0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n135.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
3.16/3.38	% done 1668 iterations in 3.175s
3.16/3.38	% SZS status Theorem for 'stdin'
3.16/3.38	% SZS output start Refutation
3.16/3.38	tff(zf_stmt_3, conjecture,
3.16/3.38	  (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
3.16/3.38	     MEET:app_encode_fun(a,app_encode_fun(a,a))]:
3.16/3.38	     (((![Xx:a]:
3.16/3.38	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                          Xx) =
3.16/3.38	           Xx)) & 
3.16/3.38	       (![Xx:a]:
3.16/3.38	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                          Xx) =
3.16/3.38	           Xx)) & 
3.16/3.38	       (![Xx:a,Xy:a,Xz:a]:
3.16/3.38	          (app_encode_app(a,a,
3.16/3.38	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
3.16/3.38	                                         app_encode_app(a,a,
3.16/3.38	                                                        app_encode_app(
3.16/3.38	                                                        a,
3.16/3.38	                                                        app_encode_fun(a,a),
3.16/3.38	                                                        JOIN,Xx),Xy)),
3.16/3.38	                          Xz) =
3.16/3.38	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                          app_encode_app(a,a,
3.16/3.38	                                         app_encode_app(a,
3.16/3.38	                                                        app_encode_fun(a,a),
3.16/3.38	                                                        JOIN,Xy),
3.16/3.38	                                         Xz)))) & 
3.16/3.38	       (![Xx:a,Xy:a,Xz:a]:
3.16/3.38	          (app_encode_app(a,a,
3.16/3.38	                          app_encode_app(a,app_encode_fun(a,a),MEET,
3.16/3.38	                                         app_encode_app(a,a,
3.16/3.38	                                                        app_encode_app(
3.16/3.38	                                                        a,
3.16/3.38	                                                        app_encode_fun(a,a),
3.16/3.38	                                                        MEET,Xx),Xy)),
3.16/3.38	                          Xz) =
3.16/3.38	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                          app_encode_app(a,a,
3.16/3.38	                                         app_encode_app(a,
3.16/3.38	                                                        app_encode_fun(a,a),
3.16/3.38	                                                        MEET,Xy),
3.16/3.38	                                         Xz)))) & 
3.16/3.38	       (![Xx:a,Xy:a]:
3.16/3.38	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                          Xy) =
3.16/3.38	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),
3.16/3.38	                          Xx))) & 
3.16/3.38	       (![Xx:a,Xy:a]:
3.16/3.38	          (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                          Xy) =
3.16/3.38	           app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xy),
3.16/3.38	                          Xx))) & 
3.16/3.38	       (![Xx:a,Xy:a]:
3.16/3.38	          (app_encode_app(a,a,
3.16/3.38	                          app_encode_app(a,app_encode_fun(a,a),JOIN,
3.16/3.38	                                         app_encode_app(a,a,
3.16/3.38	                                                        app_encode_app(
3.16/3.38	                                                        a,
3.16/3.38	                                                        app_encode_fun(a,a),
3.16/3.38	                                                        MEET,Xx),Xy)),
3.16/3.38	                          Xy) =
3.16/3.38	           Xy)) & 
3.16/3.38	       (![Xx:a,Xy:a]:
3.16/3.38	          (app_encode_app(a,a,
3.16/3.38	                          app_encode_app(a,app_encode_fun(a,a),MEET,
3.16/3.38	                                         app_encode_app(a,a,
3.16/3.38	                                                        app_encode_app(
3.16/3.38	                                                        a,
3.16/3.38	                                                        app_encode_fun(a,a),
3.16/3.38	                                                        JOIN,Xx),Xy)),
3.16/3.38	                          Xy) =
3.16/3.38	           Xy))) =>
3.16/3.38	      ((?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
3.16/3.38	          ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & (Xb != Xc) & 
3.16/3.38	           (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & (Xc != Xy) & (Xx != Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                           Xy) =
3.16/3.38	            Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                           Xy) =
3.16/3.38	            Xx) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                           Xa) =
3.16/3.38	            Xa) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                           Xa) =
3.16/3.38	            Xx) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                           Xb) =
3.16/3.38	            Xb) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                           Xb) =
3.16/3.38	            Xx) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                           Xc) =
3.16/3.38	            Xc) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                           Xc) =
3.16/3.38	            Xx) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
3.16/3.38	                           Xb) =
3.16/3.38	            Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
3.16/3.38	                           Xb) =
3.16/3.38	            Xx) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
3.16/3.38	                           Xc) =
3.16/3.38	            Xa) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
3.16/3.38	                           Xc) =
3.16/3.38	            Xc) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xa),
3.16/3.38	                           Xy) =
3.16/3.38	            Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),
3.16/3.38	                           Xy) =
3.16/3.38	            Xa) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
3.16/3.38	                           Xc) =
3.16/3.38	            Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
3.16/3.38	                           Xc) =
3.16/3.38	            Xx) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xb),
3.16/3.38	                           Xy) =
3.16/3.38	            Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),
3.16/3.38	                           Xy) =
3.16/3.38	            Xb) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),MEET,Xc),
3.16/3.38	                           Xy) =
3.16/3.38	            Xy) & 
3.16/3.38	           (app_encode_app(a,a,app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),
3.16/3.38	                           Xy) =
3.16/3.38	            Xc))) =>
3.16/3.38	       (~
3.16/3.38	         (![Xx:a,Xy:a,Xz:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                            app_encode_app(a,a,
3.16/3.38	                                           app_encode_app(a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          MEET,Xy),
3.16/3.38	                                           app_encode_app(a,a,
3.16/3.38	                                                          app_encode_app(
3.16/3.38	                                                          a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          JOIN,Xx),Xz))) =
3.16/3.38	             app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,
3.16/3.38	                                           app_encode_app(a,a,
3.16/3.38	                                                          app_encode_app(
3.16/3.38	                                                          a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          JOIN,Xx),Xy)),
3.16/3.38	                            app_encode_app(a,a,
3.16/3.38	                                           app_encode_app(a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          JOIN,Xx),
3.16/3.38	                                           Xz))))))))).
3.16/3.38	tff(zf_stmt_0, negated_conjecture,
3.16/3.38	  (~
3.16/3.38	    (![JOIN:app_encode_fun(a,app_encode_fun(a,a)),
3.16/3.38	       MEET:app_encode_fun(a,app_encode_fun(a,a))]:
3.16/3.38	       (((![Xx:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xx) =
3.16/3.38	             Xx)) & 
3.16/3.38	         (![Xx:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xx) =
3.16/3.38	             Xx)) & 
3.16/3.38	         (![Xx:a,Xy:a,Xz:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
3.16/3.38	                                           app_encode_app(a,a,
3.16/3.38	                                                          app_encode_app(
3.16/3.38	                                                          a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          JOIN,Xx),Xy)),
3.16/3.38	                            Xz) =
3.16/3.38	             app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                            app_encode_app(a,a,
3.16/3.38	                                           app_encode_app(a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          JOIN,Xy),
3.16/3.38	                                           Xz)))) & 
3.16/3.38	         (![Xx:a,Xy:a,Xz:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,
3.16/3.38	                                           app_encode_app(a,a,
3.16/3.38	                                                          app_encode_app(
3.16/3.38	                                                          a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          MEET,Xx),Xy)),
3.16/3.38	                            Xz) =
3.16/3.38	             app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),
3.16/3.38	                            app_encode_app(a,a,
3.16/3.38	                                           app_encode_app(a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          MEET,Xy),
3.16/3.38	                                           Xz)))) & 
3.16/3.38	         (![Xx:a,Xy:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
3.16/3.38	             app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,Xy),Xx))) & 
3.16/3.38	         (![Xx:a,Xy:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
3.16/3.38	             app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,Xy),Xx))) & 
3.16/3.38	         (![Xx:a,Xy:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),JOIN,
3.16/3.38	                                           app_encode_app(a,a,
3.16/3.38	                                                          app_encode_app(
3.16/3.38	                                                          a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          MEET,Xx),Xy)),
3.16/3.38	                            Xy) =
3.16/3.38	             Xy)) & 
3.16/3.38	         (![Xx:a,Xy:a]:
3.16/3.38	            (app_encode_app(a,a,
3.16/3.38	                            app_encode_app(a,app_encode_fun(a,a),MEET,
3.16/3.38	                                           app_encode_app(a,a,
3.16/3.38	                                                          app_encode_app(
3.16/3.38	                                                          a,
3.16/3.38	                                                          app_encode_fun(a,a),
3.16/3.38	                                                          JOIN,Xx),Xy)),
3.16/3.38	                            Xy) =
3.16/3.38	             Xy))) =>
3.16/3.38	        ((?[Xx:a,Xy:a,Xa:a,Xb:a,Xc:a]:
3.16/3.38	            ((Xa != Xb) & (Xa != Xc) & (Xa != Xx) & (Xa != Xy) & 
3.16/3.38	             (Xb != Xc) & (Xb != Xx) & (Xb != Xy) & (Xc != Xx) & 
3.16/3.38	             (Xc != Xy) & (Xx != Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xy) =
3.16/3.38	              Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xy) =
3.16/3.38	              Xx) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xa) =
3.16/3.38	              Xa) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xa) =
3.16/3.38	              Xx) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xb) =
3.16/3.38	              Xb) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xb) =
3.16/3.38	              Xx) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xx),Xc) =
3.16/3.38	              Xc) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),Xc) =
3.16/3.38	              Xx) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xb) =
3.16/3.38	              Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xb) =
3.16/3.38	              Xx) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xc) =
3.16/3.38	              Xa) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xc) =
3.16/3.38	              Xc) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xa),Xy) =
3.16/3.38	              Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xa),Xy) =
3.16/3.38	              Xa) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xc) =
3.16/3.38	              Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xc) =
3.16/3.38	              Xx) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xb),Xy) =
3.16/3.38	              Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xb),Xy) =
3.16/3.38	              Xb) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),MEET,Xc),Xy) =
3.16/3.38	              Xy) & 
3.16/3.38	             (app_encode_app(a,a,
3.16/3.38	                             app_encode_app(a,app_encode_fun(a,a),JOIN,Xc),Xy) =
3.16/3.38	              Xc))) =>
3.16/3.38	         (~
3.16/3.38	           (![Xx:a,Xy:a,Xz:a]:
3.16/3.38	              (app_encode_app(a,a,
3.16/3.38	                              app_encode_app(a,app_encode_fun(a,a),JOIN,Xx),
3.16/3.38	                              app_encode_app(a,a,
3.16/3.38	                                             app_encode_app(a,
3.16/3.38	                                                            app_encode_fun(
3.16/3.38	                                                            a,a),MEET,Xy),
3.16/3.38	                                             app_encode_app(a,a,
3.16/3.38	                                                            app_encode_app(
3.16/3.38	                                                            a,
3.16/3.38	                                                            app_encode_fun(
3.16/3.38	                                                            a,a),JOIN,Xx),Xz))) =
3.16/3.38	               app_encode_app(a,a,
3.16/3.38	                              app_encode_app(a,app_encode_fun(a,a),MEET,
3.16/3.38	                                             app_encode_app(a,a,
3.16/3.38	                                                            app_encode_app(
3.16/3.38	                                                            a,
3.16/3.38	                                                            app_encode_fun(
3.16/3.38	                                                            a,a),JOIN,Xx),Xy)),
3.16/3.38	                              app_encode_app(a,a,
3.16/3.38	                                             app_encode_app(a,
3.16/3.38	                                                            app_encode_fun(
3.16/3.38	                                                            a,a),JOIN,Xx),
3.16/3.38	                                             Xz)))))))))).
3.16/3.38	tff('0', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xc)
3.16/3.38	     = sk_Xc,
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('1', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xb)
3.16/3.38	     = sk_Xx,
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('2', plain,
3.16/3.38	    ![X0 : a, X1 : a, X2 : a]:
3.16/3.38	      app_encode_app(a, a, 
3.16/3.38	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), 
3.16/3.38	        app_encode_app(a, a, 
3.16/3.38	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, X1), 
3.16/3.38	          app_encode_app(a, a, 
3.16/3.38	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X2)))
3.16/3.38	       = app_encode_app(a, a, 
3.16/3.38	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, 
3.16/3.38	             app_encode_app(a, a, 
3.16/3.38	               app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X1)), 
3.16/3.38	           app_encode_app(a, a, 
3.16/3.38	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X0), X2)),
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('3', plain,
3.16/3.38	    ![X0 : a]:
3.16/3.38	      app_encode_app(a, a, 
3.16/3.38	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), 
3.16/3.38	        app_encode_app(a, a, 
3.16/3.38	          app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), 
3.16/3.38	          app_encode_app(a, a, 
3.16/3.38	            app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), X0)))
3.16/3.38	       = app_encode_app(a, a, 
3.16/3.38	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
3.16/3.38	           app_encode_app(a, a, 
3.16/3.38	             app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), X0)),
3.16/3.38	    inference('sup+', [status(thm)], ['1', '2'])).
3.16/3.38	tff('4', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), 
3.16/3.38	      app_encode_app(a, a, 
3.16/3.38	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), sk_Xc))
3.16/3.38	     = app_encode_app(a, a, 
3.16/3.38	         app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), 
3.16/3.38	         app_encode_app(a, a, 
3.16/3.38	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xa), sk_Xc)),
3.16/3.38	    inference('sup+', [status(thm)], ['0', '3'])).
3.16/3.38	tff('5', plain,
3.16/3.38	    ![X7 : a, X8 : a]:
3.16/3.38	      app_encode_app(a, a, 
3.16/3.38	        app_encode_app(a, app_encode_fun(a, a), sk_MEET, X8), X7)
3.16/3.38	       = app_encode_app(a, a, 
3.16/3.38	           app_encode_app(a, app_encode_fun(a, a), sk_MEET, X7), X8),
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('6', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xb), sk_Xc)
3.16/3.38	     = sk_Xy,
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('7', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xc), sk_Xb)
3.16/3.38	     = sk_Xy,
3.16/3.38	    inference('demod', [status(thm)], ['6', '5'])).
3.16/3.38	tff('8', plain,
3.16/3.38	    ![X17 : a, X18 : a]:
3.16/3.38	      app_encode_app(a, a, 
3.16/3.38	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X18), X17)
3.16/3.38	       = app_encode_app(a, a, 
3.16/3.38	           app_encode_app(a, app_encode_fun(a, a), sk_JOIN, X17), X18),
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('9', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xx), sk_Xc)
3.16/3.38	     = sk_Xc,
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('10', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), sk_Xa)
3.16/3.38	     = sk_Xc,
3.16/3.38	    inference('demod', [status(thm)], ['4', '5', '7', '8', '0', '9'])).
3.16/3.38	tff('11', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xa), sk_Xy)
3.16/3.38	     = sk_Xy,
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('12', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_MEET, sk_Xy), sk_Xa)
3.16/3.38	     = sk_Xy,
3.16/3.38	    inference('demod', [status(thm)], ['11', '5'])).
3.16/3.38	tff('13', plain,
3.16/3.38	    ![X5 : a, X6 : a]:
3.16/3.38	      app_encode_app(a, a, 
3.16/3.38	        app_encode_app(a, app_encode_fun(a, a), sk_JOIN, 
3.16/3.38	          app_encode_app(a, a, 
3.16/3.38	            app_encode_app(a, app_encode_fun(a, a), sk_MEET, X6), X5)), X5)
3.16/3.38	       = X5,
3.16/3.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('14', plain,
3.16/3.38	    app_encode_app(a, a, 
3.16/3.38	      app_encode_app(a, app_encode_fun(a, a), sk_JOIN, sk_Xy), sk_Xa)
3.16/3.38	     = sk_Xa,
3.16/3.38	    inference('sup+', [status(thm)], ['12', '13'])).
3.16/3.38	tff('15', plain, sk_Xa = sk_Xc,
3.16/3.38	    inference('demod', [status(thm)], ['10', '14'])).
3.16/3.38	tff('16', plain, sk_Xa != sk_Xc, inference('cnf', [status(esa)], [zf_stmt_0])).
3.16/3.38	tff('17', plain, $false,
3.16/3.38	    inference('simplify_reflect-', [status(thm)], ['15', '16'])).
3.16/3.38	
3.16/3.38	% SZS output end Refutation
3.16/3.39	EOF
