0.00/0.00	% File    : /export/starexec/sandbox2/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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n161.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:32:53 CST 2018
0.00/0.40	% done 379 iterations in 0.203s
0.00/0.40	% SZS status Theorem for 'stdin'
0.00/0.40	% SZS output start Refutation
0.00/0.40	tff(zf_stmt_37, axiom,
0.00/0.40	  (app_encode_app(int,$o,
0.00/0.40	                  app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
0.00/0.40	                                 zero_zero(int)),
0.00/0.40	                  app_encode_app(int,int,
0.00/0.40	                                 app_encode_app(int,app_encode_fun(int,int),
0.00/0.40	                                                plus_plus(int),one_one(int)),
0.00/0.40	                                 app_encode_app(nat,int,
0.00/0.40	                                                semiring_1_of_nat(int),n))))).
0.00/0.40	tff('0', plain,
0.00/0.40	    app_encode_app(int, $o, 
0.00/0.40	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
0.00/0.40	        zero_zero(int)), 
0.00/0.40	      app_encode_app(int, int, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	          one_one(int)), app_encode_app(nat, int, semiring_1_of_nat(int), n))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_37])).
0.00/0.40	tff(zf_stmt_96, axiom,
0.00/0.40	  (one_one(int) =
0.00/0.40	   app_encode_app(int,int,number_number_of(int),
0.00/0.40	                  app_encode_app(int,int,bit1,pls)))).
0.00/0.40	tff('1', plain,
0.00/0.40	    one_one(int)
0.00/0.40	     = app_encode_app(int, int, number_number_of(int), 
0.00/0.40	         app_encode_app(int, int, bit1, pls)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_96])).
0.00/0.40	tff(zf_stmt_108, axiom, (pls = zero_zero(int))).
0.00/0.40	tff('2', plain, pls = zero_zero(int),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_108])).
0.00/0.40	tff('3', plain,
0.00/0.40	    one_one(int)
0.00/0.40	     = app_encode_app(int, int, number_number_of(int), 
0.00/0.40	         app_encode_app(int, int, bit1, zero_zero(int))),
0.00/0.40	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.40	tff('4', plain,
0.00/0.40	    app_encode_app(int, $o, 
0.00/0.40	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
0.00/0.40	        zero_zero(int)), 
0.00/0.40	      app_encode_app(int, int, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	          app_encode_app(int, int, number_number_of(int), 
0.00/0.40	            app_encode_app(int, int, bit1, zero_zero(int)))), 
0.00/0.40	        app_encode_app(nat, int, semiring_1_of_nat(int), n))),
0.00/0.40	    inference('demod', [status(thm)], ['0', '3'])).
0.00/0.40	tff(zf_stmt_109, axiom,
0.00/0.40	  (![K:int]:
0.00/0.40	     (app_encode_app(int,int,
0.00/0.40	                     app_encode_app(int,app_encode_fun(int,int),
0.00/0.40	                                    plus_plus(int),K),
0.00/0.40	                     pls) =
0.00/0.40	      K))).
0.00/0.40	tff('5', plain,
0.00/0.40	    ![X141 : int]:
0.00/0.40	      app_encode_app(int, int, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X141), 
0.00/0.40	        pls)
0.00/0.40	       = X141,
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_109])).
0.00/0.40	tff('6', plain,
0.00/0.40	    ![X141 : int]:
0.00/0.40	      app_encode_app(int, int, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X141), 
0.00/0.40	        zero_zero(int))
0.00/0.40	       = X141,
0.00/0.40	    inference('demod', [status(thm)], ['5', '2'])).
0.00/0.40	tff(zf_stmt_117, axiom,
0.00/0.40	  (![K:int]:
0.00/0.40	     (app_encode_app(int,int,bit1,K) =
0.00/0.40	      app_encode_app(int,int,
0.00/0.40	                     app_encode_app(int,app_encode_fun(int,int),
0.00/0.40	                                    plus_plus(int),
0.00/0.40	                                    app_encode_app(int,int,
0.00/0.40	                                                   app_encode_app(int,
0.00/0.40	                                                                  app_encode_fun(
0.00/0.40	                                                                  int,int),
0.00/0.40	                                                                  plus_plus(
0.00/0.40	                                                                  int),
0.00/0.40	                                                                  one_one(
0.00/0.40	                                                                  int)),
0.00/0.40	                                                   K)),
0.00/0.40	                     K)))).
0.00/0.40	tff('7', plain,
0.00/0.40	    ![X153 : int]:
0.00/0.40	      app_encode_app(int, int, bit1, X153)
0.00/0.40	       = app_encode_app(int, int, 
0.00/0.40	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	             app_encode_app(int, int, 
0.00/0.40	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	                 one_one(int)), X153)), X153),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_117])).
0.00/0.40	tff('8', plain,
0.00/0.40	    ![X153 : int]:
0.00/0.40	      app_encode_app(int, int, bit1, X153)
0.00/0.40	       = app_encode_app(int, int, 
0.00/0.40	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	             app_encode_app(int, int, 
0.00/0.40	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	                 app_encode_app(int, int, number_number_of(int), 
0.00/0.40	                   app_encode_app(int, int, bit1, zero_zero(int)))), X153)), 
0.00/0.40	           X153),
0.00/0.40	    inference('demod', [status(thm)], ['7', '3'])).
0.00/0.40	tff('9', plain,
0.00/0.40	    app_encode_app(int, int, bit1, zero_zero(int))
0.00/0.40	     = app_encode_app(int, int, 
0.00/0.40	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	           app_encode_app(int, int, number_number_of(int), 
0.00/0.40	             app_encode_app(int, int, bit1, zero_zero(int)))), 
0.00/0.40	         zero_zero(int)),
0.00/0.40	    inference('sup+', [status(thm)], ['6', '8'])).
0.00/0.40	tff('10', plain,
0.00/0.40	    app_encode_app(int, int, bit1, zero_zero(int))
0.00/0.40	     = app_encode_app(int, int, number_number_of(int), 
0.00/0.40	         app_encode_app(int, int, bit1, zero_zero(int))),
0.00/0.40	    inference('demod', [status(thm)], ['9', '6'])).
0.00/0.40	tff('11', plain,
0.00/0.40	    app_encode_app(int, $o, 
0.00/0.40	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
0.00/0.40	        zero_zero(int)), 
0.00/0.40	      app_encode_app(int, int, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	          app_encode_app(int, int, bit1, zero_zero(int))), 
0.00/0.40	        app_encode_app(nat, int, semiring_1_of_nat(int), n))),
0.00/0.40	    inference('demod', [status(thm)], ['4', '10'])).
0.00/0.40	tff(zf_stmt_174, conjecture,
0.00/0.40	  (app_encode_app(nat,int,
0.00/0.40	                  app_encode_app(int,app_encode_fun(nat,int),
0.00/0.40	                                 power_power(int),
0.00/0.40	                                 app_encode_app(int,int,
0.00/0.40	                                                app_encode_app(int,
0.00/0.40	                                                               app_encode_fun(
0.00/0.40	                                                               int,int),
0.00/0.40	                                                               plus_plus(int),
0.00/0.40	                                                               one_one(int)),
0.00/0.40	                                                app_encode_app(nat,int,
0.00/0.40	                                                               semiring_1_of_nat(
0.00/0.40	                                                               int),n))),
0.00/0.40	                  app_encode_app(int,nat,number_number_of(nat),
0.00/0.40	                                 app_encode_app(int,int,bit0,
0.00/0.40	                                                app_encode_app(int,int,bit1,
0.00/0.40	                                                               pls)))) !=
0.00/0.40	   zero_zero(int))).
0.00/0.40	tff(zf_stmt_0, negated_conjecture,
0.00/0.40	  (app_encode_app(nat,int,
0.00/0.40	                  app_encode_app(int,app_encode_fun(nat,int),
0.00/0.40	                                 power_power(int),
0.00/0.40	                                 app_encode_app(int,int,
0.00/0.40	                                                app_encode_app(int,
0.00/0.40	                                                               app_encode_fun(
0.00/0.40	                                                               int,int),
0.00/0.40	                                                               plus_plus(int),
0.00/0.40	                                                               one_one(int)),
0.00/0.40	                                                app_encode_app(nat,int,
0.00/0.40	                                                               semiring_1_of_nat(
0.00/0.40	                                                               int),n))),
0.00/0.40	                  app_encode_app(int,nat,number_number_of(nat),
0.00/0.40	                                 app_encode_app(int,int,bit0,
0.00/0.40	                                                app_encode_app(int,int,bit1,
0.00/0.40	                                                               pls)))) =
0.00/0.40	   zero_zero(int))).
0.00/0.40	tff('12', plain,
0.00/0.40	    app_encode_app(nat, int, 
0.00/0.40	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.00/0.40	        app_encode_app(int, int, 
0.00/0.40	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	            one_one(int)), 
0.00/0.40	          app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
0.00/0.40	      app_encode_app(int, nat, number_number_of(nat), 
0.00/0.40	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
0.00/0.40	     = zero_zero(int),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('13', plain,
0.00/0.40	    one_one(int) = app_encode_app(int, int, bit1, zero_zero(int)),
0.00/0.40	    inference('demod', [status(thm)], ['3', '10'])).
0.00/0.40	tff(zf_stmt_111, axiom,
0.00/0.40	  (![K:int]:
0.00/0.40	     (app_encode_app(int,int,bit0,K) =
0.00/0.40	      app_encode_app(int,int,
0.00/0.40	                     app_encode_app(int,app_encode_fun(int,int),
0.00/0.40	                                    plus_plus(int),K),
0.00/0.40	                     K)))).
0.00/0.40	tff('14', plain,
0.00/0.40	    ![X143 : int]:
0.00/0.40	      app_encode_app(int, int, bit0, X143)
0.00/0.40	       = app_encode_app(int, int, 
0.00/0.40	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	             X143), X143),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_111])).
0.00/0.40	tff('15', plain,
0.00/0.40	    app_encode_app(nat, int, 
0.00/0.40	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
0.00/0.40	        app_encode_app(int, int, 
0.00/0.40	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	            app_encode_app(int, int, bit1, zero_zero(int))), 
0.00/0.40	          app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
0.00/0.40	      app_encode_app(int, nat, number_number_of(nat), 
0.00/0.40	        app_encode_app(int, int, 
0.00/0.40	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	            app_encode_app(int, int, bit1, zero_zero(int))), 
0.00/0.40	          app_encode_app(int, int, bit1, zero_zero(int)))))
0.00/0.40	     = zero_zero(int),
0.00/0.40	    inference('demod', [status(thm)], ['12', '13', '2', '14'])).
0.00/0.40	tff(zf_stmt_75, axiom,
0.00/0.40	  (![A:$tType]:
0.00/0.40	     ((power(A) & mult_zero(A) & no_zero_divisors(A) & zero_neq_one(A)) =>
0.00/0.40	      (![Wa:int,A1:A]:
0.00/0.40	         ((app_encode_app(nat,A,
0.00/0.40	                          app_encode_app(A,app_encode_fun(nat,A),
0.00/0.40	                                         power_power(A),A1),
0.00/0.40	                          app_encode_app(int,nat,number_number_of(nat),Wa)) =
0.00/0.40	           zero_zero(A)) <=>
0.00/0.40	          ((A1 = zero_zero(A)) & 
0.00/0.40	           (app_encode_app(int,nat,number_number_of(nat),Wa) !=
0.00/0.40	            zero_zero(nat)))))))).
0.00/0.40	tff('16', plain,
0.00/0.40	    ![X74 : $tType, X76 : int, X77 : X74]:
0.00/0.40	      (app_encode_app(nat, X74, 
0.00/0.40	         app_encode_app(X74, app_encode_fun(nat, X74), power_power(X74), X77), 
0.00/0.40	         app_encode_app(int, nat, number_number_of(nat), X76))
0.00/0.40	        != zero_zero(X74)
0.00/0.40	       | X77 = zero_zero(X74)
0.00/0.40	       | ~ zero_neq_one(X74)
0.00/0.40	       | ~ no_zero_divisors(X74)
0.00/0.40	       | ~ mult_zero(X74)
0.00/0.40	       | ~ power(X74)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_75])).
0.00/0.40	tff('17', plain,
0.00/0.40	    (zero_zero(int) != zero_zero(int)
0.00/0.40	     | ~ power(int)
0.00/0.40	     | ~ mult_zero(int)
0.00/0.40	     | ~ no_zero_divisors(int)
0.00/0.40	     | ~ zero_neq_one(int)
0.00/0.40	     | app_encode_app(int, int, 
0.00/0.40	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	           app_encode_app(int, int, bit1, zero_zero(int))), 
0.00/0.40	         app_encode_app(nat, int, semiring_1_of_nat(int), n))
0.00/0.40	        = zero_zero(int)),
0.00/0.40	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.40	tff(zf_stmt_147, axiom, (power(int))).
0.00/0.40	tff('18', plain, power(int), inference('cnf', [status(esa)], [zf_stmt_147])).
0.00/0.40	tff(zf_stmt_144, axiom, (mult_zero(int))).
0.00/0.40	tff('19', plain, mult_zero(int),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_144])).
0.00/0.40	tff(zf_stmt_138, axiom, (no_zero_divisors(int))).
0.00/0.40	tff('20', plain, no_zero_divisors(int),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_138])).
0.00/0.40	tff(zf_stmt_141, axiom, (zero_neq_one(int))).
0.00/0.40	tff('21', plain, zero_neq_one(int),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_141])).
0.00/0.40	tff('22', plain,
0.00/0.40	    (zero_zero(int) != zero_zero(int)
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(int, int, 
0.00/0.40	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	           app_encode_app(int, int, bit1, zero_zero(int))), 
0.00/0.40	         app_encode_app(nat, int, semiring_1_of_nat(int), n))
0.00/0.40	        = zero_zero(int)),
0.00/0.40	    inference('demod', [status(thm)], ['17', '18', '19', '20', '21'])).
0.00/0.40	tff('23', plain,
0.00/0.40	    app_encode_app(int, int, 
0.00/0.40	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.00/0.40	        app_encode_app(int, int, bit1, zero_zero(int))), 
0.00/0.40	      app_encode_app(nat, int, semiring_1_of_nat(int), n))
0.00/0.40	     = zero_zero(int),
0.00/0.40	    inference('simplify', [status(thm)], ['22'])).
0.00/0.40	tff('24', plain,
0.00/0.40	    app_encode_app(int, $o, 
0.00/0.40	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
0.00/0.40	        zero_zero(int)), zero_zero(int)),
0.00/0.40	    inference('demod', [status(thm)], ['11', '23'])).
0.00/0.40	tff(zf_stmt_63, axiom,
0.00/0.40	  (~
0.00/0.40	    app_encode_app(int,$o,
0.00/0.40	                   app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
0.00/0.40	                                  pls),
0.00/0.40	                   pls))).
0.00/0.40	tff('25', plain,
0.00/0.40	    ~ app_encode_app(int, $o, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
0.00/0.40	        pls),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_63])).
0.00/0.40	tff('26', plain,
0.00/0.40	    ~ app_encode_app(int, $o, 
0.00/0.40	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
0.00/0.40	          zero_zero(int)), zero_zero(int)),
0.00/0.40	    inference('demod', [status(thm)], ['25', '2', '2'])).
0.00/0.40	tff('27', plain, ~ $true, inference('sup-', [status(thm)], ['24', '26'])).
0.00/0.40	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.00/0.40	
0.00/0.40	% SZS output end Refutation
0.00/0.40	EOF
