0.00/0.00	% File    : /export/starexec/sandbox2/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    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n151.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 08:31:08 CST 2018
24.31/24.56	% done 1691 iterations in 24.360s
24.31/24.56	% SZS status Theorem for 'stdin'
24.31/24.56	% SZS output start Refutation
24.31/24.57	tff(zf_stmt_55, axiom,
24.31/24.57	  (app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
24.31/24.57	                                 app_encode_app(int,int,
24.31/24.57	                                                app_encode_app(fun(int,int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               aa(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               fun(int,
24.31/24.57	                                                                   fun(
24.31/24.57	                                                                   int,int)),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int)),
24.31/24.57	                                                               aa(int,
24.31/24.57	                                                                  fun(
24.31/24.57	                                                                  int,int)),
24.31/24.57	                                                               plus_plus(int)),
24.31/24.57	                                                               i)),
24.31/24.57	                                                app_encode_app(list(int),int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               list(int),int),
24.31/24.57	                                                               iprod(int),ks),
24.31/24.57	                                                               e))),
24.31/24.57	                  d) =
24.31/24.57	   app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
24.31/24.57	                                 app_encode_app(int,int,
24.31/24.57	                                                app_encode_app(fun(int,int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               aa(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               fun(int,
24.31/24.57	                                                                   fun(
24.31/24.57	                                                                   int,int)),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int)),
24.31/24.57	                                                               aa(int,
24.31/24.57	                                                                  fun(
24.31/24.57	                                                                  int,int)),
24.31/24.57	                                                               plus_plus(int)),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               div_mod(int),i),
24.31/24.57	                                                               d))),
24.31/24.57	                                                app_encode_app(int,int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               div_mod(int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               list(int),int),
24.31/24.57	                                                               iprod(int),ks),
24.31/24.57	                                                               e)),d))),
24.31/24.57	                  d))).
24.31/24.57	tff('0', plain,
24.31/24.57	    app_encode_app(int, int, 
24.31/24.57	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	        app_encode_app(int, int, 
24.31/24.57	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	            aa(int, int), 
24.31/24.57	            app_encode_app(int, fun(int, int), 
24.31/24.57	              app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                plus_plus(int)), i)), 
24.31/24.57	          app_encode_app(list(int), int, 
24.31/24.57	            app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	              iprod(int), ks), e))), d)
24.31/24.57	     = app_encode_app(int, int, 
24.31/24.57	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	           app_encode_app(int, int, 
24.31/24.57	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	               aa(int, int), 
24.31/24.57	               app_encode_app(int, fun(int, int), 
24.31/24.57	                 app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                   app_encode_fun(int, fun(int, int)), 
24.31/24.57	                   aa(int, fun(int, int)), plus_plus(int)), 
24.31/24.57	                 app_encode_app(int, int, 
24.31/24.57	                   app_encode_app(int, app_encode_fun(int, int), 
24.31/24.57	                     div_mod(int), i), d))), 
24.31/24.57	             app_encode_app(int, int, 
24.31/24.57	               app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	                 app_encode_app(list(int), int, 
24.31/24.57	                   app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                     iprod(int), ks), e)), d))), d),
24.31/24.57	    inference('cnf', [status(esa)], [zf_stmt_55])).
24.31/24.57	tff(zf_stmt_65, axiom,
24.31/24.57	  (![A:$tType]:
24.31/24.57	     (semiring_div(A) =>
24.31/24.57	      (![C:A,B1:A,A1:A]:
24.31/24.57	         (app_encode_app(A,A,
24.31/24.57	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
24.31/24.57	                                        app_encode_app(A,A,
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,A),
24.31/24.57	                                                       app_encode_fun(A,A),
24.31/24.57	                                                       aa(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,fun(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,fun(A,A)),
24.31/24.57	                                                       app_encode_fun(
24.31/24.57	                                                       A,fun(A,A)),
24.31/24.57	                                                       aa(A,fun(A,A)),
24.31/24.57	                                                       plus_plus(A)),A1)),B1)),
24.31/24.57	                         C) =
24.31/24.57	          app_encode_app(A,A,
24.31/24.57	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
24.31/24.57	                                        app_encode_app(A,A,
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,A),
24.31/24.57	                                                       app_encode_fun(A,A),
24.31/24.57	                                                       aa(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,fun(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,fun(A,A)),
24.31/24.57	                                                       app_encode_fun(
24.31/24.57	                                                       A,fun(A,A)),
24.31/24.57	                                                       aa(A,fun(A,A)),
24.31/24.57	                                                       plus_plus(A)),A1)),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,A,
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,app_encode_fun(A,A),
24.31/24.57	                                                       div_mod(A),B1),C))),
24.31/24.57	                         C)))))).
24.31/24.57	tff('1', plain,
24.31/24.57	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
24.31/24.57	      (app_encode_app(X23, X23, 
24.31/24.57	         app_encode_app(X23, app_encode_fun(X23, X23), div_mod(X23), 
24.31/24.57	           app_encode_app(X23, X23, 
24.31/24.57	             app_encode_app(fun(X23, X23), app_encode_fun(X23, X23), 
24.31/24.57	               aa(X23, X23), 
24.31/24.57	               app_encode_app(X23, fun(X23, X23), 
24.31/24.57	                 app_encode_app(fun(X23, fun(X23, X23)), 
24.31/24.57	                   app_encode_fun(X23, fun(X23, X23)), 
24.31/24.57	                   aa(X23, fun(X23, X23)), plus_plus(X23)), X24)), X25)), 
24.31/24.57	         X26)
24.31/24.57	        = app_encode_app(X23, X23, 
24.31/24.57	            app_encode_app(X23, app_encode_fun(X23, X23), div_mod(X23), 
24.31/24.57	              app_encode_app(X23, X23, 
24.31/24.57	                app_encode_app(fun(X23, X23), app_encode_fun(X23, X23), 
24.31/24.57	                  aa(X23, X23), 
24.31/24.57	                  app_encode_app(X23, fun(X23, X23), 
24.31/24.57	                    app_encode_app(fun(X23, fun(X23, X23)), 
24.31/24.57	                      app_encode_fun(X23, fun(X23, X23)), 
24.31/24.57	                      aa(X23, fun(X23, X23)), plus_plus(X23)), X24)), 
24.31/24.57	                app_encode_app(X23, X23, 
24.31/24.57	                  app_encode_app(X23, app_encode_fun(X23, X23), 
24.31/24.57	                    div_mod(X23), X25), X26))), X26)
24.31/24.57	       | ~ semiring_div(X23)),
24.31/24.57	    inference('cnf', [status(esa)], [zf_stmt_65])).
24.31/24.57	tff('2', plain,
24.31/24.57	    (app_encode_app(int, int, 
24.31/24.57	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	         app_encode_app(int, int, 
24.31/24.57	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	             aa(int, int), 
24.31/24.57	             app_encode_app(int, fun(int, int), 
24.31/24.57	               app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                 plus_plus(int)), 
24.31/24.57	               app_encode_app(int, int, 
24.31/24.57	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	                   i), d))), 
24.31/24.57	           app_encode_app(list(int), int, 
24.31/24.57	             app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	               iprod(int), ks), e))), d)
24.31/24.57	      = app_encode_app(int, int, 
24.31/24.57	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	            app_encode_app(int, int, 
24.31/24.57	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                aa(int, int), 
24.31/24.57	                app_encode_app(int, fun(int, int), 
24.31/24.57	                  app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                    app_encode_fun(int, fun(int, int)), 
24.31/24.57	                    aa(int, fun(int, int)), plus_plus(int)), i)), 
24.31/24.57	              app_encode_app(list(int), int, 
24.31/24.57	                app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                  iprod(int), ks), e))), d)
24.31/24.57	     | ~ semiring_div(int)),
24.31/24.57	    inference('sup+', [status(thm)], ['0', '1'])).
24.31/24.57	tff(zf_stmt_161, axiom, (semiring_div(int))).
24.31/24.57	tff('3', plain, semiring_div(int),
24.31/24.57	    inference('cnf', [status(esa)], [zf_stmt_161])).
24.31/24.57	tff('4', plain,
24.31/24.57	    (app_encode_app(int, int, 
24.31/24.57	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	         app_encode_app(int, int, 
24.31/24.57	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	             aa(int, int), 
24.31/24.57	             app_encode_app(int, fun(int, int), 
24.31/24.57	               app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                 plus_plus(int)), 
24.31/24.57	               app_encode_app(int, int, 
24.31/24.57	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	                   i), d))), 
24.31/24.57	           app_encode_app(list(int), int, 
24.31/24.57	             app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	               iprod(int), ks), e))), d)
24.31/24.57	      = app_encode_app(int, int, 
24.31/24.57	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	            app_encode_app(int, int, 
24.31/24.57	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                aa(int, int), 
24.31/24.57	                app_encode_app(int, fun(int, int), 
24.31/24.57	                  app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                    app_encode_fun(int, fun(int, int)), 
24.31/24.57	                    aa(int, fun(int, int)), plus_plus(int)), i)), 
24.31/24.57	              app_encode_app(list(int), int, 
24.31/24.57	                app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                  iprod(int), ks), e))), d)
24.31/24.57	     | ~ $true),
24.31/24.57	    inference('demod', [status(thm)], ['2', '3'])).
24.31/24.57	tff('5', plain,
24.31/24.57	    app_encode_app(int, int, 
24.31/24.57	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	        app_encode_app(int, int, 
24.31/24.57	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	            aa(int, int), 
24.31/24.57	            app_encode_app(int, fun(int, int), 
24.31/24.57	              app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                plus_plus(int)), 
24.31/24.57	              app_encode_app(int, int, 
24.31/24.57	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	                  i), d))), 
24.31/24.57	          app_encode_app(list(int), int, 
24.31/24.57	            app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	              iprod(int), ks), e))), d)
24.31/24.57	     = app_encode_app(int, int, 
24.31/24.57	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	           app_encode_app(int, int, 
24.31/24.57	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	               aa(int, int), 
24.31/24.57	               app_encode_app(int, fun(int, int), 
24.31/24.57	                 app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                   app_encode_fun(int, fun(int, int)), 
24.31/24.57	                   aa(int, fun(int, int)), plus_plus(int)), i)), 
24.31/24.57	             app_encode_app(list(int), int, 
24.31/24.57	               app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                 iprod(int), ks), e))), d),
24.31/24.57	    inference('simplify', [status(thm)], ['4'])).
24.31/24.57	tff(zf_stmt_56, axiom,
24.31/24.57	  (app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),i),
24.31/24.57	                  d) =
24.31/24.57	   app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),j),
24.31/24.57	                  d))).
24.31/24.57	tff('6', plain,
24.31/24.57	    app_encode_app(int, int, 
24.31/24.57	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), i), d)
24.31/24.57	     = app_encode_app(int, int, 
24.31/24.57	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), j), d),
24.31/24.57	    inference('cnf', [status(esa)], [zf_stmt_56])).
24.31/24.57	tff(zf_stmt_66, axiom,
24.31/24.57	  (![A:$tType]:
24.31/24.57	     (semiring_div(A) =>
24.31/24.57	      (![C:A,B1:A,A1:A]:
24.31/24.57	         (app_encode_app(A,A,
24.31/24.57	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
24.31/24.57	                                        app_encode_app(A,A,
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,A),
24.31/24.57	                                                       app_encode_fun(A,A),
24.31/24.57	                                                       aa(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,fun(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,fun(A,A)),
24.31/24.57	                                                       app_encode_fun(
24.31/24.57	                                                       A,fun(A,A)),
24.31/24.57	                                                       aa(A,fun(A,A)),
24.31/24.57	                                                       plus_plus(A)),A1)),B1)),
24.31/24.57	                         C) =
24.31/24.57	          app_encode_app(A,A,
24.31/24.57	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
24.31/24.57	                                        app_encode_app(A,A,
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,A),
24.31/24.57	                                                       app_encode_fun(A,A),
24.31/24.57	                                                       aa(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,fun(A,A),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       fun(A,fun(A,A)),
24.31/24.57	                                                       app_encode_fun(
24.31/24.57	                                                       A,fun(A,A)),
24.31/24.57	                                                       aa(A,fun(A,A)),
24.31/24.57	                                                       plus_plus(A)),
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,A,
24.31/24.57	                                                       app_encode_app(
24.31/24.57	                                                       A,app_encode_fun(A,A),
24.31/24.57	                                                       div_mod(A),A1),C))),B1)),
24.31/24.57	                         C)))))).
24.31/24.57	tff('7', plain,
24.31/24.57	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
24.31/24.57	      (app_encode_app(X27, X27, 
24.31/24.57	         app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
24.31/24.57	           app_encode_app(X27, X27, 
24.31/24.57	             app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
24.31/24.57	               aa(X27, X27), 
24.31/24.57	               app_encode_app(X27, fun(X27, X27), 
24.31/24.57	                 app_encode_app(fun(X27, fun(X27, X27)), 
24.31/24.57	                   app_encode_fun(X27, fun(X27, X27)), 
24.31/24.57	                   aa(X27, fun(X27, X27)), plus_plus(X27)), X28)), X30)), 
24.31/24.57	         X29)
24.31/24.57	        = app_encode_app(X27, X27, 
24.31/24.57	            app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
24.31/24.57	              app_encode_app(X27, X27, 
24.31/24.57	                app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
24.31/24.57	                  aa(X27, X27), 
24.31/24.57	                  app_encode_app(X27, fun(X27, X27), 
24.31/24.57	                    app_encode_app(fun(X27, fun(X27, X27)), 
24.31/24.57	                      app_encode_fun(X27, fun(X27, X27)), 
24.31/24.57	                      aa(X27, fun(X27, X27)), plus_plus(X27)), 
24.31/24.57	                    app_encode_app(X27, X27, 
24.31/24.57	                      app_encode_app(X27, app_encode_fun(X27, X27), 
24.31/24.57	                        div_mod(X27), X28), X29))), X30)), X29)
24.31/24.57	       | ~ semiring_div(X27)),
24.31/24.57	    inference('cnf', [status(esa)], [zf_stmt_66])).
24.31/24.57	tff('8', plain,
24.31/24.57	    ![X0 : int]:
24.31/24.57	      (app_encode_app(int, int, 
24.31/24.57	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	           app_encode_app(int, int, 
24.31/24.57	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	               aa(int, int), 
24.31/24.57	               app_encode_app(int, fun(int, int), 
24.31/24.57	                 app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                   app_encode_fun(int, fun(int, int)), 
24.31/24.57	                   aa(int, fun(int, int)), plus_plus(int)), j)), X0)), d)
24.31/24.57	        = app_encode_app(int, int, 
24.31/24.57	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	              app_encode_app(int, int, 
24.31/24.57	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                  aa(int, int), 
24.31/24.57	                  app_encode_app(int, fun(int, int), 
24.31/24.57	                    app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                      app_encode_fun(int, fun(int, int)), 
24.31/24.57	                      aa(int, fun(int, int)), plus_plus(int)), 
24.31/24.57	                    app_encode_app(int, int, 
24.31/24.57	                      app_encode_app(int, app_encode_fun(int, int), 
24.31/24.57	                        div_mod(int), i), d))), X0)), d)
24.31/24.57	       | ~ semiring_div(int)),
24.31/24.57	    inference('sup+', [status(thm)], ['6', '7'])).
24.31/24.57	tff('9', plain,
24.31/24.57	    ![X0 : int]:
24.31/24.57	      (app_encode_app(int, int, 
24.31/24.57	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	           app_encode_app(int, int, 
24.31/24.57	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	               aa(int, int), 
24.31/24.57	               app_encode_app(int, fun(int, int), 
24.31/24.57	                 app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                   app_encode_fun(int, fun(int, int)), 
24.31/24.57	                   aa(int, fun(int, int)), plus_plus(int)), j)), X0)), d)
24.31/24.57	        = app_encode_app(int, int, 
24.31/24.57	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	              app_encode_app(int, int, 
24.31/24.57	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                  aa(int, int), 
24.31/24.57	                  app_encode_app(int, fun(int, int), 
24.31/24.57	                    app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                      app_encode_fun(int, fun(int, int)), 
24.31/24.57	                      aa(int, fun(int, int)), plus_plus(int)), 
24.31/24.57	                    app_encode_app(int, int, 
24.31/24.57	                      app_encode_app(int, app_encode_fun(int, int), 
24.31/24.57	                        div_mod(int), i), d))), X0)), d)
24.31/24.57	       | ~ $true),
24.31/24.57	    inference('demod', [status(thm)], ['8', '3'])).
24.31/24.57	tff('10', plain,
24.31/24.57	    ![X0 : int]:
24.31/24.57	      app_encode_app(int, int, 
24.31/24.57	        app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	          app_encode_app(int, int, 
24.31/24.57	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	              aa(int, int), 
24.31/24.57	              app_encode_app(int, fun(int, int), 
24.31/24.57	                app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                  app_encode_fun(int, fun(int, int)), 
24.31/24.57	                  aa(int, fun(int, int)), plus_plus(int)), j)), X0)), d)
24.31/24.57	       = app_encode_app(int, int, 
24.31/24.57	           app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	             app_encode_app(int, int, 
24.31/24.57	               app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                 aa(int, int), 
24.31/24.57	                 app_encode_app(int, fun(int, int), 
24.31/24.57	                   app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                     app_encode_fun(int, fun(int, int)), 
24.31/24.57	                     aa(int, fun(int, int)), plus_plus(int)), 
24.31/24.57	                   app_encode_app(int, int, 
24.31/24.57	                     app_encode_app(int, app_encode_fun(int, int), 
24.31/24.57	                       div_mod(int), i), d))), X0)), d),
24.31/24.57	    inference('simplify', [status(thm)], ['9'])).
24.31/24.57	tff('11', plain,
24.31/24.57	    app_encode_app(int, int, 
24.31/24.57	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	        app_encode_app(int, int, 
24.31/24.57	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	            aa(int, int), 
24.31/24.57	            app_encode_app(int, fun(int, int), 
24.31/24.57	              app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                plus_plus(int)), j)), 
24.31/24.57	          app_encode_app(list(int), int, 
24.31/24.57	            app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	              iprod(int), ks), e))), d)
24.31/24.57	     = app_encode_app(int, int, 
24.31/24.57	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	           app_encode_app(int, int, 
24.31/24.57	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	               aa(int, int), 
24.31/24.57	               app_encode_app(int, fun(int, int), 
24.31/24.57	                 app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                   app_encode_fun(int, fun(int, int)), 
24.31/24.57	                   aa(int, fun(int, int)), plus_plus(int)), i)), 
24.31/24.57	             app_encode_app(list(int), int, 
24.31/24.57	               app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                 iprod(int), ks), e))), d),
24.31/24.57	    inference('demod', [status(thm)], ['5', '10'])).
24.31/24.57	tff(zf_stmt_173, conjecture,
24.31/24.57	  (app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
24.31/24.57	                                 app_encode_app(int,int,
24.31/24.57	                                                app_encode_app(fun(int,int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               aa(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               fun(int,
24.31/24.57	                                                                   fun(
24.31/24.57	                                                                   int,int)),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int)),
24.31/24.57	                                                               aa(int,
24.31/24.57	                                                                  fun(
24.31/24.57	                                                                  int,int)),
24.31/24.57	                                                               plus_plus(int)),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               div_mod(int),j),
24.31/24.57	                                                               d))),
24.31/24.57	                                                app_encode_app(int,int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               div_mod(int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               list(int),int),
24.31/24.57	                                                               iprod(int),ks),
24.31/24.57	                                                               e)),d))),
24.31/24.57	                  d) =
24.31/24.57	   app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
24.31/24.57	                                 app_encode_app(int,int,
24.31/24.57	                                                app_encode_app(fun(int,int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               aa(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               fun(int,
24.31/24.57	                                                                   fun(
24.31/24.57	                                                                   int,int)),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int)),
24.31/24.57	                                                               aa(int,
24.31/24.57	                                                                  fun(
24.31/24.57	                                                                  int,int)),
24.31/24.57	                                                               plus_plus(int)),
24.31/24.57	                                                               j)),
24.31/24.57	                                                app_encode_app(list(int),int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               list(int),int),
24.31/24.57	                                                               iprod(int),ks),
24.31/24.57	                                                               e))),
24.31/24.57	                  d))).
24.31/24.57	tff(zf_stmt_0, negated_conjecture,
24.31/24.57	  (app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
24.31/24.57	                                 app_encode_app(int,int,
24.31/24.57	                                                app_encode_app(fun(int,int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               aa(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               fun(int,
24.31/24.57	                                                                   fun(
24.31/24.57	                                                                   int,int)),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int)),
24.31/24.57	                                                               aa(int,
24.31/24.57	                                                                  fun(
24.31/24.57	                                                                  int,int)),
24.31/24.57	                                                               plus_plus(int)),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               div_mod(int),j),
24.31/24.57	                                                               d))),
24.31/24.57	                                                app_encode_app(int,int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               div_mod(int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               list(int),int),
24.31/24.57	                                                               iprod(int),ks),
24.31/24.57	                                                               e)),d))),
24.31/24.57	                  d) !=
24.31/24.57	   app_encode_app(int,int,
24.31/24.57	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
24.31/24.57	                                 app_encode_app(int,int,
24.31/24.57	                                                app_encode_app(fun(int,int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,int),
24.31/24.57	                                                               aa(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int),
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               fun(int,
24.31/24.57	                                                                   fun(
24.31/24.57	                                                                   int,int)),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               int,
24.31/24.57	                                                               fun(int,int)),
24.31/24.57	                                                               aa(int,
24.31/24.57	                                                                  fun(
24.31/24.57	                                                                  int,int)),
24.31/24.57	                                                               plus_plus(int)),
24.31/24.57	                                                               j)),
24.31/24.57	                                                app_encode_app(list(int),int,
24.31/24.57	                                                               app_encode_app(
24.31/24.57	                                                               list(int),
24.31/24.57	                                                               app_encode_fun(
24.31/24.57	                                                               list(int),int),
24.31/24.57	                                                               iprod(int),ks),
24.31/24.57	                                                               e))),
24.31/24.57	                  d))).
24.31/24.57	tff('12', plain,
24.31/24.57	    app_encode_app(int, int, 
24.31/24.57	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	        app_encode_app(int, int, 
24.31/24.57	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	            aa(int, int), 
24.31/24.57	            app_encode_app(int, fun(int, int), 
24.31/24.57	              app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                plus_plus(int)), 
24.31/24.57	              app_encode_app(int, int, 
24.31/24.57	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	                  j), d))), 
24.31/24.57	          app_encode_app(int, int, 
24.31/24.57	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	              app_encode_app(list(int), int, 
24.31/24.57	                app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                  iprod(int), ks), e)), d))), d)
24.31/24.57	     != app_encode_app(int, int, 
24.31/24.57	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	            app_encode_app(int, int, 
24.31/24.57	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                aa(int, int), 
24.31/24.57	                app_encode_app(int, fun(int, int), 
24.31/24.57	                  app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                    app_encode_fun(int, fun(int, int)), 
24.31/24.57	                    aa(int, fun(int, int)), plus_plus(int)), j)), 
24.31/24.57	              app_encode_app(list(int), int, 
24.31/24.57	                app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                  iprod(int), ks), e))), d),
24.31/24.57	    inference('cnf', [status(esa)], [zf_stmt_0])).
24.31/24.57	tff('13', plain,
24.31/24.57	    app_encode_app(int, int, 
24.31/24.57	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	        app_encode_app(int, int, 
24.31/24.57	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	            aa(int, int), 
24.31/24.57	            app_encode_app(int, fun(int, int), 
24.31/24.57	              app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
24.31/24.57	                plus_plus(int)), i)), 
24.31/24.57	          app_encode_app(list(int), int, 
24.31/24.57	            app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	              iprod(int), ks), e))), d)
24.31/24.57	     != app_encode_app(int, int, 
24.31/24.57	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
24.31/24.57	            app_encode_app(int, int, 
24.31/24.57	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
24.31/24.57	                aa(int, int), 
24.31/24.57	                app_encode_app(int, fun(int, int), 
24.31/24.57	                  app_encode_app(fun(int, fun(int, int)), 
24.31/24.57	                    app_encode_fun(int, fun(int, int)), 
24.31/24.57	                    aa(int, fun(int, int)), plus_plus(int)), j)), 
24.31/24.57	              app_encode_app(list(int), int, 
24.31/24.57	                app_encode_app(list(int), app_encode_fun(list(int), int), 
24.31/24.57	                  iprod(int), ks), e))), d),
24.31/24.57	    inference('demod', [status(thm)], ['12', '6', '0'])).
24.31/24.57	tff('14', plain, $false,
24.31/24.57	    inference('simplify_reflect-', [status(thm)], ['11', '13'])).
24.31/24.57	
24.31/24.57	% SZS output end Refutation
24.31/24.57	EOF
