0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n123.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:31:39 CST 2018
0.00/0.34	% done 137 iterations in 0.133s
0.00/0.34	% SZS status Theorem for 'stdin'
0.00/0.34	% SZS output start Refutation
0.00/0.35	tff(zf_stmt_4, conjecture,
0.00/0.35	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
0.00/0.35	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
0.00/0.35	     (((![Xx:a]:
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          Xx) =
0.00/0.35	           Xx)) & 
0.00/0.35	       (![Xx:a]:
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          Xx) =
0.00/0.35	           Xx)) & 
0.00/0.35	       (![Xx:a,Xy:a,Xz:a]:
0.00/0.35	          (app_encode_app(a,a,
0.00/0.35	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.35	                                         app_encode_app(a,a,
0.00/0.35	                                                        app_encode_app(
0.00/0.35	                                                        a,
0.00/0.35	                                                        app_encode_fun(a,a),
0.00/0.35	                                                        JOIN,Xx),Xy)),
0.00/0.35	                          Xz) =
0.00/0.35	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          app_encode_app(a,a,
0.00/0.35	                                         app_encode_app(a,
0.00/0.35	                                                        app_encode_fun(a,a),
0.00/0.35	                                                        JOIN,Xy),
0.00/0.35	                                         Xz)))) & 
0.00/0.35	       (![Xx:a,Xy:a,Xz:a]:
0.00/0.35	          (app_encode_app(a,a,
0.00/0.35	                          app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.35	                                         app_encode_app(a,a,
0.00/0.35	                                                        app_encode_app(
0.00/0.35	                                                        a,
0.00/0.35	                                                        app_encode_fun(a,a),
0.00/0.35	                                                        MEET,Xx),Xy)),
0.00/0.35	                          Xz) =
0.00/0.35	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          app_encode_app(a,a,
0.00/0.35	                                         app_encode_app(a,
0.00/0.35	                                                        app_encode_fun(a,a),
0.00/0.35	                                                        MEET,Xy),
0.00/0.35	                                         Xz)))) & 
0.00/0.35	       (![Xx:a,Xy:a]:
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          Xy) =
0.00/0.35	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
0.00/0.35	                          Xx))) & 
0.00/0.35	       (![Xx:a,Xy:a]:
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          Xy) =
0.00/0.35	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
0.00/0.35	                          Xx))) & 
0.00/0.35	       (![Xx:a,Xy:a]:
0.00/0.35	          (app_encode_app(a,a,
0.00/0.35	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.35	                                         app_encode_app(a,a,
0.00/0.35	                                                        app_encode_app(
0.00/0.35	                                                        a,
0.00/0.35	                                                        app_encode_fun(a,a),
0.00/0.35	                                                        MEET,Xx),Xy)),
0.00/0.35	                          Xy) =
0.00/0.35	           Xy)) & 
0.00/0.35	       (![Xx:a,Xy:a]:
0.00/0.35	          (app_encode_app(a,a,
0.00/0.35	                          app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.35	                                         app_encode_app(a,a,
0.00/0.35	                                                        app_encode_app(
0.00/0.35	                                                        a,
0.00/0.35	                                                        app_encode_fun(a,a),
0.00/0.35	                                                        JOIN,Xx),Xy)),
0.00/0.35	                          Xy) =
0.00/0.35	           Xy)) & 
0.00/0.35	       (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.35	          ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & (Xb != Xc) & 
0.00/0.35	           (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & (Xc != Xy) & (Xx != Xy))) & 
0.00/0.35	       (~
0.00/0.35	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                            app_encode_app(a,a,
0.00/0.35	                                           app_encode_app(a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          MEET,Xy),
0.00/0.35	                                           app_encode_app(a,a,
0.00/0.35	                                                          app_encode_app(
0.00/0.35	                                                          a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          JOIN,Xx),Xz))) =
0.00/0.35	             app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.35	                                           app_encode_app(a,a,
0.00/0.35	                                                          app_encode_app(
0.00/0.35	                                                          a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          JOIN,Xx),Xy)),
0.00/0.35	                            app_encode_app(a,a,
0.00/0.35	                                           app_encode_app(a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          JOIN,Xx),
0.00/0.35	                                           Xz)))))) =>
0.00/0.35	      (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.35	         ((app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          Xy) =
0.00/0.35	           Xy) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          Xy) =
0.00/0.35	           Xx) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          Xa) =
0.00/0.35	           Xa) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          Xa) =
0.00/0.35	           Xx) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          Xb) =
0.00/0.35	           Xb) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          Xb) =
0.00/0.35	           Xx) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                          Xc) =
0.00/0.35	           Xc) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                          Xc) =
0.00/0.35	           Xx) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
0.00/0.35	                          Xb) =
0.00/0.35	           Xy) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
0.00/0.35	                          Xb) =
0.00/0.35	           Xx) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
0.00/0.35	                          Xc) =
0.00/0.35	           Xa) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
0.00/0.35	                          Xc) =
0.00/0.35	           Xc) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
0.00/0.35	                          Xy) =
0.00/0.35	           Xy) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
0.00/0.35	                          Xy) =
0.00/0.35	           Xa) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
0.00/0.35	                          Xc) =
0.00/0.35	           Xy) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
0.00/0.35	                          Xc) =
0.00/0.35	           Xx) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
0.00/0.35	                          Xy) =
0.00/0.35	           Xy) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
0.00/0.35	                          Xy) =
0.00/0.35	           Xb) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xc),
0.00/0.35	                          Xy) =
0.00/0.35	           Xy) & 
0.00/0.35	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),
0.00/0.35	                          Xy) =
0.00/0.35	           Xc)))))).
0.00/0.35	tff(zf_stmt_0, negated_conjecture,
0.00/0.35	  (~
0.00/0.35	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
0.00/0.35	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
0.00/0.35	       (((![Xx:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
0.00/0.35	             Xx)) & 
0.00/0.35	         (![Xx:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
0.00/0.35	             Xx)) & 
0.00/0.35	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.35	                                           app_encode_app(a,a,
0.00/0.35	                                                          app_encode_app(
0.00/0.35	                                                          a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          JOIN,Xx),Xy)),
0.00/0.35	                            Xz) =
0.00/0.35	             app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                            app_encode_app(a,a,
0.00/0.35	                                           app_encode_app(a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          JOIN,Xy),
0.00/0.35	                                           Xz)))) & 
0.00/0.35	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.35	                                           app_encode_app(a,a,
0.00/0.35	                                                          app_encode_app(
0.00/0.35	                                                          a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          MEET,Xx),Xy)),
0.00/0.35	                            Xz) =
0.00/0.35	             app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
0.00/0.35	                            app_encode_app(a,a,
0.00/0.35	                                           app_encode_app(a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          MEET,Xy),
0.00/0.35	                                           Xz)))) & 
0.00/0.35	         (![Xx:a,Xy:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
0.00/0.35	             app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
0.00/0.35	         (![Xx:a,Xy:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
0.00/0.35	             app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
0.00/0.35	         (![Xx:a,Xy:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
0.00/0.35	                                           app_encode_app(a,a,
0.00/0.35	                                                          app_encode_app(
0.00/0.35	                                                          a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          MEET,Xx),Xy)),
0.00/0.35	                            Xy) =
0.00/0.35	             Xy)) & 
0.00/0.35	         (![Xx:a,Xy:a]:
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.35	                                           app_encode_app(a,a,
0.00/0.35	                                                          app_encode_app(
0.00/0.35	                                                          a,
0.00/0.35	                                                          app_encode_fun(a,a),
0.00/0.35	                                                          JOIN,Xx),Xy)),
0.00/0.35	                            Xy) =
0.00/0.35	             Xy)) & 
0.00/0.35	         (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.35	            ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & 
0.00/0.35	             (Xb != Xc) & (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & 
0.00/0.35	             (Xc != Xy) & (Xx != Xy))) & 
0.00/0.35	         (~
0.00/0.35	           (![Xx:a,Xy:a,Xz:a]:
0.00/0.35	              (app_encode_app(a,a,
0.00/0.35	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
0.00/0.35	                              app_encode_app(a,a,
0.00/0.35	                                             app_encode_app(a,
0.00/0.35	                                                            app_encode_fun(
0.00/0.35	                                                            a,a),MEET,Xy),
0.00/0.35	                                             app_encode_app(a,a,
0.00/0.35	                                                            app_encode_app(
0.00/0.35	                                                            a,
0.00/0.35	                                                            app_encode_fun(
0.00/0.35	                                                            a,a),JOIN,Xx),Xz))) =
0.00/0.35	               app_encode_app(a,a,
0.00/0.35	                              app_encode_app(a,app_encode_fun(a,a),MEET,
0.00/0.35	                                             app_encode_app(a,a,
0.00/0.35	                                                            app_encode_app(
0.00/0.35	                                                            a,
0.00/0.35	                                                            app_encode_fun(
0.00/0.35	                                                            a,a),JOIN,Xx),Xy)),
0.00/0.35	                              app_encode_app(a,a,
0.00/0.35	                                             app_encode_app(a,
0.00/0.35	                                                            app_encode_fun(
0.00/0.35	                                                            a,a),JOIN,Xx),
0.00/0.35	                                             Xz)))))) =>
0.00/0.35	        (?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
0.00/0.35	           ((app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
0.00/0.35	             Xy) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
0.00/0.35	             Xx) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xa) =
0.00/0.35	             Xa) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xa) =
0.00/0.35	             Xx) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xb) =
0.00/0.35	             Xb) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xb) =
0.00/0.35	             Xx) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xc) =
0.00/0.35	             Xc) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xc) =
0.00/0.35	             Xx) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xb) =
0.00/0.35	             Xy) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xb) =
0.00/0.35	             Xx) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xc) =
0.00/0.35	             Xa) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xc) =
0.00/0.35	             Xc) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xy) =
0.00/0.35	             Xy) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xy) =
0.00/0.35	             Xa) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xc) =
0.00/0.35	             Xy) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xc) =
0.00/0.35	             Xx) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xy) =
0.00/0.35	             Xy) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xy) =
0.00/0.35	             Xb) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xc),Xy) =
0.00/0.35	             Xy) & 
0.00/0.35	            (app_encode_app(a,a,
0.00/0.35	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),Xy) =
0.00/0.35	             Xc))))))).
0.00/0.35	tff('0', plain,
0.00/0.35	    ![X19 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X19), X19)
0.00/0.35	       = X19,
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('1', plain,
0.00/0.35	    ![X18 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X18), X18)
0.00/0.35	       = X18,
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('2', plain,
0.00/0.35	    ![X4 : a, X5 : a, X6 : a, X7 : a, X8 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), X4)
0.00/0.35	        != X4
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X4)
0.00/0.35	          != X5
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), X6)
0.00/0.35	          != X6
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X6)
0.00/0.35	          != X5
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), X7)
0.00/0.35	          != X7
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X7)
0.00/0.35	          != X5
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7)
0.00/0.35	          != X4
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)
0.00/0.35	          != X5
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X4)
0.00/0.35	          != X4
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X4)
0.00/0.35	          != X6
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X7), X4)
0.00/0.35	          != X4
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X4)
0.00/0.35	          != X7
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X8), X4)
0.00/0.35	          != X8
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X4)
0.00/0.35	          != X4
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X8)
0.00/0.35	          != X5
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X7), X8)
0.00/0.35	          != X4
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X8)
0.00/0.35	          != X8
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X8)
0.00/0.35	          != X6
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X5), X8)
0.00/0.35	          != X5
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), X8)
0.00/0.35	          != X8),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('3', plain,
0.00/0.35	    ![X6 : a, X7 : a, X8 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), X8)
0.00/0.35	        != X8
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           X8)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X8)
0.00/0.35	          != X6
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X8)
0.00/0.35	          != X8
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X7), X8)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), X8)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X8), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != X8
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X7), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != X7
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X7), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != X6
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           X7)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           X7)
0.00/0.35	          != X7
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           X6)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           X6)
0.00/0.35	          != X6
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X6), X7)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X7)),
0.00/0.35	    inference('simplify', [status(thm)], ['2'])).
0.00/0.35	tff('4', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	        != app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X1)
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X0)
0.00/0.35	          != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
0.00/0.35	    inference('sup-', [status(thm)], ['1', '3'])).
0.00/0.35	tff('5', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	        != app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X1)
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X0)
0.00/0.35	          != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)),
0.00/0.35	    inference('demod', [status(thm)], ['4', '0'])).
0.00/0.35	tff('6', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	         app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	        != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X0)
0.00/0.35	          != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           X1)
0.00/0.35	          != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.35	    inference('simplify', [status(thm)], ['5'])).
0.00/0.35	tff('7', plain,
0.00/0.35	    ![X23 : a, X24 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X24), X23)
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X23), X24),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('8', plain,
0.00/0.35	    ![X9 : a, X10 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	          app_encode_app(a, a, 
0.00/0.35	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X10), X9)), X9)
0.00/0.35	       = X9,
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('9', plain,
0.00/0.35	    ![X13 : a, X14 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X14), X13)
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X13), X14),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('10', plain,
0.00/0.35	    ![X9 : a, X10 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X9), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X10), X9))
0.00/0.35	       = X9,
0.00/0.35	    inference('demod', [status(thm)], ['8', '9'])).
0.00/0.35	tff('11', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	       = X1,
0.00/0.35	    inference('sup+', [status(thm)], ['7', '10'])).
0.00/0.35	tff('12', plain,
0.00/0.35	    ![X11 : a, X12 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	          app_encode_app(a, a, 
0.00/0.35	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X12), X11)), 
0.00/0.35	        X11)
0.00/0.35	       = X11,
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('13', plain,
0.00/0.35	    ![X11 : a, X12 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X11), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X12), X11))
0.00/0.35	       = X11,
0.00/0.35	    inference('demod', [status(thm)], ['12', '7'])).
0.00/0.35	tff('14', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	          app_encode_app(a, a, 
0.00/0.35	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), X0)
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
0.00/0.35	    inference('sup+', [status(thm)], ['11', '13'])).
0.00/0.35	tff('15', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1))
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
0.00/0.35	    inference('demod', [status(thm)], ['14', '7'])).
0.00/0.35	tff('16', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0))
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1),
0.00/0.35	    inference('sup+', [status(thm)], ['7', '15'])).
0.00/0.35	tff('17', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	          app_encode_app(a, a, 
0.00/0.35	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)), X1)
0.00/0.35	       = X1,
0.00/0.35	    inference('sup+', [status(thm)], ['9', '12'])).
0.00/0.35	tff('18', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	       = X1,
0.00/0.35	    inference('demod', [status(thm)], ['17', '7'])).
0.00/0.35	tff('19', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	          app_encode_app(a, a, 
0.00/0.35	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)), X0)
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
0.00/0.35	    inference('sup+', [status(thm)], ['18', '10'])).
0.00/0.35	tff('20', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1))
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
0.00/0.35	    inference('demod', [status(thm)], ['19', '9'])).
0.00/0.35	tff('21', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	        app_encode_app(a, a, 
0.00/0.35	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1),
0.00/0.35	    inference('sup+', [status(thm)], ['9', '20'])).
0.00/0.35	tff('22', plain,
0.00/0.35	    ![X20 : a, X21 : a, X22 : a]:
0.00/0.35	      app_encode_app(a, a, 
0.00/0.35	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
0.00/0.35	          app_encode_app(a, a, 
0.00/0.35	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X20), X21)), 
0.00/0.35	        X22)
0.00/0.35	       = app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X20), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X21), X22)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('23', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      (X1 != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | X0
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | X0 != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | X1 != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | X0 != X0
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | X1 != X1
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	             app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.35	    inference('demod', [status(thm)],
0.00/0.35	              ['6', '11', '15', '10', '16', '13', '21', '18', '20', '22', 
0.00/0.35	               '0', '9', '10', '22', '16', '9', '11', '22', '13'])).
0.00/0.35	tff('24', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	         app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	        != app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)
0.00/0.35	       | X0
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.35	    inference('simplify', [status(thm)], ['23'])).
0.00/0.35	tff('25', plain,
0.00/0.35	    ![X0 : a, X1 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
0.00/0.35	           app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X1), X0)), 
0.00/0.35	         app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0))
0.00/0.35	        != app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)
0.00/0.35	       | X0
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), X0)),
0.00/0.35	    inference('simplify_reflect+', [status(thm)], ['24', '7', '9'])).
0.00/0.35	tff('26', plain,
0.00/0.35	    ![X0 : a]:
0.00/0.35	      (app_encode_app(a, a, 
0.00/0.35	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), 
0.00/0.35	         app_encode_app(a, a, 
0.00/0.35	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X0))
0.00/0.35	        != app_encode_app(a, a, 
0.00/0.35	             app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X0)
0.00/0.35	       | X0
0.00/0.35	          != app_encode_app(a, a, 
0.00/0.35	               app_encode_app(a, app_encode_fun(a, a), sk_MEET, X0), X0)),
0.00/0.35	    inference('sup-', [status(thm)], ['0', '25'])).
0.00/0.35	tff('27', plain, ![X0 : a]: (X0 != X0 | X0 != X0),
0.00/0.35	    inference('demod', [status(thm)], ['26', '1', '1', '1', '1'])).
0.00/0.35	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.00/0.35	
0.00/0.35	% SZS output end Refutation
0.00/0.35	EOF
