0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n058.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:49:08 CST 2018
1.20/1.43	% done 1109 iterations in 1.216s
1.20/1.43	% SZS status Theorem for 'stdin'
1.20/1.43	% SZS output start Refutation
1.20/1.43	tff(zf_stmt_30, axiom,
1.20/1.43	  (?[X1:int]:
1.20/1.43	     (app_encode_app(int,$o,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                    ord_less_eq(int),zero_zero(int)),
1.20/1.43	                     X1) & 
1.20/1.43	      app_encode_app(int,$o,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
1.20/1.43	                                    X1),
1.20/1.43	                     app_encode_app(int,int,
1.20/1.43	                                    app_encode_app(int,
1.20/1.43	                                                   app_encode_fun(int,int),
1.20/1.43	                                                   plus_plus(int),
1.20/1.43	                                                   app_encode_app(int,int,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,
1.20/1.43	                                                                  app_encode_fun(
1.20/1.43	                                                                  int,int),
1.20/1.43	                                                                  times_times(
1.20/1.43	                                                                  int),
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  number_number_of(
1.20/1.43	                                                                  int),
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  bit0,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  bit0,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  bit1,pls))))),
1.20/1.43	                                                                  m)),
1.20/1.43	                                    one_one(int))) & 
1.20/1.43	      app_encode_app(int,$o,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                    app_encode_app(int,
1.20/1.43	                                                   app_encode_fun(int,
1.20/1.43	                                                                  app_encode_fun(
1.20/1.43	                                                                  int,$o)),
1.20/1.43	                                                   zcong,s1),
1.20/1.43	                                    X1),
1.20/1.43	                     app_encode_app(int,int,
1.20/1.43	                                    app_encode_app(int,
1.20/1.43	                                                   app_encode_fun(int,int),
1.20/1.43	                                                   plus_plus(int),
1.20/1.43	                                                   app_encode_app(int,int,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,
1.20/1.43	                                                                  app_encode_fun(
1.20/1.43	                                                                  int,int),
1.20/1.43	                                                                  times_times(
1.20/1.43	                                                                  int),
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  number_number_of(
1.20/1.43	                                                                  int),
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  bit0,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  bit0,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,int,
1.20/1.43	                                                                  bit1,pls))))),
1.20/1.43	                                                                  m)),
1.20/1.43	                                    one_one(int))) & 
1.20/1.43	      (![Y1:int]:
1.20/1.43	         ((app_encode_app(int,$o,
1.20/1.43	                          app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                         ord_less_eq(int),zero_zero(int)),
1.20/1.43	                          Y1) & 
1.20/1.43	           app_encode_app(int,$o,
1.20/1.43	                          app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                         ord_less(int),Y1),
1.20/1.43	                          app_encode_app(int,int,
1.20/1.43	                                         app_encode_app(int,
1.20/1.43	                                                        app_encode_fun(
1.20/1.43	                                                        int,int),
1.20/1.43	                                                        plus_plus(int),
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,
1.20/1.43	                                                        app_encode_fun(
1.20/1.43	                                                        int,int),
1.20/1.43	                                                        times_times(int),
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,
1.20/1.43	                                                        number_number_of(int),
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,bit0,
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,bit0,
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,bit1,pls))))),
1.20/1.43	                                                        m)),
1.20/1.43	                                         one_one(int))) & 
1.20/1.43	           app_encode_app(int,$o,
1.20/1.43	                          app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                         app_encode_app(int,
1.20/1.43	                                                        app_encode_fun(
1.20/1.43	                                                        int,
1.20/1.43	                                                        app_encode_fun(
1.20/1.43	                                                        int,$o)),zcong,s1),
1.20/1.43	                                         Y1),
1.20/1.43	                          app_encode_app(int,int,
1.20/1.43	                                         app_encode_app(int,
1.20/1.43	                                                        app_encode_fun(
1.20/1.43	                                                        int,int),
1.20/1.43	                                                        plus_plus(int),
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,
1.20/1.43	                                                        app_encode_fun(
1.20/1.43	                                                        int,int),
1.20/1.43	                                                        times_times(int),
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,
1.20/1.43	                                                        number_number_of(int),
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,bit0,
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,bit0,
1.20/1.43	                                                        app_encode_app(
1.20/1.43	                                                        int,int,bit1,pls))))),
1.20/1.43	                                                        m)),
1.20/1.43	                                         one_one(int)))) =>
1.20/1.43	          (Y1 = X1)))))).
1.20/1.43	tff('0', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.20/1.43	          zcong, s1), sk_X1), 
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, 
1.20/1.43	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	              app_encode_app(int, int, number_number_of(int), 
1.20/1.43	                app_encode_app(int, int, bit0, 
1.20/1.43	                  app_encode_app(int, int, bit0, 
1.20/1.43	                    app_encode_app(int, int, bit1, pls))))), m)), 
1.20/1.43	        one_one(int))),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_30])).
1.20/1.43	tff(zf_stmt_91, axiom,
1.20/1.43	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
1.20/1.43	tff('1', plain,
1.20/1.43	    ![X143 : int]:
1.20/1.43	      app_encode_app(int, int, number_number_of(int), X143) = X143,
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_91])).
1.20/1.43	tff('2', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.20/1.43	          zcong, s1), sk_X1), 
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, 
1.20/1.43	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	              app_encode_app(int, int, bit0, 
1.20/1.43	                app_encode_app(int, int, bit0, 
1.20/1.43	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
1.20/1.43	    inference('demod', [status(thm)], ['0', '1'])).
1.20/1.43	tff(zf_stmt_98, axiom,
1.20/1.43	  (![K:int]:
1.20/1.43	     (app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    plus_plus(int),K),
1.20/1.43	                     pls) =
1.20/1.43	      K))).
1.20/1.43	tff('3', plain,
1.20/1.43	    ![X159 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X159), 
1.20/1.43	        pls)
1.20/1.43	       = X159,
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_98])).
1.20/1.43	tff(zf_stmt_121, axiom,
1.20/1.43	  (![K:int]:
1.20/1.43	     (app_encode_app(int,int,bit1,K) =
1.20/1.43	      app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    plus_plus(int),
1.20/1.43	                                    app_encode_app(int,int,
1.20/1.43	                                                   app_encode_app(int,
1.20/1.43	                                                                  app_encode_fun(
1.20/1.43	                                                                  int,int),
1.20/1.43	                                                                  plus_plus(
1.20/1.43	                                                                  int),
1.20/1.43	                                                                  one_one(
1.20/1.43	                                                                  int)),
1.20/1.43	                                                   K)),
1.20/1.43	                     K)))).
1.20/1.43	tff('4', plain,
1.20/1.43	    ![X209 : int]:
1.20/1.43	      app_encode_app(int, int, bit1, X209)
1.20/1.43	       = app_encode_app(int, int, 
1.20/1.43	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	             app_encode_app(int, int, 
1.20/1.43	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	                 one_one(int)), X209)), X209),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_121])).
1.20/1.43	tff('5', plain,
1.20/1.43	    app_encode_app(int, int, bit1, pls)
1.20/1.43	     = app_encode_app(int, int, 
1.20/1.43	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	           one_one(int)), pls),
1.20/1.43	    inference('sup+', [status(thm)], ['3', '4'])).
1.20/1.43	tff('6', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
1.20/1.43	    inference('demod', [status(thm)], ['5', '3'])).
1.20/1.43	tff(zf_stmt_63, axiom,
1.20/1.43	  (![L1:int,K:int]:
1.20/1.43	     (app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    times_times(int),
1.20/1.43	                                    app_encode_app(int,int,bit0,K)),
1.20/1.43	                     L1) =
1.20/1.43	      app_encode_app(int,int,bit0,
1.20/1.43	                     app_encode_app(int,int,
1.20/1.43	                                    app_encode_app(int,
1.20/1.43	                                                   app_encode_fun(int,int),
1.20/1.43	                                                   times_times(int),K),
1.20/1.43	                                    L1))))).
1.20/1.43	tff('7', plain,
1.20/1.43	    ![X69 : int, X70 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	          app_encode_app(int, int, bit0, X69)), X70)
1.20/1.43	       = app_encode_app(int, int, bit0, 
1.20/1.43	           app_encode_app(int, int, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	               X69), X70)),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_63])).
1.20/1.43	tff(zf_stmt_62, axiom,
1.20/1.43	  (![W:int]:
1.20/1.43	     (app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    times_times(int),pls),
1.20/1.43	                     W) =
1.20/1.43	      pls))).
1.20/1.43	tff('8', plain,
1.20/1.43	    ![X68 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.20/1.43	        X68)
1.20/1.43	       = pls,
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_62])).
1.20/1.43	tff(zf_stmt_89, axiom,
1.20/1.43	  (![L1:int,K:int]:
1.20/1.43	     (app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    times_times(int),
1.20/1.43	                                    app_encode_app(int,int,bit1,K)),
1.20/1.43	                     L1) =
1.20/1.43	      app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    plus_plus(int),
1.20/1.43	                                    app_encode_app(int,int,bit0,
1.20/1.43	                                                   app_encode_app(int,int,
1.20/1.43	                                                                  app_encode_app(
1.20/1.43	                                                                  int,
1.20/1.43	                                                                  app_encode_fun(
1.20/1.43	                                                                  int,int),
1.20/1.43	                                                                  times_times(
1.20/1.43	                                                                  int),K),L1))),
1.20/1.43	                     L1)))).
1.20/1.43	tff('9', plain,
1.20/1.43	    ![X137 : int, X138 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	          app_encode_app(int, int, bit1, X137)), X138)
1.20/1.43	       = app_encode_app(int, int, 
1.20/1.43	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	             app_encode_app(int, int, bit0, 
1.20/1.43	               app_encode_app(int, int, 
1.20/1.43	                 app_encode_app(int, app_encode_fun(int, int), 
1.20/1.43	                   times_times(int), X137), X138))), X138),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_89])).
1.20/1.43	tff('10', plain,
1.20/1.43	    ![X0 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	          app_encode_app(int, int, bit1, pls)), X0)
1.20/1.43	       = app_encode_app(int, int, 
1.20/1.43	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	             app_encode_app(int, int, bit0, pls)), X0),
1.20/1.43	    inference('sup+', [status(thm)], ['8', '9'])).
1.20/1.43	tff(zf_stmt_55, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.20/1.43	tff('11', plain, app_encode_app(int, int, bit0, pls) = pls,
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_55])).
1.20/1.43	tff(zf_stmt_99, axiom,
1.20/1.43	  (![K:int]:
1.20/1.43	     (app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    plus_plus(int),pls),
1.20/1.43	                     K) =
1.20/1.43	      K))).
1.20/1.43	tff('12', plain,
1.20/1.43	    ![X160 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.20/1.43	        X160)
1.20/1.43	       = X160,
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_99])).
1.20/1.43	tff('13', plain,
1.20/1.43	    ![X0 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	          one_one(int)), X0)
1.20/1.43	       = X0,
1.20/1.43	    inference('demod', [status(thm)], ['10', '6', '11', '12'])).
1.20/1.43	tff(zf_stmt_83, axiom,
1.20/1.43	  (![L1:int,K:int]:
1.20/1.43	     (app_encode_app(int,int,
1.20/1.43	                     app_encode_app(int,app_encode_fun(int,int),
1.20/1.43	                                    plus_plus(int),
1.20/1.43	                                    app_encode_app(int,int,bit0,K)),
1.20/1.43	                     app_encode_app(int,int,bit1,L1)) =
1.20/1.43	      app_encode_app(int,int,bit1,
1.20/1.43	                     app_encode_app(int,int,
1.20/1.43	                                    app_encode_app(int,
1.20/1.43	                                                   app_encode_fun(int,int),
1.20/1.43	                                                   plus_plus(int),K),
1.20/1.43	                                    L1))))).
1.20/1.43	tff('14', plain,
1.20/1.43	    ![X124 : int, X125 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, bit0, X124)), 
1.20/1.43	        app_encode_app(int, int, bit1, X125))
1.20/1.43	       = app_encode_app(int, int, bit1, 
1.20/1.43	           app_encode_app(int, int, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	               X124), X125)),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_83])).
1.20/1.43	tff('15', plain,
1.20/1.43	    ![X0 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.20/1.43	       = app_encode_app(int, int, bit1, 
1.20/1.43	           app_encode_app(int, int, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	               X0), pls)),
1.20/1.43	    inference('sup+', [status(thm)], ['6', '14'])).
1.20/1.43	tff('16', plain,
1.20/1.43	    ![X0 : int]:
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.20/1.43	       = app_encode_app(int, int, bit1, X0),
1.20/1.43	    inference('demod', [status(thm)], ['15', '3'])).
1.20/1.43	tff('17', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.20/1.43	          zcong, s1), sk_X1), 
1.20/1.43	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
1.20/1.43	    inference('demod', [status(thm)], ['2', '6', '7', '7', '13', '16'])).
1.20/1.43	tff(zf_stmt_139, axiom,
1.20/1.43	  (![S:int]:
1.20/1.43	     ((app_encode_app(int,$o,
1.20/1.43	                      app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                     ord_less_eq(int),zero_zero(int)),
1.20/1.43	                      S) & 
1.20/1.43	       app_encode_app(int,$o,
1.20/1.43	                      app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                     ord_less(int),S),
1.20/1.43	                      app_encode_app(int,int,
1.20/1.43	                                     app_encode_app(int,
1.20/1.43	                                                    app_encode_fun(int,int),
1.20/1.43	                                                    plus_plus(int),
1.20/1.43	                                                    app_encode_app(int,int,
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,
1.20/1.43	                                                                   app_encode_fun(
1.20/1.43	                                                                   int,int),
1.20/1.43	                                                                   times_times(
1.20/1.43	                                                                   int),
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   number_number_of(
1.20/1.43	                                                                   int),
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   bit0,
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   bit0,
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   bit1,pls))))),
1.20/1.43	                                                                   m)),
1.20/1.43	                                     one_one(int))) & 
1.20/1.43	       app_encode_app(int,$o,
1.20/1.43	                      app_encode_app(int,app_encode_fun(int,$o),
1.20/1.43	                                     app_encode_app(int,
1.20/1.43	                                                    app_encode_fun(int,
1.20/1.43	                                                                   app_encode_fun(
1.20/1.43	                                                                   int,$o)),
1.20/1.43	                                                    zcong,s1),
1.20/1.43	                                     S),
1.20/1.43	                      app_encode_app(int,int,
1.20/1.43	                                     app_encode_app(int,
1.20/1.43	                                                    app_encode_fun(int,int),
1.20/1.43	                                                    plus_plus(int),
1.20/1.43	                                                    app_encode_app(int,int,
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,
1.20/1.43	                                                                   app_encode_fun(
1.20/1.43	                                                                   int,int),
1.20/1.43	                                                                   times_times(
1.20/1.43	                                                                   int),
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   number_number_of(
1.20/1.43	                                                                   int),
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   bit0,
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   bit0,
1.20/1.43	                                                                   app_encode_app(
1.20/1.43	                                                                   int,int,
1.20/1.43	                                                                   bit1,pls))))),
1.20/1.43	                                                                   m)),
1.20/1.43	                                     one_one(int)))) =>
1.20/1.43	      thesis))).
1.20/1.43	tff('18', plain,
1.20/1.43	    ![X222 : int]:
1.20/1.43	      (thesis
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.20/1.43	               zero_zero(int)), X222)
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
1.20/1.43	               X222), 
1.20/1.43	             app_encode_app(int, int, 
1.20/1.43	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	                 app_encode_app(int, int, 
1.20/1.43	                   app_encode_app(int, app_encode_fun(int, int), 
1.20/1.43	                     times_times(int), 
1.20/1.43	                     app_encode_app(int, int, number_number_of(int), 
1.20/1.43	                       app_encode_app(int, int, bit0, 
1.20/1.43	                         app_encode_app(int, int, bit0, 
1.20/1.43	                           app_encode_app(int, int, bit1, pls))))), m)), 
1.20/1.43	               one_one(int)))
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), 
1.20/1.43	               app_encode_app(int, 
1.20/1.43	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
1.20/1.43	               X222), 
1.20/1.43	             app_encode_app(int, int, 
1.20/1.43	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	                 app_encode_app(int, int, 
1.20/1.43	                   app_encode_app(int, app_encode_fun(int, int), 
1.20/1.43	                     times_times(int), 
1.20/1.43	                     app_encode_app(int, int, number_number_of(int), 
1.20/1.43	                       app_encode_app(int, int, bit0, 
1.20/1.43	                         app_encode_app(int, int, bit0, 
1.20/1.43	                           app_encode_app(int, int, bit1, pls))))), m)), 
1.20/1.43	               one_one(int)))),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_139])).
1.20/1.43	tff(zf_stmt_92, axiom, (pls = zero_zero(int))).
1.20/1.43	tff('19', plain, pls = zero_zero(int),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_92])).
1.20/1.43	tff('20', plain,
1.20/1.43	    ![X222 : int]:
1.20/1.43	      (thesis
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.20/1.43	               pls), X222)
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
1.20/1.43	               X222), 
1.20/1.43	             app_encode_app(int, int, bit1, 
1.20/1.43	               app_encode_app(int, int, bit0, m)))
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), 
1.20/1.43	               app_encode_app(int, 
1.20/1.43	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
1.20/1.43	               X222), 
1.20/1.43	             app_encode_app(int, int, bit1, 
1.20/1.43	               app_encode_app(int, int, bit0, m)))),
1.20/1.43	    inference('demod', [status(thm)],
1.20/1.43	              ['18', '19', '6', '1', '7', '7', '13', '16', '6', '1', '7', 
1.20/1.43	               '7', '13', '16'])).
1.20/1.43	tff(zf_stmt_140, conjecture, (thesis)).
1.20/1.43	tff(zf_stmt_0, negated_conjecture, (~thesis)).
1.20/1.43	tff('21', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
1.20/1.43	tff('22', plain,
1.20/1.43	    ![X222 : int]:
1.20/1.43	      (~ app_encode_app(int, $o, 
1.20/1.43	           app_encode_app(int, app_encode_fun(int, $o), 
1.20/1.43	             app_encode_app(int, 
1.20/1.43	               app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
1.20/1.43	             X222), 
1.20/1.43	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
1.20/1.43	               X222), 
1.20/1.43	             app_encode_app(int, int, bit1, 
1.20/1.43	               app_encode_app(int, int, bit0, m)))
1.20/1.43	       | ~ app_encode_app(int, $o, 
1.20/1.43	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.20/1.43	               pls), X222)),
1.20/1.43	    inference('clc', [status(thm)], ['20', '21'])).
1.20/1.43	tff('23', plain,
1.20/1.43	    (~ $true
1.20/1.43	     | ~ app_encode_app(int, $o, 
1.20/1.43	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.20/1.43	             pls), sk_X1)
1.20/1.43	     | ~ app_encode_app(int, $o, 
1.20/1.43	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.20/1.43	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))),
1.20/1.43	    inference('sup-', [status(thm)], ['17', '22'])).
1.20/1.43	tff('24', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.20/1.43	        zero_zero(int)), sk_X1),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_30])).
1.20/1.43	tff('25', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), pls), 
1.20/1.43	      sk_X1),
1.20/1.43	    inference('demod', [status(thm)], ['24', '19'])).
1.20/1.43	tff('26', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, 
1.20/1.43	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	              app_encode_app(int, int, number_number_of(int), 
1.20/1.43	                app_encode_app(int, int, bit0, 
1.20/1.43	                  app_encode_app(int, int, bit0, 
1.20/1.43	                    app_encode_app(int, int, bit1, pls))))), m)), 
1.20/1.43	        one_one(int))),
1.20/1.43	    inference('cnf', [status(esa)], [zf_stmt_30])).
1.20/1.43	tff('27', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, 
1.20/1.43	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	              app_encode_app(int, int, bit0, 
1.20/1.43	                app_encode_app(int, int, bit0, 
1.20/1.43	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
1.20/1.43	    inference('demod', [status(thm)], ['26', '1'])).
1.20/1.43	tff('28', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.20/1.43	      app_encode_app(int, int, 
1.20/1.43	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.20/1.43	          app_encode_app(int, int, 
1.20/1.43	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.20/1.43	              app_encode_app(int, int, bit0, 
1.20/1.43	                app_encode_app(int, int, bit0, one_one(int)))), m)), 
1.20/1.43	        one_one(int))),
1.20/1.43	    inference('demod', [status(thm)], ['27', '6'])).
1.20/1.43	tff('29', plain,
1.20/1.43	    app_encode_app(int, $o, 
1.20/1.43	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
1.20/1.43	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
1.20/1.43	    inference('demod', [status(thm)], ['28', '7', '7', '13', '16'])).
1.20/1.43	tff('30', plain, (~ $true | ~ $true | ~ $true),
1.20/1.43	    inference('demod', [status(thm)], ['23', '25', '29'])).
1.20/1.43	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
1.20/1.43	
1.20/1.43	% SZS output end Refutation
1.20/1.43	EOF
