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    : kbo
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   : n037.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 17:26:54 CST 2018
1.11/1.34	% done 1425 iterations in 1.126s
1.11/1.34	% SZS status Theorem for 'stdin'
1.11/1.34	% SZS output start Refutation
1.11/1.34	tff(zf_stmt_4, conjecture,
1.11/1.34	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
1.11/1.34	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
1.11/1.34	     (((![Xx:a]:
1.11/1.34	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                          Xx) =
1.11/1.34	           Xx)) & 
1.11/1.34	       (![Xx:a]:
1.11/1.34	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                          Xx) =
1.11/1.34	           Xx)) & 
1.11/1.34	       (![Xx:a,Xy:a,Xz:a]:
1.11/1.34	          (app_encode_app(a,a,
1.11/1.34	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.11/1.34	                                         app_encode_app(a,a,
1.11/1.34	                                                        app_encode_app(
1.11/1.34	                                                        a,
1.11/1.34	                                                        app_encode_fun(a,a),
1.11/1.34	                                                        JOIN,Xx),Xy)),
1.11/1.34	                          Xz) =
1.11/1.34	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                          app_encode_app(a,a,
1.11/1.34	                                         app_encode_app(a,
1.11/1.34	                                                        app_encode_fun(a,a),
1.11/1.34	                                                        JOIN,Xy),
1.11/1.34	                                         Xz)))) & 
1.11/1.34	       (![Xx:a,Xy:a,Xz:a]:
1.11/1.34	          (app_encode_app(a,a,
1.11/1.34	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.11/1.34	                                         app_encode_app(a,a,
1.11/1.34	                                                        app_encode_app(
1.11/1.34	                                                        a,
1.11/1.34	                                                        app_encode_fun(a,a),
1.11/1.34	                                                        MEET,Xx),Xy)),
1.11/1.34	                          Xz) =
1.11/1.34	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                          app_encode_app(a,a,
1.11/1.34	                                         app_encode_app(a,
1.11/1.34	                                                        app_encode_fun(a,a),
1.11/1.34	                                                        MEET,Xy),
1.11/1.34	                                         Xz)))) & 
1.11/1.34	       (![Xx:a,Xy:a]:
1.11/1.34	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                          Xy) =
1.11/1.34	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
1.11/1.34	                          Xx))) & 
1.11/1.34	       (![Xx:a,Xy:a]:
1.11/1.34	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                          Xy) =
1.11/1.34	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
1.11/1.34	                          Xx))) & 
1.11/1.34	       (![Xx:a,Xy:a]:
1.11/1.34	          (app_encode_app(a,a,
1.11/1.34	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.11/1.34	                                         app_encode_app(a,a,
1.11/1.34	                                                        app_encode_app(
1.11/1.34	                                                        a,
1.11/1.34	                                                        app_encode_fun(a,a),
1.11/1.34	                                                        MEET,Xx),Xy)),
1.11/1.34	                          Xy) =
1.11/1.34	           Xy)) & 
1.11/1.34	       (![Xx:a,Xy:a]:
1.11/1.34	          (app_encode_app(a,a,
1.11/1.34	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.11/1.34	                                         app_encode_app(a,a,
1.11/1.34	                                                        app_encode_app(
1.11/1.34	                                                        a,
1.11/1.34	                                                        app_encode_fun(a,a),
1.11/1.34	                                                        JOIN,Xx),Xy)),
1.11/1.34	                          Xy) =
1.11/1.34	           Xy))) =>
1.11/1.34	      ((?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
1.11/1.34	          ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & (Xb != Xc) & 
1.11/1.34	           (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & (Xc != Xy) & (Xx != Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                           Xy) =
1.11/1.34	            Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                           Xy) =
1.11/1.34	            Xx) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                           Xa) =
1.11/1.34	            Xa) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                           Xa) =
1.11/1.34	            Xx) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                           Xb) =
1.11/1.34	            Xb) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                           Xb) =
1.11/1.34	            Xx) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                           Xc) =
1.11/1.34	            Xc) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                           Xc) =
1.11/1.34	            Xx) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
1.11/1.34	                           Xb) =
1.11/1.34	            Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
1.11/1.34	                           Xb) =
1.11/1.34	            Xx) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
1.11/1.34	                           Xc) =
1.11/1.34	            Xa) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
1.11/1.34	                           Xc) =
1.11/1.34	            Xc) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
1.11/1.34	                           Xy) =
1.11/1.34	            Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
1.11/1.34	                           Xy) =
1.11/1.34	            Xa) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
1.11/1.34	                           Xc) =
1.11/1.34	            Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
1.11/1.34	                           Xc) =
1.11/1.34	            Xx) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
1.11/1.34	                           Xy) =
1.11/1.34	            Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
1.11/1.34	                           Xy) =
1.11/1.34	            Xb) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xc),
1.11/1.34	                           Xy) =
1.11/1.34	            Xy) & 
1.11/1.34	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),
1.11/1.34	                           Xy) =
1.11/1.34	            Xc))) =>
1.11/1.34	       (~
1.11/1.34	         (![Xx:a,Xy:a,Xz:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                            app_encode_app(a,a,
1.11/1.34	                                           app_encode_app(a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          MEET,Xy),
1.11/1.34	                                           app_encode_app(a,a,
1.11/1.34	                                                          app_encode_app(
1.11/1.34	                                                          a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          JOIN,Xx),Xz))) =
1.11/1.34	             app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.11/1.34	                                           app_encode_app(a,a,
1.11/1.34	                                                          app_encode_app(
1.11/1.34	                                                          a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          JOIN,Xx),Xy)),
1.11/1.34	                            app_encode_app(a,a,
1.11/1.34	                                           app_encode_app(a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          JOIN,Xx),
1.11/1.34	                                           Xz))))))))).
1.11/1.34	tff(zf_stmt_0, negated_conjecture,
1.11/1.34	  (~
1.11/1.34	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
1.11/1.34	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
1.11/1.34	       (((![Xx:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
1.11/1.34	             Xx)) & 
1.11/1.34	         (![Xx:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
1.11/1.34	             Xx)) & 
1.11/1.34	         (![Xx:a,Xy:a,Xz:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.11/1.34	                                           app_encode_app(a,a,
1.11/1.34	                                                          app_encode_app(
1.11/1.34	                                                          a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          JOIN,Xx),Xy)),
1.11/1.34	                            Xz) =
1.11/1.34	             app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                            app_encode_app(a,a,
1.11/1.34	                                           app_encode_app(a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          JOIN,Xy),
1.11/1.34	                                           Xz)))) & 
1.11/1.34	         (![Xx:a,Xy:a,Xz:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.11/1.34	                                           app_encode_app(a,a,
1.11/1.34	                                                          app_encode_app(
1.11/1.34	                                                          a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          MEET,Xx),Xy)),
1.11/1.34	                            Xz) =
1.11/1.34	             app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.11/1.34	                            app_encode_app(a,a,
1.11/1.34	                                           app_encode_app(a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          MEET,Xy),
1.11/1.34	                                           Xz)))) & 
1.11/1.34	         (![Xx:a,Xy:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
1.11/1.34	             app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
1.11/1.34	         (![Xx:a,Xy:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
1.11/1.34	             app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
1.11/1.34	         (![Xx:a,Xy:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.11/1.34	                                           app_encode_app(a,a,
1.11/1.34	                                                          app_encode_app(
1.11/1.34	                                                          a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          MEET,Xx),Xy)),
1.11/1.34	                            Xy) =
1.11/1.34	             Xy)) & 
1.11/1.34	         (![Xx:a,Xy:a]:
1.11/1.34	            (app_encode_app(a,a,
1.11/1.34	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.11/1.34	                                           app_encode_app(a,a,
1.11/1.34	                                                          app_encode_app(
1.11/1.34	                                                          a,
1.11/1.34	                                                          app_encode_fun(a,a),
1.11/1.34	                                                          JOIN,Xx),Xy)),
1.11/1.34	                            Xy) =
1.11/1.34	             Xy))) =>
1.11/1.34	        ((?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
1.11/1.34	            ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & 
1.11/1.34	             (Xb != Xc) & (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & 
1.11/1.34	             (Xc != Xy) & (Xx != Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
1.11/1.34	              Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
1.11/1.34	              Xx) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xa) =
1.11/1.34	              Xa) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xa) =
1.11/1.34	              Xx) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xb) =
1.11/1.34	              Xb) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xb) =
1.11/1.34	              Xx) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xc) =
1.11/1.34	              Xc) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xc) =
1.11/1.34	              Xx) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xb) =
1.11/1.34	              Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xb) =
1.11/1.34	              Xx) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xc) =
1.11/1.34	              Xa) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xc) =
1.11/1.34	              Xc) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xy) =
1.11/1.34	              Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xy) =
1.11/1.34	              Xa) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xc) =
1.11/1.34	              Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xc) =
1.11/1.34	              Xx) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xy) =
1.11/1.34	              Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xy) =
1.11/1.34	              Xb) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xc),Xy) =
1.11/1.34	              Xy) & 
1.11/1.34	             (app_encode_app(a,a,
1.11/1.34	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),Xy) =
1.11/1.34	              Xc))) =>
1.11/1.34	         (~
1.11/1.34	           (![Xx:a,Xy:a,Xz:a]:
1.11/1.34	              (app_encode_app(a,a,
1.11/1.34	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.11/1.34	                              app_encode_app(a,a,
1.11/1.34	                                             app_encode_app(a,
1.11/1.34	                                                            app_encode_fun(
1.11/1.34	                                                            a,a),MEET,Xy),
1.11/1.34	                                             app_encode_app(a,a,
1.11/1.34	                                                            app_encode_app(
1.11/1.34	                                                            a,
1.11/1.34	                                                            app_encode_fun(
1.11/1.34	                                                            a,a),JOIN,Xx),Xz))) =
1.11/1.34	               app_encode_app(a,a,
1.11/1.34	                              app_encode_app(a,app_encode_fun(a,a),MEET,
1.11/1.34	                                             app_encode_app(a,a,
1.11/1.34	                                                            app_encode_app(
1.11/1.34	                                                            a,
1.11/1.34	                                                            app_encode_fun(
1.11/1.34	                                                            a,a),JOIN,Xx),Xy)),
1.11/1.34	                              app_encode_app(a,a,
1.11/1.34	                                             app_encode_app(a,
1.11/1.34	                                                            app_encode_fun(
1.11/1.34	                                                            a,a),JOIN,Xx),
1.11/1.34	                                             Xz)))))))))).
1.11/1.34	tff('0', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xc)
1.11/1.34	     = sk_Xc,
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('1', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xc)
1.11/1.34	     = sk_Xc,
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('2', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xb)
1.11/1.34	     = sk_Xx,
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('3', plain,
1.11/1.34	    ![X4 : a, X5 : a, X6 : a]:
1.11/1.34	      app_encode_app(a, a, 
1.11/1.34	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), 
1.11/1.34	        app_encode_app(a, a, 
1.11/1.34	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X5), 
1.11/1.34	          app_encode_app(a, a, 
1.11/1.34	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X6)))
1.11/1.34	       = app_encode_app(a, a, 
1.11/1.34	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
1.11/1.34	             app_encode_app(a, a, 
1.11/1.34	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X5)), 
1.11/1.34	           app_encode_app(a, a, 
1.11/1.34	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X4), X6)),
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('4', plain,
1.11/1.34	    ![X0 : a]:
1.11/1.34	      app_encode_app(a, a, 
1.11/1.34	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), 
1.11/1.34	        app_encode_app(a, a, 
1.11/1.34	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), 
1.11/1.34	          app_encode_app(a, a, 
1.11/1.34	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), X0)))
1.11/1.34	       = app_encode_app(a, a, 
1.11/1.34	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.11/1.34	           app_encode_app(a, a, 
1.11/1.34	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), X0)),
1.11/1.34	    inference('sup+', [status(thm)], ['2', '3'])).
1.11/1.34	tff('5', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), 
1.11/1.34	      app_encode_app(a, a, 
1.11/1.34	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), sk_Xc))
1.11/1.34	     = app_encode_app(a, a, 
1.11/1.34	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.11/1.34	         app_encode_app(a, a, 
1.11/1.34	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xc)),
1.11/1.34	    inference('sup+', [status(thm)], ['1', '4'])).
1.11/1.34	tff('6', plain,
1.11/1.34	    ![X11 : a, X12 : a]:
1.11/1.34	      app_encode_app(a, a, 
1.11/1.34	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X12), X11)
1.11/1.34	       = app_encode_app(a, a, 
1.11/1.34	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X11), X12),
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('7', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), sk_Xc)
1.11/1.34	     = sk_Xy,
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('8', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xc), sk_Xb)
1.11/1.34	     = sk_Xy,
1.11/1.34	    inference('demod', [status(thm)], ['7', '6'])).
1.11/1.34	tff('9', plain,
1.11/1.34	    ![X21 : a, X22 : a]:
1.11/1.34	      app_encode_app(a, a, 
1.11/1.34	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X22), X21)
1.11/1.34	       = app_encode_app(a, a, 
1.11/1.34	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X21), X22),
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('10', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xa), sk_Xy)
1.11/1.34	     = sk_Xy,
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('11', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xa)
1.11/1.34	     = sk_Xy,
1.11/1.34	    inference('demod', [status(thm)], ['10', '6'])).
1.11/1.34	tff('12', plain,
1.11/1.34	    ![X9 : a, X10 : a]:
1.11/1.34	      app_encode_app(a, a, 
1.11/1.34	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.11/1.34	          app_encode_app(a, a, 
1.11/1.34	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X10), X9)), X9)
1.11/1.34	       = X9,
1.11/1.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('13', plain,
1.11/1.34	    app_encode_app(a, a, 
1.11/1.34	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), sk_Xa)
1.11/1.34	     = sk_Xa,
1.11/1.34	    inference('sup+', [status(thm)], ['11', '12'])).
1.11/1.34	tff('14', plain,
1.11/1.34	    sk_Xa
1.11/1.34	     = app_encode_app(a, a, 
1.11/1.34	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xc),
1.11/1.34	    inference('demod', [status(thm)], ['5', '6', '8', '9', '13', '1'])).
1.11/1.34	tff('15', plain, sk_Xa = sk_Xc, inference('sup+', [status(thm)], ['0', '14'])).
1.11/1.34	tff('16', plain, sk_Xa != sk_Xc, inference('cnf', [status(esa)], [zf_stmt_0])).
1.11/1.34	tff('17', plain, $false,
1.11/1.34	    inference('simplify_reflect-', [status(thm)], ['15', '16'])).
1.11/1.34	
1.11/1.34	% SZS output end Refutation
1.11/1.34	EOF
