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   : n077.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 10:41:24 CST 2018
2.14/2.34	% done 677 iterations in 2.146s
2.14/2.34	% SZS status Theorem for 'stdin'
2.14/2.34	% SZS output start Refutation
2.14/2.34	tff(zf_stmt_88, axiom,
2.14/2.34	  (app_encode_app(int,int,
2.14/2.34	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.14/2.34	                                 app_encode_app(nat,int,
2.14/2.34	                                                app_encode_app(int,
2.14/2.34	                                                               app_encode_fun(
2.14/2.34	                                                               nat,int),
2.14/2.34	                                                               power_power(
2.14/2.34	                                                               int),v),
2.14/2.34	                                                app_encode_app(int,nat,
2.14/2.34	                                                               number_number_of(
2.14/2.34	                                                               nat),
2.14/2.34	                                                               app_encode_app(
2.14/2.34	                                                               int,int,bit0,
2.14/2.34	                                                               app_encode_app(
2.14/2.34	                                                               int,int,bit1,
2.14/2.35	                                                               pls))))),
2.14/2.35	                  app_encode_app(nat,int,
2.14/2.35	                                 app_encode_app(int,app_encode_fun(nat,int),
2.14/2.35	                                                power_power(int),w),
2.14/2.35	                                 app_encode_app(int,nat,
2.14/2.35	                                                number_number_of(nat),
2.14/2.35	                                                app_encode_app(int,int,bit0,
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,int,bit1,
2.14/2.35	                                                               pls))))) =
2.14/2.35	   zero_zero(int))).
2.14/2.35	tff('0', plain,
2.14/2.35	    app_encode_app(int, int, 
2.14/2.35	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.14/2.35	        app_encode_app(nat, int, 
2.14/2.35	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.14/2.35	          app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	            app_encode_app(int, int, bit0, 
2.14/2.35	              app_encode_app(int, int, bit1, pls))))), 
2.14/2.35	      app_encode_app(nat, int, 
2.14/2.35	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.14/2.35	        app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.14/2.35	     = zero_zero(int),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_88])).
2.14/2.35	tff(zf_stmt_75, axiom, (pls = zero_zero(int))).
2.14/2.35	tff('1', plain, pls = zero_zero(int),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_75])).
2.14/2.35	tff('2', plain,
2.14/2.35	    app_encode_app(int, int, 
2.14/2.35	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.14/2.35	        app_encode_app(nat, int, 
2.14/2.35	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.14/2.35	          app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	            app_encode_app(int, int, bit0, 
2.14/2.35	              app_encode_app(int, int, bit1, zero_zero(int)))))), 
2.14/2.35	      app_encode_app(nat, int, 
2.14/2.35	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.14/2.35	        app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	          app_encode_app(int, int, bit0, 
2.14/2.35	            app_encode_app(int, int, bit1, zero_zero(int))))))
2.14/2.35	     = zero_zero(int),
2.14/2.35	    inference('demod', [status(thm)], ['0', '1', '1'])).
2.14/2.35	tff(zf_stmt_100, axiom,
2.14/2.35	  ((v != zero_zero(int)) =>
2.14/2.35	   app_encode_app(int,$o,
2.14/2.35	                  app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
2.14/2.35	                                 zero_zero(int)),
2.14/2.35	                  app_encode_app(int,int,
2.14/2.35	                                 app_encode_app(int,app_encode_fun(int,int),
2.14/2.35	                                                plus_plus(int),
2.14/2.35	                                                app_encode_app(nat,int,
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,
2.14/2.35	                                                               app_encode_fun(
2.14/2.35	                                                               nat,int),
2.14/2.35	                                                               power_power(
2.14/2.35	                                                               int),v),
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,nat,
2.14/2.35	                                                               number_number_of(
2.14/2.35	                                                               nat),
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,int,bit0,
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,int,bit1,
2.14/2.35	                                                               pls))))),
2.14/2.35	                                 app_encode_app(nat,int,
2.14/2.35	                                                app_encode_app(int,
2.14/2.35	                                                               app_encode_fun(
2.14/2.35	                                                               nat,int),
2.14/2.35	                                                               power_power(
2.14/2.35	                                                               int),w),
2.14/2.35	                                                app_encode_app(int,nat,
2.14/2.35	                                                               number_number_of(
2.14/2.35	                                                               nat),
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,int,bit0,
2.14/2.35	                                                               app_encode_app(
2.14/2.35	                                                               int,int,bit1,
2.14/2.35	                                                               pls)))))))).
2.14/2.35	tff('3', plain,
2.14/2.35	    (app_encode_app(int, $o, 
2.14/2.35	       app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.14/2.35	         zero_zero(int)), 
2.14/2.35	       app_encode_app(int, int, 
2.14/2.35	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.14/2.35	           app_encode_app(nat, int, 
2.14/2.35	             app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.14/2.35	               v), 
2.14/2.35	             app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	               app_encode_app(int, int, bit0, 
2.14/2.35	                 app_encode_app(int, int, bit1, pls))))), 
2.14/2.35	         app_encode_app(nat, int, 
2.14/2.35	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.14/2.35	           app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	             app_encode_app(int, int, bit0, 
2.14/2.35	               app_encode_app(int, int, bit1, pls))))))
2.14/2.35	     | v = zero_zero(int)),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_100])).
2.14/2.35	tff('4', plain,
2.14/2.35	    (app_encode_app(int, $o, 
2.14/2.35	       app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.14/2.35	         zero_zero(int)), zero_zero(int))
2.14/2.35	     | v = zero_zero(int)),
2.14/2.35	    inference('demod', [status(thm)], ['3', '1', '1', '2'])).
2.14/2.35	tff(zf_stmt_65, axiom,
2.14/2.35	  (~
2.14/2.35	    app_encode_app(int,$o,
2.14/2.35	                   app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
2.14/2.35	                                  pls),
2.14/2.35	                   pls))).
2.14/2.35	tff('5', plain,
2.14/2.35	    ~ app_encode_app(int, $o, 
2.14/2.35	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
2.14/2.35	        pls),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_65])).
2.14/2.35	tff('6', plain,
2.14/2.35	    ~ app_encode_app(int, $o, 
2.14/2.35	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.14/2.35	          zero_zero(int)), zero_zero(int)),
2.14/2.35	    inference('demod', [status(thm)], ['5', '1', '1'])).
2.14/2.35	tff('7', plain, v = zero_zero(int),
2.14/2.35	    inference('clc', [status(thm)], ['4', '6'])).
2.14/2.35	tff(zf_stmt_144, axiom, (semiring_1(int))).
2.14/2.35	tff('8', plain, semiring_1(int),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_144])).
2.14/2.35	tff(zf_stmt_40, axiom,
2.14/2.35	  (![A:$tType]:
2.14/2.35	     (semiring_1(A) =>
2.14/2.35	      (app_encode_app(nat,A,
2.14/2.35	                      app_encode_app(A,app_encode_fun(nat,A),power_power(A),
2.14/2.35	                                     zero_zero(A)),
2.14/2.35	                      app_encode_app(int,nat,number_number_of(nat),
2.14/2.35	                                     app_encode_app(int,int,bit0,
2.14/2.35	                                                    app_encode_app(int,int,
2.14/2.35	                                                                   bit1,pls)))) =
2.14/2.35	       zero_zero(A))))).
2.14/2.35	tff('9', plain,
2.14/2.35	    ![X3 : $tType]:
2.14/2.35	      (app_encode_app(nat, X3, 
2.14/2.35	         app_encode_app(X3, app_encode_fun(nat, X3), power_power(X3), 
2.14/2.35	           zero_zero(X3)), 
2.14/2.35	         app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	           app_encode_app(int, int, bit0, 
2.14/2.35	             app_encode_app(int, int, bit1, pls))))
2.14/2.35	        = zero_zero(X3)
2.14/2.35	       | ~ semiring_1(X3)),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_40])).
2.14/2.35	tff('10', plain,
2.14/2.35	    (~ $true
2.14/2.35	     | app_encode_app(nat, int, 
2.14/2.35	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.14/2.35	           zero_zero(int)), 
2.14/2.35	         app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	           app_encode_app(int, int, bit0, 
2.14/2.35	             app_encode_app(int, int, bit1, pls))))
2.14/2.35	        = zero_zero(int)),
2.14/2.35	    inference('sup-', [status(thm)], ['8', '9'])).
2.14/2.35	tff('11', plain,
2.14/2.35	    app_encode_app(nat, int, 
2.14/2.35	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.14/2.35	        zero_zero(int)), 
2.14/2.35	      app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
2.14/2.35	     = zero_zero(int),
2.14/2.35	    inference('simplify', [status(thm)], ['10'])).
2.14/2.35	tff('12', plain,
2.14/2.35	    app_encode_app(nat, int, 
2.14/2.35	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.14/2.35	        zero_zero(int)), 
2.14/2.35	      app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	        app_encode_app(int, int, bit0, 
2.14/2.35	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.14/2.35	     = zero_zero(int),
2.14/2.35	    inference('demod', [status(thm)], ['11', '1'])).
2.14/2.35	tff(zf_stmt_111, axiom,
2.14/2.35	  (![K1:int]:
2.14/2.35	     (app_encode_app(int,int,
2.14/2.35	                     app_encode_app(int,app_encode_fun(int,int),
2.14/2.35	                                    plus_plus(int),pls),
2.14/2.35	                     K1) =
2.14/2.35	      K1))).
2.14/2.35	tff('13', plain,
2.14/2.35	    ![X146 : int]:
2.14/2.35	      app_encode_app(int, int, 
2.14/2.35	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
2.14/2.35	        X146)
2.14/2.35	       = X146,
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_111])).
2.14/2.35	tff('14', plain,
2.14/2.35	    ![X146 : int]:
2.14/2.35	      app_encode_app(int, int, 
2.14/2.35	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.14/2.35	          zero_zero(int)), X146)
2.14/2.35	       = X146,
2.14/2.35	    inference('demod', [status(thm)], ['13', '1'])).
2.14/2.35	tff('15', plain,
2.14/2.35	    app_encode_app(nat, int, 
2.14/2.35	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.14/2.35	      app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	        app_encode_app(int, int, bit0, 
2.14/2.35	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.14/2.35	     = zero_zero(int),
2.14/2.35	    inference('demod', [status(thm)], ['2', '7', '12', '14'])).
2.14/2.35	tff(zf_stmt_41, axiom,
2.14/2.35	  (![A:$tType]:
2.14/2.35	     (ring_11004092258visors(A) =>
2.14/2.35	      (![A1:A]:
2.14/2.35	         ((app_encode_app(nat,A,
2.14/2.35	                          app_encode_app(A,app_encode_fun(nat,A),
2.14/2.35	                                         power_power(A),A1),
2.14/2.35	                          app_encode_app(int,nat,number_number_of(nat),
2.14/2.35	                                         app_encode_app(int,int,bit0,
2.14/2.35	                                                        app_encode_app(
2.14/2.35	                                                        int,int,bit1,pls)))) =
2.14/2.35	           zero_zero(A)) <=>
2.14/2.35	          (A1 = zero_zero(A))))))).
2.14/2.35	tff('16', plain,
2.14/2.35	    ![X4 : $tType, X6 : X4]:
2.14/2.35	      (app_encode_app(nat, X4, 
2.14/2.35	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), X6), 
2.14/2.35	         app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	           app_encode_app(int, int, bit0, 
2.14/2.35	             app_encode_app(int, int, bit1, pls))))
2.14/2.35	        != zero_zero(X4)
2.14/2.35	       | X6 = zero_zero(X4)
2.14/2.35	       | ~ ring_11004092258visors(X4)),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_41])).
2.14/2.35	tff('17', plain,
2.14/2.35	    ![X4 : $tType, X6 : X4]:
2.14/2.35	      (app_encode_app(nat, X4, 
2.14/2.35	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), X6), 
2.14/2.35	         app_encode_app(int, nat, number_number_of(nat), 
2.14/2.35	           app_encode_app(int, int, bit0, 
2.14/2.35	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.14/2.35	        != zero_zero(X4)
2.14/2.35	       | X6 = zero_zero(X4)
2.14/2.35	       | ~ ring_11004092258visors(X4)),
2.14/2.35	    inference('demod', [status(thm)], ['16', '1'])).
2.14/2.35	tff('18', plain,
2.14/2.35	    (zero_zero(int) != zero_zero(int)
2.14/2.35	     | ~ ring_11004092258visors(int)
2.14/2.35	     | w = zero_zero(int)),
2.14/2.35	    inference('sup-', [status(thm)], ['15', '17'])).
2.14/2.35	tff(zf_stmt_137, axiom, (ring_11004092258visors(int))).
2.14/2.35	tff('19', plain, ring_11004092258visors(int),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_137])).
2.14/2.35	tff('20', plain,
2.14/2.35	    (zero_zero(int) != zero_zero(int) | ~ $true | w = zero_zero(int)),
2.14/2.35	    inference('demod', [status(thm)], ['18', '19'])).
2.14/2.35	tff('21', plain, w = zero_zero(int),
2.14/2.35	    inference('simplify', [status(thm)], ['20'])).
2.14/2.35	tff(zf_stmt_38, axiom, (w != zero_zero(int))).
2.14/2.35	tff('22', plain, w != zero_zero(int),
2.14/2.35	    inference('cnf', [status(esa)], [zf_stmt_38])).
2.14/2.35	tff('23', plain, $false,
2.14/2.35	    inference('simplify_reflect-', [status(thm)], ['21', '22'])).
2.14/2.35	
2.14/2.35	% SZS output end Refutation
2.14/2.35	EOF
