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   : n089.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 08:18:38 CST 2018
2.23/2.44	% done 941 iterations in 2.233s
2.23/2.44	% SZS status Theorem for 'stdin'
2.23/2.44	% SZS output start Refutation
2.23/2.44	tff(zf_stmt_145, conjecture,
2.23/2.44	  (app_encode_app(int,int,
2.23/2.44	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                 times_times(int),
2.23/2.44	                                 app_encode_app(int,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               times_times(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                                                app_encode_app(int,int,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               plus_plus(int),
2.23/2.44	                                                               one_one(int)),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               nat,int,
2.23/2.44	                                                               semiring_1_of_nat(
2.23/2.44	                                                               int),n)))),
2.23/2.44	                  m1) =
2.23/2.44	   app_encode_app(int,int,
2.23/2.44	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.23/2.44	                                 app_encode_app(int,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               times_times(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                                                app_encode_app(nat,int,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               nat,int),
2.23/2.44	                                                               power_power(
2.23/2.44	                                                               int),v),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,nat,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               nat),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls)))))),
2.23/2.44	                  app_encode_app(int,int,
2.23/2.44	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                                times_times(int),
2.23/2.44	                                                app_encode_app(int,int,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                                 app_encode_app(nat,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               nat,int),
2.23/2.44	                                                               power_power(
2.23/2.44	                                                               int),w),
2.23/2.44	                                                app_encode_app(int,nat,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               nat),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls)))))))).
2.23/2.44	tff(zf_stmt_0, negated_conjecture,
2.23/2.44	  (app_encode_app(int,int,
2.23/2.44	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                 times_times(int),
2.23/2.44	                                 app_encode_app(int,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               times_times(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                                                app_encode_app(int,int,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               plus_plus(int),
2.23/2.44	                                                               one_one(int)),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               nat,int,
2.23/2.44	                                                               semiring_1_of_nat(
2.23/2.44	                                                               int),n)))),
2.23/2.44	                  m1) !=
2.23/2.44	   app_encode_app(int,int,
2.23/2.44	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.23/2.44	                                 app_encode_app(int,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               times_times(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                                                app_encode_app(nat,int,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               nat,int),
2.23/2.44	                                                               power_power(
2.23/2.44	                                                               int),v),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,nat,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               nat),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls)))))),
2.23/2.44	                  app_encode_app(int,int,
2.23/2.44	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                                times_times(int),
2.23/2.44	                                                app_encode_app(int,int,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               int),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                                 app_encode_app(nat,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               nat,int),
2.23/2.44	                                                               power_power(
2.23/2.44	                                                               int),w),
2.23/2.44	                                                app_encode_app(int,nat,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               nat),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls)))))))).
2.23/2.44	tff('0', plain,
2.23/2.44	    app_encode_app(int, int, 
2.23/2.44	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	        app_encode_app(int, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	            app_encode_app(int, int, number_number_of(int), 
2.23/2.44	              app_encode_app(int, int, bit0, 
2.23/2.44	                app_encode_app(int, int, bit0, 
2.23/2.44	                  app_encode_app(int, int, bit1, pls))))), 
2.23/2.44	          app_encode_app(int, int, 
2.23/2.44	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	              one_one(int)), 
2.23/2.44	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), m1)
2.23/2.44	     != app_encode_app(int, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	            app_encode_app(int, int, 
2.23/2.44	              app_encode_app(int, app_encode_fun(int, int), 
2.23/2.44	                times_times(int), 
2.23/2.44	                app_encode_app(int, int, number_number_of(int), 
2.23/2.44	                  app_encode_app(int, int, bit0, 
2.23/2.44	                    app_encode_app(int, int, bit0, 
2.23/2.44	                      app_encode_app(int, int, bit1, pls))))), 
2.23/2.44	              app_encode_app(nat, int, 
2.23/2.44	                app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.44	                  power_power(int), v), 
2.23/2.44	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	                  app_encode_app(int, int, bit0, 
2.23/2.44	                    app_encode_app(int, int, bit1, pls)))))), 
2.23/2.44	          app_encode_app(int, int, 
2.23/2.44	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	              app_encode_app(int, int, number_number_of(int), 
2.23/2.44	                app_encode_app(int, int, bit0, 
2.23/2.44	                  app_encode_app(int, int, bit0, 
2.23/2.44	                    app_encode_app(int, int, bit1, pls))))), 
2.23/2.44	            app_encode_app(nat, int, 
2.23/2.44	              app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.44	                power_power(int), w), 
2.23/2.44	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	                app_encode_app(int, int, bit0, 
2.23/2.44	                  app_encode_app(int, int, bit1, pls)))))),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.23/2.44	tff(zf_stmt_121, axiom,
2.23/2.44	  (one_one(int) =
2.23/2.44	   app_encode_app(int,int,number_number_of(int),
2.23/2.44	                  app_encode_app(int,int,bit1,pls)))).
2.23/2.44	tff('1', plain,
2.23/2.44	    one_one(int)
2.23/2.44	     = app_encode_app(int, int, number_number_of(int), 
2.23/2.44	         app_encode_app(int, int, bit1, pls)),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_121])).
2.23/2.44	tff(zf_stmt_100, axiom,
2.23/2.44	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
2.23/2.44	tff('2', plain,
2.23/2.44	    ![X143 : int]:
2.23/2.44	      app_encode_app(int, int, number_number_of(int), X143) = X143,
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_100])).
2.23/2.44	tff('3', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
2.23/2.44	    inference('demod', [status(thm)], ['1', '2'])).
2.23/2.44	tff(zf_stmt_62, axiom,
2.23/2.44	  (![L1:int,K:int]:
2.23/2.44	     (app_encode_app(int,int,
2.23/2.44	                     app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                    times_times(int),
2.23/2.44	                                    app_encode_app(int,int,bit0,K)),
2.23/2.44	                     L1) =
2.23/2.44	      app_encode_app(int,int,bit0,
2.23/2.44	                     app_encode_app(int,int,
2.23/2.44	                                    app_encode_app(int,
2.23/2.44	                                                   app_encode_fun(int,int),
2.23/2.44	                                                   times_times(int),K),
2.23/2.44	                                    L1))))).
2.23/2.44	tff('4', plain,
2.23/2.44	    ![X47 : int, X48 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	          app_encode_app(int, int, bit0, X47)), X48)
2.23/2.44	       = app_encode_app(int, int, bit0, 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	               X47), X48)),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_62])).
2.23/2.44	tff(zf_stmt_61, axiom,
2.23/2.44	  (![W:int]:
2.23/2.44	     (app_encode_app(int,int,
2.23/2.44	                     app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                    times_times(int),pls),
2.23/2.44	                     W) =
2.23/2.44	      pls))).
2.23/2.44	tff('5', plain,
2.23/2.44	    ![X46 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
2.23/2.44	        X46)
2.23/2.44	       = pls,
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_61])).
2.23/2.44	tff(zf_stmt_40, axiom,
2.23/2.44	  (![L1:int,K:int]:
2.23/2.44	     (app_encode_app(int,int,
2.23/2.44	                     app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                    times_times(int),
2.23/2.44	                                    app_encode_app(int,int,bit1,K)),
2.23/2.44	                     L1) =
2.23/2.44	      app_encode_app(int,int,
2.23/2.44	                     app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                    plus_plus(int),
2.23/2.44	                                    app_encode_app(int,int,bit0,
2.23/2.44	                                                   app_encode_app(int,int,
2.23/2.44	                                                                  app_encode_app(
2.23/2.44	                                                                  int,
2.23/2.44	                                                                  app_encode_fun(
2.23/2.44	                                                                  int,int),
2.23/2.44	                                                                  times_times(
2.23/2.44	                                                                  int),K),L1))),
2.23/2.44	                     L1)))).
2.23/2.44	tff('6', plain,
2.23/2.44	    ![X8 : int, X9 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	          app_encode_app(int, int, bit1, X8)), X9)
2.23/2.44	       = app_encode_app(int, int, 
2.23/2.44	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	             app_encode_app(int, int, bit0, 
2.23/2.44	               app_encode_app(int, int, 
2.23/2.44	                 app_encode_app(int, app_encode_fun(int, int), 
2.23/2.44	                   times_times(int), X8), X9))), X9),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_40])).
2.23/2.44	tff('7', plain,
2.23/2.44	    ![X0 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	          app_encode_app(int, int, bit1, pls)), X0)
2.23/2.44	       = app_encode_app(int, int, 
2.23/2.44	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	             app_encode_app(int, int, bit0, pls)), X0),
2.23/2.44	    inference('sup+', [status(thm)], ['5', '6'])).
2.23/2.44	tff(zf_stmt_57, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
2.23/2.44	tff('8', plain, app_encode_app(int, int, bit0, pls) = pls,
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_57])).
2.23/2.44	tff(zf_stmt_104, axiom,
2.23/2.44	  (![K:int]:
2.23/2.44	     (app_encode_app(int,int,
2.23/2.44	                     app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                    plus_plus(int),pls),
2.23/2.44	                     K) =
2.23/2.44	      K))).
2.23/2.44	tff('9', plain,
2.23/2.44	    ![X151 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
2.23/2.44	        X151)
2.23/2.44	       = X151,
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_104])).
2.23/2.44	tff('10', plain,
2.23/2.44	    ![X0 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	          one_one(int)), X0)
2.23/2.44	       = X0,
2.23/2.44	    inference('demod', [status(thm)], ['7', '3', '8', '9'])).
2.23/2.44	tff(zf_stmt_35, axiom,
2.23/2.44	  (![B:$tType]:
2.23/2.44	     ((monoid_mult(B) & number(B)) =>
2.23/2.44	      (![W:int]:
2.23/2.44	         (app_encode_app(nat,B,
2.23/2.44	                         app_encode_app(B,app_encode_fun(nat,B),
2.23/2.44	                                        power_power(B),
2.23/2.44	                                        app_encode_app(int,B,
2.23/2.44	                                                       number_number_of(B),W)),
2.23/2.44	                         app_encode_app(int,nat,number_number_of(nat),
2.23/2.44	                                        app_encode_app(int,int,bit0,
2.23/2.44	                                                       app_encode_app(
2.23/2.44	                                                       int,int,bit1,pls)))) =
2.23/2.44	          app_encode_app(B,B,
2.23/2.44	                         app_encode_app(B,app_encode_fun(B,B),times_times(B),
2.23/2.44	                                        app_encode_app(int,B,
2.23/2.44	                                                       number_number_of(B),W)),
2.23/2.44	                         app_encode_app(int,B,number_number_of(B),W))))))).
2.23/2.44	tff('11', plain,
2.23/2.44	    ![X0 : $tType, X1 : int]:
2.23/2.44	      (app_encode_app(nat, X0, 
2.23/2.44	         app_encode_app(X0, app_encode_fun(nat, X0), power_power(X0), 
2.23/2.44	           app_encode_app(int, X0, number_number_of(X0), X1)), 
2.23/2.44	         app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	           app_encode_app(int, int, bit0, 
2.23/2.44	             app_encode_app(int, int, bit1, pls))))
2.23/2.44	        = app_encode_app(X0, X0, 
2.23/2.44	            app_encode_app(X0, app_encode_fun(X0, X0), times_times(X0), 
2.23/2.44	              app_encode_app(int, X0, number_number_of(X0), X1)), 
2.23/2.44	            app_encode_app(int, X0, number_number_of(X0), X1))
2.23/2.44	       | ~ number(X0)
2.23/2.44	       | ~ monoid_mult(X0)),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_35])).
2.23/2.44	tff('12', plain,
2.23/2.44	    ![X0 : $tType, X1 : int]:
2.23/2.44	      (app_encode_app(nat, X0, 
2.23/2.44	         app_encode_app(X0, app_encode_fun(nat, X0), power_power(X0), 
2.23/2.44	           app_encode_app(int, X0, number_number_of(X0), X1)), 
2.23/2.44	         app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	           app_encode_app(int, int, bit0, one_one(int))))
2.23/2.44	        = app_encode_app(X0, X0, 
2.23/2.44	            app_encode_app(X0, app_encode_fun(X0, X0), times_times(X0), 
2.23/2.44	              app_encode_app(int, X0, number_number_of(X0), X1)), 
2.23/2.44	            app_encode_app(int, X0, number_number_of(X0), X1))
2.23/2.44	       | ~ number(X0)
2.23/2.44	       | ~ monoid_mult(X0)),
2.23/2.44	    inference('demod', [status(thm)], ['11', '3'])).
2.23/2.44	tff('13', plain,
2.23/2.44	    ![X0 : int]:
2.23/2.44	      (app_encode_app(nat, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
2.23/2.44	         app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	           app_encode_app(int, int, bit0, one_one(int))))
2.23/2.44	        = app_encode_app(int, int, 
2.23/2.44	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	              app_encode_app(int, int, number_number_of(int), X0)), 
2.23/2.44	            app_encode_app(int, int, number_number_of(int), X0))
2.23/2.44	       | ~ monoid_mult(int)
2.23/2.44	       | ~ number(int)),
2.23/2.44	    inference('sup+', [status(thm)], ['2', '12'])).
2.23/2.44	tff(zf_stmt_132, axiom, (monoid_mult(int))).
2.23/2.44	tff('14', plain, monoid_mult(int),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_132])).
2.23/2.44	tff(zf_stmt_137, axiom, (number(int))).
2.23/2.44	tff('15', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_137])).
2.23/2.44	tff('16', plain,
2.23/2.44	    ![X0 : int]:
2.23/2.44	      (app_encode_app(nat, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
2.23/2.44	         app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	           app_encode_app(int, int, bit0, one_one(int))))
2.23/2.44	        = app_encode_app(int, int, 
2.23/2.44	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	              X0), X0)
2.23/2.44	       | ~ $true
2.23/2.44	       | ~ $true),
2.23/2.44	    inference('demod', [status(thm)], ['13', '2', '2', '14', '15'])).
2.23/2.44	tff('17', plain,
2.23/2.44	    ![X0 : int]:
2.23/2.44	      app_encode_app(nat, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
2.23/2.44	        app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	          app_encode_app(int, int, bit0, one_one(int))))
2.23/2.44	       = app_encode_app(int, int, 
2.23/2.44	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	             X0), X0),
2.23/2.44	    inference('simplify', [status(thm)], ['16'])).
2.23/2.44	tff(zf_stmt_63, axiom,
2.23/2.44	  (![L1:int,K:int]:
2.23/2.44	     (app_encode_app(int,int,
2.23/2.44	                     app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                    plus_plus(int),
2.23/2.44	                                    app_encode_app(int,int,bit0,K)),
2.23/2.44	                     app_encode_app(int,int,bit0,L1)) =
2.23/2.44	      app_encode_app(int,int,bit0,
2.23/2.44	                     app_encode_app(int,int,
2.23/2.44	                                    app_encode_app(int,
2.23/2.44	                                                   app_encode_fun(int,int),
2.23/2.44	                                                   plus_plus(int),K),
2.23/2.44	                                    L1))))).
2.23/2.44	tff('18', plain,
2.23/2.44	    ![X49 : int, X50 : int]:
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	          app_encode_app(int, int, bit0, X49)), 
2.23/2.44	        app_encode_app(int, int, bit0, X50))
2.23/2.44	       = app_encode_app(int, int, bit0, 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	               X49), X50)),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_63])).
2.23/2.44	tff('19', plain,
2.23/2.44	    app_encode_app(int, int, bit0, 
2.23/2.44	      app_encode_app(int, int, bit0, 
2.23/2.44	        app_encode_app(int, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	            app_encode_app(int, int, 
2.23/2.44	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	                one_one(int)), 
2.23/2.44	              app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)))
2.23/2.44	     != app_encode_app(int, int, bit0, 
2.23/2.44	          app_encode_app(int, int, bit0, 
2.23/2.44	            app_encode_app(int, int, 
2.23/2.44	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	                app_encode_app(int, int, 
2.23/2.44	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.44	                    times_times(int), v), v)), 
2.23/2.44	              app_encode_app(int, int, 
2.23/2.44	                app_encode_app(int, app_encode_fun(int, int), 
2.23/2.44	                  times_times(int), w), w)))),
2.23/2.44	    inference('demod', [status(thm)],
2.23/2.44	              ['0', '3', '2', '4', '4', '10', '4', '4', '3', '2', '3', '17', 
2.23/2.44	               '4', '4', '10', '3', '2', '3', '17', '4', '4', '10', '18', 
2.23/2.44	               '18'])).
2.23/2.44	tff(zf_stmt_34, axiom,
2.23/2.44	  (~
2.23/2.44	    (![M1:int]:
2.23/2.44	       (app_encode_app(int,int,
2.23/2.44	                       app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                      plus_plus(int),
2.23/2.44	                                      app_encode_app(nat,int,
2.23/2.44	                                                     app_encode_app(int,
2.23/2.44	                                                                    app_encode_fun(
2.23/2.44	                                                                    nat,int),
2.23/2.44	                                                                    power_power(
2.23/2.44	                                                                    int),v),
2.23/2.44	                                                     app_encode_app(int,nat,
2.23/2.44	                                                                    number_number_of(
2.23/2.44	                                                                    nat),
2.23/2.44	                                                                    app_encode_app(
2.23/2.44	                                                                    int,int,
2.23/2.44	                                                                    bit0,
2.23/2.44	                                                                    app_encode_app(
2.23/2.44	                                                                    int,int,
2.23/2.44	                                                                    bit1,pls))))),
2.23/2.44	                       app_encode_app(nat,int,
2.23/2.44	                                      app_encode_app(int,
2.23/2.44	                                                     app_encode_fun(nat,int),
2.23/2.44	                                                     power_power(int),w),
2.23/2.44	                                      app_encode_app(int,nat,
2.23/2.44	                                                     number_number_of(nat),
2.23/2.44	                                                     app_encode_app(int,int,
2.23/2.44	                                                                    bit0,
2.23/2.44	                                                                    app_encode_app(
2.23/2.44	                                                                    int,int,
2.23/2.44	                                                                    bit1,pls))))) !=
2.23/2.44	        app_encode_app(int,int,
2.23/2.44	                       app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                      times_times(int),
2.23/2.44	                                      app_encode_app(int,int,
2.23/2.44	                                                     app_encode_app(int,
2.23/2.44	                                                                    app_encode_fun(
2.23/2.44	                                                                    int,int),
2.23/2.44	                                                                    plus_plus(
2.23/2.44	                                                                    int),
2.23/2.44	                                                                    one_one(
2.23/2.44	                                                                    int)),
2.23/2.44	                                                     app_encode_app(nat,int,
2.23/2.44	                                                                    semiring_1_of_nat(
2.23/2.44	                                                                    int),n))),
2.23/2.44	                       M1))))).
2.23/2.44	tff('20', plain,
2.23/2.44	    app_encode_app(int, int, 
2.23/2.44	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	        app_encode_app(nat, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.23/2.44	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	            app_encode_app(int, int, bit0, 
2.23/2.44	              app_encode_app(int, int, bit1, pls))))), 
2.23/2.44	      app_encode_app(nat, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.23/2.44	        app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.23/2.44	     = app_encode_app(int, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	               one_one(int)), 
2.23/2.44	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_34])).
2.23/2.44	tff('21', plain,
2.23/2.44	    app_encode_app(int, int, 
2.23/2.44	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	        app_encode_app(nat, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.23/2.44	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	            app_encode_app(int, int, bit0, one_one(int))))), 
2.23/2.44	      app_encode_app(nat, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.23/2.44	        app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	          app_encode_app(int, int, bit0, one_one(int)))))
2.23/2.44	     = app_encode_app(int, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	               one_one(int)), 
2.23/2.44	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
2.23/2.44	    inference('demod', [status(thm)], ['20', '3', '3'])).
2.23/2.44	tff(zf_stmt_32, axiom,
2.23/2.44	  (app_encode_app(int,int,
2.23/2.44	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.23/2.44	                                 app_encode_app(nat,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               nat,int),
2.23/2.44	                                                               power_power(
2.23/2.44	                                                               int),v),
2.23/2.44	                                                app_encode_app(int,nat,
2.23/2.44	                                                               number_number_of(
2.23/2.44	                                                               nat),
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))),
2.23/2.44	                  app_encode_app(nat,int,
2.23/2.44	                                 app_encode_app(int,app_encode_fun(nat,int),
2.23/2.44	                                                power_power(int),w),
2.23/2.44	                                 app_encode_app(int,nat,
2.23/2.44	                                                number_number_of(nat),
2.23/2.44	                                                app_encode_app(int,int,bit0,
2.23/2.44	                                                               app_encode_app(
2.23/2.44	                                                               int,int,bit1,
2.23/2.44	                                                               pls))))) =
2.23/2.44	   app_encode_app(int,int,
2.23/2.44	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.44	                                 times_times(int),
2.23/2.44	                                 app_encode_app(int,int,
2.23/2.44	                                                app_encode_app(int,
2.23/2.44	                                                               app_encode_fun(
2.23/2.44	                                                               int,int),
2.23/2.44	                                                               plus_plus(int),
2.23/2.44	                                                               one_one(int)),
2.23/2.44	                                                app_encode_app(nat,int,
2.23/2.44	                                                               semiring_1_of_nat(
2.23/2.44	                                                               int),n))),
2.23/2.44	                  m1))).
2.23/2.44	tff('22', plain,
2.23/2.44	    app_encode_app(int, int, 
2.23/2.44	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	        app_encode_app(nat, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.23/2.44	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	            app_encode_app(int, int, bit0, 
2.23/2.44	              app_encode_app(int, int, bit1, pls))))), 
2.23/2.44	      app_encode_app(nat, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.23/2.44	        app_encode_app(int, nat, number_number_of(nat), 
2.23/2.44	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.23/2.44	     = app_encode_app(int, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	               one_one(int)), 
2.23/2.44	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
2.23/2.44	    inference('cnf', [status(esa)], [zf_stmt_32])).
2.23/2.44	tff('23', plain,
2.23/2.44	    app_encode_app(int, int, 
2.23/2.44	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	        app_encode_app(int, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	            one_one(int)), 
2.23/2.44	          app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)
2.23/2.44	     = app_encode_app(int, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	               one_one(int)), 
2.23/2.44	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
2.23/2.44	    inference('sup+', [status(thm)], ['22', '20'])).
2.23/2.44	tff('24', plain,
2.23/2.44	    app_encode_app(int, int, 
2.23/2.44	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	        app_encode_app(int, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(int, int), times_times(int), v), 
2.23/2.44	          v)), 
2.23/2.44	      app_encode_app(int, int, 
2.23/2.44	        app_encode_app(int, app_encode_fun(int, int), times_times(int), w), 
2.23/2.44	        w))
2.23/2.44	     = app_encode_app(int, int, 
2.23/2.44	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	           app_encode_app(int, int, 
2.23/2.44	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	               one_one(int)), 
2.23/2.44	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
2.23/2.44	    inference('demod', [status(thm)], ['21', '17', '17', '23'])).
2.23/2.44	tff('25', plain,
2.23/2.44	    app_encode_app(int, int, bit0, 
2.23/2.44	      app_encode_app(int, int, bit0, 
2.23/2.44	        app_encode_app(int, int, 
2.23/2.44	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.44	            app_encode_app(int, int, 
2.23/2.44	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.44	                one_one(int)), 
2.23/2.44	              app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)))
2.23/2.44	     != app_encode_app(int, int, bit0, 
2.23/2.44	          app_encode_app(int, int, bit0, 
2.23/2.44	            app_encode_app(int, int, 
2.23/2.44	              app_encode_app(int, app_encode_fun(int, int), 
2.23/2.44	                times_times(int), 
2.23/2.44	                app_encode_app(int, int, 
2.23/2.44	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.44	                    plus_plus(int), one_one(int)), 
2.23/2.44	                  app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1))),
2.23/2.44	    inference('demod', [status(thm)], ['19', '24'])).
2.23/2.44	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
2.23/2.44	
2.23/2.44	% SZS output end Refutation
2.23/2.44	EOF
