0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n127.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 09:46:23 CST 2018
2.83/3.01	% done 1189 iterations in 2.803s
2.83/3.01	% SZS status Theorem for 'stdin'
2.83/3.01	% SZS output start Refutation
2.83/3.01	tff(zf_stmt_189, conjecture,
2.83/3.01	  (app_encode_app(real,real,
2.83/3.01	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.83/3.01	                                 aa(real,real),sqrt),
2.83/3.01	                  app_encode_app(int,real,number_number_of(real),
2.83/3.01	                                 app_encode_app(int,int,bit0,
2.83/3.01	                                                app_encode_app(int,int,bit0,
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit1,
2.83/3.01	                                                               pls))))) =
2.83/3.01	   app_encode_app(real,real,
2.83/3.01	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.83/3.01	                                 aa(real,real),sqrt),
2.83/3.01	                  app_encode_app(nat,real,
2.83/3.01	                                 app_encode_app(real,
2.83/3.01	                                                app_encode_fun(nat,real),
2.83/3.01	                                                power_power(real),
2.83/3.01	                                                app_encode_app(int,real,
2.83/3.01	                                                               number_number_of(
2.83/3.01	                                                               real),
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit0,
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit1,
2.83/3.01	                                                               pls)))),
2.83/3.01	                                 app_encode_app(int,nat,
2.83/3.01	                                                number_number_of(nat),
2.83/3.01	                                                app_encode_app(int,int,bit0,
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit1,
2.83/3.01	                                                               pls))))))).
2.83/3.01	tff(zf_stmt_0, negated_conjecture,
2.83/3.01	  (app_encode_app(real,real,
2.83/3.01	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.83/3.01	                                 aa(real,real),sqrt),
2.83/3.01	                  app_encode_app(int,real,number_number_of(real),
2.83/3.01	                                 app_encode_app(int,int,bit0,
2.83/3.01	                                                app_encode_app(int,int,bit0,
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit1,
2.83/3.01	                                                               pls))))) !=
2.83/3.01	   app_encode_app(real,real,
2.83/3.01	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.83/3.01	                                 aa(real,real),sqrt),
2.83/3.01	                  app_encode_app(nat,real,
2.83/3.01	                                 app_encode_app(real,
2.83/3.01	                                                app_encode_fun(nat,real),
2.83/3.01	                                                power_power(real),
2.83/3.01	                                                app_encode_app(int,real,
2.83/3.01	                                                               number_number_of(
2.83/3.01	                                                               real),
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit0,
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit1,
2.83/3.01	                                                               pls)))),
2.83/3.01	                                 app_encode_app(int,nat,
2.83/3.01	                                                number_number_of(nat),
2.83/3.01	                                                app_encode_app(int,int,bit0,
2.83/3.01	                                                               app_encode_app(
2.83/3.01	                                                               int,int,bit1,
2.83/3.01	                                                               pls))))))).
2.83/3.01	tff('0', plain,
2.83/3.01	    app_encode_app(real, real, 
2.83/3.01	      app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.83/3.01	        aa(real, real), sqrt), 
2.83/3.01	      app_encode_app(int, real, number_number_of(real), 
2.83/3.01	        app_encode_app(int, int, bit0, 
2.83/3.01	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.83/3.01	     != app_encode_app(real, real, 
2.83/3.01	          app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.83/3.01	            aa(real, real), sqrt), 
2.83/3.01	          app_encode_app(nat, real, 
2.83/3.01	            app_encode_app(real, app_encode_fun(nat, real), 
2.83/3.01	              power_power(real), 
2.83/3.01	              app_encode_app(int, real, number_number_of(real), 
2.83/3.01	                app_encode_app(int, int, bit0, 
2.83/3.01	                  app_encode_app(int, int, bit1, pls)))), 
2.83/3.01	            app_encode_app(int, nat, number_number_of(nat), 
2.83/3.01	              app_encode_app(int, int, bit0, 
2.83/3.01	                app_encode_app(int, int, bit1, pls))))),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.83/3.01	tff(zf_stmt_99, axiom, (pls = zero_zero(int))).
2.83/3.01	tff('1', plain, pls = zero_zero(int),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_99])).
2.83/3.01	tff(zf_stmt_179, axiom, (monoid_mult(real))).
2.83/3.01	tff('2', plain, monoid_mult(real),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_179])).
2.83/3.01	tff(zf_stmt_110, axiom,
2.83/3.01	  (![A:$tType]:
2.83/3.01	     (monoid_mult(A) =>
2.83/3.01	      (![A1:A]:
2.83/3.01	         (app_encode_app(nat,A,
2.83/3.01	                         app_encode_app(A,app_encode_fun(nat,A),
2.83/3.01	                                        power_power(A),A1),
2.83/3.01	                         app_encode_app(int,nat,number_number_of(nat),
2.83/3.01	                                        app_encode_app(int,int,bit0,
2.83/3.01	                                                       app_encode_app(
2.83/3.01	                                                       int,int,bit1,pls)))) =
2.83/3.01	          app_encode_app(A,A,
2.83/3.01	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.83/3.01	                                        A1),
2.83/3.01	                         A1)))))).
2.83/3.01	tff('3', plain,
2.83/3.01	    ![X140 : $tType, X141 : X140]:
2.83/3.01	      (app_encode_app(nat, X140, 
2.83/3.01	         app_encode_app(X140, app_encode_fun(nat, X140), power_power(X140), 
2.83/3.01	           X141), 
2.83/3.01	         app_encode_app(int, nat, number_number_of(nat), 
2.83/3.01	           app_encode_app(int, int, bit0, 
2.83/3.01	             app_encode_app(int, int, bit1, pls))))
2.83/3.01	        = app_encode_app(X140, X140, 
2.83/3.01	            app_encode_app(X140, app_encode_fun(X140, X140), 
2.83/3.01	              times_times(X140), X141), X141)
2.83/3.01	       | ~ monoid_mult(X140)),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_110])).
2.83/3.01	tff('4', plain,
2.83/3.01	    ![X140 : $tType, X141 : X140]:
2.83/3.01	      (app_encode_app(nat, X140, 
2.83/3.01	         app_encode_app(X140, app_encode_fun(nat, X140), power_power(X140), 
2.83/3.01	           X141), 
2.83/3.01	         app_encode_app(int, nat, number_number_of(nat), 
2.83/3.01	           app_encode_app(int, int, bit0, 
2.83/3.01	             app_encode_app(int, int, bit1, zero_zero(int)))))
2.83/3.01	        = app_encode_app(X140, X140, 
2.83/3.01	            app_encode_app(X140, app_encode_fun(X140, X140), 
2.83/3.01	              times_times(X140), X141), X141)
2.83/3.01	       | ~ monoid_mult(X140)),
2.83/3.01	    inference('demod', [status(thm)], ['3', '1'])).
2.83/3.01	tff('5', plain,
2.83/3.01	    ![X0 : real]:
2.83/3.01	      (~ $true
2.83/3.01	       | app_encode_app(nat, real, 
2.83/3.01	           app_encode_app(real, app_encode_fun(nat, real), 
2.83/3.01	             power_power(real), X0), 
2.83/3.01	           app_encode_app(int, nat, number_number_of(nat), 
2.83/3.01	             app_encode_app(int, int, bit0, 
2.83/3.01	               app_encode_app(int, int, bit1, zero_zero(int)))))
2.83/3.01	          = app_encode_app(real, real, 
2.83/3.01	              app_encode_app(real, app_encode_fun(real, real), 
2.83/3.01	                times_times(real), X0), X0)),
2.83/3.01	    inference('sup-', [status(thm)], ['2', '4'])).
2.83/3.01	tff('6', plain,
2.83/3.01	    ![X0 : real]:
2.83/3.01	      app_encode_app(nat, real, 
2.83/3.01	        app_encode_app(real, app_encode_fun(nat, real), power_power(real), 
2.83/3.01	          X0), 
2.83/3.01	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.01	          app_encode_app(int, int, bit0, 
2.83/3.01	            app_encode_app(int, int, bit1, zero_zero(int)))))
2.83/3.01	       = app_encode_app(real, real, 
2.83/3.01	           app_encode_app(real, app_encode_fun(real, real), 
2.83/3.01	             times_times(real), X0), X0),
2.83/3.01	    inference('simplify', [status(thm)], ['5'])).
2.83/3.01	tff(zf_stmt_183, axiom, (number_ring(real))).
2.83/3.01	tff('7', plain, number_ring(real),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_183])).
2.83/3.01	tff(zf_stmt_76, axiom,
2.83/3.01	  (![A:$tType]:
2.83/3.01	     (number_ring(A) =>
2.83/3.01	      (![W:int,V:int]:
2.83/3.01	         (app_encode_app(A,A,
2.83/3.01	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.83/3.01	                                        app_encode_app(int,A,
2.83/3.01	                                                       number_number_of(A),V)),
2.83/3.01	                         app_encode_app(int,A,number_number_of(A),W)) =
2.83/3.01	          app_encode_app(int,A,number_number_of(A),
2.83/3.01	                         app_encode_app(int,int,
2.83/3.01	                                        app_encode_app(int,
2.83/3.01	                                                       app_encode_fun(
2.83/3.01	                                                       int,int),
2.83/3.01	                                                       times_times(int),V),
2.83/3.01	                                        W))))))).
2.83/3.01	tff('8', plain,
2.83/3.01	    ![X58 : $tType, X59 : int, X60 : int]:
2.83/3.01	      (app_encode_app(X58, X58, 
2.83/3.01	         app_encode_app(X58, app_encode_fun(X58, X58), times_times(X58), 
2.83/3.01	           app_encode_app(int, X58, number_number_of(X58), X59)), 
2.83/3.01	         app_encode_app(int, X58, number_number_of(X58), X60))
2.83/3.01	        = app_encode_app(int, X58, number_number_of(X58), 
2.83/3.01	            app_encode_app(int, int, 
2.83/3.01	              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.01	                times_times(int), X59), X60))
2.83/3.01	       | ~ number_ring(X58)),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_76])).
2.83/3.01	tff('9', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      (~ $true
2.83/3.01	       | app_encode_app(real, real, 
2.83/3.01	           app_encode_app(real, app_encode_fun(real, real), 
2.83/3.01	             times_times(real), 
2.83/3.01	             app_encode_app(int, real, number_number_of(real), X1)), 
2.83/3.01	           app_encode_app(int, real, number_number_of(real), X0))
2.83/3.01	          = app_encode_app(int, real, number_number_of(real), 
2.83/3.01	              app_encode_app(int, int, 
2.83/3.01	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.01	                  times_times(int), X1), X0))),
2.83/3.01	    inference('sup-', [status(thm)], ['7', '8'])).
2.83/3.01	tff('10', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(real, real, 
2.83/3.01	        app_encode_app(real, app_encode_fun(real, real), times_times(real), 
2.83/3.01	          app_encode_app(int, real, number_number_of(real), X1)), 
2.83/3.01	        app_encode_app(int, real, number_number_of(real), X0))
2.83/3.01	       = app_encode_app(int, real, number_number_of(real), 
2.83/3.01	           app_encode_app(int, int, 
2.83/3.01	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	               X1), X0)),
2.83/3.01	    inference('simplify', [status(thm)], ['9'])).
2.83/3.01	tff(zf_stmt_175, axiom, (comm_semiring_1(real))).
2.83/3.01	tff('11', plain, comm_semiring_1(real),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_175])).
2.83/3.01	tff(zf_stmt_128, axiom,
2.83/3.01	  (![A:$tType]:
2.83/3.01	     (comm_semiring_1(A) =>
2.83/3.01	      (![B:A,A1:A]:
2.83/3.01	         (app_encode_app(A,A,
2.83/3.01	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.83/3.01	                                        A1),
2.83/3.01	                         B) =
2.83/3.01	          app_encode_app(A,A,
2.83/3.01	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.83/3.01	                                        B),
2.83/3.01	                         A1)))))).
2.83/3.01	tff('12', plain,
2.83/3.01	    ![X189 : $tType, X190 : X189, X191 : X189]:
2.83/3.01	      (app_encode_app(X189, X189, 
2.83/3.01	         app_encode_app(X189, app_encode_fun(X189, X189), times_times(X189), 
2.83/3.01	           X191), X190)
2.83/3.01	        = app_encode_app(X189, X189, 
2.83/3.01	            app_encode_app(X189, app_encode_fun(X189, X189), 
2.83/3.01	              times_times(X189), X190), X191)
2.83/3.01	       | ~ comm_semiring_1(X189)),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_128])).
2.83/3.01	tff('13', plain,
2.83/3.01	    ![X0 : real, X1 : real]:
2.83/3.01	      (~ $true
2.83/3.01	       | app_encode_app(real, real, 
2.83/3.01	           app_encode_app(real, app_encode_fun(real, real), 
2.83/3.01	             times_times(real), X1), X0)
2.83/3.01	          = app_encode_app(real, real, 
2.83/3.01	              app_encode_app(real, app_encode_fun(real, real), 
2.83/3.01	                times_times(real), X0), X1)),
2.83/3.01	    inference('sup-', [status(thm)], ['11', '12'])).
2.83/3.01	tff('14', plain,
2.83/3.01	    ![X0 : real, X1 : real]:
2.83/3.01	      app_encode_app(real, real, 
2.83/3.01	        app_encode_app(real, app_encode_fun(real, real), times_times(real), 
2.83/3.01	          X1), X0)
2.83/3.01	       = app_encode_app(real, real, 
2.83/3.01	           app_encode_app(real, app_encode_fun(real, real), 
2.83/3.01	             times_times(real), X0), X1),
2.83/3.01	    inference('simplify', [status(thm)], ['13'])).
2.83/3.01	tff('15', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(real, real, 
2.83/3.01	        app_encode_app(real, app_encode_fun(real, real), times_times(real), 
2.83/3.01	          app_encode_app(int, real, number_number_of(real), X0)), 
2.83/3.01	        app_encode_app(int, real, number_number_of(real), X1))
2.83/3.01	       = app_encode_app(int, real, number_number_of(real), 
2.83/3.01	           app_encode_app(int, int, 
2.83/3.01	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	               X1), X0)),
2.83/3.01	    inference('sup+', [status(thm)], ['10', '14'])).
2.83/3.01	tff(zf_stmt_147, axiom, (comm_semiring_1(int))).
2.83/3.01	tff('16', plain, comm_semiring_1(int),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_147])).
2.83/3.01	tff('17', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      (~ $true
2.83/3.01	       | app_encode_app(int, int, 
2.83/3.01	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	             X1), X0)
2.83/3.01	          = app_encode_app(int, int, 
2.83/3.01	              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.01	                times_times(int), X0), X1)),
2.83/3.01	    inference('sup-', [status(thm)], ['16', '12'])).
2.83/3.01	tff('18', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
2.83/3.01	        X0)
2.83/3.01	       = app_encode_app(int, int, 
2.83/3.01	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	             X0), X1),
2.83/3.01	    inference('simplify', [status(thm)], ['17'])).
2.83/3.01	tff(zf_stmt_72, axiom,
2.83/3.01	  (![L:int,K:int]:
2.83/3.01	     (app_encode_app(int,int,
2.83/3.01	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.01	                                    times_times(int),
2.83/3.01	                                    app_encode_app(int,int,bit0,K)),
2.83/3.01	                     L) =
2.83/3.01	      app_encode_app(int,int,bit0,
2.83/3.01	                     app_encode_app(int,int,
2.83/3.01	                                    app_encode_app(int,
2.83/3.01	                                                   app_encode_fun(int,int),
2.83/3.01	                                                   times_times(int),K),
2.83/3.01	                                    L))))).
2.83/3.01	tff('19', plain,
2.83/3.01	    ![X53 : int, X54 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	          app_encode_app(int, int, bit0, X53)), X54)
2.83/3.01	       = app_encode_app(int, int, bit0, 
2.83/3.01	           app_encode_app(int, int, 
2.83/3.01	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	               X53), X54)),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_72])).
2.83/3.01	tff('20', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
2.83/3.01	        app_encode_app(int, int, bit0, X0))
2.83/3.01	       = app_encode_app(int, int, bit0, 
2.83/3.01	           app_encode_app(int, int, 
2.83/3.01	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	               X0), X1)),
2.83/3.01	    inference('sup+', [status(thm)], ['18', '19'])).
2.83/3.01	tff('21', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
2.83/3.01	        app_encode_app(int, int, bit0, X0))
2.83/3.01	       = app_encode_app(int, int, bit0, 
2.83/3.01	           app_encode_app(int, int, 
2.83/3.01	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	               X1), X0)),
2.83/3.01	    inference('sup+', [status(thm)], ['18', '20'])).
2.83/3.01	tff('22', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
2.83/3.01	        app_encode_app(int, int, bit0, X1))
2.83/3.01	       = app_encode_app(int, int, 
2.83/3.01	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	             X1), app_encode_app(int, int, bit0, X0)),
2.83/3.01	    inference('sup+', [status(thm)], ['21', '20'])).
2.83/3.01	tff('23', plain,
2.83/3.01	    ![X0 : int, X1 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
2.83/3.01	        app_encode_app(int, int, bit0, X0))
2.83/3.01	       = app_encode_app(int, int, 
2.83/3.01	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	             app_encode_app(int, int, bit0, X1)), X0),
2.83/3.01	    inference('sup+', [status(thm)], ['22', '18'])).
2.83/3.01	tff(zf_stmt_154, axiom, (number_ring(int))).
2.83/3.01	tff('24', plain, number_ring(int),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_154])).
2.83/3.01	tff(zf_stmt_106, axiom,
2.83/3.01	  (![A:$tType]:
2.83/3.01	     (number_ring(A) =>
2.83/3.01	      (![A1:A]:
2.83/3.01	         (app_encode_app(A,A,
2.83/3.01	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.83/3.01	                                        app_encode_app(int,A,
2.83/3.01	                                                       number_number_of(A),
2.83/3.01	                                                       app_encode_app(
2.83/3.01	                                                       int,int,bit1,pls))),
2.83/3.01	                         A1) =
2.83/3.01	          A1))))).
2.83/3.01	tff('25', plain,
2.83/3.01	    ![X133 : $tType, X134 : X133]:
2.83/3.01	      (app_encode_app(X133, X133, 
2.83/3.01	         app_encode_app(X133, app_encode_fun(X133, X133), times_times(X133), 
2.83/3.01	           app_encode_app(int, X133, number_number_of(X133), 
2.83/3.01	             app_encode_app(int, int, bit1, pls))), X134)
2.83/3.01	        = X134
2.83/3.01	       | ~ number_ring(X133)),
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_106])).
2.83/3.01	tff('26', plain,
2.83/3.01	    ![X133 : $tType, X134 : X133]:
2.83/3.01	      (app_encode_app(X133, X133, 
2.83/3.01	         app_encode_app(X133, app_encode_fun(X133, X133), times_times(X133), 
2.83/3.01	           app_encode_app(int, X133, number_number_of(X133), 
2.83/3.01	             app_encode_app(int, int, bit1, zero_zero(int)))), X134)
2.83/3.01	        = X134
2.83/3.01	       | ~ number_ring(X133)),
2.83/3.01	    inference('demod', [status(thm)], ['25', '1'])).
2.83/3.01	tff('27', plain,
2.83/3.01	    ![X0 : int]:
2.83/3.01	      (~ $true
2.83/3.01	       | app_encode_app(int, int, 
2.83/3.01	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	             app_encode_app(int, int, number_number_of(int), 
2.83/3.01	               app_encode_app(int, int, bit1, zero_zero(int)))), X0)
2.83/3.01	          = X0),
2.83/3.01	    inference('sup-', [status(thm)], ['24', '26'])).
2.83/3.01	tff(zf_stmt_125, axiom,
2.83/3.01	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
2.83/3.01	tff('28', plain,
2.83/3.01	    ![X183 : int]:
2.83/3.01	      app_encode_app(int, int, number_number_of(int), X183) = X183,
2.83/3.01	    inference('cnf', [status(esa)], [zf_stmt_125])).
2.83/3.01	tff('29', plain,
2.83/3.01	    ![X0 : int]:
2.83/3.01	      (~ $true
2.83/3.01	       | app_encode_app(int, int, 
2.83/3.01	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	             app_encode_app(int, int, bit1, zero_zero(int))), X0)
2.83/3.01	          = X0),
2.83/3.01	    inference('demod', [status(thm)], ['27', '28'])).
2.83/3.01	tff('30', plain,
2.83/3.01	    ![X0 : int]:
2.83/3.01	      app_encode_app(int, int, 
2.83/3.01	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.01	          app_encode_app(int, int, bit1, zero_zero(int))), X0)
2.83/3.01	       = X0,
2.83/3.01	    inference('simplify', [status(thm)], ['29'])).
2.83/3.01	tff('31', plain,
2.83/3.01	    app_encode_app(real, real, 
2.83/3.01	      app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.83/3.01	        aa(real, real), sqrt), 
2.83/3.01	      app_encode_app(int, real, number_number_of(real), 
2.83/3.01	        app_encode_app(int, int, bit0, 
2.83/3.01	          app_encode_app(int, int, bit0, 
2.83/3.01	            app_encode_app(int, int, bit1, zero_zero(int))))))
2.83/3.01	     != app_encode_app(real, real, 
2.83/3.01	          app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.83/3.01	            aa(real, real), sqrt), 
2.83/3.01	          app_encode_app(int, real, number_number_of(real), 
2.83/3.01	            app_encode_app(int, int, bit0, 
2.83/3.01	              app_encode_app(int, int, bit0, 
2.83/3.01	                app_encode_app(int, int, bit1, zero_zero(int)))))),
2.83/3.01	    inference('demod', [status(thm)],
2.83/3.01	              ['0', '1', '1', '1', '6', '15', '23', '30'])).
2.83/3.01	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
2.83/3.01	
2.83/3.01	% SZS output end Refutation
2.83/3.01	EOF
