0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n152.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:34:38 CST 2018
18.62/18.81	% done 1567 iterations in 18.611s
18.62/18.81	% SZS status Theorem for 'stdin'
18.62/18.81	% SZS output start Refutation
18.62/18.82	tff(zf_stmt_68, axiom,
18.62/18.82	  (![A1:$tType]:
18.62/18.82	     (semiring_div(A1) =>
18.62/18.82	      (![C:A1,B1:A1,A:A1]:
18.62/18.82	         (app_encode_app(A1,A1,
18.62/18.82	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
18.62/18.82	                                        app_encode_app(A1,A1,
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,A1),
18.62/18.82	                                                       app_encode_fun(A1,A1),
18.62/18.82	                                                       aa(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,fun(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,fun(A1,A1)),
18.62/18.82	                                                       app_encode_fun(
18.62/18.82	                                                       A1,fun(A1,A1)),
18.62/18.82	                                                       aa(A1,fun(A1,A1)),
18.62/18.82	                                                       plus_plus(A1)),A)),B1)),
18.62/18.82	                         C) =
18.62/18.82	          app_encode_app(A1,A1,
18.62/18.82	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
18.62/18.82	                                        app_encode_app(A1,A1,
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,A1),
18.62/18.82	                                                       app_encode_fun(A1,A1),
18.62/18.82	                                                       aa(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,fun(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,fun(A1,A1)),
18.62/18.82	                                                       app_encode_fun(
18.62/18.82	                                                       A1,fun(A1,A1)),
18.62/18.82	                                                       aa(A1,fun(A1,A1)),
18.62/18.82	                                                       plus_plus(A1)),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,A1,
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,
18.62/18.82	                                                       app_encode_fun(A1,A1),
18.62/18.82	                                                       div_mod(A1),A),C))),B1)),
18.62/18.82	                         C)))))).
18.62/18.82	tff('0', plain,
18.62/18.82	    ![X31 : $tType, X32 : X31, X33 : X31, X34 : X31]:
18.62/18.82	      (app_encode_app(X31, X31, 
18.62/18.82	         app_encode_app(X31, app_encode_fun(X31, X31), div_mod(X31), 
18.62/18.82	           app_encode_app(X31, X31, 
18.62/18.82	             app_encode_app(fun(X31, X31), app_encode_fun(X31, X31), 
18.62/18.82	               aa(X31, X31), 
18.62/18.82	               app_encode_app(X31, fun(X31, X31), 
18.62/18.82	                 app_encode_app(fun(X31, fun(X31, X31)), 
18.62/18.82	                   app_encode_fun(X31, fun(X31, X31)), 
18.62/18.82	                   aa(X31, fun(X31, X31)), plus_plus(X31)), X32)), X34)), 
18.62/18.82	         X33)
18.62/18.82	        = app_encode_app(X31, X31, 
18.62/18.82	            app_encode_app(X31, app_encode_fun(X31, X31), div_mod(X31), 
18.62/18.82	              app_encode_app(X31, X31, 
18.62/18.82	                app_encode_app(fun(X31, X31), app_encode_fun(X31, X31), 
18.62/18.82	                  aa(X31, X31), 
18.62/18.82	                  app_encode_app(X31, fun(X31, X31), 
18.62/18.82	                    app_encode_app(fun(X31, fun(X31, X31)), 
18.62/18.82	                      app_encode_fun(X31, fun(X31, X31)), 
18.62/18.82	                      aa(X31, fun(X31, X31)), plus_plus(X31)), 
18.62/18.82	                    app_encode_app(X31, X31, 
18.62/18.82	                      app_encode_app(X31, app_encode_fun(X31, X31), 
18.62/18.82	                        div_mod(X31), X32), X33))), X34)), X33)
18.62/18.82	       | ~ semiring_div(X31)),
18.62/18.82	    inference('cnf', [status(esa)], [zf_stmt_68])).
18.62/18.82	tff(zf_stmt_57, axiom,
18.62/18.82	  (app_encode_app(int,int,
18.62/18.82	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
18.62/18.82	                                 app_encode_app(int,int,
18.62/18.82	                                                app_encode_app(fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               l)),
18.62/18.82	                                                app_encode_app(int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               i)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               list(int),int),
18.62/18.82	                                                               iprod(int),ks),
18.62/18.82	                                                               e)))),
18.62/18.82	                  d) =
18.62/18.82	   app_encode_app(int,int,
18.62/18.82	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
18.62/18.82	                                 app_encode_app(int,int,
18.62/18.82	                                                app_encode_app(fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               div_mod(int),l),
18.62/18.82	                                                               d))),
18.62/18.82	                                                app_encode_app(int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               div_mod(int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               j)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               list(int),int),
18.62/18.82	                                                               iprod(int),ks),
18.62/18.82	                                                               e))),d))),
18.62/18.82	                  d))).
18.62/18.82	tff('1', plain,
18.62/18.82	    app_encode_app(int, int, 
18.62/18.82	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	        app_encode_app(int, int, 
18.62/18.82	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	            aa(int, int), 
18.62/18.82	            app_encode_app(int, fun(int, int), 
18.62/18.82	              app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                plus_plus(int)), l)), 
18.62/18.82	          app_encode_app(int, int, 
18.62/18.82	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	              aa(int, int), 
18.62/18.82	              app_encode_app(int, fun(int, int), 
18.62/18.82	                app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                  app_encode_fun(int, fun(int, int)), 
18.62/18.82	                  aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	            app_encode_app(list(int), int, 
18.62/18.82	              app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                iprod(int), ks), e)))), d)
18.62/18.82	     = app_encode_app(int, int, 
18.62/18.82	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), 
18.62/18.82	                 app_encode_app(int, int, 
18.62/18.82	                   app_encode_app(int, app_encode_fun(int, int), 
18.62/18.82	                     div_mod(int), l), d))), 
18.62/18.82	             app_encode_app(int, int, 
18.62/18.82	               app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	                 app_encode_app(int, int, 
18.62/18.82	                   app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                     aa(int, int), 
18.62/18.82	                     app_encode_app(int, fun(int, int), 
18.62/18.82	                       app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                         app_encode_fun(int, fun(int, int)), 
18.62/18.82	                         aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	                   app_encode_app(list(int), int, 
18.62/18.82	                     app_encode_app(list(int), 
18.62/18.82	                       app_encode_fun(list(int), int), iprod(int), ks), e))), 
18.62/18.82	               d))), d),
18.62/18.82	    inference('cnf', [status(esa)], [zf_stmt_57])).
18.62/18.82	tff(zf_stmt_67, axiom,
18.62/18.82	  (![A1:$tType]:
18.62/18.82	     (semiring_div(A1) =>
18.62/18.82	      (![C:A1,B1:A1,A:A1]:
18.62/18.82	         (app_encode_app(A1,A1,
18.62/18.82	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
18.62/18.82	                                        app_encode_app(A1,A1,
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,A1),
18.62/18.82	                                                       app_encode_fun(A1,A1),
18.62/18.82	                                                       aa(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,fun(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,fun(A1,A1)),
18.62/18.82	                                                       app_encode_fun(
18.62/18.82	                                                       A1,fun(A1,A1)),
18.62/18.82	                                                       aa(A1,fun(A1,A1)),
18.62/18.82	                                                       plus_plus(A1)),A)),B1)),
18.62/18.82	                         C) =
18.62/18.82	          app_encode_app(A1,A1,
18.62/18.82	                         app_encode_app(A1,app_encode_fun(A1,A1),div_mod(A1),
18.62/18.82	                                        app_encode_app(A1,A1,
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,A1),
18.62/18.82	                                                       app_encode_fun(A1,A1),
18.62/18.82	                                                       aa(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,fun(A1,A1),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       fun(A1,fun(A1,A1)),
18.62/18.82	                                                       app_encode_fun(
18.62/18.82	                                                       A1,fun(A1,A1)),
18.62/18.82	                                                       aa(A1,fun(A1,A1)),
18.62/18.82	                                                       plus_plus(A1)),A)),
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,A1,
18.62/18.82	                                                       app_encode_app(
18.62/18.82	                                                       A1,
18.62/18.82	                                                       app_encode_fun(A1,A1),
18.62/18.82	                                                       div_mod(A1),B1),C))),
18.62/18.82	                         C)))))).
18.62/18.82	tff('2', plain,
18.62/18.82	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
18.62/18.82	      (app_encode_app(X27, X27, 
18.62/18.82	         app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
18.62/18.82	           app_encode_app(X27, X27, 
18.62/18.82	             app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
18.62/18.82	               aa(X27, X27), 
18.62/18.82	               app_encode_app(X27, fun(X27, X27), 
18.62/18.82	                 app_encode_app(fun(X27, fun(X27, X27)), 
18.62/18.82	                   app_encode_fun(X27, fun(X27, X27)), 
18.62/18.82	                   aa(X27, fun(X27, X27)), plus_plus(X27)), X28)), X29)), 
18.62/18.82	         X30)
18.62/18.82	        = app_encode_app(X27, X27, 
18.62/18.82	            app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
18.62/18.82	              app_encode_app(X27, X27, 
18.62/18.82	                app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
18.62/18.82	                  aa(X27, X27), 
18.62/18.82	                  app_encode_app(X27, fun(X27, X27), 
18.62/18.82	                    app_encode_app(fun(X27, fun(X27, X27)), 
18.62/18.82	                      app_encode_fun(X27, fun(X27, X27)), 
18.62/18.82	                      aa(X27, fun(X27, X27)), plus_plus(X27)), X28)), 
18.62/18.82	                app_encode_app(X27, X27, 
18.62/18.82	                  app_encode_app(X27, app_encode_fun(X27, X27), 
18.62/18.82	                    div_mod(X27), X29), X30))), X30)
18.62/18.82	       | ~ semiring_div(X27)),
18.62/18.82	    inference('cnf', [status(esa)], [zf_stmt_67])).
18.62/18.82	tff('3', plain,
18.62/18.82	    (app_encode_app(int, int, 
18.62/18.82	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	         app_encode_app(int, int, 
18.62/18.82	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	             aa(int, int), 
18.62/18.82	             app_encode_app(int, fun(int, int), 
18.62/18.82	               app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                 plus_plus(int)), 
18.62/18.82	               app_encode_app(int, int, 
18.62/18.82	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	                   l), d))), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	             app_encode_app(list(int), int, 
18.62/18.82	               app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                 iprod(int), ks), e)))), d)
18.62/18.82	      = app_encode_app(int, int, 
18.62/18.82	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	            app_encode_app(int, int, 
18.62/18.82	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                aa(int, int), 
18.62/18.82	                app_encode_app(int, fun(int, int), 
18.62/18.82	                  app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                    app_encode_fun(int, fun(int, int)), 
18.62/18.82	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e)))), d)
18.62/18.82	     | ~ semiring_div(int)),
18.62/18.82	    inference('sup+', [status(thm)], ['1', '2'])).
18.62/18.82	tff(zf_stmt_162, axiom, (semiring_div(int))).
18.62/18.82	tff('4', plain, semiring_div(int),
18.62/18.82	    inference('cnf', [status(esa)], [zf_stmt_162])).
18.62/18.82	tff('5', plain,
18.62/18.82	    (app_encode_app(int, int, 
18.62/18.82	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	         app_encode_app(int, int, 
18.62/18.82	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	             aa(int, int), 
18.62/18.82	             app_encode_app(int, fun(int, int), 
18.62/18.82	               app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                 plus_plus(int)), 
18.62/18.82	               app_encode_app(int, int, 
18.62/18.82	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	                   l), d))), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	             app_encode_app(list(int), int, 
18.62/18.82	               app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                 iprod(int), ks), e)))), d)
18.62/18.82	      = app_encode_app(int, int, 
18.62/18.82	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	            app_encode_app(int, int, 
18.62/18.82	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                aa(int, int), 
18.62/18.82	                app_encode_app(int, fun(int, int), 
18.62/18.82	                  app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                    app_encode_fun(int, fun(int, int)), 
18.62/18.82	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e)))), d)
18.62/18.82	     | ~ $true),
18.62/18.82	    inference('demod', [status(thm)], ['3', '4'])).
18.62/18.82	tff('6', plain,
18.62/18.82	    app_encode_app(int, int, 
18.62/18.82	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	        app_encode_app(int, int, 
18.62/18.82	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	            aa(int, int), 
18.62/18.82	            app_encode_app(int, fun(int, int), 
18.62/18.82	              app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                plus_plus(int)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	                  l), d))), 
18.62/18.82	          app_encode_app(int, int, 
18.62/18.82	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	              aa(int, int), 
18.62/18.82	              app_encode_app(int, fun(int, int), 
18.62/18.82	                app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                  app_encode_fun(int, fun(int, int)), 
18.62/18.82	                  aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	            app_encode_app(list(int), int, 
18.62/18.82	              app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                iprod(int), ks), e)))), d)
18.62/18.82	     = app_encode_app(int, int, 
18.62/18.82	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	             app_encode_app(int, int, 
18.62/18.82	               app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                 aa(int, int), 
18.62/18.82	                 app_encode_app(int, fun(int, int), 
18.62/18.82	                   app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                     app_encode_fun(int, fun(int, int)), 
18.62/18.82	                     aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	               app_encode_app(list(int), int, 
18.62/18.82	                 app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                   iprod(int), ks), e)))), d),
18.62/18.82	    inference('simplify', [status(thm)], ['5'])).
18.62/18.82	tff('7', plain,
18.62/18.82	    (app_encode_app(int, int, 
18.62/18.82	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	         app_encode_app(int, int, 
18.62/18.82	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	             aa(int, int), 
18.62/18.82	             app_encode_app(int, fun(int, int), 
18.62/18.82	               app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                 plus_plus(int)), l)), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	             app_encode_app(list(int), int, 
18.62/18.82	               app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                 iprod(int), ks), e)))), d)
18.62/18.82	      = app_encode_app(int, int, 
18.62/18.82	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	            app_encode_app(int, int, 
18.62/18.82	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                aa(int, int), 
18.62/18.82	                app_encode_app(int, fun(int, int), 
18.62/18.82	                  app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                    app_encode_fun(int, fun(int, int)), 
18.62/18.82	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e)))), d)
18.62/18.82	     | ~ semiring_div(int)),
18.62/18.82	    inference('sup+', [status(thm)], ['0', '6'])).
18.62/18.82	tff('8', plain,
18.62/18.82	    (app_encode_app(int, int, 
18.62/18.82	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	         app_encode_app(int, int, 
18.62/18.82	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	             aa(int, int), 
18.62/18.82	             app_encode_app(int, fun(int, int), 
18.62/18.82	               app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                 plus_plus(int)), l)), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	             app_encode_app(list(int), int, 
18.62/18.82	               app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                 iprod(int), ks), e)))), d)
18.62/18.82	      = app_encode_app(int, int, 
18.62/18.82	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	            app_encode_app(int, int, 
18.62/18.82	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                aa(int, int), 
18.62/18.82	                app_encode_app(int, fun(int, int), 
18.62/18.82	                  app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                    app_encode_fun(int, fun(int, int)), 
18.62/18.82	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e)))), d)
18.62/18.82	     | ~ $true),
18.62/18.82	    inference('demod', [status(thm)], ['7', '4'])).
18.62/18.82	tff('9', plain,
18.62/18.82	    app_encode_app(int, int, 
18.62/18.82	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	        app_encode_app(int, int, 
18.62/18.82	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	            aa(int, int), 
18.62/18.82	            app_encode_app(int, fun(int, int), 
18.62/18.82	              app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                plus_plus(int)), l)), 
18.62/18.82	          app_encode_app(int, int, 
18.62/18.82	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	              aa(int, int), 
18.62/18.82	              app_encode_app(int, fun(int, int), 
18.62/18.82	                app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                  app_encode_fun(int, fun(int, int)), 
18.62/18.82	                  aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	            app_encode_app(list(int), int, 
18.62/18.82	              app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                iprod(int), ks), e)))), d)
18.62/18.82	     = app_encode_app(int, int, 
18.62/18.82	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	           app_encode_app(int, int, 
18.62/18.82	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	               aa(int, int), 
18.62/18.82	               app_encode_app(int, fun(int, int), 
18.62/18.82	                 app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                   app_encode_fun(int, fun(int, int)), 
18.62/18.82	                   aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	             app_encode_app(int, int, 
18.62/18.82	               app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                 aa(int, int), 
18.62/18.82	                 app_encode_app(int, fun(int, int), 
18.62/18.82	                   app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                     app_encode_fun(int, fun(int, int)), 
18.62/18.82	                     aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	               app_encode_app(list(int), int, 
18.62/18.82	                 app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                   iprod(int), ks), e)))), d),
18.62/18.82	    inference('simplify', [status(thm)], ['8'])).
18.62/18.82	tff(zf_stmt_174, conjecture,
18.62/18.82	  (app_encode_app(int,int,
18.62/18.82	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
18.62/18.82	                                 app_encode_app(int,int,
18.62/18.82	                                                app_encode_app(fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               div_mod(int),l),
18.62/18.82	                                                               d))),
18.62/18.82	                                                app_encode_app(int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               div_mod(int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               j)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               list(int),int),
18.62/18.82	                                                               iprod(int),ks),
18.62/18.82	                                                               e))),d))),
18.62/18.82	                  d) =
18.62/18.82	   app_encode_app(int,int,
18.62/18.82	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
18.62/18.82	                                 app_encode_app(int,int,
18.62/18.82	                                                app_encode_app(fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               l)),
18.62/18.82	                                                app_encode_app(int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               j)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               list(int),int),
18.62/18.82	                                                               iprod(int),ks),
18.62/18.82	                                                               e)))),
18.62/18.82	                  d))).
18.62/18.82	tff(zf_stmt_0, negated_conjecture,
18.62/18.82	  (app_encode_app(int,int,
18.62/18.82	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
18.62/18.82	                                 app_encode_app(int,int,
18.62/18.82	                                                app_encode_app(fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               div_mod(int),l),
18.62/18.82	                                                               d))),
18.62/18.82	                                                app_encode_app(int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               div_mod(int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               j)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               list(int),int),
18.62/18.82	                                                               iprod(int),ks),
18.62/18.82	                                                               e))),d))),
18.62/18.82	                  d) !=
18.62/18.82	   app_encode_app(int,int,
18.62/18.82	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
18.62/18.82	                                 app_encode_app(int,int,
18.62/18.82	                                                app_encode_app(fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               l)),
18.62/18.82	                                                app_encode_app(int,int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,int),
18.62/18.82	                                                               aa(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               fun(int,
18.62/18.82	                                                                   fun(
18.62/18.82	                                                                   int,int)),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               int,
18.62/18.82	                                                               fun(int,int)),
18.62/18.82	                                                               aa(int,
18.62/18.82	                                                                  fun(
18.62/18.82	                                                                  int,int)),
18.62/18.82	                                                               plus_plus(int)),
18.62/18.82	                                                               j)),
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),int,
18.62/18.82	                                                               app_encode_app(
18.62/18.82	                                                               list(int),
18.62/18.82	                                                               app_encode_fun(
18.62/18.82	                                                               list(int),int),
18.62/18.82	                                                               iprod(int),ks),
18.62/18.82	                                                               e)))),
18.62/18.82	                  d))).
18.62/18.82	tff('10', plain,
18.62/18.82	    app_encode_app(int, int, 
18.62/18.82	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	        app_encode_app(int, int, 
18.62/18.82	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	            aa(int, int), 
18.62/18.82	            app_encode_app(int, fun(int, int), 
18.62/18.82	              app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                plus_plus(int)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	                  l), d))), 
18.62/18.82	          app_encode_app(int, int, 
18.62/18.82	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e))), d))), d)
18.62/18.82	     != app_encode_app(int, int, 
18.62/18.82	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	            app_encode_app(int, int, 
18.62/18.82	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                aa(int, int), 
18.62/18.82	                app_encode_app(int, fun(int, int), 
18.62/18.82	                  app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                    app_encode_fun(int, fun(int, int)), 
18.62/18.82	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e)))), d),
18.62/18.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
18.62/18.82	tff('11', plain,
18.62/18.82	    app_encode_app(int, int, 
18.62/18.82	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	        app_encode_app(int, int, 
18.62/18.82	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	            aa(int, int), 
18.62/18.82	            app_encode_app(int, fun(int, int), 
18.62/18.82	              app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
18.62/18.82	                plus_plus(int)), l)), 
18.62/18.82	          app_encode_app(int, int, 
18.62/18.82	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	              aa(int, int), 
18.62/18.82	              app_encode_app(int, fun(int, int), 
18.62/18.82	                app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                  app_encode_fun(int, fun(int, int)), 
18.62/18.82	                  aa(int, fun(int, int)), plus_plus(int)), i)), 
18.62/18.82	            app_encode_app(list(int), int, 
18.62/18.82	              app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                iprod(int), ks), e)))), d)
18.62/18.82	     != app_encode_app(int, int, 
18.62/18.82	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
18.62/18.82	            app_encode_app(int, int, 
18.62/18.82	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                aa(int, int), 
18.62/18.82	                app_encode_app(int, fun(int, int), 
18.62/18.82	                  app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                    app_encode_fun(int, fun(int, int)), 
18.62/18.82	                    aa(int, fun(int, int)), plus_plus(int)), l)), 
18.62/18.82	              app_encode_app(int, int, 
18.62/18.82	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
18.62/18.82	                  aa(int, int), 
18.62/18.82	                  app_encode_app(int, fun(int, int), 
18.62/18.82	                    app_encode_app(fun(int, fun(int, int)), 
18.62/18.82	                      app_encode_fun(int, fun(int, int)), 
18.62/18.82	                      aa(int, fun(int, int)), plus_plus(int)), j)), 
18.62/18.82	                app_encode_app(list(int), int, 
18.62/18.82	                  app_encode_app(list(int), app_encode_fun(list(int), int), 
18.62/18.82	                    iprod(int), ks), e)))), d),
18.62/18.82	    inference('demod', [status(thm)], ['10', '1'])).
18.62/18.82	tff('12', plain, $false,
18.62/18.82	    inference('simplify_reflect-', [status(thm)], ['9', '11'])).
18.62/18.82	
18.62/18.82	% SZS output end Refutation
18.62/18.82	EOF
