0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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   : n043.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 07:52:54 CST 2018
1.93/2.10	% done 933 iterations in 1.904s
1.93/2.10	% SZS status Theorem for 'stdin'
1.93/2.10	% SZS output start Refutation
1.94/2.11	tff(zf_stmt_34, axiom,
1.94/2.11	  (app_encode_app(int,int,
1.94/2.11	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.94/2.11	                                 app_encode_app(nat,int,
1.94/2.11	                                                app_encode_app(int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               nat,int),
1.94/2.11	                                                               power_power(
1.94/2.11	                                                               int),s),
1.94/2.11	                                                app_encode_app(int,nat,
1.94/2.11	                                                               number_number_of(
1.94/2.11	                                                               nat),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit1,
1.94/2.11	                                                               pls))))),
1.94/2.11	                  one_one(int)) =
1.94/2.11	   app_encode_app(int,int,
1.94/2.11	                  app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                 times_times(int),
1.94/2.11	                                 app_encode_app(int,int,
1.94/2.11	                                                app_encode_app(int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               int,int),
1.94/2.11	                                                               plus_plus(int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               int,int),
1.94/2.11	                                                               times_times(
1.94/2.11	                                                               int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,
1.94/2.11	                                                               number_number_of(
1.94/2.11	                                                               int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit1,
1.94/2.11	                                                               pls))))),m)),
1.94/2.11	                                                one_one(int))),
1.94/2.11	                  t))).
1.94/2.11	tff('0', plain,
1.94/2.11	    app_encode_app(int, int, 
1.94/2.11	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	        app_encode_app(nat, int, 
1.94/2.11	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
1.94/2.11	          app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	            app_encode_app(int, int, bit0, 
1.94/2.11	              app_encode_app(int, int, bit1, pls))))), one_one(int))
1.94/2.11	     = app_encode_app(int, int, 
1.94/2.11	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	           app_encode_app(int, int, 
1.94/2.11	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	               app_encode_app(int, int, 
1.94/2.11	                 app_encode_app(int, app_encode_fun(int, int), 
1.94/2.11	                   times_times(int), 
1.94/2.11	                   app_encode_app(int, int, number_number_of(int), 
1.94/2.11	                     app_encode_app(int, int, bit0, 
1.94/2.11	                       app_encode_app(int, int, bit0, 
1.94/2.11	                         app_encode_app(int, int, bit1, pls))))), m)), 
1.94/2.11	             one_one(int))), t),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_34])).
1.94/2.11	tff(zf_stmt_112, axiom,
1.94/2.11	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
1.94/2.11	tff('1', plain,
1.94/2.11	    ![X169 : int]:
1.94/2.11	      app_encode_app(int, int, number_number_of(int), X169) = X169,
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_112])).
1.94/2.11	tff('2', plain,
1.94/2.11	    app_encode_app(int, int, 
1.94/2.11	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	        app_encode_app(nat, int, 
1.94/2.11	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
1.94/2.11	          app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	            app_encode_app(int, int, bit0, 
1.94/2.11	              app_encode_app(int, int, bit1, pls))))), one_one(int))
1.94/2.11	     = app_encode_app(int, int, 
1.94/2.11	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	           app_encode_app(int, int, 
1.94/2.11	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	               app_encode_app(int, int, 
1.94/2.11	                 app_encode_app(int, app_encode_fun(int, int), 
1.94/2.11	                   times_times(int), 
1.94/2.11	                   app_encode_app(int, int, bit0, 
1.94/2.11	                     app_encode_app(int, int, bit0, 
1.94/2.11	                       app_encode_app(int, int, bit1, pls)))), m)), 
1.94/2.11	             one_one(int))), t),
1.94/2.11	    inference('demod', [status(thm)], ['0', '1'])).
1.94/2.11	tff(zf_stmt_117, axiom,
1.94/2.11	  (![K:int]:
1.94/2.11	     (app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    plus_plus(int),K),
1.94/2.11	                     pls) =
1.94/2.11	      K))).
1.94/2.11	tff('3', plain,
1.94/2.11	    ![X183 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X183), 
1.94/2.11	        pls)
1.94/2.11	       = X183,
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_117])).
1.94/2.11	tff(zf_stmt_128, axiom,
1.94/2.11	  (![K:int]:
1.94/2.11	     (app_encode_app(int,int,bit1,K) =
1.94/2.11	      app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    plus_plus(int),
1.94/2.11	                                    app_encode_app(int,int,
1.94/2.11	                                                   app_encode_app(int,
1.94/2.11	                                                                  app_encode_fun(
1.94/2.11	                                                                  int,int),
1.94/2.11	                                                                  plus_plus(
1.94/2.11	                                                                  int),
1.94/2.11	                                                                  one_one(
1.94/2.11	                                                                  int)),
1.94/2.11	                                                   K)),
1.94/2.11	                     K)))).
1.94/2.11	tff('4', plain,
1.94/2.11	    ![X206 : int]:
1.94/2.11	      app_encode_app(int, int, bit1, X206)
1.94/2.11	       = app_encode_app(int, int, 
1.94/2.11	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	             app_encode_app(int, int, 
1.94/2.11	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	                 one_one(int)), X206)), X206),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_128])).
1.94/2.11	tff('5', plain,
1.94/2.11	    app_encode_app(int, int, bit1, pls)
1.94/2.11	     = app_encode_app(int, int, 
1.94/2.11	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	           one_one(int)), pls),
1.94/2.11	    inference('sup+', [status(thm)], ['3', '4'])).
1.94/2.11	tff('6', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
1.94/2.11	    inference('demod', [status(thm)], ['5', '3'])).
1.94/2.11	tff(zf_stmt_41, axiom,
1.94/2.11	  (![B1:$tType]:
1.94/2.11	     ((monoid_mult(B1) & number(B1)) =>
1.94/2.11	      (![W:int]:
1.94/2.11	         (app_encode_app(nat,B1,
1.94/2.11	                         app_encode_app(B1,app_encode_fun(nat,B1),
1.94/2.11	                                        power_power(B1),
1.94/2.11	                                        app_encode_app(int,B1,
1.94/2.11	                                                       number_number_of(B1),W)),
1.94/2.11	                         app_encode_app(int,nat,number_number_of(nat),
1.94/2.11	                                        app_encode_app(int,int,bit0,
1.94/2.11	                                                       app_encode_app(
1.94/2.11	                                                       int,int,bit1,pls)))) =
1.94/2.11	          app_encode_app(B1,B1,
1.94/2.11	                         app_encode_app(B1,app_encode_fun(B1,B1),
1.94/2.11	                                        times_times(B1),
1.94/2.11	                                        app_encode_app(int,B1,
1.94/2.11	                                                       number_number_of(B1),W)),
1.94/2.11	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
1.94/2.11	tff('7', plain,
1.94/2.11	    ![X4 : $tType, X5 : int]:
1.94/2.11	      (app_encode_app(nat, X4, 
1.94/2.11	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), 
1.94/2.11	           app_encode_app(int, X4, number_number_of(X4), X5)), 
1.94/2.11	         app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	           app_encode_app(int, int, bit0, 
1.94/2.11	             app_encode_app(int, int, bit1, pls))))
1.94/2.11	        = app_encode_app(X4, X4, 
1.94/2.11	            app_encode_app(X4, app_encode_fun(X4, X4), times_times(X4), 
1.94/2.11	              app_encode_app(int, X4, number_number_of(X4), X5)), 
1.94/2.11	            app_encode_app(int, X4, number_number_of(X4), X5))
1.94/2.11	       | ~ number(X4)
1.94/2.11	       | ~ monoid_mult(X4)),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_41])).
1.94/2.11	tff('8', plain,
1.94/2.11	    ![X4 : $tType, X5 : int]:
1.94/2.11	      (app_encode_app(nat, X4, 
1.94/2.11	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), 
1.94/2.11	           app_encode_app(int, X4, number_number_of(X4), X5)), 
1.94/2.11	         app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	           app_encode_app(int, int, bit0, one_one(int))))
1.94/2.11	        = app_encode_app(X4, X4, 
1.94/2.11	            app_encode_app(X4, app_encode_fun(X4, X4), times_times(X4), 
1.94/2.11	              app_encode_app(int, X4, number_number_of(X4), X5)), 
1.94/2.11	            app_encode_app(int, X4, number_number_of(X4), X5))
1.94/2.11	       | ~ number(X4)
1.94/2.11	       | ~ monoid_mult(X4)),
1.94/2.11	    inference('demod', [status(thm)], ['7', '6'])).
1.94/2.11	tff('9', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      (app_encode_app(nat, int, 
1.94/2.11	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.94/2.11	         app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	           app_encode_app(int, int, bit0, one_one(int))))
1.94/2.11	        = app_encode_app(int, int, 
1.94/2.11	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	              app_encode_app(int, int, number_number_of(int), X0)), 
1.94/2.11	            app_encode_app(int, int, number_number_of(int), X0))
1.94/2.11	       | ~ monoid_mult(int)
1.94/2.11	       | ~ number(int)),
1.94/2.11	    inference('sup+', [status(thm)], ['1', '8'])).
1.94/2.11	tff(zf_stmt_134, axiom, (monoid_mult(int))).
1.94/2.11	tff('10', plain, monoid_mult(int),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_134])).
1.94/2.11	tff(zf_stmt_140, axiom, (number(int))).
1.94/2.11	tff('11', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_140])).
1.94/2.11	tff('12', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      (app_encode_app(nat, int, 
1.94/2.11	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.94/2.11	         app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	           app_encode_app(int, int, bit0, one_one(int))))
1.94/2.11	        = app_encode_app(int, int, 
1.94/2.11	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	              X0), X0)
1.94/2.11	       | ~ $true
1.94/2.11	       | ~ $true),
1.94/2.11	    inference('demod', [status(thm)], ['9', '1', '1', '10', '11'])).
1.94/2.11	tff('13', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      app_encode_app(nat, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.94/2.11	        app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	          app_encode_app(int, int, bit0, one_one(int))))
1.94/2.11	       = app_encode_app(int, int, 
1.94/2.11	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	             X0), X0),
1.94/2.11	    inference('simplify', [status(thm)], ['12'])).
1.94/2.11	tff(zf_stmt_67, axiom,
1.94/2.11	  (![L1:int,K:int]:
1.94/2.11	     (app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    times_times(int),
1.94/2.11	                                    app_encode_app(int,int,bit0,K)),
1.94/2.11	                     L1) =
1.94/2.11	      app_encode_app(int,int,bit0,
1.94/2.11	                     app_encode_app(int,int,
1.94/2.11	                                    app_encode_app(int,
1.94/2.11	                                                   app_encode_fun(int,int),
1.94/2.11	                                                   times_times(int),K),
1.94/2.11	                                    L1))))).
1.94/2.11	tff('14', plain,
1.94/2.11	    ![X51 : int, X52 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	          app_encode_app(int, int, bit0, X51)), X52)
1.94/2.11	       = app_encode_app(int, int, bit0, 
1.94/2.11	           app_encode_app(int, int, 
1.94/2.11	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	               X51), X52)),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_67])).
1.94/2.11	tff(zf_stmt_66, axiom,
1.94/2.11	  (![W:int]:
1.94/2.11	     (app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    times_times(int),pls),
1.94/2.11	                     W) =
1.94/2.11	      pls))).
1.94/2.11	tff('15', plain,
1.94/2.11	    ![X50 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.94/2.11	        X50)
1.94/2.11	       = pls,
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_66])).
1.94/2.11	tff(zf_stmt_46, axiom,
1.94/2.11	  (![L1:int,K:int]:
1.94/2.11	     (app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    times_times(int),
1.94/2.11	                                    app_encode_app(int,int,bit1,K)),
1.94/2.11	                     L1) =
1.94/2.11	      app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    plus_plus(int),
1.94/2.11	                                    app_encode_app(int,int,bit0,
1.94/2.11	                                                   app_encode_app(int,int,
1.94/2.11	                                                                  app_encode_app(
1.94/2.11	                                                                  int,
1.94/2.11	                                                                  app_encode_fun(
1.94/2.11	                                                                  int,int),
1.94/2.11	                                                                  times_times(
1.94/2.11	                                                                  int),K),L1))),
1.94/2.11	                     L1)))).
1.94/2.11	tff('16', plain,
1.94/2.11	    ![X12 : int, X13 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	          app_encode_app(int, int, bit1, X12)), X13)
1.94/2.11	       = app_encode_app(int, int, 
1.94/2.11	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	             app_encode_app(int, int, bit0, 
1.94/2.11	               app_encode_app(int, int, 
1.94/2.11	                 app_encode_app(int, app_encode_fun(int, int), 
1.94/2.11	                   times_times(int), X12), X13))), X13),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.94/2.11	tff('17', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	          app_encode_app(int, int, bit1, pls)), X0)
1.94/2.11	       = app_encode_app(int, int, 
1.94/2.11	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	             app_encode_app(int, int, bit0, pls)), X0),
1.94/2.11	    inference('sup+', [status(thm)], ['15', '16'])).
1.94/2.11	tff(zf_stmt_62, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.94/2.11	tff('18', plain, app_encode_app(int, int, bit0, pls) = pls,
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_62])).
1.94/2.11	tff(zf_stmt_118, axiom,
1.94/2.11	  (![K:int]:
1.94/2.11	     (app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    plus_plus(int),pls),
1.94/2.11	                     K) =
1.94/2.11	      K))).
1.94/2.11	tff('19', plain,
1.94/2.11	    ![X184 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.94/2.11	        X184)
1.94/2.11	       = X184,
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_118])).
1.94/2.11	tff('20', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	          one_one(int)), X0)
1.94/2.11	       = X0,
1.94/2.11	    inference('demod', [status(thm)], ['17', '6', '18', '19'])).
1.94/2.11	tff(zf_stmt_2, axiom,
1.94/2.11	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
1.94/2.11	     ((![Z:Alpha]:
1.94/2.11	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
1.94/2.11	      (X = Y)))).
1.94/2.11	tff('21', plain,
1.94/2.11	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
1.94/2.11	      X3 : app_encode_fun(X0, X1)]:
1.94/2.11	      (X3 = X2
1.94/2.11	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
1.94/2.11	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_2])).
1.94/2.11	tff('22', plain,
1.94/2.11	    ![X0 : app_encode_fun(int, int)]:
1.94/2.11	      (app_encode_app(int, int, X0, 
1.94/2.11	         sk_Z(int, int, number_number_of(int), X0))
1.94/2.11	        != sk_Z(int, int, number_number_of(int), X0)
1.94/2.11	       | X0 = number_number_of(int)),
1.94/2.11	    inference('sup-', [status(thm)], ['1', '21'])).
1.94/2.11	tff('23', plain,
1.94/2.11	    (sk_Z(int, int, number_number_of(int), 
1.94/2.11	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	         one_one(int)))
1.94/2.11	      != sk_Z(int, int, number_number_of(int), 
1.94/2.11	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	             one_one(int)))
1.94/2.11	     | app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	         one_one(int))
1.94/2.11	        = number_number_of(int)),
1.94/2.11	    inference('sup-', [status(thm)], ['20', '22'])).
1.94/2.11	tff('24', plain,
1.94/2.11	    app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	      one_one(int))
1.94/2.11	     = number_number_of(int),
1.94/2.11	    inference('simplify', [status(thm)], ['23'])).
1.94/2.11	tff(zf_stmt_52, axiom,
1.94/2.11	  (![L1:int,K:int]:
1.94/2.11	     (app_encode_app(int,int,
1.94/2.11	                     app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                    plus_plus(int),
1.94/2.11	                                    app_encode_app(int,int,bit0,K)),
1.94/2.11	                     app_encode_app(int,int,bit1,L1)) =
1.94/2.11	      app_encode_app(int,int,bit1,
1.94/2.11	                     app_encode_app(int,int,
1.94/2.11	                                    app_encode_app(int,
1.94/2.11	                                                   app_encode_fun(int,int),
1.94/2.11	                                                   plus_plus(int),K),
1.94/2.11	                                    L1))))).
1.94/2.11	tff('25', plain,
1.94/2.11	    ![X22 : int, X23 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	          app_encode_app(int, int, bit0, X22)), 
1.94/2.11	        app_encode_app(int, int, bit1, X23))
1.94/2.11	       = app_encode_app(int, int, bit1, 
1.94/2.11	           app_encode_app(int, int, 
1.94/2.11	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	               X22), X23)),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_52])).
1.94/2.11	tff('26', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.94/2.11	       = app_encode_app(int, int, bit1, 
1.94/2.11	           app_encode_app(int, int, 
1.94/2.11	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	               X0), pls)),
1.94/2.11	    inference('sup+', [status(thm)], ['6', '25'])).
1.94/2.11	tff('27', plain,
1.94/2.11	    ![X0 : int]:
1.94/2.11	      app_encode_app(int, int, 
1.94/2.11	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	          app_encode_app(int, int, bit0, X0)), one_one(int))
1.94/2.11	       = app_encode_app(int, int, bit1, X0),
1.94/2.11	    inference('demod', [status(thm)], ['26', '3'])).
1.94/2.11	tff('28', plain,
1.94/2.11	    app_encode_app(int, int, 
1.94/2.11	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	        app_encode_app(int, int, 
1.94/2.11	          app_encode_app(int, app_encode_fun(int, int), times_times(int), s), 
1.94/2.11	          s)), one_one(int))
1.94/2.11	     = app_encode_app(int, int, 
1.94/2.11	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.94/2.11	         t),
1.94/2.11	    inference('demod', [status(thm)],
1.94/2.11	              ['2', '6', '13', '6', '14', '14', '24', '1', '27'])).
1.94/2.11	tff(zf_stmt_148, conjecture,
1.94/2.11	  (app_encode_app(int,int,
1.94/2.11	                  app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                 times_times(int),
1.94/2.11	                                 app_encode_app(int,int,
1.94/2.11	                                                app_encode_app(int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               int,int),
1.94/2.11	                                                               plus_plus(int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               int,int),
1.94/2.11	                                                               times_times(
1.94/2.11	                                                               int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,
1.94/2.11	                                                               number_number_of(
1.94/2.11	                                                               int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit1,
1.94/2.11	                                                               pls))))),m)),
1.94/2.11	                                                one_one(int))),
1.94/2.11	                  t) =
1.94/2.11	   app_encode_app(int,int,
1.94/2.11	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.94/2.11	                                 app_encode_app(nat,int,
1.94/2.11	                                                app_encode_app(int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               nat,int),
1.94/2.11	                                                               power_power(
1.94/2.11	                                                               int),s),
1.94/2.11	                                                app_encode_app(int,nat,
1.94/2.11	                                                               number_number_of(
1.94/2.11	                                                               nat),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit1,
1.94/2.11	                                                               pls))))),
1.94/2.11	                  one_one(int)))).
1.94/2.11	tff(zf_stmt_0, negated_conjecture,
1.94/2.11	  (app_encode_app(int,int,
1.94/2.11	                  app_encode_app(int,app_encode_fun(int,int),
1.94/2.11	                                 times_times(int),
1.94/2.11	                                 app_encode_app(int,int,
1.94/2.11	                                                app_encode_app(int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               int,int),
1.94/2.11	                                                               plus_plus(int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               int,int),
1.94/2.11	                                                               times_times(
1.94/2.11	                                                               int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,
1.94/2.11	                                                               number_number_of(
1.94/2.11	                                                               int),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit1,
1.94/2.11	                                                               pls))))),m)),
1.94/2.11	                                                one_one(int))),
1.94/2.11	                  t) !=
1.94/2.11	   app_encode_app(int,int,
1.94/2.11	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.94/2.11	                                 app_encode_app(nat,int,
1.94/2.11	                                                app_encode_app(int,
1.94/2.11	                                                               app_encode_fun(
1.94/2.11	                                                               nat,int),
1.94/2.11	                                                               power_power(
1.94/2.11	                                                               int),s),
1.94/2.11	                                                app_encode_app(int,nat,
1.94/2.11	                                                               number_number_of(
1.94/2.11	                                                               nat),
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit0,
1.94/2.11	                                                               app_encode_app(
1.94/2.11	                                                               int,int,bit1,
1.94/2.11	                                                               pls))))),
1.94/2.11	                  one_one(int)))).
1.94/2.11	tff('29', plain,
1.94/2.11	    app_encode_app(int, int, 
1.94/2.11	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	        app_encode_app(int, int, 
1.94/2.11	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	            app_encode_app(int, int, 
1.94/2.11	              app_encode_app(int, app_encode_fun(int, int), 
1.94/2.11	                times_times(int), 
1.94/2.11	                app_encode_app(int, int, number_number_of(int), 
1.94/2.11	                  app_encode_app(int, int, bit0, 
1.94/2.11	                    app_encode_app(int, int, bit0, 
1.94/2.11	                      app_encode_app(int, int, bit1, pls))))), m)), 
1.94/2.11	          one_one(int))), t)
1.94/2.11	     != app_encode_app(int, int, 
1.94/2.11	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	            app_encode_app(nat, int, 
1.94/2.11	              app_encode_app(int, app_encode_fun(nat, int), 
1.94/2.11	                power_power(int), s), 
1.94/2.11	              app_encode_app(int, nat, number_number_of(nat), 
1.94/2.11	                app_encode_app(int, int, bit0, 
1.94/2.11	                  app_encode_app(int, int, bit1, pls))))), one_one(int)),
1.94/2.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.94/2.11	tff('30', plain,
1.94/2.11	    app_encode_app(int, int, 
1.94/2.11	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.94/2.11	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.94/2.11	      t)
1.94/2.11	     != app_encode_app(int, int, 
1.94/2.11	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.94/2.11	            app_encode_app(int, int, 
1.94/2.11	              app_encode_app(int, app_encode_fun(int, int), 
1.94/2.11	                times_times(int), s), s)), one_one(int)),
1.94/2.11	    inference('demod', [status(thm)],
1.94/2.11	              ['29', '6', '1', '14', '14', '24', '1', '27', '6', '13'])).
1.94/2.11	tff('31', plain, $false,
1.94/2.11	    inference('simplify_reflect-', [status(thm)], ['28', '30'])).
1.94/2.11	
1.94/2.11	% SZS output end Refutation
1.94/2.11	EOF
