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    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n079.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 08:30:55 CST 2018
17.15/17.32	% done 1467 iterations in 17.116s
17.15/17.32	% SZS status Theorem for 'stdin'
17.15/17.32	% SZS output start Refutation
17.15/17.32	tff(zf_stmt_67, axiom,
17.15/17.32	  (![A1:$tType]:
17.15/17.32	     (semiring_div(A1) =>
17.15/17.32	      (![C:A1,B1:A1,A:A1]:
17.15/17.32	         (app_encode_app(A1,A1,
17.15/17.32	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
17.15/17.32	                                        app_encode_app(A1,A1,
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,A1),
17.15/17.32	                                                       app_encode_fun(A1,A1),
17.15/17.32	                                                       aa(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,fun(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,fun(A1,A1)),
17.15/17.32	                                                       app_encode_fun(
17.15/17.32	                                                       A1,fun(A1,A1)),
17.15/17.32	                                                       aa(A1,fun(A1,A1)),
17.15/17.32	                                                       plus_plus(A1)),A)),B1)),
17.15/17.32	                         C) =
17.15/17.32	          app_encode_app(A1,A1,
17.15/17.32	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
17.15/17.32	                                        app_encode_app(A1,A1,
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,A1),
17.15/17.32	                                                       app_encode_fun(A1,A1),
17.15/17.32	                                                       aa(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,fun(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,fun(A1,A1)),
17.15/17.32	                                                       app_encode_fun(
17.15/17.32	                                                       A1,fun(A1,A1)),
17.15/17.32	                                                       aa(A1,fun(A1,A1)),
17.15/17.32	                                                       plus_plus(A1)),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,A1,
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,
17.15/17.32	                                                       app_encode_fun(A1,A1),
17.15/17.32	                                                       div_mod(A1),A),C))),B1)),
17.15/17.32	                         C)))))).
17.15/17.32	tff('0', plain,
17.15/17.32	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
17.15/17.32	      (app_encode_app(X27, X27, 
17.15/17.32	         app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
17.15/17.32	           app_encode_app(X27, X27, 
17.15/17.32	             app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
17.15/17.32	               aa(X27, X27), 
17.15/17.32	               app_encode_app(X27, fun(X27, X27), 
17.15/17.32	                 app_encode_app(fun(X27, fun(X27, X27)), 
17.15/17.32	                   app_encode_fun(X27, fun(X27, X27)), 
17.15/17.32	                   aa(X27, fun(X27, X27)), plus_plus(X27)), X28)), X30)), 
17.15/17.32	         X29)
17.15/17.32	        = app_encode_app(X27, X27, 
17.15/17.32	            app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
17.15/17.32	              app_encode_app(X27, X27, 
17.15/17.32	                app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
17.15/17.32	                  aa(X27, X27), 
17.15/17.32	                  app_encode_app(X27, fun(X27, X27), 
17.15/17.32	                    app_encode_app(fun(X27, fun(X27, X27)), 
17.15/17.32	                      app_encode_fun(X27, fun(X27, X27)), 
17.15/17.32	                      aa(X27, fun(X27, X27)), plus_plus(X27)), 
17.15/17.32	                    app_encode_app(X27, X27, 
17.15/17.32	                      app_encode_app(X27, app_encode_fun(X27, X27), 
17.15/17.32	                        div_mod(X27), X28), X29))), X30)), X29)
17.15/17.32	       | ~ semiring_div(X27)),
17.15/17.32	    inference('cnf', [status(esa)], [zf_stmt_67])).
17.15/17.32	tff(zf_stmt_56, axiom,
17.15/17.32	  (app_encode_app(int,int,
17.15/17.32	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
17.15/17.32	                                 app_encode_app(int,int,
17.15/17.32	                                                app_encode_app(fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               l)),
17.15/17.32	                                                app_encode_app(int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               i)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               list(int),int),
17.15/17.32	                                                               iprod(int),ks),
17.15/17.32	                                                               e)))),
17.15/17.32	                  d) =
17.15/17.32	   app_encode_app(int,int,
17.15/17.32	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
17.15/17.32	                                 app_encode_app(int,int,
17.15/17.32	                                                app_encode_app(fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               div_mod(int),l),
17.15/17.32	                                                               d))),
17.15/17.32	                                                app_encode_app(int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               div_mod(int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               j)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               list(int),int),
17.15/17.32	                                                               iprod(int),ks),
17.15/17.32	                                                               e))),d))),
17.15/17.32	                  d))).
17.15/17.32	tff('1', plain,
17.15/17.32	    app_encode_app(int, int, 
17.15/17.32	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	        app_encode_app(int, int, 
17.15/17.32	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	            aa(int, int), 
17.15/17.32	            app_encode_app(int, fun(int, int), 
17.15/17.32	              app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                plus_plus(int)), l)), 
17.15/17.32	          app_encode_app(int, int, 
17.15/17.32	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	              aa(int, int), 
17.15/17.32	              app_encode_app(int, fun(int, int), 
17.15/17.32	                app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                  app_encode_fun(int, fun(int, int)), 
17.15/17.32	                  aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	            app_encode_app(list(int), int, 
17.15/17.32	              app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                iprod(int), ks), e)))), d)
17.15/17.32	     = app_encode_app(int, int, 
17.15/17.32	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), 
17.15/17.32	                 app_encode_app(int, int, 
17.15/17.32	                   app_encode_app(int, app_encode_fun(int, int), 
17.15/17.32	                     div_mod(int), l), d))), 
17.15/17.32	             app_encode_app(int, int, 
17.15/17.32	               app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	                 app_encode_app(int, int, 
17.15/17.32	                   app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                     aa(int, int), 
17.15/17.32	                     app_encode_app(int, fun(int, int), 
17.15/17.32	                       app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                         app_encode_fun(int, fun(int, int)), 
17.15/17.32	                         aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	                   app_encode_app(list(int), int, 
17.15/17.32	                     app_encode_app(list(int), 
17.15/17.32	                       app_encode_fun(list(int), int), iprod(int), ks), e))), 
17.15/17.32	               d))), d),
17.15/17.32	    inference('cnf', [status(esa)], [zf_stmt_56])).
17.15/17.32	tff(zf_stmt_66, axiom,
17.15/17.32	  (![A1:$tType]:
17.15/17.32	     (semiring_div(A1) =>
17.15/17.32	      (![C:A1,B1:A1,A:A1]:
17.15/17.32	         (app_encode_app(A1,A1,
17.15/17.32	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
17.15/17.32	                                        app_encode_app(A1,A1,
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,A1),
17.15/17.32	                                                       app_encode_fun(A1,A1),
17.15/17.32	                                                       aa(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,fun(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,fun(A1,A1)),
17.15/17.32	                                                       app_encode_fun(
17.15/17.32	                                                       A1,fun(A1,A1)),
17.15/17.32	                                                       aa(A1,fun(A1,A1)),
17.15/17.32	                                                       plus_plus(A1)),A)),B1)),
17.15/17.32	                         C) =
17.15/17.32	          app_encode_app(A1,A1,
17.15/17.32	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
17.15/17.32	                                        app_encode_app(A1,A1,
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,A1),
17.15/17.32	                                                       app_encode_fun(A1,A1),
17.15/17.32	                                                       aa(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,fun(A1,A1),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       fun(A1,fun(A1,A1)),
17.15/17.32	                                                       app_encode_fun(
17.15/17.32	                                                       A1,fun(A1,A1)),
17.15/17.32	                                                       aa(A1,fun(A1,A1)),
17.15/17.32	                                                       plus_plus(A1)),A)),
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,A1,
17.15/17.32	                                                       app_encode_app(
17.15/17.32	                                                       A1,
17.15/17.32	                                                       app_encode_fun(A1,A1),
17.15/17.32	                                                       div_mod(A1),B1),C))),
17.15/17.32	                         C)))))).
17.15/17.32	tff('2', plain,
17.15/17.32	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
17.15/17.32	      (app_encode_app(X23, X23, 
17.15/17.32	         app_encode_app(X23, app_encode_fun(X23, X23), div_mod(X23), 
17.15/17.32	           app_encode_app(X23, X23, 
17.15/17.32	             app_encode_app(fun(X23, X23), app_encode_fun(X23, X23), 
17.15/17.32	               aa(X23, X23), 
17.15/17.32	               app_encode_app(X23, fun(X23, X23), 
17.15/17.32	                 app_encode_app(fun(X23, fun(X23, X23)), 
17.15/17.32	                   app_encode_fun(X23, fun(X23, X23)), 
17.15/17.32	                   aa(X23, fun(X23, X23)), plus_plus(X23)), X24)), X25)), 
17.15/17.32	         X26)
17.15/17.32	        = app_encode_app(X23, X23, 
17.15/17.32	            app_encode_app(X23, app_encode_fun(X23, X23), div_mod(X23), 
17.15/17.32	              app_encode_app(X23, X23, 
17.15/17.32	                app_encode_app(fun(X23, X23), app_encode_fun(X23, X23), 
17.15/17.32	                  aa(X23, X23), 
17.15/17.32	                  app_encode_app(X23, fun(X23, X23), 
17.15/17.32	                    app_encode_app(fun(X23, fun(X23, X23)), 
17.15/17.32	                      app_encode_fun(X23, fun(X23, X23)), 
17.15/17.32	                      aa(X23, fun(X23, X23)), plus_plus(X23)), X24)), 
17.15/17.32	                app_encode_app(X23, X23, 
17.15/17.32	                  app_encode_app(X23, app_encode_fun(X23, X23), 
17.15/17.32	                    div_mod(X23), X25), X26))), X26)
17.15/17.32	       | ~ semiring_div(X23)),
17.15/17.32	    inference('cnf', [status(esa)], [zf_stmt_66])).
17.15/17.32	tff('3', plain,
17.15/17.32	    (app_encode_app(int, int, 
17.15/17.32	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	         app_encode_app(int, int, 
17.15/17.32	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	             aa(int, int), 
17.15/17.32	             app_encode_app(int, fun(int, int), 
17.15/17.32	               app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                 plus_plus(int)), 
17.15/17.32	               app_encode_app(int, int, 
17.15/17.32	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	                   l), d))), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	             app_encode_app(list(int), int, 
17.15/17.32	               app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                 iprod(int), ks), e)))), d)
17.15/17.32	      = app_encode_app(int, int, 
17.15/17.32	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	            app_encode_app(int, int, 
17.15/17.32	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                aa(int, int), 
17.15/17.32	                app_encode_app(int, fun(int, int), 
17.15/17.32	                  app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                    app_encode_fun(int, fun(int, int)), 
17.15/17.32	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e)))), d)
17.15/17.32	     | ~ semiring_div(int)),
17.15/17.32	    inference('sup+', [status(thm)], ['1', '2'])).
17.15/17.32	tff(zf_stmt_161, axiom, (semiring_div(int))).
17.15/17.32	tff('4', plain, semiring_div(int),
17.15/17.32	    inference('cnf', [status(esa)], [zf_stmt_161])).
17.15/17.32	tff('5', plain,
17.15/17.32	    (app_encode_app(int, int, 
17.15/17.32	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	         app_encode_app(int, int, 
17.15/17.32	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	             aa(int, int), 
17.15/17.32	             app_encode_app(int, fun(int, int), 
17.15/17.32	               app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                 plus_plus(int)), 
17.15/17.32	               app_encode_app(int, int, 
17.15/17.32	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	                   l), d))), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	             app_encode_app(list(int), int, 
17.15/17.32	               app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                 iprod(int), ks), e)))), d)
17.15/17.32	      = app_encode_app(int, int, 
17.15/17.32	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	            app_encode_app(int, int, 
17.15/17.32	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                aa(int, int), 
17.15/17.32	                app_encode_app(int, fun(int, int), 
17.15/17.32	                  app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                    app_encode_fun(int, fun(int, int)), 
17.15/17.32	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e)))), d)
17.15/17.32	     | ~ $true),
17.15/17.32	    inference('demod', [status(thm)], ['3', '4'])).
17.15/17.32	tff('6', plain,
17.15/17.32	    app_encode_app(int, int, 
17.15/17.32	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	        app_encode_app(int, int, 
17.15/17.32	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	            aa(int, int), 
17.15/17.32	            app_encode_app(int, fun(int, int), 
17.15/17.32	              app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                plus_plus(int)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	                  l), d))), 
17.15/17.32	          app_encode_app(int, int, 
17.15/17.32	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	              aa(int, int), 
17.15/17.32	              app_encode_app(int, fun(int, int), 
17.15/17.32	                app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                  app_encode_fun(int, fun(int, int)), 
17.15/17.32	                  aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	            app_encode_app(list(int), int, 
17.15/17.32	              app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                iprod(int), ks), e)))), d)
17.15/17.32	     = app_encode_app(int, int, 
17.15/17.32	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	             app_encode_app(int, int, 
17.15/17.32	               app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                 aa(int, int), 
17.15/17.32	                 app_encode_app(int, fun(int, int), 
17.15/17.32	                   app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                     app_encode_fun(int, fun(int, int)), 
17.15/17.32	                     aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	               app_encode_app(list(int), int, 
17.15/17.32	                 app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                   iprod(int), ks), e)))), d),
17.15/17.32	    inference('simplify', [status(thm)], ['5'])).
17.15/17.32	tff('7', plain,
17.15/17.32	    (app_encode_app(int, int, 
17.15/17.32	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	         app_encode_app(int, int, 
17.15/17.32	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	             aa(int, int), 
17.15/17.32	             app_encode_app(int, fun(int, int), 
17.15/17.32	               app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                 plus_plus(int)), l)), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	             app_encode_app(list(int), int, 
17.15/17.32	               app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                 iprod(int), ks), e)))), d)
17.15/17.32	      = app_encode_app(int, int, 
17.15/17.32	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	            app_encode_app(int, int, 
17.15/17.32	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                aa(int, int), 
17.15/17.32	                app_encode_app(int, fun(int, int), 
17.15/17.32	                  app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                    app_encode_fun(int, fun(int, int)), 
17.15/17.32	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e)))), d)
17.15/17.32	     | ~ semiring_div(int)),
17.15/17.32	    inference('sup+', [status(thm)], ['0', '6'])).
17.15/17.32	tff('8', plain,
17.15/17.32	    (app_encode_app(int, int, 
17.15/17.32	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	         app_encode_app(int, int, 
17.15/17.32	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	             aa(int, int), 
17.15/17.32	             app_encode_app(int, fun(int, int), 
17.15/17.32	               app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                 plus_plus(int)), l)), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	             app_encode_app(list(int), int, 
17.15/17.32	               app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                 iprod(int), ks), e)))), d)
17.15/17.32	      = app_encode_app(int, int, 
17.15/17.32	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	            app_encode_app(int, int, 
17.15/17.32	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                aa(int, int), 
17.15/17.32	                app_encode_app(int, fun(int, int), 
17.15/17.32	                  app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                    app_encode_fun(int, fun(int, int)), 
17.15/17.32	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e)))), d)
17.15/17.32	     | ~ $true),
17.15/17.32	    inference('demod', [status(thm)], ['7', '4'])).
17.15/17.32	tff('9', plain,
17.15/17.32	    app_encode_app(int, int, 
17.15/17.32	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	        app_encode_app(int, int, 
17.15/17.32	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	            aa(int, int), 
17.15/17.32	            app_encode_app(int, fun(int, int), 
17.15/17.32	              app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                plus_plus(int)), l)), 
17.15/17.32	          app_encode_app(int, int, 
17.15/17.32	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	              aa(int, int), 
17.15/17.32	              app_encode_app(int, fun(int, int), 
17.15/17.32	                app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                  app_encode_fun(int, fun(int, int)), 
17.15/17.32	                  aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	            app_encode_app(list(int), int, 
17.15/17.32	              app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                iprod(int), ks), e)))), d)
17.15/17.32	     = app_encode_app(int, int, 
17.15/17.32	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	           app_encode_app(int, int, 
17.15/17.32	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	               aa(int, int), 
17.15/17.32	               app_encode_app(int, fun(int, int), 
17.15/17.32	                 app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                   app_encode_fun(int, fun(int, int)), 
17.15/17.32	                   aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	             app_encode_app(int, int, 
17.15/17.32	               app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                 aa(int, int), 
17.15/17.32	                 app_encode_app(int, fun(int, int), 
17.15/17.32	                   app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                     app_encode_fun(int, fun(int, int)), 
17.15/17.32	                     aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	               app_encode_app(list(int), int, 
17.15/17.32	                 app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                   iprod(int), ks), e)))), d),
17.15/17.32	    inference('simplify', [status(thm)], ['8'])).
17.15/17.32	tff(zf_stmt_173, conjecture,
17.15/17.32	  (app_encode_app(int,int,
17.15/17.32	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
17.15/17.32	                                 app_encode_app(int,int,
17.15/17.32	                                                app_encode_app(fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               div_mod(int),l),
17.15/17.32	                                                               d))),
17.15/17.32	                                                app_encode_app(int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               div_mod(int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               j)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               list(int),int),
17.15/17.32	                                                               iprod(int),ks),
17.15/17.32	                                                               e))),d))),
17.15/17.32	                  d) =
17.15/17.32	   app_encode_app(int,int,
17.15/17.32	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
17.15/17.32	                                 app_encode_app(int,int,
17.15/17.32	                                                app_encode_app(fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               l)),
17.15/17.32	                                                app_encode_app(int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               j)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               list(int),int),
17.15/17.32	                                                               iprod(int),ks),
17.15/17.32	                                                               e)))),
17.15/17.32	                  d))).
17.15/17.32	tff(zf_stmt_0, negated_conjecture,
17.15/17.32	  (app_encode_app(int,int,
17.15/17.32	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
17.15/17.32	                                 app_encode_app(int,int,
17.15/17.32	                                                app_encode_app(fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               div_mod(int),l),
17.15/17.32	                                                               d))),
17.15/17.32	                                                app_encode_app(int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               div_mod(int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               j)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               list(int),int),
17.15/17.32	                                                               iprod(int),ks),
17.15/17.32	                                                               e))),d))),
17.15/17.32	                  d) !=
17.15/17.32	   app_encode_app(int,int,
17.15/17.32	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
17.15/17.32	                                 app_encode_app(int,int,
17.15/17.32	                                                app_encode_app(fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               l)),
17.15/17.32	                                                app_encode_app(int,int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,int),
17.15/17.32	                                                               aa(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               fun(int,
17.15/17.32	                                                                   fun(
17.15/17.32	                                                                   int,int)),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               int,
17.15/17.32	                                                               fun(int,int)),
17.15/17.32	                                                               aa(int,
17.15/17.32	                                                                  fun(
17.15/17.32	                                                                  int,int)),
17.15/17.32	                                                               plus_plus(int)),
17.15/17.32	                                                               j)),
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),int,
17.15/17.32	                                                               app_encode_app(
17.15/17.32	                                                               list(int),
17.15/17.32	                                                               app_encode_fun(
17.15/17.32	                                                               list(int),int),
17.15/17.32	                                                               iprod(int),ks),
17.15/17.32	                                                               e)))),
17.15/17.32	                  d))).
17.15/17.32	tff('10', plain,
17.15/17.32	    app_encode_app(int, int, 
17.15/17.32	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	        app_encode_app(int, int, 
17.15/17.32	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	            aa(int, int), 
17.15/17.32	            app_encode_app(int, fun(int, int), 
17.15/17.32	              app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                plus_plus(int)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	                  l), d))), 
17.15/17.32	          app_encode_app(int, int, 
17.15/17.32	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e))), d))), d)
17.15/17.32	     != app_encode_app(int, int, 
17.15/17.32	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	            app_encode_app(int, int, 
17.15/17.32	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                aa(int, int), 
17.15/17.32	                app_encode_app(int, fun(int, int), 
17.15/17.32	                  app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                    app_encode_fun(int, fun(int, int)), 
17.15/17.32	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e)))), d),
17.15/17.32	    inference('cnf', [status(esa)], [zf_stmt_0])).
17.15/17.32	tff('11', plain,
17.15/17.32	    app_encode_app(int, int, 
17.15/17.32	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	        app_encode_app(int, int, 
17.15/17.32	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	            aa(int, int), 
17.15/17.32	            app_encode_app(int, fun(int, int), 
17.15/17.32	              app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
17.15/17.32	                plus_plus(int)), l)), 
17.15/17.32	          app_encode_app(int, int, 
17.15/17.32	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	              aa(int, int), 
17.15/17.32	              app_encode_app(int, fun(int, int), 
17.15/17.32	                app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                  app_encode_fun(int, fun(int, int)), 
17.15/17.32	                  aa(int, fun(int, int)), plus_plus(int)), i)), 
17.15/17.32	            app_encode_app(list(int), int, 
17.15/17.32	              app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                iprod(int), ks), e)))), d)
17.15/17.32	     != app_encode_app(int, int, 
17.15/17.32	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
17.15/17.32	            app_encode_app(int, int, 
17.15/17.32	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                aa(int, int), 
17.15/17.32	                app_encode_app(int, fun(int, int), 
17.15/17.32	                  app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                    app_encode_fun(int, fun(int, int)), 
17.15/17.32	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
17.15/17.32	              app_encode_app(int, int, 
17.15/17.32	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
17.15/17.32	                  aa(int, int), 
17.15/17.32	                  app_encode_app(int, fun(int, int), 
17.15/17.32	                    app_encode_app(fun(int, fun(int, int)), 
17.15/17.32	                      app_encode_fun(int, fun(int, int)), 
17.15/17.32	                      aa(int, fun(int, int)), plus_plus(int)), j)), 
17.15/17.32	                app_encode_app(list(int), int, 
17.15/17.32	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
17.15/17.32	                    iprod(int), ks), e)))), d),
17.15/17.32	    inference('demod', [status(thm)], ['10', '1'])).
17.15/17.32	tff('12', plain, $false,
17.15/17.32	    inference('simplify_reflect-', [status(thm)], ['9', '11'])).
17.15/17.32	
17.15/17.32	% SZS output end Refutation
17.16/17.33	EOF
