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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n080.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:47:09 CST 2018
0.84/1.09	% done 871 iterations in 0.885s
0.84/1.09	% SZS status Theorem for 'stdin'
0.84/1.09	% SZS output start Refutation
0.84/1.09	tff(zf_stmt_29, axiom,
0.84/1.09	  ((~
0.84/1.09	     app_encode_app(int,$o,
0.84/1.09	                    app_encode_app(int,app_encode_fun(int,$o),quadRes,
0.84/1.09	                                   app_encode_app(int,int,
0.84/1.09	                                                  app_encode_app(int,
0.84/1.09	                                                                 app_encode_fun(
0.84/1.09	                                                                 int,int),
0.84/1.09	                                                                 plus_plus(
0.84/1.09	                                                                 int),
0.84/1.09	                                                                 app_encode_app(
0.84/1.09	                                                                 int,int,
0.84/1.09	                                                                 app_encode_app(
0.84/1.09	                                                                 int,
0.84/1.09	                                                                 app_encode_fun(
0.84/1.09	                                                                 int,int),
0.84/1.09	                                                                 times_times(
0.84/1.09	                                                                 int),
0.84/1.09	                                                                 app_encode_app(
0.84/1.09	                                                                 int,int,
0.84/1.09	                                                                 number_number_of(
0.84/1.09	                                                                 int),
0.84/1.09	                                                                 app_encode_app(
0.84/1.09	                                                                 int,int,
0.84/1.09	                                                                 bit0,
0.84/1.09	                                                                 app_encode_app(
0.84/1.09	                                                                 int,int,
0.84/1.09	                                                                 bit0,
0.84/1.09	                                                                 app_encode_app(
0.84/1.09	                                                                 int,int,
0.84/1.09	                                                                 bit1,pls))))),
0.84/1.09	                                                                 m)),
0.84/1.09	                                                  one_one(int))),
0.84/1.09	                    app_encode_app(int,int,number_number_of(int),min))) =>
0.84/1.09	   (app_encode_app(int,int,
0.84/1.09	                   app_encode_app(int,app_encode_fun(int,int),legendre,
0.84/1.09	                                  app_encode_app(int,int,
0.84/1.09	                                                 number_number_of(int),min)),
0.84/1.09	                   app_encode_app(int,int,
0.84/1.09	                                  app_encode_app(int,app_encode_fun(int,int),
0.84/1.09	                                                 plus_plus(int),
0.84/1.09	                                                 app_encode_app(int,int,
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,
0.84/1.09	                                                                app_encode_fun(
0.84/1.09	                                                                int,int),
0.84/1.09	                                                                times_times(
0.84/1.09	                                                                int),
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,
0.84/1.09	                                                                number_number_of(
0.84/1.09	                                                                int),
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,bit0,
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,bit0,
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,bit1,
0.84/1.09	                                                                pls))))),m)),
0.84/1.09	                                  one_one(int))) !=
0.84/1.09	    one_one(int)))).
0.84/1.09	tff('0', plain,
0.84/1.09	    (app_encode_app(int, int, 
0.84/1.09	       app_encode_app(int, app_encode_fun(int, int), legendre, 
0.84/1.09	         app_encode_app(int, int, number_number_of(int), min)), 
0.84/1.09	       app_encode_app(int, int, 
0.84/1.09	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	           app_encode_app(int, int, 
0.84/1.09	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	               app_encode_app(int, int, number_number_of(int), 
0.84/1.09	                 app_encode_app(int, int, bit0, 
0.84/1.09	                   app_encode_app(int, int, bit0, 
0.84/1.09	                     app_encode_app(int, int, bit1, pls))))), m)), 
0.84/1.09	         one_one(int)))
0.84/1.09	      != one_one(int)
0.84/1.09	     | app_encode_app(int, $o, 
0.84/1.09	         app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	           app_encode_app(int, int, 
0.84/1.09	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	               app_encode_app(int, int, 
0.84/1.09	                 app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                   times_times(int), 
0.84/1.09	                   app_encode_app(int, int, number_number_of(int), 
0.84/1.09	                     app_encode_app(int, int, bit0, 
0.84/1.09	                       app_encode_app(int, int, bit0, 
0.84/1.09	                         app_encode_app(int, int, bit1, pls))))), m)), 
0.84/1.09	             one_one(int))), 
0.84/1.09	         app_encode_app(int, int, number_number_of(int), min))),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_29])).
0.84/1.09	tff(zf_stmt_28, axiom,
0.84/1.09	  (app_encode_app(int,int,
0.84/1.09	                  app_encode_app(int,app_encode_fun(int,int),legendre,
0.84/1.09	                                 app_encode_app(int,int,
0.84/1.09	                                                number_number_of(int),min)),
0.84/1.09	                  app_encode_app(int,int,
0.84/1.09	                                 app_encode_app(int,app_encode_fun(int,int),
0.84/1.09	                                                plus_plus(int),
0.84/1.09	                                                app_encode_app(int,int,
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,
0.84/1.09	                                                               app_encode_fun(
0.84/1.09	                                                               int,int),
0.84/1.09	                                                               times_times(
0.84/1.09	                                                               int),
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,
0.84/1.09	                                                               number_number_of(
0.84/1.09	                                                               int),
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,bit0,
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,bit0,
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,bit1,
0.84/1.09	                                                               pls))))),m)),
0.84/1.09	                                 one_one(int))) =
0.84/1.09	   one_one(int))).
0.84/1.09	tff('1', plain,
0.84/1.09	    app_encode_app(int, int, 
0.84/1.09	      app_encode_app(int, app_encode_fun(int, int), legendre, 
0.84/1.09	        app_encode_app(int, int, number_number_of(int), min)), 
0.84/1.09	      app_encode_app(int, int, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	          app_encode_app(int, int, 
0.84/1.09	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	              app_encode_app(int, int, number_number_of(int), 
0.84/1.09	                app_encode_app(int, int, bit0, 
0.84/1.09	                  app_encode_app(int, int, bit0, 
0.84/1.09	                    app_encode_app(int, int, bit1, pls))))), m)), 
0.84/1.09	        one_one(int)))
0.84/1.09	     = one_one(int),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_28])).
0.84/1.09	tff('2', plain,
0.84/1.09	    (one_one(int) != one_one(int)
0.84/1.09	     | app_encode_app(int, $o, 
0.84/1.09	         app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	           app_encode_app(int, int, 
0.84/1.09	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	               app_encode_app(int, int, 
0.84/1.09	                 app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                   times_times(int), 
0.84/1.09	                   app_encode_app(int, int, number_number_of(int), 
0.84/1.09	                     app_encode_app(int, int, bit0, 
0.84/1.09	                       app_encode_app(int, int, bit0, 
0.84/1.09	                         app_encode_app(int, int, bit1, pls))))), m)), 
0.84/1.09	             one_one(int))), 
0.84/1.09	         app_encode_app(int, int, number_number_of(int), min))),
0.84/1.09	    inference('demod', [status(thm)], ['0', '1'])).
0.84/1.09	tff('3', plain,
0.84/1.09	    app_encode_app(int, $o, 
0.84/1.09	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	        app_encode_app(int, int, 
0.84/1.09	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	            app_encode_app(int, int, 
0.84/1.09	              app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                times_times(int), 
0.84/1.09	                app_encode_app(int, int, number_number_of(int), 
0.84/1.09	                  app_encode_app(int, int, bit0, 
0.84/1.09	                    app_encode_app(int, int, bit0, 
0.84/1.09	                      app_encode_app(int, int, bit1, pls))))), m)), 
0.84/1.09	          one_one(int))), 
0.84/1.09	      app_encode_app(int, int, number_number_of(int), min)),
0.84/1.09	    inference('simplify', [status(thm)], ['2'])).
0.84/1.09	tff(zf_stmt_65, axiom,
0.84/1.09	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
0.84/1.09	tff('4', plain,
0.84/1.09	    ![X73 : int]: app_encode_app(int, int, number_number_of(int), X73) = X73,
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_65])).
0.84/1.09	tff('5', plain,
0.84/1.09	    app_encode_app(int, $o, 
0.84/1.09	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	        app_encode_app(int, int, 
0.84/1.09	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	            app_encode_app(int, int, 
0.84/1.09	              app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                times_times(int), 
0.84/1.09	                app_encode_app(int, int, bit0, 
0.84/1.09	                  app_encode_app(int, int, bit0, 
0.84/1.09	                    app_encode_app(int, int, bit1, pls)))), m)), 
0.84/1.09	          one_one(int))), min),
0.84/1.09	    inference('demod', [status(thm)], ['3', '4', '4'])).
0.84/1.09	tff(zf_stmt_126, axiom, (comm_semiring_1(int))).
0.84/1.09	tff('6', plain, comm_semiring_1(int),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_126])).
0.84/1.09	tff(zf_stmt_108, axiom,
0.84/1.09	  (![A:$tType]:
0.84/1.09	     (comm_semiring_1(A) =>
0.84/1.09	      (![C:A,A1:A]:
0.84/1.09	         (app_encode_app(A,A,
0.84/1.09	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),A1),
0.84/1.09	                         C) =
0.84/1.09	          app_encode_app(A,A,
0.84/1.09	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),C),
0.84/1.09	                         A1)))))).
0.84/1.09	tff('7', plain,
0.84/1.09	    ![X162 : $tType, X163 : X162, X164 : X162]:
0.84/1.09	      (app_encode_app(X162, X162, 
0.84/1.09	         app_encode_app(X162, app_encode_fun(X162, X162), plus_plus(X162), 
0.84/1.09	           X164), X163)
0.84/1.09	        = app_encode_app(X162, X162, 
0.84/1.09	            app_encode_app(X162, app_encode_fun(X162, X162), 
0.84/1.09	              plus_plus(X162), X163), X164)
0.84/1.09	       | ~ comm_semiring_1(X162)),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_108])).
0.84/1.09	tff('8', plain,
0.84/1.09	    ![X0 : int, X1 : int]:
0.84/1.09	      (~ $true
0.84/1.09	       | app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
0.84/1.09	           X0)
0.84/1.09	          = app_encode_app(int, int, 
0.84/1.09	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	                X0), X1)),
0.84/1.09	    inference('sup-', [status(thm)], ['6', '7'])).
0.84/1.09	tff('9', plain,
0.84/1.09	    ![X0 : int, X1 : int]:
0.84/1.09	      app_encode_app(int, int, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
0.84/1.09	        X0)
0.84/1.09	       = app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
0.84/1.09	           X1),
0.84/1.09	    inference('simplify', [status(thm)], ['8'])).
0.84/1.09	tff(zf_stmt_78, axiom,
0.84/1.09	  (![K:int]:
0.84/1.09	     (app_encode_app(int,int,bit1,K) =
0.84/1.09	      app_encode_app(int,int,
0.84/1.09	                     app_encode_app(int,app_encode_fun(int,int),
0.84/1.09	                                    plus_plus(int),
0.84/1.09	                                    app_encode_app(int,int,
0.84/1.09	                                                   app_encode_app(int,
0.84/1.09	                                                                  app_encode_fun(
0.84/1.09	                                                                  int,int),
0.84/1.09	                                                                  plus_plus(
0.84/1.09	                                                                  int),
0.84/1.09	                                                                  one_one(
0.84/1.09	                                                                  int)),
0.84/1.09	                                                   K)),
0.84/1.09	                     K)))).
0.84/1.09	tff('10', plain,
0.84/1.09	    ![X98 : int]:
0.84/1.09	      app_encode_app(int, int, bit1, X98)
0.84/1.09	       = app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	             app_encode_app(int, int, 
0.84/1.09	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	                 one_one(int)), X98)), X98),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_78])).
0.84/1.09	tff('11', plain,
0.84/1.09	    ![X98 : int]:
0.84/1.09	      app_encode_app(int, int, bit1, X98)
0.84/1.09	       = app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X98), 
0.84/1.09	           app_encode_app(int, int, 
0.84/1.09	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	               one_one(int)), X98)),
0.84/1.09	    inference('demod', [status(thm)], ['10', '9'])).
0.84/1.09	tff('12', plain,
0.84/1.09	    ![X0 : int]:
0.84/1.09	      app_encode_app(int, int, bit1, X0)
0.84/1.09	       = app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
0.84/1.09	           app_encode_app(int, int, 
0.84/1.09	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	               X0), one_one(int))),
0.84/1.09	    inference('sup+', [status(thm)], ['9', '11'])).
0.84/1.09	tff(zf_stmt_67, axiom,
0.84/1.09	  (![K:int]:
0.84/1.09	     (app_encode_app(int,int,
0.84/1.09	                     app_encode_app(int,app_encode_fun(int,int),
0.84/1.09	                                    plus_plus(int),pls),
0.84/1.09	                     K) =
0.84/1.09	      K))).
0.84/1.09	tff('13', plain,
0.84/1.09	    ![X75 : int]:
0.84/1.09	      app_encode_app(int, int, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
0.84/1.09	        X75)
0.84/1.09	       = X75,
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_67])).
0.84/1.09	tff(zf_stmt_129, axiom, (number_ring(int))).
0.84/1.09	tff('14', plain, number_ring(int),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_129])).
0.84/1.09	tff(zf_stmt_86, axiom,
0.84/1.09	  (![A:$tType]:
0.84/1.09	     (number_ring(A) =>
0.84/1.09	      (![W1:int]:
0.84/1.09	         (app_encode_app(A,A,
0.84/1.09	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
0.84/1.09	                                        app_encode_app(A,A,
0.84/1.09	                                                       app_encode_app(
0.84/1.09	                                                       A,app_encode_fun(A,A),
0.84/1.09	                                                       plus_plus(A),
0.84/1.09	                                                       one_one(A)),one_one(A))),
0.84/1.09	                         app_encode_app(int,A,number_number_of(A),W1)) =
0.84/1.09	          app_encode_app(int,A,number_number_of(A),
0.84/1.09	                         app_encode_app(int,int,bit0,W1))))))).
0.84/1.09	tff('15', plain,
0.84/1.09	    ![X111 : $tType, X112 : int]:
0.84/1.09	      (app_encode_app(X111, X111, 
0.84/1.09	         app_encode_app(X111, app_encode_fun(X111, X111), times_times(X111), 
0.84/1.09	           app_encode_app(X111, X111, 
0.84/1.09	             app_encode_app(X111, app_encode_fun(X111, X111), 
0.84/1.09	               plus_plus(X111), one_one(X111)), one_one(X111))), 
0.84/1.09	         app_encode_app(int, X111, number_number_of(X111), X112))
0.84/1.09	        = app_encode_app(int, X111, number_number_of(X111), 
0.84/1.09	            app_encode_app(int, int, bit0, X112))
0.84/1.09	       | ~ number_ring(X111)),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_86])).
0.84/1.09	tff('16', plain,
0.84/1.09	    ![X0 : int]:
0.84/1.09	      (~ $true
0.84/1.09	       | app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	             app_encode_app(int, int, 
0.84/1.09	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	                 one_one(int)), one_one(int))), 
0.84/1.09	           app_encode_app(int, int, number_number_of(int), X0))
0.84/1.09	          = app_encode_app(int, int, number_number_of(int), 
0.84/1.09	              app_encode_app(int, int, bit0, X0))),
0.84/1.09	    inference('sup-', [status(thm)], ['14', '15'])).
0.84/1.09	tff('17', plain,
0.84/1.09	    ![X0 : int]:
0.84/1.09	      (~ $true
0.84/1.09	       | app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	             app_encode_app(int, int, 
0.84/1.09	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	                 one_one(int)), one_one(int))), X0)
0.84/1.09	          = app_encode_app(int, int, bit0, X0)),
0.84/1.09	    inference('demod', [status(thm)], ['16', '4', '4'])).
0.84/1.09	tff('18', plain,
0.84/1.09	    ![X0 : int]:
0.84/1.09	      app_encode_app(int, int, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	          app_encode_app(int, int, 
0.84/1.09	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	              one_one(int)), one_one(int))), X0)
0.84/1.09	       = app_encode_app(int, int, bit0, X0),
0.84/1.09	    inference('simplify', [status(thm)], ['17'])).
0.84/1.09	tff(zf_stmt_68, axiom,
0.84/1.09	  (![K:int]:
0.84/1.09	     (app_encode_app(int,int,bit0,K) =
0.84/1.09	      app_encode_app(int,int,
0.84/1.09	                     app_encode_app(int,app_encode_fun(int,int),
0.84/1.09	                                    plus_plus(int),K),
0.84/1.09	                     K)))).
0.84/1.09	tff('19', plain,
0.84/1.09	    ![X76 : int]:
0.84/1.09	      app_encode_app(int, int, bit0, X76)
0.84/1.09	       = app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X76), 
0.84/1.09	           X76),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_68])).
0.84/1.09	tff('20', plain,
0.84/1.09	    ![X76 : int]:
0.84/1.09	      app_encode_app(int, int, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	          app_encode_app(int, int, 
0.84/1.09	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	              one_one(int)), one_one(int))), X76)
0.84/1.09	       = app_encode_app(int, int, 
0.84/1.09	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X76), 
0.84/1.09	           X76),
0.84/1.09	    inference('demod', [status(thm)], ['19', '18'])).
0.84/1.09	tff('21', plain,
0.84/1.09	    app_encode_app(int, $o, 
0.84/1.09	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	        app_encode_app(int, int, 
0.84/1.09	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	            one_one(int)), 
0.84/1.09	          app_encode_app(int, int, 
0.84/1.09	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.84/1.09	              app_encode_app(int, int, 
0.84/1.09	                app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                  times_times(int), 
0.84/1.09	                  app_encode_app(int, int, 
0.84/1.09	                    app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                      plus_plus(int), one_one(int)), one_one(int))), 
0.84/1.09	                app_encode_app(int, int, 
0.84/1.09	                  app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                    plus_plus(int), one_one(int)), one_one(int)))), m))), 
0.84/1.09	      min),
0.84/1.09	    inference('demod', [status(thm)],
0.84/1.09	              ['5', '12', '13', '13', '18', '20', '18', '9'])).
0.84/1.09	tff(zf_stmt_139, conjecture,
0.84/1.09	  (app_encode_app(int,$o,
0.84/1.09	                  app_encode_app(int,app_encode_fun(int,$o),quadRes,
0.84/1.09	                                 app_encode_app(int,int,
0.84/1.09	                                                app_encode_app(int,
0.84/1.09	                                                               app_encode_fun(
0.84/1.09	                                                               int,int),
0.84/1.09	                                                               plus_plus(int),
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,
0.84/1.09	                                                               app_encode_fun(
0.84/1.09	                                                               int,int),
0.84/1.09	                                                               times_times(
0.84/1.09	                                                               int),
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,
0.84/1.09	                                                               number_number_of(
0.84/1.09	                                                               int),
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,bit0,
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,bit0,
0.84/1.09	                                                               app_encode_app(
0.84/1.09	                                                               int,int,bit1,
0.84/1.09	                                                               pls))))),m)),
0.84/1.09	                                                one_one(int))),
0.84/1.09	                  app_encode_app(int,int,number_number_of(int),min)))).
0.84/1.09	tff(zf_stmt_0, negated_conjecture,
0.84/1.09	  (~
0.84/1.09	    app_encode_app(int,$o,
0.84/1.09	                   app_encode_app(int,app_encode_fun(int,$o),quadRes,
0.84/1.09	                                  app_encode_app(int,int,
0.84/1.09	                                                 app_encode_app(int,
0.84/1.09	                                                                app_encode_fun(
0.84/1.09	                                                                int,int),
0.84/1.09	                                                                plus_plus(
0.84/1.09	                                                                int),
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,
0.84/1.09	                                                                app_encode_fun(
0.84/1.09	                                                                int,int),
0.84/1.09	                                                                times_times(
0.84/1.09	                                                                int),
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,
0.84/1.09	                                                                number_number_of(
0.84/1.09	                                                                int),
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,bit0,
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,bit0,
0.84/1.09	                                                                app_encode_app(
0.84/1.09	                                                                int,int,bit1,
0.84/1.09	                                                                pls))))),m)),
0.84/1.09	                                                 one_one(int))),
0.84/1.09	                   app_encode_app(int,int,number_number_of(int),min)))).
0.84/1.09	tff('22', plain,
0.84/1.09	    ~ app_encode_app(int, $o, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	          app_encode_app(int, int, 
0.84/1.09	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	              app_encode_app(int, int, 
0.84/1.09	                app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                  times_times(int), 
0.84/1.09	                  app_encode_app(int, int, number_number_of(int), 
0.84/1.09	                    app_encode_app(int, int, bit0, 
0.84/1.09	                      app_encode_app(int, int, bit0, 
0.84/1.09	                        app_encode_app(int, int, bit1, pls))))), m)), 
0.84/1.09	            one_one(int))), 
0.84/1.09	        app_encode_app(int, int, number_number_of(int), min)),
0.84/1.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.84/1.09	tff('23', plain,
0.84/1.09	    ~ app_encode_app(int, $o, 
0.84/1.09	        app_encode_app(int, app_encode_fun(int, $o), quadRes, 
0.84/1.09	          app_encode_app(int, int, 
0.84/1.09	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.84/1.09	              one_one(int)), 
0.84/1.09	            app_encode_app(int, int, 
0.84/1.09	              app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                times_times(int), 
0.84/1.09	                app_encode_app(int, int, 
0.84/1.09	                  app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                    times_times(int), 
0.84/1.09	                    app_encode_app(int, int, 
0.84/1.09	                      app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                        plus_plus(int), one_one(int)), one_one(int))), 
0.84/1.09	                  app_encode_app(int, int, 
0.84/1.09	                    app_encode_app(int, app_encode_fun(int, int), 
0.84/1.09	                      plus_plus(int), one_one(int)), one_one(int)))), m))), 
0.84/1.09	        min),
0.84/1.09	    inference('demod', [status(thm)],
0.84/1.09	              ['22', '12', '13', '13', '18', '20', '18', '4', '9', '4'])).
0.84/1.09	tff('24', plain, ~ $true, inference('sup-', [status(thm)], ['21', '23'])).
0.84/1.09	tff('25', plain, $false, inference('simplify', [status(thm)], ['24'])).
0.84/1.09	
0.84/1.09	% SZS output end Refutation
0.84/1.09	EOF
