0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
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   : n094.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 07:32:10 CST 2018
14.98/15.14	% done 6675 iterations in 14.938s
14.98/15.14	% SZS status Theorem for 'stdin'
14.98/15.14	% SZS output start Refutation
14.98/15.14	tff(zf_stmt_768, conjecture,
14.98/15.14	  (app_encode_app(nat,int,
14.98/15.14	                  app_encode_app(fun_nat_int,app_encode_fun(nat,int),
14.98/15.14	                                 hAPP_nat_int,
14.98/15.14	                                 app_encode_app(int,fun_nat_int,
14.98/15.14	                                                power_power_int,
14.98/15.14	                                                app_encode_app(int,int,
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               fun_int_int,
14.98/15.14	                                                               app_encode_fun(
14.98/15.14	                                                               int,int),
14.98/15.14	                                                               hAPP_int_int,
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               int,
14.98/15.14	                                                               fun_int_int,
14.98/15.14	                                                               plus_plus_int,
14.98/15.14	                                                               one_one_int)),
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               nat,int,
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               fun_nat_int,
14.98/15.14	                                                               app_encode_fun(
14.98/15.14	                                                               nat,int),
14.98/15.14	                                                               hAPP_nat_int,
14.98/15.14	                                                               semiri1621563631at_int),
14.98/15.14	                                                               n)))),
14.98/15.14	                  app_encode_app(int,nat,number_number_of_nat,
14.98/15.14	                                 app_encode_app(int,int,bit0,
14.98/15.14	                                                app_encode_app(int,int,bit1,
14.98/15.14	                                                               pls)))) !=
14.98/15.14	   zero_zero_int)).
14.98/15.14	tff(zf_stmt_0, negated_conjecture,
14.98/15.14	  (app_encode_app(nat,int,
14.98/15.14	                  app_encode_app(fun_nat_int,app_encode_fun(nat,int),
14.98/15.14	                                 hAPP_nat_int,
14.98/15.14	                                 app_encode_app(int,fun_nat_int,
14.98/15.14	                                                power_power_int,
14.98/15.14	                                                app_encode_app(int,int,
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               fun_int_int,
14.98/15.14	                                                               app_encode_fun(
14.98/15.14	                                                               int,int),
14.98/15.14	                                                               hAPP_int_int,
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               int,
14.98/15.14	                                                               fun_int_int,
14.98/15.14	                                                               plus_plus_int,
14.98/15.14	                                                               one_one_int)),
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               nat,int,
14.98/15.14	                                                               app_encode_app(
14.98/15.14	                                                               fun_nat_int,
14.98/15.14	                                                               app_encode_fun(
14.98/15.14	                                                               nat,int),
14.98/15.14	                                                               hAPP_nat_int,
14.98/15.14	                                                               semiri1621563631at_int),
14.98/15.14	                                                               n)))),
14.98/15.14	                  app_encode_app(int,nat,number_number_of_nat,
14.98/15.14	                                 app_encode_app(int,int,bit0,
14.98/15.14	                                                app_encode_app(int,int,bit1,
14.98/15.14	                                                               pls)))) =
14.98/15.14	   zero_zero_int)).
14.98/15.14	tff('0', plain,
14.98/15.14	    app_encode_app(nat, int, 
14.98/15.14	      app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
14.98/15.14	        app_encode_app(int, fun_nat_int, power_power_int, 
14.98/15.14	          app_encode_app(int, int, 
14.98/15.14	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.14	              hAPP_int_int, 
14.98/15.14	              app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
14.98/15.14	            app_encode_app(nat, int, 
14.98/15.14	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
14.98/15.14	                hAPP_nat_int, semiri1621563631at_int), n)))), 
14.98/15.14	      app_encode_app(int, nat, number_number_of_nat, 
14.98/15.14	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
14.98/15.14	     = zero_zero_int,
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
14.98/15.14	tff(zf_stmt_649, axiom,
14.98/15.14	  (![K_3:int]:
14.98/15.14	     (app_encode_app(int,int,number_number_of_int,
14.98/15.14	                     app_encode_app(int,int,succ,K_3)) =
14.98/15.14	      app_encode_app(int,int,
14.98/15.14	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
14.98/15.14	                                    hAPP_int_int,
14.98/15.14	                                    app_encode_app(int,fun_int_int,
14.98/15.14	                                                   plus_plus_int,one_one_int)),
14.98/15.14	                     app_encode_app(int,int,number_number_of_int,K_3))))).
14.98/15.14	tff('1', plain,
14.98/15.14	    ![X1178 : int]:
14.98/15.14	      app_encode_app(int, int, number_number_of_int, 
14.98/15.14	        app_encode_app(int, int, succ, X1178))
14.98/15.14	       = app_encode_app(int, int, 
14.98/15.14	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.14	             hAPP_int_int, 
14.98/15.14	             app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
14.98/15.14	           app_encode_app(int, int, number_number_of_int, X1178)),
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_649])).
14.98/15.14	tff(zf_stmt_242, axiom,
14.98/15.14	  (![K:int]: (app_encode_app(int,int,number_number_of_int,K) = K))).
14.98/15.14	tff('2', plain,
14.98/15.14	    ![X255 : int]:
14.98/15.14	      app_encode_app(int, int, number_number_of_int, X255) = X255,
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_242])).
14.98/15.14	tff('3', plain,
14.98/15.14	    ![X1178 : int]:
14.98/15.14	      app_encode_app(int, int, succ, X1178)
14.98/15.14	       = app_encode_app(int, int, 
14.98/15.14	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.14	             hAPP_int_int, 
14.98/15.14	             app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
14.98/15.14	           X1178),
14.98/15.14	    inference('demod', [status(thm)], ['1', '2', '2'])).
14.98/15.14	tff(zf_stmt_91, axiom,
14.98/15.14	  (one_one_int =
14.98/15.14	   app_encode_app(int,int,number_number_of_int,
14.98/15.14	                  app_encode_app(int,int,bit1,pls)))).
14.98/15.14	tff('4', plain,
14.98/15.14	    one_one_int
14.98/15.14	     = app_encode_app(int, int, number_number_of_int, 
14.98/15.14	         app_encode_app(int, int, bit1, pls)),
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_91])).
14.98/15.14	tff('5', plain, one_one_int = app_encode_app(int, int, bit1, pls),
14.98/15.14	    inference('demod', [status(thm)], ['4', '2'])).
14.98/15.14	tff(zf_stmt_164, axiom, (pls = zero_zero_int)).
14.98/15.14	tff('6', plain, pls = zero_zero_int,
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_164])).
14.98/15.14	tff('7', plain,
14.98/15.14	    app_encode_app(nat, int, 
14.98/15.14	      app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
14.98/15.14	        app_encode_app(int, fun_nat_int, power_power_int, 
14.98/15.14	          app_encode_app(int, int, succ, 
14.98/15.14	            app_encode_app(nat, int, 
14.98/15.14	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
14.98/15.14	                hAPP_nat_int, semiri1621563631at_int), n)))), 
14.98/15.14	      app_encode_app(int, nat, number_number_of_nat, 
14.98/15.14	        app_encode_app(int, int, bit0, one_one_int)))
14.98/15.14	     = pls,
14.98/15.14	    inference('demod', [status(thm)], ['0', '3', '5', '6'])).
14.98/15.14	tff(zf_stmt_297, axiom,
14.98/15.14	  (![N_23:nat,A_62:int]:
14.98/15.14	     ((A_62 != zero_zero_int) =>
14.98/15.14	      (app_encode_app(nat,int,
14.98/15.14	                      app_encode_app(fun_nat_int,app_encode_fun(nat,int),
14.98/15.14	                                     hAPP_nat_int,
14.98/15.14	                                     app_encode_app(int,fun_nat_int,
14.98/15.14	                                                    power_power_int,A_62)),
14.98/15.14	                      N_23) !=
14.98/15.14	       zero_zero_int)))).
14.98/15.14	tff('8', plain,
14.98/15.14	    ![X379 : int, X380 : nat]:
14.98/15.14	      (app_encode_app(nat, int, 
14.98/15.14	         app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
14.98/15.14	           app_encode_app(int, fun_nat_int, power_power_int, X379)), X380)
14.98/15.14	        != zero_zero_int
14.98/15.14	       | X379 = zero_zero_int),
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_297])).
14.98/15.14	tff('9', plain,
14.98/15.14	    ![X379 : int, X380 : nat]:
14.98/15.14	      (app_encode_app(nat, int, 
14.98/15.14	         app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
14.98/15.14	           app_encode_app(int, fun_nat_int, power_power_int, X379)), X380)
14.98/15.14	        != pls
14.98/15.14	       | X379 = pls),
14.98/15.14	    inference('demod', [status(thm)], ['8', '6', '6'])).
14.98/15.14	tff('10', plain,
14.98/15.14	    (pls != pls
14.98/15.14	     | app_encode_app(int, int, succ, 
14.98/15.14	         app_encode_app(nat, int, 
14.98/15.14	           app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
14.98/15.14	             hAPP_nat_int, semiri1621563631at_int), n))
14.98/15.14	        = pls),
14.98/15.14	    inference('sup-', [status(thm)], ['7', '9'])).
14.98/15.14	tff('11', plain,
14.98/15.14	    app_encode_app(int, int, succ, 
14.98/15.14	      app_encode_app(nat, int, 
14.98/15.14	        app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
14.98/15.14	          semiri1621563631at_int), n))
14.98/15.14	     = pls,
14.98/15.14	    inference('simplify', [status(thm)], ['10'])).
14.98/15.14	tff(zf_stmt_336, axiom,
14.98/15.14	  (![A_59:int]:
14.98/15.14	     app_encode_app(bool,$o,hBOOL,
14.98/15.14	                    app_encode_app(int,bool,
14.98/15.14	                                   app_encode_app(fun_int_bool,
14.98/15.14	                                                  app_encode_fun(int,bool),
14.98/15.14	                                                  hAPP_int_bool,
14.98/15.14	                                                  app_encode_app(int,
14.98/15.14	                                                                 fun_int_bool,
14.98/15.14	                                                                 app_encode_app(
14.98/15.14	                                                                 fun_int_fun_int_bool,
14.98/15.14	                                                                 app_encode_fun(
14.98/15.14	                                                                 int,
14.98/15.14	                                                                 fun_int_bool),
14.98/15.14	                                                                 hAPP_i1948725293t_bool,
14.98/15.14	                                                                 ord_less_int),
14.98/15.14	                                                                 A_59)),
14.98/15.14	                                   app_encode_app(int,int,
14.98/15.14	                                                  app_encode_app(fun_int_int,
14.98/15.14	                                                                 app_encode_fun(
14.98/15.14	                                                                 int,int),
14.98/15.14	                                                                 hAPP_int_int,
14.98/15.14	                                                                 app_encode_app(
14.98/15.14	                                                                 int,
14.98/15.14	                                                                 fun_int_int,
14.98/15.14	                                                                 plus_plus_int,
14.98/15.14	                                                                 A_59)),
14.98/15.14	                                                  one_one_int))))).
14.98/15.14	tff('12', plain,
14.98/15.14	    ![X438 : int]:
14.98/15.14	      app_encode_app(bool, $o, hBOOL, 
14.98/15.14	        app_encode_app(int, bool, 
14.98/15.14	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.14	            hAPP_int_bool, 
14.98/15.14	            app_encode_app(int, fun_int_bool, 
14.98/15.14	              app_encode_app(fun_int_fun_int_bool, 
14.98/15.14	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.14	                ord_less_int), X438)), 
14.98/15.14	          app_encode_app(int, int, 
14.98/15.14	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.14	              hAPP_int_int, 
14.98/15.14	              app_encode_app(int, fun_int_int, plus_plus_int, X438)), 
14.98/15.14	            one_one_int))),
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_336])).
14.98/15.14	tff(zf_stmt_639, axiom,
14.98/15.14	  (![K:int]:
14.98/15.14	     (app_encode_app(int,int,succ,K) =
14.98/15.14	      app_encode_app(int,int,
14.98/15.14	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
14.98/15.14	                                    hAPP_int_int,
14.98/15.14	                                    app_encode_app(int,fun_int_int,
14.98/15.14	                                                   plus_plus_int,K)),
14.98/15.14	                     one_one_int)))).
14.98/15.14	tff('13', plain,
14.98/15.14	    ![X1160 : int]:
14.98/15.14	      app_encode_app(int, int, succ, X1160)
14.98/15.14	       = app_encode_app(int, int, 
14.98/15.14	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.14	             hAPP_int_int, 
14.98/15.14	             app_encode_app(int, fun_int_int, plus_plus_int, X1160)), 
14.98/15.14	           one_one_int),
14.98/15.14	    inference('cnf', [status(esa)], [zf_stmt_639])).
14.98/15.14	tff('14', plain,
14.98/15.14	    ![X438 : int]:
14.98/15.14	      app_encode_app(bool, $o, hBOOL, 
14.98/15.14	        app_encode_app(int, bool, 
14.98/15.14	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.14	            hAPP_int_bool, 
14.98/15.14	            app_encode_app(int, fun_int_bool, 
14.98/15.14	              app_encode_app(fun_int_fun_int_bool, 
14.98/15.14	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.14	                ord_less_int), X438)), app_encode_app(int, int, succ, X438))),
14.98/15.14	    inference('demod', [status(thm)], ['12', '13'])).
14.98/15.14	tff(zf_stmt_513, axiom,
14.98/15.14	  (![Z_3:int,Wa:int]:
14.98/15.14	     (app_encode_app(bool,$o,hBOOL,
14.98/15.14	                     app_encode_app(int,bool,
14.98/15.14	                                    app_encode_app(fun_int_bool,
14.98/15.14	                                                   app_encode_fun(int,bool),
14.98/15.14	                                                   hAPP_int_bool,
14.98/15.14	                                                   app_encode_app(int,
14.98/15.14	                                                                  fun_int_bool,
14.98/15.14	                                                                  app_encode_app(
14.98/15.14	                                                                  fun_int_fun_int_bool,
14.98/15.14	                                                                  app_encode_fun(
14.98/15.14	                                                                  int,
14.98/15.14	                                                                  fun_int_bool),
14.98/15.14	                                                                  hAPP_i1948725293t_bool,
14.98/15.14	                                                                  ord_less_int),
14.98/15.14	                                                                  Z_3)),
14.98/15.14	                                    Wa)) <=>
14.98/15.14	      (app_encode_app(bool,$o,hBOOL,
14.98/15.14	                      app_encode_app(int,bool,
14.98/15.14	                                     app_encode_app(fun_int_bool,
14.98/15.14	                                                    app_encode_fun(int,bool),
14.98/15.14	                                                    hAPP_int_bool,
14.98/15.14	                                                    app_encode_app(int,
14.98/15.14	                                                                   fun_int_bool,
14.98/15.14	                                                                   app_encode_app(
14.98/15.14	                                                                   fun_int_fun_int_bool,
14.98/15.14	                                                                   app_encode_fun(
14.98/15.14	                                                                   int,
14.98/15.14	                                                                   fun_int_bool),
14.98/15.14	                                                                   hAPP_i1948725293t_bool,
14.98/15.14	                                                                   ord_less_eq_int),
14.98/15.14	                                                                   Z_3)),
14.98/15.14	                                     Wa)) & 
14.98/15.14	       (Z_3 != Wa))))).
14.98/15.14	tff('15', plain,
14.98/15.14	    ![X879 : int, X880 : int]:
14.98/15.14	      (app_encode_app(bool, $o, hBOOL, 
14.98/15.14	         app_encode_app(int, bool, 
14.98/15.14	           app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.14	             hAPP_int_bool, 
14.98/15.14	             app_encode_app(int, fun_int_bool, 
14.98/15.14	               app_encode_app(fun_int_fun_int_bool, 
14.98/15.14	                 app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.14	                 ord_less_eq_int), X879)), X880))
14.98/15.14	       | ~ app_encode_app(bool, $o, hBOOL, 
14.98/15.14	             app_encode_app(int, bool, 
14.98/15.14	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.14	                 hAPP_int_bool, 
14.98/15.14	                 app_encode_app(int, fun_int_bool, 
14.98/15.15	                   app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                     app_encode_fun(int, fun_int_bool), 
14.98/15.15	                     hAPP_i1948725293t_bool, ord_less_int), X879)), X880))),
14.98/15.15	    inference('cnf', [status(esa)], [zf_stmt_513])).
14.98/15.15	tff('16', plain,
14.98/15.15	    ![X0 : int]:
14.98/15.15	      (~ $true
14.98/15.15	       | app_encode_app(bool, $o, hBOOL, 
14.98/15.15	           app_encode_app(int, bool, 
14.98/15.15	             app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	               hAPP_int_bool, 
14.98/15.15	               app_encode_app(int, fun_int_bool, 
14.98/15.15	                 app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                   app_encode_fun(int, fun_int_bool), 
14.98/15.15	                   hAPP_i1948725293t_bool, ord_less_eq_int), X0)), 
14.98/15.15	             app_encode_app(int, int, succ, X0)))),
14.98/15.15	    inference('sup-', [status(thm)], ['14', '15'])).
14.98/15.15	tff('17', plain,
14.98/15.15	    ![X0 : int]:
14.98/15.15	      app_encode_app(bool, $o, hBOOL, 
14.98/15.15	        app_encode_app(int, bool, 
14.98/15.15	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	            hAPP_int_bool, 
14.98/15.15	            app_encode_app(int, fun_int_bool, 
14.98/15.15	              app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.15	                ord_less_eq_int), X0)), app_encode_app(int, int, succ, X0))),
14.98/15.15	    inference('simplify', [status(thm)], ['16'])).
14.98/15.15	tff(zf_stmt_507, axiom,
14.98/15.15	  (![Z_2:int,W:int]:
14.98/15.15	     (app_encode_app(bool,$o,hBOOL,
14.98/15.15	                     app_encode_app(int,bool,
14.98/15.15	                                    app_encode_app(fun_int_bool,
14.98/15.15	                                                   app_encode_fun(int,bool),
14.98/15.15	                                                   hAPP_int_bool,
14.98/15.15	                                                   app_encode_app(int,
14.98/15.15	                                                                  fun_int_bool,
14.98/15.15	                                                                  app_encode_app(
14.98/15.15	                                                                  fun_int_fun_int_bool,
14.98/15.15	                                                                  app_encode_fun(
14.98/15.15	                                                                  int,
14.98/15.15	                                                                  fun_int_bool),
14.98/15.15	                                                                  hAPP_i1948725293t_bool,
14.98/15.15	                                                                  ord_less_eq_int),
14.98/15.15	                                                                  Z_2)),
14.98/15.15	                                    W)) =>
14.98/15.15	      (app_encode_app(bool,$o,hBOOL,
14.98/15.15	                      app_encode_app(int,bool,
14.98/15.15	                                     app_encode_app(fun_int_bool,
14.98/15.15	                                                    app_encode_fun(int,bool),
14.98/15.15	                                                    hAPP_int_bool,
14.98/15.15	                                                    app_encode_app(int,
14.98/15.15	                                                                   fun_int_bool,
14.98/15.15	                                                                   app_encode_app(
14.98/15.15	                                                                   fun_int_fun_int_bool,
14.98/15.15	                                                                   app_encode_fun(
14.98/15.15	                                                                   int,
14.98/15.15	                                                                   fun_int_bool),
14.98/15.15	                                                                   hAPP_i1948725293t_bool,
14.98/15.15	                                                                   ord_less_eq_int),
14.98/15.15	                                                                   W)),
14.98/15.15	                                     Z_2)) =>
14.98/15.15	       (Z_2 = W))))).
14.98/15.15	tff('18', plain,
14.98/15.15	    ![X862 : int, X863 : int]:
14.98/15.15	      (~ app_encode_app(bool, $o, hBOOL, 
14.98/15.15	           app_encode_app(int, bool, 
14.98/15.15	             app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	               hAPP_int_bool, 
14.98/15.15	               app_encode_app(int, fun_int_bool, 
14.98/15.15	                 app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                   app_encode_fun(int, fun_int_bool), 
14.98/15.15	                   hAPP_i1948725293t_bool, ord_less_eq_int), X862)), X863))
14.98/15.15	       | X863 = X862
14.98/15.15	       | ~ app_encode_app(bool, $o, hBOOL, 
14.98/15.15	             app_encode_app(int, bool, 
14.98/15.15	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	                 hAPP_int_bool, 
14.98/15.15	                 app_encode_app(int, fun_int_bool, 
14.98/15.15	                   app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                     app_encode_fun(int, fun_int_bool), 
14.98/15.15	                     hAPP_i1948725293t_bool, ord_less_eq_int), X863)), X862))),
14.98/15.15	    inference('cnf', [status(esa)], [zf_stmt_507])).
14.98/15.15	tff('19', plain,
14.98/15.15	    ![X0 : int]:
14.98/15.15	      (~ $true
14.98/15.15	       | ~ app_encode_app(bool, $o, hBOOL, 
14.98/15.15	             app_encode_app(int, bool, 
14.98/15.15	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	                 hAPP_int_bool, 
14.98/15.15	                 app_encode_app(int, fun_int_bool, 
14.98/15.15	                   app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                     app_encode_fun(int, fun_int_bool), 
14.98/15.15	                     hAPP_i1948725293t_bool, ord_less_eq_int), 
14.98/15.15	                   app_encode_app(int, int, succ, X0))), X0))
14.98/15.15	       | app_encode_app(int, int, succ, X0) = X0),
14.98/15.15	    inference('sup-', [status(thm)], ['17', '18'])).
14.98/15.15	tff('20', plain,
14.98/15.15	    ![X0 : int]:
14.98/15.15	      (app_encode_app(int, int, succ, X0) = X0
14.98/15.15	       | ~ app_encode_app(bool, $o, hBOOL, 
14.98/15.15	             app_encode_app(int, bool, 
14.98/15.15	               app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	                 hAPP_int_bool, 
14.98/15.15	                 app_encode_app(int, fun_int_bool, 
14.98/15.15	                   app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                     app_encode_fun(int, fun_int_bool), 
14.98/15.15	                     hAPP_i1948725293t_bool, ord_less_eq_int), 
14.98/15.15	                   app_encode_app(int, int, succ, X0))), X0))),
14.98/15.15	    inference('simplify', [status(thm)], ['19'])).
14.98/15.15	tff(zf_stmt_417, axiom,
14.98/15.15	  (![B_21:int,A_24:int]:
14.98/15.15	     ((B_21 =
14.98/15.15	       app_encode_app(int,int,
14.98/15.15	                      app_encode_app(fun_int_int,app_encode_fun(int,int),
14.98/15.15	                                     hAPP_int_int,
14.98/15.15	                                     app_encode_app(int,fun_int_int,
14.98/15.15	                                                    plus_plus_int,B_21)),
14.98/15.15	                      A_24)) <=>
14.98/15.15	      (A_24 = zero_zero_int)))).
14.98/15.15	tff('21', plain,
14.98/15.15	    ![X639 : int, X640 : int]:
14.98/15.15	      (X639 = zero_zero_int
14.98/15.15	       | X640
14.98/15.15	          != app_encode_app(int, int, 
14.98/15.15	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.15	                 hAPP_int_int, 
14.98/15.15	                 app_encode_app(int, fun_int_int, plus_plus_int, X640)), 
14.98/15.15	               X639)),
14.98/15.15	    inference('cnf', [status(esa)], [zf_stmt_417])).
14.98/15.15	tff('22', plain,
14.98/15.15	    ![X639 : int, X640 : int]:
14.98/15.15	      (X639 = pls
14.98/15.15	       | X640
14.98/15.15	          != app_encode_app(int, int, 
14.98/15.15	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
14.98/15.15	                 hAPP_int_int, 
14.98/15.15	                 app_encode_app(int, fun_int_int, plus_plus_int, X640)), 
14.98/15.15	               X639)),
14.98/15.15	    inference('demod', [status(thm)], ['21', '6'])).
14.98/15.15	tff('23', plain,
14.98/15.15	    ![X0 : int]:
14.98/15.15	      (X0 != app_encode_app(int, int, succ, X0) | one_one_int = pls),
14.98/15.15	    inference('sup-', [status(thm)], ['13', '22'])).
14.98/15.15	tff(zf_stmt_165, axiom, (zero_zero_int != one_one_int)).
14.98/15.15	tff('24', plain, zero_zero_int != one_one_int,
14.98/15.15	    inference('cnf', [status(esa)], [zf_stmt_165])).
14.98/15.15	tff('25', plain, pls != one_one_int,
14.98/15.15	    inference('demod', [status(thm)], ['24', '6'])).
14.98/15.15	tff('26', plain, ![X0 : int]: X0 != app_encode_app(int, int, succ, X0),
14.98/15.15	    inference('simplify_reflect-', [status(thm)], ['23', '25'])).
14.98/15.15	tff('27', plain,
14.98/15.15	    ![X0 : int]:
14.98/15.15	      ~ app_encode_app(bool, $o, hBOOL, 
14.98/15.15	          app_encode_app(int, bool, 
14.98/15.15	            app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	              hAPP_int_bool, 
14.98/15.15	              app_encode_app(int, fun_int_bool, 
14.98/15.15	                app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                  app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.15	                  ord_less_eq_int), app_encode_app(int, int, succ, X0))), X0)),
14.98/15.15	    inference('simplify_reflect-', [status(thm)], ['20', '26'])).
14.98/15.15	tff('28', plain,
14.98/15.15	    ~ app_encode_app(bool, $o, hBOOL, 
14.98/15.15	        app_encode_app(int, bool, 
14.98/15.15	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	            hAPP_int_bool, 
14.98/15.15	            app_encode_app(int, fun_int_bool, 
14.98/15.15	              app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.15	                ord_less_eq_int), pls)), 
14.98/15.15	          app_encode_app(nat, int, 
14.98/15.15	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
14.98/15.15	              hAPP_nat_int, semiri1621563631at_int), n))),
14.98/15.15	    inference('sup-', [status(thm)], ['11', '27'])).
14.98/15.15	tff(zf_stmt_578, axiom,
14.98/15.15	  (![M_2:nat]:
14.98/15.15	     app_encode_app(bool,$o,hBOOL,
14.98/15.15	                    app_encode_app(int,bool,
14.98/15.15	                                   app_encode_app(fun_int_bool,
14.98/15.15	                                                  app_encode_fun(int,bool),
14.98/15.15	                                                  hAPP_int_bool,
14.98/15.15	                                                  app_encode_app(int,
14.98/15.15	                                                                 fun_int_bool,
14.98/15.15	                                                                 app_encode_app(
14.98/15.15	                                                                 fun_int_fun_int_bool,
14.98/15.15	                                                                 app_encode_fun(
14.98/15.15	                                                                 int,
14.98/15.15	                                                                 fun_int_bool),
14.98/15.15	                                                                 hAPP_i1948725293t_bool,
14.98/15.15	                                                                 ord_less_eq_int),
14.98/15.15	                                                                 zero_zero_int)),
14.98/15.15	                                   app_encode_app(nat,int,
14.98/15.15	                                                  app_encode_app(fun_nat_int,
14.98/15.15	                                                                 app_encode_fun(
14.98/15.15	                                                                 nat,int),
14.98/15.15	                                                                 hAPP_nat_int,
14.98/15.15	                                                                 semiri1621563631at_int),
14.98/15.15	                                                  M_2))))).
14.98/15.15	tff('29', plain,
14.98/15.15	    ![X1031 : nat]:
14.98/15.15	      app_encode_app(bool, $o, hBOOL, 
14.98/15.15	        app_encode_app(int, bool, 
14.98/15.15	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	            hAPP_int_bool, 
14.98/15.15	            app_encode_app(int, fun_int_bool, 
14.98/15.15	              app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.15	                ord_less_eq_int), zero_zero_int)), 
14.98/15.15	          app_encode_app(nat, int, 
14.98/15.15	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
14.98/15.15	              hAPP_nat_int, semiri1621563631at_int), X1031))),
14.98/15.15	    inference('cnf', [status(esa)], [zf_stmt_578])).
14.98/15.15	tff('30', plain,
14.98/15.15	    ![X1031 : nat]:
14.98/15.15	      app_encode_app(bool, $o, hBOOL, 
14.98/15.15	        app_encode_app(int, bool, 
14.98/15.15	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
14.98/15.15	            hAPP_int_bool, 
14.98/15.15	            app_encode_app(int, fun_int_bool, 
14.98/15.15	              app_encode_app(fun_int_fun_int_bool, 
14.98/15.15	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
14.98/15.15	                ord_less_eq_int), pls)), 
14.98/15.15	          app_encode_app(nat, int, 
14.98/15.15	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
14.98/15.15	              hAPP_nat_int, semiri1621563631at_int), X1031))),
14.98/15.15	    inference('demod', [status(thm)], ['29', '6'])).
14.98/15.15	tff('31', plain, ~ $true, inference('demod', [status(thm)], ['28', '30'])).
14.98/15.15	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
14.98/15.15	
14.98/15.15	% SZS output end Refutation
14.98/15.15	EOF
