0.00/0.01	% File    : /export/starexec/sandbox2/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n131.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:42:23 CST 2018
8.94/9.19	% done 3065 iterations in 8.980s
8.94/9.19	% SZS status Theorem for 'stdin'
8.94/9.19	% SZS output start Refutation
8.94/9.19	tff(zf_stmt_43, axiom,
8.94/9.19	  (![K3:int]:
8.94/9.19	     (app_encode_app(int,$o,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,$o),
8.94/9.19	                                    ord_less_eq(int),
8.94/9.19	                                    app_encode_app(int,int,bit0,K3)),
8.94/9.19	                     pls) <=>
8.94/9.19	      app_encode_app(int,$o,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,$o),
8.94/9.19	                                    ord_less_eq(int),K3),
8.94/9.19	                     pls)))).
8.94/9.19	tff('0', plain,
8.94/9.19	    ![X21 : int]:
8.94/9.19	      (app_encode_app(int, $o, 
8.94/9.19	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	           app_encode_app(int, int, bit0, X21)), pls)
8.94/9.19	       | ~ app_encode_app(int, $o, 
8.94/9.19	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	               X21), pls)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_43])).
8.94/9.19	tff(zf_stmt_100, axiom,
8.94/9.19	  (one_one(int) =
8.94/9.19	   app_encode_app(int,int,number_number_of(int),
8.94/9.19	                  app_encode_app(int,int,bit1,pls)))).
8.94/9.19	tff('1', plain,
8.94/9.19	    one_one(int)
8.94/9.19	     = app_encode_app(int, int, number_number_of(int), 
8.94/9.19	         app_encode_app(int, int, bit1, pls)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_100])).
8.94/9.19	tff(zf_stmt_75, axiom,
8.94/9.19	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
8.94/9.19	tff('2', plain,
8.94/9.19	    ![X98 : int]: app_encode_app(int, int, number_number_of(int), X98) = X98,
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_75])).
8.94/9.19	tff('3', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
8.94/9.19	    inference('demod', [status(thm)], ['1', '2'])).
8.94/9.19	tff(zf_stmt_56, axiom,
8.94/9.19	  (![L:int,K3:int]:
8.94/9.19	     (app_encode_app(int,$o,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,$o),
8.94/9.19	                                    ord_less_eq(int),
8.94/9.19	                                    app_encode_app(int,int,bit1,K3)),
8.94/9.19	                     app_encode_app(int,int,bit1,L)) <=>
8.94/9.19	      app_encode_app(int,$o,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,$o),
8.94/9.19	                                    ord_less_eq(int),K3),
8.94/9.19	                     L)))).
8.94/9.19	tff('4', plain,
8.94/9.19	    ![X49 : int, X50 : int]:
8.94/9.19	      (app_encode_app(int, $o, 
8.94/9.19	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	           app_encode_app(int, int, bit1, X50)), 
8.94/9.19	         app_encode_app(int, int, bit1, X49))
8.94/9.19	       | ~ app_encode_app(int, $o, 
8.94/9.19	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	               X50), X49)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_56])).
8.94/9.19	tff('5', plain,
8.94/9.19	    ![X0 : int]:
8.94/9.19	      (app_encode_app(int, $o, 
8.94/9.19	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	           app_encode_app(int, int, bit1, X0)), one_one(int))
8.94/9.19	       | ~ app_encode_app(int, $o, 
8.94/9.19	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	               X0), pls)),
8.94/9.19	    inference('sup+', [status(thm)], ['3', '4'])).
8.94/9.19	tff(zf_stmt_146, conjecture,
8.94/9.19	  (app_encode_app(int,$o,
8.94/9.19	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
8.94/9.19	                                 app_encode_app(int,int,
8.94/9.19	                                                app_encode_app(int,
8.94/9.19	                                                               app_encode_fun(
8.94/9.19	                                                               int,int),
8.94/9.19	                                                               plus_plus(int),
8.94/9.19	                                                               app_encode_app(
8.94/9.19	                                                               int,int,
8.94/9.19	                                                               app_encode_app(
8.94/9.19	                                                               int,
8.94/9.19	                                                               app_encode_fun(
8.94/9.19	                                                               int,int),
8.94/9.19	                                                               times_times(
8.94/9.19	                                                               int),
8.94/9.19	                                                               app_encode_app(
8.94/9.19	                                                               int,int,
8.94/9.19	                                                               number_number_of(
8.94/9.19	                                                               int),
8.94/9.19	                                                               app_encode_app(
8.94/9.19	                                                               int,int,bit0,
8.94/9.19	                                                               app_encode_app(
8.94/9.19	                                                               int,int,bit0,
8.94/9.19	                                                               app_encode_app(
8.94/9.19	                                                               int,int,bit1,
8.94/9.19	                                                               pls))))),m)),
8.94/9.19	                                                one_one(int))),
8.94/9.19	                  one_one(int)))).
8.94/9.19	tff(zf_stmt_0, negated_conjecture,
8.94/9.19	  (~
8.94/9.19	    app_encode_app(int,$o,
8.94/9.19	                   app_encode_app(int,app_encode_fun(int,$o),
8.94/9.19	                                  ord_less_eq(int),
8.94/9.19	                                  app_encode_app(int,int,
8.94/9.19	                                                 app_encode_app(int,
8.94/9.19	                                                                app_encode_fun(
8.94/9.19	                                                                int,int),
8.94/9.19	                                                                plus_plus(
8.94/9.19	                                                                int),
8.94/9.19	                                                                app_encode_app(
8.94/9.19	                                                                int,int,
8.94/9.19	                                                                app_encode_app(
8.94/9.19	                                                                int,
8.94/9.19	                                                                app_encode_fun(
8.94/9.19	                                                                int,int),
8.94/9.19	                                                                times_times(
8.94/9.19	                                                                int),
8.94/9.19	                                                                app_encode_app(
8.94/9.19	                                                                int,int,
8.94/9.19	                                                                number_number_of(
8.94/9.19	                                                                int),
8.94/9.19	                                                                app_encode_app(
8.94/9.19	                                                                int,int,bit0,
8.94/9.19	                                                                app_encode_app(
8.94/9.19	                                                                int,int,bit0,
8.94/9.19	                                                                app_encode_app(
8.94/9.19	                                                                int,int,bit1,
8.94/9.19	                                                                pls))))),m)),
8.94/9.19	                                                 one_one(int))),
8.94/9.19	                   one_one(int)))).
8.94/9.19	tff('6', plain,
8.94/9.19	    ~ app_encode_app(int, $o, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	          app_encode_app(int, int, 
8.94/9.19	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	              app_encode_app(int, int, 
8.94/9.19	                app_encode_app(int, app_encode_fun(int, int), 
8.94/9.19	                  times_times(int), 
8.94/9.19	                  app_encode_app(int, int, number_number_of(int), 
8.94/9.19	                    app_encode_app(int, int, bit0, 
8.94/9.19	                      app_encode_app(int, int, bit0, 
8.94/9.19	                        app_encode_app(int, int, bit1, pls))))), m)), 
8.94/9.19	            one_one(int))), one_one(int)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.94/9.19	tff(zf_stmt_60, axiom,
8.94/9.19	  (![L1:int,K:int]:
8.94/9.19	     (app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    times_times(int),
8.94/9.19	                                    app_encode_app(int,int,bit0,K)),
8.94/9.19	                     L1) =
8.94/9.19	      app_encode_app(int,int,bit0,
8.94/9.19	                     app_encode_app(int,int,
8.94/9.19	                                    app_encode_app(int,
8.94/9.19	                                                   app_encode_fun(int,int),
8.94/9.19	                                                   times_times(int),K),
8.94/9.19	                                    L1))))).
8.94/9.19	tff('7', plain,
8.94/9.19	    ![X55 : int, X56 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
8.94/9.19	          app_encode_app(int, int, bit0, X55)), X56)
8.94/9.19	       = app_encode_app(int, int, bit0, 
8.94/9.19	           app_encode_app(int, int, 
8.94/9.19	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
8.94/9.19	               X55), X56)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_60])).
8.94/9.19	tff(zf_stmt_59, axiom,
8.94/9.19	  (![W:int]:
8.94/9.19	     (app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    times_times(int),pls),
8.94/9.19	                     W) =
8.94/9.19	      pls))).
8.94/9.19	tff('8', plain,
8.94/9.19	    ![X54 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
8.94/9.19	        X54)
8.94/9.19	       = pls,
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_59])).
8.94/9.19	tff(zf_stmt_38, axiom,
8.94/9.19	  (![L1:int,K:int]:
8.94/9.19	     (app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    times_times(int),
8.94/9.19	                                    app_encode_app(int,int,bit1,K)),
8.94/9.19	                     L1) =
8.94/9.19	      app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    plus_plus(int),
8.94/9.19	                                    app_encode_app(int,int,bit0,
8.94/9.19	                                                   app_encode_app(int,int,
8.94/9.19	                                                                  app_encode_app(
8.94/9.19	                                                                  int,
8.94/9.19	                                                                  app_encode_fun(
8.94/9.19	                                                                  int,int),
8.94/9.19	                                                                  times_times(
8.94/9.19	                                                                  int),K),L1))),
8.94/9.19	                     L1)))).
8.94/9.19	tff('9', plain,
8.94/9.19	    ![X11 : int, X12 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
8.94/9.19	          app_encode_app(int, int, bit1, X11)), X12)
8.94/9.19	       = app_encode_app(int, int, 
8.94/9.19	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	             app_encode_app(int, int, bit0, 
8.94/9.19	               app_encode_app(int, int, 
8.94/9.19	                 app_encode_app(int, app_encode_fun(int, int), 
8.94/9.19	                   times_times(int), X11), X12))), X12),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_38])).
8.94/9.19	tff('10', plain,
8.94/9.19	    ![X0 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
8.94/9.19	          app_encode_app(int, int, bit1, pls)), X0)
8.94/9.19	       = app_encode_app(int, int, 
8.94/9.19	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	             app_encode_app(int, int, bit0, pls)), X0),
8.94/9.19	    inference('sup+', [status(thm)], ['8', '9'])).
8.94/9.19	tff(zf_stmt_55, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
8.94/9.19	tff('11', plain, app_encode_app(int, int, bit0, pls) = pls,
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_55])).
8.94/9.19	tff(zf_stmt_83, axiom,
8.94/9.19	  (![K:int]:
8.94/9.19	     (app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    plus_plus(int),pls),
8.94/9.19	                     K) =
8.94/9.19	      K))).
8.94/9.19	tff('12', plain,
8.94/9.19	    ![X110 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
8.94/9.19	        X110)
8.94/9.19	       = X110,
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_83])).
8.94/9.19	tff('13', plain,
8.94/9.19	    ![X0 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
8.94/9.19	          one_one(int)), X0)
8.94/9.19	       = X0,
8.94/9.19	    inference('demod', [status(thm)], ['10', '3', '11', '12'])).
8.94/9.19	tff(zf_stmt_40, axiom,
8.94/9.19	  (![L1:int,K:int]:
8.94/9.19	     (app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    plus_plus(int),
8.94/9.19	                                    app_encode_app(int,int,bit0,K)),
8.94/9.19	                     app_encode_app(int,int,bit1,L1)) =
8.94/9.19	      app_encode_app(int,int,bit1,
8.94/9.19	                     app_encode_app(int,int,
8.94/9.19	                                    app_encode_app(int,
8.94/9.19	                                                   app_encode_fun(int,int),
8.94/9.19	                                                   plus_plus(int),K),
8.94/9.19	                                    L1))))).
8.94/9.19	tff('14', plain,
8.94/9.19	    ![X14 : int, X15 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	          app_encode_app(int, int, bit0, X14)), 
8.94/9.19	        app_encode_app(int, int, bit1, X15))
8.94/9.19	       = app_encode_app(int, int, bit1, 
8.94/9.19	           app_encode_app(int, int, 
8.94/9.19	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	               X14), X15)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_40])).
8.94/9.19	tff('15', plain,
8.94/9.19	    ![X0 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	          app_encode_app(int, int, bit0, X0)), one_one(int))
8.94/9.19	       = app_encode_app(int, int, bit1, 
8.94/9.19	           app_encode_app(int, int, 
8.94/9.19	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	               X0), pls)),
8.94/9.19	    inference('sup+', [status(thm)], ['3', '14'])).
8.94/9.19	tff(zf_stmt_82, axiom,
8.94/9.19	  (![K:int]:
8.94/9.19	     (app_encode_app(int,int,
8.94/9.19	                     app_encode_app(int,app_encode_fun(int,int),
8.94/9.19	                                    plus_plus(int),K),
8.94/9.19	                     pls) =
8.94/9.19	      K))).
8.94/9.19	tff('16', plain,
8.94/9.19	    ![X109 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X109), 
8.94/9.19	        pls)
8.94/9.19	       = X109,
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_82])).
8.94/9.19	tff('17', plain,
8.94/9.19	    ![X0 : int]:
8.94/9.19	      app_encode_app(int, int, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
8.94/9.19	          app_encode_app(int, int, bit0, X0)), one_one(int))
8.94/9.19	       = app_encode_app(int, int, bit1, X0),
8.94/9.19	    inference('demod', [status(thm)], ['15', '16'])).
8.94/9.19	tff('18', plain,
8.94/9.19	    ~ app_encode_app(int, $o, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
8.94/9.19	        one_one(int)),
8.94/9.19	    inference('demod', [status(thm)], ['6', '3', '2', '7', '7', '13', '17'])).
8.94/9.19	tff('19', plain,
8.94/9.19	    (~ $true
8.94/9.19	     | ~ app_encode_app(int, $o, 
8.94/9.19	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	             app_encode_app(int, int, bit0, m)), pls)),
8.94/9.19	    inference('sup-', [status(thm)], ['5', '18'])).
8.94/9.19	tff('20', plain,
8.94/9.19	    ~ app_encode_app(int, $o, 
8.94/9.19	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
8.94/9.19	          app_encode_app(int, int, bit0, m)), pls),
8.94/9.19	    inference('simplify', [status(thm)], ['19'])).
8.94/9.19	tff('21', plain,
8.94/9.19	    (~ $true
8.94/9.19	     | ~ app_encode_app(int, $o, 
8.94/9.19	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), m), 
8.94/9.19	           pls)),
8.94/9.19	    inference('sup-', [status(thm)], ['0', '20'])).
8.94/9.19	tff(zf_stmt_30, axiom,
8.94/9.19	  (app_encode_app(int,$o,
8.94/9.19	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
8.94/9.19	                                 m),
8.94/9.19	                  zero_zero(int)))).
8.94/9.19	tff('22', plain,
8.94/9.19	    app_encode_app(int, $o, 
8.94/9.19	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), m), 
8.94/9.19	      zero_zero(int)),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_30])).
8.94/9.19	tff(zf_stmt_73, axiom, (pls = zero_zero(int))).
8.94/9.19	tff('23', plain, pls = zero_zero(int),
8.94/9.19	    inference('cnf', [status(esa)], [zf_stmt_73])).
8.94/9.19	tff('24', plain,
8.94/9.19	    app_encode_app(int, $o, 
8.94/9.19	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), m), pls),
8.94/9.19	    inference('demod', [status(thm)], ['22', '23'])).
8.94/9.19	tff('25', plain, (~ $true | ~ $true),
8.94/9.19	    inference('demod', [status(thm)], ['21', '24'])).
8.94/9.19	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
8.94/9.19	
8.94/9.19	% SZS output end Refutation
8.94/9.20	EOF
