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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n080.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:49:08 CST 2018
2.78/2.99	% done 1081 iterations in 2.794s
2.78/2.99	% SZS status Theorem for 'stdin'
2.78/2.99	% SZS output start Refutation
2.82/3.00	tff(zf_stmt_30, axiom,
2.82/3.00	  (?[X1:int]:
2.82/3.00	     (app_encode_app(int,$o,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                    ord_less_eq(int),zero_zero(int)),
2.82/3.00	                     X1) & 
2.82/3.00	      app_encode_app(int,$o,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
2.82/3.00	                                    X1),
2.82/3.00	                     app_encode_app(int,int,
2.82/3.00	                                    app_encode_app(int,
2.82/3.00	                                                   app_encode_fun(int,int),
2.82/3.00	                                                   plus_plus(int),
2.82/3.00	                                                   app_encode_app(int,int,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,
2.82/3.00	                                                                  app_encode_fun(
2.82/3.00	                                                                  int,int),
2.82/3.00	                                                                  times_times(
2.82/3.00	                                                                  int),
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  number_number_of(
2.82/3.00	                                                                  int),
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  bit0,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  bit0,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  bit1,pls))))),
2.82/3.00	                                                                  m)),
2.82/3.00	                                    one_one(int))) & 
2.82/3.00	      app_encode_app(int,$o,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                    app_encode_app(int,
2.82/3.00	                                                   app_encode_fun(int,
2.82/3.00	                                                                  app_encode_fun(
2.82/3.00	                                                                  int,$o)),
2.82/3.00	                                                   zcong,s1),
2.82/3.00	                                    X1),
2.82/3.00	                     app_encode_app(int,int,
2.82/3.00	                                    app_encode_app(int,
2.82/3.00	                                                   app_encode_fun(int,int),
2.82/3.00	                                                   plus_plus(int),
2.82/3.00	                                                   app_encode_app(int,int,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,
2.82/3.00	                                                                  app_encode_fun(
2.82/3.00	                                                                  int,int),
2.82/3.00	                                                                  times_times(
2.82/3.00	                                                                  int),
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  number_number_of(
2.82/3.00	                                                                  int),
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  bit0,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  bit0,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,int,
2.82/3.00	                                                                  bit1,pls))))),
2.82/3.00	                                                                  m)),
2.82/3.00	                                    one_one(int))) & 
2.82/3.00	      (![Y1:int]:
2.82/3.00	         ((app_encode_app(int,$o,
2.82/3.00	                          app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                         ord_less_eq(int),zero_zero(int)),
2.82/3.00	                          Y1) & 
2.82/3.00	           app_encode_app(int,$o,
2.82/3.00	                          app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                         ord_less(int),Y1),
2.82/3.00	                          app_encode_app(int,int,
2.82/3.00	                                         app_encode_app(int,
2.82/3.00	                                                        app_encode_fun(
2.82/3.00	                                                        int,int),
2.82/3.00	                                                        plus_plus(int),
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,
2.82/3.00	                                                        app_encode_fun(
2.82/3.00	                                                        int,int),
2.82/3.00	                                                        times_times(int),
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,
2.82/3.00	                                                        number_number_of(int),
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,bit0,
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,bit0,
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,bit1,pls))))),
2.82/3.00	                                                        m)),
2.82/3.00	                                         one_one(int))) & 
2.82/3.00	           app_encode_app(int,$o,
2.82/3.00	                          app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                         app_encode_app(int,
2.82/3.00	                                                        app_encode_fun(
2.82/3.00	                                                        int,
2.82/3.00	                                                        app_encode_fun(
2.82/3.00	                                                        int,$o)),zcong,s1),
2.82/3.00	                                         Y1),
2.82/3.00	                          app_encode_app(int,int,
2.82/3.00	                                         app_encode_app(int,
2.82/3.00	                                                        app_encode_fun(
2.82/3.00	                                                        int,int),
2.82/3.00	                                                        plus_plus(int),
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,
2.82/3.00	                                                        app_encode_fun(
2.82/3.00	                                                        int,int),
2.82/3.00	                                                        times_times(int),
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,
2.82/3.00	                                                        number_number_of(int),
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,bit0,
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,bit0,
2.82/3.00	                                                        app_encode_app(
2.82/3.00	                                                        int,int,bit1,pls))))),
2.82/3.00	                                                        m)),
2.82/3.00	                                         one_one(int)))) =>
2.82/3.00	          (Y1 = X1)))))).
2.82/3.00	tff('0', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
2.82/3.00	          zcong, s1), sk_X1), 
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	          app_encode_app(int, int, 
2.82/3.00	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	              app_encode_app(int, int, number_number_of(int), 
2.82/3.00	                app_encode_app(int, int, bit0, 
2.82/3.00	                  app_encode_app(int, int, bit0, 
2.82/3.00	                    app_encode_app(int, int, bit1, pls))))), m)), 
2.82/3.00	        one_one(int))),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_30])).
2.82/3.00	tff(zf_stmt_91, axiom,
2.82/3.00	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
2.82/3.00	tff('1', plain,
2.82/3.00	    ![X143 : int]:
2.82/3.00	      app_encode_app(int, int, number_number_of(int), X143) = X143,
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_91])).
2.82/3.00	tff('2', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
2.82/3.00	          zcong, s1), sk_X1), 
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	          app_encode_app(int, int, 
2.82/3.00	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	              app_encode_app(int, int, bit0, 
2.82/3.00	                app_encode_app(int, int, bit0, 
2.82/3.00	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
2.82/3.00	    inference('demod', [status(thm)], ['0', '1'])).
2.82/3.00	tff(zf_stmt_63, axiom,
2.82/3.00	  (![L1:int,K:int]:
2.82/3.00	     (app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    times_times(int),
2.82/3.00	                                    app_encode_app(int,int,bit0,K)),
2.82/3.00	                     L1) =
2.82/3.00	      app_encode_app(int,int,bit0,
2.82/3.00	                     app_encode_app(int,int,
2.82/3.00	                                    app_encode_app(int,
2.82/3.00	                                                   app_encode_fun(int,int),
2.82/3.00	                                                   times_times(int),K),
2.82/3.00	                                    L1))))).
2.82/3.00	tff('3', plain,
2.82/3.00	    ![X69 : int, X70 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	          app_encode_app(int, int, bit0, X69)), X70)
2.82/3.00	       = app_encode_app(int, int, bit0, 
2.82/3.00	           app_encode_app(int, int, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	               X69), X70)),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_63])).
2.82/3.00	tff(zf_stmt_62, axiom,
2.82/3.00	  (![W:int]:
2.82/3.00	     (app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    times_times(int),pls),
2.82/3.00	                     W) =
2.82/3.00	      pls))).
2.82/3.00	tff('4', plain,
2.82/3.00	    ![X68 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
2.82/3.00	        X68)
2.82/3.00	       = pls,
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_62])).
2.82/3.00	tff(zf_stmt_89, axiom,
2.82/3.00	  (![L1:int,K:int]:
2.82/3.00	     (app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    times_times(int),
2.82/3.00	                                    app_encode_app(int,int,bit1,K)),
2.82/3.00	                     L1) =
2.82/3.00	      app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    plus_plus(int),
2.82/3.00	                                    app_encode_app(int,int,bit0,
2.82/3.00	                                                   app_encode_app(int,int,
2.82/3.00	                                                                  app_encode_app(
2.82/3.00	                                                                  int,
2.82/3.00	                                                                  app_encode_fun(
2.82/3.00	                                                                  int,int),
2.82/3.00	                                                                  times_times(
2.82/3.00	                                                                  int),K),L1))),
2.82/3.00	                     L1)))).
2.82/3.00	tff('5', plain,
2.82/3.00	    ![X137 : int, X138 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	          app_encode_app(int, int, bit1, X137)), X138)
2.82/3.00	       = app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             app_encode_app(int, int, bit0, 
2.82/3.00	               app_encode_app(int, int, 
2.82/3.00	                 app_encode_app(int, app_encode_fun(int, int), 
2.82/3.00	                   times_times(int), X137), X138))), X138),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_89])).
2.82/3.00	tff('6', plain,
2.82/3.00	    ![X0 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	          app_encode_app(int, int, bit1, pls)), X0)
2.82/3.00	       = app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             app_encode_app(int, int, bit0, pls)), X0),
2.82/3.00	    inference('sup+', [status(thm)], ['4', '5'])).
2.82/3.00	tff(zf_stmt_55, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
2.82/3.00	tff('7', plain, app_encode_app(int, int, bit0, pls) = pls,
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_55])).
2.82/3.00	tff(zf_stmt_99, axiom,
2.82/3.00	  (![K:int]:
2.82/3.00	     (app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    plus_plus(int),pls),
2.82/3.00	                     K) =
2.82/3.00	      K))).
2.82/3.00	tff('8', plain,
2.82/3.00	    ![X160 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
2.82/3.00	        X160)
2.82/3.00	       = X160,
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_99])).
2.82/3.00	tff('9', plain,
2.82/3.00	    ![X0 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	          app_encode_app(int, int, bit1, pls)), X0)
2.82/3.00	       = X0,
2.82/3.00	    inference('demod', [status(thm)], ['6', '7', '8'])).
2.82/3.00	tff(zf_stmt_98, axiom,
2.82/3.00	  (![K:int]:
2.82/3.00	     (app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    plus_plus(int),K),
2.82/3.00	                     pls) =
2.82/3.00	      K))).
2.82/3.00	tff('10', plain,
2.82/3.00	    ![X159 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X159), 
2.82/3.00	        pls)
2.82/3.00	       = X159,
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_98])).
2.82/3.00	tff(zf_stmt_121, axiom,
2.82/3.00	  (![K:int]:
2.82/3.00	     (app_encode_app(int,int,bit1,K) =
2.82/3.00	      app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    plus_plus(int),
2.82/3.00	                                    app_encode_app(int,int,
2.82/3.00	                                                   app_encode_app(int,
2.82/3.00	                                                                  app_encode_fun(
2.82/3.00	                                                                  int,int),
2.82/3.00	                                                                  plus_plus(
2.82/3.00	                                                                  int),
2.82/3.00	                                                                  one_one(
2.82/3.00	                                                                  int)),
2.82/3.00	                                                   K)),
2.82/3.00	                     K)))).
2.82/3.00	tff('11', plain,
2.82/3.00	    ![X209 : int]:
2.82/3.00	      app_encode_app(int, int, bit1, X209)
2.82/3.00	       = app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             app_encode_app(int, int, 
2.82/3.00	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	                 one_one(int)), X209)), X209),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_121])).
2.82/3.00	tff('12', plain,
2.82/3.00	    app_encode_app(int, int, bit1, pls)
2.82/3.00	     = app_encode_app(int, int, 
2.82/3.00	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	           one_one(int)), pls),
2.82/3.00	    inference('sup+', [status(thm)], ['10', '11'])).
2.82/3.00	tff('13', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
2.82/3.00	    inference('demod', [status(thm)], ['12', '10'])).
2.82/3.00	tff(zf_stmt_83, axiom,
2.82/3.00	  (![L1:int,K:int]:
2.82/3.00	     (app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    plus_plus(int),
2.82/3.00	                                    app_encode_app(int,int,bit0,K)),
2.82/3.00	                     app_encode_app(int,int,bit1,L1)) =
2.82/3.00	      app_encode_app(int,int,bit1,
2.82/3.00	                     app_encode_app(int,int,
2.82/3.00	                                    app_encode_app(int,
2.82/3.00	                                                   app_encode_fun(int,int),
2.82/3.00	                                                   plus_plus(int),K),
2.82/3.00	                                    L1))))).
2.82/3.00	tff('14', plain,
2.82/3.00	    ![X124 : int, X125 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	          app_encode_app(int, int, bit0, X124)), 
2.82/3.00	        app_encode_app(int, int, bit1, X125))
2.82/3.00	       = app_encode_app(int, int, bit1, 
2.82/3.00	           app_encode_app(int, int, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	               X124), X125)),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_83])).
2.82/3.00	tff('15', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
2.82/3.00	          zcong, s1), sk_X1), 
2.82/3.00	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
2.82/3.00	    inference('demod', [status(thm)], ['2', '3', '3', '9', '13', '14', '10'])).
2.82/3.00	tff(zf_stmt_139, axiom,
2.82/3.00	  (![S:int]:
2.82/3.00	     ((app_encode_app(int,$o,
2.82/3.00	                      app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                     ord_less_eq(int),zero_zero(int)),
2.82/3.00	                      S) & 
2.82/3.00	       app_encode_app(int,$o,
2.82/3.00	                      app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                     ord_less(int),S),
2.82/3.00	                      app_encode_app(int,int,
2.82/3.00	                                     app_encode_app(int,
2.82/3.00	                                                    app_encode_fun(int,int),
2.82/3.00	                                                    plus_plus(int),
2.82/3.00	                                                    app_encode_app(int,int,
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,
2.82/3.00	                                                                   app_encode_fun(
2.82/3.00	                                                                   int,int),
2.82/3.00	                                                                   times_times(
2.82/3.00	                                                                   int),
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   number_number_of(
2.82/3.00	                                                                   int),
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   bit0,
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   bit0,
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   bit1,pls))))),
2.82/3.00	                                                                   m)),
2.82/3.00	                                     one_one(int))) & 
2.82/3.00	       app_encode_app(int,$o,
2.82/3.00	                      app_encode_app(int,app_encode_fun(int,$o),
2.82/3.00	                                     app_encode_app(int,
2.82/3.00	                                                    app_encode_fun(int,
2.82/3.00	                                                                   app_encode_fun(
2.82/3.00	                                                                   int,$o)),
2.82/3.00	                                                    zcong,s1),
2.82/3.00	                                     S),
2.82/3.00	                      app_encode_app(int,int,
2.82/3.00	                                     app_encode_app(int,
2.82/3.00	                                                    app_encode_fun(int,int),
2.82/3.00	                                                    plus_plus(int),
2.82/3.00	                                                    app_encode_app(int,int,
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,
2.82/3.00	                                                                   app_encode_fun(
2.82/3.00	                                                                   int,int),
2.82/3.00	                                                                   times_times(
2.82/3.00	                                                                   int),
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   number_number_of(
2.82/3.00	                                                                   int),
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   bit0,
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   bit0,
2.82/3.00	                                                                   app_encode_app(
2.82/3.00	                                                                   int,int,
2.82/3.00	                                                                   bit1,pls))))),
2.82/3.00	                                                                   m)),
2.82/3.00	                                     one_one(int)))) =>
2.82/3.00	      thesis))).
2.82/3.00	tff('16', plain,
2.82/3.00	    ![X222 : int]:
2.82/3.00	      (thesis
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
2.82/3.00	               zero_zero(int)), X222)
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.82/3.00	               X222), 
2.82/3.00	             app_encode_app(int, int, 
2.82/3.00	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	                 app_encode_app(int, int, 
2.82/3.00	                   app_encode_app(int, app_encode_fun(int, int), 
2.82/3.00	                     times_times(int), 
2.82/3.00	                     app_encode_app(int, int, number_number_of(int), 
2.82/3.00	                       app_encode_app(int, int, bit0, 
2.82/3.00	                         app_encode_app(int, int, bit0, 
2.82/3.00	                           app_encode_app(int, int, bit1, pls))))), m)), 
2.82/3.00	               one_one(int)))
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), 
2.82/3.00	               app_encode_app(int, 
2.82/3.00	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
2.82/3.00	               X222), 
2.82/3.00	             app_encode_app(int, int, 
2.82/3.00	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	                 app_encode_app(int, int, 
2.82/3.00	                   app_encode_app(int, app_encode_fun(int, int), 
2.82/3.00	                     times_times(int), 
2.82/3.00	                     app_encode_app(int, int, number_number_of(int), 
2.82/3.00	                       app_encode_app(int, int, bit0, 
2.82/3.00	                         app_encode_app(int, int, bit0, 
2.82/3.00	                           app_encode_app(int, int, bit1, pls))))), m)), 
2.82/3.00	               one_one(int)))),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_139])).
2.82/3.00	tff(zf_stmt_92, axiom, (pls = zero_zero(int))).
2.82/3.00	tff('17', plain, pls = zero_zero(int),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_92])).
2.82/3.00	tff(zf_stmt_100, axiom,
2.82/3.00	  (![K:int]:
2.82/3.00	     (app_encode_app(int,int,bit0,K) =
2.82/3.00	      app_encode_app(int,int,
2.82/3.00	                     app_encode_app(int,app_encode_fun(int,int),
2.82/3.00	                                    plus_plus(int),K),
2.82/3.00	                     K)))).
2.82/3.00	tff('18', plain,
2.82/3.00	    ![X161 : int]:
2.82/3.00	      app_encode_app(int, int, bit0, X161)
2.82/3.00	       = app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             X161), X161),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_100])).
2.82/3.00	tff(zf_stmt_133, axiom, (number_ring(int))).
2.82/3.00	tff('19', plain, number_ring(int),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_133])).
2.82/3.00	tff(zf_stmt_72, axiom,
2.82/3.00	  (![A:$tType]:
2.82/3.00	     (number_ring(A) =>
2.82/3.00	      (![Z1:A,W:int,V:int]:
2.82/3.00	         (app_encode_app(A,A,
2.82/3.00	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
2.82/3.00	                                        app_encode_app(int,A,
2.82/3.00	                                                       number_number_of(A),V)),
2.82/3.00	                         app_encode_app(A,A,
2.82/3.00	                                        app_encode_app(A,app_encode_fun(A,A),
2.82/3.00	                                                       plus_plus(A),
2.82/3.00	                                                       app_encode_app(
2.82/3.00	                                                       int,A,
2.82/3.00	                                                       number_number_of(A),W)),
2.82/3.00	                                        Z1)) =
2.82/3.00	          app_encode_app(A,A,
2.82/3.00	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
2.82/3.00	                                        app_encode_app(int,A,
2.82/3.00	                                                       number_number_of(A),
2.82/3.00	                                                       app_encode_app(
2.82/3.00	                                                       int,int,
2.82/3.00	                                                       app_encode_app(
2.82/3.00	                                                       int,
2.82/3.00	                                                       app_encode_fun(
2.82/3.00	                                                       int,int),
2.82/3.00	                                                       plus_plus(int),V),W))),
2.82/3.00	                         Z1)))))).
2.82/3.00	tff('20', plain,
2.82/3.00	    ![X97 : $tType, X98 : int, X99 : int, X100 : X97]:
2.82/3.00	      (app_encode_app(X97, X97, 
2.82/3.00	         app_encode_app(X97, app_encode_fun(X97, X97), plus_plus(X97), 
2.82/3.00	           app_encode_app(int, X97, number_number_of(X97), X98)), 
2.82/3.00	         app_encode_app(X97, X97, 
2.82/3.00	           app_encode_app(X97, app_encode_fun(X97, X97), plus_plus(X97), 
2.82/3.00	             app_encode_app(int, X97, number_number_of(X97), X99)), X100))
2.82/3.00	        = app_encode_app(X97, X97, 
2.82/3.00	            app_encode_app(X97, app_encode_fun(X97, X97), plus_plus(X97), 
2.82/3.00	              app_encode_app(int, X97, number_number_of(X97), 
2.82/3.00	                app_encode_app(int, int, 
2.82/3.00	                  app_encode_app(int, app_encode_fun(int, int), 
2.82/3.00	                    plus_plus(int), X98), X99))), X100)
2.82/3.00	       | ~ number_ring(X97)),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_72])).
2.82/3.00	tff('21', plain,
2.82/3.00	    ![X0 : int, X1 : int, X2 : int]:
2.82/3.00	      (~ $true
2.82/3.00	       | app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             app_encode_app(int, int, number_number_of(int), X2)), 
2.82/3.00	           app_encode_app(int, int, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	               app_encode_app(int, int, number_number_of(int), X1)), X0))
2.82/3.00	          = app_encode_app(int, int, 
2.82/3.00	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	                app_encode_app(int, int, number_number_of(int), 
2.82/3.00	                  app_encode_app(int, int, 
2.82/3.00	                    app_encode_app(int, app_encode_fun(int, int), 
2.82/3.00	                      plus_plus(int), X2), X1))), X0)),
2.82/3.00	    inference('sup-', [status(thm)], ['19', '20'])).
2.82/3.00	tff('22', plain,
2.82/3.00	    ![X0 : int, X1 : int, X2 : int]:
2.82/3.00	      (~ $true
2.82/3.00	       | app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
2.82/3.00	           app_encode_app(int, int, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	               X1), X0))
2.82/3.00	          = app_encode_app(int, int, 
2.82/3.00	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	                app_encode_app(int, int, 
2.82/3.00	                  app_encode_app(int, app_encode_fun(int, int), 
2.82/3.00	                    plus_plus(int), X2), X1)), X0)),
2.82/3.00	    inference('demod', [status(thm)], ['21', '1', '1', '1'])).
2.82/3.00	tff('23', plain,
2.82/3.00	    ![X0 : int, X1 : int, X2 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
2.82/3.00	        app_encode_app(int, int, 
2.82/3.00	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
2.82/3.00	          X0))
2.82/3.00	       = app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             app_encode_app(int, int, 
2.82/3.00	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	                 X2), X1)), X0),
2.82/3.00	    inference('simplify', [status(thm)], ['22'])).
2.82/3.00	tff('24', plain,
2.82/3.00	    ![X0 : int, X1 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
2.82/3.00	        app_encode_app(int, int, 
2.82/3.00	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
2.82/3.00	          X1))
2.82/3.00	       = app_encode_app(int, int, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	             app_encode_app(int, int, bit0, X0)), X1),
2.82/3.00	    inference('sup+', [status(thm)], ['18', '23'])).
2.82/3.00	tff('25', plain,
2.82/3.00	    ![X124 : int, X125 : int]:
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X124), 
2.82/3.00	        app_encode_app(int, int, 
2.82/3.00	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X124), 
2.82/3.00	          app_encode_app(int, int, bit1, X125)))
2.82/3.00	       = app_encode_app(int, int, bit1, 
2.82/3.00	           app_encode_app(int, int, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	               X124), X125)),
2.82/3.00	    inference('demod', [status(thm)], ['14', '24'])).
2.82/3.00	tff('26', plain,
2.82/3.00	    ![X222 : int]:
2.82/3.00	      (thesis
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
2.82/3.00	               pls), X222)
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.82/3.00	               X222), 
2.82/3.00	             app_encode_app(int, int, bit1, 
2.82/3.00	               app_encode_app(int, int, bit0, m)))
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), 
2.82/3.00	               app_encode_app(int, 
2.82/3.00	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
2.82/3.00	               X222), 
2.82/3.00	             app_encode_app(int, int, bit1, 
2.82/3.00	               app_encode_app(int, int, bit0, m)))),
2.82/3.00	    inference('demod', [status(thm)],
2.82/3.00	              ['16', '17', '1', '3', '3', '9', '13', '24', '24', '25', '10', 
2.82/3.00	               '24', '25', '18', '1', '3', '3', '9', '13', '24', '24', '25', 
2.82/3.00	               '10', '24', '25', '18'])).
2.82/3.00	tff(zf_stmt_140, conjecture, (thesis)).
2.82/3.00	tff(zf_stmt_0, negated_conjecture, (~thesis)).
2.82/3.00	tff('27', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
2.82/3.00	tff('28', plain,
2.82/3.00	    ![X222 : int]:
2.82/3.00	      (~ app_encode_app(int, $o, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, $o), 
2.82/3.00	             app_encode_app(int, 
2.82/3.00	               app_encode_fun(int, app_encode_fun(int, $o)), zcong, s1), 
2.82/3.00	             X222), 
2.82/3.00	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.82/3.00	               X222), 
2.82/3.00	             app_encode_app(int, int, bit1, 
2.82/3.00	               app_encode_app(int, int, bit0, m)))
2.82/3.00	       | ~ app_encode_app(int, $o, 
2.82/3.00	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
2.82/3.00	               pls), X222)),
2.82/3.00	    inference('clc', [status(thm)], ['26', '27'])).
2.82/3.00	tff('29', plain,
2.82/3.00	    (~ $true
2.82/3.00	     | ~ app_encode_app(int, $o, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
2.82/3.00	             pls), sk_X1)
2.82/3.00	     | ~ app_encode_app(int, $o, 
2.82/3.00	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
2.82/3.00	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))),
2.82/3.00	    inference('sup-', [status(thm)], ['15', '28'])).
2.82/3.00	tff('30', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
2.82/3.00	        zero_zero(int)), sk_X1),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_30])).
2.82/3.00	tff('31', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), pls), 
2.82/3.00	      sk_X1),
2.82/3.00	    inference('demod', [status(thm)], ['30', '17'])).
2.82/3.00	tff('32', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	          app_encode_app(int, int, 
2.82/3.00	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	              app_encode_app(int, int, number_number_of(int), 
2.82/3.00	                app_encode_app(int, int, bit0, 
2.82/3.00	                  app_encode_app(int, int, bit0, 
2.82/3.00	                    app_encode_app(int, int, bit1, pls))))), m)), 
2.82/3.00	        one_one(int))),
2.82/3.00	    inference('cnf', [status(esa)], [zf_stmt_30])).
2.82/3.00	tff('33', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	          app_encode_app(int, int, 
2.82/3.00	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	              app_encode_app(int, int, bit0, 
2.82/3.00	                app_encode_app(int, int, bit0, 
2.82/3.00	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
2.82/3.00	    inference('demod', [status(thm)], ['32', '1'])).
2.82/3.00	tff('34', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
2.82/3.00	      app_encode_app(int, int, 
2.82/3.00	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.82/3.00	          app_encode_app(int, int, 
2.82/3.00	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.82/3.00	              app_encode_app(int, int, bit0, 
2.82/3.00	                app_encode_app(int, int, bit0, 
2.82/3.00	                  app_encode_app(int, int, bit1, pls)))), m)), 
2.82/3.00	        app_encode_app(int, int, bit1, pls))),
2.82/3.00	    inference('demod', [status(thm)], ['33', '13'])).
2.82/3.00	tff('35', plain,
2.82/3.00	    app_encode_app(int, $o, 
2.82/3.00	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), sk_X1), 
2.82/3.00	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
2.82/3.00	    inference('demod', [status(thm)], ['34', '3', '3', '9', '14', '10'])).
2.82/3.00	tff('36', plain, (~ $true | ~ $true | ~ $true),
2.82/3.00	    inference('demod', [status(thm)], ['29', '31', '35'])).
2.82/3.00	tff('37', plain, $false, inference('simplify', [status(thm)], ['36'])).
2.82/3.00	
2.82/3.00	% SZS output end Refutation
2.82/3.00	EOF
