0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
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   : n119.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
1.13/1.31	% done 1418 iterations in 1.111s
1.13/1.31	% SZS status Theorem for 'stdin'
1.13/1.31	% SZS output start Refutation
1.13/1.32	tff(zf_stmt_3, conjecture,
1.13/1.32	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
1.13/1.32	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
1.13/1.32	     (((![Xx:a]:
1.13/1.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                          Xx) =
1.13/1.32	           Xx)) & 
1.13/1.32	       (![Xx:a]:
1.13/1.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                          Xx) =
1.13/1.32	           Xx)) & 
1.13/1.32	       (![Xx:a,Xy:a,Xz:a]:
1.13/1.32	          (app_encode_app(a,a,
1.13/1.32	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.13/1.32	                                         app_encode_app(a,a,
1.13/1.32	                                                        app_encode_app(
1.13/1.32	                                                        a,
1.13/1.32	                                                        app_encode_fun(a,a),
1.13/1.32	                                                        JOIN,Xx),Xy)),
1.13/1.32	                          Xz) =
1.13/1.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                          app_encode_app(a,a,
1.13/1.32	                                         app_encode_app(a,
1.13/1.32	                                                        app_encode_fun(a,a),
1.13/1.32	                                                        JOIN,Xy),
1.13/1.32	                                         Xz)))) & 
1.13/1.32	       (![Xx:a,Xy:a,Xz:a]:
1.13/1.32	          (app_encode_app(a,a,
1.13/1.32	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.13/1.32	                                         app_encode_app(a,a,
1.13/1.32	                                                        app_encode_app(
1.13/1.32	                                                        a,
1.13/1.32	                                                        app_encode_fun(a,a),
1.13/1.32	                                                        MEET,Xx),Xy)),
1.13/1.32	                          Xz) =
1.13/1.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                          app_encode_app(a,a,
1.13/1.32	                                         app_encode_app(a,
1.13/1.32	                                                        app_encode_fun(a,a),
1.13/1.32	                                                        MEET,Xy),
1.13/1.32	                                         Xz)))) & 
1.13/1.32	       (![Xx:a,Xy:a]:
1.13/1.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                          Xy) =
1.13/1.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
1.13/1.32	                          Xx))) & 
1.13/1.32	       (![Xx:a,Xy:a]:
1.13/1.32	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                          Xy) =
1.13/1.32	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
1.13/1.32	                          Xx))) & 
1.13/1.32	       (![Xx:a,Xy:a]:
1.13/1.32	          (app_encode_app(a,a,
1.13/1.32	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
1.13/1.32	                                         app_encode_app(a,a,
1.13/1.32	                                                        app_encode_app(
1.13/1.32	                                                        a,
1.13/1.32	                                                        app_encode_fun(a,a),
1.13/1.32	                                                        MEET,Xx),Xy)),
1.13/1.32	                          Xy) =
1.13/1.32	           Xy)) & 
1.13/1.32	       (![Xx:a,Xy:a]:
1.13/1.32	          (app_encode_app(a,a,
1.13/1.32	                          app_encode_app(a,app_encode_fun(a,a),MEET,
1.13/1.32	                                         app_encode_app(a,a,
1.13/1.32	                                                        app_encode_app(
1.13/1.32	                                                        a,
1.13/1.32	                                                        app_encode_fun(a,a),
1.13/1.32	                                                        JOIN,Xx),Xy)),
1.13/1.32	                          Xy) =
1.13/1.32	           Xy))) =>
1.13/1.32	      ((?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
1.13/1.32	          ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & (Xb != Xc) & 
1.13/1.32	           (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & (Xc != Xy) & (Xx != Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                           Xy) =
1.13/1.32	            Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                           Xy) =
1.13/1.32	            Xx) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                           Xa) =
1.13/1.32	            Xa) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                           Xa) =
1.13/1.32	            Xx) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                           Xb) =
1.13/1.32	            Xb) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                           Xb) =
1.13/1.32	            Xx) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                           Xc) =
1.13/1.32	            Xc) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                           Xc) =
1.13/1.32	            Xx) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
1.13/1.32	                           Xb) =
1.13/1.32	            Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
1.13/1.32	                           Xb) =
1.13/1.32	            Xx) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
1.13/1.32	                           Xc) =
1.13/1.32	            Xa) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
1.13/1.32	                           Xc) =
1.13/1.32	            Xc) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
1.13/1.32	                           Xy) =
1.13/1.32	            Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
1.13/1.32	                           Xy) =
1.13/1.32	            Xa) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
1.13/1.32	                           Xc) =
1.13/1.32	            Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
1.13/1.32	                           Xc) =
1.13/1.32	            Xx) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
1.13/1.32	                           Xy) =
1.13/1.32	            Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
1.13/1.32	                           Xy) =
1.13/1.32	            Xb) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xc),
1.13/1.32	                           Xy) =
1.13/1.32	            Xy) & 
1.13/1.32	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),
1.13/1.32	                           Xy) =
1.13/1.32	            Xc))) =>
1.13/1.32	       (~
1.13/1.32	         (![Xx:a,Xy:a,Xz:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                            app_encode_app(a,a,
1.13/1.32	                                           app_encode_app(a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          MEET,Xy),
1.13/1.32	                                           app_encode_app(a,a,
1.13/1.32	                                                          app_encode_app(
1.13/1.32	                                                          a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          JOIN,Xx),Xz))) =
1.13/1.32	             app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.13/1.32	                                           app_encode_app(a,a,
1.13/1.32	                                                          app_encode_app(
1.13/1.32	                                                          a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          JOIN,Xx),Xy)),
1.13/1.32	                            app_encode_app(a,a,
1.13/1.32	                                           app_encode_app(a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          JOIN,Xx),
1.13/1.32	                                           Xz))))))))).
1.13/1.32	tff(zf_stmt_0, negated_conjecture,
1.13/1.32	  (~
1.13/1.32	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
1.13/1.32	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
1.13/1.32	       (((![Xx:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
1.13/1.32	             Xx)) & 
1.13/1.32	         (![Xx:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
1.13/1.32	             Xx)) & 
1.13/1.32	         (![Xx:a,Xy:a,Xz:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.13/1.32	                                           app_encode_app(a,a,
1.13/1.32	                                                          app_encode_app(
1.13/1.32	                                                          a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          JOIN,Xx),Xy)),
1.13/1.32	                            Xz) =
1.13/1.32	             app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                            app_encode_app(a,a,
1.13/1.32	                                           app_encode_app(a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          JOIN,Xy),
1.13/1.32	                                           Xz)))) & 
1.13/1.32	         (![Xx:a,Xy:a,Xz:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.13/1.32	                                           app_encode_app(a,a,
1.13/1.32	                                                          app_encode_app(
1.13/1.32	                                                          a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          MEET,Xx),Xy)),
1.13/1.32	                            Xz) =
1.13/1.32	             app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
1.13/1.32	                            app_encode_app(a,a,
1.13/1.32	                                           app_encode_app(a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          MEET,Xy),
1.13/1.32	                                           Xz)))) & 
1.13/1.32	         (![Xx:a,Xy:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
1.13/1.32	             app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
1.13/1.32	         (![Xx:a,Xy:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
1.13/1.32	             app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
1.13/1.32	         (![Xx:a,Xy:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
1.13/1.32	                                           app_encode_app(a,a,
1.13/1.32	                                                          app_encode_app(
1.13/1.32	                                                          a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          MEET,Xx),Xy)),
1.13/1.32	                            Xy) =
1.13/1.32	             Xy)) & 
1.13/1.32	         (![Xx:a,Xy:a]:
1.13/1.32	            (app_encode_app(a,a,
1.13/1.32	                            app_encode_app(a,app_encode_fun(a,a),MEET,
1.13/1.32	                                           app_encode_app(a,a,
1.13/1.32	                                                          app_encode_app(
1.13/1.32	                                                          a,
1.13/1.32	                                                          app_encode_fun(a,a),
1.13/1.32	                                                          JOIN,Xx),Xy)),
1.13/1.32	                            Xy) =
1.13/1.32	             Xy))) =>
1.13/1.32	        ((?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
1.13/1.32	            ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & 
1.13/1.32	             (Xb != Xc) & (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & 
1.13/1.32	             (Xc != Xy) & (Xx != Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
1.13/1.32	              Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
1.13/1.32	              Xx) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xa) =
1.13/1.32	              Xa) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xa) =
1.13/1.32	              Xx) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xb) =
1.13/1.32	              Xb) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xb) =
1.13/1.32	              Xx) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xc) =
1.13/1.32	              Xc) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xc) =
1.13/1.32	              Xx) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xb) =
1.13/1.32	              Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xb) =
1.13/1.32	              Xx) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xc) =
1.13/1.32	              Xa) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xc) =
1.13/1.32	              Xc) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xy) =
1.13/1.32	              Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xy) =
1.13/1.32	              Xa) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xc) =
1.13/1.32	              Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xc) =
1.13/1.32	              Xx) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xy) =
1.13/1.32	              Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xy) =
1.13/1.32	              Xb) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xc),Xy) =
1.13/1.32	              Xy) & 
1.13/1.32	             (app_encode_app(a,a,
1.13/1.32	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),Xy) =
1.13/1.32	              Xc))) =>
1.13/1.32	         (~
1.13/1.32	           (![Xx:a,Xy:a,Xz:a]:
1.13/1.32	              (app_encode_app(a,a,
1.13/1.32	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
1.13/1.32	                              app_encode_app(a,a,
1.13/1.32	                                             app_encode_app(a,
1.13/1.32	                                                            app_encode_fun(
1.13/1.32	                                                            a,a),MEET,Xy),
1.13/1.32	                                             app_encode_app(a,a,
1.13/1.32	                                                            app_encode_app(
1.13/1.32	                                                            a,
1.13/1.32	                                                            app_encode_fun(
1.13/1.32	                                                            a,a),JOIN,Xx),Xz))) =
1.13/1.32	               app_encode_app(a,a,
1.13/1.32	                              app_encode_app(a,app_encode_fun(a,a),MEET,
1.13/1.32	                                             app_encode_app(a,a,
1.13/1.32	                                                            app_encode_app(
1.13/1.32	                                                            a,
1.13/1.32	                                                            app_encode_fun(
1.13/1.32	                                                            a,a),JOIN,Xx),Xy)),
1.13/1.32	                              app_encode_app(a,a,
1.13/1.32	                                             app_encode_app(a,
1.13/1.32	                                                            app_encode_fun(
1.13/1.32	                                                            a,a),JOIN,Xx),
1.13/1.32	                                             Xz)))))))))).
1.13/1.32	tff('0', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xc)
1.13/1.32	     = sk_Xc,
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('1', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xc)
1.13/1.32	     = sk_Xc,
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('2', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xb)
1.13/1.32	     = sk_Xx,
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('3', plain,
1.13/1.32	    ![X0 : a, X1 : a, X2 : a]:
1.13/1.32	      app_encode_app(a, a, 
1.13/1.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
1.13/1.32	        app_encode_app(a, a, 
1.13/1.32	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
1.13/1.32	          app_encode_app(a, a, 
1.13/1.32	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X2)))
1.13/1.32	       = app_encode_app(a, a, 
1.13/1.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
1.13/1.32	             app_encode_app(a, a, 
1.13/1.32	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), 
1.13/1.32	           app_encode_app(a, a, 
1.13/1.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X2)),
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('4', plain,
1.13/1.32	    ![X0 : a]:
1.13/1.32	      app_encode_app(a, a, 
1.13/1.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), 
1.13/1.32	        app_encode_app(a, a, 
1.13/1.32	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), 
1.13/1.32	          app_encode_app(a, a, 
1.13/1.32	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), X0)))
1.13/1.32	       = app_encode_app(a, a, 
1.13/1.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.13/1.32	           app_encode_app(a, a, 
1.13/1.32	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), X0)),
1.13/1.32	    inference('sup+', [status(thm)], ['2', '3'])).
1.13/1.32	tff('5', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), 
1.13/1.32	      app_encode_app(a, a, 
1.13/1.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), sk_Xc))
1.13/1.32	     = app_encode_app(a, a, 
1.13/1.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
1.13/1.32	         app_encode_app(a, a, 
1.13/1.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xc)),
1.13/1.32	    inference('sup+', [status(thm)], ['1', '4'])).
1.13/1.32	tff('6', plain,
1.13/1.32	    ![X7 : a, X8 : a]:
1.13/1.32	      app_encode_app(a, a, 
1.13/1.32	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X7)
1.13/1.32	       = app_encode_app(a, a, 
1.13/1.32	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X7), X8),
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('7', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), sk_Xc)
1.13/1.32	     = sk_Xy,
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('8', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xc), sk_Xb)
1.13/1.32	     = sk_Xy,
1.13/1.32	    inference('demod', [status(thm)], ['7', '6'])).
1.13/1.32	tff('9', plain,
1.13/1.32	    ![X17 : a, X18 : a]:
1.13/1.32	      app_encode_app(a, a, 
1.13/1.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X18), X17)
1.13/1.32	       = app_encode_app(a, a, 
1.13/1.32	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X17), X18),
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('10', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xa), sk_Xy)
1.13/1.32	     = sk_Xy,
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('11', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xa)
1.13/1.32	     = sk_Xy,
1.13/1.32	    inference('demod', [status(thm)], ['10', '6'])).
1.13/1.32	tff('12', plain,
1.13/1.32	    ![X5 : a, X6 : a]:
1.13/1.32	      app_encode_app(a, a, 
1.13/1.32	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
1.13/1.32	          app_encode_app(a, a, 
1.13/1.32	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X5)), X5)
1.13/1.32	       = X5,
1.13/1.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('13', plain,
1.13/1.32	    app_encode_app(a, a, 
1.13/1.32	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), sk_Xa)
1.13/1.32	     = sk_Xa,
1.13/1.32	    inference('sup+', [status(thm)], ['11', '12'])).
1.13/1.32	tff('14', plain,
1.13/1.32	    sk_Xa
1.13/1.32	     = app_encode_app(a, a, 
1.13/1.32	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xc),
1.13/1.32	    inference('demod', [status(thm)], ['5', '6', '8', '9', '13', '1'])).
1.13/1.32	tff('15', plain, sk_Xa = sk_Xc, inference('sup+', [status(thm)], ['0', '14'])).
1.13/1.32	tff('16', plain, sk_Xa != sk_Xc, inference('cnf', [status(esa)], [zf_stmt_0])).
1.13/1.32	tff('17', plain, $false,
1.13/1.32	    inference('simplify_reflect-', [status(thm)], ['15', '16'])).
1.13/1.32	
1.13/1.32	% SZS output end Refutation
1.13/1.32	EOF
