0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n042.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:50:39 CST 2018
0.81/1.02	% done 832 iterations in 0.813s
0.81/1.02	% SZS status Theorem for 'stdin'
0.81/1.02	% SZS output start Refutation
0.81/1.02	tff(zf_stmt_33, axiom,
0.81/1.02	  (app_encode_app(int,$o,
0.81/1.02	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.81/1.02	                                 app_encode_app(int,int,
0.81/1.02	                                                app_encode_app(int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               int,int),
0.81/1.02	                                                               plus_plus(int),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               int,int),
0.81/1.02	                                                               times_times(
0.81/1.02	                                                               int),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,
0.81/1.02	                                                               number_number_of(
0.81/1.02	                                                               int),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit1,
0.81/1.02	                                                               pls))))),m)),
0.81/1.02	                                                one_one(int))),
0.81/1.02	                  app_encode_app(int,int,
0.81/1.02	                                 app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                                minus_minus(int),
0.81/1.02	                                                app_encode_app(nat,int,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               nat,int),
0.81/1.02	                                                               power_power(
0.81/1.02	                                                               int),s),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,nat,
0.81/1.02	                                                               number_number_of(
0.81/1.02	                                                               nat),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit1,
0.81/1.02	                                                               pls))))),
0.81/1.02	                                 app_encode_app(int,int,
0.81/1.02	                                                number_number_of(int),min))))).
0.81/1.02	tff('0', plain,
0.81/1.02	    app_encode_app(int, $o, 
0.81/1.02	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.81/1.02	        app_encode_app(int, int, 
0.81/1.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	            app_encode_app(int, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                times_times(int), 
0.81/1.02	                app_encode_app(int, int, number_number_of(int), 
0.81/1.02	                  app_encode_app(int, int, bit0, 
0.81/1.02	                    app_encode_app(int, int, bit0, 
0.81/1.02	                      app_encode_app(int, int, bit1, pls))))), m)), 
0.81/1.02	          one_one(int))), 
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
0.81/1.02	          app_encode_app(nat, int, 
0.81/1.02	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.81/1.02	              s), 
0.81/1.02	            app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	              app_encode_app(int, int, bit0, 
0.81/1.02	                app_encode_app(int, int, bit1, pls))))), 
0.81/1.02	        app_encode_app(int, int, number_number_of(int), min))),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_33])).
0.81/1.02	tff(zf_stmt_32, axiom,
0.81/1.02	  (app_encode_app(int,int,
0.81/1.02	                  app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                 minus_minus(int),
0.81/1.02	                                 app_encode_app(nat,int,
0.81/1.02	                                                app_encode_app(int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               nat,int),
0.81/1.02	                                                               power_power(
0.81/1.02	                                                               int),s),
0.81/1.02	                                                app_encode_app(int,nat,
0.81/1.02	                                                               number_number_of(
0.81/1.02	                                                               nat),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit1,
0.81/1.02	                                                               pls))))),
0.81/1.02	                  app_encode_app(int,int,number_number_of(int),min)) =
0.81/1.02	   app_encode_app(int,int,
0.81/1.02	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
0.81/1.02	                                 app_encode_app(nat,int,
0.81/1.02	                                                app_encode_app(int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               nat,int),
0.81/1.02	                                                               power_power(
0.81/1.02	                                                               int),s),
0.81/1.02	                                                app_encode_app(int,nat,
0.81/1.02	                                                               number_number_of(
0.81/1.02	                                                               nat),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit1,
0.81/1.02	                                                               pls))))),
0.81/1.02	                  one_one(int)))).
0.81/1.02	tff('1', plain,
0.81/1.02	    app_encode_app(int, int, 
0.81/1.02	      app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
0.81/1.02	        app_encode_app(nat, int, 
0.81/1.02	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
0.81/1.02	          app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	            app_encode_app(int, int, bit0, 
0.81/1.02	              app_encode_app(int, int, bit1, pls))))), 
0.81/1.02	      app_encode_app(int, int, number_number_of(int), min))
0.81/1.02	     = app_encode_app(int, int, 
0.81/1.02	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	           app_encode_app(nat, int, 
0.81/1.02	             app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.81/1.02	               s), 
0.81/1.02	             app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	               app_encode_app(int, int, bit0, 
0.81/1.02	                 app_encode_app(int, int, bit1, pls))))), one_one(int)),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_32])).
0.81/1.02	tff('2', plain,
0.81/1.02	    app_encode_app(int, $o, 
0.81/1.02	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.81/1.02	        app_encode_app(int, int, 
0.81/1.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	            app_encode_app(int, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                times_times(int), 
0.81/1.02	                app_encode_app(int, int, number_number_of(int), 
0.81/1.02	                  app_encode_app(int, int, bit0, 
0.81/1.02	                    app_encode_app(int, int, bit0, 
0.81/1.02	                      app_encode_app(int, int, bit1, pls))))), m)), 
0.81/1.02	          one_one(int))), 
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	          app_encode_app(nat, int, 
0.81/1.02	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.81/1.02	              s), 
0.81/1.02	            app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	              app_encode_app(int, int, bit0, 
0.81/1.02	                app_encode_app(int, int, bit1, pls))))), one_one(int))),
0.81/1.02	    inference('demod', [status(thm)], ['0', '1'])).
0.81/1.02	tff(zf_stmt_101, axiom,
0.81/1.02	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
0.81/1.02	tff('3', plain,
0.81/1.02	    ![X126 : int]:
0.81/1.02	      app_encode_app(int, int, number_number_of(int), X126) = X126,
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_101])).
0.81/1.02	tff('4', plain,
0.81/1.02	    app_encode_app(int, $o, 
0.81/1.02	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.81/1.02	        app_encode_app(int, int, 
0.81/1.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	            app_encode_app(int, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                times_times(int), 
0.81/1.02	                app_encode_app(int, int, bit0, 
0.81/1.02	                  app_encode_app(int, int, bit0, 
0.81/1.02	                    app_encode_app(int, int, bit1, pls)))), m)), 
0.81/1.02	          one_one(int))), 
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	          app_encode_app(nat, int, 
0.81/1.02	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.81/1.02	              s), 
0.81/1.02	            app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	              app_encode_app(int, int, bit0, 
0.81/1.02	                app_encode_app(int, int, bit1, pls))))), one_one(int))),
0.81/1.02	    inference('demod', [status(thm)], ['2', '3'])).
0.81/1.02	tff(zf_stmt_58, axiom,
0.81/1.02	  (![L:int,K1:int]:
0.81/1.02	     (app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    times_times(int),
0.81/1.02	                                    app_encode_app(int,int,bit0,K1)),
0.81/1.02	                     L) =
0.81/1.02	      app_encode_app(int,int,bit0,
0.81/1.02	                     app_encode_app(int,int,
0.81/1.02	                                    app_encode_app(int,
0.81/1.02	                                                   app_encode_fun(int,int),
0.81/1.02	                                                   times_times(int),K1),
0.81/1.02	                                    L))))).
0.81/1.02	tff('5', plain,
0.81/1.02	    ![X39 : int, X40 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	          app_encode_app(int, int, bit0, X39)), X40)
0.81/1.02	       = app_encode_app(int, int, bit0, 
0.81/1.02	           app_encode_app(int, int, 
0.81/1.02	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	               X39), X40)),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_58])).
0.81/1.02	tff(zf_stmt_57, axiom,
0.81/1.02	  (![W:int]:
0.81/1.02	     (app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    times_times(int),pls),
0.81/1.02	                     W) =
0.81/1.02	      pls))).
0.81/1.02	tff('6', plain,
0.81/1.02	    ![X38 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
0.81/1.02	        X38)
0.81/1.02	       = pls,
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_57])).
0.81/1.02	tff(zf_stmt_41, axiom,
0.81/1.02	  (![L:int,K1:int]:
0.81/1.02	     (app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    times_times(int),
0.81/1.02	                                    app_encode_app(int,int,bit1,K1)),
0.81/1.02	                     L) =
0.81/1.02	      app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    plus_plus(int),
0.81/1.02	                                    app_encode_app(int,int,bit0,
0.81/1.02	                                                   app_encode_app(int,int,
0.81/1.02	                                                                  app_encode_app(
0.81/1.02	                                                                  int,
0.81/1.02	                                                                  app_encode_fun(
0.81/1.02	                                                                  int,int),
0.81/1.02	                                                                  times_times(
0.81/1.02	                                                                  int),K1),L))),
0.81/1.02	                     L)))).
0.81/1.02	tff('7', plain,
0.81/1.02	    ![X8 : int, X9 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	          app_encode_app(int, int, bit1, X8)), X9)
0.81/1.02	       = app_encode_app(int, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	             app_encode_app(int, int, bit0, 
0.81/1.02	               app_encode_app(int, int, 
0.81/1.02	                 app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                   times_times(int), X8), X9))), X9),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_41])).
0.81/1.02	tff('8', plain,
0.81/1.02	    ![X0 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	          app_encode_app(int, int, bit1, pls)), X0)
0.81/1.02	       = app_encode_app(int, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	             app_encode_app(int, int, bit0, pls)), X0),
0.81/1.02	    inference('sup+', [status(thm)], ['6', '7'])).
0.81/1.02	tff(zf_stmt_56, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
0.81/1.02	tff('9', plain, app_encode_app(int, int, bit0, pls) = pls,
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_56])).
0.81/1.02	tff('10', plain,
0.81/1.02	    ![X0 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	          app_encode_app(int, int, bit1, pls)), X0)
0.81/1.02	       = app_encode_app(int, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
0.81/1.02	           X0),
0.81/1.02	    inference('demod', [status(thm)], ['8', '9'])).
0.81/1.02	tff(zf_stmt_110, axiom,
0.81/1.02	  (![K1:int]:
0.81/1.02	     (app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    plus_plus(int),pls),
0.81/1.02	                     K1) =
0.81/1.02	      K1))).
0.81/1.02	tff('11', plain,
0.81/1.02	    ![X143 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
0.81/1.02	        X143)
0.81/1.02	       = X143,
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_110])).
0.81/1.02	tff('12', plain,
0.81/1.02	    ![X0 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	          app_encode_app(int, int, bit1, pls)), X0)
0.81/1.02	       = X0,
0.81/1.02	    inference('sup+', [status(thm)], ['10', '11'])).
0.81/1.02	tff(zf_stmt_109, axiom,
0.81/1.02	  (![K1:int]:
0.81/1.02	     (app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    plus_plus(int),K1),
0.81/1.02	                     pls) =
0.81/1.02	      K1))).
0.81/1.02	tff('13', plain,
0.81/1.02	    ![X142 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X142), 
0.81/1.02	        pls)
0.81/1.02	       = X142,
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_109])).
0.81/1.02	tff(zf_stmt_120, axiom,
0.81/1.02	  (![K1:int]:
0.81/1.02	     (app_encode_app(int,int,bit1,K1) =
0.81/1.02	      app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    plus_plus(int),
0.81/1.02	                                    app_encode_app(int,int,
0.81/1.02	                                                   app_encode_app(int,
0.81/1.02	                                                                  app_encode_fun(
0.81/1.02	                                                                  int,int),
0.81/1.02	                                                                  plus_plus(
0.81/1.02	                                                                  int),
0.81/1.02	                                                                  one_one(
0.81/1.02	                                                                  int)),
0.81/1.02	                                                   K1)),
0.81/1.02	                     K1)))).
0.81/1.02	tff('14', plain,
0.81/1.02	    ![X165 : int]:
0.81/1.02	      app_encode_app(int, int, bit1, X165)
0.81/1.02	       = app_encode_app(int, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	             app_encode_app(int, int, 
0.81/1.02	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	                 one_one(int)), X165)), X165),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_120])).
0.81/1.02	tff('15', plain,
0.81/1.02	    app_encode_app(int, int, bit1, pls)
0.81/1.02	     = app_encode_app(int, int, 
0.81/1.02	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	           one_one(int)), pls),
0.81/1.02	    inference('sup+', [status(thm)], ['13', '14'])).
0.81/1.02	tff('16', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
0.81/1.02	    inference('demod', [status(thm)], ['15', '13'])).
0.81/1.02	tff(zf_stmt_78, axiom,
0.81/1.02	  (![L:int,K1:int]:
0.81/1.02	     (app_encode_app(int,int,
0.81/1.02	                     app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                    plus_plus(int),
0.81/1.02	                                    app_encode_app(int,int,bit0,K1)),
0.81/1.02	                     app_encode_app(int,int,bit1,L)) =
0.81/1.02	      app_encode_app(int,int,bit1,
0.81/1.02	                     app_encode_app(int,int,
0.81/1.02	                                    app_encode_app(int,
0.81/1.02	                                                   app_encode_fun(int,int),
0.81/1.02	                                                   plus_plus(int),K1),
0.81/1.02	                                    L))))).
0.81/1.02	tff('17', plain,
0.81/1.02	    ![X83 : int, X84 : int]:
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	          app_encode_app(int, int, bit0, X83)), 
0.81/1.02	        app_encode_app(int, int, bit1, X84))
0.81/1.02	       = app_encode_app(int, int, bit1, 
0.81/1.02	           app_encode_app(int, int, 
0.81/1.02	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	               X83), X84)),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_78])).
0.81/1.02	tff(zf_stmt_130, axiom, (monoid_mult(int))).
0.81/1.02	tff('18', plain, monoid_mult(int),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_130])).
0.81/1.02	tff(zf_stmt_36, axiom,
0.81/1.02	  (![B1:$tType]:
0.81/1.02	     ((monoid_mult(B1) & number(B1)) =>
0.81/1.02	      (![W:int]:
0.81/1.02	         (app_encode_app(nat,B1,
0.81/1.02	                         app_encode_app(B1,app_encode_fun(nat,B1),
0.81/1.02	                                        power_power(B1),
0.81/1.02	                                        app_encode_app(int,B1,
0.81/1.02	                                                       number_number_of(B1),W)),
0.81/1.02	                         app_encode_app(int,nat,number_number_of(nat),
0.81/1.02	                                        app_encode_app(int,int,bit0,
0.81/1.02	                                                       app_encode_app(
0.81/1.02	                                                       int,int,bit1,pls)))) =
0.81/1.02	          app_encode_app(B1,B1,
0.81/1.02	                         app_encode_app(B1,app_encode_fun(B1,B1),
0.81/1.02	                                        times_times(B1),
0.81/1.02	                                        app_encode_app(int,B1,
0.81/1.02	                                                       number_number_of(B1),W)),
0.81/1.02	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
0.81/1.02	tff('19', plain,
0.81/1.02	    ![X0 : $tType, X1 : int]:
0.81/1.02	      (app_encode_app(nat, X0, 
0.81/1.02	         app_encode_app(X0, app_encode_fun(nat, X0), power_power(X0), 
0.81/1.02	           app_encode_app(int, X0, number_number_of(X0), X1)), 
0.81/1.02	         app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	           app_encode_app(int, int, bit0, 
0.81/1.02	             app_encode_app(int, int, bit1, pls))))
0.81/1.02	        = app_encode_app(X0, X0, 
0.81/1.02	            app_encode_app(X0, app_encode_fun(X0, X0), times_times(X0), 
0.81/1.02	              app_encode_app(int, X0, number_number_of(X0), X1)), 
0.81/1.02	            app_encode_app(int, X0, number_number_of(X0), X1))
0.81/1.02	       | ~ number(X0)
0.81/1.02	       | ~ monoid_mult(X0)),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_36])).
0.81/1.02	tff('20', plain,
0.81/1.02	    ![X0 : int]:
0.81/1.02	      (~ $true
0.81/1.02	       | ~ number(int)
0.81/1.02	       | app_encode_app(nat, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.81/1.02	             app_encode_app(int, int, number_number_of(int), X0)), 
0.81/1.02	           app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	             app_encode_app(int, int, bit0, 
0.81/1.02	               app_encode_app(int, int, bit1, pls))))
0.81/1.02	          = app_encode_app(int, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                times_times(int), 
0.81/1.02	                app_encode_app(int, int, number_number_of(int), X0)), 
0.81/1.02	              app_encode_app(int, int, number_number_of(int), X0))),
0.81/1.02	    inference('sup-', [status(thm)], ['18', '19'])).
0.81/1.02	tff(zf_stmt_136, axiom, (number(int))).
0.81/1.02	tff('21', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_136])).
0.81/1.02	tff('22', plain,
0.81/1.02	    ![X0 : int]:
0.81/1.02	      (~ $true
0.81/1.02	       | ~ $true
0.81/1.02	       | app_encode_app(nat, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.81/1.02	             X0), 
0.81/1.02	           app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	             app_encode_app(int, int, bit0, 
0.81/1.02	               app_encode_app(int, int, bit1, pls))))
0.81/1.02	          = app_encode_app(int, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                times_times(int), X0), X0)),
0.81/1.02	    inference('demod', [status(thm)], ['20', '21', '3', '3', '3'])).
0.81/1.02	tff('23', plain,
0.81/1.02	    ![X0 : int]:
0.81/1.02	      app_encode_app(nat, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
0.81/1.02	        app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
0.81/1.02	       = app_encode_app(int, int, 
0.81/1.02	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	             X0), X0),
0.81/1.02	    inference('simplify', [status(thm)], ['22'])).
0.81/1.02	tff('24', plain,
0.81/1.02	    app_encode_app(int, $o, 
0.81/1.02	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.81/1.02	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
0.81/1.02	      app_encode_app(int, int, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	          app_encode_app(int, int, 
0.81/1.02	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.81/1.02	              s), s)), app_encode_app(int, int, bit1, pls))),
0.81/1.02	    inference('demod', [status(thm)],
0.81/1.02	              ['4', '5', '5', '12', '16', '17', '13', '23', '16'])).
0.81/1.02	tff(zf_stmt_144, conjecture,
0.81/1.02	  (app_encode_app(int,$o,
0.81/1.02	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.81/1.02	                                 app_encode_app(int,int,
0.81/1.02	                                                app_encode_app(int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               int,int),
0.81/1.02	                                                               plus_plus(int),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               int,int),
0.81/1.02	                                                               times_times(
0.81/1.02	                                                               int),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,
0.81/1.02	                                                               number_number_of(
0.81/1.02	                                                               int),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit1,
0.81/1.02	                                                               pls))))),m)),
0.81/1.02	                                                one_one(int))),
0.81/1.02	                  app_encode_app(int,int,
0.81/1.02	                                 app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                                plus_plus(int),
0.81/1.02	                                                app_encode_app(nat,int,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,
0.81/1.02	                                                               app_encode_fun(
0.81/1.02	                                                               nat,int),
0.81/1.02	                                                               power_power(
0.81/1.02	                                                               int),s),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,nat,
0.81/1.02	                                                               number_number_of(
0.81/1.02	                                                               nat),
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit0,
0.81/1.02	                                                               app_encode_app(
0.81/1.02	                                                               int,int,bit1,
0.81/1.02	                                                               pls))))),
0.81/1.02	                                 one_one(int))))).
0.81/1.02	tff(zf_stmt_0, negated_conjecture,
0.81/1.02	  (~
0.81/1.02	    app_encode_app(int,$o,
0.81/1.02	                   app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.81/1.02	                                  app_encode_app(int,int,
0.81/1.02	                                                 app_encode_app(int,
0.81/1.02	                                                                app_encode_fun(
0.81/1.02	                                                                int,int),
0.81/1.02	                                                                plus_plus(
0.81/1.02	                                                                int),
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,
0.81/1.02	                                                                app_encode_fun(
0.81/1.02	                                                                int,int),
0.81/1.02	                                                                times_times(
0.81/1.02	                                                                int),
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,
0.81/1.02	                                                                number_number_of(
0.81/1.02	                                                                int),
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,bit0,
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,bit0,
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,bit1,
0.81/1.02	                                                                pls))))),m)),
0.81/1.02	                                                 one_one(int))),
0.81/1.02	                   app_encode_app(int,int,
0.81/1.02	                                  app_encode_app(int,app_encode_fun(int,int),
0.81/1.02	                                                 plus_plus(int),
0.81/1.02	                                                 app_encode_app(nat,int,
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,
0.81/1.02	                                                                app_encode_fun(
0.81/1.02	                                                                nat,int),
0.81/1.02	                                                                power_power(
0.81/1.02	                                                                int),s),
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,nat,
0.81/1.02	                                                                number_number_of(
0.81/1.02	                                                                nat),
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,bit0,
0.81/1.02	                                                                app_encode_app(
0.81/1.02	                                                                int,int,bit1,
0.81/1.02	                                                                pls))))),
0.81/1.02	                                  one_one(int))))).
0.81/1.02	tff('25', plain,
0.81/1.02	    ~ app_encode_app(int, $o, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.81/1.02	          app_encode_app(int, int, 
0.81/1.02	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	              app_encode_app(int, int, 
0.81/1.02	                app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                  times_times(int), 
0.81/1.02	                  app_encode_app(int, int, number_number_of(int), 
0.81/1.02	                    app_encode_app(int, int, bit0, 
0.81/1.02	                      app_encode_app(int, int, bit0, 
0.81/1.02	                        app_encode_app(int, int, bit1, pls))))), m)), 
0.81/1.02	            one_one(int))), 
0.81/1.02	        app_encode_app(int, int, 
0.81/1.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	            app_encode_app(nat, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(nat, int), 
0.81/1.02	                power_power(int), s), 
0.81/1.02	              app_encode_app(int, nat, number_number_of(nat), 
0.81/1.02	                app_encode_app(int, int, bit0, 
0.81/1.02	                  app_encode_app(int, int, bit1, pls))))), one_one(int))),
0.81/1.02	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.81/1.02	tff('26', plain,
0.81/1.02	    ~ app_encode_app(int, $o, 
0.81/1.02	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.81/1.02	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
0.81/1.02	        app_encode_app(int, int, 
0.81/1.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.81/1.02	            app_encode_app(int, int, 
0.81/1.02	              app_encode_app(int, app_encode_fun(int, int), 
0.81/1.02	                times_times(int), s), s)), 
0.81/1.02	          app_encode_app(int, int, bit1, pls))),
0.81/1.02	    inference('demod', [status(thm)],
0.81/1.02	              ['25', '3', '5', '5', '12', '16', '17', '13', '23', '16'])).
0.81/1.02	tff('27', plain, ~ $true, inference('sup-', [status(thm)], ['24', '26'])).
0.81/1.02	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.81/1.02	
0.81/1.02	% SZS output end Refutation
0.81/1.02	EOF
