0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n047.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:40:08 CST 2018
3.10/3.28	% done 1140 iterations in 3.073s
3.10/3.28	% SZS status Theorem for 'stdin'
3.10/3.28	% SZS output start Refutation
3.10/3.28	tff(zf_stmt_26, axiom,
3.10/3.28	  (app_encode_app(int,$o,
3.10/3.28	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq_int,
3.10/3.28	                                 one_one_int),
3.10/3.28	                  t))).
3.10/3.28	tff('0', plain,
3.10/3.28	    app_encode_app(int, $o, 
3.10/3.28	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.10/3.28	        one_one_int), t),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_26])).
3.10/3.28	tff(zf_stmt_54, axiom,
3.10/3.28	  (![Z:int,W:int]:
3.10/3.28	     (app_encode_app(int,$o,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,$o),ord_less_int,Z),
3.10/3.28	                     W) <=>
3.10/3.28	      (app_encode_app(int,$o,
3.10/3.28	                      app_encode_app(int,app_encode_fun(int,$o),
3.10/3.28	                                     ord_less_eq_int,Z),
3.10/3.28	                      W) & 
3.10/3.28	       (Z != W))))).
3.10/3.28	tff('1', plain,
3.10/3.28	    ![X24 : int, X26 : int]:
3.10/3.28	      (app_encode_app(int, $o, 
3.10/3.28	         app_encode_app(int, app_encode_fun(int, $o), ord_less_int, X24), 
3.10/3.28	         X26)
3.10/3.28	       | X24 = X26
3.10/3.28	       | ~ app_encode_app(int, $o, 
3.10/3.28	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
3.10/3.28	               X24), X26)),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_54])).
3.10/3.28	tff('2', plain,
3.10/3.28	    (~ $true
3.10/3.28	     | one_one_int = t
3.10/3.28	     | app_encode_app(int, $o, 
3.10/3.28	         app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	           one_one_int), t)),
3.10/3.28	    inference('sup-', [status(thm)], ['0', '1'])).
3.10/3.28	tff('3', plain,
3.10/3.28	    (app_encode_app(int, $o, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	         one_one_int), t)
3.10/3.28	     | one_one_int = t),
3.10/3.28	    inference('simplify', [status(thm)], ['2'])).
3.10/3.28	tff(zf_stmt_28, axiom,
3.10/3.28	  (app_encode_app(int,$o,
3.10/3.28	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
3.10/3.28	                                 one_one_int),
3.10/3.28	                  t) =>
3.10/3.28	   (?[X:int,Y:int]:
3.10/3.28	      (app_encode_app(int,int,
3.10/3.28	                      app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                     plus_plus_int,
3.10/3.28	                                     app_encode_app(nat,int,
3.10/3.28	                                                    app_encode_app(int,
3.10/3.28	                                                                   app_encode_fun(
3.10/3.28	                                                                   nat,int),
3.10/3.28	                                                                   power_power_int,
3.10/3.28	                                                                   X),
3.10/3.28	                                                    app_encode_app(int,nat,
3.10/3.28	                                                                   number_number_of_nat,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit1,pls))))),
3.10/3.28	                      app_encode_app(nat,int,
3.10/3.28	                                     app_encode_app(int,
3.10/3.28	                                                    app_encode_fun(nat,int),
3.10/3.28	                                                    power_power_int,Y),
3.10/3.28	                                     app_encode_app(int,nat,
3.10/3.28	                                                    number_number_of_nat,
3.10/3.28	                                                    app_encode_app(int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit1,pls))))) =
3.10/3.28	       app_encode_app(int,int,
3.10/3.28	                      app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                     plus_plus_int,
3.10/3.28	                                     app_encode_app(int,int,
3.10/3.28	                                                    app_encode_app(int,
3.10/3.28	                                                                   app_encode_fun(
3.10/3.28	                                                                   int,int),
3.10/3.28	                                                                   times_times_int,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   number_number_of_int,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit1,pls))))),
3.10/3.28	                                                    m)),
3.10/3.28	                      one_one_int))))).
3.10/3.28	tff('4', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(nat, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	             sk_X1), 
3.10/3.28	           app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	             app_encode_app(int, int, bit0, 
3.10/3.28	               app_encode_app(int, int, bit1, pls))))), 
3.10/3.28	       app_encode_app(nat, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	           sk_Y1), 
3.10/3.28	         app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	           app_encode_app(int, int, bit0, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)))))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            app_encode_app(int, int, 
3.10/3.28	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	                app_encode_app(int, int, number_number_of_int, 
3.10/3.28	                  app_encode_app(int, int, bit0, 
3.10/3.28	                    app_encode_app(int, int, bit0, 
3.10/3.28	                      app_encode_app(int, int, bit1, pls))))), m)), 
3.10/3.28	          one_one_int)
3.10/3.28	     | ~ app_encode_app(int, $o, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	             one_one_int), t)),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_28])).
3.10/3.28	tff(zf_stmt_137, axiom,
3.10/3.28	  (![K:int]: (app_encode_app(int,int,number_number_of_int,K) = K))).
3.10/3.28	tff('5', plain,
3.10/3.28	    ![X245 : int]:
3.10/3.28	      app_encode_app(int, int, number_number_of_int, X245) = X245,
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_137])).
3.10/3.28	tff(zf_stmt_128, axiom,
3.10/3.28	  (![A:int,C:int]:
3.10/3.28	     (app_encode_app(int,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                    plus_plus_int,A),
3.10/3.28	                     C) =
3.10/3.28	      app_encode_app(int,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                    plus_plus_int,C),
3.10/3.28	                     A)))).
3.10/3.28	tff('6', plain,
3.10/3.28	    ![X221 : int, X222 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X222), 
3.10/3.28	        X221)
3.10/3.28	       = app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X221), 
3.10/3.28	           X222),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_128])).
3.10/3.28	tff('7', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(nat, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	             sk_X1), 
3.10/3.28	           app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	             app_encode_app(int, int, bit0, 
3.10/3.28	               app_encode_app(int, int, bit1, pls))))), 
3.10/3.28	       app_encode_app(nat, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	           sk_Y1), 
3.10/3.28	         app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	           app_encode_app(int, int, bit0, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)))))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            one_one_int), 
3.10/3.28	          app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	              app_encode_app(int, int, bit0, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit1, pls)))), m))
3.10/3.28	     | ~ app_encode_app(int, $o, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	             one_one_int), t)),
3.10/3.28	    inference('demod', [status(thm)], ['4', '5', '6'])).
3.10/3.28	tff(zf_stmt_42, axiom,
3.10/3.28	  (![X_10:int]:
3.10/3.28	     (app_encode_app(int,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                    times_times_int,X_10),
3.10/3.28	                     X_10) =
3.10/3.28	      app_encode_app(nat,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(nat,int),
3.10/3.28	                                    power_power_int,X_10),
3.10/3.28	                     app_encode_app(int,nat,number_number_of_nat,
3.10/3.28	                                    app_encode_app(int,int,bit0,
3.10/3.28	                                                   app_encode_app(int,int,
3.10/3.28	                                                                  bit1,pls))))))).
3.10/3.28	tff('8', plain,
3.10/3.28	    ![X11 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X11), 
3.10/3.28	        X11)
3.10/3.28	       = app_encode_app(nat, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	             X11), 
3.10/3.28	           app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	             app_encode_app(int, int, bit0, 
3.10/3.28	               app_encode_app(int, int, bit1, pls)))),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_42])).
3.10/3.28	tff('9', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	             sk_X1), sk_X1)), 
3.10/3.28	       app_encode_app(int, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	           sk_Y1), sk_Y1))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            one_one_int), 
3.10/3.28	          app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	              app_encode_app(int, int, bit0, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit1, pls)))), m))
3.10/3.28	     | ~ app_encode_app(int, $o, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	             one_one_int), t)),
3.10/3.28	    inference('demod', [status(thm)], ['7', '8', '8'])).
3.10/3.28	tff(zf_stmt_48, axiom,
3.10/3.28	  (![W_4:int]:
3.10/3.28	     (app_encode_app(int,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                    plus_plus_int,one_one_int),
3.10/3.28	                     app_encode_app(int,int,number_number_of_int,W_4)) =
3.10/3.28	      app_encode_app(int,int,number_number_of_int,
3.10/3.28	                     app_encode_app(int,int,
3.10/3.28	                                    app_encode_app(int,
3.10/3.28	                                                   app_encode_fun(int,int),
3.10/3.28	                                                   plus_plus_int,
3.10/3.28	                                                   app_encode_app(int,int,
3.10/3.28	                                                                  bit1,pls)),
3.10/3.28	                                    W_4))))).
3.10/3.28	tff('10', plain,
3.10/3.28	    ![X19 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	          one_one_int), app_encode_app(int, int, number_number_of_int, X19))
3.10/3.28	       = app_encode_app(int, int, number_number_of_int, 
3.10/3.28	           app_encode_app(int, int, 
3.10/3.28	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	               app_encode_app(int, int, bit1, pls)), X19)),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_48])).
3.10/3.28	tff('11', plain,
3.10/3.28	    ![X19 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	          one_one_int), X19)
3.10/3.28	       = app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)), X19),
3.10/3.28	    inference('demod', [status(thm)], ['10', '5', '5'])).
3.10/3.28	tff('12', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	             sk_X1), sk_X1)), 
3.10/3.28	       app_encode_app(int, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	           sk_Y1), sk_Y1))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            app_encode_app(int, int, bit1, pls)), 
3.10/3.28	          app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	              app_encode_app(int, int, bit0, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit1, pls)))), m))
3.10/3.28	     | ~ app_encode_app(int, $o, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	             one_one_int), t)),
3.10/3.28	    inference('demod', [status(thm)], ['9', '11'])).
3.10/3.28	tff(zf_stmt_149, conjecture,
3.10/3.28	  (?[X:int,Y:int]:
3.10/3.28	     (app_encode_app(int,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                    plus_plus_int,
3.10/3.28	                                    app_encode_app(nat,int,
3.10/3.28	                                                   app_encode_app(int,
3.10/3.28	                                                                  app_encode_fun(
3.10/3.28	                                                                  nat,int),
3.10/3.28	                                                                  power_power_int,
3.10/3.28	                                                                  X),
3.10/3.28	                                                   app_encode_app(int,nat,
3.10/3.28	                                                                  number_number_of_nat,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  bit0,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  bit1,pls))))),
3.10/3.28	                     app_encode_app(nat,int,
3.10/3.28	                                    app_encode_app(int,
3.10/3.28	                                                   app_encode_fun(nat,int),
3.10/3.28	                                                   power_power_int,Y),
3.10/3.28	                                    app_encode_app(int,nat,
3.10/3.28	                                                   number_number_of_nat,
3.10/3.28	                                                   app_encode_app(int,int,
3.10/3.28	                                                                  bit0,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  bit1,pls))))) =
3.10/3.28	      app_encode_app(int,int,
3.10/3.28	                     app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                    plus_plus_int,
3.10/3.28	                                    app_encode_app(int,int,
3.10/3.28	                                                   app_encode_app(int,
3.10/3.28	                                                                  app_encode_fun(
3.10/3.28	                                                                  int,int),
3.10/3.28	                                                                  times_times_int,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  number_number_of_int,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  bit0,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  bit0,
3.10/3.28	                                                                  app_encode_app(
3.10/3.28	                                                                  int,int,
3.10/3.28	                                                                  bit1,pls))))),
3.10/3.28	                                                   m)),
3.10/3.28	                     one_one_int)))).
3.10/3.28	tff(zf_stmt_0, negated_conjecture,
3.10/3.28	  (~
3.10/3.28	    (?[X:int,Y:int]:
3.10/3.28	       (app_encode_app(int,int,
3.10/3.28	                       app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                      plus_plus_int,
3.10/3.28	                                      app_encode_app(nat,int,
3.10/3.28	                                                     app_encode_app(int,
3.10/3.28	                                                                    app_encode_fun(
3.10/3.28	                                                                    nat,int),
3.10/3.28	                                                                    power_power_int,
3.10/3.28	                                                                    X),
3.10/3.28	                                                     app_encode_app(int,nat,
3.10/3.28	                                                                    number_number_of_nat,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    bit0,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    bit1,pls))))),
3.10/3.28	                       app_encode_app(nat,int,
3.10/3.28	                                      app_encode_app(int,
3.10/3.28	                                                     app_encode_fun(nat,int),
3.10/3.28	                                                     power_power_int,Y),
3.10/3.28	                                      app_encode_app(int,nat,
3.10/3.28	                                                     number_number_of_nat,
3.10/3.28	                                                     app_encode_app(int,int,
3.10/3.28	                                                                    bit0,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    bit1,pls))))) =
3.10/3.28	        app_encode_app(int,int,
3.10/3.28	                       app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                      plus_plus_int,
3.10/3.28	                                      app_encode_app(int,int,
3.10/3.28	                                                     app_encode_app(int,
3.10/3.28	                                                                    app_encode_fun(
3.10/3.28	                                                                    int,int),
3.10/3.28	                                                                    times_times_int,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    number_number_of_int,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    bit0,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    bit0,
3.10/3.28	                                                                    app_encode_app(
3.10/3.28	                                                                    int,int,
3.10/3.28	                                                                    bit1,pls))))),
3.10/3.28	                                                     m)),
3.10/3.28	                       one_one_int))))).
3.10/3.28	tff('13', plain,
3.10/3.28	    ![X274 : int, X275 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	          app_encode_app(nat, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	              X274), 
3.10/3.28	            app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	              app_encode_app(int, int, bit0, 
3.10/3.28	                app_encode_app(int, int, bit1, pls))))), 
3.10/3.28	        app_encode_app(nat, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	            X275), 
3.10/3.28	          app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	            app_encode_app(int, int, bit0, 
3.10/3.28	              app_encode_app(int, int, bit1, pls)))))
3.10/3.28	       != app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	              app_encode_app(int, int, 
3.10/3.28	                app_encode_app(int, app_encode_fun(int, int), 
3.10/3.28	                  times_times_int, 
3.10/3.28	                  app_encode_app(int, int, number_number_of_int, 
3.10/3.28	                    app_encode_app(int, int, bit0, 
3.10/3.28	                      app_encode_app(int, int, bit0, 
3.10/3.28	                        app_encode_app(int, int, bit1, pls))))), m)), 
3.10/3.28	            one_one_int),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.10/3.28	tff('14', plain,
3.10/3.28	    ![X0 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
3.10/3.28	        one_one_int)
3.10/3.28	       = app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)), X0),
3.10/3.28	    inference('sup+', [status(thm)], ['11', '6'])).
3.10/3.28	tff('15', plain,
3.10/3.28	    ![X0 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
3.10/3.28	        app_encode_app(int, int, bit1, pls))
3.10/3.28	       = app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
3.10/3.28	           one_one_int),
3.10/3.28	    inference('sup+', [status(thm)], ['14', '6'])).
3.10/3.28	tff('16', plain,
3.10/3.28	    ![X274 : int, X275 : int]:
3.10/3.28	      app_encode_app(int, int, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	          app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	              X274), X274)), 
3.10/3.28	        app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	            X275), X275))
3.10/3.28	       != app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	              app_encode_app(int, int, bit1, pls)), 
3.10/3.28	            app_encode_app(int, int, 
3.10/3.28	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit0, 
3.10/3.28	                    app_encode_app(int, int, bit1, pls)))), m)),
3.10/3.28	    inference('demod', [status(thm)], ['13', '8', '8', '5', '15', '6'])).
3.10/3.28	tff('17', plain,
3.10/3.28	    ~ app_encode_app(int, $o, 
3.10/3.28	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
3.10/3.28	          one_one_int), t),
3.10/3.28	    inference('simplify_reflect-', [status(thm)], ['12', '16'])).
3.10/3.28	tff('18', plain, (~ $true | one_one_int = t),
3.10/3.28	    inference('sup-', [status(thm)], ['3', '17'])).
3.10/3.28	tff('19', plain, one_one_int = t,
3.10/3.28	    inference('simplify', [status(thm)], ['18'])).
3.10/3.28	tff(zf_stmt_27, axiom,
3.10/3.28	  ((t = one_one_int) =>
3.10/3.28	   (?[X:int,Y:int]:
3.10/3.28	      (app_encode_app(int,int,
3.10/3.28	                      app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                     plus_plus_int,
3.10/3.28	                                     app_encode_app(nat,int,
3.10/3.28	                                                    app_encode_app(int,
3.10/3.28	                                                                   app_encode_fun(
3.10/3.28	                                                                   nat,int),
3.10/3.28	                                                                   power_power_int,
3.10/3.28	                                                                   X),
3.10/3.28	                                                    app_encode_app(int,nat,
3.10/3.28	                                                                   number_number_of_nat,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit1,pls))))),
3.10/3.28	                      app_encode_app(nat,int,
3.10/3.28	                                     app_encode_app(int,
3.10/3.28	                                                    app_encode_fun(nat,int),
3.10/3.28	                                                    power_power_int,Y),
3.10/3.28	                                     app_encode_app(int,nat,
3.10/3.28	                                                    number_number_of_nat,
3.10/3.28	                                                    app_encode_app(int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit1,pls))))) =
3.10/3.28	       app_encode_app(int,int,
3.10/3.28	                      app_encode_app(int,app_encode_fun(int,int),
3.10/3.28	                                     plus_plus_int,
3.10/3.28	                                     app_encode_app(int,int,
3.10/3.28	                                                    app_encode_app(int,
3.10/3.28	                                                                   app_encode_fun(
3.10/3.28	                                                                   int,int),
3.10/3.28	                                                                   times_times_int,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   number_number_of_int,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit0,
3.10/3.28	                                                                   app_encode_app(
3.10/3.28	                                                                   int,int,
3.10/3.28	                                                                   bit1,pls))))),
3.10/3.28	                                                    m)),
3.10/3.28	                      one_one_int))))).
3.10/3.28	tff('20', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(nat, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	             sk_X), 
3.10/3.28	           app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	             app_encode_app(int, int, bit0, 
3.10/3.28	               app_encode_app(int, int, bit1, pls))))), 
3.10/3.28	       app_encode_app(nat, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, sk_Y), 
3.10/3.28	         app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	           app_encode_app(int, int, bit0, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)))))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            app_encode_app(int, int, 
3.10/3.28	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	                app_encode_app(int, int, number_number_of_int, 
3.10/3.28	                  app_encode_app(int, int, bit0, 
3.10/3.28	                    app_encode_app(int, int, bit0, 
3.10/3.28	                      app_encode_app(int, int, bit1, pls))))), m)), 
3.10/3.28	          one_one_int)
3.10/3.28	     | t != one_one_int),
3.10/3.28	    inference('cnf', [status(esa)], [zf_stmt_27])).
3.10/3.28	tff('21', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(nat, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	             sk_X), 
3.10/3.28	           app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	             app_encode_app(int, int, bit0, 
3.10/3.28	               app_encode_app(int, int, bit1, pls))))), 
3.10/3.28	       app_encode_app(nat, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, sk_Y), 
3.10/3.28	         app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	           app_encode_app(int, int, bit0, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)))))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            app_encode_app(int, int, 
3.10/3.28	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit0, 
3.10/3.28	                    app_encode_app(int, int, bit1, pls)))), m)), one_one_int)
3.10/3.28	     | t != one_one_int),
3.10/3.28	    inference('demod', [status(thm)], ['20', '5'])).
3.10/3.28	tff('22', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(nat, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
3.10/3.28	             sk_X), 
3.10/3.28	           app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	             app_encode_app(int, int, bit0, 
3.10/3.28	               app_encode_app(int, int, bit1, pls))))), 
3.10/3.28	       app_encode_app(nat, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, sk_Y), 
3.10/3.28	         app_encode_app(int, nat, number_number_of_nat, 
3.10/3.28	           app_encode_app(int, int, bit0, 
3.10/3.28	             app_encode_app(int, int, bit1, pls)))))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            one_one_int), 
3.10/3.28	          app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	              app_encode_app(int, int, bit0, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit1, pls)))), m))
3.10/3.28	     | t != one_one_int),
3.10/3.28	    inference('demod', [status(thm)], ['21', '6'])).
3.10/3.28	tff('23', plain,
3.10/3.28	    (app_encode_app(int, int, 
3.10/3.28	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	         app_encode_app(int, int, 
3.10/3.28	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	             sk_X), sk_X)), 
3.10/3.28	       app_encode_app(int, int, 
3.10/3.28	         app_encode_app(int, app_encode_fun(int, int), times_times_int, sk_Y), 
3.10/3.28	         sk_Y))
3.10/3.28	      = app_encode_app(int, int, 
3.10/3.28	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
3.10/3.28	            app_encode_app(int, int, bit1, pls)), 
3.10/3.28	          app_encode_app(int, int, 
3.10/3.28	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
3.10/3.28	              app_encode_app(int, int, bit0, 
3.10/3.28	                app_encode_app(int, int, bit0, 
3.10/3.28	                  app_encode_app(int, int, bit1, pls)))), m))
3.10/3.28	     | t != one_one_int),
3.10/3.28	    inference('demod', [status(thm)], ['22', '8', '8', '11'])).
3.10/3.28	tff('24', plain, t != one_one_int,
3.10/3.28	    inference('simplify_reflect-', [status(thm)], ['23', '16'])).
3.10/3.28	tff('25', plain, $false,
3.10/3.28	    inference('simplify_reflect-', [status(thm)], ['19', '24'])).
3.10/3.28	
3.10/3.28	% SZS output end Refutation
3.10/3.28	EOF
