0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n144.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:29:09 CST 2018
1.63/1.85	% done 1243 iterations in 1.655s
1.63/1.85	% SZS status Theorem for 'stdin'
1.63/1.85	% SZS output start Refutation
1.63/1.86	tff(zf_stmt_3, conjecture,
1.63/1.86	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
1.63/1.86	     MEET:app_encode_fun(a,app_encode_fun(a,a)),TOP:a,BOTTOM:a]:
1.63/1.86	     (((![Xx:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                          Xx) =
1.63/1.86	           Xx)) & 
1.63/1.86	       (![Xx:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                          Xx) =
1.63/1.86	           Xx)) & 
1.63/1.86	       (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	          (app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.63/1.86	                                         app_encode_app(a,a,
1.63/1.86	                                                        app_encode_app(
1.63/1.86	                                                        a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        JOIN,Xx),Xy)),
1.63/1.86	                          Xz) =
1.63/1.86	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                          app_encode_app(a,a,
1.63/1.86	                                         app_encode_app(a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        JOIN,Xy),
1.63/1.86	                                         Xz)))) & 
1.63/1.86	       (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	          (app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.63/1.86	                                         app_encode_app(a,a,
1.63/1.86	                                                        app_encode_app(
1.63/1.86	                                                        a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        MEET,Xx),Xy)),
1.63/1.86	                          Xz) =
1.63/1.86	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                          app_encode_app(a,a,
1.63/1.86	                                         app_encode_app(a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        MEET,Xy),
1.63/1.86	                                         Xz)))) & 
1.63/1.86	       (![Xx:a,Xy:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                          Xy) =
1.63/1.86	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
1.63/1.86	                          Xx))) & 
1.63/1.86	       (![Xx:a,Xy:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                          Xy) =
1.63/1.86	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
1.63/1.86	                          Xx))) & 
1.63/1.86	       (![Xx:a,Xy:a]:
1.63/1.86	          (app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.63/1.86	                                         app_encode_app(a,a,
1.63/1.86	                                                        app_encode_app(
1.63/1.86	                                                        a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        MEET,Xx),Xy)),
1.63/1.86	                          Xy) =
1.63/1.86	           Xy)) & 
1.63/1.86	       (![Xx:a,Xy:a]:
1.63/1.86	          (app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.63/1.86	                                         app_encode_app(a,a,
1.63/1.86	                                                        app_encode_app(
1.63/1.86	                                                        a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        JOIN,Xx),Xy)),
1.63/1.86	                          Xy) =
1.63/1.86	           Xy)) & 
1.63/1.86	       (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                          app_encode_app(a,a,
1.63/1.86	                                         app_encode_app(a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        JOIN,Xy),
1.63/1.86	                                         Xz)) =
1.63/1.86	           app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.63/1.86	                                         app_encode_app(a,a,
1.63/1.86	                                                        app_encode_app(
1.63/1.86	                                                        a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        MEET,Xx),Xy)),
1.63/1.86	                          app_encode_app(a,a,
1.63/1.86	                                         app_encode_app(a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        MEET,Xx),
1.63/1.86	                                         Xz)))) & 
1.63/1.86	       (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                          app_encode_app(a,a,
1.63/1.86	                                         app_encode_app(a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        MEET,Xy),
1.63/1.86	                                         Xz)) =
1.63/1.86	           app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.63/1.86	                                         app_encode_app(a,a,
1.63/1.86	                                                        app_encode_app(
1.63/1.86	                                                        a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        JOIN,Xx),Xy)),
1.63/1.86	                          app_encode_app(a,a,
1.63/1.86	                                         app_encode_app(a,
1.63/1.86	                                                        app_encode_fun(a,a),
1.63/1.86	                                                        JOIN,Xx),
1.63/1.86	                                         Xz)))) & 
1.63/1.86	       (![Xx:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,TOP),
1.63/1.86	                          Xx) =
1.63/1.86	           Xx)) & 
1.63/1.86	       (![Xx:a]:
1.63/1.86	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,TOP),
1.63/1.86	                          Xx) =
1.63/1.86	           TOP)) & 
1.63/1.86	       (![Xx:a]:
1.63/1.86	          (app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),MEET,BOTTOM),
1.63/1.86	                          Xx) =
1.63/1.86	           BOTTOM)) & 
1.63/1.86	       (![Xx:a]:
1.63/1.86	          (app_encode_app(a,a,
1.63/1.86	                          app_encode_app(a,app_encode_fun(a,a),JOIN,BOTTOM),
1.63/1.86	                          Xx) =
1.63/1.86	           Xx)) & 
1.63/1.86	       (![Xx:a]:
1.63/1.86	          (?[Xy:a]:
1.63/1.86	             ((app_encode_app(a,a,
1.63/1.86	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                              Xy) =
1.63/1.86	               TOP) & 
1.63/1.86	              (app_encode_app(a,a,
1.63/1.86	                              app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                              Xy) =
1.63/1.86	               BOTTOM))))) =>
1.63/1.86	      (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	         (((app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                           Xy) =
1.63/1.86	            TOP) & 
1.63/1.86	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                           Xy) =
1.63/1.86	            BOTTOM) & 
1.63/1.86	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                           Xz) =
1.63/1.86	            TOP) & 
1.63/1.86	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                           Xz) =
1.63/1.86	            BOTTOM)) =>
1.63/1.86	          (Xy = Xz)))))).
1.63/1.86	tff(zf_stmt_0, negated_conjecture,
1.63/1.86	  (~
1.63/1.86	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
1.63/1.86	       MEET:app_encode_fun(a,app_encode_fun(a,a)),TOP:a,BOTTOM:a]:
1.63/1.86	       (((![Xx:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
1.63/1.86	             Xx)) & 
1.63/1.86	         (![Xx:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
1.63/1.86	             Xx)) & 
1.63/1.86	         (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.63/1.86	                                           app_encode_app(a,a,
1.63/1.86	                                                          app_encode_app(
1.63/1.86	                                                          a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          JOIN,Xx),Xy)),
1.63/1.86	                            Xz) =
1.63/1.86	             app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                            app_encode_app(a,a,
1.63/1.86	                                           app_encode_app(a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          JOIN,Xy),
1.63/1.86	                                           Xz)))) & 
1.63/1.86	         (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.63/1.86	                                           app_encode_app(a,a,
1.63/1.86	                                                          app_encode_app(
1.63/1.86	                                                          a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          MEET,Xx),Xy)),
1.63/1.86	                            Xz) =
1.63/1.86	             app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                            app_encode_app(a,a,
1.63/1.86	                                           app_encode_app(a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          MEET,Xy),
1.63/1.86	                                           Xz)))) & 
1.63/1.86	         (![Xx:a,Xy:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
1.63/1.86	             app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
1.63/1.86	         (![Xx:a,Xy:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
1.63/1.86	             app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
1.63/1.86	         (![Xx:a,Xy:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.63/1.86	                                           app_encode_app(a,a,
1.63/1.86	                                                          app_encode_app(
1.63/1.86	                                                          a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          MEET,Xx),Xy)),
1.63/1.86	                            Xy) =
1.63/1.86	             Xy)) & 
1.63/1.86	         (![Xx:a,Xy:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.63/1.86	                                           app_encode_app(a,a,
1.63/1.86	                                                          app_encode_app(
1.63/1.86	                                                          a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          JOIN,Xx),Xy)),
1.63/1.86	                            Xy) =
1.63/1.86	             Xy)) & 
1.63/1.86	         (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                            app_encode_app(a,a,
1.63/1.86	                                           app_encode_app(a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          JOIN,Xy),
1.63/1.86	                                           Xz)) =
1.63/1.86	             app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.63/1.86	                                           app_encode_app(a,a,
1.63/1.86	                                                          app_encode_app(
1.63/1.86	                                                          a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          MEET,Xx),Xy)),
1.63/1.86	                            app_encode_app(a,a,
1.63/1.86	                                           app_encode_app(a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          MEET,Xx),
1.63/1.86	                                           Xz)))) & 
1.63/1.86	         (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                            app_encode_app(a,a,
1.63/1.86	                                           app_encode_app(a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          MEET,Xy),
1.63/1.86	                                           Xz)) =
1.63/1.86	             app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.63/1.86	                                           app_encode_app(a,a,
1.63/1.86	                                                          app_encode_app(
1.63/1.86	                                                          a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          JOIN,Xx),Xy)),
1.63/1.86	                            app_encode_app(a,a,
1.63/1.86	                                           app_encode_app(a,
1.63/1.86	                                                          app_encode_fun(a,a),
1.63/1.86	                                                          JOIN,Xx),
1.63/1.86	                                           Xz)))) & 
1.63/1.86	         (![Xx:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,TOP),Xx) =
1.63/1.86	             Xx)) & 
1.63/1.86	         (![Xx:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,TOP),Xx) =
1.63/1.86	             TOP)) & 
1.63/1.86	         (![Xx:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),MEET,BOTTOM),
1.63/1.86	                            Xx) =
1.63/1.86	             BOTTOM)) & 
1.63/1.86	         (![Xx:a]:
1.63/1.86	            (app_encode_app(a,a,
1.63/1.86	                            app_encode_app(a,app_encode_fun(a,a),JOIN,BOTTOM),
1.63/1.86	                            Xx) =
1.63/1.86	             Xx)) & 
1.63/1.86	         (![Xx:a]:
1.63/1.86	            (?[Xy:a]:
1.63/1.86	               ((app_encode_app(a,a,
1.63/1.86	                                app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.63/1.86	                                Xy) =
1.63/1.86	                 TOP) & 
1.63/1.86	                (app_encode_app(a,a,
1.63/1.86	                                app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.63/1.86	                                Xy) =
1.63/1.86	                 BOTTOM))))) =>
1.63/1.86	        (![Xx:a,Xy:a,Xz:a]:
1.63/1.86	           (((app_encode_app(a,a,
1.63/1.86	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
1.63/1.86	              TOP) & 
1.63/1.86	             (app_encode_app(a,a,
1.63/1.86	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
1.63/1.86	              BOTTOM) & 
1.63/1.86	             (app_encode_app(a,a,
1.63/1.86	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xz) =
1.63/1.86	              TOP) & 
1.63/1.86	             (app_encode_app(a,a,
1.63/1.86	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xz) =
1.63/1.86	              BOTTOM)) =>
1.63/1.86	            (Xy = Xz))))))).
1.63/1.86	tff('0', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_Xy1(X0))
1.63/1.86	       = sk_TOP,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('1', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xz)
1.63/1.86	     = sk_BOTTOM,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('2', plain,
1.63/1.86	    ![X19 : a, X20 : a, X21 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X19), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X20), X21))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	             app_encode_app(a, a, 
1.63/1.86	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X19), X20)), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X19), X21)),
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('3', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_BOTTOM), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0)),
1.63/1.86	    inference('sup+', [status(thm)], ['1', '2'])).
1.63/1.86	tff('4', plain,
1.63/1.86	    ![X1 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_BOTTOM), X1)
1.63/1.86	       = X1,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('5', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0),
1.63/1.86	    inference('demod', [status(thm)], ['3', '4'])).
1.63/1.86	tff('6', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_TOP)
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	         sk_Xy1(sk_Xz)),
1.63/1.86	    inference('sup+', [status(thm)], ['0', '5'])).
1.63/1.86	tff('7', plain,
1.63/1.86	    ![X13 : a, X14 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X14), X13)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X14),
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('8', plain,
1.63/1.86	    ![X25 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_TOP), X25)
1.63/1.86	       = X25,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('9', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), sk_TOP)
1.63/1.86	       = X0,
1.63/1.86	    inference('sup+', [status(thm)], ['7', '8'])).
1.63/1.86	tff('10', plain,
1.63/1.86	    sk_Xx
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	         sk_Xy1(sk_Xz)),
1.63/1.86	    inference('demod', [status(thm)], ['6', '9'])).
1.63/1.86	tff('11', plain,
1.63/1.86	    ![X15 : a, X16 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	          app_encode_app(a, a, 
1.63/1.86	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X16), X15)), 
1.63/1.86	        X15)
1.63/1.86	       = X15,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('12', plain,
1.63/1.86	    ![X11 : a, X12 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X12), X11)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X11), X12),
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('13', plain,
1.63/1.86	    ![X15 : a, X16 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X15), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X16), X15))
1.63/1.86	       = X15,
1.63/1.86	    inference('demod', [status(thm)], ['11', '12'])).
1.63/1.86	tff('14', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy1(sk_Xz)), sk_Xx)
1.63/1.86	     = sk_Xy1(sk_Xz),
1.63/1.86	    inference('sup+', [status(thm)], ['10', '13'])).
1.63/1.86	tff('15', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy1(sk_Xz))
1.63/1.86	     = sk_Xy1(sk_Xz),
1.63/1.86	    inference('demod', [status(thm)], ['14', '12'])).
1.63/1.86	tff('16', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy)
1.63/1.86	     = sk_TOP,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('17', plain,
1.63/1.86	    ![X5 : a, X6 : a, X7 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	          app_encode_app(a, a, 
1.63/1.86	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X6)), X7)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)),
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('18', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_TOP), X0)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)),
1.63/1.86	    inference('sup+', [status(thm)], ['16', '17'])).
1.63/1.86	tff('19', plain,
1.63/1.86	    ![X26 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_TOP), X26)
1.63/1.86	       = sk_TOP,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('20', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      sk_TOP
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)),
1.63/1.86	    inference('demod', [status(thm)], ['18', '19'])).
1.63/1.86	tff('21', plain,
1.63/1.86	    ![X17 : a, X18 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
1.63/1.86	          app_encode_app(a, a, 
1.63/1.86	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X18), X17)), 
1.63/1.86	        X17)
1.63/1.86	       = X17,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('22', plain,
1.63/1.86	    ![X17 : a, X18 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X17), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X18), X17))
1.63/1.86	       = X17,
1.63/1.86	    inference('demod', [status(thm)], ['21', '7'])).
1.63/1.86	tff('23', plain,
1.63/1.86	    ![X0 : a, X1 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
1.63/1.86	       = X1,
1.63/1.86	    inference('sup+', [status(thm)], ['12', '22'])).
1.63/1.86	tff('24', plain,
1.63/1.86	    ![X0 : a, X1 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	          app_encode_app(a, a, 
1.63/1.86	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), X0)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
1.63/1.86	    inference('sup+', [status(thm)], ['23', '13'])).
1.63/1.86	tff('25', plain,
1.63/1.86	    ![X0 : a, X1 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
1.63/1.86	    inference('demod', [status(thm)], ['24', '17'])).
1.63/1.86	tff('26', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	          app_encode_app(a, a, 
1.63/1.86	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)), 
1.63/1.86	        sk_TOP)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	             app_encode_app(a, a, 
1.63/1.86	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0)), 
1.63/1.86	           sk_Xx),
1.63/1.86	    inference('sup+', [status(thm)], ['20', '25'])).
1.63/1.86	tff('27', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_TOP)
1.63/1.86	       = sk_TOP,
1.63/1.86	    inference('sup+', [status(thm)], ['12', '19'])).
1.63/1.86	tff('28', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      sk_TOP
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_Xx)),
1.63/1.86	    inference('demod', [status(thm)], ['26', '17', '27', '27', '17'])).
1.63/1.86	tff('29', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      sk_TOP
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), X0)),
1.63/1.86	    inference('sup+', [status(thm)], ['12', '28'])).
1.63/1.86	tff('30', plain,
1.63/1.86	    sk_TOP
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), 
1.63/1.86	         sk_Xy1(sk_Xz)),
1.63/1.86	    inference('sup+', [status(thm)], ['15', '29'])).
1.63/1.86	tff('31', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), sk_Xy1(X0))
1.63/1.86	       = sk_BOTTOM,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('32', plain,
1.63/1.86	    ![X0 : a, X1 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), sk_Xy1(X0)))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	             app_encode_app(a, a, 
1.63/1.86	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)), 
1.63/1.86	           sk_BOTTOM),
1.63/1.86	    inference('sup+', [status(thm)], ['31', '2'])).
1.63/1.86	tff('33', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_BOTTOM)
1.63/1.86	       = X0,
1.63/1.86	    inference('sup+', [status(thm)], ['12', '4'])).
1.63/1.86	tff('34', plain,
1.63/1.86	    ![X0 : a, X1 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), sk_Xy1(X0)))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
1.63/1.86	    inference('demod', [status(thm)], ['32', '33'])).
1.63/1.86	tff('35', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz), sk_TOP)
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xz), sk_Xy),
1.63/1.86	    inference('sup+', [status(thm)], ['30', '34'])).
1.63/1.86	tff('36', plain,
1.63/1.86	    sk_Xz
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz),
1.63/1.86	    inference('demod', [status(thm)], ['35', '9', '7'])).
1.63/1.86	tff('37', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xy)
1.63/1.86	     = sk_BOTTOM,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('38', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_BOTTOM), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0)),
1.63/1.86	    inference('sup+', [status(thm)], ['37', '2'])).
1.63/1.86	tff('39', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	        app_encode_app(a, a, 
1.63/1.86	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), X0))
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), X0),
1.63/1.86	    inference('demod', [status(thm)], ['38', '4'])).
1.63/1.86	tff('40', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_TOP)
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	         sk_Xy1(sk_Xy)),
1.63/1.86	    inference('sup+', [status(thm)], ['0', '39'])).
1.63/1.86	tff('41', plain,
1.63/1.86	    sk_Xx
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.63/1.86	         sk_Xy1(sk_Xy)),
1.63/1.86	    inference('demod', [status(thm)], ['40', '9'])).
1.63/1.86	tff('42', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy1(sk_Xy)), sk_Xx)
1.63/1.86	     = sk_Xy1(sk_Xy),
1.63/1.86	    inference('sup+', [status(thm)], ['41', '13'])).
1.63/1.86	tff('43', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xy1(sk_Xy))
1.63/1.86	     = sk_Xy1(sk_Xy),
1.63/1.86	    inference('demod', [status(thm)], ['42', '12'])).
1.63/1.86	tff('44', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), sk_Xz)
1.63/1.86	     = sk_TOP,
1.63/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('45', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_TOP), X0)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)),
1.63/1.86	    inference('sup+', [status(thm)], ['44', '17'])).
1.63/1.86	tff('46', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      sk_TOP
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)),
1.63/1.86	    inference('demod', [status(thm)], ['45', '19'])).
1.63/1.86	tff('47', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      app_encode_app(a, a, 
1.63/1.86	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	          app_encode_app(a, a, 
1.63/1.86	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)), 
1.63/1.86	        sk_TOP)
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.63/1.86	             app_encode_app(a, a, 
1.63/1.86	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), X0)), 
1.63/1.86	           sk_Xx),
1.63/1.86	    inference('sup+', [status(thm)], ['46', '25'])).
1.63/1.86	tff('48', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      sk_TOP
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), sk_Xx)),
1.63/1.86	    inference('demod', [status(thm)], ['47', '17', '27', '27', '17'])).
1.63/1.86	tff('49', plain,
1.63/1.86	    ![X0 : a]:
1.63/1.86	      sk_TOP
1.63/1.86	       = app_encode_app(a, a, 
1.63/1.86	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), 
1.63/1.86	           app_encode_app(a, a, 
1.63/1.86	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xx), X0)),
1.63/1.86	    inference('sup+', [status(thm)], ['12', '48'])).
1.63/1.86	tff('50', plain,
1.63/1.86	    sk_TOP
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xz), 
1.63/1.86	         sk_Xy1(sk_Xy)),
1.63/1.86	    inference('sup+', [status(thm)], ['43', '49'])).
1.63/1.86	tff('51', plain,
1.63/1.86	    app_encode_app(a, a, 
1.63/1.86	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_TOP)
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz),
1.63/1.86	    inference('sup+', [status(thm)], ['50', '34'])).
1.63/1.86	tff('52', plain,
1.63/1.86	    sk_Xy
1.63/1.86	     = app_encode_app(a, a, 
1.63/1.86	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xz),
1.63/1.86	    inference('demod', [status(thm)], ['51', '9'])).
1.63/1.86	tff('53', plain, sk_Xy = sk_Xz,
1.63/1.86	    inference('sup+', [status(thm)], ['36', '52'])).
1.63/1.86	tff('54', plain, sk_Xy != sk_Xz, inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.86	tff('55', plain, $false,
1.63/1.86	    inference('simplify_reflect-', [status(thm)], ['53', '54'])).
1.63/1.86	
1.63/1.86	% SZS output end Refutation
1.63/1.86	EOF
