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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n103.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:50:08 CST 2018
1.98/2.17	% done 912 iterations in 1.971s
1.98/2.17	% SZS status Theorem for 'stdin'
1.98/2.17	% SZS output start Refutation
1.98/2.18	tff(zf_stmt_32, axiom,
1.98/2.18	  (app_encode_app(int,$o,
1.98/2.18	                  app_encode_app(int,app_encode_fun(int,$o),quadRes,
1.98/2.18	                                 app_encode_app(int,int,
1.98/2.18	                                                app_encode_app(int,
1.98/2.18	                                                               app_encode_fun(
1.98/2.18	                                                               int,int),
1.98/2.18	                                                               plus_plus(int),
1.98/2.18	                                                               app_encode_app(
1.98/2.18	                                                               int,int,
1.98/2.18	                                                               app_encode_app(
1.98/2.18	                                                               int,
1.98/2.18	                                                               app_encode_fun(
1.98/2.18	                                                               int,int),
1.98/2.18	                                                               times_times(
1.98/2.18	                                                               int),
1.98/2.18	                                                               app_encode_app(
1.98/2.18	                                                               int,int,
1.98/2.18	                                                               number_number_of(
1.98/2.18	                                                               int),
1.98/2.18	                                                               app_encode_app(
1.98/2.18	                                                               int,int,bit0,
1.98/2.18	                                                               app_encode_app(
1.98/2.18	                                                               int,int,bit0,
1.98/2.18	                                                               app_encode_app(
1.98/2.18	                                                               int,int,bit1,
1.98/2.18	                                                               pls))))),m)),
1.98/2.18	                                                one_one(int))),
1.98/2.18	                  app_encode_app(int,int,number_number_of(int),min)))).
1.98/2.18	tff('0', plain,
1.98/2.18	    app_encode_app(int, $o, 
1.98/2.18	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
1.98/2.18	        app_encode_app(int, int, 
1.98/2.18	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	            app_encode_app(int, int, 
1.98/2.18	              app_encode_app(int, app_encode_fun(int, int), 
1.98/2.18	                times_times(int), 
1.98/2.18	                app_encode_app(int, int, number_number_of(int), 
1.98/2.18	                  app_encode_app(int, int, bit0, 
1.98/2.18	                    app_encode_app(int, int, bit0, 
1.98/2.18	                      app_encode_app(int, int, bit1, pls))))), m)), 
1.98/2.18	          one_one(int))), 
1.98/2.18	      app_encode_app(int, int, number_number_of(int), min)),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_32])).
1.98/2.18	tff(zf_stmt_82, axiom,
1.98/2.18	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
1.98/2.18	tff('1', plain,
1.98/2.18	    ![X84 : int]: app_encode_app(int, int, number_number_of(int), X84) = X84,
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_82])).
1.98/2.18	tff('2', plain,
1.98/2.18	    app_encode_app(int, $o, 
1.98/2.18	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
1.98/2.18	        app_encode_app(int, int, 
1.98/2.18	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	            app_encode_app(int, int, 
1.98/2.18	              app_encode_app(int, app_encode_fun(int, int), 
1.98/2.18	                times_times(int), 
1.98/2.18	                app_encode_app(int, int, bit0, 
1.98/2.18	                  app_encode_app(int, int, bit0, 
1.98/2.18	                    app_encode_app(int, int, bit1, pls)))), m)), 
1.98/2.18	          one_one(int))), min),
1.98/2.18	    inference('demod', [status(thm)], ['0', '1', '1'])).
1.98/2.18	tff(zf_stmt_104, axiom,
1.98/2.18	  (one_one(int) =
1.98/2.18	   app_encode_app(int,int,number_number_of(int),
1.98/2.18	                  app_encode_app(int,int,bit1,pls)))).
1.98/2.18	tff('3', plain,
1.98/2.18	    one_one(int)
1.98/2.18	     = app_encode_app(int, int, number_number_of(int), 
1.98/2.18	         app_encode_app(int, int, bit1, pls)),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_104])).
1.98/2.18	tff('4', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
1.98/2.18	    inference('demod', [status(thm)], ['3', '1'])).
1.98/2.18	tff(zf_stmt_59, axiom,
1.98/2.18	  (![L:int,K1:int]:
1.98/2.18	     (app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    times_times(int),
1.98/2.18	                                    app_encode_app(int,int,bit0,K1)),
1.98/2.18	                     L) =
1.98/2.18	      app_encode_app(int,int,bit0,
1.98/2.18	                     app_encode_app(int,int,
1.98/2.18	                                    app_encode_app(int,
1.98/2.18	                                                   app_encode_fun(int,int),
1.98/2.18	                                                   times_times(int),K1),
1.98/2.18	                                    L))))).
1.98/2.18	tff('5', plain,
1.98/2.18	    ![X43 : int, X44 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.98/2.18	          app_encode_app(int, int, bit0, X43)), X44)
1.98/2.18	       = app_encode_app(int, int, bit0, 
1.98/2.18	           app_encode_app(int, int, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.98/2.18	               X43), X44)),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_59])).
1.98/2.18	tff(zf_stmt_58, axiom,
1.98/2.18	  (![W:int]:
1.98/2.18	     (app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    times_times(int),pls),
1.98/2.18	                     W) =
1.98/2.18	      pls))).
1.98/2.18	tff('6', plain,
1.98/2.18	    ![X42 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.98/2.18	        X42)
1.98/2.18	       = pls,
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_58])).
1.98/2.18	tff(zf_stmt_41, axiom,
1.98/2.18	  (![L:int,K1:int]:
1.98/2.18	     (app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    times_times(int),
1.98/2.18	                                    app_encode_app(int,int,bit1,K1)),
1.98/2.18	                     L) =
1.98/2.18	      app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    plus_plus(int),
1.98/2.18	                                    app_encode_app(int,int,bit0,
1.98/2.18	                                                   app_encode_app(int,int,
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,
1.98/2.18	                                                                  app_encode_fun(
1.98/2.18	                                                                  int,int),
1.98/2.18	                                                                  times_times(
1.98/2.18	                                                                  int),K1),L))),
1.98/2.18	                     L)))).
1.98/2.18	tff('7', plain,
1.98/2.18	    ![X8 : int, X9 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.98/2.18	          app_encode_app(int, int, bit1, X8)), X9)
1.98/2.18	       = app_encode_app(int, int, 
1.98/2.18	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	             app_encode_app(int, int, bit0, 
1.98/2.18	               app_encode_app(int, int, 
1.98/2.18	                 app_encode_app(int, app_encode_fun(int, int), 
1.98/2.18	                   times_times(int), X8), X9))), X9),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_41])).
1.98/2.18	tff('8', plain,
1.98/2.18	    ![X0 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.98/2.18	          app_encode_app(int, int, bit1, pls)), X0)
1.98/2.18	       = app_encode_app(int, int, 
1.98/2.18	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	             app_encode_app(int, int, bit0, pls)), X0),
1.98/2.18	    inference('sup+', [status(thm)], ['6', '7'])).
1.98/2.18	tff(zf_stmt_57, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.98/2.18	tff('9', plain, app_encode_app(int, int, bit0, pls) = pls,
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_57])).
1.98/2.18	tff('10', plain,
1.98/2.18	    ![X0 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.98/2.18	          one_one(int)), X0)
1.98/2.18	       = app_encode_app(int, int, 
1.98/2.18	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.98/2.18	           X0),
1.98/2.18	    inference('demod', [status(thm)], ['8', '4', '9'])).
1.98/2.18	tff(zf_stmt_87, axiom,
1.98/2.18	  (![K1:int]:
1.98/2.18	     (app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    plus_plus(int),pls),
1.98/2.18	                     K1) =
1.98/2.18	      K1))).
1.98/2.18	tff('11', plain,
1.98/2.18	    ![X92 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.98/2.18	        X92)
1.98/2.18	       = X92,
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_87])).
1.98/2.18	tff('12', plain,
1.98/2.18	    ![X0 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.98/2.18	          one_one(int)), X0)
1.98/2.18	       = X0,
1.98/2.18	    inference('demod', [status(thm)], ['10', '11'])).
1.98/2.18	tff(zf_stmt_46, axiom,
1.98/2.18	  (![L:int,K1:int]:
1.98/2.18	     (app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    plus_plus(int),
1.98/2.18	                                    app_encode_app(int,int,bit0,K1)),
1.98/2.18	                     app_encode_app(int,int,bit1,L)) =
1.98/2.18	      app_encode_app(int,int,bit1,
1.98/2.18	                     app_encode_app(int,int,
1.98/2.18	                                    app_encode_app(int,
1.98/2.18	                                                   app_encode_fun(int,int),
1.98/2.18	                                                   plus_plus(int),K1),
1.98/2.18	                                    L))))).
1.98/2.18	tff('13', plain,
1.98/2.18	    ![X18 : int, X19 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	          app_encode_app(int, int, bit0, X18)), 
1.98/2.18	        app_encode_app(int, int, bit1, X19))
1.98/2.18	       = app_encode_app(int, int, bit1, 
1.98/2.18	           app_encode_app(int, int, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	               X18), X19)),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.98/2.18	tff('14', plain,
1.98/2.18	    ![X0 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.98/2.18	       = app_encode_app(int, int, bit1, 
1.98/2.18	           app_encode_app(int, int, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	               X0), pls)),
1.98/2.18	    inference('sup+', [status(thm)], ['4', '13'])).
1.98/2.18	tff(zf_stmt_86, axiom,
1.98/2.18	  (![K1:int]:
1.98/2.18	     (app_encode_app(int,int,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,int),
1.98/2.18	                                    plus_plus(int),K1),
1.98/2.18	                     pls) =
1.98/2.18	      K1))).
1.98/2.18	tff('15', plain,
1.98/2.18	    ![X91 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X91), 
1.98/2.18	        pls)
1.98/2.18	       = X91,
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_86])).
1.98/2.18	tff('16', plain,
1.98/2.18	    ![X0 : int]:
1.98/2.18	      app_encode_app(int, int, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.98/2.18	       = app_encode_app(int, int, bit1, X0),
1.98/2.18	    inference('demod', [status(thm)], ['14', '15'])).
1.98/2.18	tff('17', plain,
1.98/2.18	    app_encode_app(int, $o, 
1.98/2.18	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
1.98/2.18	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.98/2.18	      min),
1.98/2.18	    inference('demod', [status(thm)], ['2', '4', '5', '5', '12', '16'])).
1.98/2.18	tff(zf_stmt_117, axiom,
1.98/2.18	  (![X1:int,Ma:int]:
1.98/2.18	     (app_encode_app(int,$o,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,$o),quadRes,Ma),X1) <=>
1.98/2.18	      (?[Y1:int]:
1.98/2.18	         app_encode_app(int,$o,
1.98/2.18	                        app_encode_app(int,app_encode_fun(int,$o),
1.98/2.18	                                       app_encode_app(int,
1.98/2.18	                                                      app_encode_fun(
1.98/2.18	                                                      int,
1.98/2.18	                                                      app_encode_fun(int,$o)),
1.98/2.18	                                                      zcong,
1.98/2.18	                                                      app_encode_app(
1.98/2.18	                                                      nat,int,
1.98/2.18	                                                      app_encode_app(
1.98/2.18	                                                      int,
1.98/2.18	                                                      app_encode_fun(nat,int),
1.98/2.18	                                                      power_power(int),Y1),
1.98/2.18	                                                      app_encode_app(
1.98/2.18	                                                      int,nat,
1.98/2.18	                                                      number_number_of(nat),
1.98/2.18	                                                      app_encode_app(
1.98/2.18	                                                      int,int,bit0,
1.98/2.18	                                                      app_encode_app(
1.98/2.18	                                                      int,int,bit1,pls))))),
1.98/2.18	                                       X1),
1.98/2.18	                        Ma))))).
1.98/2.18	tff('18', plain,
1.98/2.18	    ![X145 : int, X146 : int]:
1.98/2.18	      (app_encode_app(int, $o, 
1.98/2.18	         app_encode_app(int, app_encode_fun(int, $o), 
1.98/2.18	           app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.98/2.18	             zcong, 
1.98/2.18	             app_encode_app(nat, int, 
1.98/2.18	               app_encode_app(int, app_encode_fun(nat, int), 
1.98/2.18	                 power_power(int), sk_Y1(X145, X146)), 
1.98/2.18	               app_encode_app(int, nat, number_number_of(nat), 
1.98/2.18	                 app_encode_app(int, int, bit0, 
1.98/2.18	                   app_encode_app(int, int, bit1, pls))))), X146), X145)
1.98/2.18	       | ~ app_encode_app(int, $o, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, $o), quadRes, X145), 
1.98/2.18	             X146)),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_117])).
1.98/2.18	tff('19', plain,
1.98/2.18	    ![X145 : int, X146 : int]:
1.98/2.18	      (app_encode_app(int, $o, 
1.98/2.18	         app_encode_app(int, app_encode_fun(int, $o), 
1.98/2.18	           app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
1.98/2.18	             zcong, 
1.98/2.18	             app_encode_app(nat, int, 
1.98/2.18	               app_encode_app(int, app_encode_fun(nat, int), 
1.98/2.18	                 power_power(int), sk_Y1(X145, X146)), 
1.98/2.18	               app_encode_app(int, nat, number_number_of(nat), 
1.98/2.18	                 app_encode_app(int, int, bit0, one_one(int))))), X146), 
1.98/2.18	         X145)
1.98/2.18	       | ~ app_encode_app(int, $o, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, $o), quadRes, X145), 
1.98/2.18	             X146)),
1.98/2.18	    inference('demod', [status(thm)], ['18', '4'])).
1.98/2.18	tff(zf_stmt_153, axiom,
1.98/2.18	  (![S1:int]:
1.98/2.18	     (app_encode_app(int,$o,
1.98/2.18	                     app_encode_app(int,app_encode_fun(int,$o),
1.98/2.18	                                    app_encode_app(int,
1.98/2.18	                                                   app_encode_fun(int,
1.98/2.18	                                                                  app_encode_fun(
1.98/2.18	                                                                  int,$o)),
1.98/2.18	                                                   zcong,
1.98/2.18	                                                   app_encode_app(nat,int,
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,
1.98/2.18	                                                                  app_encode_fun(
1.98/2.18	                                                                  nat,int),
1.98/2.18	                                                                  power_power(
1.98/2.18	                                                                  int),S1),
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,nat,
1.98/2.18	                                                                  number_number_of(
1.98/2.18	                                                                  nat),
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,int,
1.98/2.18	                                                                  bit0,
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,int,
1.98/2.18	                                                                  bit1,pls))))),
1.98/2.18	                                    app_encode_app(int,int,
1.98/2.18	                                                   number_number_of(int),min)),
1.98/2.18	                     app_encode_app(int,int,
1.98/2.18	                                    app_encode_app(int,
1.98/2.18	                                                   app_encode_fun(int,int),
1.98/2.18	                                                   plus_plus(int),
1.98/2.18	                                                   app_encode_app(int,int,
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,
1.98/2.18	                                                                  app_encode_fun(
1.98/2.18	                                                                  int,int),
1.98/2.18	                                                                  times_times(
1.98/2.18	                                                                  int),
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,int,
1.98/2.18	                                                                  number_number_of(
1.98/2.18	                                                                  int),
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,int,
1.98/2.18	                                                                  bit0,
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,int,
1.98/2.18	                                                                  bit0,
1.98/2.18	                                                                  app_encode_app(
1.98/2.18	                                                                  int,int,
1.98/2.18	                                                                  bit1,pls))))),
1.98/2.18	                                                                  m)),
1.98/2.18	                                    one_one(int))) =>
1.98/2.18	      thesis))).
1.98/2.18	tff('20', plain,
1.98/2.18	    ![X182 : int]:
1.98/2.18	      (thesis
1.98/2.18	       | ~ app_encode_app(int, $o, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, $o), 
1.98/2.18	               app_encode_app(int, 
1.98/2.18	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, 
1.98/2.18	                 app_encode_app(nat, int, 
1.98/2.18	                   app_encode_app(int, app_encode_fun(nat, int), 
1.98/2.18	                     power_power(int), X182), 
1.98/2.18	                   app_encode_app(int, nat, number_number_of(nat), 
1.98/2.18	                     app_encode_app(int, int, bit0, 
1.98/2.18	                       app_encode_app(int, int, bit1, pls))))), 
1.98/2.18	               app_encode_app(int, int, number_number_of(int), min)), 
1.98/2.18	             app_encode_app(int, int, 
1.98/2.18	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.98/2.18	                 app_encode_app(int, int, 
1.98/2.18	                   app_encode_app(int, app_encode_fun(int, int), 
1.98/2.18	                     times_times(int), 
1.98/2.18	                     app_encode_app(int, int, number_number_of(int), 
1.98/2.18	                       app_encode_app(int, int, bit0, 
1.98/2.18	                         app_encode_app(int, int, bit0, 
1.98/2.18	                           app_encode_app(int, int, bit1, pls))))), m)), 
1.98/2.18	               one_one(int)))),
1.98/2.18	    inference('cnf', [status(esa)], [zf_stmt_153])).
1.98/2.18	tff('21', plain,
1.98/2.18	    ![X182 : int]:
1.98/2.18	      (thesis
1.98/2.18	       | ~ app_encode_app(int, $o, 
1.98/2.18	             app_encode_app(int, app_encode_fun(int, $o), 
1.98/2.18	               app_encode_app(int, 
1.98/2.18	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, 
1.98/2.18	                 app_encode_app(nat, int, 
1.98/2.18	                   app_encode_app(int, app_encode_fun(nat, int), 
1.98/2.18	                     power_power(int), X182), 
1.98/2.18	                   app_encode_app(int, nat, number_number_of(nat), 
1.98/2.18	                     app_encode_app(int, int, bit0, one_one(int))))), min), 
1.98/2.18	             app_encode_app(int, int, bit1, 
1.98/2.18	               app_encode_app(int, int, bit0, m)))),
1.98/2.18	    inference('demod', [status(thm)],
1.98/2.18	              ['20', '4', '1', '4', '1', '5', '5', '12', '16'])).
1.98/2.18	tff(zf_stmt_154, conjecture, (thesis)).
1.98/2.18	tff(zf_stmt_0, negated_conjecture, (~thesis)).
1.98/2.18	tff('22', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
1.98/2.18	tff('23', plain,
1.98/2.18	    ![X182 : int]:
1.98/2.18	      ~ app_encode_app(int, $o, 
1.98/2.18	          app_encode_app(int, app_encode_fun(int, $o), 
1.98/2.18	            app_encode_app(int, 
1.98/2.18	              app_encode_fun(int, app_encode_fun(int, $o)), zcong, 
1.98/2.18	              app_encode_app(nat, int, 
1.98/2.18	                app_encode_app(int, app_encode_fun(nat, int), 
1.98/2.18	                  power_power(int), X182), 
1.98/2.18	                app_encode_app(int, nat, number_number_of(nat), 
1.98/2.18	                  app_encode_app(int, int, bit0, one_one(int))))), min), 
1.98/2.18	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
1.98/2.18	    inference('clc', [status(thm)], ['21', '22'])).
1.98/2.18	tff('24', plain,
1.98/2.18	    (~ $true
1.98/2.18	     | ~ app_encode_app(int, $o, 
1.98/2.18	           app_encode_app(int, app_encode_fun(int, $o), quadRes, 
1.98/2.18	             app_encode_app(int, int, bit1, 
1.98/2.18	               app_encode_app(int, int, bit0, m))), min)),
1.98/2.18	    inference('sup-', [status(thm)], ['19', '23'])).
1.98/2.18	tff('25', plain,
1.98/2.18	    ~ app_encode_app(int, $o, 
1.98/2.18	        app_encode_app(int, app_encode_fun(int, $o), quadRes, 
1.98/2.18	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.98/2.18	        min),
1.98/2.18	    inference('simplify', [status(thm)], ['24'])).
1.98/2.18	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['17', '25'])).
1.98/2.18	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
1.98/2.18	
1.98/2.18	% SZS output end Refutation
1.98/2.18	EOF
