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    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n048.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:32:08 CST 2018
2.00/2.16	% done 1069 iterations in 1.962s
2.00/2.16	% SZS status Theorem for 'stdin'
2.00/2.16	% SZS output start Refutation
2.00/2.16	tff(zf_stmt_768, conjecture,
2.00/2.16	  (app_encode_app(nat,int,
2.00/2.16	                  app_encode_app(fun_nat_int,app_encode_fun(nat,int),
2.00/2.16	                                 hAPP_nat_int,
2.00/2.16	                                 app_encode_app(int,fun_nat_int,
2.00/2.16	                                                power_power_int,
2.00/2.16	                                                app_encode_app(int,int,
2.00/2.16	                                                               app_encode_app(
2.00/2.16	                                                               fun_int_int,
2.00/2.16	                                                               app_encode_fun(
2.00/2.16	                                                               int,int),
2.00/2.16	                                                               hAPP_int_int,
2.00/2.16	                                                               app_encode_app(
2.00/2.16	                                                               int,
2.00/2.16	                                                               fun_int_int,
2.00/2.16	                                                               plus_plus_int,
2.00/2.16	                                                               one_one_int)),
2.00/2.16	                                                               app_encode_app(
2.00/2.16	                                                               nat,int,
2.00/2.16	                                                               app_encode_app(
2.00/2.16	                                                               fun_nat_int,
2.00/2.16	                                                               app_encode_fun(
2.00/2.16	                                                               nat,int),
2.00/2.16	                                                               hAPP_nat_int,
2.00/2.16	                                                               semiri1621563631at_int),
2.00/2.16	                                                               n)))),
2.00/2.16	                  app_encode_app(int,nat,number_number_of_nat,
2.00/2.16	                                 app_encode_app(int,int,bit0,
2.00/2.16	                                                app_encode_app(int,int,bit1,
2.00/2.16	                                                               pls)))) !=
2.00/2.17	   zero_zero_int)).
2.00/2.17	tff(zf_stmt_0, negated_conjecture,
2.00/2.17	  (app_encode_app(nat,int,
2.00/2.17	                  app_encode_app(fun_nat_int,app_encode_fun(nat,int),
2.00/2.17	                                 hAPP_nat_int,
2.00/2.17	                                 app_encode_app(int,fun_nat_int,
2.00/2.17	                                                power_power_int,
2.00/2.17	                                                app_encode_app(int,int,
2.00/2.17	                                                               app_encode_app(
2.00/2.17	                                                               fun_int_int,
2.00/2.17	                                                               app_encode_fun(
2.00/2.17	                                                               int,int),
2.00/2.17	                                                               hAPP_int_int,
2.00/2.17	                                                               app_encode_app(
2.00/2.17	                                                               int,
2.00/2.17	                                                               fun_int_int,
2.00/2.17	                                                               plus_plus_int,
2.00/2.17	                                                               one_one_int)),
2.00/2.17	                                                               app_encode_app(
2.00/2.17	                                                               nat,int,
2.00/2.17	                                                               app_encode_app(
2.00/2.17	                                                               fun_nat_int,
2.00/2.17	                                                               app_encode_fun(
2.00/2.17	                                                               nat,int),
2.00/2.17	                                                               hAPP_nat_int,
2.00/2.17	                                                               semiri1621563631at_int),
2.00/2.17	                                                               n)))),
2.00/2.17	                  app_encode_app(int,nat,number_number_of_nat,
2.00/2.17	                                 app_encode_app(int,int,bit0,
2.00/2.17	                                                app_encode_app(int,int,bit1,
2.00/2.17	                                                               pls)))) =
2.00/2.17	   zero_zero_int)).
2.00/2.17	tff('0', plain,
2.00/2.17	    app_encode_app(nat, int, 
2.00/2.17	      app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
2.00/2.17	        app_encode_app(int, fun_nat_int, power_power_int, 
2.00/2.17	          app_encode_app(int, int, 
2.00/2.17	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	              hAPP_int_int, 
2.00/2.17	              app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
2.00/2.17	            app_encode_app(nat, int, 
2.00/2.17	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
2.00/2.17	                hAPP_nat_int, semiri1621563631at_int), n)))), 
2.00/2.17	      app_encode_app(int, nat, number_number_of_nat, 
2.00/2.17	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
2.00/2.17	     = zero_zero_int,
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.00/2.17	tff(zf_stmt_91, axiom,
2.00/2.17	  (one_one_int =
2.00/2.17	   app_encode_app(int,int,number_number_of_int,
2.00/2.17	                  app_encode_app(int,int,bit1,pls)))).
2.00/2.17	tff('1', plain,
2.00/2.17	    one_one_int
2.00/2.17	     = app_encode_app(int, int, number_number_of_int, 
2.00/2.17	         app_encode_app(int, int, bit1, pls)),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_91])).
2.00/2.17	tff(zf_stmt_242, axiom,
2.00/2.17	  (![K:int]: (app_encode_app(int,int,number_number_of_int,K) = K))).
2.00/2.17	tff('2', plain,
2.00/2.17	    ![X255 : int]:
2.00/2.17	      app_encode_app(int, int, number_number_of_int, X255) = X255,
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_242])).
2.00/2.17	tff('3', plain, one_one_int = app_encode_app(int, int, bit1, pls),
2.00/2.17	    inference('demod', [status(thm)], ['1', '2'])).
2.00/2.17	tff(zf_stmt_192, axiom,
2.00/2.17	  (![K:int,L:int]:
2.00/2.17	     (app_encode_app(int,int,
2.00/2.17	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
2.00/2.17	                                    hAPP_int_int,
2.00/2.17	                                    app_encode_app(int,fun_int_int,
2.00/2.17	                                                   plus_plus_int,
2.00/2.17	                                                   app_encode_app(int,int,
2.00/2.17	                                                                  bit1,K))),
2.00/2.17	                     app_encode_app(int,int,bit0,L)) =
2.00/2.17	      app_encode_app(int,int,bit1,
2.00/2.17	                     app_encode_app(int,int,
2.00/2.17	                                    app_encode_app(fun_int_int,
2.00/2.17	                                                   app_encode_fun(int,int),
2.00/2.17	                                                   hAPP_int_int,
2.00/2.17	                                                   app_encode_app(int,
2.00/2.17	                                                                  fun_int_int,
2.00/2.17	                                                                  plus_plus_int,
2.00/2.17	                                                                  K)),
2.00/2.17	                                    L))))).
2.00/2.17	tff('4', plain,
2.00/2.17	    ![X185 : int, X186 : int]:
2.00/2.17	      app_encode_app(int, int, 
2.00/2.17	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	          app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	            app_encode_app(int, int, bit1, X185))), 
2.00/2.17	        app_encode_app(int, int, bit0, X186))
2.00/2.17	       = app_encode_app(int, int, bit1, 
2.00/2.17	           app_encode_app(int, int, 
2.00/2.17	             app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	               hAPP_int_int, 
2.00/2.17	               app_encode_app(int, fun_int_int, plus_plus_int, X185)), X186)),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_192])).
2.00/2.17	tff(zf_stmt_635, axiom,
2.00/2.17	  (![K:int]:
2.00/2.17	     (app_encode_app(int,int,succ,app_encode_app(int,int,bit1,K)) =
2.00/2.17	      app_encode_app(int,int,bit0,app_encode_app(int,int,succ,K))))).
2.00/2.17	tff('5', plain,
2.00/2.17	    ![X1151 : int]:
2.00/2.17	      app_encode_app(int, int, succ, app_encode_app(int, int, bit1, X1151))
2.00/2.17	       = app_encode_app(int, int, bit0, 
2.00/2.17	           app_encode_app(int, int, succ, X1151)),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_635])).
2.00/2.17	tff(zf_stmt_649, axiom,
2.00/2.17	  (![K_3:int]:
2.00/2.17	     (app_encode_app(int,int,number_number_of_int,
2.00/2.17	                     app_encode_app(int,int,succ,K_3)) =
2.00/2.17	      app_encode_app(int,int,
2.00/2.17	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
2.00/2.17	                                    hAPP_int_int,
2.00/2.17	                                    app_encode_app(int,fun_int_int,
2.00/2.17	                                                   plus_plus_int,one_one_int)),
2.00/2.17	                     app_encode_app(int,int,number_number_of_int,K_3))))).
2.00/2.17	tff('6', plain,
2.00/2.17	    ![X1178 : int]:
2.00/2.17	      app_encode_app(int, int, number_number_of_int, 
2.00/2.17	        app_encode_app(int, int, succ, X1178))
2.00/2.17	       = app_encode_app(int, int, 
2.00/2.17	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	             hAPP_int_int, 
2.00/2.17	             app_encode_app(int, fun_int_int, plus_plus_int, one_one_int)), 
2.00/2.17	           app_encode_app(int, int, number_number_of_int, X1178)),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_649])).
2.00/2.17	tff('7', plain,
2.00/2.17	    ![X1178 : int]:
2.00/2.17	      app_encode_app(int, int, succ, X1178)
2.00/2.17	       = app_encode_app(int, int, 
2.00/2.17	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	             hAPP_int_int, 
2.00/2.17	             app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	               app_encode_app(int, int, bit1, pls))), X1178),
2.00/2.17	    inference('demod', [status(thm)], ['6', '2', '3', '2'])).
2.00/2.17	tff('8', plain,
2.00/2.17	    ![X1151 : int]:
2.00/2.17	      app_encode_app(int, int, 
2.00/2.17	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	          app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	            app_encode_app(int, int, bit1, pls))), 
2.00/2.17	        app_encode_app(int, int, bit1, X1151))
2.00/2.17	       = app_encode_app(int, int, bit0, 
2.00/2.17	           app_encode_app(int, int, 
2.00/2.17	             app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	               hAPP_int_int, 
2.00/2.17	               app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	                 app_encode_app(int, int, bit1, pls))), X1151)),
2.00/2.17	    inference('demod', [status(thm)], ['5', '7', '7'])).
2.00/2.17	tff('9', plain,
2.00/2.17	    ![X0 : int]:
2.00/2.17	      app_encode_app(int, int, 
2.00/2.17	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	          app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	            app_encode_app(int, int, bit1, pls))), 
2.00/2.17	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, X0)))
2.00/2.17	       = app_encode_app(int, int, bit0, 
2.00/2.17	           app_encode_app(int, int, bit1, 
2.00/2.17	             app_encode_app(int, int, 
2.00/2.17	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	                 hAPP_int_int, 
2.00/2.17	                 app_encode_app(int, fun_int_int, plus_plus_int, pls)), X0))),
2.00/2.17	    inference('sup+', [status(thm)], ['4', '8'])).
2.00/2.17	tff(zf_stmt_167, axiom,
2.00/2.17	  (![K:int]:
2.00/2.17	     (app_encode_app(int,int,
2.00/2.17	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
2.00/2.17	                                    hAPP_int_int,
2.00/2.17	                                    app_encode_app(int,fun_int_int,
2.00/2.17	                                                   plus_plus_int,pls)),
2.00/2.17	                     K) =
2.00/2.17	      K))).
2.00/2.17	tff('10', plain,
2.00/2.17	    ![X152 : int]:
2.00/2.17	      app_encode_app(int, int, 
2.00/2.17	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	          app_encode_app(int, fun_int_int, plus_plus_int, pls)), X152)
2.00/2.17	       = X152,
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_167])).
2.00/2.17	tff('11', plain,
2.00/2.17	    ![X0 : int]:
2.00/2.17	      app_encode_app(int, int, 
2.00/2.17	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	          app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	            app_encode_app(int, int, bit1, pls))), 
2.00/2.17	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, X0)))
2.00/2.17	       = app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, X0)),
2.00/2.17	    inference('demod', [status(thm)], ['9', '10'])).
2.00/2.17	tff(zf_stmt_169, axiom,
2.00/2.17	  (![K:int]:
2.00/2.17	     (app_encode_app(int,int,bit0,K) =
2.00/2.17	      app_encode_app(int,int,
2.00/2.17	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
2.00/2.17	                                    hAPP_int_int,
2.00/2.17	                                    app_encode_app(int,fun_int_int,
2.00/2.17	                                                   plus_plus_int,K)),
2.00/2.17	                     K)))).
2.00/2.17	tff('12', plain,
2.00/2.17	    ![X155 : int]:
2.00/2.17	      app_encode_app(int, int, bit0, X155)
2.00/2.17	       = app_encode_app(int, int, 
2.00/2.17	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	             hAPP_int_int, 
2.00/2.17	             app_encode_app(int, fun_int_int, plus_plus_int, X155)), X155),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_169])).
2.00/2.17	tff(zf_stmt_164, axiom, (pls = zero_zero_int)).
2.00/2.17	tff('13', plain, pls = zero_zero_int,
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_164])).
2.00/2.17	tff('14', plain,
2.00/2.17	    app_encode_app(nat, int, 
2.00/2.17	      app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
2.00/2.17	        app_encode_app(int, fun_nat_int, power_power_int, 
2.00/2.17	          app_encode_app(int, int, 
2.00/2.17	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	              hAPP_int_int, 
2.00/2.17	              app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	                app_encode_app(int, int, bit1, pls))), 
2.00/2.17	            app_encode_app(nat, int, 
2.00/2.17	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
2.00/2.17	                hAPP_nat_int, semiri1621563631at_int), n)))), 
2.00/2.17	      app_encode_app(int, nat, number_number_of_nat, 
2.00/2.17	        app_encode_app(int, int, 
2.00/2.17	          app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	            hAPP_int_int, 
2.00/2.17	            app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	              app_encode_app(int, int, bit1, pls))), 
2.00/2.17	          app_encode_app(int, int, bit1, pls))))
2.00/2.17	     = pls,
2.00/2.17	    inference('demod', [status(thm)], ['0', '3', '11', '12', '10', '13'])).
2.00/2.17	tff(zf_stmt_297, axiom,
2.00/2.17	  (![N_23:nat,A_62:int]:
2.00/2.17	     ((A_62 != zero_zero_int) =>
2.00/2.17	      (app_encode_app(nat,int,
2.00/2.17	                      app_encode_app(fun_nat_int,app_encode_fun(nat,int),
2.00/2.17	                                     hAPP_nat_int,
2.00/2.17	                                     app_encode_app(int,fun_nat_int,
2.00/2.17	                                                    power_power_int,A_62)),
2.00/2.17	                      N_23) !=
2.00/2.17	       zero_zero_int)))).
2.00/2.17	tff('15', plain,
2.00/2.17	    ![X379 : int, X380 : nat]:
2.00/2.17	      (app_encode_app(nat, int, 
2.00/2.17	         app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
2.00/2.17	           app_encode_app(int, fun_nat_int, power_power_int, X379)), X380)
2.00/2.17	        != zero_zero_int
2.00/2.17	       | X379 = zero_zero_int),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_297])).
2.00/2.17	tff('16', plain,
2.00/2.17	    ![X379 : int, X380 : nat]:
2.00/2.17	      (app_encode_app(nat, int, 
2.00/2.17	         app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
2.00/2.17	           app_encode_app(int, fun_nat_int, power_power_int, X379)), X380)
2.00/2.17	        != pls
2.00/2.17	       | X379 = pls),
2.00/2.17	    inference('demod', [status(thm)], ['15', '13', '13'])).
2.00/2.17	tff('17', plain,
2.00/2.17	    (pls != pls
2.00/2.17	     | app_encode_app(int, int, 
2.00/2.17	         app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	           app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	             app_encode_app(int, int, bit1, pls))), 
2.00/2.17	         app_encode_app(nat, int, 
2.00/2.17	           app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
2.00/2.17	             hAPP_nat_int, semiri1621563631at_int), n))
2.00/2.17	        = pls),
2.00/2.17	    inference('sup-', [status(thm)], ['14', '16'])).
2.00/2.17	tff('18', plain,
2.00/2.17	    app_encode_app(int, int, 
2.00/2.17	      app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	        app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	          app_encode_app(int, int, bit1, pls))), 
2.00/2.17	      app_encode_app(nat, int, 
2.00/2.17	        app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
2.00/2.17	          semiri1621563631at_int), n))
2.00/2.17	     = pls,
2.00/2.17	    inference('simplify', [status(thm)], ['17'])).
2.00/2.17	tff(zf_stmt_133, axiom,
2.00/2.17	  (![Z_2:int,W:int]:
2.00/2.17	     (app_encode_app(int,int,
2.00/2.17	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
2.00/2.17	                                    hAPP_int_int,
2.00/2.17	                                    app_encode_app(int,fun_int_int,
2.00/2.17	                                                   plus_plus_int,Z_2)),
2.00/2.17	                     W) =
2.00/2.17	      app_encode_app(int,int,
2.00/2.17	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
2.00/2.17	                                    hAPP_int_int,
2.00/2.17	                                    app_encode_app(int,fun_int_int,
2.00/2.17	                                                   plus_plus_int,W)),
2.00/2.17	                     Z_2)))).
2.00/2.17	tff('19', plain,
2.00/2.17	    ![X94 : int, X95 : int]:
2.00/2.17	      app_encode_app(int, int, 
2.00/2.17	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
2.00/2.17	          app_encode_app(int, fun_int_int, plus_plus_int, X95)), X94)
2.00/2.17	       = app_encode_app(int, int, 
2.00/2.17	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	             hAPP_int_int, 
2.00/2.17	             app_encode_app(int, fun_int_int, plus_plus_int, X94)), X95),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_133])).
2.00/2.17	tff(zf_stmt_336, axiom,
2.00/2.17	  (![A_59:int]:
2.00/2.17	     app_encode_app(bool,$o,hBOOL,
2.00/2.17	                    app_encode_app(int,bool,
2.00/2.17	                                   app_encode_app(fun_int_bool,
2.00/2.17	                                                  app_encode_fun(int,bool),
2.00/2.17	                                                  hAPP_int_bool,
2.00/2.17	                                                  app_encode_app(int,
2.00/2.17	                                                                 fun_int_bool,
2.00/2.17	                                                                 app_encode_app(
2.00/2.17	                                                                 fun_int_fun_int_bool,
2.00/2.17	                                                                 app_encode_fun(
2.00/2.17	                                                                 int,
2.00/2.17	                                                                 fun_int_bool),
2.00/2.17	                                                                 hAPP_i1948725293t_bool,
2.00/2.17	                                                                 ord_less_int),
2.00/2.17	                                                                 A_59)),
2.00/2.17	                                   app_encode_app(int,int,
2.00/2.17	                                                  app_encode_app(fun_int_int,
2.00/2.17	                                                                 app_encode_fun(
2.00/2.17	                                                                 int,int),
2.00/2.17	                                                                 hAPP_int_int,
2.00/2.17	                                                                 app_encode_app(
2.00/2.17	                                                                 int,
2.00/2.17	                                                                 fun_int_int,
2.00/2.17	                                                                 plus_plus_int,
2.00/2.17	                                                                 A_59)),
2.00/2.17	                                                  one_one_int))))).
2.00/2.17	tff('20', plain,
2.00/2.17	    ![X438 : int]:
2.00/2.17	      app_encode_app(bool, $o, hBOOL, 
2.00/2.17	        app_encode_app(int, bool, 
2.00/2.17	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
2.00/2.17	            hAPP_int_bool, 
2.00/2.17	            app_encode_app(int, fun_int_bool, 
2.00/2.17	              app_encode_app(fun_int_fun_int_bool, 
2.00/2.17	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
2.00/2.17	                ord_less_int), X438)), 
2.00/2.17	          app_encode_app(int, int, 
2.00/2.17	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	              hAPP_int_int, 
2.00/2.17	              app_encode_app(int, fun_int_int, plus_plus_int, X438)), 
2.00/2.17	            one_one_int))),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_336])).
2.00/2.17	tff('21', plain,
2.00/2.17	    ![X438 : int]:
2.00/2.17	      app_encode_app(bool, $o, hBOOL, 
2.00/2.17	        app_encode_app(int, bool, 
2.00/2.17	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
2.00/2.17	            hAPP_int_bool, 
2.00/2.17	            app_encode_app(int, fun_int_bool, 
2.00/2.17	              app_encode_app(fun_int_fun_int_bool, 
2.00/2.17	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
2.00/2.17	                ord_less_int), X438)), 
2.00/2.17	          app_encode_app(int, int, 
2.00/2.17	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	              hAPP_int_int, 
2.00/2.17	              app_encode_app(int, fun_int_int, plus_plus_int, X438)), 
2.00/2.17	            app_encode_app(int, int, bit1, pls)))),
2.00/2.17	    inference('demod', [status(thm)], ['20', '3'])).
2.00/2.17	tff('22', plain,
2.00/2.17	    ![X0 : int]:
2.00/2.17	      app_encode_app(bool, $o, hBOOL, 
2.00/2.17	        app_encode_app(int, bool, 
2.00/2.17	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
2.00/2.17	            hAPP_int_bool, 
2.00/2.17	            app_encode_app(int, fun_int_bool, 
2.00/2.17	              app_encode_app(fun_int_fun_int_bool, 
2.00/2.17	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
2.00/2.17	                ord_less_int), X0)), 
2.00/2.17	          app_encode_app(int, int, 
2.00/2.17	            app_encode_app(fun_int_int, app_encode_fun(int, int), 
2.00/2.17	              hAPP_int_int, 
2.00/2.17	              app_encode_app(int, fun_int_int, plus_plus_int, 
2.00/2.17	                app_encode_app(int, int, bit1, pls))), X0))),
2.00/2.17	    inference('sup+', [status(thm)], ['19', '21'])).
2.00/2.17	tff('23', plain,
2.00/2.17	    app_encode_app(bool, $o, hBOOL, 
2.00/2.17	      app_encode_app(int, bool, 
2.00/2.17	        app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
2.00/2.17	          hAPP_int_bool, 
2.00/2.17	          app_encode_app(int, fun_int_bool, 
2.00/2.17	            app_encode_app(fun_int_fun_int_bool, 
2.00/2.17	              app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
2.00/2.17	              ord_less_int), 
2.00/2.17	            app_encode_app(nat, int, 
2.00/2.17	              app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
2.00/2.17	                hAPP_nat_int, semiri1621563631at_int), n))), pls)),
2.00/2.17	    inference('sup+', [status(thm)], ['18', '22'])).
2.00/2.17	tff(zf_stmt_149, axiom,
2.00/2.17	  (![K:nat]:
2.00/2.17	     (~
2.00/2.17	       app_encode_app(bool,$o,hBOOL,
2.00/2.17	                      app_encode_app(int,bool,
2.00/2.17	                                     app_encode_app(fun_int_bool,
2.00/2.17	                                                    app_encode_fun(int,bool),
2.00/2.17	                                                    hAPP_int_bool,
2.00/2.17	                                                    app_encode_app(int,
2.00/2.17	                                                                   fun_int_bool,
2.00/2.17	                                                                   app_encode_app(
2.00/2.17	                                                                   fun_int_fun_int_bool,
2.00/2.17	                                                                   app_encode_fun(
2.00/2.17	                                                                   int,
2.00/2.17	                                                                   fun_int_bool),
2.00/2.17	                                                                   hAPP_i1948725293t_bool,
2.00/2.17	                                                                   ord_less_int),
2.00/2.17	                                                                   app_encode_app(
2.00/2.17	                                                                   nat,int,
2.00/2.17	                                                                   app_encode_app(
2.00/2.17	                                                                   fun_nat_int,
2.00/2.17	                                                                   app_encode_fun(
2.00/2.17	                                                                   nat,int),
2.00/2.17	                                                                   hAPP_nat_int,
2.00/2.17	                                                                   semiri1621563631at_int),
2.00/2.17	                                                                   K))),
2.00/2.17	                                     zero_zero_int))))).
2.00/2.17	tff('24', plain,
2.00/2.17	    ![X126 : nat]:
2.00/2.17	      ~ app_encode_app(bool, $o, hBOOL, 
2.00/2.17	          app_encode_app(int, bool, 
2.00/2.17	            app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
2.00/2.17	              hAPP_int_bool, 
2.00/2.17	              app_encode_app(int, fun_int_bool, 
2.00/2.17	                app_encode_app(fun_int_fun_int_bool, 
2.00/2.17	                  app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
2.00/2.17	                  ord_less_int), 
2.00/2.17	                app_encode_app(nat, int, 
2.00/2.17	                  app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
2.00/2.17	                    hAPP_nat_int, semiri1621563631at_int), X126))), 
2.00/2.17	            zero_zero_int)),
2.00/2.17	    inference('cnf', [status(esa)], [zf_stmt_149])).
2.00/2.17	tff('25', plain,
2.00/2.17	    ![X126 : nat]:
2.00/2.17	      ~ app_encode_app(bool, $o, hBOOL, 
2.00/2.17	          app_encode_app(int, bool, 
2.00/2.17	            app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
2.00/2.17	              hAPP_int_bool, 
2.00/2.17	              app_encode_app(int, fun_int_bool, 
2.00/2.17	                app_encode_app(fun_int_fun_int_bool, 
2.00/2.17	                  app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
2.00/2.17	                  ord_less_int), 
2.00/2.17	                app_encode_app(nat, int, 
2.00/2.17	                  app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
2.00/2.17	                    hAPP_nat_int, semiri1621563631at_int), X126))), pls)),
2.00/2.17	    inference('demod', [status(thm)], ['24', '13'])).
2.00/2.17	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['23', '25'])).
2.00/2.17	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
2.00/2.17	
2.00/2.17	% SZS output end Refutation
2.00/2.17	EOF
