0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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   : n101.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
2.19/2.37	% done 683 iterations in 2.174s
2.19/2.37	% SZS status Theorem for 'stdin'
2.19/2.37	% SZS output start Refutation
2.19/2.39	tff(zf_stmt_89, axiom,
2.19/2.39	  (app_encode_app(int,int,
2.19/2.39	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.19/2.39	                                 app_encode_app(nat,int,
2.19/2.39	                                                app_encode_app(int,
2.19/2.39	                                                               app_encode_fun(
2.19/2.39	                                                               nat,int),
2.19/2.39	                                                               power_power(
2.19/2.39	                                                               int),v),
2.19/2.39	                                                app_encode_app(int,nat,
2.19/2.39	                                                               number_number_of(
2.19/2.39	                                                               nat),
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit0,
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit1,
2.19/2.39	                                                               pls))))),
2.19/2.39	                  app_encode_app(nat,int,
2.19/2.39	                                 app_encode_app(int,app_encode_fun(nat,int),
2.19/2.39	                                                power_power(int),w),
2.19/2.39	                                 app_encode_app(int,nat,
2.19/2.39	                                                number_number_of(nat),
2.19/2.39	                                                app_encode_app(int,int,bit0,
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit1,
2.19/2.39	                                                               pls))))) =
2.19/2.39	   zero_zero(int))).
2.19/2.39	tff('0', plain,
2.19/2.39	    app_encode_app(int, int, 
2.19/2.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	        app_encode_app(nat, int, 
2.19/2.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.19/2.39	          app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	            app_encode_app(int, int, bit0, 
2.19/2.39	              app_encode_app(int, int, bit1, pls))))), 
2.19/2.39	      app_encode_app(nat, int, 
2.19/2.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.19/2.39	        app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.19/2.39	     = zero_zero(int),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_89])).
2.19/2.39	tff(zf_stmt_76, axiom, (pls = zero_zero(int))).
2.19/2.39	tff('1', plain, pls = zero_zero(int),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_76])).
2.19/2.39	tff('2', plain,
2.19/2.39	    app_encode_app(int, int, 
2.19/2.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	        app_encode_app(nat, int, 
2.19/2.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.19/2.39	          app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	            app_encode_app(int, int, bit0, 
2.19/2.39	              app_encode_app(int, int, bit1, zero_zero(int)))))), 
2.19/2.39	      app_encode_app(nat, int, 
2.19/2.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.19/2.39	        app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	          app_encode_app(int, int, bit0, 
2.19/2.39	            app_encode_app(int, int, bit1, zero_zero(int))))))
2.19/2.39	     = zero_zero(int),
2.19/2.39	    inference('demod', [status(thm)], ['0', '1', '1'])).
2.19/2.39	tff(zf_stmt_101, axiom,
2.19/2.39	  ((v != zero_zero(int)) =>
2.19/2.39	   app_encode_app(int,$o,
2.19/2.39	                  app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
2.19/2.39	                                 zero_zero(int)),
2.19/2.39	                  app_encode_app(int,int,
2.19/2.39	                                 app_encode_app(int,app_encode_fun(int,int),
2.19/2.39	                                                plus_plus(int),
2.19/2.39	                                                app_encode_app(nat,int,
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,
2.19/2.39	                                                               app_encode_fun(
2.19/2.39	                                                               nat,int),
2.19/2.39	                                                               power_power(
2.19/2.39	                                                               int),v),
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,nat,
2.19/2.39	                                                               number_number_of(
2.19/2.39	                                                               nat),
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit0,
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit1,
2.19/2.39	                                                               pls))))),
2.19/2.39	                                 app_encode_app(nat,int,
2.19/2.39	                                                app_encode_app(int,
2.19/2.39	                                                               app_encode_fun(
2.19/2.39	                                                               nat,int),
2.19/2.39	                                                               power_power(
2.19/2.39	                                                               int),w),
2.19/2.39	                                                app_encode_app(int,nat,
2.19/2.39	                                                               number_number_of(
2.19/2.39	                                                               nat),
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit0,
2.19/2.39	                                                               app_encode_app(
2.19/2.39	                                                               int,int,bit1,
2.19/2.39	                                                               pls)))))))).
2.19/2.39	tff('3', plain,
2.19/2.39	    (app_encode_app(int, $o, 
2.19/2.39	       app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.19/2.39	         zero_zero(int)), 
2.19/2.39	       app_encode_app(int, int, 
2.19/2.39	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	           app_encode_app(nat, int, 
2.19/2.39	             app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.19/2.39	               v), 
2.19/2.39	             app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	               app_encode_app(int, int, bit0, 
2.19/2.39	                 app_encode_app(int, int, bit1, pls))))), 
2.19/2.39	         app_encode_app(nat, int, 
2.19/2.39	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.19/2.39	           app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	             app_encode_app(int, int, bit0, 
2.19/2.39	               app_encode_app(int, int, bit1, pls))))))
2.19/2.39	     | v = zero_zero(int)),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_101])).
2.19/2.39	tff('4', plain,
2.19/2.39	    (app_encode_app(int, $o, 
2.19/2.39	       app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.19/2.39	         zero_zero(int)), zero_zero(int))
2.19/2.39	     | v = zero_zero(int)),
2.19/2.39	    inference('demod', [status(thm)], ['3', '1', '1', '2'])).
2.19/2.39	tff(zf_stmt_66, axiom,
2.19/2.39	  (~
2.19/2.39	    app_encode_app(int,$o,
2.19/2.39	                   app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
2.19/2.39	                                  pls),
2.19/2.39	                   pls))).
2.19/2.39	tff('5', plain,
2.19/2.39	    ~ app_encode_app(int, $o, 
2.19/2.39	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
2.19/2.39	        pls),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_66])).
2.19/2.39	tff('6', plain,
2.19/2.39	    ~ app_encode_app(int, $o, 
2.19/2.39	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
2.19/2.39	          zero_zero(int)), zero_zero(int)),
2.19/2.39	    inference('demod', [status(thm)], ['5', '1', '1'])).
2.19/2.39	tff('7', plain, v = zero_zero(int),
2.19/2.39	    inference('clc', [status(thm)], ['4', '6'])).
2.19/2.39	tff(zf_stmt_145, axiom, (semiring_1(int))).
2.19/2.39	tff('8', plain, semiring_1(int),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_145])).
2.19/2.39	tff(zf_stmt_41, axiom,
2.19/2.39	  (![A:$tType]:
2.19/2.39	     (semiring_1(A) =>
2.19/2.39	      (app_encode_app(nat,A,
2.19/2.39	                      app_encode_app(A,app_encode_fun(nat,A),power_power(A),
2.19/2.39	                                     zero_zero(A)),
2.19/2.39	                      app_encode_app(int,nat,number_number_of(nat),
2.19/2.39	                                     app_encode_app(int,int,bit0,
2.19/2.39	                                                    app_encode_app(int,int,
2.19/2.39	                                                                   bit1,pls)))) =
2.19/2.39	       zero_zero(A))))).
2.19/2.39	tff('9', plain,
2.19/2.39	    ![X7 : $tType]:
2.19/2.39	      (app_encode_app(nat, X7, 
2.19/2.39	         app_encode_app(X7, app_encode_fun(nat, X7), power_power(X7), 
2.19/2.39	           zero_zero(X7)), 
2.19/2.39	         app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	           app_encode_app(int, int, bit0, 
2.19/2.39	             app_encode_app(int, int, bit1, pls))))
2.19/2.39	        = zero_zero(X7)
2.19/2.39	       | ~ semiring_1(X7)),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_41])).
2.19/2.39	tff('10', plain,
2.19/2.39	    ![X7 : $tType]:
2.19/2.39	      (app_encode_app(nat, X7, 
2.19/2.39	         app_encode_app(X7, app_encode_fun(nat, X7), power_power(X7), 
2.19/2.39	           zero_zero(X7)), 
2.19/2.39	         app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	           app_encode_app(int, int, bit0, 
2.19/2.39	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.19/2.39	        = zero_zero(X7)
2.19/2.39	       | ~ semiring_1(X7)),
2.19/2.39	    inference('demod', [status(thm)], ['9', '1'])).
2.19/2.39	tff('11', plain,
2.19/2.39	    (~ $true
2.19/2.39	     | app_encode_app(nat, int, 
2.19/2.39	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.19/2.39	           zero_zero(int)), 
2.19/2.39	         app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	           app_encode_app(int, int, bit0, 
2.19/2.39	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.19/2.39	        = zero_zero(int)),
2.19/2.39	    inference('sup-', [status(thm)], ['8', '10'])).
2.19/2.39	tff('12', plain,
2.19/2.39	    app_encode_app(nat, int, 
2.19/2.39	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.19/2.39	        zero_zero(int)), 
2.19/2.39	      app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	        app_encode_app(int, int, bit0, 
2.19/2.39	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.19/2.39	     = zero_zero(int),
2.19/2.39	    inference('simplify', [status(thm)], ['11'])).
2.19/2.39	tff(zf_stmt_112, axiom,
2.19/2.39	  (![K1:int]:
2.19/2.39	     (app_encode_app(int,int,
2.19/2.39	                     app_encode_app(int,app_encode_fun(int,int),
2.19/2.39	                                    plus_plus(int),pls),
2.19/2.39	                     K1) =
2.19/2.39	      K1))).
2.19/2.39	tff('13', plain,
2.19/2.39	    ![X150 : int]:
2.19/2.39	      app_encode_app(int, int, 
2.19/2.39	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
2.19/2.39	        X150)
2.19/2.39	       = X150,
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_112])).
2.19/2.39	tff('14', plain,
2.19/2.39	    ![X150 : int]:
2.19/2.39	      app_encode_app(int, int, 
2.19/2.39	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	          zero_zero(int)), X150)
2.19/2.39	       = X150,
2.19/2.39	    inference('demod', [status(thm)], ['13', '1'])).
2.19/2.39	tff(zf_stmt_103, axiom,
2.19/2.39	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
2.19/2.39	tff('15', plain,
2.19/2.39	    ![X128 : int]:
2.19/2.39	      app_encode_app(int, int, number_number_of(int), X128) = X128,
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_103])).
2.19/2.39	tff(zf_stmt_2, axiom,
2.19/2.39	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
2.19/2.39	     ((![Z:Alpha]:
2.19/2.39	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
2.19/2.39	      (X = Y)))).
2.19/2.39	tff('16', plain,
2.19/2.39	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
2.19/2.39	      X3 : app_encode_fun(X0, X1)]:
2.19/2.39	      (X3 = X2
2.19/2.39	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
2.19/2.39	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.19/2.39	tff('17', plain,
2.19/2.39	    ![X0 : app_encode_fun(int, int)]:
2.19/2.39	      (app_encode_app(int, int, X0, 
2.19/2.39	         sk_Z(int, int, number_number_of(int), X0))
2.19/2.39	        != sk_Z(int, int, number_number_of(int), X0)
2.19/2.39	       | X0 = number_number_of(int)),
2.19/2.39	    inference('sup-', [status(thm)], ['15', '16'])).
2.19/2.39	tff('18', plain,
2.19/2.39	    (sk_Z(int, int, number_number_of(int), 
2.19/2.39	       app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	         zero_zero(int)))
2.19/2.39	      != sk_Z(int, int, number_number_of(int), 
2.19/2.39	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	             zero_zero(int)))
2.19/2.39	     | app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	         zero_zero(int))
2.19/2.39	        = number_number_of(int)),
2.19/2.39	    inference('sup-', [status(thm)], ['14', '17'])).
2.19/2.39	tff('19', plain,
2.19/2.39	    app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.19/2.39	      zero_zero(int))
2.19/2.39	     = number_number_of(int),
2.19/2.39	    inference('simplify', [status(thm)], ['18'])).
2.19/2.39	tff('20', plain,
2.19/2.39	    app_encode_app(nat, int, 
2.19/2.39	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.19/2.39	      app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	        app_encode_app(int, int, bit0, 
2.19/2.39	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.19/2.39	     = zero_zero(int),
2.19/2.39	    inference('demod', [status(thm)], ['2', '7', '12', '19', '15'])).
2.19/2.39	tff(zf_stmt_42, axiom,
2.19/2.39	  (![A:$tType]:
2.19/2.39	     (ring_11004092258visors(A) =>
2.19/2.39	      (![A1:A]:
2.19/2.39	         ((app_encode_app(nat,A,
2.19/2.39	                          app_encode_app(A,app_encode_fun(nat,A),
2.19/2.39	                                         power_power(A),A1),
2.19/2.39	                          app_encode_app(int,nat,number_number_of(nat),
2.19/2.39	                                         app_encode_app(int,int,bit0,
2.19/2.39	                                                        app_encode_app(
2.19/2.39	                                                        int,int,bit1,pls)))) =
2.19/2.39	           zero_zero(A)) <=>
2.19/2.39	          (A1 = zero_zero(A))))))).
2.19/2.39	tff('21', plain,
2.19/2.39	    ![X8 : $tType, X10 : X8]:
2.19/2.39	      (app_encode_app(nat, X8, 
2.19/2.39	         app_encode_app(X8, app_encode_fun(nat, X8), power_power(X8), X10), 
2.19/2.39	         app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	           app_encode_app(int, int, bit0, 
2.19/2.39	             app_encode_app(int, int, bit1, pls))))
2.19/2.39	        != zero_zero(X8)
2.19/2.39	       | X10 = zero_zero(X8)
2.19/2.39	       | ~ ring_11004092258visors(X8)),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_42])).
2.19/2.39	tff('22', plain,
2.19/2.39	    ![X8 : $tType, X10 : X8]:
2.19/2.39	      (app_encode_app(nat, X8, 
2.19/2.39	         app_encode_app(X8, app_encode_fun(nat, X8), power_power(X8), X10), 
2.19/2.39	         app_encode_app(int, nat, number_number_of(nat), 
2.19/2.39	           app_encode_app(int, int, bit0, 
2.19/2.39	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.19/2.39	        != zero_zero(X8)
2.19/2.39	       | X10 = zero_zero(X8)
2.19/2.39	       | ~ ring_11004092258visors(X8)),
2.19/2.39	    inference('demod', [status(thm)], ['21', '1'])).
2.19/2.39	tff('23', plain,
2.19/2.39	    (zero_zero(int) != zero_zero(int)
2.19/2.39	     | ~ ring_11004092258visors(int)
2.19/2.39	     | w = zero_zero(int)),
2.19/2.39	    inference('sup-', [status(thm)], ['20', '22'])).
2.19/2.39	tff(zf_stmt_138, axiom, (ring_11004092258visors(int))).
2.19/2.39	tff('24', plain, ring_11004092258visors(int),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_138])).
2.19/2.39	tff('25', plain,
2.19/2.39	    (zero_zero(int) != zero_zero(int) | ~ $true | w = zero_zero(int)),
2.19/2.39	    inference('demod', [status(thm)], ['23', '24'])).
2.19/2.39	tff('26', plain, w = zero_zero(int),
2.19/2.39	    inference('simplify', [status(thm)], ['25'])).
2.19/2.39	tff(zf_stmt_39, axiom, (w != zero_zero(int))).
2.19/2.39	tff('27', plain, w != zero_zero(int),
2.19/2.39	    inference('cnf', [status(esa)], [zf_stmt_39])).
2.19/2.39	tff('28', plain, $false,
2.19/2.39	    inference('simplify_reflect-', [status(thm)], ['26', '27'])).
2.19/2.39	
2.19/2.39	% SZS output end Refutation
2.19/2.39	EOF
