0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n049.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:39:54 CST 2018
103.71/103.90	% done 10700 iterations in 103.692s
103.71/103.90	% SZS status Theorem for 'stdin'
103.71/103.90	% SZS output start Refutation
103.71/103.90	tff(zf_stmt_26, axiom,
103.71/103.90	  (app_encode_app(int,$o,
103.71/103.90	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
103.71/103.90	                                 one_one(int)),
103.71/103.90	                  m))).
103.71/103.90	tff('0', plain,
103.71/103.90	    app_encode_app(int, $o, 
103.71/103.90	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
103.71/103.90	        one_one(int)), m),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_26])).
103.71/103.90	tff(zf_stmt_94, axiom,
103.71/103.90	  (![K:int]:
103.71/103.90	     (app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    plus_plus(int),pls),
103.71/103.90	                     K) =
103.71/103.90	      K))).
103.71/103.90	tff('1', plain,
103.71/103.90	    ![X164 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
103.71/103.90	        X164)
103.71/103.90	       = X164,
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_94])).
103.71/103.90	tff(zf_stmt_90, axiom,
103.71/103.90	  (![Z1:int,W1:int]:
103.71/103.90	     (app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),
103.71/103.90	                                    ord_less_eq(int),
103.71/103.90	                                    app_encode_app(int,int,
103.71/103.90	                                                   app_encode_app(int,
103.71/103.90	                                                                  app_encode_fun(
103.71/103.90	                                                                  int,int),
103.71/103.90	                                                                  plus_plus(
103.71/103.90	                                                                  int),W1),
103.71/103.90	                                                   one_one(int))),
103.71/103.90	                     Z1) <=>
103.71/103.90	      app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                    W1),
103.71/103.90	                     Z1)))).
103.71/103.90	tff('2', plain,
103.71/103.90	    ![X154 : int, X155 : int]:
103.71/103.90	      (app_encode_app(int, $o, 
103.71/103.90	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), X154), 
103.71/103.90	         X155)
103.71/103.90	       | ~ app_encode_app(int, $o, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
103.71/103.90	               app_encode_app(int, int, 
103.71/103.90	                 app_encode_app(int, app_encode_fun(int, int), 
103.71/103.90	                   plus_plus(int), X154), one_one(int))), X155)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_90])).
103.71/103.90	tff('3', plain,
103.71/103.90	    ![X0 : int]:
103.71/103.90	      (~ app_encode_app(int, $o, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
103.71/103.90	             one_one(int)), X0)
103.71/103.90	       | app_encode_app(int, $o, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
103.71/103.90	           X0)),
103.71/103.90	    inference('sup-', [status(thm)], ['1', '2'])).
103.71/103.90	tff('4', plain,
103.71/103.90	    (~ $true
103.71/103.90	     | app_encode_app(int, $o, 
103.71/103.90	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), m)),
103.71/103.90	    inference('sup-', [status(thm)], ['0', '3'])).
103.71/103.90	tff('5', plain,
103.71/103.90	    app_encode_app(int, $o, 
103.71/103.90	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), m),
103.71/103.90	    inference('simplify', [status(thm)], ['4'])).
103.71/103.90	tff(zf_stmt_112, axiom,
103.71/103.90	  (one_one(int) =
103.71/103.90	   app_encode_app(int,int,number_number_of(int),
103.71/103.90	                  app_encode_app(int,int,bit1,pls)))).
103.71/103.90	tff('6', plain,
103.71/103.90	    one_one(int)
103.71/103.90	     = app_encode_app(int, int, number_number_of(int), 
103.71/103.90	         app_encode_app(int, int, bit1, pls)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_112])).
103.71/103.90	tff(zf_stmt_85, axiom,
103.71/103.90	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
103.71/103.90	tff('7', plain,
103.71/103.90	    ![X142 : int]:
103.71/103.90	      app_encode_app(int, int, number_number_of(int), X142) = X142,
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_85])).
103.71/103.90	tff('8', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
103.71/103.90	    inference('demod', [status(thm)], ['6', '7'])).
103.71/103.90	tff(zf_stmt_39, axiom,
103.71/103.90	  (![L:int,K3:int]:
103.71/103.90	     (app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                    app_encode_app(int,int,bit1,K3)),
103.71/103.90	                     app_encode_app(int,int,bit0,L)) <=>
103.71/103.90	      app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                    K3),
103.71/103.90	                     L)))).
103.71/103.90	tff('9', plain,
103.71/103.90	    ![X23 : int, X24 : int]:
103.71/103.90	      (app_encode_app(int, $o, 
103.71/103.90	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	           app_encode_app(int, int, bit1, X24)), 
103.71/103.90	         app_encode_app(int, int, bit0, X23))
103.71/103.90	       | ~ app_encode_app(int, $o, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), X24), 
103.71/103.90	             X23)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_39])).
103.71/103.90	tff('10', plain,
103.71/103.90	    ![X0 : int]:
103.71/103.90	      (app_encode_app(int, $o, 
103.71/103.90	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	           one_one(int)), app_encode_app(int, int, bit0, X0))
103.71/103.90	       | ~ app_encode_app(int, $o, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
103.71/103.90	             X0)),
103.71/103.90	    inference('sup+', [status(thm)], ['8', '9'])).
103.71/103.90	tff(zf_stmt_81, axiom,
103.71/103.90	  (![W1:int,Z1:int]:
103.71/103.90	     (app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                    Z1),
103.71/103.90	                     W1) <=>
103.71/103.90	      (app_encode_app(int,$o,
103.71/103.90	                      app_encode_app(int,app_encode_fun(int,$o),
103.71/103.90	                                     ord_less_eq(int),Z1),
103.71/103.90	                      W1) & 
103.71/103.90	       (Z1 != W1))))).
103.71/103.90	tff('11', plain,
103.71/103.90	    ![X128 : int, X129 : int]:
103.71/103.90	      (app_encode_app(int, $o, 
103.71/103.90	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), X128), 
103.71/103.90	         X129)
103.71/103.90	       | ~ app_encode_app(int, $o, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	               X128), X129)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_81])).
103.71/103.90	tff(zf_stmt_75, axiom,
103.71/103.90	  (![L:int,K3:int]:
103.71/103.90	     (app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                    app_encode_app(int,int,bit0,K3)),
103.71/103.90	                     app_encode_app(int,int,bit1,L)) <=>
103.71/103.90	      app_encode_app(int,$o,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,$o),
103.71/103.90	                                    ord_less_eq(int),K3),
103.71/103.90	                     L)))).
103.71/103.90	tff('12', plain,
103.71/103.90	    ![X111 : int, X112 : int]:
103.71/103.90	      (app_encode_app(int, $o, 
103.71/103.90	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	           app_encode_app(int, int, bit0, X112)), 
103.71/103.90	         app_encode_app(int, int, bit1, X111))
103.71/103.90	       | ~ app_encode_app(int, $o, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
103.71/103.90	               X112), X111)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_75])).
103.71/103.90	tff(zf_stmt_138, conjecture,
103.71/103.90	  (app_encode_app(int,$o,
103.71/103.90	                  app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                 app_encode_app(int,int,
103.71/103.90	                                                number_number_of(int),
103.71/103.90	                                                app_encode_app(int,int,bit0,
103.71/103.90	                                                               app_encode_app(
103.71/103.90	                                                               int,int,bit1,
103.71/103.90	                                                               pls)))),
103.71/103.90	                  app_encode_app(int,int,
103.71/103.90	                                 app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                                plus_plus(int),
103.71/103.90	                                                app_encode_app(int,int,
103.71/103.90	                                                               app_encode_app(
103.71/103.90	                                                               int,
103.71/103.90	                                                               app_encode_fun(
103.71/103.90	                                                               int,int),
103.71/103.90	                                                               times_times(
103.71/103.90	                                                               int),
103.71/103.90	                                                               app_encode_app(
103.71/103.90	                                                               int,int,
103.71/103.90	                                                               number_number_of(
103.71/103.90	                                                               int),
103.71/103.90	                                                               app_encode_app(
103.71/103.90	                                                               int,int,bit0,
103.71/103.90	                                                               app_encode_app(
103.71/103.90	                                                               int,int,bit0,
103.71/103.90	                                                               app_encode_app(
103.71/103.90	                                                               int,int,bit1,
103.71/103.90	                                                               pls))))),m)),
103.71/103.90	                                 one_one(int))))).
103.71/103.90	tff(zf_stmt_0, negated_conjecture,
103.71/103.90	  (~
103.71/103.90	    app_encode_app(int,$o,
103.71/103.90	                   app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
103.71/103.90	                                  app_encode_app(int,int,
103.71/103.90	                                                 number_number_of(int),
103.71/103.90	                                                 app_encode_app(int,int,bit0,
103.71/103.90	                                                                app_encode_app(
103.71/103.90	                                                                int,int,bit1,
103.71/103.90	                                                                pls)))),
103.71/103.90	                   app_encode_app(int,int,
103.71/103.90	                                  app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                                 plus_plus(int),
103.71/103.90	                                                 app_encode_app(int,int,
103.71/103.90	                                                                app_encode_app(
103.71/103.90	                                                                int,
103.71/103.90	                                                                app_encode_fun(
103.71/103.90	                                                                int,int),
103.71/103.90	                                                                times_times(
103.71/103.90	                                                                int),
103.71/103.90	                                                                app_encode_app(
103.71/103.90	                                                                int,int,
103.71/103.90	                                                                number_number_of(
103.71/103.90	                                                                int),
103.71/103.90	                                                                app_encode_app(
103.71/103.90	                                                                int,int,bit0,
103.71/103.90	                                                                app_encode_app(
103.71/103.90	                                                                int,int,bit0,
103.71/103.90	                                                                app_encode_app(
103.71/103.90	                                                                int,int,bit1,
103.71/103.90	                                                                pls))))),m)),
103.71/103.90	                                  one_one(int))))).
103.71/103.90	tff('13', plain,
103.71/103.90	    ~ app_encode_app(int, $o, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	          app_encode_app(int, int, number_number_of(int), 
103.71/103.90	            app_encode_app(int, int, bit0, 
103.71/103.90	              app_encode_app(int, int, bit1, pls)))), 
103.71/103.90	        app_encode_app(int, int, 
103.71/103.90	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	            app_encode_app(int, int, 
103.71/103.90	              app_encode_app(int, app_encode_fun(int, int), 
103.71/103.90	                times_times(int), 
103.71/103.90	                app_encode_app(int, int, number_number_of(int), 
103.71/103.90	                  app_encode_app(int, int, bit0, 
103.71/103.90	                    app_encode_app(int, int, bit0, 
103.71/103.90	                      app_encode_app(int, int, bit1, pls))))), m)), 
103.71/103.90	          one_one(int))),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
103.71/103.90	tff(zf_stmt_57, axiom,
103.71/103.90	  (![L1:int,K:int]:
103.71/103.90	     (app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    times_times(int),
103.71/103.90	                                    app_encode_app(int,int,bit0,K)),
103.71/103.90	                     L1) =
103.71/103.90	      app_encode_app(int,int,bit0,
103.71/103.90	                     app_encode_app(int,int,
103.71/103.90	                                    app_encode_app(int,
103.71/103.90	                                                   app_encode_fun(int,int),
103.71/103.90	                                                   times_times(int),K),
103.71/103.90	                                    L1))))).
103.71/103.90	tff('14', plain,
103.71/103.90	    ![X58 : int, X59 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
103.71/103.90	          app_encode_app(int, int, bit0, X58)), X59)
103.71/103.90	       = app_encode_app(int, int, bit0, 
103.71/103.90	           app_encode_app(int, int, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
103.71/103.90	               X58), X59)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_57])).
103.71/103.90	tff(zf_stmt_56, axiom,
103.71/103.90	  (![W:int]:
103.71/103.90	     (app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    times_times(int),pls),
103.71/103.90	                     W) =
103.71/103.90	      pls))).
103.71/103.90	tff('15', plain,
103.71/103.90	    ![X57 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
103.71/103.90	        X57)
103.71/103.90	       = pls,
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_56])).
103.71/103.90	tff(zf_stmt_33, axiom,
103.71/103.90	  (![L1:int,K:int]:
103.71/103.90	     (app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    times_times(int),
103.71/103.90	                                    app_encode_app(int,int,bit1,K)),
103.71/103.90	                     L1) =
103.71/103.90	      app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    plus_plus(int),
103.71/103.90	                                    app_encode_app(int,int,bit0,
103.71/103.90	                                                   app_encode_app(int,int,
103.71/103.90	                                                                  app_encode_app(
103.71/103.90	                                                                  int,
103.71/103.90	                                                                  app_encode_fun(
103.71/103.90	                                                                  int,int),
103.71/103.90	                                                                  times_times(
103.71/103.90	                                                                  int),K),L1))),
103.71/103.90	                     L1)))).
103.71/103.90	tff('16', plain,
103.71/103.90	    ![X11 : int, X12 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
103.71/103.90	          app_encode_app(int, int, bit1, X11)), X12)
103.71/103.90	       = app_encode_app(int, int, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	             app_encode_app(int, int, bit0, 
103.71/103.90	               app_encode_app(int, int, 
103.71/103.90	                 app_encode_app(int, app_encode_fun(int, int), 
103.71/103.90	                   times_times(int), X11), X12))), X12),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_33])).
103.71/103.90	tff('17', plain,
103.71/103.90	    ![X0 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
103.71/103.90	          app_encode_app(int, int, bit1, pls)), X0)
103.71/103.90	       = app_encode_app(int, int, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	             app_encode_app(int, int, bit0, pls)), X0),
103.71/103.90	    inference('sup+', [status(thm)], ['15', '16'])).
103.71/103.90	tff(zf_stmt_49, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
103.71/103.90	tff('18', plain, app_encode_app(int, int, bit0, pls) = pls,
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_49])).
103.71/103.90	tff('19', plain,
103.71/103.90	    ![X0 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
103.71/103.90	          one_one(int)), X0)
103.71/103.90	       = X0,
103.71/103.90	    inference('demod', [status(thm)], ['17', '8', '18', '1'])).
103.71/103.90	tff(zf_stmt_35, axiom,
103.71/103.90	  (![L1:int,K:int]:
103.71/103.90	     (app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    plus_plus(int),
103.71/103.90	                                    app_encode_app(int,int,bit0,K)),
103.71/103.90	                     app_encode_app(int,int,bit1,L1)) =
103.71/103.90	      app_encode_app(int,int,bit1,
103.71/103.90	                     app_encode_app(int,int,
103.71/103.90	                                    app_encode_app(int,
103.71/103.90	                                                   app_encode_fun(int,int),
103.71/103.90	                                                   plus_plus(int),K),
103.71/103.90	                                    L1))))).
103.71/103.90	tff('20', plain,
103.71/103.90	    ![X14 : int, X15 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	          app_encode_app(int, int, bit0, X14)), 
103.71/103.90	        app_encode_app(int, int, bit1, X15))
103.71/103.90	       = app_encode_app(int, int, bit1, 
103.71/103.90	           app_encode_app(int, int, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	               X14), X15)),
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_35])).
103.71/103.90	tff('21', plain,
103.71/103.90	    ![X0 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	          app_encode_app(int, int, bit0, X0)), one_one(int))
103.71/103.90	       = app_encode_app(int, int, bit1, 
103.71/103.90	           app_encode_app(int, int, 
103.71/103.90	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	               X0), pls)),
103.71/103.90	    inference('sup+', [status(thm)], ['8', '20'])).
103.71/103.90	tff(zf_stmt_93, axiom,
103.71/103.90	  (![K:int]:
103.71/103.90	     (app_encode_app(int,int,
103.71/103.90	                     app_encode_app(int,app_encode_fun(int,int),
103.71/103.90	                                    plus_plus(int),K),
103.71/103.90	                     pls) =
103.71/103.90	      K))).
103.71/103.90	tff('22', plain,
103.71/103.90	    ![X163 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X163), 
103.71/103.90	        pls)
103.71/103.90	       = X163,
103.71/103.90	    inference('cnf', [status(esa)], [zf_stmt_93])).
103.71/103.90	tff('23', plain,
103.71/103.90	    ![X0 : int]:
103.71/103.90	      app_encode_app(int, int, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
103.71/103.90	          app_encode_app(int, int, bit0, X0)), one_one(int))
103.71/103.90	       = app_encode_app(int, int, bit1, X0),
103.71/103.90	    inference('demod', [status(thm)], ['21', '22'])).
103.71/103.90	tff('24', plain,
103.71/103.90	    ~ app_encode_app(int, $o, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	          app_encode_app(int, int, bit0, one_one(int))), 
103.71/103.90	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
103.71/103.90	    inference('demod', [status(thm)],
103.71/103.90	              ['13', '8', '7', '8', '7', '14', '14', '19', '23'])).
103.71/103.90	tff('25', plain,
103.71/103.90	    (~ $true
103.71/103.90	     | ~ app_encode_app(int, $o, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
103.71/103.90	             one_one(int)), app_encode_app(int, int, bit0, m))),
103.71/103.90	    inference('sup-', [status(thm)], ['12', '24'])).
103.71/103.90	tff('26', plain,
103.71/103.90	    ~ app_encode_app(int, $o, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
103.71/103.90	          one_one(int)), app_encode_app(int, int, bit0, m)),
103.71/103.90	    inference('simplify', [status(thm)], ['25'])).
103.71/103.90	tff('27', plain,
103.71/103.90	    (~ $true
103.71/103.90	     | ~ app_encode_app(int, $o, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	             one_one(int)), app_encode_app(int, int, bit0, m))),
103.71/103.90	    inference('sup-', [status(thm)], ['11', '26'])).
103.71/103.90	tff('28', plain,
103.71/103.90	    ~ app_encode_app(int, $o, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
103.71/103.90	          one_one(int)), app_encode_app(int, int, bit0, m)),
103.71/103.90	    inference('simplify', [status(thm)], ['27'])).
103.71/103.90	tff('29', plain,
103.71/103.90	    (~ $true
103.71/103.90	     | ~ app_encode_app(int, $o, 
103.71/103.90	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
103.71/103.90	           m)),
103.71/103.90	    inference('sup-', [status(thm)], ['10', '28'])).
103.71/103.90	tff('30', plain,
103.71/103.90	    ~ app_encode_app(int, $o, 
103.71/103.90	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), m),
103.71/103.90	    inference('simplify', [status(thm)], ['29'])).
103.71/103.90	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['5', '30'])).
103.71/103.90	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
103.71/103.90	
103.71/103.90	% SZS output end Refutation
103.71/103.90	EOF
