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   : n106.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
0.00/0.31	% done 130 iterations in 0.116s
0.00/0.31	% SZS status Theorem for 'stdin'
0.00/0.31	% SZS output start Refutation
0.00/0.32	tff(zf_stmt_3, conjecture,
0.00/0.32	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
0.00/0.32	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
0.00/0.32	     (((![Xx:a]:
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          Xx) =
0.00/0.32	           Xx)) & 
0.00/0.32	       (![Xx:a]:
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          Xx) =
0.00/0.32	           Xx)) & 
0.00/0.32	       (![Xx:a,Xy:a,Xz:a]:
0.00/0.32	          (app_encode_app(a,a,
0.00/0.32	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.32	                                         app_encode_app(a,a,
0.00/0.32	                                                        app_encode_app(
0.00/0.32	                                                        a,
0.00/0.32	                                                        app_encode_fun(a,a),
0.00/0.32	                                                        JOIN,Xx),Xy)),
0.00/0.32	                          Xz) =
0.00/0.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          app_encode_app(a,a,
0.00/0.32	                                         app_encode_app(a,
0.00/0.32	                                                        app_encode_fun(a,a),
0.00/0.32	                                                        JOIN,Xy),
0.00/0.32	                                         Xz)))) & 
0.00/0.32	       (![Xx:a,Xy:a,Xz:a]:
0.00/0.32	          (app_encode_app(a,a,
0.00/0.32	                          app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.32	                                         app_encode_app(a,a,
0.00/0.32	                                                        app_encode_app(
0.00/0.32	                                                        a,
0.00/0.32	                                                        app_encode_fun(a,a),
0.00/0.32	                                                        MEET,Xx),Xy)),
0.00/0.32	                          Xz) =
0.00/0.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          app_encode_app(a,a,
0.00/0.32	                                         app_encode_app(a,
0.00/0.32	                                                        app_encode_fun(a,a),
0.00/0.32	                                                        MEET,Xy),
0.00/0.32	                                         Xz)))) & 
0.00/0.32	       (![Xx:a,Xy:a]:
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          Xy) =
0.00/0.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
0.00/0.32	                          Xx))) & 
0.00/0.32	       (![Xx:a,Xy:a]:
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          Xy) =
0.00/0.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
0.00/0.32	                          Xx))) & 
0.00/0.32	       (![Xx:a,Xy:a]:
0.00/0.32	          (app_encode_app(a,a,
0.00/0.32	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.32	                                         app_encode_app(a,a,
0.00/0.32	                                                        app_encode_app(
0.00/0.32	                                                        a,
0.00/0.32	                                                        app_encode_fun(a,a),
0.00/0.32	                                                        MEET,Xx),Xy)),
0.00/0.32	                          Xy) =
0.00/0.32	           Xy)) & 
0.00/0.32	       (![Xx:a,Xy:a]:
0.00/0.32	          (app_encode_app(a,a,
0.00/0.32	                          app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.32	                                         app_encode_app(a,a,
0.00/0.32	                                                        app_encode_app(
0.00/0.32	                                                        a,
0.00/0.32	                                                        app_encode_fun(a,a),
0.00/0.32	                                                        JOIN,Xx),Xy)),
0.00/0.32	                          Xy) =
0.00/0.32	           Xy)) & 
0.00/0.32	       (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.32	          ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & (Xb != Xc) & 
0.00/0.32	           (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & (Xc != Xy) & (Xx != Xy))) & 
0.00/0.32	       (~
0.00/0.32	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                            app_encode_app(a,a,
0.00/0.32	                                           app_encode_app(a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          MEET,Xy),
0.00/0.32	                                           app_encode_app(a,a,
0.00/0.32	                                                          app_encode_app(
0.00/0.32	                                                          a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          JOIN,Xx),Xz))) =
0.00/0.32	             app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.32	                                           app_encode_app(a,a,
0.00/0.32	                                                          app_encode_app(
0.00/0.32	                                                          a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          JOIN,Xx),Xy)),
0.00/0.32	                            app_encode_app(a,a,
0.00/0.32	                                           app_encode_app(a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          JOIN,Xx),
0.00/0.32	                                           Xz)))))) =>
0.00/0.32	      (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.32	         ((app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          Xy) =
0.00/0.32	           Xy) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          Xy) =
0.00/0.32	           Xx) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          Xa) =
0.00/0.32	           Xa) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          Xa) =
0.00/0.32	           Xx) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          Xb) =
0.00/0.32	           Xb) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          Xb) =
0.00/0.32	           Xx) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                          Xc) =
0.00/0.32	           Xc) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                          Xc) =
0.00/0.32	           Xx) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
0.00/0.32	                          Xb) =
0.00/0.32	           Xy) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
0.00/0.32	                          Xb) =
0.00/0.32	           Xx) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
0.00/0.32	                          Xc) =
0.00/0.32	           Xa) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
0.00/0.32	                          Xc) =
0.00/0.32	           Xc) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
0.00/0.32	                          Xy) =
0.00/0.32	           Xy) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
0.00/0.32	                          Xy) =
0.00/0.32	           Xa) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
0.00/0.32	                          Xc) =
0.00/0.32	           Xy) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
0.00/0.32	                          Xc) =
0.00/0.32	           Xx) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
0.00/0.32	                          Xy) =
0.00/0.32	           Xy) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
0.00/0.32	                          Xy) =
0.00/0.32	           Xb) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xc),
0.00/0.32	                          Xy) =
0.00/0.32	           Xy) & 
0.00/0.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),
0.00/0.32	                          Xy) =
0.00/0.32	           Xc)))))).
0.00/0.32	tff(zf_stmt_0, negated_conjecture,
0.00/0.32	  (~
0.00/0.32	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
0.00/0.32	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
0.00/0.32	       (((![Xx:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
0.00/0.32	             Xx)) & 
0.00/0.32	         (![Xx:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
0.00/0.32	             Xx)) & 
0.00/0.32	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.32	                                           app_encode_app(a,a,
0.00/0.32	                                                          app_encode_app(
0.00/0.32	                                                          a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          JOIN,Xx),Xy)),
0.00/0.32	                            Xz) =
0.00/0.32	             app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                            app_encode_app(a,a,
0.00/0.32	                                           app_encode_app(a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          JOIN,Xy),
0.00/0.32	                                           Xz)))) & 
0.00/0.32	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.32	                                           app_encode_app(a,a,
0.00/0.32	                                                          app_encode_app(
0.00/0.32	                                                          a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          MEET,Xx),Xy)),
0.00/0.32	                            Xz) =
0.00/0.32	             app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.32	                            app_encode_app(a,a,
0.00/0.32	                                           app_encode_app(a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          MEET,Xy),
0.00/0.32	                                           Xz)))) & 
0.00/0.32	         (![Xx:a,Xy:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
0.00/0.32	             app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
0.00/0.32	         (![Xx:a,Xy:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
0.00/0.32	             app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
0.00/0.32	         (![Xx:a,Xy:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.32	                                           app_encode_app(a,a,
0.00/0.32	                                                          app_encode_app(
0.00/0.32	                                                          a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          MEET,Xx),Xy)),
0.00/0.32	                            Xy) =
0.00/0.32	             Xy)) & 
0.00/0.32	         (![Xx:a,Xy:a]:
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.32	                                           app_encode_app(a,a,
0.00/0.32	                                                          app_encode_app(
0.00/0.32	                                                          a,
0.00/0.32	                                                          app_encode_fun(a,a),
0.00/0.32	                                                          JOIN,Xx),Xy)),
0.00/0.32	                            Xy) =
0.00/0.32	             Xy)) & 
0.00/0.32	         (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.32	            ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & 
0.00/0.32	             (Xb != Xc) & (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & 
0.00/0.32	             (Xc != Xy) & (Xx != Xy))) & 
0.00/0.32	         (~
0.00/0.32	           (![Xx:a,Xy:a,Xz:a]:
0.00/0.32	              (app_encode_app(a,a,
0.00/0.32	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.32	                              app_encode_app(a,a,
0.00/0.32	                                             app_encode_app(a,
0.00/0.32	                                                            app_encode_fun(
0.00/0.32	                                                            a,a),MEET,Xy),
0.00/0.32	                                             app_encode_app(a,a,
0.00/0.32	                                                            app_encode_app(
0.00/0.32	                                                            a,
0.00/0.32	                                                            app_encode_fun(
0.00/0.32	                                                            a,a),JOIN,Xx),Xz))) =
0.00/0.32	               app_encode_app(a,a,
0.00/0.32	                              app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.32	                                             app_encode_app(a,a,
0.00/0.32	                                                            app_encode_app(
0.00/0.32	                                                            a,
0.00/0.32	                                                            app_encode_fun(
0.00/0.32	                                                            a,a),JOIN,Xx),Xy)),
0.00/0.32	                              app_encode_app(a,a,
0.00/0.32	                                             app_encode_app(a,
0.00/0.32	                                                            app_encode_fun(
0.00/0.32	                                                            a,a),JOIN,Xx),
0.00/0.32	                                             Xz)))))) =>
0.00/0.32	        (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.32	           ((app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
0.00/0.32	             Xy) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
0.00/0.32	             Xx) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xa) =
0.00/0.32	             Xa) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xa) =
0.00/0.32	             Xx) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xb) =
0.00/0.32	             Xb) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xb) =
0.00/0.32	             Xx) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xc) =
0.00/0.32	             Xc) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xc) =
0.00/0.32	             Xx) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xb) =
0.00/0.32	             Xy) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xb) =
0.00/0.32	             Xx) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xc) =
0.00/0.32	             Xa) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xc) =
0.00/0.32	             Xc) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xy) =
0.00/0.32	             Xy) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xy) =
0.00/0.32	             Xa) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xc) =
0.00/0.32	             Xy) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xc) =
0.00/0.32	             Xx) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xy) =
0.00/0.32	             Xy) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xy) =
0.00/0.32	             Xb) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xc),Xy) =
0.00/0.32	             Xy) & 
0.00/0.32	            (app_encode_app(a,a,
0.00/0.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),Xy) =
0.00/0.32	             Xc))))))).
0.00/0.32	tff('0', plain,
0.00/0.32	    ![X15 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X15), X15)
0.00/0.32	       = X15,
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('1', plain,
0.00/0.32	    ![X14 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X14), X14)
0.00/0.32	       = X14,
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('2', plain,
0.00/0.32	    ![X0 : a, X1 : a, X2 : a, X3 : a, X4 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	        != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X2)
0.00/0.32	          != X2
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X2)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X3)
0.00/0.32	          != X3
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X3)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X0)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X0)
0.00/0.32	          != X2
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X3), X0)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X3), X0)
0.00/0.32	          != X3
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X0)
0.00/0.32	          != X4
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), X0)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X3), X4)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X3), X4)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X4)
0.00/0.32	          != X4
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X4)
0.00/0.32	          != X2
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X4)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X4)
0.00/0.32	          != X4),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('3', plain,
0.00/0.32	    ![X2 : a, X3 : a, X4 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), X4)
0.00/0.32	        != X4
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           X4)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X4)
0.00/0.32	          != X2
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X4)
0.00/0.32	          != X4
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X3), X4)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X3), X4)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X4), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != X4
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X3), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != X3
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X3), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != X2
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           X3)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           X3)
0.00/0.32	          != X3
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           X2)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           X2)
0.00/0.32	          != X2
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X2), X3)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X2), X3)),
0.00/0.32	    inference('simplify', [status(thm)], ['2'])).
0.00/0.32	tff('4', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	        != app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X1)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X1)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X0)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['1', '3'])).
0.00/0.32	tff('5', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	         app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	        != app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X0)
0.00/0.32	          != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X1)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           X1)
0.00/0.32	          != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['4'])).
0.00/0.32	tff('6', plain,
0.00/0.32	    ![X16 : a, X17 : a, X18 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X16), X17)), 
0.00/0.32	        X18)
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X16), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X17), X18)),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('7', plain,
0.00/0.32	    ![X5 : a, X6 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X5)), X5)
0.00/0.32	       = X5,
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('8', plain,
0.00/0.32	    ![X9 : a, X10 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X10), X9)
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X9), X10),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('9', plain,
0.00/0.32	    ![X5 : a, X6 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X5))
0.00/0.32	       = X5,
0.00/0.32	    inference('demod', [status(thm)], ['7', '8'])).
0.00/0.32	tff('10', plain,
0.00/0.32	    ![X7 : a, X8 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X7)), X7)
0.00/0.32	       = X7,
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('11', plain,
0.00/0.32	    ![X19 : a, X20 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X20), X19)
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X19), X20),
0.00/0.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.32	tff('12', plain,
0.00/0.32	    ![X7 : a, X8 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X7))
0.00/0.32	       = X7,
0.00/0.32	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.32	tff('13', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), X0)
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0),
0.00/0.32	    inference('sup+', [status(thm)], ['9', '12'])).
0.00/0.32	tff('14', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0),
0.00/0.32	    inference('demod', [status(thm)], ['13', '11'])).
0.00/0.32	tff('15', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.32	       = X1,
0.00/0.32	    inference('sup+', [status(thm)], ['11', '9'])).
0.00/0.32	tff('16', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), X0)
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
0.00/0.32	    inference('sup+', [status(thm)], ['15', '12'])).
0.00/0.32	tff('17', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1))
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
0.00/0.32	    inference('demod', [status(thm)], ['16', '11'])).
0.00/0.32	tff('18', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)), X1)
0.00/0.32	       = X1,
0.00/0.32	    inference('sup+', [status(thm)], ['8', '10'])).
0.00/0.32	tff('19', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	       = X1,
0.00/0.32	    inference('demod', [status(thm)], ['18', '11'])).
0.00/0.32	tff('20', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	          app_encode_app(a, a, 
0.00/0.32	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)), X0)
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
0.00/0.32	    inference('sup+', [status(thm)], ['19', '9'])).
0.00/0.32	tff('21', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1))
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
0.00/0.32	    inference('demod', [status(thm)], ['20', '8'])).
0.00/0.32	tff('22', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      app_encode_app(a, a, 
0.00/0.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	        app_encode_app(a, a, 
0.00/0.32	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	       = app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
0.00/0.32	    inference('sup+', [status(thm)], ['8', '21'])).
0.00/0.32	tff('23', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	        != app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | X1 != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | X0
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | X0 != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | X1 != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | X0 != X0
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | X1 != X1
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	             app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.32	    inference('demod', [status(thm)],
0.00/0.32	              ['5', '6', '14', '17', '15', '17', '9', '14', '12', '22', 
0.00/0.32	               '19', '21', '6', '0', '8', '9', '6', '14', '8', '15', '6', 
0.00/0.32	               '12'])).
0.00/0.32	tff('24', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	         app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	        != app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.32	       | app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | X0
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.32	    inference('simplify', [status(thm)], ['23'])).
0.00/0.32	tff('25', plain,
0.00/0.32	    ![X0 : a, X1 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.32	           app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.32	         app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.32	        != app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.32	       | X0
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.32	    inference('simplify_reflect+', [status(thm)], ['24', '8', '11'])).
0.00/0.32	tff('26', plain,
0.00/0.32	    ![X0 : a]:
0.00/0.32	      (app_encode_app(a, a, 
0.00/0.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.32	         app_encode_app(a, a, 
0.00/0.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X0))
0.00/0.32	        != app_encode_app(a, a, 
0.00/0.32	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X0)
0.00/0.32	       | X0
0.00/0.32	          != app_encode_app(a, a, 
0.00/0.32	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X0)),
0.00/0.32	    inference('sup-', [status(thm)], ['0', '25'])).
0.00/0.32	tff('27', plain, ![X0 : a]: (X0 != X0 | X0 != X0),
0.00/0.32	    inference('demod', [status(thm)], ['26', '1', '1', '1', '1'])).
0.00/0.32	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.00/0.32	
0.00/0.32	% SZS output end Refutation
0.00/0.32	EOF
