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    : 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
0.00/0.20	% Computer   : n074.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 09:46:09 CST 2018
2.98/3.21	% done 1191 iterations in 3.010s
2.98/3.21	% SZS status Theorem for 'stdin'
2.98/3.21	% SZS output start Refutation
2.98/3.22	tff(zf_stmt_189, conjecture,
2.98/3.22	  (app_encode_app(real,real,
2.98/3.22	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                 aa(real,real),sqrt),
2.98/3.22	                  app_encode_app(int,real,number_number_of(real),
2.98/3.22	                                 app_encode_app(int,int,bit0,
2.98/3.22	                                                app_encode_app(int,int,bit0,
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit1,
2.98/3.22	                                                               pls))))) =
2.98/3.22	   app_encode_app(real,real,
2.98/3.22	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                 aa(real,real),sqrt),
2.98/3.22	                  app_encode_app(nat,real,
2.98/3.22	                                 app_encode_app(real,
2.98/3.22	                                                app_encode_fun(nat,real),
2.98/3.22	                                                power_power(real),
2.98/3.22	                                                app_encode_app(int,real,
2.98/3.22	                                                               number_number_of(
2.98/3.22	                                                               real),
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit0,
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit1,
2.98/3.22	                                                               pls)))),
2.98/3.22	                                 app_encode_app(int,nat,
2.98/3.22	                                                number_number_of(nat),
2.98/3.22	                                                app_encode_app(int,int,bit0,
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit1,
2.98/3.22	                                                               pls))))))).
2.98/3.22	tff(zf_stmt_0, negated_conjecture,
2.98/3.22	  (app_encode_app(real,real,
2.98/3.22	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                 aa(real,real),sqrt),
2.98/3.22	                  app_encode_app(int,real,number_number_of(real),
2.98/3.22	                                 app_encode_app(int,int,bit0,
2.98/3.22	                                                app_encode_app(int,int,bit0,
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit1,
2.98/3.22	                                                               pls))))) !=
2.98/3.22	   app_encode_app(real,real,
2.98/3.22	                  app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                 aa(real,real),sqrt),
2.98/3.22	                  app_encode_app(nat,real,
2.98/3.22	                                 app_encode_app(real,
2.98/3.22	                                                app_encode_fun(nat,real),
2.98/3.22	                                                power_power(real),
2.98/3.22	                                                app_encode_app(int,real,
2.98/3.22	                                                               number_number_of(
2.98/3.22	                                                               real),
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit0,
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit1,
2.98/3.22	                                                               pls)))),
2.98/3.22	                                 app_encode_app(int,nat,
2.98/3.22	                                                number_number_of(nat),
2.98/3.22	                                                app_encode_app(int,int,bit0,
2.98/3.22	                                                               app_encode_app(
2.98/3.22	                                                               int,int,bit1,
2.98/3.22	                                                               pls))))))).
2.98/3.22	tff('0', plain,
2.98/3.22	    app_encode_app(real, real, 
2.98/3.22	      app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	        aa(real, real), sqrt), 
2.98/3.22	      app_encode_app(int, real, number_number_of(real), 
2.98/3.22	        app_encode_app(int, int, bit0, 
2.98/3.22	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.98/3.22	     != app_encode_app(real, real, 
2.98/3.22	          app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	            aa(real, real), sqrt), 
2.98/3.22	          app_encode_app(nat, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	              power_power(real), 
2.98/3.22	              app_encode_app(int, real, number_number_of(real), 
2.98/3.22	                app_encode_app(int, int, bit0, 
2.98/3.22	                  app_encode_app(int, int, bit1, pls)))), 
2.98/3.22	            app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	              app_encode_app(int, int, bit0, 
2.98/3.22	                app_encode_app(int, int, bit1, pls))))),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.98/3.22	tff(zf_stmt_82, axiom,
2.98/3.22	  (![X:real]:
2.98/3.22	     (app_encode_app(real,real,
2.98/3.22	                     app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                    aa(real,real),sqrt),
2.98/3.22	                     app_encode_app(real,real,
2.98/3.22	                                    app_encode_app(real,
2.98/3.22	                                                   app_encode_fun(real,real),
2.98/3.22	                                                   times_times(real),X),
2.98/3.22	                                    X)) =
2.98/3.22	      app_encode_app(real,real,abs_abs(real),X)))).
2.98/3.22	tff('1', plain,
2.98/3.22	    ![X72 : real]:
2.98/3.22	      app_encode_app(real, real, 
2.98/3.22	        app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	          aa(real, real), sqrt), 
2.98/3.22	        app_encode_app(real, real, 
2.98/3.22	          app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	            times_times(real), X72), X72))
2.98/3.22	       = app_encode_app(real, real, abs_abs(real), X72),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_82])).
2.98/3.22	tff(zf_stmt_60, axiom,
2.98/3.22	  (![K:nat,X:real]:
2.98/3.22	     (app_encode_app(real,real,
2.98/3.22	                     app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                    aa(real,real),sqrt),
2.98/3.22	                     app_encode_app(nat,real,
2.98/3.22	                                    app_encode_app(real,
2.98/3.22	                                                   app_encode_fun(nat,real),
2.98/3.22	                                                   power_power(real),X),
2.98/3.22	                                    K)) =
2.98/3.22	      app_encode_app(nat,real,
2.98/3.22	                     app_encode_app(real,app_encode_fun(nat,real),
2.98/3.22	                                    power_power(real),
2.98/3.22	                                    app_encode_app(real,real,
2.98/3.22	                                                   app_encode_app(fun(
2.98/3.22	                                                                  real,real),
2.98/3.22	                                                                  app_encode_fun(
2.98/3.22	                                                                  real,real),
2.98/3.22	                                                                  aa(
2.98/3.22	                                                                  real,real),
2.98/3.22	                                                                  sqrt),
2.98/3.22	                                                   X)),
2.98/3.22	                     K)))).
2.98/3.22	tff('2', plain,
2.98/3.22	    ![X34 : real, X35 : nat]:
2.98/3.22	      app_encode_app(real, real, 
2.98/3.22	        app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	          aa(real, real), sqrt), 
2.98/3.22	        app_encode_app(nat, real, 
2.98/3.22	          app_encode_app(real, app_encode_fun(nat, real), power_power(real), 
2.98/3.22	            X34), X35))
2.98/3.22	       = app_encode_app(nat, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	             power_power(real), 
2.98/3.22	             app_encode_app(real, real, 
2.98/3.22	               app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	                 aa(real, real), sqrt), X34)), X35),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_60])).
2.98/3.22	tff('3', plain,
2.98/3.22	    ![X0 : real, X1 : nat]:
2.98/3.22	      app_encode_app(real, real, 
2.98/3.22	        app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	          aa(real, real), sqrt), 
2.98/3.22	        app_encode_app(nat, real, 
2.98/3.22	          app_encode_app(real, app_encode_fun(nat, real), power_power(real), 
2.98/3.22	            app_encode_app(real, real, 
2.98/3.22	              app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	                times_times(real), X0), X0)), X1))
2.98/3.22	       = app_encode_app(nat, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	             power_power(real), 
2.98/3.22	             app_encode_app(real, real, abs_abs(real), X0)), X1),
2.98/3.22	    inference('sup+', [status(thm)], ['1', '2'])).
2.98/3.22	tff(zf_stmt_61, axiom,
2.98/3.22	  (![X:real]:
2.98/3.22	     (app_encode_app(real,real,
2.98/3.22	                     app_encode_app(fun(real,real),app_encode_fun(real,real),
2.98/3.22	                                    aa(real,real),sqrt),
2.98/3.22	                     app_encode_app(nat,real,
2.98/3.22	                                    app_encode_app(real,
2.98/3.22	                                                   app_encode_fun(nat,real),
2.98/3.22	                                                   power_power(real),X),
2.98/3.22	                                    app_encode_app(int,nat,
2.98/3.22	                                                   number_number_of(nat),
2.98/3.22	                                                   app_encode_app(int,int,
2.98/3.22	                                                                  bit0,
2.98/3.22	                                                                  app_encode_app(
2.98/3.22	                                                                  int,int,
2.98/3.22	                                                                  bit1,pls))))) =
2.98/3.22	      app_encode_app(real,real,abs_abs(real),X)))).
2.98/3.22	tff('4', plain,
2.98/3.22	    ![X36 : real]:
2.98/3.22	      app_encode_app(real, real, 
2.98/3.22	        app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	          aa(real, real), sqrt), 
2.98/3.22	        app_encode_app(nat, real, 
2.98/3.22	          app_encode_app(real, app_encode_fun(nat, real), power_power(real), 
2.98/3.22	            X36), 
2.98/3.22	          app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	            app_encode_app(int, int, bit0, 
2.98/3.22	              app_encode_app(int, int, bit1, pls)))))
2.98/3.22	       = app_encode_app(real, real, abs_abs(real), X36),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_61])).
2.98/3.22	tff('5', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      app_encode_app(nat, real, 
2.98/3.22	        app_encode_app(real, app_encode_fun(nat, real), power_power(real), 
2.98/3.22	          app_encode_app(real, real, abs_abs(real), X0)), 
2.98/3.22	        app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
2.98/3.22	       = app_encode_app(real, real, abs_abs(real), 
2.98/3.22	           app_encode_app(real, real, 
2.98/3.22	             app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	               times_times(real), X0), X0)),
2.98/3.22	    inference('sup+', [status(thm)], ['3', '4'])).
2.98/3.22	tff(zf_stmt_86, axiom,
2.98/3.22	  (![A:$tType]:
2.98/3.22	     (linordered_idom(A) =>
2.98/3.22	      (![A1:A]:
2.98/3.22	         (app_encode_app(nat,A,
2.98/3.22	                         app_encode_app(A,app_encode_fun(nat,A),
2.98/3.22	                                        power_power(A),
2.98/3.22	                                        app_encode_app(A,A,abs_abs(A),A1)),
2.98/3.22	                         app_encode_app(int,nat,number_number_of(nat),
2.98/3.22	                                        app_encode_app(int,int,bit0,
2.98/3.22	                                                       app_encode_app(
2.98/3.22	                                                       int,int,bit1,pls)))) =
2.98/3.22	          app_encode_app(nat,A,
2.98/3.22	                         app_encode_app(A,app_encode_fun(nat,A),
2.98/3.22	                                        power_power(A),A1),
2.98/3.22	                         app_encode_app(int,nat,number_number_of(nat),
2.98/3.22	                                        app_encode_app(int,int,bit0,
2.98/3.22	                                                       app_encode_app(
2.98/3.22	                                                       int,int,bit1,pls))))))))).
2.98/3.22	tff('6', plain,
2.98/3.22	    ![X85 : $tType, X86 : X85]:
2.98/3.22	      (app_encode_app(nat, X85, 
2.98/3.22	         app_encode_app(X85, app_encode_fun(nat, X85), power_power(X85), 
2.98/3.22	           app_encode_app(X85, X85, abs_abs(X85), X86)), 
2.98/3.22	         app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	           app_encode_app(int, int, bit0, 
2.98/3.22	             app_encode_app(int, int, bit1, pls))))
2.98/3.22	        = app_encode_app(nat, X85, 
2.98/3.22	            app_encode_app(X85, app_encode_fun(nat, X85), power_power(X85), 
2.98/3.22	              X86), 
2.98/3.22	            app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	              app_encode_app(int, int, bit0, 
2.98/3.22	                app_encode_app(int, int, bit1, pls))))
2.98/3.22	       | ~ linordered_idom(X85)),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_86])).
2.98/3.22	tff('7', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), X0), X0))
2.98/3.22	        = app_encode_app(nat, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	              power_power(real), X0), 
2.98/3.22	            app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	              app_encode_app(int, int, bit0, 
2.98/3.22	                app_encode_app(int, int, bit1, pls))))
2.98/3.22	       | ~ linordered_idom(real)),
2.98/3.22	    inference('sup+', [status(thm)], ['5', '6'])).
2.98/3.22	tff(zf_stmt_174, axiom, (linordered_idom(real))).
2.98/3.22	tff('8', plain, linordered_idom(real),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_174])).
2.98/3.22	tff('9', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), X0), X0))
2.98/3.22	        = app_encode_app(nat, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	              power_power(real), X0), 
2.98/3.22	            app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	              app_encode_app(int, int, bit0, 
2.98/3.22	                app_encode_app(int, int, bit1, pls))))
2.98/3.22	       | ~ $true),
2.98/3.22	    inference('demod', [status(thm)], ['7', '8'])).
2.98/3.22	tff('10', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      app_encode_app(real, real, abs_abs(real), 
2.98/3.22	        app_encode_app(real, real, 
2.98/3.22	          app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	            times_times(real), X0), X0))
2.98/3.22	       = app_encode_app(nat, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	             power_power(real), X0), 
2.98/3.22	           app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	             app_encode_app(int, int, bit0, 
2.98/3.22	               app_encode_app(int, int, bit1, pls)))),
2.98/3.22	    inference('simplify', [status(thm)], ['9'])).
2.98/3.22	tff(zf_stmt_110, axiom,
2.98/3.22	  (![A:$tType]:
2.98/3.22	     (monoid_mult(A) =>
2.98/3.22	      (![A1:A]:
2.98/3.22	         (app_encode_app(nat,A,
2.98/3.22	                         app_encode_app(A,app_encode_fun(nat,A),
2.98/3.22	                                        power_power(A),A1),
2.98/3.22	                         app_encode_app(int,nat,number_number_of(nat),
2.98/3.22	                                        app_encode_app(int,int,bit0,
2.98/3.22	                                                       app_encode_app(
2.98/3.22	                                                       int,int,bit1,pls)))) =
2.98/3.22	          app_encode_app(A,A,
2.98/3.22	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.98/3.22	                                        A1),
2.98/3.22	                         A1)))))).
2.98/3.22	tff('11', plain,
2.98/3.22	    ![X140 : $tType, X141 : X140]:
2.98/3.22	      (app_encode_app(nat, X140, 
2.98/3.22	         app_encode_app(X140, app_encode_fun(nat, X140), power_power(X140), 
2.98/3.22	           X141), 
2.98/3.22	         app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	           app_encode_app(int, int, bit0, 
2.98/3.22	             app_encode_app(int, int, bit1, pls))))
2.98/3.22	        = app_encode_app(X140, X140, 
2.98/3.22	            app_encode_app(X140, app_encode_fun(X140, X140), 
2.98/3.22	              times_times(X140), X141), X141)
2.98/3.22	       | ~ monoid_mult(X140)),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_110])).
2.98/3.22	tff('12', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), X0), X0))
2.98/3.22	        = app_encode_app(real, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	              times_times(real), X0), X0)
2.98/3.22	       | ~ monoid_mult(real)),
2.98/3.22	    inference('sup+', [status(thm)], ['10', '11'])).
2.98/3.22	tff(zf_stmt_179, axiom, (monoid_mult(real))).
2.98/3.22	tff('13', plain, monoid_mult(real),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_179])).
2.98/3.22	tff('14', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), X0), X0))
2.98/3.22	        = app_encode_app(real, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	              times_times(real), X0), X0)
2.98/3.22	       | ~ $true),
2.98/3.22	    inference('demod', [status(thm)], ['12', '13'])).
2.98/3.22	tff('15', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      app_encode_app(real, real, abs_abs(real), 
2.98/3.22	        app_encode_app(real, real, 
2.98/3.22	          app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	            times_times(real), X0), X0))
2.98/3.22	       = app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), X0), X0),
2.98/3.22	    inference('simplify', [status(thm)], ['14'])).
2.98/3.22	tff('16', plain,
2.98/3.22	    ![X0 : real]:
2.98/3.22	      app_encode_app(real, real, 
2.98/3.22	        app_encode_app(real, app_encode_fun(real, real), times_times(real), 
2.98/3.22	          X0), X0)
2.98/3.22	       = app_encode_app(nat, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(nat, real), 
2.98/3.22	             power_power(real), X0), 
2.98/3.22	           app_encode_app(int, nat, number_number_of(nat), 
2.98/3.22	             app_encode_app(int, int, bit0, 
2.98/3.22	               app_encode_app(int, int, bit1, pls)))),
2.98/3.22	    inference('demod', [status(thm)], ['10', '15'])).
2.98/3.22	tff(zf_stmt_76, axiom,
2.98/3.22	  (![A:$tType]:
2.98/3.22	     (number_ring(A) =>
2.98/3.22	      (![W:int,V:int]:
2.98/3.22	         (app_encode_app(A,A,
2.98/3.22	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.98/3.22	                                        app_encode_app(int,A,
2.98/3.22	                                                       number_number_of(A),V)),
2.98/3.22	                         app_encode_app(int,A,number_number_of(A),W)) =
2.98/3.22	          app_encode_app(int,A,number_number_of(A),
2.98/3.22	                         app_encode_app(int,int,
2.98/3.22	                                        app_encode_app(int,
2.98/3.22	                                                       app_encode_fun(
2.98/3.22	                                                       int,int),
2.98/3.22	                                                       times_times(int),V),
2.98/3.22	                                        W))))))).
2.98/3.22	tff('17', plain,
2.98/3.22	    ![X58 : $tType, X59 : int, X60 : int]:
2.98/3.22	      (app_encode_app(X58, X58, 
2.98/3.22	         app_encode_app(X58, app_encode_fun(X58, X58), times_times(X58), 
2.98/3.22	           app_encode_app(int, X58, number_number_of(X58), X59)), 
2.98/3.22	         app_encode_app(int, X58, number_number_of(X58), X60))
2.98/3.22	        = app_encode_app(int, X58, number_number_of(X58), 
2.98/3.22	            app_encode_app(int, int, 
2.98/3.22	              app_encode_app(int, app_encode_fun(int, int), 
2.98/3.22	                times_times(int), X59), X60))
2.98/3.22	       | ~ number_ring(X58)),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_76])).
2.98/3.22	tff('18', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(int, real, number_number_of(real), 
2.98/3.22	           app_encode_app(int, int, 
2.98/3.22	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	               X0), X0)))
2.98/3.22	        = app_encode_app(real, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	              times_times(real), 
2.98/3.22	              app_encode_app(int, real, number_number_of(real), X0)), 
2.98/3.22	            app_encode_app(int, real, number_number_of(real), X0))
2.98/3.22	       | ~ number_ring(real)),
2.98/3.22	    inference('sup+', [status(thm)], ['17', '15'])).
2.98/3.22	tff(zf_stmt_183, axiom, (number_ring(real))).
2.98/3.22	tff('19', plain, number_ring(real),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_183])).
2.98/3.22	tff('20', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(int, real, number_number_of(real), 
2.98/3.22	           app_encode_app(int, int, 
2.98/3.22	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	               X0), X0)))
2.98/3.22	        = app_encode_app(real, real, 
2.98/3.22	            app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	              times_times(real), 
2.98/3.22	              app_encode_app(int, real, number_number_of(real), X0)), 
2.98/3.22	            app_encode_app(int, real, number_number_of(real), X0))
2.98/3.22	       | ~ $true),
2.98/3.22	    inference('demod', [status(thm)], ['18', '19'])).
2.98/3.22	tff('21', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      app_encode_app(real, real, abs_abs(real), 
2.98/3.22	        app_encode_app(int, real, number_number_of(real), 
2.98/3.22	          app_encode_app(int, int, 
2.98/3.22	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	              X0), X0)))
2.98/3.22	       = app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), 
2.98/3.22	             app_encode_app(int, real, number_number_of(real), X0)), 
2.98/3.22	           app_encode_app(int, real, number_number_of(real), X0)),
2.98/3.22	    inference('simplify', [status(thm)], ['20'])).
2.98/3.22	tff('22', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(int, real, number_number_of(real), 
2.98/3.22	           app_encode_app(int, int, 
2.98/3.22	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	               X0), X0)))
2.98/3.22	        = app_encode_app(int, real, number_number_of(real), 
2.98/3.22	            app_encode_app(int, int, 
2.98/3.22	              app_encode_app(int, app_encode_fun(int, int), 
2.98/3.22	                times_times(int), X0), X0))
2.98/3.22	       | ~ number_ring(real)),
2.98/3.22	    inference('sup+', [status(thm)], ['17', '21'])).
2.98/3.22	tff('23', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      (app_encode_app(real, real, abs_abs(real), 
2.98/3.22	         app_encode_app(int, real, number_number_of(real), 
2.98/3.22	           app_encode_app(int, int, 
2.98/3.22	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	               X0), X0)))
2.98/3.22	        = app_encode_app(int, real, number_number_of(real), 
2.98/3.22	            app_encode_app(int, int, 
2.98/3.22	              app_encode_app(int, app_encode_fun(int, int), 
2.98/3.22	                times_times(int), X0), X0))
2.98/3.22	       | ~ $true),
2.98/3.22	    inference('demod', [status(thm)], ['22', '19'])).
2.98/3.22	tff('24', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      app_encode_app(real, real, abs_abs(real), 
2.98/3.22	        app_encode_app(int, real, number_number_of(real), 
2.98/3.22	          app_encode_app(int, int, 
2.98/3.22	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	              X0), X0)))
2.98/3.22	       = app_encode_app(int, real, number_number_of(real), 
2.98/3.22	           app_encode_app(int, int, 
2.98/3.22	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	               X0), X0)),
2.98/3.22	    inference('simplify', [status(thm)], ['23'])).
2.98/3.22	tff('25', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      app_encode_app(int, real, number_number_of(real), 
2.98/3.22	        app_encode_app(int, int, 
2.98/3.22	          app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
2.98/3.22	          X0))
2.98/3.22	       = app_encode_app(real, real, 
2.98/3.22	           app_encode_app(real, app_encode_fun(real, real), 
2.98/3.22	             times_times(real), 
2.98/3.22	             app_encode_app(int, real, number_number_of(real), X0)), 
2.98/3.22	           app_encode_app(int, real, number_number_of(real), X0)),
2.98/3.22	    inference('demod', [status(thm)], ['21', '24'])).
2.98/3.22	tff(zf_stmt_72, axiom,
2.98/3.22	  (![L:int,K:int]:
2.98/3.22	     (app_encode_app(int,int,
2.98/3.22	                     app_encode_app(int,app_encode_fun(int,int),
2.98/3.22	                                    times_times(int),
2.98/3.22	                                    app_encode_app(int,int,bit0,K)),
2.98/3.22	                     L) =
2.98/3.22	      app_encode_app(int,int,bit0,
2.98/3.22	                     app_encode_app(int,int,
2.98/3.22	                                    app_encode_app(int,
2.98/3.22	                                                   app_encode_fun(int,int),
2.98/3.22	                                                   times_times(int),K),
2.98/3.22	                                    L))))).
2.98/3.22	tff('26', plain,
2.98/3.22	    ![X53 : int, X54 : int]:
2.98/3.22	      app_encode_app(int, int, 
2.98/3.22	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	          app_encode_app(int, int, bit0, X53)), X54)
2.98/3.22	       = app_encode_app(int, int, bit0, 
2.98/3.22	           app_encode_app(int, int, 
2.98/3.22	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	               X53), X54)),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_72])).
2.98/3.22	tff(zf_stmt_125, axiom,
2.98/3.22	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
2.98/3.22	tff('27', plain,
2.98/3.22	    ![X183 : int]:
2.98/3.22	      app_encode_app(int, int, number_number_of(int), X183) = X183,
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_125])).
2.98/3.22	tff(zf_stmt_106, axiom,
2.98/3.22	  (![A:$tType]:
2.98/3.22	     (number_ring(A) =>
2.98/3.22	      (![A1:A]:
2.98/3.22	         (app_encode_app(A,A,
2.98/3.22	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
2.98/3.22	                                        app_encode_app(int,A,
2.98/3.22	                                                       number_number_of(A),
2.98/3.22	                                                       app_encode_app(
2.98/3.22	                                                       int,int,bit1,pls))),
2.98/3.22	                         A1) =
2.98/3.22	          A1))))).
2.98/3.22	tff('28', plain,
2.98/3.22	    ![X133 : $tType, X134 : X133]:
2.98/3.22	      (app_encode_app(X133, X133, 
2.98/3.22	         app_encode_app(X133, app_encode_fun(X133, X133), times_times(X133), 
2.98/3.22	           app_encode_app(int, X133, number_number_of(X133), 
2.98/3.22	             app_encode_app(int, int, bit1, pls))), X134)
2.98/3.22	        = X134
2.98/3.22	       | ~ number_ring(X133)),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_106])).
2.98/3.22	tff('29', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      (app_encode_app(int, int, 
2.98/3.22	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	           app_encode_app(int, int, bit1, pls)), X0)
2.98/3.22	        = X0
2.98/3.22	       | ~ number_ring(int)),
2.98/3.22	    inference('sup+', [status(thm)], ['27', '28'])).
2.98/3.22	tff(zf_stmt_154, axiom, (number_ring(int))).
2.98/3.22	tff('30', plain, number_ring(int),
2.98/3.22	    inference('cnf', [status(esa)], [zf_stmt_154])).
2.98/3.22	tff('31', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      (app_encode_app(int, int, 
2.98/3.22	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	           app_encode_app(int, int, bit1, pls)), X0)
2.98/3.22	        = X0
2.98/3.22	       | ~ $true),
2.98/3.22	    inference('demod', [status(thm)], ['29', '30'])).
2.98/3.22	tff('32', plain,
2.98/3.22	    ![X0 : int]:
2.98/3.22	      app_encode_app(int, int, 
2.98/3.22	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.98/3.22	          app_encode_app(int, int, bit1, pls)), X0)
2.98/3.22	       = X0,
2.98/3.22	    inference('simplify', [status(thm)], ['31'])).
2.98/3.22	tff('33', plain,
2.98/3.22	    app_encode_app(real, real, 
2.98/3.22	      app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	        aa(real, real), sqrt), 
2.98/3.22	      app_encode_app(int, real, number_number_of(real), 
2.98/3.22	        app_encode_app(int, int, bit0, 
2.98/3.22	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.98/3.22	     != app_encode_app(real, real, 
2.98/3.22	          app_encode_app(fun(real, real), app_encode_fun(real, real), 
2.98/3.22	            aa(real, real), sqrt), 
2.98/3.22	          app_encode_app(int, real, number_number_of(real), 
2.98/3.22	            app_encode_app(int, int, bit0, 
2.98/3.22	              app_encode_app(int, int, bit0, 
2.98/3.22	                app_encode_app(int, int, bit1, pls))))),
2.98/3.22	    inference('demod', [status(thm)], ['0', '16', '25', '26', '32'])).
2.98/3.22	tff('34', plain, $false, inference('simplify', [status(thm)], ['33'])).
2.98/3.22	
2.98/3.22	% SZS output end Refutation
2.98/3.22	EOF
