0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n079.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 08:09:08 CST 2018
1.35/1.53	% done 914 iterations in 1.320s
1.35/1.53	% SZS status Theorem for 'stdin'
1.35/1.53	% SZS output start Refutation
1.35/1.53	tff(zf_stmt_152, conjecture,
1.35/1.53	  (app_encode_app(int,int,
1.35/1.53	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.35/1.53	                                 app_encode_app(nat,int,
1.35/1.53	                                                app_encode_app(int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               nat,int),
1.35/1.53	                                                               power_power(
1.35/1.53	                                                               int),v),
1.35/1.53	                                                app_encode_app(int,nat,
1.35/1.53	                                                               number_number_of(
1.35/1.53	                                                               nat),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))),
1.35/1.53	                  app_encode_app(nat,int,
1.35/1.53	                                 app_encode_app(int,app_encode_fun(nat,int),
1.35/1.53	                                                power_power(int),w),
1.35/1.53	                                 app_encode_app(int,nat,
1.35/1.53	                                                number_number_of(nat),
1.35/1.53	                                                app_encode_app(int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))) =
1.35/1.53	   app_encode_app(int,int,
1.35/1.53	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.35/1.53	                                 app_encode_app(nat,int,
1.35/1.53	                                                app_encode_app(int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               nat,int),
1.35/1.53	                                                               power_power(
1.35/1.53	                                                               int),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               minus_minus(
1.35/1.53	                                                               int),x),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               times_times(
1.35/1.53	                                                               int),r),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               plus_plus(int),
1.35/1.53	                                                               one_one(int)),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               nat,int,
1.35/1.53	                                                               semiring_1_of_nat(
1.35/1.53	                                                               int),n))))),
1.35/1.53	                                                app_encode_app(int,nat,
1.35/1.53	                                                               number_number_of(
1.35/1.53	                                                               nat),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))),
1.35/1.53	                  app_encode_app(nat,int,
1.35/1.53	                                 app_encode_app(int,app_encode_fun(nat,int),
1.35/1.53	                                                power_power(int),
1.35/1.53	                                                app_encode_app(int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               minus_minus(
1.35/1.53	                                                               int),y),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               times_times(
1.35/1.53	                                                               int),sa),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               plus_plus(int),
1.35/1.53	                                                               one_one(int)),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               nat,int,
1.35/1.53	                                                               semiring_1_of_nat(
1.35/1.53	                                                               int),n))))),
1.35/1.53	                                 app_encode_app(int,nat,
1.35/1.53	                                                number_number_of(nat),
1.35/1.53	                                                app_encode_app(int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))))).
1.35/1.53	tff(zf_stmt_0, negated_conjecture,
1.35/1.53	  (app_encode_app(int,int,
1.35/1.53	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.35/1.53	                                 app_encode_app(nat,int,
1.35/1.53	                                                app_encode_app(int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               nat,int),
1.35/1.53	                                                               power_power(
1.35/1.53	                                                               int),v),
1.35/1.53	                                                app_encode_app(int,nat,
1.35/1.53	                                                               number_number_of(
1.35/1.53	                                                               nat),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))),
1.35/1.53	                  app_encode_app(nat,int,
1.35/1.53	                                 app_encode_app(int,app_encode_fun(nat,int),
1.35/1.53	                                                power_power(int),w),
1.35/1.53	                                 app_encode_app(int,nat,
1.35/1.53	                                                number_number_of(nat),
1.35/1.53	                                                app_encode_app(int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))) !=
1.35/1.53	   app_encode_app(int,int,
1.35/1.53	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
1.35/1.53	                                 app_encode_app(nat,int,
1.35/1.53	                                                app_encode_app(int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               nat,int),
1.35/1.53	                                                               power_power(
1.35/1.53	                                                               int),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               minus_minus(
1.35/1.53	                                                               int),x),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               times_times(
1.35/1.53	                                                               int),r),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               plus_plus(int),
1.35/1.53	                                                               one_one(int)),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               nat,int,
1.35/1.53	                                                               semiring_1_of_nat(
1.35/1.53	                                                               int),n))))),
1.35/1.53	                                                app_encode_app(int,nat,
1.35/1.53	                                                               number_number_of(
1.35/1.53	                                                               nat),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))),
1.35/1.53	                  app_encode_app(nat,int,
1.35/1.53	                                 app_encode_app(int,app_encode_fun(nat,int),
1.35/1.53	                                                power_power(int),
1.35/1.53	                                                app_encode_app(int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               minus_minus(
1.35/1.53	                                                               int),y),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               times_times(
1.35/1.53	                                                               int),sa),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               plus_plus(int),
1.35/1.53	                                                               one_one(int)),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               nat,int,
1.35/1.53	                                                               semiring_1_of_nat(
1.35/1.53	                                                               int),n))))),
1.35/1.53	                                 app_encode_app(int,nat,
1.35/1.53	                                                number_number_of(nat),
1.35/1.53	                                                app_encode_app(int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls))))))).
1.35/1.53	tff('0', plain,
1.35/1.53	    app_encode_app(int, int, 
1.35/1.53	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.53	        app_encode_app(nat, int, 
1.35/1.53	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
1.35/1.53	          app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	            app_encode_app(int, int, bit0, 
1.35/1.53	              app_encode_app(int, int, bit1, pls))))), 
1.35/1.53	      app_encode_app(nat, int, 
1.35/1.53	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
1.35/1.53	        app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
1.35/1.53	     != app_encode_app(int, int, 
1.35/1.53	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.53	            app_encode_app(nat, int, 
1.35/1.53	              app_encode_app(int, app_encode_fun(nat, int), 
1.35/1.53	                power_power(int), 
1.35/1.53	                app_encode_app(int, int, 
1.35/1.53	                  app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                    minus_minus(int), x), 
1.35/1.53	                  app_encode_app(int, int, 
1.35/1.53	                    app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                      times_times(int), r), 
1.35/1.53	                    app_encode_app(int, int, 
1.35/1.53	                      app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                        plus_plus(int), one_one(int)), 
1.35/1.53	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))))), 
1.35/1.53	              app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	                app_encode_app(int, int, bit0, 
1.35/1.53	                  app_encode_app(int, int, bit1, pls))))), 
1.35/1.53	          app_encode_app(nat, int, 
1.35/1.53	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.35/1.53	              app_encode_app(int, int, 
1.35/1.53	                app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                  minus_minus(int), y), 
1.35/1.53	                app_encode_app(int, int, 
1.35/1.53	                  app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                    times_times(int), sa), 
1.35/1.53	                  app_encode_app(int, int, 
1.35/1.53	                    app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                      plus_plus(int), one_one(int)), 
1.35/1.53	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))))), 
1.35/1.53	            app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	              app_encode_app(int, int, bit0, 
1.35/1.53	                app_encode_app(int, int, bit1, pls))))),
1.35/1.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.35/1.53	tff(zf_stmt_138, axiom, (monoid_mult(int))).
1.35/1.53	tff('1', plain, monoid_mult(int),
1.35/1.53	    inference('cnf', [status(esa)], [zf_stmt_138])).
1.35/1.53	tff(zf_stmt_40, axiom,
1.35/1.53	  (![B1:$tType]:
1.35/1.53	     ((monoid_mult(B1) & number(B1)) =>
1.35/1.53	      (![W:int]:
1.35/1.53	         (app_encode_app(nat,B1,
1.35/1.53	                         app_encode_app(B1,app_encode_fun(nat,B1),
1.35/1.53	                                        power_power(B1),
1.35/1.53	                                        app_encode_app(int,B1,
1.35/1.53	                                                       number_number_of(B1),W)),
1.35/1.53	                         app_encode_app(int,nat,number_number_of(nat),
1.35/1.53	                                        app_encode_app(int,int,bit0,
1.35/1.53	                                                       app_encode_app(
1.35/1.53	                                                       int,int,bit1,pls)))) =
1.35/1.53	          app_encode_app(B1,B1,
1.35/1.53	                         app_encode_app(B1,app_encode_fun(B1,B1),
1.35/1.53	                                        times_times(B1),
1.35/1.53	                                        app_encode_app(int,B1,
1.35/1.53	                                                       number_number_of(B1),W)),
1.35/1.53	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
1.35/1.53	tff('2', plain,
1.35/1.53	    ![X0 : $tType, X1 : int]:
1.35/1.53	      (app_encode_app(nat, X0, 
1.35/1.53	         app_encode_app(X0, app_encode_fun(nat, X0), power_power(X0), 
1.35/1.53	           app_encode_app(int, X0, number_number_of(X0), X1)), 
1.35/1.53	         app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	           app_encode_app(int, int, bit0, 
1.35/1.53	             app_encode_app(int, int, bit1, pls))))
1.35/1.53	        = app_encode_app(X0, X0, 
1.35/1.53	            app_encode_app(X0, app_encode_fun(X0, X0), times_times(X0), 
1.35/1.53	              app_encode_app(int, X0, number_number_of(X0), X1)), 
1.35/1.53	            app_encode_app(int, X0, number_number_of(X0), X1))
1.35/1.53	       | ~ number(X0)
1.35/1.53	       | ~ monoid_mult(X0)),
1.35/1.53	    inference('cnf', [status(esa)], [zf_stmt_40])).
1.35/1.53	tff('3', plain,
1.35/1.53	    ![X0 : int]:
1.35/1.53	      (~ $true
1.35/1.53	       | ~ number(int)
1.35/1.53	       | app_encode_app(nat, int, 
1.35/1.53	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.35/1.53	             app_encode_app(int, int, number_number_of(int), X0)), 
1.35/1.53	           app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	             app_encode_app(int, int, bit0, 
1.35/1.53	               app_encode_app(int, int, bit1, pls))))
1.35/1.53	          = app_encode_app(int, int, 
1.35/1.53	              app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                times_times(int), 
1.35/1.53	                app_encode_app(int, int, number_number_of(int), X0)), 
1.35/1.53	              app_encode_app(int, int, number_number_of(int), X0))),
1.35/1.53	    inference('sup-', [status(thm)], ['1', '2'])).
1.35/1.53	tff(zf_stmt_144, axiom, (number(int))).
1.35/1.53	tff('4', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_144])).
1.35/1.53	tff(zf_stmt_95, axiom,
1.35/1.53	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
1.35/1.53	tff('5', plain,
1.35/1.53	    ![X111 : int]:
1.35/1.53	      app_encode_app(int, int, number_number_of(int), X111) = X111,
1.35/1.53	    inference('cnf', [status(esa)], [zf_stmt_95])).
1.35/1.53	tff('6', plain,
1.35/1.53	    ![X0 : int]:
1.35/1.53	      (~ $true
1.35/1.53	       | ~ $true
1.35/1.53	       | app_encode_app(nat, int, 
1.35/1.53	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
1.35/1.53	             X0), 
1.35/1.53	           app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	             app_encode_app(int, int, bit0, 
1.35/1.53	               app_encode_app(int, int, bit1, pls))))
1.35/1.53	          = app_encode_app(int, int, 
1.35/1.53	              app_encode_app(int, app_encode_fun(int, int), 
1.35/1.53	                times_times(int), X0), X0)),
1.35/1.53	    inference('demod', [status(thm)], ['3', '4', '5', '5', '5'])).
1.35/1.53	tff('7', plain,
1.35/1.53	    ![X0 : int]:
1.35/1.53	      app_encode_app(nat, int, 
1.35/1.53	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
1.35/1.53	        app_encode_app(int, nat, number_number_of(nat), 
1.35/1.53	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
1.35/1.53	       = app_encode_app(int, int, 
1.35/1.53	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.35/1.53	             X0), X0),
1.35/1.53	    inference('simplify', [status(thm)], ['6'])).
1.35/1.53	tff(zf_stmt_119, axiom,
1.35/1.53	  (one_one(int) =
1.35/1.53	   app_encode_app(int,int,number_number_of(int),
1.35/1.53	                  app_encode_app(int,int,bit1,pls)))).
1.35/1.53	tff('8', plain,
1.35/1.53	    one_one(int)
1.35/1.53	     = app_encode_app(int, int, number_number_of(int), 
1.35/1.53	         app_encode_app(int, int, bit1, pls)),
1.35/1.53	    inference('cnf', [status(esa)], [zf_stmt_119])).
1.35/1.53	tff('9', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
1.35/1.53	    inference('demod', [status(thm)], ['8', '5'])).
1.35/1.53	tff(zf_stmt_38, axiom,
1.35/1.53	  ((v =
1.35/1.53	    app_encode_app(int,int,
1.35/1.53	                   app_encode_app(int,app_encode_fun(int,int),
1.35/1.53	                                  minus_minus(int),x),
1.35/1.53	                   app_encode_app(int,int,
1.35/1.53	                                  app_encode_app(int,app_encode_fun(int,int),
1.35/1.53	                                                 times_times(int),r),
1.35/1.53	                                  app_encode_app(int,int,
1.35/1.53	                                                 app_encode_app(int,
1.35/1.53	                                                                app_encode_fun(
1.35/1.53	                                                                int,int),
1.35/1.53	                                                                plus_plus(
1.35/1.53	                                                                int),
1.35/1.53	                                                                one_one(int)),
1.35/1.53	                                                 app_encode_app(nat,int,
1.35/1.53	                                                                semiring_1_of_nat(
1.35/1.53	                                                                int),n))))) & 
1.35/1.53	   app_encode_app(int,$o,
1.35/1.53	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
1.35/1.53	                                 app_encode_app(int,int,
1.35/1.53	                                                app_encode_app(int,
1.35/1.53	                                                               app_encode_fun(
1.35/1.53	                                                               int,int),
1.35/1.53	                                                               times_times(
1.35/1.53	                                                               int),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,
1.35/1.53	                                                               number_number_of(
1.35/1.53	                                                               int),
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit0,
1.35/1.53	                                                               app_encode_app(
1.35/1.53	                                                               int,int,bit1,
1.35/1.53	                                                               pls)))),
1.35/1.53	                                                app_encode_app(int,int,
1.35/1.53	                                                               abs_abs(int),v))),
1.35/1.53	                  app_encode_app(int,int,
1.35/1.53	                                 app_encode_app(int,app_encode_fun(int,int),
1.35/1.53	                                                plus_plus(int),one_one(int)),
1.35/1.53	                                 app_encode_app(nat,int,
1.35/1.53	                                                semiring_1_of_nat(int),n))))).
1.35/1.53	tff('10', plain,
1.35/1.53	    v
1.35/1.53	     = app_encode_app(int, int, 
1.35/1.53	         app_encode_app(int, app_encode_fun(int, int), minus_minus(int), x), 
1.35/1.53	         app_encode_app(int, int, 
1.35/1.53	           app_encode_app(int, app_encode_fun(int, int), times_times(int), r), 
1.35/1.53	           app_encode_app(int, int, 
1.35/1.53	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.53	               one_one(int)), 
1.35/1.53	             app_encode_app(nat, int, semiring_1_of_nat(int), n)))),
1.35/1.53	    inference('cnf', [status(esa)], [zf_stmt_38])).
1.35/1.53	tff('11', plain,
1.35/1.53	    v
1.35/1.53	     = app_encode_app(int, int, 
1.35/1.53	         app_encode_app(int, app_encode_fun(int, int), minus_minus(int), x), 
1.35/1.53	         app_encode_app(int, int, 
1.35/1.53	           app_encode_app(int, app_encode_fun(int, int), times_times(int), r), 
1.35/1.53	           app_encode_app(int, int, 
1.35/1.53	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.53	               app_encode_app(int, int, bit1, pls)), 
1.35/1.53	             app_encode_app(nat, int, semiring_1_of_nat(int), n)))),
1.35/1.53	    inference('demod', [status(thm)], ['10', '9'])).
1.35/1.53	tff(zf_stmt_39, axiom,
1.35/1.53	  ((w =
1.35/1.53	    app_encode_app(int,int,
1.35/1.53	                   app_encode_app(int,app_encode_fun(int,int),
1.35/1.53	                                  minus_minus(int),y),
1.35/1.53	                   app_encode_app(int,int,
1.35/1.53	                                  app_encode_app(int,app_encode_fun(int,int),
1.35/1.53	                                                 times_times(int),sa),
1.35/1.53	                                  app_encode_app(int,int,
1.35/1.53	                                                 app_encode_app(int,
1.35/1.54	                                                                app_encode_fun(
1.35/1.54	                                                                int,int),
1.35/1.54	                                                                plus_plus(
1.35/1.54	                                                                int),
1.35/1.54	                                                                one_one(int)),
1.35/1.54	                                                 app_encode_app(nat,int,
1.35/1.54	                                                                semiring_1_of_nat(
1.35/1.54	                                                                int),n))))) & 
1.35/1.54	   app_encode_app(int,$o,
1.35/1.54	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
1.35/1.54	                                 app_encode_app(int,int,
1.35/1.54	                                                app_encode_app(int,
1.35/1.54	                                                               app_encode_fun(
1.35/1.54	                                                               int,int),
1.35/1.54	                                                               times_times(
1.35/1.54	                                                               int),
1.35/1.54	                                                               app_encode_app(
1.35/1.54	                                                               int,int,
1.35/1.54	                                                               number_number_of(
1.35/1.54	                                                               int),
1.35/1.54	                                                               app_encode_app(
1.35/1.54	                                                               int,int,bit0,
1.35/1.54	                                                               app_encode_app(
1.35/1.54	                                                               int,int,bit1,
1.35/1.54	                                                               pls)))),
1.35/1.54	                                                app_encode_app(int,int,
1.35/1.54	                                                               abs_abs(int),w))),
1.35/1.54	                  app_encode_app(int,int,
1.35/1.54	                                 app_encode_app(int,app_encode_fun(int,int),
1.35/1.54	                                                plus_plus(int),one_one(int)),
1.35/1.54	                                 app_encode_app(nat,int,
1.35/1.54	                                                semiring_1_of_nat(int),n))))).
1.35/1.54	tff('12', plain,
1.35/1.54	    w
1.35/1.54	     = app_encode_app(int, int, 
1.35/1.54	         app_encode_app(int, app_encode_fun(int, int), minus_minus(int), y), 
1.35/1.54	         app_encode_app(int, int, 
1.35/1.54	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.35/1.54	             sa), 
1.35/1.54	           app_encode_app(int, int, 
1.35/1.54	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.54	               one_one(int)), 
1.35/1.54	             app_encode_app(nat, int, semiring_1_of_nat(int), n)))),
1.35/1.54	    inference('cnf', [status(esa)], [zf_stmt_39])).
1.35/1.54	tff('13', plain,
1.35/1.54	    w
1.35/1.54	     = app_encode_app(int, int, 
1.35/1.54	         app_encode_app(int, app_encode_fun(int, int), minus_minus(int), y), 
1.35/1.54	         app_encode_app(int, int, 
1.35/1.54	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.35/1.54	             sa), 
1.35/1.54	           app_encode_app(int, int, 
1.35/1.54	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.54	               app_encode_app(int, int, bit1, pls)), 
1.35/1.54	             app_encode_app(nat, int, semiring_1_of_nat(int), n)))),
1.35/1.54	    inference('demod', [status(thm)], ['12', '9'])).
1.35/1.54	tff('14', plain,
1.35/1.54	    app_encode_app(int, int, 
1.35/1.54	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.54	        app_encode_app(int, int, 
1.35/1.54	          app_encode_app(int, app_encode_fun(int, int), times_times(int), v), 
1.35/1.54	          v)), 
1.35/1.54	      app_encode_app(int, int, 
1.35/1.54	        app_encode_app(int, app_encode_fun(int, int), times_times(int), w), 
1.35/1.54	        w))
1.35/1.54	     != app_encode_app(int, int, 
1.35/1.54	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.35/1.54	            app_encode_app(int, int, 
1.35/1.54	              app_encode_app(int, app_encode_fun(int, int), 
1.35/1.54	                times_times(int), v), v)), 
1.35/1.54	          app_encode_app(int, int, 
1.35/1.54	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.35/1.54	              w), w)),
1.35/1.54	    inference('demod', [status(thm)],
1.35/1.54	              ['0', '7', '7', '9', '11', '7', '9', '13', '7'])).
1.35/1.54	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
1.35/1.54	
1.35/1.54	% SZS output end Refutation
1.35/1.54	EOF
