0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n187.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:50:39 CST 2018
1.62/1.81	% done 834 iterations in 1.599s
1.62/1.81	% SZS status Theorem for 'stdin'
1.62/1.81	% SZS output start Refutation
1.62/1.81	tff(zf_stmt_33, axiom,
1.62/1.81	  (app_encode_app(int,$o,
1.62/1.81	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.62/1.81	                                 app_encode_app(int,int,
1.62/1.81	                                                app_encode_app(int,
1.62/1.81	                                                               app_encode_fun(
1.62/1.81	                                                               int,int),
1.62/1.81	                                                               plus_plus(int),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,
1.62/1.81	                                                               app_encode_fun(
1.62/1.81	                                                               int,int),
1.62/1.81	                                                               times_times(
1.62/1.81	                                                               int),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,
1.62/1.81	                                                               number_number_of(
1.62/1.81	                                                               int),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit0,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit0,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit1,
1.62/1.81	                                                               pls))))),m)),
1.62/1.81	                                                one_one(int))),
1.62/1.81	                  app_encode_app(int,int,
1.62/1.81	                                 app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                                minus_minus(int),
1.62/1.81	                                                app_encode_app(nat,int,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,
1.62/1.81	                                                               app_encode_fun(
1.62/1.81	                                                               nat,int),
1.62/1.81	                                                               power_power(
1.62/1.81	                                                               int),s),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,nat,
1.62/1.81	                                                               number_number_of(
1.62/1.81	                                                               nat),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit0,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit1,
1.62/1.81	                                                               pls))))),
1.62/1.81	                                 app_encode_app(int,int,
1.62/1.81	                                                number_number_of(int),min))))).
1.62/1.81	tff('0', plain,
1.62/1.81	    app_encode_app(int, $o, 
1.62/1.81	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.62/1.81	        app_encode_app(int, int, 
1.62/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	            app_encode_app(int, int, 
1.62/1.81	              app_encode_app(int, app_encode_fun(int, int), 
1.62/1.81	                times_times(int), 
1.62/1.81	                app_encode_app(int, int, number_number_of(int), 
1.62/1.81	                  app_encode_app(int, int, bit0, 
1.62/1.81	                    app_encode_app(int, int, bit0, 
1.62/1.81	                      app_encode_app(int, int, bit1, pls))))), m)), 
1.62/1.81	          one_one(int))), 
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
1.62/1.81	          app_encode_app(nat, int, 
1.62/1.81	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.62/1.81	              s), 
1.62/1.81	            app_encode_app(int, nat, number_number_of(nat), 
1.62/1.81	              app_encode_app(int, int, bit0, 
1.62/1.81	                app_encode_app(int, int, bit1, pls))))), 
1.62/1.81	        app_encode_app(int, int, number_number_of(int), min))),
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_33])).
1.62/1.81	tff(zf_stmt_32, axiom,
1.62/1.81	  (app_encode_app(int,int,
1.62/1.81	                  app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                 minus_minus(int),
1.62/1.81	                                 app_encode_app(nat,int,
1.62/1.81	                                                app_encode_app(int,
1.62/1.81	                                                               app_encode_fun(
1.62/1.81	                                                               nat,int),
1.62/1.81	                                                               power_power(
1.62/1.81	                                                               int),s),
1.62/1.81	                                                app_encode_app(int,nat,
1.62/1.81	                                                               number_number_of(
1.62/1.81	                                                               nat),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit0,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit1,
1.62/1.81	                                                               pls))))),
1.62/1.81	                  app_encode_app(int,int,number_number_of(int),min)) =
1.62/1.81	   app_encode_app(int,int,
1.62/1.81	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.62/1.81	                                 app_encode_app(nat,int,
1.62/1.81	                                                app_encode_app(int,
1.62/1.81	                                                               app_encode_fun(
1.62/1.81	                                                               nat,int),
1.62/1.81	                                                               power_power(
1.62/1.81	                                                               int),s),
1.62/1.81	                                                app_encode_app(int,nat,
1.62/1.81	                                                               number_number_of(
1.62/1.81	                                                               nat),
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit0,
1.62/1.81	                                                               app_encode_app(
1.62/1.81	                                                               int,int,bit1,
1.62/1.81	                                                               pls))))),
1.62/1.81	                  one_one(int)))).
1.62/1.81	tff('1', plain,
1.62/1.81	    app_encode_app(int, int, 
1.62/1.81	      app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
1.62/1.81	        app_encode_app(nat, int, 
1.62/1.81	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
1.62/1.81	          app_encode_app(int, nat, number_number_of(nat), 
1.62/1.81	            app_encode_app(int, int, bit0, 
1.62/1.81	              app_encode_app(int, int, bit1, pls))))), 
1.62/1.81	      app_encode_app(int, int, number_number_of(int), min))
1.62/1.81	     = app_encode_app(int, int, 
1.62/1.81	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	           app_encode_app(nat, int, 
1.62/1.81	             app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.62/1.81	               s), 
1.62/1.81	             app_encode_app(int, nat, number_number_of(nat), 
1.62/1.81	               app_encode_app(int, int, bit0, 
1.62/1.81	                 app_encode_app(int, int, bit1, pls))))), one_one(int)),
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_32])).
1.62/1.81	tff('2', plain,
1.62/1.81	    app_encode_app(int, $o, 
1.62/1.81	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.62/1.81	        app_encode_app(int, int, 
1.62/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	            app_encode_app(int, int, 
1.62/1.81	              app_encode_app(int, app_encode_fun(int, int), 
1.62/1.81	                times_times(int), 
1.62/1.81	                app_encode_app(int, int, number_number_of(int), 
1.62/1.81	                  app_encode_app(int, int, bit0, 
1.62/1.81	                    app_encode_app(int, int, bit0, 
1.62/1.81	                      app_encode_app(int, int, bit1, pls))))), m)), 
1.62/1.81	          one_one(int))), 
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	          app_encode_app(nat, int, 
1.62/1.81	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.62/1.81	              s), 
1.62/1.81	            app_encode_app(int, nat, number_number_of(nat), 
1.62/1.81	              app_encode_app(int, int, bit0, 
1.62/1.81	                app_encode_app(int, int, bit1, pls))))), one_one(int))),
1.62/1.81	    inference('demod', [status(thm)], ['0', '1'])).
1.62/1.81	tff(zf_stmt_101, axiom,
1.62/1.81	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
1.62/1.81	tff('3', plain,
1.62/1.81	    ![X126 : int]:
1.62/1.81	      app_encode_app(int, int, number_number_of(int), X126) = X126,
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_101])).
1.62/1.81	tff('4', plain,
1.62/1.81	    app_encode_app(int, $o, 
1.62/1.81	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.62/1.81	        app_encode_app(int, int, 
1.62/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	            app_encode_app(int, int, 
1.62/1.81	              app_encode_app(int, app_encode_fun(int, int), 
1.62/1.81	                times_times(int), 
1.62/1.81	                app_encode_app(int, int, bit0, 
1.62/1.81	                  app_encode_app(int, int, bit0, 
1.62/1.81	                    app_encode_app(int, int, bit1, pls)))), m)), 
1.62/1.81	          one_one(int))), 
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	          app_encode_app(nat, int, 
1.62/1.81	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.62/1.81	              s), 
1.62/1.81	            app_encode_app(int, nat, number_number_of(nat), 
1.62/1.81	              app_encode_app(int, int, bit0, 
1.62/1.81	                app_encode_app(int, int, bit1, pls))))), one_one(int))),
1.62/1.81	    inference('demod', [status(thm)], ['2', '3'])).
1.62/1.81	tff(zf_stmt_109, axiom,
1.62/1.81	  (![K1:int]:
1.62/1.81	     (app_encode_app(int,int,
1.62/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                    plus_plus(int),K1),
1.62/1.81	                     pls) =
1.62/1.81	      K1))).
1.62/1.81	tff('5', plain,
1.62/1.81	    ![X142 : int]:
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X142), 
1.62/1.81	        pls)
1.62/1.81	       = X142,
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_109])).
1.62/1.81	tff(zf_stmt_120, axiom,
1.62/1.81	  (![K1:int]:
1.62/1.81	     (app_encode_app(int,int,bit1,K1) =
1.62/1.81	      app_encode_app(int,int,
1.62/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                    plus_plus(int),
1.62/1.81	                                    app_encode_app(int,int,
1.62/1.81	                                                   app_encode_app(int,
1.62/1.81	                                                                  app_encode_fun(
1.62/1.81	                                                                  int,int),
1.62/1.81	                                                                  plus_plus(
1.62/1.81	                                                                  int),
1.62/1.81	                                                                  one_one(
1.62/1.81	                                                                  int)),
1.62/1.81	                                                   K1)),
1.62/1.81	                     K1)))).
1.62/1.81	tff('6', plain,
1.62/1.81	    ![X165 : int]:
1.62/1.81	      app_encode_app(int, int, bit1, X165)
1.62/1.81	       = app_encode_app(int, int, 
1.62/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	             app_encode_app(int, int, 
1.62/1.81	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	                 one_one(int)), X165)), X165),
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_120])).
1.62/1.81	tff('7', plain,
1.62/1.81	    app_encode_app(int, int, bit1, pls)
1.62/1.81	     = app_encode_app(int, int, 
1.62/1.81	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	           one_one(int)), pls),
1.62/1.81	    inference('sup+', [status(thm)], ['5', '6'])).
1.62/1.81	tff('8', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
1.62/1.81	    inference('demod', [status(thm)], ['7', '5'])).
1.62/1.81	tff(zf_stmt_58, axiom,
1.62/1.81	  (![L:int,K1:int]:
1.62/1.81	     (app_encode_app(int,int,
1.62/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                    times_times(int),
1.62/1.81	                                    app_encode_app(int,int,bit0,K1)),
1.62/1.81	                     L) =
1.62/1.81	      app_encode_app(int,int,bit0,
1.62/1.81	                     app_encode_app(int,int,
1.62/1.81	                                    app_encode_app(int,
1.62/1.81	                                                   app_encode_fun(int,int),
1.62/1.81	                                                   times_times(int),K1),
1.62/1.81	                                    L))))).
1.62/1.81	tff('9', plain,
1.62/1.81	    ![X39 : int, X40 : int]:
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.62/1.81	          app_encode_app(int, int, bit0, X39)), X40)
1.62/1.81	       = app_encode_app(int, int, bit0, 
1.62/1.81	           app_encode_app(int, int, 
1.62/1.81	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.62/1.81	               X39), X40)),
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_58])).
1.62/1.81	tff(zf_stmt_57, axiom,
1.62/1.81	  (![W:int]:
1.62/1.81	     (app_encode_app(int,int,
1.62/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                    times_times(int),pls),
1.62/1.81	                     W) =
1.62/1.81	      pls))).
1.62/1.81	tff('10', plain,
1.62/1.81	    ![X38 : int]:
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.62/1.81	        X38)
1.62/1.81	       = pls,
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_57])).
1.62/1.81	tff(zf_stmt_41, axiom,
1.62/1.81	  (![L:int,K1:int]:
1.62/1.81	     (app_encode_app(int,int,
1.62/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                    times_times(int),
1.62/1.81	                                    app_encode_app(int,int,bit1,K1)),
1.62/1.81	                     L) =
1.62/1.81	      app_encode_app(int,int,
1.62/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.62/1.81	                                    plus_plus(int),
1.62/1.81	                                    app_encode_app(int,int,bit0,
1.62/1.81	                                                   app_encode_app(int,int,
1.62/1.81	                                                                  app_encode_app(
1.62/1.81	                                                                  int,
1.62/1.81	                                                                  app_encode_fun(
1.62/1.81	                                                                  int,int),
1.62/1.81	                                                                  times_times(
1.62/1.81	                                                                  int),K1),L))),
1.62/1.81	                     L)))).
1.62/1.81	tff('11', plain,
1.62/1.81	    ![X8 : int, X9 : int]:
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.62/1.81	          app_encode_app(int, int, bit1, X8)), X9)
1.62/1.81	       = app_encode_app(int, int, 
1.62/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	             app_encode_app(int, int, bit0, 
1.62/1.81	               app_encode_app(int, int, 
1.62/1.81	                 app_encode_app(int, app_encode_fun(int, int), 
1.62/1.81	                   times_times(int), X8), X9))), X9),
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_41])).
1.62/1.81	tff('12', plain,
1.62/1.81	    ![X0 : int]:
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.62/1.81	          app_encode_app(int, int, bit1, pls)), X0)
1.62/1.81	       = app_encode_app(int, int, 
1.62/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.62/1.81	             app_encode_app(int, int, bit0, pls)), X0),
1.62/1.81	    inference('sup+', [status(thm)], ['10', '11'])).
1.62/1.81	tff(zf_stmt_56, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.62/1.81	tff('13', plain, app_encode_app(int, int, bit0, pls) = pls,
1.62/1.81	    inference('cnf', [status(esa)], [zf_stmt_56])).
1.62/1.81	tff('14', plain,
1.62/1.81	    ![X0 : int]:
1.62/1.81	      app_encode_app(int, int, 
1.62/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.62/1.81	          one_one(int)), X0)
1.62/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.63/1.81	           X0),
1.63/1.81	    inference('demod', [status(thm)], ['12', '8', '13'])).
1.63/1.81	tff(zf_stmt_110, axiom,
1.63/1.81	  (![K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),pls),
1.63/1.81	                     K1) =
1.63/1.81	      K1))).
1.63/1.81	tff('15', plain,
1.63/1.81	    ![X143 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.63/1.81	        X143)
1.63/1.81	       = X143,
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_110])).
1.63/1.81	tff('16', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	          one_one(int)), X0)
1.63/1.81	       = X0,
1.63/1.81	    inference('demod', [status(thm)], ['14', '15'])).
1.63/1.81	tff(zf_stmt_78, axiom,
1.63/1.81	  (![L:int,K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),
1.63/1.81	                                    app_encode_app(int,int,bit0,K1)),
1.63/1.81	                     app_encode_app(int,int,bit1,L)) =
1.63/1.81	      app_encode_app(int,int,bit1,
1.63/1.81	                     app_encode_app(int,int,
1.63/1.81	                                    app_encode_app(int,
1.63/1.81	                                                   app_encode_fun(int,int),
1.63/1.81	                                                   plus_plus(int),K1),
1.63/1.81	                                    L))))).
1.63/1.81	tff('17', plain,
1.63/1.81	    ![X83 : int, X84 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	          app_encode_app(int, int, bit0, X83)), 
1.63/1.81	        app_encode_app(int, int, bit1, X84))
1.63/1.81	       = app_encode_app(int, int, bit1, 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               X83), X84)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_78])).
1.63/1.81	tff('18', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.63/1.81	       = app_encode_app(int, int, bit1, 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               X0), pls)),
1.63/1.81	    inference('sup+', [status(thm)], ['8', '17'])).
1.63/1.81	tff('19', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.63/1.81	       = app_encode_app(int, int, bit1, X0),
1.63/1.81	    inference('demod', [status(thm)], ['18', '5'])).
1.63/1.81	tff(zf_stmt_36, axiom,
1.63/1.81	  (![B1:$tType]:
1.63/1.81	     ((monoid_mult(B1) & number(B1)) =>
1.63/1.81	      (![W:int]:
1.63/1.81	         (app_encode_app(nat,B1,
1.63/1.81	                         app_encode_app(B1,app_encode_fun(nat,B1),
1.63/1.81	                                        power_power(B1),
1.63/1.81	                                        app_encode_app(int,B1,
1.63/1.81	                                                       number_number_of(B1),W)),
1.63/1.81	                         app_encode_app(int,nat,number_number_of(nat),
1.63/1.81	                                        app_encode_app(int,int,bit0,
1.63/1.81	                                                       app_encode_app(
1.63/1.81	                                                       int,int,bit1,pls)))) =
1.63/1.81	          app_encode_app(B1,B1,
1.63/1.81	                         app_encode_app(B1,app_encode_fun(B1,B1),
1.63/1.81	                                        times_times(B1),
1.63/1.81	                                        app_encode_app(int,B1,
1.63/1.81	                                                       number_number_of(B1),W)),
1.63/1.81	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
1.63/1.81	tff('20', plain,
1.63/1.81	    ![X0 : $tType, X1 : int]:
1.63/1.81	      (app_encode_app(nat, X0, 
1.63/1.81	         app_encode_app(X0, app_encode_fun(nat, X0), power_power(X0), 
1.63/1.81	           app_encode_app(int, X0, number_number_of(X0), X1)), 
1.63/1.81	         app_encode_app(int, nat, number_number_of(nat), 
1.63/1.81	           app_encode_app(int, int, bit0, 
1.63/1.81	             app_encode_app(int, int, bit1, pls))))
1.63/1.81	        = app_encode_app(X0, X0, 
1.63/1.81	            app_encode_app(X0, app_encode_fun(X0, X0), times_times(X0), 
1.63/1.81	              app_encode_app(int, X0, number_number_of(X0), X1)), 
1.63/1.81	            app_encode_app(int, X0, number_number_of(X0), X1))
1.63/1.81	       | ~ number(X0)
1.63/1.81	       | ~ monoid_mult(X0)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_36])).
1.63/1.81	tff('21', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      (app_encode_app(nat, int, 
1.63/1.81	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.63/1.81	         app_encode_app(int, nat, number_number_of(nat), 
1.63/1.81	           app_encode_app(int, int, bit0, 
1.63/1.81	             app_encode_app(int, int, bit1, pls))))
1.63/1.81	        = app_encode_app(int, int, 
1.63/1.81	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	              app_encode_app(int, int, number_number_of(int), X0)), 
1.63/1.81	            app_encode_app(int, int, number_number_of(int), X0))
1.63/1.81	       | ~ monoid_mult(int)
1.63/1.81	       | ~ number(int)),
1.63/1.81	    inference('sup+', [status(thm)], ['3', '20'])).
1.63/1.81	tff(zf_stmt_130, axiom, (monoid_mult(int))).
1.63/1.81	tff('22', plain, monoid_mult(int),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_130])).
1.63/1.81	tff(zf_stmt_136, axiom, (number(int))).
1.63/1.81	tff('23', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_136])).
1.63/1.81	tff('24', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      (app_encode_app(nat, int, 
1.63/1.81	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.63/1.81	         app_encode_app(int, nat, number_number_of(nat), 
1.63/1.81	           app_encode_app(int, int, bit0, 
1.63/1.81	             app_encode_app(int, int, bit1, pls))))
1.63/1.81	        = app_encode_app(int, int, 
1.63/1.81	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	              X0), X0)
1.63/1.81	       | ~ $true
1.63/1.81	       | ~ $true),
1.63/1.81	    inference('demod', [status(thm)], ['21', '3', '3', '22', '23'])).
1.63/1.81	tff('25', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(nat, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.63/1.81	        app_encode_app(int, nat, number_number_of(nat), 
1.63/1.81	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	             X0), X0),
1.63/1.81	    inference('simplify', [status(thm)], ['24'])).
1.63/1.81	tff('26', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(nat, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.63/1.81	        app_encode_app(int, nat, number_number_of(nat), 
1.63/1.81	          app_encode_app(int, int, bit0, one_one(int))))
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	             X0), X0),
1.63/1.81	    inference('demod', [status(thm)], ['25', '8'])).
1.63/1.81	tff('27', plain,
1.63/1.81	    app_encode_app(int, $o, 
1.63/1.81	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.63/1.81	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	          app_encode_app(int, int, 
1.63/1.81	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	              s), s)), one_one(int))),
1.63/1.81	    inference('demod', [status(thm)],
1.63/1.81	              ['4', '8', '9', '9', '16', '19', '8', '26'])).
1.63/1.81	tff(zf_stmt_144, conjecture,
1.63/1.81	  (app_encode_app(int,$o,
1.63/1.81	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.63/1.81	                                 app_encode_app(int,int,
1.63/1.81	                                                app_encode_app(int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               int,int),
1.63/1.81	                                                               plus_plus(int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               int,int),
1.63/1.81	                                                               times_times(
1.63/1.81	                                                               int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,
1.63/1.81	                                                               number_number_of(
1.63/1.81	                                                               int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit1,
1.63/1.81	                                                               pls))))),m)),
1.63/1.81	                                                one_one(int))),
1.63/1.81	                  app_encode_app(int,int,
1.63/1.81	                                 app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                                plus_plus(int),
1.63/1.81	                                                app_encode_app(nat,int,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               nat,int),
1.63/1.81	                                                               power_power(
1.63/1.81	                                                               int),s),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,nat,
1.63/1.81	                                                               number_number_of(
1.63/1.81	                                                               nat),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit1,
1.63/1.81	                                                               pls))))),
1.63/1.81	                                 one_one(int))))).
1.63/1.81	tff(zf_stmt_0, negated_conjecture,
1.63/1.81	  (~
1.63/1.81	    app_encode_app(int,$o,
1.63/1.81	                   app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.63/1.81	                                  app_encode_app(int,int,
1.63/1.81	                                                 app_encode_app(int,
1.63/1.81	                                                                app_encode_fun(
1.63/1.81	                                                                int,int),
1.63/1.81	                                                                plus_plus(
1.63/1.81	                                                                int),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,
1.63/1.81	                                                                app_encode_fun(
1.63/1.81	                                                                int,int),
1.63/1.81	                                                                times_times(
1.63/1.81	                                                                int),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,
1.63/1.81	                                                                number_number_of(
1.63/1.81	                                                                int),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit0,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit0,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit1,
1.63/1.81	                                                                pls))))),m)),
1.63/1.81	                                                 one_one(int))),
1.63/1.81	                   app_encode_app(int,int,
1.63/1.81	                                  app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                                 plus_plus(int),
1.63/1.81	                                                 app_encode_app(nat,int,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,
1.63/1.81	                                                                app_encode_fun(
1.63/1.81	                                                                nat,int),
1.63/1.81	                                                                power_power(
1.63/1.81	                                                                int),s),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,nat,
1.63/1.81	                                                                number_number_of(
1.63/1.81	                                                                nat),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit0,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit1,
1.63/1.81	                                                                pls))))),
1.63/1.81	                                  one_one(int))))).
1.63/1.81	tff('28', plain,
1.63/1.81	    ~ app_encode_app(int, $o, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.63/1.81	          app_encode_app(int, int, 
1.63/1.81	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	              app_encode_app(int, int, 
1.63/1.81	                app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                  times_times(int), 
1.63/1.81	                  app_encode_app(int, int, number_number_of(int), 
1.63/1.81	                    app_encode_app(int, int, bit0, 
1.63/1.81	                      app_encode_app(int, int, bit0, 
1.63/1.81	                        app_encode_app(int, int, bit1, pls))))), m)), 
1.63/1.81	            one_one(int))), 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	            app_encode_app(nat, int, 
1.63/1.81	              app_encode_app(int, app_encode_fun(nat, int), 
1.63/1.81	                power_power(int), s), 
1.63/1.81	              app_encode_app(int, nat, number_number_of(nat), 
1.63/1.81	                app_encode_app(int, int, bit0, 
1.63/1.81	                  app_encode_app(int, int, bit1, pls))))), one_one(int))),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.81	tff('29', plain,
1.63/1.81	    ~ app_encode_app(int, $o, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.63/1.81	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	            app_encode_app(int, int, 
1.63/1.81	              app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                times_times(int), s), s)), one_one(int))),
1.63/1.81	    inference('demod', [status(thm)],
1.63/1.81	              ['28', '8', '3', '9', '9', '16', '19', '8', '26'])).
1.63/1.81	tff('30', plain, ~ $true, inference('sup-', [status(thm)], ['27', '29'])).
1.63/1.81	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
1.63/1.81	
1.63/1.81	% SZS output end Refutation
1.63/1.81	EOF
