0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n113.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:45:09 CST 2018
1.77/1.94	% done 956 iterations in 1.742s
1.77/1.94	% SZS status Theorem for 'stdin'
1.77/1.94	% SZS output start Refutation
1.77/1.95	tff(zf_stmt_38, axiom,
1.77/1.95	  (app_encode_app(int,$o,
1.77/1.95	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.77/1.95	                                 app_encode_app(int,int,
1.77/1.95	                                                app_encode_app(int,
1.77/1.95	                                                               app_encode_fun(
1.77/1.95	                                                               int,int),
1.77/1.95	                                                               plus_plus(int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,
1.77/1.95	                                                               app_encode_fun(
1.77/1.95	                                                               int,int),
1.77/1.95	                                                               times_times(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,
1.77/1.95	                                                               number_number_of(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit1,
1.77/1.95	                                                               pls))))),m)),
1.77/1.95	                                                one_one(int))),
1.77/1.95	                  app_encode_app(int,int,number_number_of(int),
1.77/1.95	                                 app_encode_app(int,int,bit0,
1.77/1.95	                                                app_encode_app(int,int,bit1,
1.77/1.95	                                                               pls)))) | 
1.77/1.95	   app_encode_app(int,$o,
1.77/1.95	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.77/1.95	                                 app_encode_app(int,int,
1.77/1.95	                                                app_encode_app(int,
1.77/1.95	                                                               app_encode_fun(
1.77/1.95	                                                               int,int),
1.77/1.95	                                                               plus_plus(int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,
1.77/1.95	                                                               app_encode_fun(
1.77/1.95	                                                               int,int),
1.77/1.95	                                                               times_times(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,
1.77/1.95	                                                               number_number_of(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit1,
1.77/1.95	                                                               pls))))),m)),
1.77/1.95	                                                one_one(int))),
1.77/1.95	                  one_one(int)) | 
1.77/1.95	   (app_encode_app(int,int,
1.77/1.95	                   app_encode_app(int,app_encode_fun(int,int),legendre,
1.77/1.95	                                  app_encode_app(int,int,
1.77/1.95	                                                 number_number_of(int),min)),
1.77/1.95	                   app_encode_app(int,int,
1.77/1.95	                                  app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                                 plus_plus(int),
1.77/1.95	                                                 app_encode_app(int,int,
1.77/1.95	                                                                app_encode_app(
1.77/1.95	                                                                int,
1.77/1.95	                                                                app_encode_fun(
1.77/1.95	                                                                int,int),
1.77/1.95	                                                                times_times(
1.77/1.95	                                                                int),
1.77/1.95	                                                                app_encode_app(
1.77/1.95	                                                                int,int,
1.77/1.95	                                                                number_number_of(
1.77/1.95	                                                                int),
1.77/1.95	                                                                app_encode_app(
1.77/1.95	                                                                int,int,bit0,
1.77/1.95	                                                                app_encode_app(
1.77/1.95	                                                                int,int,bit0,
1.77/1.95	                                                                app_encode_app(
1.77/1.95	                                                                int,int,bit1,
1.77/1.95	                                                                pls))))),m)),
1.77/1.95	                                  one_one(int))) =
1.77/1.95	    one_one(int)))).
1.77/1.95	tff('0', plain,
1.77/1.95	    (app_encode_app(int, $o, 
1.77/1.95	       app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.77/1.95	         app_encode_app(int, int, 
1.77/1.95	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	             app_encode_app(int, int, 
1.77/1.95	               app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                 times_times(int), 
1.77/1.95	                 app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                   app_encode_app(int, int, bit0, 
1.77/1.95	                     app_encode_app(int, int, bit0, 
1.77/1.95	                       app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	           one_one(int))), 
1.77/1.95	       app_encode_app(int, int, number_number_of(int), 
1.77/1.95	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
1.77/1.95	     | app_encode_app(int, $o, 
1.77/1.95	         app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.77/1.95	           app_encode_app(int, int, 
1.77/1.95	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	               app_encode_app(int, int, 
1.77/1.95	                 app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                   times_times(int), 
1.77/1.95	                   app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                     app_encode_app(int, int, bit0, 
1.77/1.95	                       app_encode_app(int, int, bit0, 
1.77/1.95	                         app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	             one_one(int))), one_one(int))
1.77/1.95	     | app_encode_app(int, int, 
1.77/1.95	         app_encode_app(int, app_encode_fun(int, int), legendre, 
1.77/1.95	           app_encode_app(int, int, number_number_of(int), min)), 
1.77/1.95	         app_encode_app(int, int, 
1.77/1.95	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	             app_encode_app(int, int, 
1.77/1.95	               app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                 times_times(int), 
1.77/1.95	                 app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                   app_encode_app(int, int, bit0, 
1.77/1.95	                     app_encode_app(int, int, bit0, 
1.77/1.95	                       app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	           one_one(int)))
1.77/1.95	        = one_one(int)),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_38])).
1.77/1.95	tff(zf_stmt_37, axiom,
1.77/1.95	  (~
1.77/1.95	    (app_encode_app(int,$o,
1.77/1.95	                    app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.77/1.95	                                   app_encode_app(int,int,
1.77/1.95	                                                  app_encode_app(int,
1.77/1.95	                                                                 app_encode_fun(
1.77/1.95	                                                                 int,int),
1.77/1.95	                                                                 plus_plus(
1.77/1.95	                                                                 int),
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,
1.77/1.95	                                                                 app_encode_fun(
1.77/1.95	                                                                 int,int),
1.77/1.95	                                                                 times_times(
1.77/1.95	                                                                 int),
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 number_number_of(
1.77/1.95	                                                                 int),
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 bit0,
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 bit0,
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 bit1,pls))))),
1.77/1.95	                                                                 m)),
1.77/1.95	                                                  one_one(int))),
1.77/1.95	                    one_one(int)) | 
1.77/1.95	     app_encode_app(int,$o,
1.77/1.95	                    app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
1.77/1.95	                                   app_encode_app(int,int,
1.77/1.95	                                                  app_encode_app(int,
1.77/1.95	                                                                 app_encode_fun(
1.77/1.95	                                                                 int,int),
1.77/1.95	                                                                 plus_plus(
1.77/1.95	                                                                 int),
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,
1.77/1.95	                                                                 app_encode_fun(
1.77/1.95	                                                                 int,int),
1.77/1.95	                                                                 times_times(
1.77/1.95	                                                                 int),
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 number_number_of(
1.77/1.95	                                                                 int),
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 bit0,
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 bit0,
1.77/1.95	                                                                 app_encode_app(
1.77/1.95	                                                                 int,int,
1.77/1.95	                                                                 bit1,pls))))),
1.77/1.95	                                                                 m)),
1.77/1.95	                                                  one_one(int))),
1.77/1.95	                    app_encode_app(int,int,number_number_of(int),
1.77/1.95	                                   app_encode_app(int,int,bit0,
1.77/1.95	                                                  app_encode_app(int,int,
1.77/1.95	                                                                 bit1,pls))))))).
1.77/1.95	tff('1', plain,
1.77/1.95	    ~ app_encode_app(int, $o, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.77/1.95	          app_encode_app(int, int, 
1.77/1.95	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	              app_encode_app(int, int, 
1.77/1.95	                app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                  times_times(int), 
1.77/1.95	                  app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                    app_encode_app(int, int, bit0, 
1.77/1.95	                      app_encode_app(int, int, bit0, 
1.77/1.95	                        app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	            one_one(int))), 
1.77/1.95	        app_encode_app(int, int, number_number_of(int), 
1.77/1.95	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_37])).
1.77/1.95	tff('2', plain,
1.77/1.95	    (app_encode_app(int, int, 
1.77/1.95	       app_encode_app(int, app_encode_fun(int, int), legendre, 
1.77/1.95	         app_encode_app(int, int, number_number_of(int), min)), 
1.77/1.95	       app_encode_app(int, int, 
1.77/1.95	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	           app_encode_app(int, int, 
1.77/1.95	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	               app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                 app_encode_app(int, int, bit0, 
1.77/1.95	                   app_encode_app(int, int, bit0, 
1.77/1.95	                     app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	         one_one(int)))
1.77/1.95	      = one_one(int)
1.77/1.95	     | app_encode_app(int, $o, 
1.77/1.95	         app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.77/1.95	           app_encode_app(int, int, 
1.77/1.95	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	               app_encode_app(int, int, 
1.77/1.95	                 app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                   times_times(int), 
1.77/1.95	                   app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                     app_encode_app(int, int, bit0, 
1.77/1.95	                       app_encode_app(int, int, bit0, 
1.77/1.95	                         app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	             one_one(int))), one_one(int))),
1.77/1.95	    inference('clc', [status(thm)], ['0', '1'])).
1.77/1.95	tff('3', plain,
1.77/1.95	    ~ app_encode_app(int, $o, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
1.77/1.95	          app_encode_app(int, int, 
1.77/1.95	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	              app_encode_app(int, int, 
1.77/1.95	                app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                  times_times(int), 
1.77/1.95	                  app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                    app_encode_app(int, int, bit0, 
1.77/1.95	                      app_encode_app(int, int, bit0, 
1.77/1.95	                        app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	            one_one(int))), one_one(int)),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_37])).
1.77/1.95	tff('4', plain,
1.77/1.95	    app_encode_app(int, int, 
1.77/1.95	      app_encode_app(int, app_encode_fun(int, int), legendre, 
1.77/1.95	        app_encode_app(int, int, number_number_of(int), min)), 
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	          app_encode_app(int, int, 
1.77/1.95	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	              app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                app_encode_app(int, int, bit0, 
1.77/1.95	                  app_encode_app(int, int, bit0, 
1.77/1.95	                    app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	        one_one(int)))
1.77/1.95	     = one_one(int),
1.77/1.95	    inference('clc', [status(thm)], ['2', '3'])).
1.77/1.95	tff(zf_stmt_83, axiom,
1.77/1.95	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
1.77/1.95	tff('5', plain,
1.77/1.95	    ![X84 : int]: app_encode_app(int, int, number_number_of(int), X84) = X84,
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_83])).
1.77/1.95	tff('6', plain,
1.77/1.95	    app_encode_app(int, int, 
1.77/1.95	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	          app_encode_app(int, int, 
1.77/1.95	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	              app_encode_app(int, int, bit0, 
1.77/1.95	                app_encode_app(int, int, bit0, 
1.77/1.95	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int)))
1.77/1.95	     = one_one(int),
1.77/1.95	    inference('demod', [status(thm)], ['4', '5', '5'])).
1.77/1.95	tff(zf_stmt_102, axiom,
1.77/1.95	  (one_one(int) =
1.77/1.95	   app_encode_app(int,int,number_number_of(int),
1.77/1.95	                  app_encode_app(int,int,bit1,pls)))).
1.77/1.95	tff('7', plain,
1.77/1.95	    one_one(int)
1.77/1.95	     = app_encode_app(int, int, number_number_of(int), 
1.77/1.95	         app_encode_app(int, int, bit1, pls)),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_102])).
1.77/1.95	tff('8', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
1.77/1.95	    inference('demod', [status(thm)], ['7', '5'])).
1.77/1.95	tff(zf_stmt_64, axiom,
1.77/1.95	  (![L1:int,K1:int]:
1.77/1.95	     (app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    times_times(int),
1.77/1.95	                                    app_encode_app(int,int,bit0,K1)),
1.77/1.95	                     L1) =
1.77/1.95	      app_encode_app(int,int,bit0,
1.77/1.95	                     app_encode_app(int,int,
1.77/1.95	                                    app_encode_app(int,
1.77/1.95	                                                   app_encode_fun(int,int),
1.77/1.95	                                                   times_times(int),K1),
1.77/1.95	                                    L1))))).
1.77/1.95	tff('9', plain,
1.77/1.95	    ![X54 : int, X55 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	          app_encode_app(int, int, bit0, X54)), X55)
1.77/1.95	       = app_encode_app(int, int, bit0, 
1.77/1.95	           app_encode_app(int, int, 
1.77/1.95	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	               X54), X55)),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_64])).
1.77/1.95	tff(zf_stmt_63, axiom,
1.77/1.95	  (![W:int]:
1.77/1.95	     (app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    times_times(int),pls),
1.77/1.95	                     W) =
1.77/1.95	      pls))).
1.77/1.95	tff('10', plain,
1.77/1.95	    ![X53 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.77/1.95	        X53)
1.77/1.95	       = pls,
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_63])).
1.77/1.95	tff(zf_stmt_43, axiom,
1.77/1.95	  (![L1:int,K1:int]:
1.77/1.95	     (app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    times_times(int),
1.77/1.95	                                    app_encode_app(int,int,bit1,K1)),
1.77/1.95	                     L1) =
1.77/1.95	      app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    plus_plus(int),
1.77/1.95	                                    app_encode_app(int,int,bit0,
1.77/1.95	                                                   app_encode_app(int,int,
1.77/1.95	                                                                  app_encode_app(
1.77/1.95	                                                                  int,
1.77/1.95	                                                                  app_encode_fun(
1.77/1.95	                                                                  int,int),
1.77/1.95	                                                                  times_times(
1.77/1.95	                                                                  int),K1),L1))),
1.77/1.95	                     L1)))).
1.77/1.95	tff('11', plain,
1.77/1.95	    ![X9 : int, X10 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	          app_encode_app(int, int, bit1, X9)), X10)
1.77/1.95	       = app_encode_app(int, int, 
1.77/1.95	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	             app_encode_app(int, int, bit0, 
1.77/1.95	               app_encode_app(int, int, 
1.77/1.95	                 app_encode_app(int, app_encode_fun(int, int), 
1.77/1.95	                   times_times(int), X9), X10))), X10),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_43])).
1.77/1.95	tff('12', plain,
1.77/1.95	    ![X0 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	          app_encode_app(int, int, bit1, pls)), X0)
1.77/1.95	       = app_encode_app(int, int, 
1.77/1.95	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	             app_encode_app(int, int, bit0, pls)), X0),
1.77/1.95	    inference('sup+', [status(thm)], ['10', '11'])).
1.77/1.95	tff(zf_stmt_62, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.77/1.95	tff('13', plain, app_encode_app(int, int, bit0, pls) = pls,
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_62])).
1.77/1.95	tff('14', plain,
1.77/1.95	    ![X0 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	          one_one(int)), X0)
1.77/1.95	       = app_encode_app(int, int, 
1.77/1.95	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.77/1.95	           X0),
1.77/1.95	    inference('demod', [status(thm)], ['12', '8', '13'])).
1.77/1.95	tff(zf_stmt_87, axiom,
1.77/1.95	  (![K1:int]:
1.77/1.95	     (app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    plus_plus(int),pls),
1.77/1.95	                     K1) =
1.77/1.95	      K1))).
1.77/1.95	tff('15', plain,
1.77/1.95	    ![X95 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.77/1.95	        X95)
1.77/1.95	       = X95,
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_87])).
1.77/1.95	tff('16', plain,
1.77/1.95	    ![X0 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	          one_one(int)), X0)
1.77/1.95	       = X0,
1.77/1.95	    inference('demod', [status(thm)], ['14', '15'])).
1.77/1.95	tff(zf_stmt_46, axiom,
1.77/1.95	  (![L1:int,K1:int]:
1.77/1.95	     (app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    plus_plus(int),
1.77/1.95	                                    app_encode_app(int,int,bit0,K1)),
1.77/1.95	                     app_encode_app(int,int,bit1,L1)) =
1.77/1.95	      app_encode_app(int,int,bit1,
1.77/1.95	                     app_encode_app(int,int,
1.77/1.95	                                    app_encode_app(int,
1.77/1.95	                                                   app_encode_fun(int,int),
1.77/1.95	                                                   plus_plus(int),K1),
1.77/1.95	                                    L1))))).
1.77/1.95	tff('17', plain,
1.77/1.95	    ![X12 : int, X13 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	          app_encode_app(int, int, bit0, X12)), 
1.77/1.95	        app_encode_app(int, int, bit1, X13))
1.77/1.95	       = app_encode_app(int, int, bit1, 
1.77/1.95	           app_encode_app(int, int, 
1.77/1.95	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	               X12), X13)),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.77/1.95	tff('18', plain,
1.77/1.95	    ![X0 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.77/1.95	       = app_encode_app(int, int, bit1, 
1.77/1.95	           app_encode_app(int, int, 
1.77/1.95	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	               X0), pls)),
1.77/1.95	    inference('sup+', [status(thm)], ['8', '17'])).
1.77/1.95	tff(zf_stmt_86, axiom,
1.77/1.95	  (![K1:int]:
1.77/1.95	     (app_encode_app(int,int,
1.77/1.95	                     app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                    plus_plus(int),K1),
1.77/1.95	                     pls) =
1.77/1.95	      K1))).
1.77/1.95	tff('19', plain,
1.77/1.95	    ![X94 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X94), 
1.77/1.95	        pls)
1.77/1.95	       = X94,
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_86])).
1.77/1.95	tff('20', plain,
1.77/1.95	    ![X0 : int]:
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.77/1.95	       = app_encode_app(int, int, bit1, X0),
1.77/1.95	    inference('demod', [status(thm)], ['18', '19'])).
1.77/1.95	tff('21', plain,
1.77/1.95	    app_encode_app(int, int, 
1.77/1.95	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
1.77/1.95	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
1.77/1.95	     = one_one(int),
1.77/1.95	    inference('demod', [status(thm)], ['6', '8', '9', '9', '16', '20'])).
1.77/1.95	tff(zf_stmt_153, conjecture,
1.77/1.95	  (app_encode_app(int,int,
1.77/1.95	                  app_encode_app(int,app_encode_fun(int,int),legendre,
1.77/1.95	                                 app_encode_app(int,int,
1.77/1.95	                                                number_number_of(int),min)),
1.77/1.95	                  app_encode_app(int,int,
1.77/1.95	                                 app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                                plus_plus(int),
1.77/1.95	                                                app_encode_app(int,int,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,
1.77/1.95	                                                               app_encode_fun(
1.77/1.95	                                                               int,int),
1.77/1.95	                                                               times_times(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,
1.77/1.95	                                                               number_number_of(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit1,
1.77/1.95	                                                               pls))))),m)),
1.77/1.95	                                 one_one(int))) =
1.77/1.95	   one_one(int))).
1.77/1.95	tff(zf_stmt_0, negated_conjecture,
1.77/1.95	  (app_encode_app(int,int,
1.77/1.95	                  app_encode_app(int,app_encode_fun(int,int),legendre,
1.77/1.95	                                 app_encode_app(int,int,
1.77/1.95	                                                number_number_of(int),min)),
1.77/1.95	                  app_encode_app(int,int,
1.77/1.95	                                 app_encode_app(int,app_encode_fun(int,int),
1.77/1.95	                                                plus_plus(int),
1.77/1.95	                                                app_encode_app(int,int,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,
1.77/1.95	                                                               app_encode_fun(
1.77/1.95	                                                               int,int),
1.77/1.95	                                                               times_times(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,
1.77/1.95	                                                               number_number_of(
1.77/1.95	                                                               int),
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit0,
1.77/1.95	                                                               app_encode_app(
1.77/1.95	                                                               int,int,bit1,
1.77/1.95	                                                               pls))))),m)),
1.77/1.95	                                 one_one(int))) !=
1.77/1.95	   one_one(int))).
1.77/1.95	tff('22', plain,
1.77/1.95	    app_encode_app(int, int, 
1.77/1.95	      app_encode_app(int, app_encode_fun(int, int), legendre, 
1.77/1.95	        app_encode_app(int, int, number_number_of(int), min)), 
1.77/1.95	      app_encode_app(int, int, 
1.77/1.95	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.77/1.95	          app_encode_app(int, int, 
1.77/1.95	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.77/1.95	              app_encode_app(int, int, number_number_of(int), 
1.77/1.95	                app_encode_app(int, int, bit0, 
1.77/1.95	                  app_encode_app(int, int, bit0, 
1.77/1.95	                    app_encode_app(int, int, bit1, pls))))), m)), 
1.77/1.95	        one_one(int)))
1.77/1.95	     != one_one(int),
1.77/1.95	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.77/1.95	tff('23', plain,
1.77/1.95	    app_encode_app(int, int, 
1.77/1.95	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
1.77/1.95	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
1.77/1.95	     != one_one(int),
1.77/1.95	    inference('demod', [status(thm)],
1.77/1.95	              ['22', '5', '8', '5', '9', '9', '16', '20'])).
1.77/1.95	tff('24', plain, $false,
1.77/1.95	    inference('simplify_reflect-', [status(thm)], ['21', '23'])).
1.77/1.95	
1.77/1.95	% SZS output end Refutation
1.77/1.95	EOF
