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
0.00/0.19	% Computer   : n044.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 08:35:23 CST 2018
26.92/27.15	% done 1830 iterations in 26.950s
26.92/27.15	% SZS status Theorem for 'stdin'
26.92/27.15	% SZS output start Refutation
26.92/27.15	tff(zf_stmt_56, axiom,
26.92/27.15	  (app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
26.92/27.15	                                 app_encode_app(int,int,
26.92/27.15	                                                app_encode_app(fun(int,int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               aa(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               fun(int,
26.92/27.15	                                                                   fun(
26.92/27.15	                                                                   int,int)),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int)),
26.92/27.15	                                                               aa(int,
26.92/27.15	                                                                  fun(
26.92/27.15	                                                                  int,int)),
26.92/27.15	                                                               plus_plus(int)),
26.92/27.15	                                                               i)),
26.92/27.15	                                                app_encode_app(list(int),int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               list(int),int),
26.92/27.15	                                                               iprod(int),ks),
26.92/27.15	                                                               e))),
26.92/27.15	                  d) =
26.92/27.15	   app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
26.92/27.15	                                 app_encode_app(int,int,
26.92/27.15	                                                app_encode_app(fun(int,int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               aa(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               fun(int,
26.92/27.15	                                                                   fun(
26.92/27.15	                                                                   int,int)),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int)),
26.92/27.15	                                                               aa(int,
26.92/27.15	                                                                  fun(
26.92/27.15	                                                                  int,int)),
26.92/27.15	                                                               plus_plus(int)),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               div_mod(int),i),
26.92/27.15	                                                               d))),
26.92/27.15	                                                app_encode_app(int,int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               div_mod(int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               list(int),int),
26.92/27.15	                                                               iprod(int),ks),
26.92/27.15	                                                               e)),d))),
26.92/27.15	                  d))).
26.92/27.15	tff('0', plain,
26.92/27.15	    app_encode_app(int, int, 
26.92/27.15	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	        app_encode_app(int, int, 
26.92/27.15	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	            aa(int, int), 
26.92/27.15	            app_encode_app(int, fun(int, int), 
26.92/27.15	              app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                plus_plus(int)), i)), 
26.92/27.15	          app_encode_app(list(int), int, 
26.92/27.15	            app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	              iprod(int), ks), e))), d)
26.92/27.15	     = app_encode_app(int, int, 
26.92/27.15	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	           app_encode_app(int, int, 
26.92/27.15	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	               aa(int, int), 
26.92/27.15	               app_encode_app(int, fun(int, int), 
26.92/27.15	                 app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                   app_encode_fun(int, fun(int, int)), 
26.92/27.15	                   aa(int, fun(int, int)), plus_plus(int)), 
26.92/27.15	                 app_encode_app(int, int, 
26.92/27.15	                   app_encode_app(int, app_encode_fun(int, int), 
26.92/27.15	                     div_mod(int), i), d))), 
26.92/27.15	             app_encode_app(int, int, 
26.92/27.15	               app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	                 app_encode_app(list(int), int, 
26.92/27.15	                   app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                     iprod(int), ks), e)), d))), d),
26.92/27.15	    inference('cnf', [status(esa)], [zf_stmt_56])).
26.92/27.15	tff(zf_stmt_66, axiom,
26.92/27.15	  (![A:$tType]:
26.92/27.15	     (semiring_div(A) =>
26.92/27.15	      (![C:A,B1:A,A1:A]:
26.92/27.15	         (app_encode_app(A,A,
26.92/27.15	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
26.92/27.15	                                        app_encode_app(A,A,
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,A),
26.92/27.15	                                                       app_encode_fun(A,A),
26.92/27.15	                                                       aa(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,fun(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,fun(A,A)),
26.92/27.15	                                                       app_encode_fun(
26.92/27.15	                                                       A,fun(A,A)),
26.92/27.15	                                                       aa(A,fun(A,A)),
26.92/27.15	                                                       plus_plus(A)),A1)),B1)),
26.92/27.15	                         C) =
26.92/27.15	          app_encode_app(A,A,
26.92/27.15	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
26.92/27.15	                                        app_encode_app(A,A,
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,A),
26.92/27.15	                                                       app_encode_fun(A,A),
26.92/27.15	                                                       aa(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,fun(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,fun(A,A)),
26.92/27.15	                                                       app_encode_fun(
26.92/27.15	                                                       A,fun(A,A)),
26.92/27.15	                                                       aa(A,fun(A,A)),
26.92/27.15	                                                       plus_plus(A)),A1)),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,A,
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,app_encode_fun(A,A),
26.92/27.15	                                                       div_mod(A),B1),C))),
26.92/27.15	                         C)))))).
26.92/27.15	tff('1', plain,
26.92/27.15	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
26.92/27.15	      (app_encode_app(X27, X27, 
26.92/27.15	         app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
26.92/27.15	           app_encode_app(X27, X27, 
26.92/27.15	             app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
26.92/27.15	               aa(X27, X27), 
26.92/27.15	               app_encode_app(X27, fun(X27, X27), 
26.92/27.15	                 app_encode_app(fun(X27, fun(X27, X27)), 
26.92/27.15	                   app_encode_fun(X27, fun(X27, X27)), 
26.92/27.15	                   aa(X27, fun(X27, X27)), plus_plus(X27)), X28)), X29)), 
26.92/27.15	         X30)
26.92/27.15	        = app_encode_app(X27, X27, 
26.92/27.15	            app_encode_app(X27, app_encode_fun(X27, X27), div_mod(X27), 
26.92/27.15	              app_encode_app(X27, X27, 
26.92/27.15	                app_encode_app(fun(X27, X27), app_encode_fun(X27, X27), 
26.92/27.15	                  aa(X27, X27), 
26.92/27.15	                  app_encode_app(X27, fun(X27, X27), 
26.92/27.15	                    app_encode_app(fun(X27, fun(X27, X27)), 
26.92/27.15	                      app_encode_fun(X27, fun(X27, X27)), 
26.92/27.15	                      aa(X27, fun(X27, X27)), plus_plus(X27)), X28)), 
26.92/27.15	                app_encode_app(X27, X27, 
26.92/27.15	                  app_encode_app(X27, app_encode_fun(X27, X27), 
26.92/27.15	                    div_mod(X27), X29), X30))), X30)
26.92/27.15	       | ~ semiring_div(X27)),
26.92/27.15	    inference('cnf', [status(esa)], [zf_stmt_66])).
26.92/27.15	tff('2', plain,
26.92/27.15	    (app_encode_app(int, int, 
26.92/27.15	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	         app_encode_app(int, int, 
26.92/27.15	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	             aa(int, int), 
26.92/27.15	             app_encode_app(int, fun(int, int), 
26.92/27.15	               app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                 plus_plus(int)), 
26.92/27.15	               app_encode_app(int, int, 
26.92/27.15	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	                   i), d))), 
26.92/27.15	           app_encode_app(list(int), int, 
26.92/27.15	             app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	               iprod(int), ks), e))), d)
26.92/27.15	      = app_encode_app(int, int, 
26.92/27.15	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	            app_encode_app(int, int, 
26.92/27.15	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                aa(int, int), 
26.92/27.15	                app_encode_app(int, fun(int, int), 
26.92/27.15	                  app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                    app_encode_fun(int, fun(int, int)), 
26.92/27.15	                    aa(int, fun(int, int)), plus_plus(int)), i)), 
26.92/27.15	              app_encode_app(list(int), int, 
26.92/27.15	                app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                  iprod(int), ks), e))), d)
26.92/27.15	     | ~ semiring_div(int)),
26.92/27.15	    inference('sup+', [status(thm)], ['0', '1'])).
26.92/27.15	tff(zf_stmt_162, axiom, (semiring_div(int))).
26.92/27.15	tff('3', plain, semiring_div(int),
26.92/27.15	    inference('cnf', [status(esa)], [zf_stmt_162])).
26.92/27.15	tff('4', plain,
26.92/27.15	    (app_encode_app(int, int, 
26.92/27.15	       app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	         app_encode_app(int, int, 
26.92/27.15	           app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	             aa(int, int), 
26.92/27.15	             app_encode_app(int, fun(int, int), 
26.92/27.15	               app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                 app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                 plus_plus(int)), 
26.92/27.15	               app_encode_app(int, int, 
26.92/27.15	                 app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	                   i), d))), 
26.92/27.15	           app_encode_app(list(int), int, 
26.92/27.15	             app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	               iprod(int), ks), e))), d)
26.92/27.15	      = app_encode_app(int, int, 
26.92/27.15	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	            app_encode_app(int, int, 
26.92/27.15	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                aa(int, int), 
26.92/27.15	                app_encode_app(int, fun(int, int), 
26.92/27.15	                  app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                    app_encode_fun(int, fun(int, int)), 
26.92/27.15	                    aa(int, fun(int, int)), plus_plus(int)), i)), 
26.92/27.15	              app_encode_app(list(int), int, 
26.92/27.15	                app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                  iprod(int), ks), e))), d)
26.92/27.15	     | ~ $true),
26.92/27.15	    inference('demod', [status(thm)], ['2', '3'])).
26.92/27.15	tff('5', plain,
26.92/27.15	    app_encode_app(int, int, 
26.92/27.15	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	        app_encode_app(int, int, 
26.92/27.15	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	            aa(int, int), 
26.92/27.15	            app_encode_app(int, fun(int, int), 
26.92/27.15	              app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                plus_plus(int)), 
26.92/27.15	              app_encode_app(int, int, 
26.92/27.15	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	                  i), d))), 
26.92/27.15	          app_encode_app(list(int), int, 
26.92/27.15	            app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	              iprod(int), ks), e))), d)
26.92/27.15	     = app_encode_app(int, int, 
26.92/27.15	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	           app_encode_app(int, int, 
26.92/27.15	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	               aa(int, int), 
26.92/27.15	               app_encode_app(int, fun(int, int), 
26.92/27.15	                 app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                   app_encode_fun(int, fun(int, int)), 
26.92/27.15	                   aa(int, fun(int, int)), plus_plus(int)), i)), 
26.92/27.15	             app_encode_app(list(int), int, 
26.92/27.15	               app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                 iprod(int), ks), e))), d),
26.92/27.15	    inference('simplify', [status(thm)], ['4'])).
26.92/27.15	tff(zf_stmt_57, axiom,
26.92/27.15	  (app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),i),
26.92/27.15	                  d) =
26.92/27.15	   app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),j),
26.92/27.15	                  d))).
26.92/27.15	tff('6', plain,
26.92/27.15	    app_encode_app(int, int, 
26.92/27.15	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), i), d)
26.92/27.15	     = app_encode_app(int, int, 
26.92/27.15	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), j), d),
26.92/27.15	    inference('cnf', [status(esa)], [zf_stmt_57])).
26.92/27.15	tff(zf_stmt_67, axiom,
26.92/27.15	  (![A:$tType]:
26.92/27.15	     (semiring_div(A) =>
26.92/27.15	      (![C:A,B1:A,A1:A]:
26.92/27.15	         (app_encode_app(A,A,
26.92/27.15	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
26.92/27.15	                                        app_encode_app(A,A,
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,A),
26.92/27.15	                                                       app_encode_fun(A,A),
26.92/27.15	                                                       aa(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,fun(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,fun(A,A)),
26.92/27.15	                                                       app_encode_fun(
26.92/27.15	                                                       A,fun(A,A)),
26.92/27.15	                                                       aa(A,fun(A,A)),
26.92/27.15	                                                       plus_plus(A)),A1)),B1)),
26.92/27.15	                         C) =
26.92/27.15	          app_encode_app(A,A,
26.92/27.15	                         app_encode_app(A,app_encode_fun(A,A),div_mod(A),
26.92/27.15	                                        app_encode_app(A,A,
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,A),
26.92/27.15	                                                       app_encode_fun(A,A),
26.92/27.15	                                                       aa(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,fun(A,A),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       fun(A,fun(A,A)),
26.92/27.15	                                                       app_encode_fun(
26.92/27.15	                                                       A,fun(A,A)),
26.92/27.15	                                                       aa(A,fun(A,A)),
26.92/27.15	                                                       plus_plus(A)),
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,A,
26.92/27.15	                                                       app_encode_app(
26.92/27.15	                                                       A,app_encode_fun(A,A),
26.92/27.15	                                                       div_mod(A),A1),C))),B1)),
26.92/27.15	                         C)))))).
26.92/27.15	tff('7', plain,
26.92/27.15	    ![X31 : $tType, X32 : X31, X33 : X31, X34 : X31]:
26.92/27.15	      (app_encode_app(X31, X31, 
26.92/27.15	         app_encode_app(X31, app_encode_fun(X31, X31), div_mod(X31), 
26.92/27.15	           app_encode_app(X31, X31, 
26.92/27.15	             app_encode_app(fun(X31, X31), app_encode_fun(X31, X31), 
26.92/27.15	               aa(X31, X31), 
26.92/27.15	               app_encode_app(X31, fun(X31, X31), 
26.92/27.15	                 app_encode_app(fun(X31, fun(X31, X31)), 
26.92/27.15	                   app_encode_fun(X31, fun(X31, X31)), 
26.92/27.15	                   aa(X31, fun(X31, X31)), plus_plus(X31)), X32)), X34)), 
26.92/27.15	         X33)
26.92/27.15	        = app_encode_app(X31, X31, 
26.92/27.15	            app_encode_app(X31, app_encode_fun(X31, X31), div_mod(X31), 
26.92/27.15	              app_encode_app(X31, X31, 
26.92/27.15	                app_encode_app(fun(X31, X31), app_encode_fun(X31, X31), 
26.92/27.15	                  aa(X31, X31), 
26.92/27.15	                  app_encode_app(X31, fun(X31, X31), 
26.92/27.15	                    app_encode_app(fun(X31, fun(X31, X31)), 
26.92/27.15	                      app_encode_fun(X31, fun(X31, X31)), 
26.92/27.15	                      aa(X31, fun(X31, X31)), plus_plus(X31)), 
26.92/27.15	                    app_encode_app(X31, X31, 
26.92/27.15	                      app_encode_app(X31, app_encode_fun(X31, X31), 
26.92/27.15	                        div_mod(X31), X32), X33))), X34)), X33)
26.92/27.15	       | ~ semiring_div(X31)),
26.92/27.15	    inference('cnf', [status(esa)], [zf_stmt_67])).
26.92/27.15	tff('8', plain,
26.92/27.15	    ![X0 : int]:
26.92/27.15	      (app_encode_app(int, int, 
26.92/27.15	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	           app_encode_app(int, int, 
26.92/27.15	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	               aa(int, int), 
26.92/27.15	               app_encode_app(int, fun(int, int), 
26.92/27.15	                 app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                   app_encode_fun(int, fun(int, int)), 
26.92/27.15	                   aa(int, fun(int, int)), plus_plus(int)), j)), X0)), d)
26.92/27.15	        = app_encode_app(int, int, 
26.92/27.15	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	              app_encode_app(int, int, 
26.92/27.15	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                  aa(int, int), 
26.92/27.15	                  app_encode_app(int, fun(int, int), 
26.92/27.15	                    app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                      app_encode_fun(int, fun(int, int)), 
26.92/27.15	                      aa(int, fun(int, int)), plus_plus(int)), 
26.92/27.15	                    app_encode_app(int, int, 
26.92/27.15	                      app_encode_app(int, app_encode_fun(int, int), 
26.92/27.15	                        div_mod(int), i), d))), X0)), d)
26.92/27.15	       | ~ semiring_div(int)),
26.92/27.15	    inference('sup+', [status(thm)], ['6', '7'])).
26.92/27.15	tff('9', plain,
26.92/27.15	    ![X0 : int]:
26.92/27.15	      (app_encode_app(int, int, 
26.92/27.15	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	           app_encode_app(int, int, 
26.92/27.15	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	               aa(int, int), 
26.92/27.15	               app_encode_app(int, fun(int, int), 
26.92/27.15	                 app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                   app_encode_fun(int, fun(int, int)), 
26.92/27.15	                   aa(int, fun(int, int)), plus_plus(int)), j)), X0)), d)
26.92/27.15	        = app_encode_app(int, int, 
26.92/27.15	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	              app_encode_app(int, int, 
26.92/27.15	                app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                  aa(int, int), 
26.92/27.15	                  app_encode_app(int, fun(int, int), 
26.92/27.15	                    app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                      app_encode_fun(int, fun(int, int)), 
26.92/27.15	                      aa(int, fun(int, int)), plus_plus(int)), 
26.92/27.15	                    app_encode_app(int, int, 
26.92/27.15	                      app_encode_app(int, app_encode_fun(int, int), 
26.92/27.15	                        div_mod(int), i), d))), X0)), d)
26.92/27.15	       | ~ $true),
26.92/27.15	    inference('demod', [status(thm)], ['8', '3'])).
26.92/27.15	tff('10', plain,
26.92/27.15	    ![X0 : int]:
26.92/27.15	      app_encode_app(int, int, 
26.92/27.15	        app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	          app_encode_app(int, int, 
26.92/27.15	            app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	              aa(int, int), 
26.92/27.15	              app_encode_app(int, fun(int, int), 
26.92/27.15	                app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                  app_encode_fun(int, fun(int, int)), 
26.92/27.15	                  aa(int, fun(int, int)), plus_plus(int)), j)), X0)), d)
26.92/27.15	       = app_encode_app(int, int, 
26.92/27.15	           app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	             app_encode_app(int, int, 
26.92/27.15	               app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                 aa(int, int), 
26.92/27.15	                 app_encode_app(int, fun(int, int), 
26.92/27.15	                   app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                     app_encode_fun(int, fun(int, int)), 
26.92/27.15	                     aa(int, fun(int, int)), plus_plus(int)), 
26.92/27.15	                   app_encode_app(int, int, 
26.92/27.15	                     app_encode_app(int, app_encode_fun(int, int), 
26.92/27.15	                       div_mod(int), i), d))), X0)), d),
26.92/27.15	    inference('simplify', [status(thm)], ['9'])).
26.92/27.15	tff('11', plain,
26.92/27.15	    app_encode_app(int, int, 
26.92/27.15	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	        app_encode_app(int, int, 
26.92/27.15	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	            aa(int, int), 
26.92/27.15	            app_encode_app(int, fun(int, int), 
26.92/27.15	              app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                plus_plus(int)), j)), 
26.92/27.15	          app_encode_app(list(int), int, 
26.92/27.15	            app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	              iprod(int), ks), e))), d)
26.92/27.15	     = app_encode_app(int, int, 
26.92/27.15	         app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	           app_encode_app(int, int, 
26.92/27.15	             app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	               aa(int, int), 
26.92/27.15	               app_encode_app(int, fun(int, int), 
26.92/27.15	                 app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                   app_encode_fun(int, fun(int, int)), 
26.92/27.15	                   aa(int, fun(int, int)), plus_plus(int)), i)), 
26.92/27.15	             app_encode_app(list(int), int, 
26.92/27.15	               app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                 iprod(int), ks), e))), d),
26.92/27.15	    inference('demod', [status(thm)], ['5', '10'])).
26.92/27.15	tff(zf_stmt_174, conjecture,
26.92/27.15	  (app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
26.92/27.15	                                 app_encode_app(int,int,
26.92/27.15	                                                app_encode_app(fun(int,int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               aa(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               fun(int,
26.92/27.15	                                                                   fun(
26.92/27.15	                                                                   int,int)),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int)),
26.92/27.15	                                                               aa(int,
26.92/27.15	                                                                  fun(
26.92/27.15	                                                                  int,int)),
26.92/27.15	                                                               plus_plus(int)),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               div_mod(int),j),
26.92/27.15	                                                               d))),
26.92/27.15	                                                app_encode_app(int,int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               div_mod(int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               list(int),int),
26.92/27.15	                                                               iprod(int),ks),
26.92/27.15	                                                               e)),d))),
26.92/27.15	                  d) =
26.92/27.15	   app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
26.92/27.15	                                 app_encode_app(int,int,
26.92/27.15	                                                app_encode_app(fun(int,int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               aa(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               fun(int,
26.92/27.15	                                                                   fun(
26.92/27.15	                                                                   int,int)),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int)),
26.92/27.15	                                                               aa(int,
26.92/27.15	                                                                  fun(
26.92/27.15	                                                                  int,int)),
26.92/27.15	                                                               plus_plus(int)),
26.92/27.15	                                                               j)),
26.92/27.15	                                                app_encode_app(list(int),int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               list(int),int),
26.92/27.15	                                                               iprod(int),ks),
26.92/27.15	                                                               e))),
26.92/27.15	                  d))).
26.92/27.15	tff(zf_stmt_0, negated_conjecture,
26.92/27.15	  (app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
26.92/27.15	                                 app_encode_app(int,int,
26.92/27.15	                                                app_encode_app(fun(int,int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               aa(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               fun(int,
26.92/27.15	                                                                   fun(
26.92/27.15	                                                                   int,int)),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int)),
26.92/27.15	                                                               aa(int,
26.92/27.15	                                                                  fun(
26.92/27.15	                                                                  int,int)),
26.92/27.15	                                                               plus_plus(int)),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               div_mod(int),j),
26.92/27.15	                                                               d))),
26.92/27.15	                                                app_encode_app(int,int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               div_mod(int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               list(int),int),
26.92/27.15	                                                               iprod(int),ks),
26.92/27.15	                                                               e)),d))),
26.92/27.15	                  d) !=
26.92/27.15	   app_encode_app(int,int,
26.92/27.15	                  app_encode_app(int,app_encode_fun(int,int),div_mod(int),
26.92/27.15	                                 app_encode_app(int,int,
26.92/27.15	                                                app_encode_app(fun(int,int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,int),
26.92/27.15	                                                               aa(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int),
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               fun(int,
26.92/27.15	                                                                   fun(
26.92/27.15	                                                                   int,int)),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               int,
26.92/27.15	                                                               fun(int,int)),
26.92/27.15	                                                               aa(int,
26.92/27.15	                                                                  fun(
26.92/27.15	                                                                  int,int)),
26.92/27.15	                                                               plus_plus(int)),
26.92/27.15	                                                               j)),
26.92/27.15	                                                app_encode_app(list(int),int,
26.92/27.15	                                                               app_encode_app(
26.92/27.15	                                                               list(int),
26.92/27.15	                                                               app_encode_fun(
26.92/27.15	                                                               list(int),int),
26.92/27.15	                                                               iprod(int),ks),
26.92/27.15	                                                               e))),
26.92/27.15	                  d))).
26.92/27.15	tff('12', plain,
26.92/27.15	    app_encode_app(int, int, 
26.92/27.15	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	        app_encode_app(int, int, 
26.92/27.15	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	            aa(int, int), 
26.92/27.15	            app_encode_app(int, fun(int, int), 
26.92/27.15	              app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                plus_plus(int)), 
26.92/27.15	              app_encode_app(int, int, 
26.92/27.15	                app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	                  j), d))), 
26.92/27.15	          app_encode_app(int, int, 
26.92/27.15	            app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	              app_encode_app(list(int), int, 
26.92/27.15	                app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                  iprod(int), ks), e)), d))), d)
26.92/27.15	     != app_encode_app(int, int, 
26.92/27.15	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	            app_encode_app(int, int, 
26.92/27.15	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                aa(int, int), 
26.92/27.15	                app_encode_app(int, fun(int, int), 
26.92/27.15	                  app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                    app_encode_fun(int, fun(int, int)), 
26.92/27.15	                    aa(int, fun(int, int)), plus_plus(int)), j)), 
26.92/27.15	              app_encode_app(list(int), int, 
26.92/27.15	                app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                  iprod(int), ks), e))), d),
26.92/27.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.92/27.15	tff('13', plain,
26.92/27.15	    app_encode_app(int, int, 
26.92/27.15	      app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	        app_encode_app(int, int, 
26.92/27.15	          app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	            aa(int, int), 
26.92/27.15	            app_encode_app(int, fun(int, int), 
26.92/27.15	              app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                app_encode_fun(int, fun(int, int)), aa(int, fun(int, int)), 
26.92/27.15	                plus_plus(int)), i)), 
26.92/27.15	          app_encode_app(list(int), int, 
26.92/27.15	            app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	              iprod(int), ks), e))), d)
26.92/27.15	     != app_encode_app(int, int, 
26.92/27.15	          app_encode_app(int, app_encode_fun(int, int), div_mod(int), 
26.92/27.15	            app_encode_app(int, int, 
26.92/27.15	              app_encode_app(fun(int, int), app_encode_fun(int, int), 
26.92/27.15	                aa(int, int), 
26.92/27.15	                app_encode_app(int, fun(int, int), 
26.92/27.15	                  app_encode_app(fun(int, fun(int, int)), 
26.92/27.15	                    app_encode_fun(int, fun(int, int)), 
26.92/27.15	                    aa(int, fun(int, int)), plus_plus(int)), j)), 
26.92/27.15	              app_encode_app(list(int), int, 
26.92/27.15	                app_encode_app(list(int), app_encode_fun(list(int), int), 
26.92/27.15	                  iprod(int), ks), e))), d),
26.92/27.15	    inference('demod', [status(thm)], ['12', '6', '0'])).
26.92/27.15	tff('14', plain, $false,
26.92/27.15	    inference('simplify_reflect-', [status(thm)], ['11', '13'])).
26.92/27.15	
26.92/27.15	% SZS output end Refutation
26.92/27.16	EOF
