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
0.00/0.20	% Computer   : n177.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 13:34:23 CST 2018
2.61/2.89	% done 881 iterations in 2.663s
2.61/2.89	% SZS status Theorem for 'stdin'
2.61/2.89	% SZS output start Refutation
2.61/2.89	tff(zf_stmt_88, axiom,
2.61/2.89	  (app_encode_app(int,int,
2.61/2.89	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.61/2.89	                                 app_encode_app(nat,int,
2.61/2.89	                                                app_encode_app(int,
2.61/2.89	                                                               app_encode_fun(
2.61/2.89	                                                               nat,int),
2.61/2.89	                                                               power_power(
2.61/2.89	                                                               int),v),
2.61/2.89	                                                app_encode_app(int,nat,
2.61/2.89	                                                               number_number_of(
2.61/2.89	                                                               nat),
2.61/2.89	                                                               app_encode_app(
2.61/2.89	                                                               int,int,bit0,
2.61/2.89	                                                               app_encode_app(
2.61/2.89	                                                               int,int,bit1,
2.61/2.89	                                                               pls))))),
2.61/2.89	                  app_encode_app(nat,int,
2.61/2.89	                                 app_encode_app(int,app_encode_fun(nat,int),
2.61/2.89	                                                power_power(int),w),
2.61/2.89	                                 app_encode_app(int,nat,
2.61/2.89	                                                number_number_of(nat),
2.61/2.89	                                                app_encode_app(int,int,bit0,
2.61/2.89	                                                               app_encode_app(
2.61/2.89	                                                               int,int,bit1,
2.61/2.89	                                                               pls))))) =
2.61/2.89	   zero_zero(int))).
2.61/2.89	tff('0', plain,
2.61/2.89	    app_encode_app(int, int, 
2.61/2.89	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.61/2.89	        app_encode_app(nat, int, 
2.61/2.89	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.61/2.89	          app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	            app_encode_app(int, int, bit0, 
2.61/2.89	              app_encode_app(int, int, bit1, pls))))), 
2.61/2.89	      app_encode_app(nat, int, 
2.61/2.89	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.61/2.89	        app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.61/2.89	     = zero_zero(int),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_88])).
2.61/2.89	tff(zf_stmt_75, axiom, (pls = zero_zero(int))).
2.61/2.89	tff('1', plain, pls = zero_zero(int),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_75])).
2.61/2.89	tff('2', plain,
2.61/2.89	    app_encode_app(int, int, 
2.61/2.89	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.61/2.89	        app_encode_app(nat, int, 
2.61/2.89	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.61/2.89	          app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	            app_encode_app(int, int, bit0, 
2.61/2.89	              app_encode_app(int, int, bit1, zero_zero(int)))))), 
2.61/2.89	      app_encode_app(nat, int, 
2.61/2.89	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.61/2.89	        app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	          app_encode_app(int, int, bit0, 
2.61/2.89	            app_encode_app(int, int, bit1, zero_zero(int))))))
2.61/2.89	     = zero_zero(int),
2.61/2.89	    inference('demod', [status(thm)], ['0', '1', '1'])).
2.61/2.89	tff(zf_stmt_121, axiom,
2.61/2.89	  (![A:$tType]:
2.61/2.89	     (linordered_idom(A) =>
2.61/2.89	      (![Ya:A,Xa:A]:
2.61/2.89	         ((app_encode_app(A,A,
2.61/2.89	                          app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
2.61/2.89	                                         app_encode_app(nat,A,
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        A,
2.61/2.89	                                                        app_encode_fun(nat,A),
2.61/2.89	                                                        power_power(A),Xa),
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        int,nat,
2.61/2.89	                                                        number_number_of(nat),
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        int,int,bit0,
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        int,int,bit1,pls))))),
2.61/2.89	                          app_encode_app(nat,A,
2.61/2.89	                                         app_encode_app(A,
2.61/2.89	                                                        app_encode_fun(nat,A),
2.61/2.89	                                                        power_power(A),Ya),
2.61/2.89	                                         app_encode_app(int,nat,
2.61/2.89	                                                        number_number_of(nat),
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        int,int,bit0,
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        int,int,bit1,pls))))) =
2.61/2.89	           zero_zero(A)) <=>
2.61/2.89	          ((Xa = zero_zero(A)) & (Ya = zero_zero(A)))))))).
2.61/2.89	tff('3', plain,
2.61/2.89	    ![X165 : $tType, X167 : X165, X168 : X165]:
2.61/2.89	      (app_encode_app(X165, X165, 
2.61/2.89	         app_encode_app(X165, app_encode_fun(X165, X165), plus_plus(X165), 
2.61/2.89	           app_encode_app(nat, X165, 
2.61/2.89	             app_encode_app(X165, app_encode_fun(nat, X165), 
2.61/2.89	               power_power(X165), X168), 
2.61/2.89	             app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	               app_encode_app(int, int, bit0, 
2.61/2.89	                 app_encode_app(int, int, bit1, pls))))), 
2.61/2.89	         app_encode_app(nat, X165, 
2.61/2.89	           app_encode_app(X165, app_encode_fun(nat, X165), 
2.61/2.89	             power_power(X165), X167), 
2.61/2.89	           app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	             app_encode_app(int, int, bit0, 
2.61/2.89	               app_encode_app(int, int, bit1, pls)))))
2.61/2.89	        != zero_zero(X165)
2.61/2.89	       | X167 = zero_zero(X165)
2.61/2.89	       | ~ linordered_idom(X165)),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_121])).
2.61/2.89	tff('4', plain,
2.61/2.89	    ![X165 : $tType, X167 : X165, X168 : X165]:
2.61/2.89	      (app_encode_app(X165, X165, 
2.61/2.89	         app_encode_app(X165, app_encode_fun(X165, X165), plus_plus(X165), 
2.61/2.89	           app_encode_app(nat, X165, 
2.61/2.89	             app_encode_app(X165, app_encode_fun(nat, X165), 
2.61/2.89	               power_power(X165), X168), 
2.61/2.89	             app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	               app_encode_app(int, int, bit0, 
2.61/2.89	                 app_encode_app(int, int, bit1, zero_zero(int)))))), 
2.61/2.89	         app_encode_app(nat, X165, 
2.61/2.89	           app_encode_app(X165, app_encode_fun(nat, X165), 
2.61/2.89	             power_power(X165), X167), 
2.61/2.89	           app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	             app_encode_app(int, int, bit0, 
2.61/2.89	               app_encode_app(int, int, bit1, zero_zero(int))))))
2.61/2.89	        != zero_zero(X165)
2.61/2.89	       | X167 = zero_zero(X165)
2.61/2.89	       | ~ linordered_idom(X165)),
2.61/2.89	    inference('demod', [status(thm)], ['3', '1', '1'])).
2.61/2.89	tff('5', plain,
2.61/2.89	    (zero_zero(int) != zero_zero(int)
2.61/2.89	     | ~ linordered_idom(int)
2.61/2.89	     | w = zero_zero(int)),
2.61/2.89	    inference('sup-', [status(thm)], ['2', '4'])).
2.61/2.89	tff(zf_stmt_141, axiom, (linordered_idom(int))).
2.61/2.89	tff('6', plain, linordered_idom(int),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_141])).
2.61/2.89	tff('7', plain,
2.61/2.89	    (zero_zero(int) != zero_zero(int) | ~ $true | w = zero_zero(int)),
2.61/2.89	    inference('demod', [status(thm)], ['5', '6'])).
2.61/2.89	tff('8', plain, w = zero_zero(int),
2.61/2.89	    inference('simplify', [status(thm)], ['7'])).
2.61/2.89	tff(zf_stmt_144, axiom, (semiring_1(int))).
2.61/2.89	tff('9', plain, semiring_1(int),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_144])).
2.61/2.89	tff(zf_stmt_40, axiom,
2.61/2.89	  (![A:$tType]:
2.61/2.89	     (semiring_1(A) =>
2.61/2.89	      (app_encode_app(nat,A,
2.61/2.89	                      app_encode_app(A,app_encode_fun(nat,A),power_power(A),
2.61/2.89	                                     zero_zero(A)),
2.61/2.89	                      app_encode_app(int,nat,number_number_of(nat),
2.61/2.89	                                     app_encode_app(int,int,bit0,
2.61/2.89	                                                    app_encode_app(int,int,
2.61/2.89	                                                                   bit1,pls)))) =
2.61/2.89	       zero_zero(A))))).
2.61/2.89	tff('10', plain,
2.61/2.89	    ![X3 : $tType]:
2.61/2.89	      (app_encode_app(nat, X3, 
2.61/2.89	         app_encode_app(X3, app_encode_fun(nat, X3), power_power(X3), 
2.61/2.89	           zero_zero(X3)), 
2.61/2.89	         app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	           app_encode_app(int, int, bit0, 
2.61/2.89	             app_encode_app(int, int, bit1, pls))))
2.61/2.89	        = zero_zero(X3)
2.61/2.89	       | ~ semiring_1(X3)),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_40])).
2.61/2.89	tff('11', plain,
2.61/2.89	    (~ $true
2.61/2.89	     | app_encode_app(nat, int, 
2.61/2.89	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.61/2.89	           zero_zero(int)), 
2.61/2.89	         app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	           app_encode_app(int, int, bit0, 
2.61/2.89	             app_encode_app(int, int, bit1, pls))))
2.61/2.89	        = zero_zero(int)),
2.61/2.89	    inference('sup-', [status(thm)], ['9', '10'])).
2.61/2.89	tff('12', plain,
2.61/2.89	    app_encode_app(nat, int, 
2.61/2.89	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.61/2.89	        zero_zero(int)), 
2.61/2.89	      app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
2.61/2.89	     = zero_zero(int),
2.61/2.89	    inference('simplify', [status(thm)], ['11'])).
2.61/2.89	tff('13', plain,
2.61/2.89	    app_encode_app(nat, int, 
2.61/2.89	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.61/2.89	        zero_zero(int)), 
2.61/2.89	      app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	        app_encode_app(int, int, bit0, 
2.61/2.89	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.61/2.89	     = zero_zero(int),
2.61/2.89	    inference('demod', [status(thm)], ['12', '1'])).
2.61/2.89	tff(zf_stmt_111, axiom,
2.61/2.89	  (![K1:int]:
2.61/2.89	     (app_encode_app(int,int,
2.61/2.89	                     app_encode_app(int,app_encode_fun(int,int),
2.61/2.89	                                    plus_plus(int),K1),
2.61/2.89	                     pls) =
2.61/2.89	      K1))).
2.61/2.89	tff('14', plain,
2.61/2.89	    ![X147 : int]:
2.61/2.89	      app_encode_app(int, int, 
2.61/2.89	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X147), 
2.61/2.89	        pls)
2.61/2.89	       = X147,
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_111])).
2.61/2.89	tff('15', plain,
2.61/2.89	    ![X147 : int]:
2.61/2.89	      app_encode_app(int, int, 
2.61/2.89	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X147), 
2.61/2.89	        zero_zero(int))
2.61/2.89	       = X147,
2.61/2.89	    inference('demod', [status(thm)], ['14', '1'])).
2.61/2.89	tff('16', plain,
2.61/2.89	    app_encode_app(nat, int, 
2.61/2.89	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.61/2.89	      app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	        app_encode_app(int, int, bit0, 
2.61/2.89	          app_encode_app(int, int, bit1, zero_zero(int)))))
2.61/2.89	     = zero_zero(int),
2.61/2.89	    inference('demod', [status(thm)], ['2', '8', '13', '15'])).
2.61/2.89	tff(zf_stmt_41, axiom,
2.61/2.89	  (![A:$tType]:
2.61/2.89	     (ring_11004092258visors(A) =>
2.61/2.89	      (![A1:A]:
2.61/2.89	         ((app_encode_app(nat,A,
2.61/2.89	                          app_encode_app(A,app_encode_fun(nat,A),
2.61/2.89	                                         power_power(A),A1),
2.61/2.89	                          app_encode_app(int,nat,number_number_of(nat),
2.61/2.89	                                         app_encode_app(int,int,bit0,
2.61/2.89	                                                        app_encode_app(
2.61/2.89	                                                        int,int,bit1,pls)))) =
2.61/2.89	           zero_zero(A)) <=>
2.61/2.89	          (A1 = zero_zero(A))))))).
2.61/2.89	tff('17', plain,
2.61/2.89	    ![X4 : $tType, X6 : X4]:
2.61/2.89	      (app_encode_app(nat, X4, 
2.61/2.89	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), X6), 
2.61/2.89	         app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	           app_encode_app(int, int, bit0, 
2.61/2.89	             app_encode_app(int, int, bit1, pls))))
2.61/2.89	        != zero_zero(X4)
2.61/2.89	       | X6 = zero_zero(X4)
2.61/2.89	       | ~ ring_11004092258visors(X4)),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_41])).
2.61/2.89	tff('18', plain,
2.61/2.89	    ![X4 : $tType, X6 : X4]:
2.61/2.89	      (app_encode_app(nat, X4, 
2.61/2.89	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), X6), 
2.61/2.89	         app_encode_app(int, nat, number_number_of(nat), 
2.61/2.89	           app_encode_app(int, int, bit0, 
2.61/2.89	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.61/2.89	        != zero_zero(X4)
2.61/2.89	       | X6 = zero_zero(X4)
2.61/2.89	       | ~ ring_11004092258visors(X4)),
2.61/2.89	    inference('demod', [status(thm)], ['17', '1'])).
2.61/2.89	tff('19', plain,
2.61/2.89	    (zero_zero(int) != zero_zero(int)
2.61/2.89	     | ~ ring_11004092258visors(int)
2.61/2.89	     | v = zero_zero(int)),
2.61/2.89	    inference('sup-', [status(thm)], ['16', '18'])).
2.61/2.89	tff(zf_stmt_137, axiom, (ring_11004092258visors(int))).
2.61/2.89	tff('20', plain, ring_11004092258visors(int),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_137])).
2.61/2.89	tff('21', plain,
2.61/2.89	    (zero_zero(int) != zero_zero(int) | ~ $true | v = zero_zero(int)),
2.61/2.89	    inference('demod', [status(thm)], ['19', '20'])).
2.61/2.89	tff('22', plain, v = zero_zero(int),
2.61/2.89	    inference('simplify', [status(thm)], ['21'])).
2.61/2.89	tff(zf_stmt_38, axiom, (v != zero_zero(int))).
2.61/2.89	tff('23', plain, v != zero_zero(int),
2.61/2.89	    inference('cnf', [status(esa)], [zf_stmt_38])).
2.61/2.89	tff('24', plain, $false,
2.61/2.89	    inference('simplify_reflect-', [status(thm)], ['22', '23'])).
2.61/2.89	
2.61/2.89	% SZS output end Refutation
2.61/2.90	EOF
