0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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   : n087.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 07:31:09 CST 2018
3.04/3.28	% done 1454 iterations in 3.078s
3.04/3.28	% SZS status Theorem for 'stdin'
3.04/3.28	% SZS output start Refutation
3.04/3.28	tff(zf_stmt_32, axiom,
3.04/3.28	  (app_encode_app(int,int,
3.04/3.28	                  app_encode_app(int,app_encode_fun(int,int),plus_plus_int,
3.04/3.28	                                 app_encode_app(nat,int,
3.04/3.28	                                                app_encode_app(int,
3.04/3.28	                                                               app_encode_fun(
3.04/3.28	                                                               nat,int),
3.04/3.28	                                                               power_power_int,
3.04/3.28	                                                               s),
3.04/3.28	                                                app_encode_app(int,nat,
3.04/3.28	                                                               number_number_of_nat,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,bit0,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,bit1,
3.04/3.28	                                                               pls))))),
3.04/3.28	                  one_one_int) =
3.04/3.28	   app_encode_app(int,int,
3.04/3.28	                  app_encode_app(int,app_encode_fun(int,int),times_times_int,
3.04/3.28	                                 app_encode_app(int,int,
3.04/3.28	                                                app_encode_app(int,
3.04/3.28	                                                               app_encode_fun(
3.04/3.28	                                                               int,int),
3.04/3.28	                                                               plus_plus_int,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,
3.04/3.28	                                                               app_encode_fun(
3.04/3.28	                                                               int,int),
3.04/3.28	                                                               times_times_int,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,
3.04/3.28	                                                               number_number_of_int,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,bit0,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,bit0,
3.04/3.28	                                                               app_encode_app(
3.04/3.28	                                                               int,int,bit1,
3.04/3.28	                                                               pls))))),m)),
3.04/3.28	                                                one_one_int)),
3.04/3.28	                  t))).
3.04/3.28	tff('0', plain,
3.04/3.28	    app_encode_app(int, int, 
3.04/3.28	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	        app_encode_app(nat, int, 
3.04/3.29	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
3.04/3.29	          app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	            app_encode_app(int, int, bit0, 
3.04/3.29	              app_encode_app(int, int, bit1, pls))))), one_one_int)
3.04/3.29	     = app_encode_app(int, int, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	           app_encode_app(int, int, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	               app_encode_app(int, int, 
3.04/3.29	                 app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                   times_times_int, 
3.04/3.29	                   app_encode_app(int, int, number_number_of_int, 
3.04/3.29	                     app_encode_app(int, int, bit0, 
3.04/3.29	                       app_encode_app(int, int, bit0, 
3.04/3.29	                         app_encode_app(int, int, bit1, pls))))), m)), 
3.04/3.29	             one_one_int)), t),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_32])).
3.04/3.29	tff(zf_stmt_53, axiom,
3.04/3.29	  (![K_1:int]: (app_encode_app(int,int,number_number_of_int,K_1) = K_1))).
3.04/3.29	tff('1', plain,
3.04/3.29	    ![X20 : int]: app_encode_app(int, int, number_number_of_int, X20) = X20,
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_53])).
3.04/3.29	tff('2', plain,
3.04/3.29	    app_encode_app(int, int, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	        app_encode_app(nat, int, 
3.04/3.29	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
3.04/3.29	          app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	            app_encode_app(int, int, bit0, 
3.04/3.29	              app_encode_app(int, int, bit1, pls))))), one_one_int)
3.04/3.29	     = app_encode_app(int, int, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	           app_encode_app(int, int, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	               app_encode_app(int, int, 
3.04/3.29	                 app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                   times_times_int, 
3.04/3.29	                   app_encode_app(int, int, bit0, 
3.04/3.29	                     app_encode_app(int, int, bit0, 
3.04/3.29	                       app_encode_app(int, int, bit1, pls)))), m)), 
3.04/3.29	             one_one_int)), t),
3.04/3.29	    inference('demod', [status(thm)], ['0', '1'])).
3.04/3.29	tff(zf_stmt_133, axiom,
3.04/3.29	  (![Z:int,W:int]:
3.04/3.29	     (app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    plus_plus_int,Z),
3.04/3.29	                     W) =
3.04/3.29	      app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    plus_plus_int,W),
3.04/3.29	                     Z)))).
3.04/3.29	tff('3', plain,
3.04/3.29	    ![X205 : int, X206 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X206), 
3.04/3.29	        X205)
3.04/3.29	       = app_encode_app(int, int, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X205), 
3.04/3.29	           X206),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_133])).
3.04/3.29	tff('4', plain,
3.04/3.29	    app_encode_app(int, int, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	        one_one_int), 
3.04/3.29	      app_encode_app(nat, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
3.04/3.29	        app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
3.04/3.29	     = app_encode_app(int, int, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	           app_encode_app(int, int, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	               one_one_int), 
3.04/3.29	             app_encode_app(int, int, 
3.04/3.29	               app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                 times_times_int, 
3.04/3.29	                 app_encode_app(int, int, bit0, 
3.04/3.29	                   app_encode_app(int, int, bit0, 
3.04/3.29	                     app_encode_app(int, int, bit1, pls)))), m))), t),
3.04/3.29	    inference('demod', [status(thm)], ['2', '3', '3'])).
3.04/3.29	tff(zf_stmt_92, axiom,
3.04/3.29	  (![X_1:int]:
3.04/3.29	     (app_encode_app(int,$o,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,$o),
3.04/3.29	                                    ord_less_eq_int,
3.04/3.29	                                    app_encode_app(int,int,
3.04/3.29	                                                   number_number_of_int,X_1)),
3.04/3.29	                     one_one_int) <=>
3.04/3.29	      app_encode_app(int,$o,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,$o),
3.04/3.29	                                    ord_less_eq_int,X_1),
3.04/3.29	                     app_encode_app(int,int,bit1,pls))))).
3.04/3.29	tff('5', plain,
3.04/3.29	    ![X111 : int]:
3.04/3.29	      (app_encode_app(int, $o, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	           app_encode_app(int, int, number_number_of_int, X111)), 
3.04/3.29	         one_one_int)
3.04/3.29	       | ~ app_encode_app(int, $o, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	               X111), app_encode_app(int, int, bit1, pls))),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_92])).
3.04/3.29	tff('6', plain,
3.04/3.29	    ![X111 : int]:
3.04/3.29	      (app_encode_app(int, $o, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X111), 
3.04/3.29	         one_one_int)
3.04/3.29	       | ~ app_encode_app(int, $o, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	               X111), app_encode_app(int, int, bit1, pls))),
3.04/3.29	    inference('demod', [status(thm)], ['5', '1'])).
3.04/3.29	tff(zf_stmt_52, axiom,
3.04/3.29	  (![W:int]:
3.04/3.29	     app_encode_app(int,$o,
3.04/3.29	                    app_encode_app(int,app_encode_fun(int,$o),
3.04/3.29	                                   ord_less_eq_int,W),
3.04/3.29	                    W))).
3.04/3.29	tff('7', plain,
3.04/3.29	    ![X19 : int]:
3.04/3.29	      app_encode_app(int, $o, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X19), 
3.04/3.29	        X19),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_52])).
3.04/3.29	tff('8', plain,
3.04/3.29	    ![X110 : int]:
3.04/3.29	      (app_encode_app(int, $o, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X110), 
3.04/3.29	         app_encode_app(int, int, bit1, pls))
3.04/3.29	       | ~ app_encode_app(int, $o, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	               app_encode_app(int, int, number_number_of_int, X110)), 
3.04/3.29	             one_one_int)),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_92])).
3.04/3.29	tff('9', plain,
3.04/3.29	    ![X110 : int]:
3.04/3.29	      (app_encode_app(int, $o, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X110), 
3.04/3.29	         app_encode_app(int, int, bit1, pls))
3.04/3.29	       | ~ app_encode_app(int, $o, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	               X110), one_one_int)),
3.04/3.29	    inference('demod', [status(thm)], ['8', '1'])).
3.04/3.29	tff('10', plain,
3.04/3.29	    (~ $true
3.04/3.29	     | app_encode_app(int, $o, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	           one_one_int), app_encode_app(int, int, bit1, pls))),
3.04/3.29	    inference('sup-', [status(thm)], ['7', '9'])).
3.04/3.29	tff('11', plain,
3.04/3.29	    app_encode_app(int, $o, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	        one_one_int), app_encode_app(int, int, bit1, pls)),
3.04/3.29	    inference('simplify', [status(thm)], ['10'])).
3.04/3.29	tff(zf_stmt_61, axiom,
3.04/3.29	  (![Z:int,W:int]:
3.04/3.29	     (app_encode_app(int,$o,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,$o),
3.04/3.29	                                    ord_less_eq_int,Z),
3.04/3.29	                     W) =>
3.04/3.29	      (app_encode_app(int,$o,
3.04/3.29	                      app_encode_app(int,app_encode_fun(int,$o),
3.04/3.29	                                     ord_less_eq_int,W),
3.04/3.29	                      Z) =>
3.04/3.29	       (Z = W))))).
3.04/3.29	tff('12', plain,
3.04/3.29	    ![X39 : int, X40 : int]:
3.04/3.29	      (~ app_encode_app(int, $o, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X39), 
3.04/3.29	           X40)
3.04/3.29	       | X40 = X39
3.04/3.29	       | ~ app_encode_app(int, $o, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	               X40), X39)),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_61])).
3.04/3.29	tff('13', plain,
3.04/3.29	    (~ $true
3.04/3.29	     | ~ app_encode_app(int, $o, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	             app_encode_app(int, int, bit1, pls)), one_one_int)
3.04/3.29	     | app_encode_app(int, int, bit1, pls) = one_one_int),
3.04/3.29	    inference('sup-', [status(thm)], ['11', '12'])).
3.04/3.29	tff('14', plain,
3.04/3.29	    (app_encode_app(int, int, bit1, pls) = one_one_int
3.04/3.29	     | ~ app_encode_app(int, $o, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	             app_encode_app(int, int, bit1, pls)), one_one_int)),
3.04/3.29	    inference('simplify', [status(thm)], ['13'])).
3.04/3.29	tff('15', plain,
3.04/3.29	    (~ $true
3.04/3.29	     | ~ app_encode_app(int, $o, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.04/3.29	             app_encode_app(int, int, bit1, pls)), 
3.04/3.29	           app_encode_app(int, int, bit1, pls))
3.04/3.29	     | app_encode_app(int, int, bit1, pls) = one_one_int),
3.04/3.29	    inference('sup-', [status(thm)], ['6', '14'])).
3.04/3.29	tff('16', plain,
3.04/3.29	    (~ $true | ~ $true | app_encode_app(int, int, bit1, pls) = one_one_int),
3.04/3.29	    inference('demod', [status(thm)], ['15', '7'])).
3.04/3.29	tff('17', plain, app_encode_app(int, int, bit1, pls) = one_one_int,
3.04/3.29	    inference('simplify', [status(thm)], ['16'])).
3.04/3.29	tff(zf_stmt_96, axiom,
3.04/3.29	  (![K_1:int,L_1:int]:
3.04/3.29	     (app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    times_times_int,
3.04/3.29	                                    app_encode_app(int,int,bit0,K_1)),
3.04/3.29	                     L_1) =
3.04/3.29	      app_encode_app(int,int,bit0,
3.04/3.29	                     app_encode_app(int,int,
3.04/3.29	                                    app_encode_app(int,
3.04/3.29	                                                   app_encode_fun(int,int),
3.04/3.29	                                                   times_times_int,K_1),
3.04/3.29	                                    L_1))))).
3.04/3.29	tff('18', plain,
3.04/3.29	    ![X115 : int, X116 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	          app_encode_app(int, int, bit0, X115)), X116)
3.04/3.29	       = app_encode_app(int, int, bit0, 
3.04/3.29	           app_encode_app(int, int, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	               X115), X116)),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_96])).
3.04/3.29	tff(zf_stmt_99, axiom,
3.04/3.29	  (![Z:int]:
3.04/3.29	     (app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    times_times_int,one_one_int),
3.04/3.29	                     Z) =
3.04/3.29	      Z))).
3.04/3.29	tff('19', plain,
3.04/3.29	    ![X121 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	          one_one_int), X121)
3.04/3.29	       = X121,
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_99])).
3.04/3.29	tff(zf_stmt_2, axiom,
3.04/3.29	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
3.04/3.29	     ((![Z:Alpha]:
3.04/3.29	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
3.04/3.29	      (X = Y)))).
3.04/3.29	tff('20', plain,
3.04/3.29	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
3.04/3.29	      X3 : app_encode_fun(X0, X1)]:
3.04/3.29	      (X3 = X2
3.04/3.29	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
3.04/3.29	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_2])).
3.04/3.29	tff('21', plain,
3.04/3.29	    ![X0 : app_encode_fun(int, int)]:
3.04/3.29	      (sk_Z(int, int, X0, number_number_of_int)
3.04/3.29	        != app_encode_app(int, int, X0, 
3.04/3.29	             sk_Z(int, int, X0, number_number_of_int))
3.04/3.29	       | number_number_of_int = X0),
3.04/3.29	    inference('sup-', [status(thm)], ['1', '20'])).
3.04/3.29	tff('22', plain,
3.04/3.29	    (sk_Z(int, int, 
3.04/3.29	       app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	         one_one_int), number_number_of_int)
3.04/3.29	      != sk_Z(int, int, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	             one_one_int), number_number_of_int)
3.04/3.29	     | number_number_of_int
3.04/3.29	        = app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	            one_one_int)),
3.04/3.29	    inference('sup-', [status(thm)], ['19', '21'])).
3.04/3.29	tff('23', plain,
3.04/3.29	    number_number_of_int
3.04/3.29	     = app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	         one_one_int),
3.04/3.29	    inference('simplify', [status(thm)], ['22'])).
3.04/3.29	tff('24', plain,
3.04/3.29	    number_number_of_int
3.04/3.29	     = app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	         app_encode_app(int, int, bit1, pls)),
3.04/3.29	    inference('demod', [status(thm)], ['23', '17'])).
3.04/3.29	tff('25', plain,
3.04/3.29	    app_encode_app(int, int, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	        app_encode_app(int, int, bit1, pls)), 
3.04/3.29	      app_encode_app(nat, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
3.04/3.29	        app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
3.04/3.29	     = app_encode_app(int, int, 
3.04/3.29	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	           app_encode_app(int, int, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	               app_encode_app(int, int, bit1, pls)), 
3.04/3.29	             app_encode_app(int, int, bit0, 
3.04/3.29	               app_encode_app(int, int, bit0, m)))), t),
3.04/3.29	    inference('demod', [status(thm)],
3.04/3.29	              ['4', '17', '17', '18', '18', '24', '1'])).
3.04/3.29	tff(zf_stmt_42, axiom,
3.04/3.29	  (app_encode_app(nat,int,
3.04/3.29	                  app_encode_app(int,app_encode_fun(nat,int),power_power_int,
3.04/3.29	                                 one_one_int),
3.04/3.29	                  app_encode_app(int,nat,number_number_of_nat,
3.04/3.29	                                 app_encode_app(int,int,bit0,
3.04/3.29	                                                app_encode_app(int,int,bit1,
3.04/3.29	                                                               pls)))) =
3.04/3.29	   one_one_int)).
3.04/3.29	tff('26', plain,
3.04/3.29	    app_encode_app(nat, int, 
3.04/3.29	      app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.04/3.29	        one_one_int), 
3.04/3.29	      app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
3.04/3.29	     = one_one_int,
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_42])).
3.04/3.29	tff(zf_stmt_36, axiom,
3.04/3.29	  (![X:int,Y:int]:
3.04/3.29	     (~
3.04/3.29	       app_encode_app(int,$o,
3.04/3.29	                      app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
3.04/3.29	                                     app_encode_app(int,int,
3.04/3.29	                                                    app_encode_app(int,
3.04/3.29	                                                                   app_encode_fun(
3.04/3.29	                                                                   int,int),
3.04/3.29	                                                                   plus_plus_int,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   nat,int,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,
3.04/3.29	                                                                   app_encode_fun(
3.04/3.29	                                                                   nat,int),
3.04/3.29	                                                                   power_power_int,
3.04/3.29	                                                                   X),
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,nat,
3.04/3.29	                                                                   number_number_of_nat,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,int,
3.04/3.29	                                                                   bit0,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,int,
3.04/3.29	                                                                   bit1,pls))))),
3.04/3.29	                                                    app_encode_app(nat,int,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,
3.04/3.29	                                                                   app_encode_fun(
3.04/3.29	                                                                   nat,int),
3.04/3.29	                                                                   power_power_int,
3.04/3.29	                                                                   Y),
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,nat,
3.04/3.29	                                                                   number_number_of_nat,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,int,
3.04/3.29	                                                                   bit0,
3.04/3.29	                                                                   app_encode_app(
3.04/3.29	                                                                   int,int,
3.04/3.29	                                                                   bit1,pls)))))),
3.04/3.29	                      zero_zero_int)))).
3.04/3.29	tff('27', plain,
3.04/3.29	    ![X4 : int, X5 : int]:
3.04/3.29	      ~ app_encode_app(int, $o, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                app_encode_app(nat, int, 
3.04/3.29	                  app_encode_app(int, app_encode_fun(nat, int), 
3.04/3.29	                    power_power_int, X4), 
3.04/3.29	                  app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	                    app_encode_app(int, int, bit0, 
3.04/3.29	                      app_encode_app(int, int, bit1, pls))))), 
3.04/3.29	              app_encode_app(nat, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(nat, int), 
3.04/3.29	                  power_power_int, X5), 
3.04/3.29	                app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	                  app_encode_app(int, int, bit0, 
3.04/3.29	                    app_encode_app(int, int, bit1, pls)))))), zero_zero_int),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_36])).
3.04/3.29	tff(zf_stmt_134, axiom,
3.04/3.29	  (zero_zero_int = app_encode_app(int,int,number_number_of_int,pls))).
3.04/3.29	tff('28', plain,
3.04/3.29	    zero_zero_int = app_encode_app(int, int, number_number_of_int, pls),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_134])).
3.04/3.29	tff('29', plain, zero_zero_int = pls,
3.04/3.29	    inference('demod', [status(thm)], ['28', '1'])).
3.04/3.29	tff('30', plain,
3.04/3.29	    ![X4 : int, X5 : int]:
3.04/3.29	      ~ app_encode_app(int, $o, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                app_encode_app(nat, int, 
3.04/3.29	                  app_encode_app(int, app_encode_fun(nat, int), 
3.04/3.29	                    power_power_int, X4), 
3.04/3.29	                  app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	                    app_encode_app(int, int, bit0, 
3.04/3.29	                      app_encode_app(int, int, bit1, pls))))), 
3.04/3.29	              app_encode_app(nat, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(nat, int), 
3.04/3.29	                  power_power_int, X5), 
3.04/3.29	                app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	                  app_encode_app(int, int, bit0, 
3.04/3.29	                    app_encode_app(int, int, bit1, pls)))))), pls),
3.04/3.29	    inference('demod', [status(thm)], ['27', '29'])).
3.04/3.29	tff('31', plain,
3.04/3.29	    ![X0 : int]:
3.04/3.29	      ~ app_encode_app(int, $o, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                one_one_int), 
3.04/3.29	              app_encode_app(nat, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(nat, int), 
3.04/3.29	                  power_power_int, X0), 
3.04/3.29	                app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	                  app_encode_app(int, int, bit0, 
3.04/3.29	                    app_encode_app(int, int, bit1, pls)))))), pls),
3.04/3.29	    inference('sup-', [status(thm)], ['26', '30'])).
3.04/3.29	tff(zf_stmt_46, axiom,
3.04/3.29	  (![W_6:int]:
3.04/3.29	     (app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    plus_plus_int,one_one_int),
3.04/3.29	                     app_encode_app(int,int,number_number_of_int,W_6)) =
3.04/3.29	      app_encode_app(int,int,number_number_of_int,
3.04/3.29	                     app_encode_app(int,int,
3.04/3.29	                                    app_encode_app(int,
3.04/3.29	                                                   app_encode_fun(int,int),
3.04/3.29	                                                   plus_plus_int,
3.04/3.29	                                                   app_encode_app(int,int,
3.04/3.29	                                                                  bit1,pls)),
3.04/3.29	                                    W_6))))).
3.04/3.29	tff('32', plain,
3.04/3.29	    ![X17 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	          one_one_int), app_encode_app(int, int, number_number_of_int, X17))
3.04/3.29	       = app_encode_app(int, int, number_number_of_int, 
3.04/3.29	           app_encode_app(int, int, 
3.04/3.29	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	               app_encode_app(int, int, bit1, pls)), X17)),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_46])).
3.04/3.29	tff('33', plain,
3.04/3.29	    ![X17 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	          one_one_int), X17)
3.04/3.29	       = app_encode_app(int, int, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	             app_encode_app(int, int, bit1, pls)), X17),
3.04/3.29	    inference('demod', [status(thm)], ['32', '1', '1'])).
3.04/3.29	tff('34', plain,
3.04/3.29	    ![X0 : int]:
3.04/3.29	      ~ app_encode_app(int, $o, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                app_encode_app(int, int, bit1, pls)), 
3.04/3.29	              app_encode_app(nat, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(nat, int), 
3.04/3.29	                  power_power_int, X0), 
3.04/3.29	                app_encode_app(int, nat, number_number_of_nat, 
3.04/3.29	                  app_encode_app(int, int, bit0, 
3.04/3.29	                    app_encode_app(int, int, bit1, pls)))))), pls),
3.04/3.29	    inference('demod', [status(thm)], ['31', '33'])).
3.04/3.29	tff('35', plain,
3.04/3.29	    ~ app_encode_app(int, $o, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	          app_encode_app(int, int, 
3.04/3.29	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	              app_encode_app(int, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                  app_encode_app(int, int, bit1, pls)), 
3.04/3.29	                app_encode_app(int, int, bit0, 
3.04/3.29	                  app_encode_app(int, int, bit0, m)))), t)), pls),
3.04/3.29	    inference('sup-', [status(thm)], ['25', '34'])).
3.04/3.29	tff(zf_stmt_31, axiom,
3.04/3.29	  (app_encode_app(int,$o,
3.04/3.29	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
3.04/3.29	                                 app_encode_app(int,int,
3.04/3.29	                                                app_encode_app(int,
3.04/3.29	                                                               app_encode_fun(
3.04/3.29	                                                               int,int),
3.04/3.29	                                                               times_times_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,
3.04/3.29	                                                               app_encode_fun(
3.04/3.29	                                                               int,int),
3.04/3.29	                                                               plus_plus_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,
3.04/3.29	                                                               app_encode_fun(
3.04/3.29	                                                               int,int),
3.04/3.29	                                                               times_times_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,
3.04/3.29	                                                               number_number_of_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,bit0,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,bit0,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,bit1,
3.04/3.29	                                                               pls))))),m)),
3.04/3.29	                                                               one_one_int)),
3.04/3.29	                                                t)),
3.04/3.29	                  app_encode_app(int,int,
3.04/3.29	                                 app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                                times_times_int,
3.04/3.29	                                                app_encode_app(int,int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,
3.04/3.29	                                                               app_encode_fun(
3.04/3.29	                                                               int,int),
3.04/3.29	                                                               plus_plus_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,
3.04/3.29	                                                               app_encode_fun(
3.04/3.29	                                                               int,int),
3.04/3.29	                                                               times_times_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,
3.04/3.29	                                                               number_number_of_int,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,bit0,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,bit0,
3.04/3.29	                                                               app_encode_app(
3.04/3.29	                                                               int,int,bit1,
3.04/3.29	                                                               pls))))),m)),
3.04/3.29	                                                               one_one_int)),
3.04/3.29	                                 zero_zero_int)))).
3.04/3.29	tff('36', plain,
3.04/3.29	    app_encode_app(int, $o, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	        app_encode_app(int, int, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                app_encode_app(int, int, 
3.04/3.29	                  app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                    times_times_int, 
3.04/3.29	                    app_encode_app(int, int, number_number_of_int, 
3.04/3.29	                      app_encode_app(int, int, bit0, 
3.04/3.29	                        app_encode_app(int, int, bit0, 
3.04/3.29	                          app_encode_app(int, int, bit1, pls))))), m)), 
3.04/3.29	              one_one_int)), t)), 
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	          app_encode_app(int, int, 
3.04/3.29	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	              app_encode_app(int, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                  times_times_int, 
3.04/3.29	                  app_encode_app(int, int, number_number_of_int, 
3.04/3.29	                    app_encode_app(int, int, bit0, 
3.04/3.29	                      app_encode_app(int, int, bit0, 
3.04/3.29	                        app_encode_app(int, int, bit1, pls))))), m)), 
3.04/3.29	            one_one_int)), zero_zero_int)),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_31])).
3.04/3.29	tff(zf_stmt_54, axiom,
3.04/3.29	  (![Z:int,W:int]:
3.04/3.29	     (app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    times_times_int,Z),
3.04/3.29	                     W) =
3.04/3.29	      app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    times_times_int,W),
3.04/3.29	                     Z)))).
3.04/3.29	tff('37', plain,
3.04/3.29	    ![X21 : int, X22 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X22), 
3.04/3.29	        X21)
3.04/3.29	       = app_encode_app(int, int, 
3.04/3.29	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	             X21), X22),
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_54])).
3.04/3.29	tff(zf_stmt_95, axiom,
3.04/3.29	  (![W:int]:
3.04/3.29	     (app_encode_app(int,int,
3.04/3.29	                     app_encode_app(int,app_encode_fun(int,int),
3.04/3.29	                                    times_times_int,pls),
3.04/3.29	                     W) =
3.04/3.29	      pls))).
3.04/3.29	tff('38', plain,
3.04/3.29	    ![X114 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), times_times_int, pls), 
3.04/3.29	        X114)
3.04/3.29	       = pls,
3.04/3.29	    inference('cnf', [status(esa)], [zf_stmt_95])).
3.04/3.29	tff('39', plain,
3.04/3.29	    ![X0 : int]:
3.04/3.29	      app_encode_app(int, int, 
3.04/3.29	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
3.04/3.29	        pls)
3.04/3.29	       = pls,
3.04/3.29	    inference('sup+', [status(thm)], ['37', '38'])).
3.04/3.29	tff('40', plain,
3.04/3.29	    app_encode_app(int, $o, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	        app_encode_app(int, int, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                app_encode_app(int, int, 
3.04/3.29	                  app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                    times_times_int, 
3.04/3.29	                    app_encode_app(int, int, bit0, 
3.04/3.29	                      app_encode_app(int, int, bit0, 
3.04/3.29	                        app_encode_app(int, int, bit1, pls)))), m)), 
3.04/3.29	              one_one_int)), t)), pls),
3.04/3.29	    inference('demod', [status(thm)], ['36', '1', '1', '29', '39'])).
3.04/3.29	tff('41', plain,
3.04/3.29	    app_encode_app(int, $o, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	        app_encode_app(int, int, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                one_one_int), 
3.04/3.29	              app_encode_app(int, int, 
3.04/3.29	                app_encode_app(int, app_encode_fun(int, int), 
3.04/3.29	                  times_times_int, 
3.04/3.29	                  app_encode_app(int, int, bit0, 
3.04/3.29	                    app_encode_app(int, int, bit0, 
3.04/3.29	                      app_encode_app(int, int, bit1, pls)))), m))), t)), pls),
3.04/3.29	    inference('demod', [status(thm)], ['40', '3'])).
3.04/3.29	tff('42', plain,
3.04/3.29	    app_encode_app(int, $o, 
3.04/3.29	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.04/3.29	        app_encode_app(int, int, 
3.04/3.29	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.04/3.29	            app_encode_app(int, int, 
3.04/3.29	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.04/3.29	                app_encode_app(int, int, bit1, pls)), 
3.04/3.29	              app_encode_app(int, int, bit0, 
3.04/3.29	                app_encode_app(int, int, bit0, m)))), t)), pls),
3.04/3.29	    inference('demod', [status(thm)], ['41', '17', '18', '18', '24', '1'])).
3.04/3.29	tff('43', plain, ~ $true, inference('demod', [status(thm)], ['35', '42'])).
3.04/3.29	tff('44', plain, $false, inference('simplify', [status(thm)], ['43'])).
3.04/3.29	
3.04/3.29	% SZS output end Refutation
3.04/3.29	EOF
