0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n073.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:45:23 CST 2018
0.91/1.15	% done 954 iterations in 0.950s
0.91/1.15	% SZS status Theorem for 'stdin'
0.91/1.15	% SZS output start Refutation
0.91/1.16	tff(zf_stmt_37, axiom,
0.91/1.16	  (app_encode_app(int,$o,
0.91/1.16	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.91/1.16	                                 app_encode_app(int,int,
0.91/1.16	                                                app_encode_app(int,
0.91/1.16	                                                               app_encode_fun(
0.91/1.16	                                                               int,int),
0.91/1.16	                                                               plus_plus(int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,
0.91/1.16	                                                               app_encode_fun(
0.91/1.16	                                                               int,int),
0.91/1.16	                                                               times_times(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,
0.91/1.16	                                                               number_number_of(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit1,
0.91/1.16	                                                               pls))))),m)),
0.91/1.16	                                                one_one(int))),
0.91/1.16	                  app_encode_app(int,int,number_number_of(int),
0.91/1.16	                                 app_encode_app(int,int,bit0,
0.91/1.16	                                                app_encode_app(int,int,bit1,
0.91/1.16	                                                               pls)))) | 
0.91/1.16	   app_encode_app(int,$o,
0.91/1.16	                  app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.91/1.16	                                 app_encode_app(int,int,
0.91/1.16	                                                app_encode_app(int,
0.91/1.16	                                                               app_encode_fun(
0.91/1.16	                                                               int,int),
0.91/1.16	                                                               plus_plus(int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,
0.91/1.16	                                                               app_encode_fun(
0.91/1.16	                                                               int,int),
0.91/1.16	                                                               times_times(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,
0.91/1.16	                                                               number_number_of(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit1,
0.91/1.16	                                                               pls))))),m)),
0.91/1.16	                                                one_one(int))),
0.91/1.16	                  one_one(int)) | 
0.91/1.16	   (app_encode_app(int,int,
0.91/1.16	                   app_encode_app(int,app_encode_fun(int,int),legendre,
0.91/1.16	                                  app_encode_app(int,int,
0.91/1.16	                                                 number_number_of(int),min)),
0.91/1.16	                   app_encode_app(int,int,
0.91/1.16	                                  app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                                 plus_plus(int),
0.91/1.16	                                                 app_encode_app(int,int,
0.91/1.16	                                                                app_encode_app(
0.91/1.16	                                                                int,
0.91/1.16	                                                                app_encode_fun(
0.91/1.16	                                                                int,int),
0.91/1.16	                                                                times_times(
0.91/1.16	                                                                int),
0.91/1.16	                                                                app_encode_app(
0.91/1.16	                                                                int,int,
0.91/1.16	                                                                number_number_of(
0.91/1.16	                                                                int),
0.91/1.16	                                                                app_encode_app(
0.91/1.16	                                                                int,int,bit0,
0.91/1.16	                                                                app_encode_app(
0.91/1.16	                                                                int,int,bit0,
0.91/1.16	                                                                app_encode_app(
0.91/1.16	                                                                int,int,bit1,
0.91/1.16	                                                                pls))))),m)),
0.91/1.16	                                  one_one(int))) =
0.91/1.16	    one_one(int)))).
0.91/1.16	tff('0', plain,
0.91/1.16	    (app_encode_app(int, $o, 
0.91/1.16	       app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.91/1.16	         app_encode_app(int, int, 
0.91/1.16	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	             app_encode_app(int, int, 
0.91/1.16	               app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                 times_times(int), 
0.91/1.16	                 app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                   app_encode_app(int, int, bit0, 
0.91/1.16	                     app_encode_app(int, int, bit0, 
0.91/1.16	                       app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	           one_one(int))), 
0.91/1.16	       app_encode_app(int, int, number_number_of(int), 
0.91/1.16	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
0.91/1.16	     | app_encode_app(int, $o, 
0.91/1.16	         app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.91/1.16	           app_encode_app(int, int, 
0.91/1.16	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	               app_encode_app(int, int, 
0.91/1.16	                 app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                   times_times(int), 
0.91/1.16	                   app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                     app_encode_app(int, int, bit0, 
0.91/1.16	                       app_encode_app(int, int, bit0, 
0.91/1.16	                         app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	             one_one(int))), one_one(int))
0.91/1.16	     | app_encode_app(int, int, 
0.91/1.16	         app_encode_app(int, app_encode_fun(int, int), legendre, 
0.91/1.16	           app_encode_app(int, int, number_number_of(int), min)), 
0.91/1.16	         app_encode_app(int, int, 
0.91/1.16	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	             app_encode_app(int, int, 
0.91/1.16	               app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                 times_times(int), 
0.91/1.16	                 app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                   app_encode_app(int, int, bit0, 
0.91/1.16	                     app_encode_app(int, int, bit0, 
0.91/1.16	                       app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	           one_one(int)))
0.91/1.16	        = one_one(int)),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_37])).
0.91/1.16	tff(zf_stmt_36, axiom,
0.91/1.16	  (~
0.91/1.16	    (app_encode_app(int,$o,
0.91/1.16	                    app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.91/1.16	                                   app_encode_app(int,int,
0.91/1.16	                                                  app_encode_app(int,
0.91/1.16	                                                                 app_encode_fun(
0.91/1.16	                                                                 int,int),
0.91/1.16	                                                                 plus_plus(
0.91/1.16	                                                                 int),
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,
0.91/1.16	                                                                 app_encode_fun(
0.91/1.16	                                                                 int,int),
0.91/1.16	                                                                 times_times(
0.91/1.16	                                                                 int),
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 number_number_of(
0.91/1.16	                                                                 int),
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 bit0,
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 bit0,
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 bit1,pls))))),
0.91/1.16	                                                                 m)),
0.91/1.16	                                                  one_one(int))),
0.91/1.16	                    one_one(int)) | 
0.91/1.16	     app_encode_app(int,$o,
0.91/1.16	                    app_encode_app(int,app_encode_fun(int,$o),dvd_dvd(int),
0.91/1.16	                                   app_encode_app(int,int,
0.91/1.16	                                                  app_encode_app(int,
0.91/1.16	                                                                 app_encode_fun(
0.91/1.16	                                                                 int,int),
0.91/1.16	                                                                 plus_plus(
0.91/1.16	                                                                 int),
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,
0.91/1.16	                                                                 app_encode_fun(
0.91/1.16	                                                                 int,int),
0.91/1.16	                                                                 times_times(
0.91/1.16	                                                                 int),
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 number_number_of(
0.91/1.16	                                                                 int),
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 bit0,
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 bit0,
0.91/1.16	                                                                 app_encode_app(
0.91/1.16	                                                                 int,int,
0.91/1.16	                                                                 bit1,pls))))),
0.91/1.16	                                                                 m)),
0.91/1.16	                                                  one_one(int))),
0.91/1.16	                    app_encode_app(int,int,number_number_of(int),
0.91/1.16	                                   app_encode_app(int,int,bit0,
0.91/1.16	                                                  app_encode_app(int,int,
0.91/1.16	                                                                 bit1,pls))))))).
0.91/1.16	tff('1', plain,
0.91/1.16	    ~ app_encode_app(int, $o, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.91/1.16	          app_encode_app(int, int, 
0.91/1.16	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	              app_encode_app(int, int, 
0.91/1.16	                app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                  times_times(int), 
0.91/1.16	                  app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                    app_encode_app(int, int, bit0, 
0.91/1.16	                      app_encode_app(int, int, bit0, 
0.91/1.16	                        app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	            one_one(int))), 
0.91/1.16	        app_encode_app(int, int, number_number_of(int), 
0.91/1.16	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_36])).
0.91/1.16	tff('2', plain,
0.91/1.16	    (app_encode_app(int, int, 
0.91/1.16	       app_encode_app(int, app_encode_fun(int, int), legendre, 
0.91/1.16	         app_encode_app(int, int, number_number_of(int), min)), 
0.91/1.16	       app_encode_app(int, int, 
0.91/1.16	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	           app_encode_app(int, int, 
0.91/1.16	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	               app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                 app_encode_app(int, int, bit0, 
0.91/1.16	                   app_encode_app(int, int, bit0, 
0.91/1.16	                     app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	         one_one(int)))
0.91/1.16	      = one_one(int)
0.91/1.16	     | app_encode_app(int, $o, 
0.91/1.16	         app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.91/1.16	           app_encode_app(int, int, 
0.91/1.16	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	               app_encode_app(int, int, 
0.91/1.16	                 app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                   times_times(int), 
0.91/1.16	                   app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                     app_encode_app(int, int, bit0, 
0.91/1.16	                       app_encode_app(int, int, bit0, 
0.91/1.16	                         app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	             one_one(int))), one_one(int))),
0.91/1.16	    inference('clc', [status(thm)], ['0', '1'])).
0.91/1.16	tff('3', plain,
0.91/1.16	    ~ app_encode_app(int, $o, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, $o), dvd_dvd(int), 
0.91/1.16	          app_encode_app(int, int, 
0.91/1.16	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	              app_encode_app(int, int, 
0.91/1.16	                app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                  times_times(int), 
0.91/1.16	                  app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                    app_encode_app(int, int, bit0, 
0.91/1.16	                      app_encode_app(int, int, bit0, 
0.91/1.16	                        app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	            one_one(int))), one_one(int)),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_36])).
0.91/1.16	tff('4', plain,
0.91/1.16	    app_encode_app(int, int, 
0.91/1.16	      app_encode_app(int, app_encode_fun(int, int), legendre, 
0.91/1.16	        app_encode_app(int, int, number_number_of(int), min)), 
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	          app_encode_app(int, int, 
0.91/1.16	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	              app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                app_encode_app(int, int, bit0, 
0.91/1.16	                  app_encode_app(int, int, bit0, 
0.91/1.16	                    app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	        one_one(int)))
0.91/1.16	     = one_one(int),
0.91/1.16	    inference('clc', [status(thm)], ['2', '3'])).
0.91/1.16	tff(zf_stmt_82, axiom,
0.91/1.16	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
0.91/1.16	tff('5', plain,
0.91/1.16	    ![X80 : int]: app_encode_app(int, int, number_number_of(int), X80) = X80,
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_82])).
0.91/1.16	tff('6', plain,
0.91/1.16	    app_encode_app(int, int, 
0.91/1.16	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	          app_encode_app(int, int, 
0.91/1.16	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	              app_encode_app(int, int, bit0, 
0.91/1.16	                app_encode_app(int, int, bit0, 
0.91/1.16	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int)))
0.91/1.16	     = one_one(int),
0.91/1.16	    inference('demod', [status(thm)], ['4', '5', '5'])).
0.91/1.16	tff(zf_stmt_63, axiom,
0.91/1.16	  (![L1:int,K1:int]:
0.91/1.16	     (app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    times_times(int),
0.91/1.16	                                    app_encode_app(int,int,bit0,K1)),
0.91/1.16	                     L1) =
0.91/1.16	      app_encode_app(int,int,bit0,
0.91/1.16	                     app_encode_app(int,int,
0.91/1.16	                                    app_encode_app(int,
0.91/1.16	                                                   app_encode_fun(int,int),
0.91/1.16	                                                   times_times(int),K1),
0.91/1.16	                                    L1))))).
0.91/1.16	tff('7', plain,
0.91/1.16	    ![X50 : int, X51 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	          app_encode_app(int, int, bit0, X50)), X51)
0.91/1.16	       = app_encode_app(int, int, bit0, 
0.91/1.16	           app_encode_app(int, int, 
0.91/1.16	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	               X50), X51)),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_63])).
0.91/1.16	tff(zf_stmt_62, axiom,
0.91/1.16	  (![W:int]:
0.91/1.16	     (app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    times_times(int),pls),
0.91/1.16	                     W) =
0.91/1.16	      pls))).
0.91/1.16	tff('8', plain,
0.91/1.16	    ![X49 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
0.91/1.16	        X49)
0.91/1.16	       = pls,
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_62])).
0.91/1.16	tff(zf_stmt_42, axiom,
0.91/1.16	  (![L1:int,K1:int]:
0.91/1.16	     (app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    times_times(int),
0.91/1.16	                                    app_encode_app(int,int,bit1,K1)),
0.91/1.16	                     L1) =
0.91/1.16	      app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    plus_plus(int),
0.91/1.16	                                    app_encode_app(int,int,bit0,
0.91/1.16	                                                   app_encode_app(int,int,
0.91/1.16	                                                                  app_encode_app(
0.91/1.16	                                                                  int,
0.91/1.16	                                                                  app_encode_fun(
0.91/1.16	                                                                  int,int),
0.91/1.16	                                                                  times_times(
0.91/1.16	                                                                  int),K1),L1))),
0.91/1.16	                     L1)))).
0.91/1.16	tff('9', plain,
0.91/1.16	    ![X5 : int, X6 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	          app_encode_app(int, int, bit1, X5)), X6)
0.91/1.16	       = app_encode_app(int, int, 
0.91/1.16	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	             app_encode_app(int, int, bit0, 
0.91/1.16	               app_encode_app(int, int, 
0.91/1.16	                 app_encode_app(int, app_encode_fun(int, int), 
0.91/1.16	                   times_times(int), X5), X6))), X6),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_42])).
0.91/1.16	tff('10', plain,
0.91/1.16	    ![X0 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	          app_encode_app(int, int, bit1, pls)), X0)
0.91/1.16	       = app_encode_app(int, int, 
0.91/1.16	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	             app_encode_app(int, int, bit0, pls)), X0),
0.91/1.16	    inference('sup+', [status(thm)], ['8', '9'])).
0.91/1.16	tff(zf_stmt_61, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
0.91/1.16	tff('11', plain, app_encode_app(int, int, bit0, pls) = pls,
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_61])).
0.91/1.16	tff(zf_stmt_86, axiom,
0.91/1.16	  (![K1:int]:
0.91/1.16	     (app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    plus_plus(int),pls),
0.91/1.16	                     K1) =
0.91/1.16	      K1))).
0.91/1.16	tff('12', plain,
0.91/1.16	    ![X91 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
0.91/1.16	        X91)
0.91/1.16	       = X91,
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_86])).
0.91/1.16	tff('13', plain,
0.91/1.16	    ![X0 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	          app_encode_app(int, int, bit1, pls)), X0)
0.91/1.16	       = X0,
0.91/1.16	    inference('demod', [status(thm)], ['10', '11', '12'])).
0.91/1.16	tff(zf_stmt_101, axiom,
0.91/1.16	  (one_one(int) =
0.91/1.16	   app_encode_app(int,int,number_number_of(int),
0.91/1.16	                  app_encode_app(int,int,bit1,pls)))).
0.91/1.16	tff('14', plain,
0.91/1.16	    one_one(int)
0.91/1.16	     = app_encode_app(int, int, number_number_of(int), 
0.91/1.16	         app_encode_app(int, int, bit1, pls)),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_101])).
0.91/1.16	tff('15', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
0.91/1.16	    inference('demod', [status(thm)], ['14', '5'])).
0.91/1.16	tff(zf_stmt_85, axiom,
0.91/1.16	  (![K1:int]:
0.91/1.16	     (app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    plus_plus(int),K1),
0.91/1.16	                     pls) =
0.91/1.16	      K1))).
0.91/1.16	tff('16', plain,
0.91/1.16	    ![X90 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X90), 
0.91/1.16	        pls)
0.91/1.16	       = X90,
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_85])).
0.91/1.16	tff(zf_stmt_45, axiom,
0.91/1.16	  (![L1:int,K1:int]:
0.91/1.16	     (app_encode_app(int,int,
0.91/1.16	                     app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                    plus_plus(int),
0.91/1.16	                                    app_encode_app(int,int,bit0,K1)),
0.91/1.16	                     app_encode_app(int,int,bit1,L1)) =
0.91/1.16	      app_encode_app(int,int,bit1,
0.91/1.16	                     app_encode_app(int,int,
0.91/1.16	                                    app_encode_app(int,
0.91/1.16	                                                   app_encode_fun(int,int),
0.91/1.16	                                                   plus_plus(int),K1),
0.91/1.16	                                    L1))))).
0.91/1.16	tff('17', plain,
0.91/1.16	    ![X8 : int, X9 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	          app_encode_app(int, int, bit0, X8)), 
0.91/1.16	        app_encode_app(int, int, bit1, X9))
0.91/1.16	       = app_encode_app(int, int, bit1, 
0.91/1.16	           app_encode_app(int, int, 
0.91/1.16	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	               X8), X9)),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_45])).
0.91/1.16	tff('18', plain,
0.91/1.16	    ![X0 : int]:
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	          app_encode_app(int, int, bit0, X0)), 
0.91/1.16	        app_encode_app(int, int, bit1, pls))
0.91/1.16	       = app_encode_app(int, int, bit1, X0),
0.91/1.16	    inference('sup+', [status(thm)], ['16', '17'])).
0.91/1.16	tff('19', plain,
0.91/1.16	    app_encode_app(int, int, 
0.91/1.16	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
0.91/1.16	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
0.91/1.16	     = app_encode_app(int, int, bit1, pls),
0.91/1.16	    inference('demod', [status(thm)], ['6', '7', '7', '13', '15', '18', '15'])).
0.91/1.16	tff(zf_stmt_152, conjecture,
0.91/1.16	  (app_encode_app(int,int,
0.91/1.16	                  app_encode_app(int,app_encode_fun(int,int),legendre,
0.91/1.16	                                 app_encode_app(int,int,
0.91/1.16	                                                number_number_of(int),min)),
0.91/1.16	                  app_encode_app(int,int,
0.91/1.16	                                 app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                                plus_plus(int),
0.91/1.16	                                                app_encode_app(int,int,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,
0.91/1.16	                                                               app_encode_fun(
0.91/1.16	                                                               int,int),
0.91/1.16	                                                               times_times(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,
0.91/1.16	                                                               number_number_of(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit1,
0.91/1.16	                                                               pls))))),m)),
0.91/1.16	                                 one_one(int))) =
0.91/1.16	   one_one(int))).
0.91/1.16	tff(zf_stmt_0, negated_conjecture,
0.91/1.16	  (app_encode_app(int,int,
0.91/1.16	                  app_encode_app(int,app_encode_fun(int,int),legendre,
0.91/1.16	                                 app_encode_app(int,int,
0.91/1.16	                                                number_number_of(int),min)),
0.91/1.16	                  app_encode_app(int,int,
0.91/1.16	                                 app_encode_app(int,app_encode_fun(int,int),
0.91/1.16	                                                plus_plus(int),
0.91/1.16	                                                app_encode_app(int,int,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,
0.91/1.16	                                                               app_encode_fun(
0.91/1.16	                                                               int,int),
0.91/1.16	                                                               times_times(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,
0.91/1.16	                                                               number_number_of(
0.91/1.16	                                                               int),
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit0,
0.91/1.16	                                                               app_encode_app(
0.91/1.16	                                                               int,int,bit1,
0.91/1.16	                                                               pls))))),m)),
0.91/1.16	                                 one_one(int))) !=
0.91/1.16	   one_one(int))).
0.91/1.16	tff('20', plain,
0.91/1.16	    app_encode_app(int, int, 
0.91/1.16	      app_encode_app(int, app_encode_fun(int, int), legendre, 
0.91/1.16	        app_encode_app(int, int, number_number_of(int), min)), 
0.91/1.16	      app_encode_app(int, int, 
0.91/1.16	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.91/1.16	          app_encode_app(int, int, 
0.91/1.16	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.91/1.16	              app_encode_app(int, int, number_number_of(int), 
0.91/1.16	                app_encode_app(int, int, bit0, 
0.91/1.16	                  app_encode_app(int, int, bit0, 
0.91/1.16	                    app_encode_app(int, int, bit1, pls))))), m)), 
0.91/1.16	        one_one(int)))
0.91/1.16	     != one_one(int),
0.91/1.16	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.16	tff('21', plain,
0.91/1.16	    app_encode_app(int, int, 
0.91/1.16	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
0.91/1.16	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
0.91/1.16	     != app_encode_app(int, int, bit1, pls),
0.91/1.16	    inference('demod', [status(thm)],
0.91/1.16	              ['20', '5', '5', '7', '7', '13', '15', '18', '15'])).
0.91/1.16	tff('22', plain, $false,
0.91/1.16	    inference('simplify_reflect-', [status(thm)], ['19', '21'])).
0.91/1.16	
0.91/1.16	% SZS output end Refutation
0.91/1.16	EOF
