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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n154.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:47:08 CST 2018
17.44/17.66	% done 1776 iterations in 17.453s
17.44/17.66	% SZS status Theorem for 'stdin'
17.44/17.66	% SZS output start Refutation
17.44/17.66	tff(zf_stmt_31, axiom,
17.44/17.66	  (![M:int]:
17.44/17.66	     (app_encode_app(int,$o,zprime,
17.44/17.66	                     app_encode_app(int,int,
17.44/17.66	                                    app_encode_app(int,
17.44/17.66	                                                   app_encode_fun(int,int),
17.44/17.66	                                                   plus_plus(int),
17.44/17.66	                                                   app_encode_app(int,int,
17.44/17.66	                                                                  app_encode_app(
17.44/17.66	                                                                  int,
17.44/17.66	                                                                  app_encode_fun(
17.44/17.66	                                                                  int,int),
17.44/17.66	                                                                  times_times(
17.44/17.66	                                                                  int),
17.44/17.66	                                                                  app_encode_app(
17.44/17.66	                                                                  int,int,
17.44/17.66	                                                                  number_number_of(
17.44/17.67	                                                                  int),
17.44/17.67	                                                                  app_encode_app(
17.44/17.67	                                                                  int,int,
17.44/17.67	                                                                  bit0,
17.44/17.67	                                                                  app_encode_app(
17.44/17.67	                                                                  int,int,
17.44/17.67	                                                                  bit0,
17.44/17.67	                                                                  app_encode_app(
17.44/17.67	                                                                  int,int,
17.44/17.67	                                                                  bit1,pls))))),
17.44/17.67	                                                                  M)),
17.44/17.67	                                    one_one(int))) =>
17.44/17.67	      (app_encode_app(int,int,
17.44/17.67	                      app_encode_app(int,app_encode_fun(int,int),legendre,
17.44/17.67	                                     app_encode_app(int,int,
17.44/17.67	                                                    number_number_of(int),min)),
17.44/17.67	                      app_encode_app(int,int,
17.44/17.67	                                     app_encode_app(int,
17.44/17.67	                                                    app_encode_fun(int,int),
17.44/17.67	                                                    plus_plus(int),
17.44/17.67	                                                    app_encode_app(int,int,
17.44/17.67	                                                                   app_encode_app(
17.44/17.67	                                                                   int,
17.44/17.67	                                                                   app_encode_fun(
17.44/17.67	                                                                   int,int),
17.44/17.67	                                                                   times_times(
17.44/17.67	                                                                   int),
17.44/17.67	                                                                   app_encode_app(
17.44/17.67	                                                                   int,int,
17.44/17.67	                                                                   number_number_of(
17.44/17.67	                                                                   int),
17.44/17.67	                                                                   app_encode_app(
17.44/17.67	                                                                   int,int,
17.44/17.67	                                                                   bit0,
17.44/17.67	                                                                   app_encode_app(
17.44/17.67	                                                                   int,int,
17.44/17.67	                                                                   bit0,
17.44/17.67	                                                                   app_encode_app(
17.44/17.67	                                                                   int,int,
17.44/17.67	                                                                   bit1,pls))))),
17.44/17.67	                                                                   M)),
17.44/17.67	                                     one_one(int))) =
17.44/17.67	       one_one(int))))).
17.44/17.67	tff('0', plain,
17.44/17.67	    ![X9 : int]:
17.44/17.67	      (app_encode_app(int, int, 
17.44/17.67	         app_encode_app(int, app_encode_fun(int, int), legendre, 
17.44/17.67	           app_encode_app(int, int, number_number_of(int), min)), 
17.44/17.67	         app_encode_app(int, int, 
17.44/17.67	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	             app_encode_app(int, int, 
17.44/17.67	               app_encode_app(int, app_encode_fun(int, int), 
17.44/17.67	                 times_times(int), 
17.44/17.67	                 app_encode_app(int, int, number_number_of(int), 
17.44/17.67	                   app_encode_app(int, int, bit0, 
17.44/17.67	                     app_encode_app(int, int, bit0, 
17.44/17.67	                       app_encode_app(int, int, bit1, pls))))), X9)), 
17.44/17.67	           one_one(int)))
17.44/17.67	        = one_one(int)
17.44/17.67	       | ~ app_encode_app(int, $o, zprime, 
17.44/17.67	             app_encode_app(int, int, 
17.44/17.67	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	                 app_encode_app(int, int, 
17.44/17.67	                   app_encode_app(int, app_encode_fun(int, int), 
17.44/17.67	                     times_times(int), 
17.44/17.67	                     app_encode_app(int, int, number_number_of(int), 
17.44/17.67	                       app_encode_app(int, int, bit0, 
17.44/17.67	                         app_encode_app(int, int, bit0, 
17.44/17.67	                           app_encode_app(int, int, bit1, pls))))), X9)), 
17.44/17.67	               one_one(int)))),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_31])).
17.44/17.67	tff(zf_stmt_63, axiom,
17.44/17.67	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
17.44/17.67	tff('1', plain,
17.44/17.67	    ![X74 : int]: app_encode_app(int, int, number_number_of(int), X74) = X74,
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_63])).
17.44/17.67	tff(zf_stmt_80, axiom,
17.44/17.67	  (one_one(int) =
17.44/17.67	   app_encode_app(int,int,number_number_of(int),
17.44/17.67	                  app_encode_app(int,int,bit1,pls)))).
17.44/17.67	tff('2', plain,
17.44/17.67	    one_one(int)
17.44/17.67	     = app_encode_app(int, int, number_number_of(int), 
17.44/17.67	         app_encode_app(int, int, bit1, pls)),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_80])).
17.44/17.67	tff('3', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
17.44/17.67	    inference('demod', [status(thm)], ['2', '1'])).
17.44/17.67	tff('4', plain,
17.44/17.67	    ![X9 : int]:
17.44/17.67	      (app_encode_app(int, int, 
17.44/17.67	         app_encode_app(int, app_encode_fun(int, int), legendre, min), 
17.44/17.67	         app_encode_app(int, int, 
17.44/17.67	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	             app_encode_app(int, int, 
17.44/17.67	               app_encode_app(int, app_encode_fun(int, int), 
17.44/17.67	                 times_times(int), 
17.44/17.67	                 app_encode_app(int, int, bit0, 
17.44/17.67	                   app_encode_app(int, int, bit0, one_one(int)))), X9)), 
17.44/17.67	           one_one(int)))
17.44/17.67	        = one_one(int)
17.44/17.67	       | ~ app_encode_app(int, $o, zprime, 
17.44/17.67	             app_encode_app(int, int, 
17.44/17.67	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	                 app_encode_app(int, int, 
17.44/17.67	                   app_encode_app(int, app_encode_fun(int, int), 
17.44/17.67	                     times_times(int), 
17.44/17.67	                     app_encode_app(int, int, bit0, 
17.44/17.67	                       app_encode_app(int, int, bit0, one_one(int)))), X9)), 
17.44/17.67	               one_one(int)))),
17.44/17.67	    inference('demod', [status(thm)], ['0', '1', '3', '1', '3', '1'])).
17.44/17.67	tff(zf_stmt_51, axiom,
17.44/17.67	  (![L:int,K1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    times_times(int),
17.44/17.67	                                    app_encode_app(int,int,bit0,K1)),
17.44/17.67	                     L) =
17.44/17.67	      app_encode_app(int,int,bit0,
17.44/17.67	                     app_encode_app(int,int,
17.44/17.67	                                    app_encode_app(int,
17.44/17.67	                                                   app_encode_fun(int,int),
17.44/17.67	                                                   times_times(int),K1),
17.44/17.67	                                    L))))).
17.44/17.67	tff('5', plain,
17.44/17.67	    ![X52 : int, X53 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	          app_encode_app(int, int, bit0, X52)), X53)
17.44/17.67	       = app_encode_app(int, int, bit0, 
17.44/17.67	           app_encode_app(int, int, 
17.44/17.67	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	               X52), X53)),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_51])).
17.44/17.67	tff(zf_stmt_50, axiom,
17.44/17.67	  (![W1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    times_times(int),pls),
17.44/17.67	                     W1) =
17.44/17.67	      pls))).
17.44/17.67	tff('6', plain,
17.44/17.67	    ![X51 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
17.44/17.67	        X51)
17.44/17.67	       = pls,
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_50])).
17.44/17.67	tff(zf_stmt_32, axiom,
17.44/17.67	  (![L:int,K1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    times_times(int),
17.44/17.67	                                    app_encode_app(int,int,bit1,K1)),
17.44/17.67	                     L) =
17.44/17.67	      app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    plus_plus(int),
17.44/17.67	                                    app_encode_app(int,int,bit0,
17.44/17.67	                                                   app_encode_app(int,int,
17.44/17.67	                                                                  app_encode_app(
17.44/17.67	                                                                  int,
17.44/17.67	                                                                  app_encode_fun(
17.44/17.67	                                                                  int,int),
17.44/17.67	                                                                  times_times(
17.44/17.67	                                                                  int),K1),L))),
17.44/17.67	                     L)))).
17.44/17.67	tff('7', plain,
17.44/17.67	    ![X10 : int, X11 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	          app_encode_app(int, int, bit1, X10)), X11)
17.44/17.67	       = app_encode_app(int, int, 
17.44/17.67	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	             app_encode_app(int, int, bit0, 
17.44/17.67	               app_encode_app(int, int, 
17.44/17.67	                 app_encode_app(int, app_encode_fun(int, int), 
17.44/17.67	                   times_times(int), X10), X11))), X11),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_32])).
17.44/17.67	tff('8', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	          app_encode_app(int, int, bit1, pls)), X0)
17.44/17.67	       = app_encode_app(int, int, 
17.44/17.67	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	             app_encode_app(int, int, bit0, pls)), X0),
17.44/17.67	    inference('sup+', [status(thm)], ['6', '7'])).
17.44/17.67	tff(zf_stmt_49, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
17.44/17.67	tff('9', plain, app_encode_app(int, int, bit0, pls) = pls,
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_49])).
17.44/17.67	tff('10', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	          one_one(int)), X0)
17.44/17.67	       = app_encode_app(int, int, 
17.44/17.67	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
17.44/17.67	           X0),
17.44/17.67	    inference('demod', [status(thm)], ['8', '3', '9'])).
17.44/17.67	tff(zf_stmt_65, axiom,
17.44/17.67	  (![K1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    plus_plus(int),pls),
17.44/17.67	                     K1) =
17.44/17.67	      K1))).
17.44/17.67	tff('11', plain,
17.44/17.67	    ![X76 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
17.44/17.67	        X76)
17.44/17.67	       = X76,
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_65])).
17.44/17.67	tff('12', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	          one_one(int)), X0)
17.44/17.67	       = X0,
17.44/17.67	    inference('demod', [status(thm)], ['10', '11'])).
17.44/17.67	tff(zf_stmt_34, axiom,
17.44/17.67	  (![L:int,K1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    plus_plus(int),
17.44/17.67	                                    app_encode_app(int,int,bit0,K1)),
17.44/17.67	                     app_encode_app(int,int,bit1,L)) =
17.44/17.67	      app_encode_app(int,int,bit1,
17.44/17.67	                     app_encode_app(int,int,
17.44/17.67	                                    app_encode_app(int,
17.44/17.67	                                                   app_encode_fun(int,int),
17.44/17.67	                                                   plus_plus(int),K1),
17.44/17.67	                                    L))))).
17.44/17.67	tff('13', plain,
17.44/17.67	    ![X13 : int, X14 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, bit0, X13)), 
17.44/17.67	        app_encode_app(int, int, bit1, X14))
17.44/17.67	       = app_encode_app(int, int, bit1, 
17.44/17.67	           app_encode_app(int, int, 
17.44/17.67	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	               X13), X14)),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_34])).
17.44/17.67	tff('14', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, bit0, X0)), one_one(int))
17.44/17.67	       = app_encode_app(int, int, bit1, 
17.44/17.67	           app_encode_app(int, int, 
17.44/17.67	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	               X0), pls)),
17.44/17.67	    inference('sup+', [status(thm)], ['3', '13'])).
17.44/17.67	tff(zf_stmt_64, axiom,
17.44/17.67	  (![K1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    plus_plus(int),K1),
17.44/17.67	                     pls) =
17.44/17.67	      K1))).
17.44/17.67	tff('15', plain,
17.44/17.67	    ![X75 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X75), 
17.44/17.67	        pls)
17.44/17.67	       = X75,
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_64])).
17.44/17.67	tff('16', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, bit0, X0)), one_one(int))
17.44/17.67	       = app_encode_app(int, int, bit1, X0),
17.44/17.67	    inference('demod', [status(thm)], ['14', '15'])).
17.44/17.67	tff('17', plain,
17.44/17.67	    ![X9 : int]:
17.44/17.67	      (app_encode_app(int, int, 
17.44/17.67	         app_encode_app(int, app_encode_fun(int, int), legendre, min), 
17.44/17.67	         app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, X9)))
17.44/17.67	        = one_one(int)
17.44/17.67	       | ~ app_encode_app(int, $o, zprime, 
17.44/17.67	             app_encode_app(int, int, bit1, 
17.44/17.67	               app_encode_app(int, int, bit0, X9)))),
17.44/17.67	    inference('demod', [status(thm)],
17.44/17.67	              ['4', '5', '5', '12', '16', '5', '5', '12', '16'])).
17.44/17.67	tff(zf_stmt_138, conjecture,
17.44/17.67	  (app_encode_app(int,int,
17.44/17.67	                  app_encode_app(int,app_encode_fun(int,int),legendre,
17.44/17.67	                                 app_encode_app(int,int,
17.44/17.67	                                                number_number_of(int),min)),
17.44/17.67	                  app_encode_app(int,int,
17.44/17.67	                                 app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                                plus_plus(int),
17.44/17.67	                                                app_encode_app(int,int,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,
17.44/17.67	                                                               app_encode_fun(
17.44/17.67	                                                               int,int),
17.44/17.67	                                                               times_times(
17.44/17.67	                                                               int),
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,
17.44/17.67	                                                               number_number_of(
17.44/17.67	                                                               int),
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit0,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit0,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit1,
17.44/17.67	                                                               pls))))),m)),
17.44/17.67	                                 one_one(int))) =
17.44/17.67	   one_one(int))).
17.44/17.67	tff(zf_stmt_0, negated_conjecture,
17.44/17.67	  (app_encode_app(int,int,
17.44/17.67	                  app_encode_app(int,app_encode_fun(int,int),legendre,
17.44/17.67	                                 app_encode_app(int,int,
17.44/17.67	                                                number_number_of(int),min)),
17.44/17.67	                  app_encode_app(int,int,
17.44/17.67	                                 app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                                plus_plus(int),
17.44/17.67	                                                app_encode_app(int,int,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,
17.44/17.67	                                                               app_encode_fun(
17.44/17.67	                                                               int,int),
17.44/17.67	                                                               times_times(
17.44/17.67	                                                               int),
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,
17.44/17.67	                                                               number_number_of(
17.44/17.67	                                                               int),
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit0,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit0,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit1,
17.44/17.67	                                                               pls))))),m)),
17.44/17.67	                                 one_one(int))) !=
17.44/17.67	   one_one(int))).
17.44/17.67	tff('18', plain,
17.44/17.67	    app_encode_app(int, int, 
17.44/17.67	      app_encode_app(int, app_encode_fun(int, int), legendre, 
17.44/17.67	        app_encode_app(int, int, number_number_of(int), min)), 
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, 
17.44/17.67	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	              app_encode_app(int, int, number_number_of(int), 
17.44/17.67	                app_encode_app(int, int, bit0, 
17.44/17.67	                  app_encode_app(int, int, bit0, 
17.44/17.67	                    app_encode_app(int, int, bit1, pls))))), m)), 
17.44/17.67	        one_one(int)))
17.44/17.67	     != one_one(int),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_0])).
17.44/17.67	tff(zf_stmt_107, axiom,
17.44/17.67	  (![A:$tType]:
17.44/17.67	     (comm_semiring_1(A) =>
17.44/17.67	      (![D1:A,C:A,A1:A]:
17.44/17.67	         (app_encode_app(A,A,
17.44/17.67	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),A1),
17.44/17.67	                         app_encode_app(A,A,
17.44/17.67	                                        app_encode_app(A,app_encode_fun(A,A),
17.44/17.67	                                                       plus_plus(A),C),
17.44/17.67	                                        D1)) =
17.44/17.67	          app_encode_app(A,A,
17.44/17.67	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),C),
17.44/17.67	                         app_encode_app(A,A,
17.44/17.67	                                        app_encode_app(A,app_encode_fun(A,A),
17.44/17.67	                                                       plus_plus(A),A1),
17.44/17.67	                                        D1))))))).
17.44/17.67	tff('19', plain,
17.44/17.67	    ![X168 : $tType, X169 : X168, X170 : X168, X171 : X168]:
17.44/17.67	      (app_encode_app(X168, X168, 
17.44/17.67	         app_encode_app(X168, app_encode_fun(X168, X168), plus_plus(X168), 
17.44/17.67	           X170), 
17.44/17.67	         app_encode_app(X168, X168, 
17.44/17.67	           app_encode_app(X168, app_encode_fun(X168, X168), plus_plus(X168), 
17.44/17.67	             X169), X171))
17.44/17.67	        = app_encode_app(X168, X168, 
17.44/17.67	            app_encode_app(X168, app_encode_fun(X168, X168), 
17.44/17.67	              plus_plus(X168), X169), 
17.44/17.67	            app_encode_app(X168, X168, 
17.44/17.67	              app_encode_app(X168, app_encode_fun(X168, X168), 
17.44/17.67	                plus_plus(X168), X170), X171))
17.44/17.67	       | ~ comm_semiring_1(X168)),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_107])).
17.44/17.67	tff('20', plain,
17.44/17.67	    ![X0 : int, X1 : int]:
17.44/17.67	      (app_encode_app(int, int, 
17.44/17.67	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
17.44/17.67	         X0)
17.44/17.67	        = app_encode_app(int, int, 
17.44/17.67	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
17.44/17.67	            app_encode_app(int, int, 
17.44/17.67	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	                X1), pls))
17.44/17.67	       | ~ comm_semiring_1(int)),
17.44/17.67	    inference('sup+', [status(thm)], ['15', '19'])).
17.44/17.67	tff(zf_stmt_125, axiom, (comm_semiring_1(int))).
17.44/17.67	tff('21', plain, comm_semiring_1(int),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_125])).
17.44/17.67	tff('22', plain,
17.44/17.67	    ![X0 : int, X1 : int]:
17.44/17.67	      (app_encode_app(int, int, 
17.44/17.67	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
17.44/17.67	         X0)
17.44/17.67	        = app_encode_app(int, int, 
17.44/17.67	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
17.44/17.67	            X1)
17.44/17.67	       | ~ $true),
17.44/17.67	    inference('demod', [status(thm)], ['20', '15', '21'])).
17.44/17.67	tff('23', plain,
17.44/17.67	    ![X0 : int, X1 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
17.44/17.67	        X0)
17.44/17.67	       = app_encode_app(int, int, 
17.44/17.67	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
17.44/17.67	           X1),
17.44/17.67	    inference('simplify', [status(thm)], ['22'])).
17.44/17.67	tff(zf_stmt_35, axiom,
17.44/17.67	  (![L:int,K1:int]:
17.44/17.67	     (app_encode_app(int,int,
17.44/17.67	                     app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                    plus_plus(int),
17.44/17.67	                                    app_encode_app(int,int,bit1,K1)),
17.44/17.67	                     app_encode_app(int,int,bit0,L)) =
17.44/17.67	      app_encode_app(int,int,bit1,
17.44/17.67	                     app_encode_app(int,int,
17.44/17.67	                                    app_encode_app(int,
17.44/17.67	                                                   app_encode_fun(int,int),
17.44/17.67	                                                   plus_plus(int),K1),
17.44/17.67	                                    L))))).
17.44/17.67	tff('24', plain,
17.44/17.67	    ![X15 : int, X16 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, bit1, X15)), 
17.44/17.67	        app_encode_app(int, int, bit0, X16))
17.44/17.67	       = app_encode_app(int, int, bit1, 
17.44/17.67	           app_encode_app(int, int, 
17.44/17.67	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	               X15), X16)),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_35])).
17.44/17.67	tff('25', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          one_one(int)), app_encode_app(int, int, bit0, X0))
17.44/17.67	       = app_encode_app(int, int, bit1, 
17.44/17.67	           app_encode_app(int, int, 
17.44/17.67	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	               pls), X0)),
17.44/17.67	    inference('sup+', [status(thm)], ['3', '24'])).
17.44/17.67	tff('26', plain,
17.44/17.67	    ![X0 : int]:
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          one_one(int)), app_encode_app(int, int, bit0, X0))
17.44/17.67	       = app_encode_app(int, int, bit1, X0),
17.44/17.67	    inference('demod', [status(thm)], ['25', '11'])).
17.44/17.67	tff('27', plain,
17.44/17.67	    app_encode_app(int, int, 
17.44/17.67	      app_encode_app(int, app_encode_fun(int, int), legendre, min), 
17.44/17.67	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))
17.44/17.67	     != one_one(int),
17.44/17.67	    inference('demod', [status(thm)],
17.44/17.67	              ['18', '1', '3', '1', '5', '5', '12', '23', '26'])).
17.44/17.67	tff('28', plain,
17.44/17.67	    (one_one(int) != one_one(int)
17.44/17.67	     | ~ app_encode_app(int, $o, zprime, 
17.44/17.67	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))),
17.44/17.67	    inference('sup-', [status(thm)], ['17', '27'])).
17.44/17.67	tff(zf_stmt_27, axiom,
17.44/17.67	  (app_encode_app(int,$o,zprime,
17.44/17.67	                  app_encode_app(int,int,
17.44/17.67	                                 app_encode_app(int,app_encode_fun(int,int),
17.44/17.67	                                                plus_plus(int),
17.44/17.67	                                                app_encode_app(int,int,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,
17.44/17.67	                                                               app_encode_fun(
17.44/17.67	                                                               int,int),
17.44/17.67	                                                               times_times(
17.44/17.67	                                                               int),
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,
17.44/17.67	                                                               number_number_of(
17.44/17.67	                                                               int),
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit0,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit0,
17.44/17.67	                                                               app_encode_app(
17.44/17.67	                                                               int,int,bit1,
17.44/17.67	                                                               pls))))),m)),
17.44/17.67	                                 one_one(int))))).
17.44/17.67	tff('29', plain,
17.44/17.67	    app_encode_app(int, $o, zprime, 
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, 
17.44/17.67	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	              app_encode_app(int, int, number_number_of(int), 
17.44/17.67	                app_encode_app(int, int, bit0, 
17.44/17.67	                  app_encode_app(int, int, bit0, 
17.44/17.67	                    app_encode_app(int, int, bit1, pls))))), m)), 
17.44/17.67	        one_one(int))),
17.44/17.67	    inference('cnf', [status(esa)], [zf_stmt_27])).
17.44/17.67	tff('30', plain,
17.44/17.67	    app_encode_app(int, $o, zprime, 
17.44/17.67	      app_encode_app(int, int, 
17.44/17.67	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
17.44/17.67	          app_encode_app(int, int, 
17.44/17.67	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
17.44/17.67	              app_encode_app(int, int, bit0, 
17.44/17.67	                app_encode_app(int, int, bit0, 
17.44/17.67	                  app_encode_app(int, int, bit1, pls)))), m)), one_one(int))),
17.44/17.67	    inference('demod', [status(thm)], ['29', '1'])).
17.44/17.67	tff('31', plain,
17.44/17.67	    app_encode_app(int, $o, zprime, 
17.44/17.67	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
17.44/17.67	    inference('demod', [status(thm)], ['30', '3', '5', '5', '12', '16'])).
17.44/17.67	tff('32', plain, (one_one(int) != one_one(int) | ~ $true),
17.44/17.67	    inference('demod', [status(thm)], ['28', '31'])).
17.44/17.67	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
17.44/17.67	
17.44/17.67	% SZS output end Refutation
17.44/17.67	EOF
