0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n159.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:50:39 CST 2018
1.73/1.97	% done 841 iterations in 1.768s
1.73/1.97	% SZS status Theorem for 'stdin'
1.73/1.97	% SZS output start Refutation
1.73/1.97	tff(zf_stmt_34, axiom,
1.73/1.97	  (app_encode_app(int,$o,
1.73/1.97	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.73/1.97	                                 app_encode_app(int,int,
1.73/1.97	                                                app_encode_app(int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               int,int),
1.73/1.97	                                                               plus_plus(int),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               int,int),
1.73/1.97	                                                               times_times(
1.73/1.97	                                                               int),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,
1.73/1.97	                                                               number_number_of(
1.73/1.97	                                                               int),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit1,
1.73/1.97	                                                               pls))))),m)),
1.73/1.97	                                                one_one(int))),
1.73/1.97	                  app_encode_app(int,int,
1.73/1.97	                                 app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                                minus_minus(int),
1.73/1.97	                                                app_encode_app(nat,int,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               nat,int),
1.73/1.97	                                                               power_power(
1.73/1.97	                                                               int),s),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,nat,
1.73/1.97	                                                               number_number_of(
1.73/1.97	                                                               nat),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit1,
1.73/1.97	                                                               pls))))),
1.73/1.97	                                 app_encode_app(int,int,
1.73/1.97	                                                number_number_of(int),min))))).
1.73/1.97	tff('0', plain,
1.73/1.97	    app_encode_app(int, $o, 
1.73/1.97	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.73/1.97	        app_encode_app(int, int, 
1.73/1.97	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	            app_encode_app(int, int, 
1.73/1.97	              app_encode_app(int, app_encode_fun(int, int), 
1.73/1.97	                times_times(int), 
1.73/1.97	                app_encode_app(int, int, number_number_of(int), 
1.73/1.97	                  app_encode_app(int, int, bit0, 
1.73/1.97	                    app_encode_app(int, int, bit0, 
1.73/1.97	                      app_encode_app(int, int, bit1, pls))))), m)), 
1.73/1.97	          one_one(int))), 
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
1.73/1.97	          app_encode_app(nat, int, 
1.73/1.97	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.73/1.97	              s), 
1.73/1.97	            app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	              app_encode_app(int, int, bit0, 
1.73/1.97	                app_encode_app(int, int, bit1, pls))))), 
1.73/1.97	        app_encode_app(int, int, number_number_of(int), min))),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_34])).
1.73/1.97	tff(zf_stmt_33, axiom,
1.73/1.97	  (app_encode_app(int,int,
1.73/1.97	                  app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                 minus_minus(int),
1.73/1.97	                                 app_encode_app(nat,int,
1.73/1.97	                                                app_encode_app(int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               nat,int),
1.73/1.97	                                                               power_power(
1.73/1.97	                                                               int),s),
1.73/1.97	                                                app_encode_app(int,nat,
1.73/1.97	                                                               number_number_of(
1.73/1.97	                                                               nat),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit1,
1.73/1.97	                                                               pls))))),
1.73/1.97	                  app_encode_app(int,int,number_number_of(int),min)) =
1.73/1.97	   app_encode_app(int,int,
1.73/1.97	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.73/1.97	                                 app_encode_app(nat,int,
1.73/1.97	                                                app_encode_app(int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               nat,int),
1.73/1.97	                                                               power_power(
1.73/1.97	                                                               int),s),
1.73/1.97	                                                app_encode_app(int,nat,
1.73/1.97	                                                               number_number_of(
1.73/1.97	                                                               nat),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit1,
1.73/1.97	                                                               pls))))),
1.73/1.97	                  one_one(int)))).
1.73/1.97	tff('1', plain,
1.73/1.97	    app_encode_app(int, int, 
1.73/1.97	      app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
1.73/1.97	        app_encode_app(nat, int, 
1.73/1.97	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
1.73/1.97	          app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	            app_encode_app(int, int, bit0, 
1.73/1.97	              app_encode_app(int, int, bit1, pls))))), 
1.73/1.97	      app_encode_app(int, int, number_number_of(int), min))
1.73/1.97	     = app_encode_app(int, int, 
1.73/1.97	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	           app_encode_app(nat, int, 
1.73/1.97	             app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.73/1.97	               s), 
1.73/1.97	             app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	               app_encode_app(int, int, bit0, 
1.73/1.97	                 app_encode_app(int, int, bit1, pls))))), one_one(int)),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_33])).
1.73/1.97	tff('2', plain,
1.73/1.97	    app_encode_app(int, $o, 
1.73/1.97	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.73/1.97	        app_encode_app(int, int, 
1.73/1.97	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	            app_encode_app(int, int, 
1.73/1.97	              app_encode_app(int, app_encode_fun(int, int), 
1.73/1.97	                times_times(int), 
1.73/1.97	                app_encode_app(int, int, number_number_of(int), 
1.73/1.97	                  app_encode_app(int, int, bit0, 
1.73/1.97	                    app_encode_app(int, int, bit0, 
1.73/1.97	                      app_encode_app(int, int, bit1, pls))))), m)), 
1.73/1.97	          one_one(int))), 
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	          app_encode_app(nat, int, 
1.73/1.97	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.73/1.97	              s), 
1.73/1.97	            app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	              app_encode_app(int, int, bit0, 
1.73/1.97	                app_encode_app(int, int, bit1, pls))))), one_one(int))),
1.73/1.97	    inference('demod', [status(thm)], ['0', '1'])).
1.73/1.97	tff(zf_stmt_102, axiom,
1.73/1.97	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
1.73/1.97	tff('3', plain,
1.73/1.97	    ![X130 : int]:
1.73/1.97	      app_encode_app(int, int, number_number_of(int), X130) = X130,
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_102])).
1.73/1.97	tff('4', plain,
1.73/1.97	    app_encode_app(int, $o, 
1.73/1.97	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.73/1.97	        app_encode_app(int, int, 
1.73/1.97	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	            app_encode_app(int, int, 
1.73/1.97	              app_encode_app(int, app_encode_fun(int, int), 
1.73/1.97	                times_times(int), 
1.73/1.97	                app_encode_app(int, int, bit0, 
1.73/1.97	                  app_encode_app(int, int, bit0, 
1.73/1.97	                    app_encode_app(int, int, bit1, pls)))), m)), 
1.73/1.97	          one_one(int))), 
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	          app_encode_app(nat, int, 
1.73/1.97	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.73/1.97	              s), 
1.73/1.97	            app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	              app_encode_app(int, int, bit0, 
1.73/1.97	                app_encode_app(int, int, bit1, pls))))), one_one(int))),
1.73/1.97	    inference('demod', [status(thm)], ['2', '3'])).
1.73/1.97	tff(zf_stmt_110, axiom,
1.73/1.97	  (![K1:int]:
1.73/1.97	     (app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    plus_plus(int),K1),
1.73/1.97	                     pls) =
1.73/1.97	      K1))).
1.73/1.97	tff('5', plain,
1.73/1.97	    ![X146 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X146), 
1.73/1.97	        pls)
1.73/1.97	       = X146,
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_110])).
1.73/1.97	tff(zf_stmt_121, axiom,
1.73/1.97	  (![K1:int]:
1.73/1.97	     (app_encode_app(int,int,bit1,K1) =
1.73/1.97	      app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    plus_plus(int),
1.73/1.97	                                    app_encode_app(int,int,
1.73/1.97	                                                   app_encode_app(int,
1.73/1.97	                                                                  app_encode_fun(
1.73/1.97	                                                                  int,int),
1.73/1.97	                                                                  plus_plus(
1.73/1.97	                                                                  int),
1.73/1.97	                                                                  one_one(
1.73/1.97	                                                                  int)),
1.73/1.97	                                                   K1)),
1.73/1.97	                     K1)))).
1.73/1.97	tff('6', plain,
1.73/1.97	    ![X169 : int]:
1.73/1.97	      app_encode_app(int, int, bit1, X169)
1.73/1.97	       = app_encode_app(int, int, 
1.73/1.97	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	             app_encode_app(int, int, 
1.73/1.97	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	                 one_one(int)), X169)), X169),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_121])).
1.73/1.97	tff('7', plain,
1.73/1.97	    app_encode_app(int, int, bit1, pls)
1.73/1.97	     = app_encode_app(int, int, 
1.73/1.97	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	           one_one(int)), pls),
1.73/1.97	    inference('sup+', [status(thm)], ['5', '6'])).
1.73/1.97	tff('8', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
1.73/1.97	    inference('demod', [status(thm)], ['7', '5'])).
1.73/1.97	tff(zf_stmt_59, axiom,
1.73/1.97	  (![L:int,K1:int]:
1.73/1.97	     (app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    times_times(int),
1.73/1.97	                                    app_encode_app(int,int,bit0,K1)),
1.73/1.97	                     L) =
1.73/1.97	      app_encode_app(int,int,bit0,
1.73/1.97	                     app_encode_app(int,int,
1.73/1.97	                                    app_encode_app(int,
1.73/1.97	                                                   app_encode_fun(int,int),
1.73/1.97	                                                   times_times(int),K1),
1.73/1.97	                                    L))))).
1.73/1.97	tff('9', plain,
1.73/1.97	    ![X43 : int, X44 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	          app_encode_app(int, int, bit0, X43)), X44)
1.73/1.97	       = app_encode_app(int, int, bit0, 
1.73/1.97	           app_encode_app(int, int, 
1.73/1.97	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	               X43), X44)),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_59])).
1.73/1.97	tff(zf_stmt_58, axiom,
1.73/1.97	  (![W:int]:
1.73/1.97	     (app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    times_times(int),pls),
1.73/1.97	                     W) =
1.73/1.97	      pls))).
1.73/1.97	tff('10', plain,
1.73/1.97	    ![X42 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.73/1.97	        X42)
1.73/1.97	       = pls,
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_58])).
1.73/1.97	tff(zf_stmt_42, axiom,
1.73/1.97	  (![L:int,K1:int]:
1.73/1.97	     (app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    times_times(int),
1.73/1.97	                                    app_encode_app(int,int,bit1,K1)),
1.73/1.97	                     L) =
1.73/1.97	      app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    plus_plus(int),
1.73/1.97	                                    app_encode_app(int,int,bit0,
1.73/1.97	                                                   app_encode_app(int,int,
1.73/1.97	                                                                  app_encode_app(
1.73/1.97	                                                                  int,
1.73/1.97	                                                                  app_encode_fun(
1.73/1.97	                                                                  int,int),
1.73/1.97	                                                                  times_times(
1.73/1.97	                                                                  int),K1),L))),
1.73/1.97	                     L)))).
1.73/1.97	tff('11', plain,
1.73/1.97	    ![X12 : int, X13 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	          app_encode_app(int, int, bit1, X12)), X13)
1.73/1.97	       = app_encode_app(int, int, 
1.73/1.97	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	             app_encode_app(int, int, bit0, 
1.73/1.97	               app_encode_app(int, int, 
1.73/1.97	                 app_encode_app(int, app_encode_fun(int, int), 
1.73/1.97	                   times_times(int), X12), X13))), X13),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_42])).
1.73/1.97	tff('12', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	          app_encode_app(int, int, bit1, pls)), X0)
1.73/1.97	       = app_encode_app(int, int, 
1.73/1.97	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	             app_encode_app(int, int, bit0, pls)), X0),
1.73/1.97	    inference('sup+', [status(thm)], ['10', '11'])).
1.73/1.97	tff(zf_stmt_57, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.73/1.97	tff('13', plain, app_encode_app(int, int, bit0, pls) = pls,
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_57])).
1.73/1.97	tff('14', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	          one_one(int)), X0)
1.73/1.97	       = app_encode_app(int, int, 
1.73/1.97	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.73/1.97	           X0),
1.73/1.97	    inference('demod', [status(thm)], ['12', '8', '13'])).
1.73/1.97	tff(zf_stmt_111, axiom,
1.73/1.97	  (![K1:int]:
1.73/1.97	     (app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    plus_plus(int),pls),
1.73/1.97	                     K1) =
1.73/1.97	      K1))).
1.73/1.97	tff('15', plain,
1.73/1.97	    ![X147 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.73/1.97	        X147)
1.73/1.97	       = X147,
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_111])).
1.73/1.97	tff('16', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	          one_one(int)), X0)
1.73/1.97	       = X0,
1.73/1.97	    inference('demod', [status(thm)], ['14', '15'])).
1.73/1.97	tff(zf_stmt_79, axiom,
1.73/1.97	  (![L:int,K1:int]:
1.73/1.97	     (app_encode_app(int,int,
1.73/1.97	                     app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                    plus_plus(int),
1.73/1.97	                                    app_encode_app(int,int,bit0,K1)),
1.73/1.97	                     app_encode_app(int,int,bit1,L)) =
1.73/1.97	      app_encode_app(int,int,bit1,
1.73/1.97	                     app_encode_app(int,int,
1.73/1.97	                                    app_encode_app(int,
1.73/1.97	                                                   app_encode_fun(int,int),
1.73/1.97	                                                   plus_plus(int),K1),
1.73/1.97	                                    L))))).
1.73/1.97	tff('17', plain,
1.73/1.97	    ![X87 : int, X88 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	          app_encode_app(int, int, bit0, X87)), 
1.73/1.97	        app_encode_app(int, int, bit1, X88))
1.73/1.97	       = app_encode_app(int, int, bit1, 
1.73/1.97	           app_encode_app(int, int, 
1.73/1.97	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	               X87), X88)),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_79])).
1.73/1.97	tff('18', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.73/1.97	       = app_encode_app(int, int, bit1, 
1.73/1.97	           app_encode_app(int, int, 
1.73/1.97	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	               X0), pls)),
1.73/1.97	    inference('sup+', [status(thm)], ['8', '17'])).
1.73/1.97	tff('19', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.73/1.97	       = app_encode_app(int, int, bit1, X0),
1.73/1.97	    inference('demod', [status(thm)], ['18', '5'])).
1.73/1.97	tff(zf_stmt_37, axiom,
1.73/1.97	  (![B1:$tType]:
1.73/1.97	     ((monoid_mult(B1) & number(B1)) =>
1.73/1.97	      (![W:int]:
1.73/1.97	         (app_encode_app(nat,B1,
1.73/1.97	                         app_encode_app(B1,app_encode_fun(nat,B1),
1.73/1.97	                                        power_power(B1),
1.73/1.97	                                        app_encode_app(int,B1,
1.73/1.97	                                                       number_number_of(B1),W)),
1.73/1.97	                         app_encode_app(int,nat,number_number_of(nat),
1.73/1.97	                                        app_encode_app(int,int,bit0,
1.73/1.97	                                                       app_encode_app(
1.73/1.97	                                                       int,int,bit1,pls)))) =
1.73/1.97	          app_encode_app(B1,B1,
1.73/1.97	                         app_encode_app(B1,app_encode_fun(B1,B1),
1.73/1.97	                                        times_times(B1),
1.73/1.97	                                        app_encode_app(int,B1,
1.73/1.97	                                                       number_number_of(B1),W)),
1.73/1.97	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
1.73/1.97	tff('20', plain,
1.73/1.97	    ![X4 : $tType, X5 : int]:
1.73/1.97	      (app_encode_app(nat, X4, 
1.73/1.97	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), 
1.73/1.97	           app_encode_app(int, X4, number_number_of(X4), X5)), 
1.73/1.97	         app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	           app_encode_app(int, int, bit0, 
1.73/1.97	             app_encode_app(int, int, bit1, pls))))
1.73/1.97	        = app_encode_app(X4, X4, 
1.73/1.97	            app_encode_app(X4, app_encode_fun(X4, X4), times_times(X4), 
1.73/1.97	              app_encode_app(int, X4, number_number_of(X4), X5)), 
1.73/1.97	            app_encode_app(int, X4, number_number_of(X4), X5))
1.73/1.97	       | ~ number(X4)
1.73/1.97	       | ~ monoid_mult(X4)),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_37])).
1.73/1.97	tff('21', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      (app_encode_app(nat, int, 
1.73/1.97	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.73/1.97	         app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	           app_encode_app(int, int, bit0, 
1.73/1.97	             app_encode_app(int, int, bit1, pls))))
1.73/1.97	        = app_encode_app(int, int, 
1.73/1.97	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	              app_encode_app(int, int, number_number_of(int), X0)), 
1.73/1.97	            app_encode_app(int, int, number_number_of(int), X0))
1.73/1.97	       | ~ monoid_mult(int)
1.73/1.97	       | ~ number(int)),
1.73/1.97	    inference('sup+', [status(thm)], ['3', '20'])).
1.73/1.97	tff(zf_stmt_131, axiom, (monoid_mult(int))).
1.73/1.97	tff('22', plain, monoid_mult(int),
1.73/1.97	    inference('cnf', [status(esa)], [zf_stmt_131])).
1.73/1.97	tff(zf_stmt_137, axiom, (number(int))).
1.73/1.97	tff('23', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_137])).
1.73/1.97	tff('24', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      (app_encode_app(nat, int, 
1.73/1.97	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.73/1.97	         app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	           app_encode_app(int, int, bit0, 
1.73/1.97	             app_encode_app(int, int, bit1, pls))))
1.73/1.97	        = app_encode_app(int, int, 
1.73/1.97	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	              X0), X0)
1.73/1.97	       | ~ $true
1.73/1.97	       | ~ $true),
1.73/1.97	    inference('demod', [status(thm)], ['21', '3', '3', '22', '23'])).
1.73/1.97	tff('25', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(nat, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.73/1.97	        app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
1.73/1.97	       = app_encode_app(int, int, 
1.73/1.97	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	             X0), X0),
1.73/1.97	    inference('simplify', [status(thm)], ['24'])).
1.73/1.97	tff('26', plain,
1.73/1.97	    ![X0 : int]:
1.73/1.97	      app_encode_app(nat, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.73/1.97	        app_encode_app(int, nat, number_number_of(nat), 
1.73/1.97	          app_encode_app(int, int, bit0, one_one(int))))
1.73/1.97	       = app_encode_app(int, int, 
1.73/1.97	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	             X0), X0),
1.73/1.97	    inference('demod', [status(thm)], ['25', '8'])).
1.73/1.97	tff('27', plain,
1.73/1.97	    app_encode_app(int, $o, 
1.73/1.97	      app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.73/1.97	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.73/1.97	      app_encode_app(int, int, 
1.73/1.97	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.97	          app_encode_app(int, int, 
1.73/1.97	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.73/1.97	              s), s)), one_one(int))),
1.73/1.97	    inference('demod', [status(thm)],
1.73/1.97	              ['4', '8', '9', '9', '16', '19', '8', '26'])).
1.73/1.97	tff(zf_stmt_145, conjecture,
1.73/1.97	  (app_encode_app(int,$o,
1.73/1.97	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.73/1.97	                                 app_encode_app(int,int,
1.73/1.97	                                                app_encode_app(int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               int,int),
1.73/1.97	                                                               plus_plus(int),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               int,int),
1.73/1.97	                                                               times_times(
1.73/1.97	                                                               int),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,
1.73/1.97	                                                               number_number_of(
1.73/1.97	                                                               int),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit1,
1.73/1.97	                                                               pls))))),m)),
1.73/1.97	                                                one_one(int))),
1.73/1.97	                  app_encode_app(int,int,
1.73/1.97	                                 app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                                plus_plus(int),
1.73/1.97	                                                app_encode_app(nat,int,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,
1.73/1.97	                                                               app_encode_fun(
1.73/1.97	                                                               nat,int),
1.73/1.97	                                                               power_power(
1.73/1.97	                                                               int),s),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,nat,
1.73/1.97	                                                               number_number_of(
1.73/1.97	                                                               nat),
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit0,
1.73/1.97	                                                               app_encode_app(
1.73/1.97	                                                               int,int,bit1,
1.73/1.97	                                                               pls))))),
1.73/1.97	                                 one_one(int))))).
1.73/1.97	tff(zf_stmt_0, negated_conjecture,
1.73/1.97	  (~
1.73/1.97	    app_encode_app(int,$o,
1.73/1.97	                   app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.73/1.97	                                  app_encode_app(int,int,
1.73/1.97	                                                 app_encode_app(int,
1.73/1.97	                                                                app_encode_fun(
1.73/1.97	                                                                int,int),
1.73/1.97	                                                                plus_plus(
1.73/1.97	                                                                int),
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,
1.73/1.97	                                                                app_encode_fun(
1.73/1.97	                                                                int,int),
1.73/1.97	                                                                times_times(
1.73/1.97	                                                                int),
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,
1.73/1.97	                                                                number_number_of(
1.73/1.97	                                                                int),
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,bit0,
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,bit0,
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,bit1,
1.73/1.97	                                                                pls))))),m)),
1.73/1.97	                                                 one_one(int))),
1.73/1.97	                   app_encode_app(int,int,
1.73/1.97	                                  app_encode_app(int,app_encode_fun(int,int),
1.73/1.97	                                                 plus_plus(int),
1.73/1.97	                                                 app_encode_app(nat,int,
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,
1.73/1.97	                                                                app_encode_fun(
1.73/1.97	                                                                nat,int),
1.73/1.97	                                                                power_power(
1.73/1.97	                                                                int),s),
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,nat,
1.73/1.97	                                                                number_number_of(
1.73/1.97	                                                                nat),
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,bit0,
1.73/1.97	                                                                app_encode_app(
1.73/1.97	                                                                int,int,bit1,
1.73/1.97	                                                                pls))))),
1.73/1.97	                                  one_one(int))))).
1.73/1.98	tff('28', plain,
1.73/1.98	    ~ app_encode_app(int, $o, 
1.73/1.98	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.73/1.98	          app_encode_app(int, int, 
1.73/1.98	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.98	              app_encode_app(int, int, 
1.73/1.98	                app_encode_app(int, app_encode_fun(int, int), 
1.73/1.98	                  times_times(int), 
1.73/1.98	                  app_encode_app(int, int, number_number_of(int), 
1.73/1.98	                    app_encode_app(int, int, bit0, 
1.73/1.98	                      app_encode_app(int, int, bit0, 
1.73/1.98	                        app_encode_app(int, int, bit1, pls))))), m)), 
1.73/1.98	            one_one(int))), 
1.73/1.98	        app_encode_app(int, int, 
1.73/1.98	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.98	            app_encode_app(nat, int, 
1.73/1.98	              app_encode_app(int, app_encode_fun(nat, int), 
1.73/1.98	                power_power(int), s), 
1.73/1.98	              app_encode_app(int, nat, number_number_of(nat), 
1.73/1.98	                app_encode_app(int, int, bit0, 
1.73/1.98	                  app_encode_app(int, int, bit1, pls))))), one_one(int))),
1.73/1.98	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.73/1.98	tff('29', plain,
1.73/1.98	    ~ app_encode_app(int, $o, 
1.73/1.98	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.73/1.98	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.73/1.98	        app_encode_app(int, int, 
1.73/1.98	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.73/1.98	            app_encode_app(int, int, 
1.73/1.98	              app_encode_app(int, app_encode_fun(int, int), 
1.73/1.98	                times_times(int), s), s)), one_one(int))),
1.73/1.98	    inference('demod', [status(thm)],
1.73/1.98	              ['28', '8', '3', '9', '9', '16', '19', '8', '26'])).
1.73/1.98	tff('30', plain, ~ $true, inference('sup-', [status(thm)], ['27', '29'])).
1.73/1.98	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
1.73/1.98	
1.73/1.98	% SZS output end Refutation
1.73/1.98	EOF
