0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
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   : n050.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 13:34:08 CST 2018
2.68/2.91	% done 889 iterations in 2.702s
2.68/2.91	% SZS status Theorem for 'stdin'
2.68/2.91	% SZS output start Refutation
2.68/2.91	tff(zf_stmt_89, axiom,
2.68/2.91	  (app_encode_app(int,int,
2.68/2.91	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.68/2.91	                                 app_encode_app(nat,int,
2.68/2.91	                                                app_encode_app(int,
2.68/2.91	                                                               app_encode_fun(
2.68/2.91	                                                               nat,int),
2.68/2.91	                                                               power_power(
2.68/2.91	                                                               int),v),
2.68/2.91	                                                app_encode_app(int,nat,
2.68/2.91	                                                               number_number_of(
2.68/2.91	                                                               nat),
2.68/2.91	                                                               app_encode_app(
2.68/2.91	                                                               int,int,bit0,
2.68/2.91	                                                               app_encode_app(
2.68/2.91	                                                               int,int,bit1,
2.68/2.91	                                                               pls))))),
2.68/2.91	                  app_encode_app(nat,int,
2.68/2.91	                                 app_encode_app(int,app_encode_fun(nat,int),
2.68/2.91	                                                power_power(int),w),
2.68/2.91	                                 app_encode_app(int,nat,
2.68/2.91	                                                number_number_of(nat),
2.68/2.91	                                                app_encode_app(int,int,bit0,
2.68/2.91	                                                               app_encode_app(
2.68/2.91	                                                               int,int,bit1,
2.68/2.91	                                                               pls))))) =
2.68/2.91	   zero_zero(int))).
2.68/2.91	tff('0', plain,
2.68/2.91	    app_encode_app(int, int, 
2.68/2.91	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.68/2.91	        app_encode_app(nat, int, 
2.68/2.91	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.68/2.91	          app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	            app_encode_app(int, int, bit0, 
2.68/2.91	              app_encode_app(int, int, bit1, pls))))), 
2.68/2.91	      app_encode_app(nat, int, 
2.68/2.91	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.68/2.91	        app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.68/2.91	     = zero_zero(int),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_89])).
2.68/2.91	tff(zf_stmt_76, axiom, (pls = zero_zero(int))).
2.68/2.91	tff('1', plain, pls = zero_zero(int),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_76])).
2.68/2.91	tff('2', plain,
2.68/2.91	    app_encode_app(int, int, 
2.68/2.91	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.68/2.91	        app_encode_app(nat, int, 
2.68/2.91	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.68/2.91	          app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	            app_encode_app(int, int, bit0, 
2.68/2.91	              app_encode_app(int, int, bit1, zero_zero(int)))))), 
2.68/2.91	      app_encode_app(nat, int, 
2.68/2.91	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.68/2.91	        app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	          app_encode_app(int, int, bit0, 
2.68/2.91	            app_encode_app(int, int, bit1, zero_zero(int))))))
2.68/2.91	     = zero_zero(int),
2.68/2.91	    inference('demod', [status(thm)], ['0', '1', '1'])).
2.68/2.91	tff(zf_stmt_122, axiom,
2.68/2.91	  (![A:$tType]:
2.68/2.91	     (linordered_idom(A) =>
2.68/2.91	      (![Ya:A,Xa:A]:
2.68/2.91	         ((app_encode_app(A,A,
2.68/2.91	                          app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
2.68/2.91	                                         app_encode_app(nat,A,
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        A,
2.68/2.91	                                                        app_encode_fun(nat,A),
2.68/2.91	                                                        power_power(A),Xa),
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        int,nat,
2.68/2.91	                                                        number_number_of(nat),
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        int,int,bit0,
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        int,int,bit1,pls))))),
2.68/2.91	                          app_encode_app(nat,A,
2.68/2.91	                                         app_encode_app(A,
2.68/2.91	                                                        app_encode_fun(nat,A),
2.68/2.91	                                                        power_power(A),Ya),
2.68/2.91	                                         app_encode_app(int,nat,
2.68/2.91	                                                        number_number_of(nat),
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        int,int,bit0,
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        int,int,bit1,pls))))) =
2.68/2.91	           zero_zero(A)) <=>
2.68/2.91	          ((Xa = zero_zero(A)) & (Ya = zero_zero(A)))))))).
2.68/2.91	tff('3', plain,
2.68/2.91	    ![X169 : $tType, X171 : X169, X172 : X169]:
2.68/2.91	      (app_encode_app(X169, X169, 
2.68/2.91	         app_encode_app(X169, app_encode_fun(X169, X169), plus_plus(X169), 
2.68/2.91	           app_encode_app(nat, X169, 
2.68/2.91	             app_encode_app(X169, app_encode_fun(nat, X169), 
2.68/2.91	               power_power(X169), X172), 
2.68/2.91	             app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	               app_encode_app(int, int, bit0, 
2.68/2.91	                 app_encode_app(int, int, bit1, pls))))), 
2.68/2.91	         app_encode_app(nat, X169, 
2.68/2.91	           app_encode_app(X169, app_encode_fun(nat, X169), 
2.68/2.91	             power_power(X169), X171), 
2.68/2.91	           app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	             app_encode_app(int, int, bit0, 
2.68/2.91	               app_encode_app(int, int, bit1, pls)))))
2.68/2.91	        != zero_zero(X169)
2.68/2.91	       | X171 = zero_zero(X169)
2.68/2.91	       | ~ linordered_idom(X169)),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_122])).
2.68/2.91	tff('4', plain,
2.68/2.91	    ![X169 : $tType, X171 : X169, X172 : X169]:
2.68/2.91	      (app_encode_app(X169, X169, 
2.68/2.91	         app_encode_app(X169, app_encode_fun(X169, X169), plus_plus(X169), 
2.68/2.91	           app_encode_app(nat, X169, 
2.68/2.91	             app_encode_app(X169, app_encode_fun(nat, X169), 
2.68/2.91	               power_power(X169), X172), 
2.68/2.91	             app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	               app_encode_app(int, int, bit0, 
2.68/2.91	                 app_encode_app(int, int, bit1, zero_zero(int)))))), 
2.68/2.91	         app_encode_app(nat, X169, 
2.68/2.91	           app_encode_app(X169, app_encode_fun(nat, X169), 
2.68/2.91	             power_power(X169), X171), 
2.68/2.91	           app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	             app_encode_app(int, int, bit0, 
2.68/2.91	               app_encode_app(int, int, bit1, zero_zero(int))))))
2.68/2.91	        != zero_zero(X169)
2.68/2.91	       | X171 = zero_zero(X169)
2.68/2.91	       | ~ linordered_idom(X169)),
2.68/2.91	    inference('demod', [status(thm)], ['3', '1', '1'])).
2.68/2.91	tff('5', plain,
2.68/2.91	    (zero_zero(int) != zero_zero(int)
2.68/2.91	     | ~ linordered_idom(int)
2.68/2.91	     | w = zero_zero(int)),
2.68/2.91	    inference('sup-', [status(thm)], ['2', '4'])).
2.68/2.91	tff(zf_stmt_142, axiom, (linordered_idom(int))).
2.68/2.91	tff('6', plain, linordered_idom(int),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_142])).
2.68/2.91	tff('7', plain,
2.68/2.91	    (zero_zero(int) != zero_zero(int) | ~ $true | w = zero_zero(int)),
2.68/2.91	    inference('demod', [status(thm)], ['5', '6'])).
2.68/2.91	tff('8', plain, w = zero_zero(int),
2.68/2.91	    inference('simplify', [status(thm)], ['7'])).
2.68/2.91	tff(zf_stmt_145, axiom, (semiring_1(int))).
2.68/2.91	tff('9', plain, semiring_1(int),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_145])).
2.68/2.91	tff(zf_stmt_41, axiom,
2.68/2.91	  (![A:$tType]:
2.68/2.91	     (semiring_1(A) =>
2.68/2.91	      (app_encode_app(nat,A,
2.68/2.91	                      app_encode_app(A,app_encode_fun(nat,A),power_power(A),
2.68/2.91	                                     zero_zero(A)),
2.68/2.91	                      app_encode_app(int,nat,number_number_of(nat),
2.68/2.91	                                     app_encode_app(int,int,bit0,
2.68/2.91	                                                    app_encode_app(int,int,
2.68/2.91	                                                                   bit1,pls)))) =
2.68/2.91	       zero_zero(A))))).
2.68/2.91	tff('10', plain,
2.68/2.91	    ![X7 : $tType]:
2.68/2.91	      (app_encode_app(nat, X7, 
2.68/2.91	         app_encode_app(X7, app_encode_fun(nat, X7), power_power(X7), 
2.68/2.91	           zero_zero(X7)), 
2.68/2.91	         app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	           app_encode_app(int, int, bit0, 
2.68/2.91	             app_encode_app(int, int, bit1, pls))))
2.68/2.91	        = zero_zero(X7)
2.68/2.91	       | ~ semiring_1(X7)),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_41])).
2.68/2.91	tff('11', plain,
2.68/2.91	    ![X7 : $tType]:
2.68/2.91	      (app_encode_app(nat, X7, 
2.68/2.91	         app_encode_app(X7, app_encode_fun(nat, X7), power_power(X7), 
2.68/2.91	           zero_zero(X7)), 
2.68/2.91	         app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	           app_encode_app(int, int, bit0, 
2.68/2.91	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.68/2.91	        = zero_zero(X7)
2.68/2.91	       | ~ semiring_1(X7)),
2.68/2.91	    inference('demod', [status(thm)], ['10', '1'])).
2.68/2.91	tff('12', plain,
2.68/2.91	    (~ $true
2.68/2.91	     | app_encode_app(nat, int, 
2.68/2.91	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.68/2.91	           zero_zero(int)), 
2.68/2.91	         app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	           app_encode_app(int, int, bit0, 
2.68/2.91	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.68/2.91	        = zero_zero(int)),
2.68/2.91	    inference('sup-', [status(thm)], ['9', '11'])).
2.68/2.91	tff('13', plain,
2.68/2.91	    app_encode_app(nat, int, 
2.68/2.91	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.68/2.91	        zero_zero(int)), 
2.68/2.91	      app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	        app_encode_app(int, int, bit0, 
2.68/2.91	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.68/2.91	     = zero_zero(int),
2.68/2.91	    inference('simplify', [status(thm)], ['12'])).
2.68/2.91	tff(zf_stmt_112, axiom,
2.68/2.91	  (![K1:int]:
2.68/2.91	     (app_encode_app(int,int,
2.68/2.91	                     app_encode_app(int,app_encode_fun(int,int),
2.68/2.91	                                    plus_plus(int),K1),
2.68/2.91	                     pls) =
2.68/2.91	      K1))).
2.68/2.91	tff('14', plain,
2.68/2.91	    ![X151 : int]:
2.68/2.91	      app_encode_app(int, int, 
2.68/2.91	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X151), 
2.68/2.91	        pls)
2.68/2.91	       = X151,
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_112])).
2.68/2.91	tff('15', plain,
2.68/2.91	    ![X151 : int]:
2.68/2.91	      app_encode_app(int, int, 
2.68/2.91	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X151), 
2.68/2.91	        zero_zero(int))
2.68/2.91	       = X151,
2.68/2.91	    inference('demod', [status(thm)], ['14', '1'])).
2.68/2.91	tff('16', plain,
2.68/2.91	    app_encode_app(nat, int, 
2.68/2.91	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.68/2.91	      app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	        app_encode_app(int, int, bit0, 
2.68/2.91	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.68/2.91	     = zero_zero(int),
2.68/2.91	    inference('demod', [status(thm)], ['2', '8', '13', '15'])).
2.68/2.91	tff(zf_stmt_42, axiom,
2.68/2.91	  (![A:$tType]:
2.68/2.91	     (ring_11004092258visors(A) =>
2.68/2.91	      (![A1:A]:
2.68/2.91	         ((app_encode_app(nat,A,
2.68/2.91	                          app_encode_app(A,app_encode_fun(nat,A),
2.68/2.91	                                         power_power(A),A1),
2.68/2.91	                          app_encode_app(int,nat,number_number_of(nat),
2.68/2.91	                                         app_encode_app(int,int,bit0,
2.68/2.91	                                                        app_encode_app(
2.68/2.91	                                                        int,int,bit1,pls)))) =
2.68/2.91	           zero_zero(A)) <=>
2.68/2.91	          (A1 = zero_zero(A))))))).
2.68/2.91	tff('17', plain,
2.68/2.91	    ![X8 : $tType, X10 : X8]:
2.68/2.91	      (app_encode_app(nat, X8, 
2.68/2.91	         app_encode_app(X8, app_encode_fun(nat, X8), power_power(X8), X10), 
2.68/2.91	         app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	           app_encode_app(int, int, bit0, 
2.68/2.91	             app_encode_app(int, int, bit1, pls))))
2.68/2.91	        != zero_zero(X8)
2.68/2.91	       | X10 = zero_zero(X8)
2.68/2.91	       | ~ ring_11004092258visors(X8)),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_42])).
2.68/2.91	tff('18', plain,
2.68/2.91	    ![X8 : $tType, X10 : X8]:
2.68/2.91	      (app_encode_app(nat, X8, 
2.68/2.91	         app_encode_app(X8, app_encode_fun(nat, X8), power_power(X8), X10), 
2.68/2.91	         app_encode_app(int, nat, number_number_of(nat), 
2.68/2.91	           app_encode_app(int, int, bit0, 
2.68/2.91	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.68/2.91	        != zero_zero(X8)
2.68/2.91	       | X10 = zero_zero(X8)
2.68/2.91	       | ~ ring_11004092258visors(X8)),
2.68/2.91	    inference('demod', [status(thm)], ['17', '1'])).
2.68/2.91	tff('19', plain,
2.68/2.91	    (zero_zero(int) != zero_zero(int)
2.68/2.91	     | ~ ring_11004092258visors(int)
2.68/2.91	     | v = zero_zero(int)),
2.68/2.91	    inference('sup-', [status(thm)], ['16', '18'])).
2.68/2.91	tff(zf_stmt_138, axiom, (ring_11004092258visors(int))).
2.68/2.91	tff('20', plain, ring_11004092258visors(int),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_138])).
2.68/2.91	tff('21', plain,
2.68/2.91	    (zero_zero(int) != zero_zero(int) | ~ $true | v = zero_zero(int)),
2.68/2.91	    inference('demod', [status(thm)], ['19', '20'])).
2.68/2.91	tff('22', plain, v = zero_zero(int),
2.68/2.91	    inference('simplify', [status(thm)], ['21'])).
2.68/2.91	tff(zf_stmt_39, axiom, (v != zero_zero(int))).
2.68/2.91	tff('23', plain, v != zero_zero(int),
2.68/2.91	    inference('cnf', [status(esa)], [zf_stmt_39])).
2.68/2.91	tff('24', plain, $false,
2.68/2.91	    inference('simplify_reflect-', [status(thm)], ['22', '23'])).
2.68/2.91	
2.68/2.91	% SZS output end Refutation
2.68/2.91	EOF
