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    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n144.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:49:08 CST 2018
1.38/1.57	% done 1239 iterations in 1.364s
1.38/1.57	% SZS status Theorem for 'stdin'
1.38/1.57	% SZS output start Refutation
1.38/1.57	tff(zf_stmt_31, axiom,
1.38/1.57	  (?[X1:int]:
1.38/1.57	     (app_encode_app(int,$o,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                    ord_less_eq(int),zero_zero(int)),
1.38/1.57	                     X1) & 
1.38/1.57	      app_encode_app(int,$o,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
1.38/1.57	                                    X1),
1.38/1.57	                     app_encode_app(int,int,
1.38/1.57	                                    app_encode_app(int,
1.38/1.57	                                                   app_encode_fun(int,int),
1.38/1.57	                                                   plus_plus(int),
1.38/1.57	                                                   app_encode_app(int,int,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,
1.38/1.57	                                                                  app_encode_fun(
1.38/1.57	                                                                  int,int),
1.38/1.57	                                                                  times_times(
1.38/1.57	                                                                  int),
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  number_number_of(
1.38/1.57	                                                                  int),
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  bit0,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  bit0,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  bit1,pls))))),
1.38/1.57	                                                                  m)),
1.38/1.57	                                    one_one(int))) & 
1.38/1.57	      app_encode_app(int,$o,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                    app_encode_app(int,
1.38/1.57	                                                   app_encode_fun(int,
1.38/1.57	                                                                  app_encode_fun(
1.38/1.57	                                                                  int,$o)),
1.38/1.57	                                                   zcong,s1),
1.38/1.57	                                    X1),
1.38/1.57	                     app_encode_app(int,int,
1.38/1.57	                                    app_encode_app(int,
1.38/1.57	                                                   app_encode_fun(int,int),
1.38/1.57	                                                   plus_plus(int),
1.38/1.57	                                                   app_encode_app(int,int,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,
1.38/1.57	                                                                  app_encode_fun(
1.38/1.57	                                                                  int,int),
1.38/1.57	                                                                  times_times(
1.38/1.57	                                                                  int),
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  number_number_of(
1.38/1.57	                                                                  int),
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  bit0,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  bit0,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,int,
1.38/1.57	                                                                  bit1,pls))))),
1.38/1.57	                                                                  m)),
1.38/1.57	                                    one_one(int))) & 
1.38/1.57	      (![Y1:int]:
1.38/1.57	         ((app_encode_app(int,$o,
1.38/1.57	                          app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                         ord_less_eq(int),zero_zero(int)),
1.38/1.57	                          Y1) & 
1.38/1.57	           app_encode_app(int,$o,
1.38/1.57	                          app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                         ord_less(int),Y1),
1.38/1.57	                          app_encode_app(int,int,
1.38/1.57	                                         app_encode_app(int,
1.38/1.57	                                                        app_encode_fun(
1.38/1.57	                                                        int,int),
1.38/1.57	                                                        plus_plus(int),
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,
1.38/1.57	                                                        app_encode_fun(
1.38/1.57	                                                        int,int),
1.38/1.57	                                                        times_times(int),
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,
1.38/1.57	                                                        number_number_of(int),
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,bit0,
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,bit0,
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,bit1,pls))))),
1.38/1.57	                                                        m)),
1.38/1.57	                                         one_one(int))) & 
1.38/1.57	           app_encode_app(int,$o,
1.38/1.57	                          app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                         app_encode_app(int,
1.38/1.57	                                                        app_encode_fun(
1.38/1.57	                                                        int,
1.38/1.57	                                                        app_encode_fun(
1.38/1.57	                                                        int,$o)),zcong,s1),
1.38/1.57	                                         Y1),
1.38/1.57	                          app_encode_app(int,int,
1.38/1.57	                                         app_encode_app(int,
1.38/1.57	                                                        app_encode_fun(
1.38/1.57	                                                        int,int),
1.38/1.57	                                                        plus_plus(int),
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,
1.38/1.57	                                                        app_encode_fun(
1.38/1.57	                                                        int,int),
1.38/1.57	                                                        times_times(int),
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,
1.38/1.57	                                                        number_number_of(int),
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,bit0,
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,bit0,
1.38/1.57	                                                        app_encode_app(
1.38/1.57	                                                        int,int,bit1,pls))))),
1.38/1.57	                                                        m)),
1.38/1.57	                                         one_one(int)))) =>
1.38/1.57	          (Y1 = X1)))))).
1.38/1.57	tff('0', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.38/1.57	          zcong, s1), sk_X1), 
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, 
1.38/1.57	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	              app_encode_app(int, int, number_number_of(int), 
1.38/1.57	                app_encode_app(int, int, bit0, 
1.38/1.57	                  app_encode_app(int, int, bit0, 
1.38/1.57	                    app_encode_app(int, int, bit1, pls))))), m)), 
1.38/1.57	        one_one(int))),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_31])).
1.38/1.57	tff(zf_stmt_92, axiom,
1.38/1.57	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
1.38/1.57	tff('1', plain,
1.38/1.57	    ![X147 : int]:
1.38/1.57	      app_encode_app(int, int, number_number_of(int), X147) = X147,
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_92])).
1.38/1.57	tff('2', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.38/1.57	          zcong, s1), sk_X1), 
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, 
1.38/1.57	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	              app_encode_app(int, int, bit0, 
1.38/1.57	                app_encode_app(int, int, bit0, 
1.38/1.57	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
1.38/1.57	    inference('demod', [status(thm)], ['0', '1'])).
1.38/1.57	tff(zf_stmt_99, axiom,
1.38/1.57	  (![K:int]:
1.38/1.57	     (app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    plus_plus(int),K),
1.38/1.57	                     pls) =
1.38/1.57	      K))).
1.38/1.57	tff('3', plain,
1.38/1.57	    ![X163 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X163), 
1.38/1.57	        pls)
1.38/1.57	       = X163,
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_99])).
1.38/1.57	tff(zf_stmt_122, axiom,
1.38/1.57	  (![K:int]:
1.38/1.57	     (app_encode_app(int,int,bit1,K) =
1.38/1.57	      app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    plus_plus(int),
1.38/1.57	                                    app_encode_app(int,int,
1.38/1.57	                                                   app_encode_app(int,
1.38/1.57	                                                                  app_encode_fun(
1.38/1.57	                                                                  int,int),
1.38/1.57	                                                                  plus_plus(
1.38/1.57	                                                                  int),
1.38/1.57	                                                                  one_one(
1.38/1.57	                                                                  int)),
1.38/1.57	                                                   K)),
1.38/1.57	                     K)))).
1.38/1.57	tff('4', plain,
1.38/1.57	    ![X213 : int]:
1.38/1.57	      app_encode_app(int, int, bit1, X213)
1.38/1.57	       = app_encode_app(int, int, 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	             app_encode_app(int, int, 
1.38/1.57	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	                 one_one(int)), X213)), X213),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_122])).
1.38/1.57	tff('5', plain,
1.38/1.57	    app_encode_app(int, int, bit1, pls)
1.38/1.57	     = app_encode_app(int, int, 
1.38/1.57	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	           one_one(int)), pls),
1.38/1.57	    inference('sup+', [status(thm)], ['3', '4'])).
1.38/1.57	tff('6', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
1.38/1.57	    inference('demod', [status(thm)], ['5', '3'])).
1.38/1.57	tff('7', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.38/1.57	          zcong, s1), sk_X1), 
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, 
1.38/1.57	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	              app_encode_app(int, int, bit0, 
1.38/1.57	                app_encode_app(int, int, bit0, one_one(int)))), m)), 
1.38/1.57	        one_one(int))),
1.38/1.57	    inference('demod', [status(thm)], ['2', '6'])).
1.38/1.57	tff(zf_stmt_64, axiom,
1.38/1.57	  (![L1:int,K:int]:
1.38/1.57	     (app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    times_times(int),
1.38/1.57	                                    app_encode_app(int,int,bit0,K)),
1.38/1.57	                     L1) =
1.38/1.57	      app_encode_app(int,int,bit0,
1.38/1.57	                     app_encode_app(int,int,
1.38/1.57	                                    app_encode_app(int,
1.38/1.57	                                                   app_encode_fun(int,int),
1.38/1.57	                                                   times_times(int),K),
1.38/1.57	                                    L1))))).
1.38/1.57	tff('8', plain,
1.38/1.57	    ![X73 : int, X74 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	          app_encode_app(int, int, bit0, X73)), X74)
1.38/1.57	       = app_encode_app(int, int, bit0, 
1.38/1.57	           app_encode_app(int, int, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	               X73), X74)),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_64])).
1.38/1.57	tff(zf_stmt_63, axiom,
1.38/1.57	  (![W:int]:
1.38/1.57	     (app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    times_times(int),pls),
1.38/1.57	                     W) =
1.38/1.57	      pls))).
1.38/1.57	tff('9', plain,
1.38/1.57	    ![X72 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.38/1.57	        X72)
1.38/1.57	       = pls,
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_63])).
1.38/1.57	tff(zf_stmt_90, axiom,
1.38/1.57	  (![L1:int,K:int]:
1.38/1.57	     (app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    times_times(int),
1.38/1.57	                                    app_encode_app(int,int,bit1,K)),
1.38/1.57	                     L1) =
1.38/1.57	      app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    plus_plus(int),
1.38/1.57	                                    app_encode_app(int,int,bit0,
1.38/1.57	                                                   app_encode_app(int,int,
1.38/1.57	                                                                  app_encode_app(
1.38/1.57	                                                                  int,
1.38/1.57	                                                                  app_encode_fun(
1.38/1.57	                                                                  int,int),
1.38/1.57	                                                                  times_times(
1.38/1.57	                                                                  int),K),L1))),
1.38/1.57	                     L1)))).
1.38/1.57	tff('10', plain,
1.38/1.57	    ![X141 : int, X142 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	          app_encode_app(int, int, bit1, X141)), X142)
1.38/1.57	       = app_encode_app(int, int, 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	             app_encode_app(int, int, bit0, 
1.38/1.57	               app_encode_app(int, int, 
1.38/1.57	                 app_encode_app(int, app_encode_fun(int, int), 
1.38/1.57	                   times_times(int), X141), X142))), X142),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_90])).
1.38/1.57	tff('11', plain,
1.38/1.57	    ![X0 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	          app_encode_app(int, int, bit1, pls)), X0)
1.38/1.57	       = app_encode_app(int, int, 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	             app_encode_app(int, int, bit0, pls)), X0),
1.38/1.57	    inference('sup+', [status(thm)], ['9', '10'])).
1.38/1.57	tff(zf_stmt_56, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.38/1.57	tff('12', plain, app_encode_app(int, int, bit0, pls) = pls,
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_56])).
1.38/1.57	tff(zf_stmt_100, axiom,
1.38/1.57	  (![K:int]:
1.38/1.57	     (app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    plus_plus(int),pls),
1.38/1.57	                     K) =
1.38/1.57	      K))).
1.38/1.57	tff('13', plain,
1.38/1.57	    ![X164 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.38/1.57	        X164)
1.38/1.57	       = X164,
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_100])).
1.38/1.57	tff('14', plain,
1.38/1.57	    ![X0 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	          one_one(int)), X0)
1.38/1.57	       = X0,
1.38/1.57	    inference('demod', [status(thm)], ['11', '6', '12', '13'])).
1.38/1.57	tff(zf_stmt_2, axiom,
1.38/1.57	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
1.38/1.57	     ((![Z:Alpha]:
1.38/1.57	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
1.38/1.57	      (X = Y)))).
1.38/1.57	tff('15', plain,
1.38/1.57	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
1.38/1.57	      X3 : app_encode_fun(X0, X1)]:
1.38/1.57	      (X3 = X2
1.38/1.57	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
1.38/1.57	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_2])).
1.38/1.57	tff('16', plain,
1.38/1.57	    ![X0 : app_encode_fun(int, int)]:
1.38/1.57	      (app_encode_app(int, int, X0, 
1.38/1.57	         sk_Z(int, int, number_number_of(int), X0))
1.38/1.57	        != sk_Z(int, int, number_number_of(int), X0)
1.38/1.57	       | X0 = number_number_of(int)),
1.38/1.57	    inference('sup-', [status(thm)], ['1', '15'])).
1.38/1.57	tff('17', plain,
1.38/1.57	    (sk_Z(int, int, number_number_of(int), 
1.38/1.57	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	         one_one(int)))
1.38/1.57	      != sk_Z(int, int, number_number_of(int), 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	             one_one(int)))
1.38/1.57	     | app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	         one_one(int))
1.38/1.57	        = number_number_of(int)),
1.38/1.57	    inference('sup-', [status(thm)], ['14', '16'])).
1.38/1.57	tff('18', plain,
1.38/1.57	    app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	      one_one(int))
1.38/1.57	     = number_number_of(int),
1.38/1.57	    inference('simplify', [status(thm)], ['17'])).
1.38/1.57	tff(zf_stmt_84, axiom,
1.38/1.57	  (![L1:int,K:int]:
1.38/1.57	     (app_encode_app(int,int,
1.38/1.57	                     app_encode_app(int,app_encode_fun(int,int),
1.38/1.57	                                    plus_plus(int),
1.38/1.57	                                    app_encode_app(int,int,bit0,K)),
1.38/1.57	                     app_encode_app(int,int,bit1,L1)) =
1.38/1.57	      app_encode_app(int,int,bit1,
1.38/1.57	                     app_encode_app(int,int,
1.38/1.57	                                    app_encode_app(int,
1.38/1.57	                                                   app_encode_fun(int,int),
1.38/1.57	                                                   plus_plus(int),K),
1.38/1.57	                                    L1))))).
1.38/1.57	tff('19', plain,
1.38/1.57	    ![X128 : int, X129 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, bit0, X128)), 
1.38/1.57	        app_encode_app(int, int, bit1, X129))
1.38/1.57	       = app_encode_app(int, int, bit1, 
1.38/1.57	           app_encode_app(int, int, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	               X128), X129)),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_84])).
1.38/1.57	tff('20', plain,
1.38/1.57	    ![X0 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.38/1.57	       = app_encode_app(int, int, bit1, 
1.38/1.57	           app_encode_app(int, int, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	               X0), pls)),
1.38/1.57	    inference('sup+', [status(thm)], ['6', '19'])).
1.38/1.57	tff('21', plain,
1.38/1.57	    ![X0 : int]:
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.38/1.57	       = app_encode_app(int, int, bit1, X0),
1.38/1.57	    inference('demod', [status(thm)], ['20', '3'])).
1.38/1.57	tff('22', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.38/1.57	          zcong, s1), sk_X1), 
1.38/1.57	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
1.38/1.57	    inference('demod', [status(thm)], ['7', '8', '8', '18', '1', '21'])).
1.38/1.57	tff(zf_stmt_140, axiom,
1.38/1.57	  (![S:int]:
1.38/1.57	     ((app_encode_app(int,$o,
1.38/1.57	                      app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                     ord_less_eq(int),zero_zero(int)),
1.38/1.57	                      S) & 
1.38/1.57	       app_encode_app(int,$o,
1.38/1.57	                      app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                     ord_less(int),S),
1.38/1.57	                      app_encode_app(int,int,
1.38/1.57	                                     app_encode_app(int,
1.38/1.57	                                                    app_encode_fun(int,int),
1.38/1.57	                                                    plus_plus(int),
1.38/1.57	                                                    app_encode_app(int,int,
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,
1.38/1.57	                                                                   app_encode_fun(
1.38/1.57	                                                                   int,int),
1.38/1.57	                                                                   times_times(
1.38/1.57	                                                                   int),
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   number_number_of(
1.38/1.57	                                                                   int),
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   bit0,
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   bit0,
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   bit1,pls))))),
1.38/1.57	                                                                   m)),
1.38/1.57	                                     one_one(int))) & 
1.38/1.57	       app_encode_app(int,$o,
1.38/1.57	                      app_encode_app(int,app_encode_fun(int,$o),
1.38/1.57	                                     app_encode_app(int,
1.38/1.57	                                                    app_encode_fun(int,
1.38/1.57	                                                                   app_encode_fun(
1.38/1.57	                                                                   int,$o)),
1.38/1.57	                                                    zcong,s1),
1.38/1.57	                                     S),
1.38/1.57	                      app_encode_app(int,int,
1.38/1.57	                                     app_encode_app(int,
1.38/1.57	                                                    app_encode_fun(int,int),
1.38/1.57	                                                    plus_plus(int),
1.38/1.57	                                                    app_encode_app(int,int,
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,
1.38/1.57	                                                                   app_encode_fun(
1.38/1.57	                                                                   int,int),
1.38/1.57	                                                                   times_times(
1.38/1.57	                                                                   int),
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   number_number_of(
1.38/1.57	                                                                   int),
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   bit0,
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   bit0,
1.38/1.57	                                                                   app_encode_app(
1.38/1.57	                                                                   int,int,
1.38/1.57	                                                                   bit1,pls))))),
1.38/1.57	                                                                   m)),
1.38/1.57	                                     one_one(int)))) =>
1.38/1.57	      thesis))).
1.38/1.57	tff('23', plain,
1.38/1.57	    ![X226 : int]:
1.38/1.57	      (thesis
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.38/1.57	               zero_zero(int)), X226)
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
1.38/1.57	               X226), 
1.38/1.57	             app_encode_app(int, int, 
1.38/1.57	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	                 app_encode_app(int, int, 
1.38/1.57	                   app_encode_app(int, app_encode_fun(int, int), 
1.38/1.57	                     times_times(int), 
1.38/1.57	                     app_encode_app(int, int, number_number_of(int), 
1.38/1.57	                       app_encode_app(int, int, bit0, 
1.38/1.57	                         app_encode_app(int, int, bit0, 
1.38/1.57	                           app_encode_app(int, int, bit1, pls))))), m)), 
1.38/1.57	               one_one(int)))
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	               app_encode_app(int, 
1.38/1.57	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
1.38/1.57	               X226), 
1.38/1.57	             app_encode_app(int, int, 
1.38/1.57	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	                 app_encode_app(int, int, 
1.38/1.57	                   app_encode_app(int, app_encode_fun(int, int), 
1.38/1.57	                     times_times(int), 
1.38/1.57	                     app_encode_app(int, int, number_number_of(int), 
1.38/1.57	                       app_encode_app(int, int, bit0, 
1.38/1.57	                         app_encode_app(int, int, bit0, 
1.38/1.57	                           app_encode_app(int, int, bit1, pls))))), m)), 
1.38/1.57	               one_one(int)))),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_140])).
1.38/1.57	tff(zf_stmt_93, axiom, (pls = zero_zero(int))).
1.38/1.57	tff('24', plain, pls = zero_zero(int),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_93])).
1.38/1.57	tff('25', plain,
1.38/1.57	    ![X226 : int]:
1.38/1.57	      (thesis
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.38/1.57	               pls), X226)
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
1.38/1.57	               X226), 
1.38/1.57	             app_encode_app(int, int, bit1, 
1.38/1.57	               app_encode_app(int, int, bit0, m)))
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	               app_encode_app(int, 
1.38/1.57	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
1.38/1.57	               X226), 
1.38/1.57	             app_encode_app(int, int, bit1, 
1.38/1.57	               app_encode_app(int, int, bit0, m)))),
1.38/1.57	    inference('demod', [status(thm)],
1.38/1.57	              ['23', '24', '6', '1', '8', '8', '18', '1', '21', '6', '1', 
1.38/1.57	               '8', '8', '18', '1', '21'])).
1.38/1.57	tff(zf_stmt_141, conjecture, (thesis)).
1.38/1.57	tff(zf_stmt_0, negated_conjecture, (~thesis)).
1.38/1.57	tff('26', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
1.38/1.57	tff('27', plain,
1.38/1.57	    ![X226 : int]:
1.38/1.57	      (~ app_encode_app(int, $o, 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, $o), 
1.38/1.57	             app_encode_app(int, 
1.38/1.57	               app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
1.38/1.57	             X226), 
1.38/1.57	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
1.38/1.57	               X226), 
1.38/1.57	             app_encode_app(int, int, bit1, 
1.38/1.57	               app_encode_app(int, int, bit0, m)))
1.38/1.57	       | ~ app_encode_app(int, $o, 
1.38/1.57	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.38/1.57	               pls), X226)),
1.38/1.57	    inference('clc', [status(thm)], ['25', '26'])).
1.38/1.57	tff('28', plain,
1.38/1.57	    (~ $true
1.38/1.57	     | ~ app_encode_app(int, $o, 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.38/1.57	             pls), sk_X1)
1.38/1.57	     | ~ app_encode_app(int, $o, 
1.38/1.57	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.38/1.57	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))),
1.38/1.57	    inference('sup-', [status(thm)], ['22', '27'])).
1.38/1.57	tff('29', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.38/1.57	        zero_zero(int)), sk_X1),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_31])).
1.38/1.57	tff('30', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), pls), 
1.38/1.57	      sk_X1),
1.38/1.57	    inference('demod', [status(thm)], ['29', '24'])).
1.38/1.57	tff('31', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, 
1.38/1.57	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	              app_encode_app(int, int, number_number_of(int), 
1.38/1.57	                app_encode_app(int, int, bit0, 
1.38/1.57	                  app_encode_app(int, int, bit0, 
1.38/1.57	                    app_encode_app(int, int, bit1, pls))))), m)), 
1.38/1.57	        one_one(int))),
1.38/1.57	    inference('cnf', [status(esa)], [zf_stmt_31])).
1.38/1.57	tff('32', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, 
1.38/1.57	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	              app_encode_app(int, int, bit0, 
1.38/1.57	                app_encode_app(int, int, bit0, 
1.38/1.57	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
1.38/1.57	    inference('demod', [status(thm)], ['31', '1'])).
1.38/1.57	tff('33', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.38/1.57	      app_encode_app(int, int, 
1.38/1.57	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.38/1.57	          app_encode_app(int, int, 
1.38/1.57	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.38/1.57	              app_encode_app(int, int, bit0, 
1.38/1.57	                app_encode_app(int, int, bit0, one_one(int)))), m)), 
1.38/1.57	        one_one(int))),
1.38/1.57	    inference('demod', [status(thm)], ['32', '6'])).
1.38/1.57	tff('34', plain,
1.38/1.57	    app_encode_app(int, $o, 
1.38/1.57	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.38/1.57	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
1.38/1.57	    inference('demod', [status(thm)], ['33', '8', '8', '14', '21'])).
1.38/1.57	tff('35', plain, (~ $true | ~ $true | ~ $true),
1.38/1.57	    inference('demod', [status(thm)], ['28', '30', '34'])).
1.38/1.57	tff('36', plain, $false, inference('simplify', [status(thm)], ['35'])).
1.38/1.57	
1.38/1.57	% SZS output end Refutation
1.38/1.57	EOF
