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   : n160.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 07:32:08 CST 2018
16.30/16.44	% done 6682 iterations in 16.239s
16.30/16.44	% SZS status Theorem for 'stdin'
16.30/16.44	% SZS output start Refutation
16.30/16.45	tff(zf_stmt_769, conjecture,
16.30/16.45	  (app_encode_app(nat,int,
16.30/16.45	                  app_encode_app(fun_nat_int,app_encode_fun(nat,int),
16.30/16.45	                                 hAPP_nat_int,
16.30/16.45	                                 app_encode_app(int,fun_nat_int,
16.30/16.45	                                                power_power_int,
16.30/16.45	                                                app_encode_app(int,int,
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               fun_int_int,
16.30/16.45	                                                               app_encode_fun(
16.30/16.45	                                                               int,int),
16.30/16.45	                                                               hAPP_int_int,
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               int,
16.30/16.45	                                                               fun_int_int,
16.30/16.45	                                                               plus_plus_int,
16.30/16.45	                                                               one_one_int)),
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               nat,int,
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               fun_nat_int,
16.30/16.45	                                                               app_encode_fun(
16.30/16.45	                                                               nat,int),
16.30/16.45	                                                               hAPP_nat_int,
16.30/16.45	                                                               semiri1621563631at_int),
16.30/16.45	                                                               n)))),
16.30/16.45	                  app_encode_app(int,nat,number_number_of_nat,
16.30/16.45	                                 app_encode_app(int,int,bit0,
16.30/16.45	                                                app_encode_app(int,int,bit1,
16.30/16.45	                                                               pls)))) !=
16.30/16.45	   zero_zero_int)).
16.30/16.45	tff(zf_stmt_0, negated_conjecture,
16.30/16.45	  (app_encode_app(nat,int,
16.30/16.45	                  app_encode_app(fun_nat_int,app_encode_fun(nat,int),
16.30/16.45	                                 hAPP_nat_int,
16.30/16.45	                                 app_encode_app(int,fun_nat_int,
16.30/16.45	                                                power_power_int,
16.30/16.45	                                                app_encode_app(int,int,
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               fun_int_int,
16.30/16.45	                                                               app_encode_fun(
16.30/16.45	                                                               int,int),
16.30/16.45	                                                               hAPP_int_int,
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               int,
16.30/16.45	                                                               fun_int_int,
16.30/16.45	                                                               plus_plus_int,
16.30/16.45	                                                               one_one_int)),
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               nat,int,
16.30/16.45	                                                               app_encode_app(
16.30/16.45	                                                               fun_nat_int,
16.30/16.45	                                                               app_encode_fun(
16.30/16.45	                                                               nat,int),
16.30/16.45	                                                               hAPP_nat_int,
16.30/16.45	                                                               semiri1621563631at_int),
16.30/16.45	                                                               n)))),
16.30/16.45	                  app_encode_app(int,nat,number_number_of_nat,
16.30/16.45	                                 app_encode_app(int,int,bit0,
16.30/16.45	                                                app_encode_app(int,int,bit1,
16.30/16.45	                                                               pls)))) =
16.30/16.45	   zero_zero_int)).
16.30/16.45	tff('0', plain,
16.30/16.45	    app_encode_app(nat, int, 
16.30/16.45	      app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
16.30/16.45	        app_encode_app(int, fun_nat_int, power_power_int, 
16.30/16.45	          app_encode_app(int, int, 
16.30/16.45	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	              hAPP_int_int, 
16.30/16.45	              app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
16.30/16.45	            app_encode_app(nat, int, 
16.30/16.45	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
16.30/16.45	                hAPP_nat_int, semiri1621563631at_int), n)))), 
16.30/16.45	      app_encode_app(int, nat, number_number_of_nat, 
16.30/16.45	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
16.30/16.45	     = zero_zero_int,
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.30/16.45	tff(zf_stmt_650, axiom,
16.30/16.45	  (![K_3:int]:
16.30/16.45	     (app_encode_app(int,int,number_number_of_int,
16.30/16.45	                     app_encode_app(int,int,succ,K_3)) =
16.30/16.45	      app_encode_app(int,int,
16.30/16.45	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
16.30/16.45	                                    hAPP_int_int,
16.30/16.45	                                    app_encode_app(int,fun_int_int,
16.30/16.45	                                                   plus_plus_int,one_one_int)),
16.30/16.45	                     app_encode_app(int,int,number_number_of_int,K_3))))).
16.30/16.45	tff('1', plain,
16.30/16.45	    ![X1182 : int]:
16.30/16.45	      app_encode_app(int, int, number_number_of_int, 
16.30/16.45	        app_encode_app(int, int, succ, X1182))
16.30/16.45	       = app_encode_app(int, int, 
16.30/16.45	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	             hAPP_int_int, 
16.30/16.45	             app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
16.30/16.45	           app_encode_app(int, int, number_number_of_int, X1182)),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_650])).
16.30/16.45	tff(zf_stmt_243, axiom,
16.30/16.45	  (![K:int]: (app_encode_app(int,int,number_number_of_int,K) = K))).
16.30/16.45	tff('2', plain,
16.30/16.45	    ![X259 : int]:
16.30/16.45	      app_encode_app(int, int, number_number_of_int, X259) = X259,
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_243])).
16.30/16.45	tff('3', plain,
16.30/16.45	    ![X1182 : int]:
16.30/16.45	      app_encode_app(int, int, succ, X1182)
16.30/16.45	       = app_encode_app(int, int, 
16.30/16.45	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	             hAPP_int_int, 
16.30/16.45	             app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
16.30/16.45	           X1182),
16.30/16.45	    inference('demod', [status(thm)], ['1', '2', '2'])).
16.30/16.45	tff(zf_stmt_92, axiom,
16.30/16.45	  (one_one_int =
16.30/16.45	   app_encode_app(int,int,number_number_of_int,
16.30/16.45	                  app_encode_app(int,int,bit1,pls)))).
16.30/16.45	tff('4', plain,
16.30/16.45	    one_one_int
16.30/16.45	     = app_encode_app(int, int, number_number_of_int, 
16.30/16.45	         app_encode_app(int, int, bit1, pls)),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_92])).
16.30/16.45	tff('5', plain, one_one_int = app_encode_app(int, int, bit1, pls),
16.30/16.45	    inference('demod', [status(thm)], ['4', '2'])).
16.30/16.45	tff(zf_stmt_165, axiom, (pls = zero_zero_int)).
16.30/16.45	tff('6', plain, pls = zero_zero_int,
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_165])).
16.30/16.45	tff('7', plain,
16.30/16.45	    app_encode_app(nat, int, 
16.30/16.45	      app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
16.30/16.45	        app_encode_app(int, fun_nat_int, power_power_int, 
16.30/16.45	          app_encode_app(int, int, succ, 
16.30/16.45	            app_encode_app(nat, int, 
16.30/16.45	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
16.30/16.45	                hAPP_nat_int, semiri1621563631at_int), n)))), 
16.30/16.45	      app_encode_app(int, nat, number_number_of_nat, 
16.30/16.45	        app_encode_app(int, int, bit0, one_one_int)))
16.30/16.45	     = pls,
16.30/16.45	    inference('demod', [status(thm)], ['0', '3', '5', '6'])).
16.30/16.45	tff(zf_stmt_298, axiom,
16.30/16.45	  (![N_23:nat,A_62:int]:
16.30/16.45	     ((A_62 != zero_zero_int) =>
16.30/16.45	      (app_encode_app(nat,int,
16.30/16.45	                      app_encode_app(fun_nat_int,app_encode_fun(nat,int),
16.30/16.45	                                     hAPP_nat_int,
16.30/16.45	                                     app_encode_app(int,fun_nat_int,
16.30/16.45	                                                    power_power_int,A_62)),
16.30/16.45	                      N_23) !=
16.30/16.45	       zero_zero_int)))).
16.30/16.45	tff('8', plain,
16.30/16.45	    ![X383 : int, X384 : nat]:
16.30/16.45	      (app_encode_app(nat, int, 
16.30/16.45	         app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
16.30/16.45	           app_encode_app(int, fun_nat_int, power_power_int, X383)), X384)
16.30/16.45	        != zero_zero_int
16.30/16.45	       | X383 = zero_zero_int),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_298])).
16.30/16.45	tff('9', plain,
16.30/16.45	    ![X383 : int, X384 : nat]:
16.30/16.45	      (app_encode_app(nat, int, 
16.30/16.45	         app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
16.30/16.45	           app_encode_app(int, fun_nat_int, power_power_int, X383)), X384)
16.30/16.45	        != pls
16.30/16.45	       | X383 = pls),
16.30/16.45	    inference('demod', [status(thm)], ['8', '6', '6'])).
16.30/16.45	tff('10', plain,
16.30/16.45	    (pls != pls
16.30/16.45	     | app_encode_app(int, int, succ, 
16.30/16.45	         app_encode_app(nat, int, 
16.30/16.45	           app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
16.30/16.45	             hAPP_nat_int, semiri1621563631at_int), n))
16.30/16.45	        = pls),
16.30/16.45	    inference('sup-', [status(thm)], ['7', '9'])).
16.30/16.45	tff('11', plain,
16.30/16.45	    app_encode_app(int, int, succ, 
16.30/16.45	      app_encode_app(nat, int, 
16.30/16.45	        app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
16.30/16.45	          semiri1621563631at_int), n))
16.30/16.45	     = pls,
16.30/16.45	    inference('simplify', [status(thm)], ['10'])).
16.30/16.45	tff(zf_stmt_337, axiom,
16.30/16.45	  (![A_59:int]:
16.30/16.45	     app_encode_app(bool,$o,hBOOL,
16.30/16.45	                    app_encode_app(int,bool,
16.30/16.45	                                   app_encode_app(fun_int_bool,
16.30/16.45	                                                  app_encode_fun(int,bool),
16.30/16.45	                                                  hAPP_int_bool,
16.30/16.45	                                                  app_encode_app(int,
16.30/16.45	                                                                 fun_int_bool,
16.30/16.45	                                                                 app_encode_app(
16.30/16.45	                                                                 fun_int_fun_int_bool,
16.30/16.45	                                                                 app_encode_fun(
16.30/16.45	                                                                 int,
16.30/16.45	                                                                 fun_int_bool),
16.30/16.45	                                                                 hAPP_i1948725293t_bool,
16.30/16.45	                                                                 ord_less_int),
16.30/16.45	                                                                 A_59)),
16.30/16.45	                                   app_encode_app(int,int,
16.30/16.45	                                                  app_encode_app(fun_int_int,
16.30/16.45	                                                                 app_encode_fun(
16.30/16.45	                                                                 int,int),
16.30/16.45	                                                                 hAPP_int_int,
16.30/16.45	                                                                 app_encode_app(
16.30/16.45	                                                                 int,
16.30/16.45	                                                                 fun_int_int,
16.30/16.45	                                                                 plus_plus_int,
16.30/16.45	                                                                 A_59)),
16.30/16.45	                                                  one_one_int))))).
16.30/16.45	tff('12', plain,
16.30/16.45	    ![X442 : int]:
16.30/16.45	      app_encode_app(bool, $o, hBOOL, 
16.30/16.45	        app_encode_app(int, bool, 
16.30/16.45	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	            hAPP_int_bool, 
16.30/16.45	            app_encode_app(int, fun_int_bool, 
16.30/16.45	              app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                ord_less_int), X442)), 
16.30/16.45	          app_encode_app(int, int, 
16.30/16.45	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	              hAPP_int_int, 
16.30/16.45	              app_encode_app(int, fun_int_int, plus_plus_int, X442)), 
16.30/16.45	            one_one_int))),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_337])).
16.30/16.45	tff(zf_stmt_640, axiom,
16.30/16.45	  (![K:int]:
16.30/16.45	     (app_encode_app(int,int,succ,K) =
16.30/16.45	      app_encode_app(int,int,
16.30/16.45	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
16.30/16.45	                                    hAPP_int_int,
16.30/16.45	                                    app_encode_app(int,fun_int_int,
16.30/16.45	                                                   plus_plus_int,K)),
16.30/16.45	                     one_one_int)))).
16.30/16.45	tff('13', plain,
16.30/16.45	    ![X1164 : int]:
16.30/16.45	      app_encode_app(int, int, succ, X1164)
16.30/16.45	       = app_encode_app(int, int, 
16.30/16.45	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	             hAPP_int_int, 
16.30/16.45	             app_encode_app(int, fun_int_int, plus_plus_int, X1164)), 
16.30/16.45	           one_one_int),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_640])).
16.30/16.45	tff('14', plain,
16.30/16.45	    ![X442 : int]:
16.30/16.45	      app_encode_app(bool, $o, hBOOL, 
16.30/16.45	        app_encode_app(int, bool, 
16.30/16.45	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	            hAPP_int_bool, 
16.30/16.45	            app_encode_app(int, fun_int_bool, 
16.30/16.45	              app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                ord_less_int), X442)), app_encode_app(int, int, succ, X442))),
16.30/16.45	    inference('demod', [status(thm)], ['12', '13'])).
16.30/16.45	tff(zf_stmt_514, axiom,
16.30/16.45	  (![Z_3:int,Wa:int]:
16.30/16.45	     (app_encode_app(bool,$o,hBOOL,
16.30/16.45	                     app_encode_app(int,bool,
16.30/16.45	                                    app_encode_app(fun_int_bool,
16.30/16.45	                                                   app_encode_fun(int,bool),
16.30/16.45	                                                   hAPP_int_bool,
16.30/16.45	                                                   app_encode_app(int,
16.30/16.45	                                                                  fun_int_bool,
16.30/16.45	                                                                  app_encode_app(
16.30/16.45	                                                                  fun_int_fun_int_bool,
16.30/16.45	                                                                  app_encode_fun(
16.30/16.45	                                                                  int,
16.30/16.45	                                                                  fun_int_bool),
16.30/16.45	                                                                  hAPP_i1948725293t_bool,
16.30/16.45	                                                                  ord_less_int),
16.30/16.45	                                                                  Z_3)),
16.30/16.45	                                    Wa)) <=>
16.30/16.45	      (app_encode_app(bool,$o,hBOOL,
16.30/16.45	                      app_encode_app(int,bool,
16.30/16.45	                                     app_encode_app(fun_int_bool,
16.30/16.45	                                                    app_encode_fun(int,bool),
16.30/16.45	                                                    hAPP_int_bool,
16.30/16.45	                                                    app_encode_app(int,
16.30/16.45	                                                                   fun_int_bool,
16.30/16.45	                                                                   app_encode_app(
16.30/16.45	                                                                   fun_int_fun_int_bool,
16.30/16.45	                                                                   app_encode_fun(
16.30/16.45	                                                                   int,
16.30/16.45	                                                                   fun_int_bool),
16.30/16.45	                                                                   hAPP_i1948725293t_bool,
16.30/16.45	                                                                   ord_less_eq_int),
16.30/16.45	                                                                   Z_3)),
16.30/16.45	                                     Wa)) & 
16.30/16.45	       (Z_3 != Wa))))).
16.30/16.45	tff('15', plain,
16.30/16.45	    ![X883 : int, X884 : int]:
16.30/16.45	      (app_encode_app(bool, $o, hBOOL, 
16.30/16.45	         app_encode_app(int, bool, 
16.30/16.45	           app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	             hAPP_int_bool, 
16.30/16.45	             app_encode_app(int, fun_int_bool, 
16.30/16.45	               app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                 app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                 ord_less_eq_int), X883)), X884))
16.30/16.45	       | ~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	             app_encode_app(int, bool, 
16.30/16.45	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	                 hAPP_int_bool, 
16.30/16.45	                 app_encode_app(int, fun_int_bool, 
16.30/16.45	                   app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                     app_encode_fun(int, fun_int_bool), 
16.30/16.45	                     hAPP_i1948725293t_bool, ord_less_int), X883)), X884))),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_514])).
16.30/16.45	tff('16', plain,
16.30/16.45	    ![X0 : int]:
16.30/16.45	      (~ $true
16.30/16.45	       | app_encode_app(bool, $o, hBOOL, 
16.30/16.45	           app_encode_app(int, bool, 
16.30/16.45	             app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	               hAPP_int_bool, 
16.30/16.45	               app_encode_app(int, fun_int_bool, 
16.30/16.45	                 app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                   app_encode_fun(int, fun_int_bool), 
16.30/16.45	                   hAPP_i1948725293t_bool, ord_less_eq_int), X0)), 
16.30/16.45	             app_encode_app(int, int, succ, X0)))),
16.30/16.45	    inference('sup-', [status(thm)], ['14', '15'])).
16.30/16.45	tff('17', plain,
16.30/16.45	    ![X0 : int]:
16.30/16.45	      app_encode_app(bool, $o, hBOOL, 
16.30/16.45	        app_encode_app(int, bool, 
16.30/16.45	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	            hAPP_int_bool, 
16.30/16.45	            app_encode_app(int, fun_int_bool, 
16.30/16.45	              app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                ord_less_eq_int), X0)), app_encode_app(int, int, succ, X0))),
16.30/16.45	    inference('simplify', [status(thm)], ['16'])).
16.30/16.45	tff(zf_stmt_508, axiom,
16.30/16.45	  (![Z_2:int,W:int]:
16.30/16.45	     (app_encode_app(bool,$o,hBOOL,
16.30/16.45	                     app_encode_app(int,bool,
16.30/16.45	                                    app_encode_app(fun_int_bool,
16.30/16.45	                                                   app_encode_fun(int,bool),
16.30/16.45	                                                   hAPP_int_bool,
16.30/16.45	                                                   app_encode_app(int,
16.30/16.45	                                                                  fun_int_bool,
16.30/16.45	                                                                  app_encode_app(
16.30/16.45	                                                                  fun_int_fun_int_bool,
16.30/16.45	                                                                  app_encode_fun(
16.30/16.45	                                                                  int,
16.30/16.45	                                                                  fun_int_bool),
16.30/16.45	                                                                  hAPP_i1948725293t_bool,
16.30/16.45	                                                                  ord_less_eq_int),
16.30/16.45	                                                                  Z_2)),
16.30/16.45	                                    W)) =>
16.30/16.45	      (app_encode_app(bool,$o,hBOOL,
16.30/16.45	                      app_encode_app(int,bool,
16.30/16.45	                                     app_encode_app(fun_int_bool,
16.30/16.45	                                                    app_encode_fun(int,bool),
16.30/16.45	                                                    hAPP_int_bool,
16.30/16.45	                                                    app_encode_app(int,
16.30/16.45	                                                                   fun_int_bool,
16.30/16.45	                                                                   app_encode_app(
16.30/16.45	                                                                   fun_int_fun_int_bool,
16.30/16.45	                                                                   app_encode_fun(
16.30/16.45	                                                                   int,
16.30/16.45	                                                                   fun_int_bool),
16.30/16.45	                                                                   hAPP_i1948725293t_bool,
16.30/16.45	                                                                   ord_less_eq_int),
16.30/16.45	                                                                   W)),
16.30/16.45	                                     Z_2)) =>
16.30/16.45	       (Z_2 = W))))).
16.30/16.45	tff('18', plain,
16.30/16.45	    ![X866 : int, X867 : int]:
16.30/16.45	      (~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	           app_encode_app(int, bool, 
16.30/16.45	             app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	               hAPP_int_bool, 
16.30/16.45	               app_encode_app(int, fun_int_bool, 
16.30/16.45	                 app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                   app_encode_fun(int, fun_int_bool), 
16.30/16.45	                   hAPP_i1948725293t_bool, ord_less_eq_int), X866)), X867))
16.30/16.45	       | X867 = X866
16.30/16.45	       | ~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	             app_encode_app(int, bool, 
16.30/16.45	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	                 hAPP_int_bool, 
16.30/16.45	                 app_encode_app(int, fun_int_bool, 
16.30/16.45	                   app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                     app_encode_fun(int, fun_int_bool), 
16.30/16.45	                     hAPP_i1948725293t_bool, ord_less_eq_int), X867)), X866))),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_508])).
16.30/16.45	tff('19', plain,
16.30/16.45	    ![X0 : int]:
16.30/16.45	      (~ $true
16.30/16.45	       | ~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	             app_encode_app(int, bool, 
16.30/16.45	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	                 hAPP_int_bool, 
16.30/16.45	                 app_encode_app(int, fun_int_bool, 
16.30/16.45	                   app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                     app_encode_fun(int, fun_int_bool), 
16.30/16.45	                     hAPP_i1948725293t_bool, ord_less_eq_int), 
16.30/16.45	                   app_encode_app(int, int, succ, X0))), X0))
16.30/16.45	       | app_encode_app(int, int, succ, X0) = X0),
16.30/16.45	    inference('sup-', [status(thm)], ['17', '18'])).
16.30/16.45	tff('20', plain,
16.30/16.45	    ![X0 : int]:
16.30/16.45	      (app_encode_app(int, int, succ, X0) = X0
16.30/16.45	       | ~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	             app_encode_app(int, bool, 
16.30/16.45	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	                 hAPP_int_bool, 
16.30/16.45	                 app_encode_app(int, fun_int_bool, 
16.30/16.45	                   app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                     app_encode_fun(int, fun_int_bool), 
16.30/16.45	                     hAPP_i1948725293t_bool, ord_less_eq_int), 
16.30/16.45	                   app_encode_app(int, int, succ, X0))), X0))),
16.30/16.45	    inference('simplify', [status(thm)], ['19'])).
16.30/16.45	tff(zf_stmt_418, axiom,
16.30/16.45	  (![B_21:int,A_24:int]:
16.30/16.45	     ((B_21 =
16.30/16.45	       app_encode_app(int,int,
16.30/16.45	                      app_encode_app(fun_int_int,app_encode_fun(int,int),
16.30/16.45	                                     hAPP_int_int,
16.30/16.45	                                     app_encode_app(int,fun_int_int,
16.30/16.45	                                                    plus_plus_int,B_21)),
16.30/16.45	                      A_24)) <=>
16.30/16.45	      (A_24 = zero_zero_int)))).
16.30/16.45	tff('21', plain,
16.30/16.45	    ![X643 : int, X644 : int]:
16.30/16.45	      (X643 = zero_zero_int
16.30/16.45	       | X644
16.30/16.45	          != app_encode_app(int, int, 
16.30/16.45	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	                 hAPP_int_int, 
16.30/16.45	                 app_encode_app(int, fun_int_int, plus_plus_int, X644)), 
16.30/16.45	               X643)),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_418])).
16.30/16.45	tff('22', plain,
16.30/16.45	    ![X643 : int, X644 : int]:
16.30/16.45	      (X643 = pls
16.30/16.45	       | X644
16.30/16.45	          != app_encode_app(int, int, 
16.30/16.45	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
16.30/16.45	                 hAPP_int_int, 
16.30/16.45	                 app_encode_app(int, fun_int_int, plus_plus_int, X644)), 
16.30/16.45	               X643)),
16.30/16.45	    inference('demod', [status(thm)], ['21', '6'])).
16.30/16.45	tff('23', plain,
16.30/16.45	    ![X0 : int]:
16.30/16.45	      (X0 != app_encode_app(int, int, succ, X0) | one_one_int = pls),
16.30/16.45	    inference('sup-', [status(thm)], ['13', '22'])).
16.30/16.45	tff(zf_stmt_166, axiom, (zero_zero_int != one_one_int)).
16.30/16.45	tff('24', plain, zero_zero_int != one_one_int,
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_166])).
16.30/16.45	tff('25', plain, pls != one_one_int,
16.30/16.45	    inference('demod', [status(thm)], ['24', '6'])).
16.30/16.45	tff('26', plain, ![X0 : int]: X0 != app_encode_app(int, int, succ, X0),
16.30/16.45	    inference('simplify_reflect-', [status(thm)], ['23', '25'])).
16.30/16.45	tff('27', plain,
16.30/16.45	    ![X0 : int]:
16.30/16.45	      ~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	          app_encode_app(int, bool, 
16.30/16.45	            app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	              hAPP_int_bool, 
16.30/16.45	              app_encode_app(int, fun_int_bool, 
16.30/16.45	                app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                  app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                  ord_less_eq_int), app_encode_app(int, int, succ, X0))), X0)),
16.30/16.45	    inference('simplify_reflect-', [status(thm)], ['20', '26'])).
16.30/16.45	tff('28', plain,
16.30/16.45	    ~ app_encode_app(bool, $o, hBOOL, 
16.30/16.45	        app_encode_app(int, bool, 
16.30/16.45	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	            hAPP_int_bool, 
16.30/16.45	            app_encode_app(int, fun_int_bool, 
16.30/16.45	              app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                ord_less_eq_int), pls)), 
16.30/16.45	          app_encode_app(nat, int, 
16.30/16.45	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
16.30/16.45	              hAPP_nat_int, semiri1621563631at_int), n))),
16.30/16.45	    inference('sup-', [status(thm)], ['11', '27'])).
16.30/16.45	tff(zf_stmt_579, axiom,
16.30/16.45	  (![M_2:nat]:
16.30/16.45	     app_encode_app(bool,$o,hBOOL,
16.30/16.45	                    app_encode_app(int,bool,
16.30/16.45	                                   app_encode_app(fun_int_bool,
16.30/16.45	                                                  app_encode_fun(int,bool),
16.30/16.45	                                                  hAPP_int_bool,
16.30/16.45	                                                  app_encode_app(int,
16.30/16.45	                                                                 fun_int_bool,
16.30/16.45	                                                                 app_encode_app(
16.30/16.45	                                                                 fun_int_fun_int_bool,
16.30/16.45	                                                                 app_encode_fun(
16.30/16.45	                                                                 int,
16.30/16.45	                                                                 fun_int_bool),
16.30/16.45	                                                                 hAPP_i1948725293t_bool,
16.30/16.45	                                                                 ord_less_eq_int),
16.30/16.45	                                                                 zero_zero_int)),
16.30/16.45	                                   app_encode_app(nat,int,
16.30/16.45	                                                  app_encode_app(fun_nat_int,
16.30/16.45	                                                                 app_encode_fun(
16.30/16.45	                                                                 nat,int),
16.30/16.45	                                                                 hAPP_nat_int,
16.30/16.45	                                                                 semiri1621563631at_int),
16.30/16.45	                                                  M_2))))).
16.30/16.45	tff('29', plain,
16.30/16.45	    ![X1035 : nat]:
16.30/16.45	      app_encode_app(bool, $o, hBOOL, 
16.30/16.45	        app_encode_app(int, bool, 
16.30/16.45	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	            hAPP_int_bool, 
16.30/16.45	            app_encode_app(int, fun_int_bool, 
16.30/16.45	              app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                ord_less_eq_int), zero_zero_int)), 
16.30/16.45	          app_encode_app(nat, int, 
16.30/16.45	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
16.30/16.45	              hAPP_nat_int, semiri1621563631at_int), X1035))),
16.30/16.45	    inference('cnf', [status(esa)], [zf_stmt_579])).
16.30/16.45	tff('30', plain,
16.30/16.45	    ![X1035 : nat]:
16.30/16.45	      app_encode_app(bool, $o, hBOOL, 
16.30/16.45	        app_encode_app(int, bool, 
16.30/16.45	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
16.30/16.45	            hAPP_int_bool, 
16.30/16.45	            app_encode_app(int, fun_int_bool, 
16.30/16.45	              app_encode_app(fun_int_fun_int_bool, 
16.30/16.45	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
16.30/16.45	                ord_less_eq_int), pls)), 
16.30/16.45	          app_encode_app(nat, int, 
16.30/16.45	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
16.30/16.45	              hAPP_nat_int, semiri1621563631at_int), X1035))),
16.30/16.45	    inference('demod', [status(thm)], ['29', '6'])).
16.30/16.45	tff('31', plain, ~ $true, inference('demod', [status(thm)], ['28', '30'])).
16.30/16.45	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
16.30/16.45	
16.30/16.45	% SZS output end Refutation
16.30/16.45	EOF
