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    : kbo
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n035.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:47:08 CST 2018
3.54/3.76	% done 859 iterations in 3.562s
3.54/3.76	% SZS status Theorem for 'stdin'
3.54/3.76	% SZS output start Refutation
3.54/3.76	tff(zf_stmt_28, axiom,
3.54/3.76	  ((~
3.54/3.76	     app_encode_app(int,$o,
3.54/3.76	                    app_encode_app(int,app_encode_fun(int,$o),quadRes,
3.54/3.76	                                   app_encode_app(int,int,
3.54/3.76	                                                  app_encode_app(int,
3.54/3.76	                                                                 app_encode_fun(
3.54/3.76	                                                                 int,int),
3.54/3.76	                                                                 plus_plus(
3.54/3.76	                                                                 int),
3.54/3.76	                                                                 app_encode_app(
3.54/3.76	                                                                 int,int,
3.54/3.76	                                                                 app_encode_app(
3.54/3.76	                                                                 int,
3.54/3.76	                                                                 app_encode_fun(
3.54/3.76	                                                                 int,int),
3.54/3.76	                                                                 times_times(
3.54/3.76	                                                                 int),
3.54/3.76	                                                                 app_encode_app(
3.54/3.76	                                                                 int,int,
3.54/3.76	                                                                 number_number_of(
3.54/3.76	                                                                 int),
3.54/3.76	                                                                 app_encode_app(
3.54/3.76	                                                                 int,int,
3.54/3.76	                                                                 bit0,
3.54/3.76	                                                                 app_encode_app(
3.54/3.76	                                                                 int,int,
3.54/3.76	                                                                 bit0,
3.54/3.76	                                                                 app_encode_app(
3.54/3.76	                                                                 int,int,
3.54/3.76	                                                                 bit1,pls))))),
3.54/3.76	                                                                 m)),
3.54/3.76	                                                  one_one(int))),
3.54/3.76	                    app_encode_app(int,int,number_number_of(int),min))) =>
3.54/3.76	   (app_encode_app(int,int,
3.54/3.76	                   app_encode_app(int,app_encode_fun(int,int),legendre,
3.54/3.76	                                  app_encode_app(int,int,
3.54/3.76	                                                 number_number_of(int),min)),
3.54/3.76	                   app_encode_app(int,int,
3.54/3.76	                                  app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                                 plus_plus(int),
3.54/3.76	                                                 app_encode_app(int,int,
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,
3.54/3.76	                                                                app_encode_fun(
3.54/3.76	                                                                int,int),
3.54/3.76	                                                                times_times(
3.54/3.76	                                                                int),
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,
3.54/3.76	                                                                number_number_of(
3.54/3.76	                                                                int),
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,bit0,
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,bit0,
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,bit1,
3.54/3.76	                                                                pls))))),m)),
3.54/3.76	                                  one_one(int))) !=
3.54/3.76	    one_one(int)))).
3.54/3.76	tff('0', plain,
3.54/3.76	    (app_encode_app(int, int, 
3.54/3.76	       app_encode_app(int, app_encode_fun(int, int), legendre, 
3.54/3.76	         app_encode_app(int, int, number_number_of(int), min)), 
3.54/3.76	       app_encode_app(int, int, 
3.54/3.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	           app_encode_app(int, int, 
3.54/3.76	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	               app_encode_app(int, int, number_number_of(int), 
3.54/3.76	                 app_encode_app(int, int, bit0, 
3.54/3.76	                   app_encode_app(int, int, bit0, 
3.54/3.76	                     app_encode_app(int, int, bit1, pls))))), m)), 
3.54/3.76	         one_one(int)))
3.54/3.76	      != one_one(int)
3.54/3.76	     | app_encode_app(int, $o, 
3.54/3.76	         app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	           app_encode_app(int, int, 
3.54/3.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	               app_encode_app(int, int, 
3.54/3.76	                 app_encode_app(int, app_encode_fun(int, int), 
3.54/3.76	                   times_times(int), 
3.54/3.76	                   app_encode_app(int, int, number_number_of(int), 
3.54/3.76	                     app_encode_app(int, int, bit0, 
3.54/3.76	                       app_encode_app(int, int, bit0, 
3.54/3.76	                         app_encode_app(int, int, bit1, pls))))), m)), 
3.54/3.76	             one_one(int))), 
3.54/3.76	         app_encode_app(int, int, number_number_of(int), min))),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_28])).
3.54/3.76	tff(zf_stmt_27, axiom,
3.54/3.76	  (app_encode_app(int,int,
3.54/3.76	                  app_encode_app(int,app_encode_fun(int,int),legendre,
3.54/3.76	                                 app_encode_app(int,int,
3.54/3.76	                                                number_number_of(int),min)),
3.54/3.76	                  app_encode_app(int,int,
3.54/3.76	                                 app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                                plus_plus(int),
3.54/3.76	                                                app_encode_app(int,int,
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,
3.54/3.76	                                                               app_encode_fun(
3.54/3.76	                                                               int,int),
3.54/3.76	                                                               times_times(
3.54/3.76	                                                               int),
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,
3.54/3.76	                                                               number_number_of(
3.54/3.76	                                                               int),
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,bit0,
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,bit0,
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,bit1,
3.54/3.76	                                                               pls))))),m)),
3.54/3.76	                                 one_one(int))) =
3.54/3.76	   one_one(int))).
3.54/3.76	tff('1', plain,
3.54/3.76	    app_encode_app(int, int, 
3.54/3.76	      app_encode_app(int, app_encode_fun(int, int), legendre, 
3.54/3.76	        app_encode_app(int, int, number_number_of(int), min)), 
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	          app_encode_app(int, int, 
3.54/3.76	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	              app_encode_app(int, int, number_number_of(int), 
3.54/3.76	                app_encode_app(int, int, bit0, 
3.54/3.76	                  app_encode_app(int, int, bit0, 
3.54/3.76	                    app_encode_app(int, int, bit1, pls))))), m)), 
3.54/3.76	        one_one(int)))
3.54/3.76	     = one_one(int),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_27])).
3.54/3.76	tff('2', plain,
3.54/3.76	    (one_one(int) != one_one(int)
3.54/3.76	     | app_encode_app(int, $o, 
3.54/3.76	         app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	           app_encode_app(int, int, 
3.54/3.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	               app_encode_app(int, int, 
3.54/3.76	                 app_encode_app(int, app_encode_fun(int, int), 
3.54/3.76	                   times_times(int), 
3.54/3.76	                   app_encode_app(int, int, number_number_of(int), 
3.54/3.76	                     app_encode_app(int, int, bit0, 
3.54/3.76	                       app_encode_app(int, int, bit0, 
3.54/3.76	                         app_encode_app(int, int, bit1, pls))))), m)), 
3.54/3.76	             one_one(int))), 
3.54/3.76	         app_encode_app(int, int, number_number_of(int), min))),
3.54/3.76	    inference('demod', [status(thm)], ['0', '1'])).
3.54/3.76	tff('3', plain,
3.54/3.76	    app_encode_app(int, $o, 
3.54/3.76	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	        app_encode_app(int, int, 
3.54/3.76	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	            app_encode_app(int, int, 
3.54/3.76	              app_encode_app(int, app_encode_fun(int, int), 
3.54/3.76	                times_times(int), 
3.54/3.76	                app_encode_app(int, int, number_number_of(int), 
3.54/3.76	                  app_encode_app(int, int, bit0, 
3.54/3.76	                    app_encode_app(int, int, bit0, 
3.54/3.76	                      app_encode_app(int, int, bit1, pls))))), m)), 
3.54/3.76	          one_one(int))), 
3.54/3.76	      app_encode_app(int, int, number_number_of(int), min)),
3.54/3.76	    inference('simplify', [status(thm)], ['2'])).
3.54/3.76	tff(zf_stmt_64, axiom,
3.54/3.76	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
3.54/3.76	tff('4', plain,
3.54/3.76	    ![X69 : int]: app_encode_app(int, int, number_number_of(int), X69) = X69,
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_64])).
3.54/3.76	tff('5', plain,
3.54/3.76	    app_encode_app(int, $o, 
3.54/3.76	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	        app_encode_app(int, int, 
3.54/3.76	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	            app_encode_app(int, int, 
3.54/3.76	              app_encode_app(int, app_encode_fun(int, int), 
3.54/3.76	                times_times(int), 
3.54/3.76	                app_encode_app(int, int, bit0, 
3.54/3.76	                  app_encode_app(int, int, bit0, 
3.54/3.76	                    app_encode_app(int, int, bit1, pls)))), m)), 
3.54/3.76	          one_one(int))), min),
3.54/3.76	    inference('demod', [status(thm)], ['3', '4', '4'])).
3.54/3.76	tff(zf_stmt_82, axiom,
3.54/3.76	  (one_one(int) =
3.54/3.76	   app_encode_app(int,int,number_number_of(int),
3.54/3.76	                  app_encode_app(int,int,bit1,pls)))).
3.54/3.76	tff('6', plain,
3.54/3.76	    one_one(int)
3.54/3.76	     = app_encode_app(int, int, number_number_of(int), 
3.54/3.76	         app_encode_app(int, int, bit1, pls)),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_82])).
3.54/3.76	tff('7', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
3.54/3.76	    inference('demod', [status(thm)], ['6', '4'])).
3.54/3.76	tff(zf_stmt_53, axiom,
3.54/3.76	  (![L:int,K:int]:
3.54/3.76	     (app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    times_times(int),
3.54/3.76	                                    app_encode_app(int,int,bit0,K)),
3.54/3.76	                     L) =
3.54/3.76	      app_encode_app(int,int,bit0,
3.54/3.76	                     app_encode_app(int,int,
3.54/3.76	                                    app_encode_app(int,
3.54/3.76	                                                   app_encode_fun(int,int),
3.54/3.76	                                                   times_times(int),K),
3.54/3.76	                                    L))))).
3.54/3.76	tff('8', plain,
3.54/3.76	    ![X51 : int, X52 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	          app_encode_app(int, int, bit0, X51)), X52)
3.54/3.76	       = app_encode_app(int, int, bit0, 
3.54/3.76	           app_encode_app(int, int, 
3.54/3.76	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	               X51), X52)),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_53])).
3.54/3.76	tff(zf_stmt_52, axiom,
3.54/3.76	  (![W1:int]:
3.54/3.76	     (app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    times_times(int),pls),
3.54/3.76	                     W1) =
3.54/3.76	      pls))).
3.54/3.76	tff('9', plain,
3.54/3.76	    ![X50 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
3.54/3.76	        X50)
3.54/3.76	       = pls,
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_52])).
3.54/3.76	tff(zf_stmt_33, axiom,
3.54/3.76	  (![L:int,K:int]:
3.54/3.76	     (app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    times_times(int),
3.54/3.76	                                    app_encode_app(int,int,bit1,K)),
3.54/3.76	                     L) =
3.54/3.76	      app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    plus_plus(int),
3.54/3.76	                                    app_encode_app(int,int,bit0,
3.54/3.76	                                                   app_encode_app(int,int,
3.54/3.76	                                                                  app_encode_app(
3.54/3.76	                                                                  int,
3.54/3.76	                                                                  app_encode_fun(
3.54/3.76	                                                                  int,int),
3.54/3.76	                                                                  times_times(
3.54/3.76	                                                                  int),K),L))),
3.54/3.76	                     L)))).
3.54/3.76	tff('10', plain,
3.54/3.76	    ![X5 : int, X6 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	          app_encode_app(int, int, bit1, X5)), X6)
3.54/3.76	       = app_encode_app(int, int, 
3.54/3.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	             app_encode_app(int, int, bit0, 
3.54/3.76	               app_encode_app(int, int, 
3.54/3.76	                 app_encode_app(int, app_encode_fun(int, int), 
3.54/3.76	                   times_times(int), X5), X6))), X6),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_33])).
3.54/3.76	tff('11', plain,
3.54/3.76	    ![X0 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	          app_encode_app(int, int, bit1, pls)), X0)
3.54/3.76	       = app_encode_app(int, int, 
3.54/3.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	             app_encode_app(int, int, bit0, pls)), X0),
3.54/3.76	    inference('sup+', [status(thm)], ['9', '10'])).
3.54/3.76	tff(zf_stmt_51, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
3.54/3.76	tff('12', plain, app_encode_app(int, int, bit0, pls) = pls,
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_51])).
3.54/3.76	tff('13', plain,
3.54/3.76	    ![X0 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	          one_one(int)), X0)
3.54/3.76	       = app_encode_app(int, int, 
3.54/3.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
3.54/3.76	           X0),
3.54/3.76	    inference('demod', [status(thm)], ['11', '7', '12'])).
3.54/3.76	tff(zf_stmt_66, axiom,
3.54/3.76	  (![K:int]:
3.54/3.76	     (app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    plus_plus(int),pls),
3.54/3.76	                     K) =
3.54/3.76	      K))).
3.54/3.76	tff('14', plain,
3.54/3.76	    ![X71 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
3.54/3.76	        X71)
3.54/3.76	       = X71,
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_66])).
3.54/3.76	tff('15', plain,
3.54/3.76	    ![X0 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.54/3.76	          one_one(int)), X0)
3.54/3.76	       = X0,
3.54/3.76	    inference('demod', [status(thm)], ['13', '14'])).
3.54/3.76	tff(zf_stmt_65, axiom,
3.54/3.76	  (![K:int]:
3.54/3.76	     (app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    plus_plus(int),K),
3.54/3.76	                     pls) =
3.54/3.76	      K))).
3.54/3.76	tff('16', plain,
3.54/3.76	    ![X70 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X70), 
3.54/3.76	        pls)
3.54/3.76	       = X70,
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_65])).
3.54/3.76	tff(zf_stmt_108, axiom,
3.54/3.76	  (![A:$tType]:
3.54/3.76	     (comm_semiring_1(A) =>
3.54/3.76	      (![D1:A,C:A,A1:A]:
3.54/3.76	         (app_encode_app(A,A,
3.54/3.76	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),A1),
3.54/3.76	                         app_encode_app(A,A,
3.54/3.76	                                        app_encode_app(A,app_encode_fun(A,A),
3.54/3.76	                                                       plus_plus(A),C),
3.54/3.76	                                        D1)) =
3.54/3.76	          app_encode_app(A,A,
3.54/3.76	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),C),
3.54/3.76	                         app_encode_app(A,A,
3.54/3.76	                                        app_encode_app(A,app_encode_fun(A,A),
3.54/3.76	                                                       plus_plus(A),A1),
3.54/3.76	                                        D1))))))).
3.54/3.76	tff('17', plain,
3.54/3.76	    ![X161 : $tType, X162 : X161, X163 : X161, X164 : X161]:
3.54/3.76	      (app_encode_app(X161, X161, 
3.54/3.76	         app_encode_app(X161, app_encode_fun(X161, X161), plus_plus(X161), 
3.54/3.76	           X163), 
3.54/3.76	         app_encode_app(X161, X161, 
3.54/3.76	           app_encode_app(X161, app_encode_fun(X161, X161), plus_plus(X161), 
3.54/3.76	             X162), X164))
3.54/3.76	        = app_encode_app(X161, X161, 
3.54/3.76	            app_encode_app(X161, app_encode_fun(X161, X161), 
3.54/3.76	              plus_plus(X161), X162), 
3.54/3.76	            app_encode_app(X161, X161, 
3.54/3.76	              app_encode_app(X161, app_encode_fun(X161, X161), 
3.54/3.76	                plus_plus(X161), X163), X164))
3.54/3.76	       | ~ comm_semiring_1(X161)),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_108])).
3.54/3.76	tff('18', plain,
3.54/3.76	    ![X0 : int, X1 : int]:
3.54/3.76	      (app_encode_app(int, int, 
3.54/3.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
3.54/3.76	         X0)
3.54/3.76	        = app_encode_app(int, int, 
3.54/3.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
3.54/3.76	            app_encode_app(int, int, 
3.54/3.76	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	                X1), pls))
3.54/3.76	       | ~ comm_semiring_1(int)),
3.54/3.76	    inference('sup+', [status(thm)], ['16', '17'])).
3.54/3.76	tff(zf_stmt_125, axiom, (comm_semiring_1(int))).
3.54/3.76	tff('19', plain, comm_semiring_1(int),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_125])).
3.54/3.76	tff('20', plain,
3.54/3.76	    ![X0 : int, X1 : int]:
3.54/3.76	      (app_encode_app(int, int, 
3.54/3.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
3.54/3.76	         X0)
3.54/3.76	        = app_encode_app(int, int, 
3.54/3.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
3.54/3.76	            X1)
3.54/3.76	       | ~ $true),
3.54/3.76	    inference('demod', [status(thm)], ['18', '16', '19'])).
3.54/3.76	tff('21', plain,
3.54/3.76	    ![X0 : int, X1 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
3.54/3.76	        X0)
3.54/3.76	       = app_encode_app(int, int, 
3.54/3.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
3.54/3.76	           X1),
3.54/3.76	    inference('simplify', [status(thm)], ['20'])).
3.54/3.76	tff(zf_stmt_36, axiom,
3.54/3.76	  (![L:int,K:int]:
3.54/3.76	     (app_encode_app(int,int,
3.54/3.76	                     app_encode_app(int,app_encode_fun(int,int),
3.54/3.76	                                    plus_plus(int),
3.54/3.76	                                    app_encode_app(int,int,bit1,K)),
3.54/3.76	                     app_encode_app(int,int,bit0,L)) =
3.54/3.76	      app_encode_app(int,int,bit1,
3.54/3.76	                     app_encode_app(int,int,
3.54/3.76	                                    app_encode_app(int,
3.54/3.76	                                                   app_encode_fun(int,int),
3.54/3.76	                                                   plus_plus(int),K),
3.54/3.76	                                    L))))).
3.54/3.76	tff('22', plain,
3.54/3.76	    ![X10 : int, X11 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	          app_encode_app(int, int, bit1, X10)), 
3.54/3.76	        app_encode_app(int, int, bit0, X11))
3.54/3.76	       = app_encode_app(int, int, bit1, 
3.54/3.76	           app_encode_app(int, int, 
3.54/3.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	               X10), X11)),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_36])).
3.54/3.76	tff('23', plain,
3.54/3.76	    ![X0 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	          one_one(int)), app_encode_app(int, int, bit0, X0))
3.54/3.76	       = app_encode_app(int, int, bit1, 
3.54/3.76	           app_encode_app(int, int, 
3.54/3.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	               pls), X0)),
3.54/3.76	    inference('sup+', [status(thm)], ['7', '22'])).
3.54/3.76	tff('24', plain,
3.54/3.76	    ![X0 : int]:
3.54/3.76	      app_encode_app(int, int, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	          one_one(int)), app_encode_app(int, int, bit0, X0))
3.54/3.76	       = app_encode_app(int, int, bit1, X0),
3.54/3.76	    inference('demod', [status(thm)], ['23', '14'])).
3.54/3.76	tff('25', plain,
3.54/3.76	    app_encode_app(int, $o, 
3.54/3.76	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
3.54/3.76	      min),
3.54/3.76	    inference('demod', [status(thm)], ['5', '7', '8', '8', '15', '21', '24'])).
3.54/3.76	tff(zf_stmt_138, conjecture,
3.54/3.76	  (app_encode_app(int,$o,
3.54/3.76	                  app_encode_app(int,app_encode_fun(int,$o),quadRes,
3.54/3.76	                                 app_encode_app(int,int,
3.54/3.76	                                                app_encode_app(int,
3.54/3.76	                                                               app_encode_fun(
3.54/3.76	                                                               int,int),
3.54/3.76	                                                               plus_plus(int),
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,
3.54/3.76	                                                               app_encode_fun(
3.54/3.76	                                                               int,int),
3.54/3.76	                                                               times_times(
3.54/3.76	                                                               int),
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,
3.54/3.76	                                                               number_number_of(
3.54/3.76	                                                               int),
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,bit0,
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,bit0,
3.54/3.76	                                                               app_encode_app(
3.54/3.76	                                                               int,int,bit1,
3.54/3.76	                                                               pls))))),m)),
3.54/3.76	                                                one_one(int))),
3.54/3.76	                  app_encode_app(int,int,number_number_of(int),min)))).
3.54/3.76	tff(zf_stmt_0, negated_conjecture,
3.54/3.76	  (~
3.54/3.76	    app_encode_app(int,$o,
3.54/3.76	                   app_encode_app(int,app_encode_fun(int,$o),quadRes,
3.54/3.76	                                  app_encode_app(int,int,
3.54/3.76	                                                 app_encode_app(int,
3.54/3.76	                                                                app_encode_fun(
3.54/3.76	                                                                int,int),
3.54/3.76	                                                                plus_plus(
3.54/3.76	                                                                int),
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,
3.54/3.76	                                                                app_encode_fun(
3.54/3.76	                                                                int,int),
3.54/3.76	                                                                times_times(
3.54/3.76	                                                                int),
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,
3.54/3.76	                                                                number_number_of(
3.54/3.76	                                                                int),
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,bit0,
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,bit0,
3.54/3.76	                                                                app_encode_app(
3.54/3.76	                                                                int,int,bit1,
3.54/3.76	                                                                pls))))),m)),
3.54/3.76	                                                 one_one(int))),
3.54/3.76	                   app_encode_app(int,int,number_number_of(int),min)))).
3.54/3.76	tff('26', plain,
3.54/3.76	    ~ app_encode_app(int, $o, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	          app_encode_app(int, int, 
3.54/3.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.54/3.76	              app_encode_app(int, int, 
3.54/3.76	                app_encode_app(int, app_encode_fun(int, int), 
3.54/3.76	                  times_times(int), 
3.54/3.76	                  app_encode_app(int, int, number_number_of(int), 
3.54/3.76	                    app_encode_app(int, int, bit0, 
3.54/3.76	                      app_encode_app(int, int, bit0, 
3.54/3.76	                        app_encode_app(int, int, bit1, pls))))), m)), 
3.54/3.76	            one_one(int))), 
3.54/3.76	        app_encode_app(int, int, number_number_of(int), min)),
3.54/3.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.54/3.76	tff('27', plain,
3.54/3.76	    ~ app_encode_app(int, $o, 
3.54/3.76	        app_encode_app(int, app_encode_fun(int, $o), quadRes, 
3.54/3.76	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
3.54/3.76	        min),
3.54/3.76	    inference('demod', [status(thm)],
3.54/3.76	              ['26', '7', '4', '8', '8', '15', '21', '24', '4'])).
3.54/3.76	tff('28', plain, ~ $true, inference('sup-', [status(thm)], ['25', '27'])).
3.54/3.76	tff('29', plain, $false, inference('simplify', [status(thm)], ['28'])).
3.54/3.76	
3.54/3.76	% SZS output end Refutation
3.54/3.76	EOF
