,
2.42/2.62	    inference('demod', [status(thm)], ['11', '12'])).
2.42/2.62	tff('14', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy1(sk_Xz)), sk_Xx)
2.42/2.62	     = sk_Xy1(sk_Xz),
2.42/2.62	    inference('sup+', [status(thm)], ['10', '13'])).
2.42/2.62	tff('15', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy1(sk_Xz))
2.42/2.62	     = sk_Xy1(sk_Xz),
2.42/2.62	    inference('demod', [status(thm)], ['14', '12'])).
2.42/2.62	tff('16', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy)
2.42/2.62	     = sk_TOP,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('17', plain,
2.42/2.62	    ![X9 : a, X10 : a, X11 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	          app_encode_app(a, a, 
2.42/2.62	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X9), X10)), X11)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X9), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X10), X11)),
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('18', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_TOP), X0)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)),
2.42/2.62	    inference('sup+', [status(thm)], ['16', '17'])).
2.42/2.62	tff('19', plain,
2.42/2.62	    ![X30 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_TOP), X30)
2.42/2.62	       = sk_TOP,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('20', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      sk_TOP
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)),
2.42/2.62	    inference('demod', [status(thm)], ['18', '19'])).
2.42/2.62	tff('21', plain,
2.42/2.62	    ![X21 : a, X22 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
2.42/2.62	          app_encode_app(a, a, 
2.42/2.62	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X22), X21)), 
2.42/2.62	        X21)
2.42/2.62	       = X21,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('22', plain,
2.42/2.62	    ![X21 : a, X22 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X21), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X22), X21))
2.42/2.62	       = X21,
2.42/2.62	    inference('demod', [status(thm)], ['21', '7'])).
2.42/2.62	tff('23', plain,
2.42/2.62	    ![X0 : a, X1 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
2.42/2.62	       = X1,
2.42/2.62	    inference('sup+', [status(thm)], ['12', '22'])).
2.42/2.62	tff('24', plain,
2.42/2.62	    ![X0 : a, X1 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	          app_encode_app(a, a, 
2.42/2.62	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), X0)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
2.42/2.62	    inference('sup+', [status(thm)], ['23', '13'])).
2.42/2.62	tff('25', plain,
2.42/2.62	    ![X0 : a, X1 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
2.42/2.62	    inference('demod', [status(thm)], ['24', '17'])).
2.42/2.62	tff('26', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	          app_encode_app(a, a, 
2.42/2.62	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)), 
2.42/2.62	        sk_TOP)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	             app_encode_app(a, a, 
2.42/2.62	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)), 
2.42/2.62	           sk_Xx),
2.42/2.62	    inference('sup+', [status(thm)], ['20', '25'])).
2.42/2.62	tff('27', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_TOP)
2.42/2.62	       = sk_TOP,
2.42/2.62	    inference('sup+', [status(thm)], ['12', '19'])).
2.42/2.62	tff('28', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      sk_TOP
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_Xx)),
2.42/2.62	    inference('demod', [status(thm)], ['26', '17', '27', '27', '17'])).
2.42/2.62	tff('29', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      sk_TOP
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), X0)),
2.42/2.62	    inference('sup+', [status(thm)], ['12', '28'])).
2.42/2.62	tff('30', plain,
2.42/2.62	    sk_TOP
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), 
2.42/2.62	         sk_Xy1(sk_Xz)),
2.42/2.62	    inference('sup+', [status(thm)], ['15', '29'])).
2.42/2.62	tff('31', plain,
2.42/2.62	    ![X4 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), sk_Xy1(X4))
2.42/2.62	       = sk_BOTTOM,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('32', plain,
2.42/2.62	    ![X0 : a, X1 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), sk_Xy1(X0)))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	             app_encode_app(a, a, 
2.42/2.62	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)), 
2.42/2.62	           sk_BOTTOM),
2.42/2.62	    inference('sup+', [status(thm)], ['31', '2'])).
2.42/2.62	tff('33', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_BOTTOM)
2.42/2.62	       = X0,
2.42/2.62	    inference('sup+', [status(thm)], ['12', '4'])).
2.42/2.62	tff('34', plain,
2.42/2.62	    ![X0 : a, X1 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), sk_Xy1(X0)))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
2.42/2.62	    inference('demod', [status(thm)], ['32', '33'])).
2.42/2.62	tff('35', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz), sk_TOP)
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz), sk_Xy),
2.42/2.62	    inference('sup+', [status(thm)], ['30', '34'])).
2.42/2.62	tff('36', plain,
2.42/2.62	    sk_Xz
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz),
2.42/2.62	    inference('demod', [status(thm)], ['35', '9', '7'])).
2.42/2.62	tff('37', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xy)
2.42/2.62	     = sk_BOTTOM,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('38', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_BOTTOM), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0)),
2.42/2.62	    inference('sup+', [status(thm)], ['37', '2'])).
2.42/2.62	tff('39', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	        app_encode_app(a, a, 
2.42/2.62	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0))
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0),
2.42/2.62	    inference('demod', [status(thm)], ['38', '4'])).
2.42/2.62	tff('40', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_TOP)
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	         sk_Xy1(sk_Xy)),
2.42/2.62	    inference('sup+', [status(thm)], ['0', '39'])).
2.42/2.62	tff('41', plain,
2.42/2.62	    sk_Xx
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
2.42/2.62	         sk_Xy1(sk_Xy)),
2.42/2.62	    inference('demod', [status(thm)], ['40', '9'])).
2.42/2.62	tff('42', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy1(sk_Xy)), sk_Xx)
2.42/2.62	     = sk_Xy1(sk_Xy),
2.42/2.62	    inference('sup+', [status(thm)], ['41', '13'])).
2.42/2.62	tff('43', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy1(sk_Xy))
2.42/2.62	     = sk_Xy1(sk_Xy),
2.42/2.62	    inference('demod', [status(thm)], ['42', '12'])).
2.42/2.62	tff('44', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)
2.42/2.62	     = sk_TOP,
2.42/2.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('45', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_TOP), X0)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)),
2.42/2.62	    inference('sup+', [status(thm)], ['44', '17'])).
2.42/2.62	tff('46', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      sk_TOP
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)),
2.42/2.62	    inference('demod', [status(thm)], ['45', '19'])).
2.42/2.62	tff('47', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      app_encode_app(a, a, 
2.42/2.62	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	          app_encode_app(a, a, 
2.42/2.62	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)), 
2.42/2.62	        sk_TOP)
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
2.42/2.62	             app_encode_app(a, a, 
2.42/2.62	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)), 
2.42/2.62	           sk_Xx),
2.42/2.62	    inference('sup+', [status(thm)], ['46', '25'])).
2.42/2.62	tff('48', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      sk_TOP
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_Xx)),
2.42/2.62	    inference('demod', [status(thm)], ['47', '17', '27', '27', '17'])).
2.42/2.62	tff('49', plain,
2.42/2.62	    ![X0 : a]:
2.42/2.62	      sk_TOP
2.42/2.62	       = app_encode_app(a, a, 
2.42/2.62	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), 
2.42/2.62	           app_encode_app(a, a, 
2.42/2.62	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), X0)),
2.42/2.62	    inference('sup+', [status(thm)], ['12', '48'])).
2.42/2.62	tff('50', plain,
2.42/2.62	    sk_TOP
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), 
2.42/2.62	         sk_Xy1(sk_Xy)),
2.42/2.62	    inference('sup+', [status(thm)], ['43', '49'])).
2.42/2.62	tff('51', plain,
2.42/2.62	    app_encode_app(a, a, 
2.42/2.62	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_TOP)
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz),
2.42/2.62	    inference('sup+', [status(thm)], ['50', '34'])).
2.42/2.62	tff('52', plain,
2.42/2.62	    sk_Xy
2.42/2.62	     = app_encode_app(a, a, 
2.42/2.62	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz),
2.42/2.62	    inference('demod', [status(thm)], ['51', '9'])).
2.42/2.62	tff('53', plain, sk_Xy = sk_Xz,
2.42/2.62	    inference('sup+', [status(thm)], ['36', '52'])).
2.42/2.62	tff('54', plain, sk_Xy != sk_Xz, inference('cnf', [status(esa)], [zf_stmt_0])).
2.42/2.62	tff('55', plain, $false,
2.42/2.62	    inference('simplify_reflect-', [status(thm)], ['53', '54'])).
2.42/2.62	
2.42/2.62	% SZS output end Refutation
2.42/2.62	EOF
