0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
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   : n146.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 07:33:39 CST 2018
2.55/2.75	% done 1159 iterations in 2.544s
2.55/2.75	% SZS status Theorem for 'stdin'
2.55/2.75	% SZS output start Refutation
2.55/2.75	tff(zf_stmt_28, axiom,
2.55/2.75	  ((t = one_one_int) =>
2.55/2.75	   (?[X:int,Y:int]:
2.55/2.75	      (app_encode_app(int,int,
2.55/2.75	                      app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                     plus_plus_int,
2.55/2.75	                                     app_encode_app(nat,int,
2.55/2.75	                                                    app_encode_app(int,
2.55/2.75	                                                                   app_encode_fun(
2.55/2.75	                                                                   nat,int),
2.55/2.75	                                                                   power_power_int,
2.55/2.75	                                                                   X),
2.55/2.75	                                                    app_encode_app(int,nat,
2.55/2.75	                                                                   number_number_of_nat,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit1,pls))))),
2.55/2.75	                      app_encode_app(nat,int,
2.55/2.75	                                     app_encode_app(int,
2.55/2.75	                                                    app_encode_fun(nat,int),
2.55/2.75	                                                    power_power_int,Y),
2.55/2.75	                                     app_encode_app(int,nat,
2.55/2.75	                                                    number_number_of_nat,
2.55/2.75	                                                    app_encode_app(int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit1,pls))))) =
2.55/2.75	       app_encode_app(int,int,
2.55/2.75	                      app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                     plus_plus_int,
2.55/2.75	                                     app_encode_app(int,int,
2.55/2.75	                                                    app_encode_app(int,
2.55/2.75	                                                                   app_encode_fun(
2.55/2.75	                                                                   int,int),
2.55/2.75	                                                                   times_times_int,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   number_number_of_int,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit1,pls))))),
2.55/2.75	                                                    m)),
2.55/2.75	                      one_one_int))))).
2.55/2.75	tff('0', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(nat, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	             sk_X), 
2.55/2.75	           app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	             app_encode_app(int, int, bit0, 
2.55/2.75	               app_encode_app(int, int, bit1, pls))))), 
2.55/2.75	       app_encode_app(nat, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, sk_Y), 
2.55/2.75	         app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	           app_encode_app(int, int, bit0, 
2.55/2.75	             app_encode_app(int, int, bit1, pls)))))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            app_encode_app(int, int, 
2.55/2.75	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	                app_encode_app(int, int, number_number_of_int, 
2.55/2.75	                  app_encode_app(int, int, bit0, 
2.55/2.75	                    app_encode_app(int, int, bit0, 
2.55/2.75	                      app_encode_app(int, int, bit1, pls))))), m)), 
2.55/2.75	          one_one_int)
2.55/2.75	     | t != one_one_int),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_28])).
2.55/2.75	tff(zf_stmt_138, axiom,
2.55/2.75	  (![K_1:int]: (app_encode_app(int,int,number_number_of_int,K_1) = K_1))).
2.55/2.75	tff('1', plain,
2.55/2.75	    ![X249 : int]:
2.55/2.75	      app_encode_app(int, int, number_number_of_int, X249) = X249,
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_138])).
2.55/2.75	tff(zf_stmt_129, axiom,
2.55/2.75	  (![A:int,C:int]:
2.55/2.75	     (app_encode_app(int,int,
2.55/2.75	                     app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                    plus_plus_int,A),
2.55/2.75	                     C) =
2.55/2.75	      app_encode_app(int,int,
2.55/2.75	                     app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                    plus_plus_int,C),
2.55/2.75	                     A)))).
2.55/2.75	tff('2', plain,
2.55/2.75	    ![X225 : int, X226 : int]:
2.55/2.75	      app_encode_app(int, int, 
2.55/2.75	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X226), 
2.55/2.75	        X225)
2.55/2.75	       = app_encode_app(int, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X225), 
2.55/2.75	           X226),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_129])).
2.55/2.75	tff('3', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(nat, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	             sk_X), 
2.55/2.75	           app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	             app_encode_app(int, int, bit0, 
2.55/2.75	               app_encode_app(int, int, bit1, pls))))), 
2.55/2.75	       app_encode_app(nat, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, sk_Y), 
2.55/2.75	         app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	           app_encode_app(int, int, bit0, 
2.55/2.75	             app_encode_app(int, int, bit1, pls)))))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            one_one_int), 
2.55/2.75	          app_encode_app(int, int, 
2.55/2.75	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	              app_encode_app(int, int, bit0, 
2.55/2.75	                app_encode_app(int, int, bit0, 
2.55/2.75	                  app_encode_app(int, int, bit1, pls)))), m))
2.55/2.75	     | t != one_one_int),
2.55/2.75	    inference('demod', [status(thm)], ['0', '1', '2'])).
2.55/2.75	tff(zf_stmt_43, axiom,
2.55/2.75	  (![X_7:int]:
2.55/2.75	     (app_encode_app(int,int,
2.55/2.75	                     app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                    times_times_int,X_7),
2.55/2.75	                     X_7) =
2.55/2.75	      app_encode_app(nat,int,
2.55/2.75	                     app_encode_app(int,app_encode_fun(nat,int),
2.55/2.75	                                    power_power_int,X_7),
2.55/2.75	                     app_encode_app(int,nat,number_number_of_nat,
2.55/2.75	                                    app_encode_app(int,int,bit0,
2.55/2.75	                                                   app_encode_app(int,int,
2.55/2.75	                                                                  bit1,pls))))))).
2.55/2.75	tff('4', plain,
2.55/2.75	    ![X15 : int]:
2.55/2.75	      app_encode_app(int, int, 
2.55/2.75	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X15), 
2.55/2.75	        X15)
2.55/2.75	       = app_encode_app(nat, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	             X15), 
2.55/2.75	           app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	             app_encode_app(int, int, bit0, 
2.55/2.75	               app_encode_app(int, int, bit1, pls)))),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_43])).
2.55/2.75	tff('5', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(int, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	             sk_X), sk_X)), 
2.55/2.75	       app_encode_app(int, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(int, int), times_times_int, sk_Y), 
2.55/2.75	         sk_Y))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            one_one_int), 
2.55/2.75	          app_encode_app(int, int, 
2.55/2.75	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	              app_encode_app(int, int, bit0, 
2.55/2.75	                app_encode_app(int, int, bit0, 
2.55/2.75	                  app_encode_app(int, int, bit1, pls)))), m))
2.55/2.75	     | t != one_one_int),
2.55/2.75	    inference('demod', [status(thm)], ['3', '4', '4'])).
2.55/2.75	tff(zf_stmt_49, axiom,
2.55/2.75	  (![W_3:int]:
2.55/2.75	     (app_encode_app(int,int,
2.55/2.75	                     app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                    plus_plus_int,one_one_int),
2.55/2.75	                     app_encode_app(int,int,number_number_of_int,W_3)) =
2.55/2.75	      app_encode_app(int,int,number_number_of_int,
2.55/2.75	                     app_encode_app(int,int,
2.55/2.75	                                    app_encode_app(int,
2.55/2.75	                                                   app_encode_fun(int,int),
2.55/2.75	                                                   plus_plus_int,
2.55/2.75	                                                   app_encode_app(int,int,
2.55/2.75	                                                                  bit1,pls)),
2.55/2.75	                                    W_3))))).
2.55/2.75	tff('6', plain,
2.55/2.75	    ![X23 : int]:
2.55/2.75	      app_encode_app(int, int, 
2.55/2.75	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	          one_one_int), app_encode_app(int, int, number_number_of_int, X23))
2.55/2.75	       = app_encode_app(int, int, number_number_of_int, 
2.55/2.75	           app_encode_app(int, int, 
2.55/2.75	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	               app_encode_app(int, int, bit1, pls)), X23)),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_49])).
2.55/2.75	tff('7', plain,
2.55/2.75	    ![X23 : int]:
2.55/2.75	      app_encode_app(int, int, 
2.55/2.75	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	          one_one_int), X23)
2.55/2.75	       = app_encode_app(int, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	             app_encode_app(int, int, bit1, pls)), X23),
2.55/2.75	    inference('demod', [status(thm)], ['6', '1', '1'])).
2.55/2.75	tff(zf_stmt_27, axiom,
2.55/2.75	  (app_encode_app(int,$o,
2.55/2.75	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq_int,
2.55/2.75	                                 one_one_int),
2.55/2.75	                  t))).
2.55/2.75	tff('8', plain,
2.55/2.75	    app_encode_app(int, $o, 
2.55/2.75	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.55/2.75	        one_one_int), t),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_27])).
2.55/2.75	tff(zf_stmt_55, axiom,
2.55/2.75	  (![Z_1:int,W_1:int]:
2.55/2.75	     (app_encode_app(int,$o,
2.55/2.75	                     app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
2.55/2.75	                                    Z_1),
2.55/2.75	                     W_1) <=>
2.55/2.75	      (app_encode_app(int,$o,
2.55/2.75	                      app_encode_app(int,app_encode_fun(int,$o),
2.55/2.75	                                     ord_less_eq_int,Z_1),
2.55/2.75	                      W_1) & 
2.55/2.75	       (Z_1 != W_1))))).
2.55/2.75	tff('9', plain,
2.55/2.75	    ![X28 : int, X30 : int]:
2.55/2.75	      (app_encode_app(int, $o, 
2.55/2.75	         app_encode_app(int, app_encode_fun(int, $o), ord_less_int, X28), 
2.55/2.75	         X30)
2.55/2.75	       | X28 = X30
2.55/2.75	       | ~ app_encode_app(int, $o, 
2.55/2.75	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.55/2.75	               X28), X30)),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_55])).
2.55/2.75	tff('10', plain,
2.55/2.75	    (~ $true
2.55/2.75	     | one_one_int = t
2.55/2.75	     | app_encode_app(int, $o, 
2.55/2.75	         app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.75	           one_one_int), t)),
2.55/2.75	    inference('sup-', [status(thm)], ['8', '9'])).
2.55/2.75	tff('11', plain,
2.55/2.75	    (app_encode_app(int, $o, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.75	         one_one_int), t)
2.55/2.75	     | one_one_int = t),
2.55/2.75	    inference('simplify', [status(thm)], ['10'])).
2.55/2.75	tff(zf_stmt_29, axiom,
2.55/2.75	  (app_encode_app(int,$o,
2.55/2.75	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
2.55/2.75	                                 one_one_int),
2.55/2.75	                  t) =>
2.55/2.75	   (?[X:int,Y:int]:
2.55/2.75	      (app_encode_app(int,int,
2.55/2.75	                      app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                     plus_plus_int,
2.55/2.75	                                     app_encode_app(nat,int,
2.55/2.75	                                                    app_encode_app(int,
2.55/2.75	                                                                   app_encode_fun(
2.55/2.75	                                                                   nat,int),
2.55/2.75	                                                                   power_power_int,
2.55/2.75	                                                                   X),
2.55/2.75	                                                    app_encode_app(int,nat,
2.55/2.75	                                                                   number_number_of_nat,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit1,pls))))),
2.55/2.75	                      app_encode_app(nat,int,
2.55/2.75	                                     app_encode_app(int,
2.55/2.75	                                                    app_encode_fun(nat,int),
2.55/2.75	                                                    power_power_int,Y),
2.55/2.75	                                     app_encode_app(int,nat,
2.55/2.75	                                                    number_number_of_nat,
2.55/2.75	                                                    app_encode_app(int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit1,pls))))) =
2.55/2.75	       app_encode_app(int,int,
2.55/2.75	                      app_encode_app(int,app_encode_fun(int,int),
2.55/2.75	                                     plus_plus_int,
2.55/2.75	                                     app_encode_app(int,int,
2.55/2.75	                                                    app_encode_app(int,
2.55/2.75	                                                                   app_encode_fun(
2.55/2.75	                                                                   int,int),
2.55/2.75	                                                                   times_times_int,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   number_number_of_int,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit0,
2.55/2.75	                                                                   app_encode_app(
2.55/2.75	                                                                   int,int,
2.55/2.75	                                                                   bit1,pls))))),
2.55/2.75	                                                    m)),
2.55/2.75	                      one_one_int))))).
2.55/2.75	tff('12', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(nat, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	             sk_X1), 
2.55/2.75	           app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	             app_encode_app(int, int, bit0, 
2.55/2.75	               app_encode_app(int, int, bit1, pls))))), 
2.55/2.75	       app_encode_app(nat, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	           sk_Y1), 
2.55/2.75	         app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	           app_encode_app(int, int, bit0, 
2.55/2.75	             app_encode_app(int, int, bit1, pls)))))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            app_encode_app(int, int, 
2.55/2.75	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	                app_encode_app(int, int, number_number_of_int, 
2.55/2.75	                  app_encode_app(int, int, bit0, 
2.55/2.75	                    app_encode_app(int, int, bit0, 
2.55/2.75	                      app_encode_app(int, int, bit1, pls))))), m)), 
2.55/2.75	          one_one_int)
2.55/2.75	     | ~ app_encode_app(int, $o, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.75	             one_one_int), t)),
2.55/2.75	    inference('cnf', [status(esa)], [zf_stmt_29])).
2.55/2.75	tff('13', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(nat, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	             sk_X1), 
2.55/2.75	           app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	             app_encode_app(int, int, bit0, 
2.55/2.75	               app_encode_app(int, int, bit1, pls))))), 
2.55/2.75	       app_encode_app(nat, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.75	           sk_Y1), 
2.55/2.75	         app_encode_app(int, nat, number_number_of_nat, 
2.55/2.75	           app_encode_app(int, int, bit0, 
2.55/2.75	             app_encode_app(int, int, bit1, pls)))))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            one_one_int), 
2.55/2.75	          app_encode_app(int, int, 
2.55/2.75	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	              app_encode_app(int, int, bit0, 
2.55/2.75	                app_encode_app(int, int, bit0, 
2.55/2.75	                  app_encode_app(int, int, bit1, pls)))), m))
2.55/2.75	     | ~ app_encode_app(int, $o, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.75	             one_one_int), t)),
2.55/2.75	    inference('demod', [status(thm)], ['12', '1', '2'])).
2.55/2.75	tff('14', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(int, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	             sk_X1), sk_X1)), 
2.55/2.75	       app_encode_app(int, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	           sk_Y1), sk_Y1))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            one_one_int), 
2.55/2.75	          app_encode_app(int, int, 
2.55/2.75	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	              app_encode_app(int, int, bit0, 
2.55/2.75	                app_encode_app(int, int, bit0, 
2.55/2.75	                  app_encode_app(int, int, bit1, pls)))), m))
2.55/2.75	     | ~ app_encode_app(int, $o, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.75	             one_one_int), t)),
2.55/2.75	    inference('demod', [status(thm)], ['13', '4', '4'])).
2.55/2.75	tff('15', plain,
2.55/2.75	    (app_encode_app(int, int, 
2.55/2.75	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	         app_encode_app(int, int, 
2.55/2.75	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	             sk_X1), sk_X1)), 
2.55/2.75	       app_encode_app(int, int, 
2.55/2.75	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	           sk_Y1), sk_Y1))
2.55/2.75	      = app_encode_app(int, int, 
2.55/2.75	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.75	            app_encode_app(int, int, bit1, pls)), 
2.55/2.75	          app_encode_app(int, int, 
2.55/2.75	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.75	              app_encode_app(int, int, bit0, 
2.55/2.76	                app_encode_app(int, int, bit0, 
2.55/2.76	                  app_encode_app(int, int, bit1, pls)))), m))
2.55/2.76	     | ~ app_encode_app(int, $o, 
2.55/2.76	           app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.76	             one_one_int), t)),
2.55/2.76	    inference('demod', [status(thm)], ['14', '7'])).
2.55/2.76	tff(zf_stmt_150, conjecture,
2.55/2.76	  (?[X:int,Y:int]:
2.55/2.76	     (app_encode_app(int,int,
2.55/2.76	                     app_encode_app(int,app_encode_fun(int,int),
2.55/2.76	                                    plus_plus_int,
2.55/2.76	                                    app_encode_app(nat,int,
2.55/2.76	                                                   app_encode_app(int,
2.55/2.76	                                                                  app_encode_fun(
2.55/2.76	                                                                  nat,int),
2.55/2.76	                                                                  power_power_int,
2.55/2.76	                                                                  X),
2.55/2.76	                                                   app_encode_app(int,nat,
2.55/2.76	                                                                  number_number_of_nat,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  bit0,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  bit1,pls))))),
2.55/2.76	                     app_encode_app(nat,int,
2.55/2.76	                                    app_encode_app(int,
2.55/2.76	                                                   app_encode_fun(nat,int),
2.55/2.76	                                                   power_power_int,Y),
2.55/2.76	                                    app_encode_app(int,nat,
2.55/2.76	                                                   number_number_of_nat,
2.55/2.76	                                                   app_encode_app(int,int,
2.55/2.76	                                                                  bit0,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  bit1,pls))))) =
2.55/2.76	      app_encode_app(int,int,
2.55/2.76	                     app_encode_app(int,app_encode_fun(int,int),
2.55/2.76	                                    plus_plus_int,
2.55/2.76	                                    app_encode_app(int,int,
2.55/2.76	                                                   app_encode_app(int,
2.55/2.76	                                                                  app_encode_fun(
2.55/2.76	                                                                  int,int),
2.55/2.76	                                                                  times_times_int,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  number_number_of_int,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  bit0,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  bit0,
2.55/2.76	                                                                  app_encode_app(
2.55/2.76	                                                                  int,int,
2.55/2.76	                                                                  bit1,pls))))),
2.55/2.76	                                                   m)),
2.55/2.76	                     one_one_int)))).
2.55/2.76	tff(zf_stmt_0, negated_conjecture,
2.55/2.76	  (~
2.55/2.76	    (?[X:int,Y:int]:
2.55/2.76	       (app_encode_app(int,int,
2.55/2.76	                       app_encode_app(int,app_encode_fun(int,int),
2.55/2.76	                                      plus_plus_int,
2.55/2.76	                                      app_encode_app(nat,int,
2.55/2.76	                                                     app_encode_app(int,
2.55/2.76	                                                                    app_encode_fun(
2.55/2.76	                                                                    nat,int),
2.55/2.76	                                                                    power_power_int,
2.55/2.76	                                                                    X),
2.55/2.76	                                                     app_encode_app(int,nat,
2.55/2.76	                                                                    number_number_of_nat,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    bit0,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    bit1,pls))))),
2.55/2.76	                       app_encode_app(nat,int,
2.55/2.76	                                      app_encode_app(int,
2.55/2.76	                                                     app_encode_fun(nat,int),
2.55/2.76	                                                     power_power_int,Y),
2.55/2.76	                                      app_encode_app(int,nat,
2.55/2.76	                                                     number_number_of_nat,
2.55/2.76	                                                     app_encode_app(int,int,
2.55/2.76	                                                                    bit0,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    bit1,pls))))) =
2.55/2.76	        app_encode_app(int,int,
2.55/2.76	                       app_encode_app(int,app_encode_fun(int,int),
2.55/2.76	                                      plus_plus_int,
2.55/2.76	                                      app_encode_app(int,int,
2.55/2.76	                                                     app_encode_app(int,
2.55/2.76	                                                                    app_encode_fun(
2.55/2.76	                                                                    int,int),
2.55/2.76	                                                                    times_times_int,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    number_number_of_int,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    bit0,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    bit0,
2.55/2.76	                                                                    app_encode_app(
2.55/2.76	                                                                    int,int,
2.55/2.76	                                                                    bit1,pls))))),
2.55/2.76	                                                     m)),
2.55/2.76	                       one_one_int))))).
2.55/2.76	tff('16', plain,
2.55/2.76	    ![X278 : int, X279 : int]:
2.55/2.76	      app_encode_app(int, int, 
2.55/2.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	          app_encode_app(nat, int, 
2.55/2.76	            app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.76	              X278), 
2.55/2.76	            app_encode_app(int, nat, number_number_of_nat, 
2.55/2.76	              app_encode_app(int, int, bit0, 
2.55/2.76	                app_encode_app(int, int, bit1, pls))))), 
2.55/2.76	        app_encode_app(nat, int, 
2.55/2.76	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.55/2.76	            X279), 
2.55/2.76	          app_encode_app(int, nat, number_number_of_nat, 
2.55/2.76	            app_encode_app(int, int, bit0, 
2.55/2.76	              app_encode_app(int, int, bit1, pls)))))
2.55/2.76	       != app_encode_app(int, int, 
2.55/2.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	              app_encode_app(int, int, 
2.55/2.76	                app_encode_app(int, app_encode_fun(int, int), 
2.55/2.76	                  times_times_int, 
2.55/2.76	                  app_encode_app(int, int, number_number_of_int, 
2.55/2.76	                    app_encode_app(int, int, bit0, 
2.55/2.76	                      app_encode_app(int, int, bit0, 
2.55/2.76	                        app_encode_app(int, int, bit1, pls))))), m)), 
2.55/2.76	            one_one_int),
2.55/2.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.55/2.76	tff('17', plain,
2.55/2.76	    ![X0 : int]:
2.55/2.76	      app_encode_app(int, int, 
2.55/2.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
2.55/2.76	        one_one_int)
2.55/2.76	       = app_encode_app(int, int, 
2.55/2.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	             app_encode_app(int, int, bit1, pls)), X0),
2.55/2.76	    inference('sup+', [status(thm)], ['7', '2'])).
2.55/2.76	tff('18', plain,
2.55/2.76	    ![X0 : int]:
2.55/2.76	      app_encode_app(int, int, 
2.55/2.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
2.55/2.76	        app_encode_app(int, int, bit1, pls))
2.55/2.76	       = app_encode_app(int, int, 
2.55/2.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
2.55/2.76	           one_one_int),
2.55/2.76	    inference('sup+', [status(thm)], ['17', '2'])).
2.55/2.76	tff('19', plain,
2.55/2.76	    ![X278 : int, X279 : int]:
2.55/2.76	      app_encode_app(int, int, 
2.55/2.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	          app_encode_app(int, int, 
2.55/2.76	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	              X278), X278)), 
2.55/2.76	        app_encode_app(int, int, 
2.55/2.76	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	            X279), X279))
2.55/2.76	       != app_encode_app(int, int, 
2.55/2.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	              app_encode_app(int, int, bit1, pls)), 
2.55/2.76	            app_encode_app(int, int, 
2.55/2.76	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	                app_encode_app(int, int, bit0, 
2.55/2.76	                  app_encode_app(int, int, bit0, 
2.55/2.76	                    app_encode_app(int, int, bit1, pls)))), m)),
2.55/2.76	    inference('demod', [status(thm)], ['16', '4', '4', '1', '18', '2'])).
2.55/2.76	tff('20', plain,
2.55/2.76	    ~ app_encode_app(int, $o, 
2.55/2.76	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.55/2.76	          one_one_int), t),
2.55/2.76	    inference('simplify_reflect-', [status(thm)], ['15', '19'])).
2.55/2.76	tff('21', plain, (~ $true | one_one_int = t),
2.55/2.76	    inference('sup-', [status(thm)], ['11', '20'])).
2.55/2.76	tff('22', plain, one_one_int = t,
2.55/2.76	    inference('simplify', [status(thm)], ['21'])).
2.55/2.76	tff('23', plain,
2.55/2.76	    (app_encode_app(int, int, 
2.55/2.76	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	         app_encode_app(int, int, 
2.55/2.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	             sk_X), sk_X)), 
2.55/2.76	       app_encode_app(int, int, 
2.55/2.76	         app_encode_app(int, app_encode_fun(int, int), times_times_int, sk_Y), 
2.55/2.76	         sk_Y))
2.55/2.76	      = app_encode_app(int, int, 
2.55/2.76	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	            app_encode_app(int, int, bit1, pls)), 
2.55/2.76	          app_encode_app(int, int, 
2.55/2.76	            app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	              app_encode_app(int, int, bit0, 
2.55/2.76	                app_encode_app(int, int, bit0, 
2.55/2.76	                  app_encode_app(int, int, bit1, pls)))), m))
2.55/2.76	     | one_one_int != one_one_int),
2.55/2.76	    inference('demod', [status(thm)], ['5', '7', '22'])).
2.55/2.76	tff('24', plain,
2.55/2.76	    app_encode_app(int, int, 
2.55/2.76	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	        app_encode_app(int, int, 
2.55/2.76	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	            sk_X), sk_X)), 
2.55/2.76	      app_encode_app(int, int, 
2.55/2.76	        app_encode_app(int, app_encode_fun(int, int), times_times_int, sk_Y), 
2.55/2.76	        sk_Y))
2.55/2.76	     = app_encode_app(int, int, 
2.55/2.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.55/2.76	           app_encode_app(int, int, bit1, pls)), 
2.55/2.76	         app_encode_app(int, int, 
2.55/2.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.55/2.76	             app_encode_app(int, int, bit0, 
2.55/2.76	               app_encode_app(int, int, bit0, 
2.55/2.76	                 app_encode_app(int, int, bit1, pls)))), m)),
2.55/2.76	    inference('simplify', [status(thm)], ['23'])).
2.55/2.76	tff('25', plain, $false,
2.55/2.76	    inference('simplify_reflect-', [status(thm)], ['24', '19'])).
2.55/2.76	
2.55/2.76	% SZS output end Refutation
2.55/2.76	EOF
