0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n126.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:39:55 CST 2018
134.50/134.72	% done 11348 iterations in 134.516s
134.50/134.72	% SZS status Theorem for 'stdin'
134.50/134.72	% SZS output start Refutation
134.50/134.72	tff(zf_stmt_27, axiom,
134.50/134.72	  (app_encode_app(int,$o,
134.50/134.72	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
134.50/134.72	                                 one_one(int)),
134.50/134.72	                  m))).
134.50/134.72	tff('0', plain,
134.50/134.72	    app_encode_app(int, $o, 
134.50/134.72	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	        one_one(int)), m),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_27])).
134.50/134.72	tff(zf_stmt_102, axiom,
134.50/134.72	  (![A:$tType]:
134.50/134.72	     (number_ring(A) =>
134.50/134.72	      (![A1:A]:
134.50/134.72	         (app_encode_app(A,A,
134.50/134.72	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
134.50/134.72	                                        app_encode_app(int,A,
134.50/134.72	                                                       number_number_of(A),
134.50/134.72	                                                       pls)),
134.50/134.72	                         A1) =
134.50/134.72	          A1))))).
134.50/134.72	tff('1', plain,
134.50/134.72	    ![X183 : $tType, X184 : X183]:
134.50/134.72	      (app_encode_app(X183, X183, 
134.50/134.72	         app_encode_app(X183, app_encode_fun(X183, X183), plus_plus(X183), 
134.50/134.72	           app_encode_app(int, X183, number_number_of(X183), pls)), X184)
134.50/134.72	        = X184
134.50/134.72	       | ~ number_ring(X183)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_102])).
134.50/134.72	tff(zf_stmt_91, axiom,
134.50/134.72	  (![Z1:int,W1:int]:
134.50/134.72	     (app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),
134.50/134.72	                                    ord_less_eq(int),
134.50/134.72	                                    app_encode_app(int,int,
134.50/134.72	                                                   app_encode_app(int,
134.50/134.72	                                                                  app_encode_fun(
134.50/134.72	                                                                  int,int),
134.50/134.72	                                                                  plus_plus(
134.50/134.72	                                                                  int),W1),
134.50/134.72	                                                   one_one(int))),
134.50/134.72	                     Z1) <=>
134.50/134.72	      app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                    W1),
134.50/134.72	                     Z1)))).
134.50/134.72	tff('2', plain,
134.50/134.72	    ![X158 : int, X159 : int]:
134.50/134.72	      (app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), X158), 
134.50/134.72	         X159)
134.50/134.72	       | ~ app_encode_app(int, $o, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	               app_encode_app(int, int, 
134.50/134.72	                 app_encode_app(int, app_encode_fun(int, int), 
134.50/134.72	                   plus_plus(int), X158), one_one(int))), X159)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_91])).
134.50/134.72	tff('3', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      (~ app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	             one_one(int)), X0)
134.50/134.72	       | ~ number_ring(int)
134.50/134.72	       | app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	             app_encode_app(int, int, number_number_of(int), pls)), X0)),
134.50/134.72	    inference('sup-', [status(thm)], ['1', '2'])).
134.50/134.72	tff(zf_stmt_129, axiom, (number_ring(int))).
134.50/134.72	tff('4', plain, number_ring(int),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_129])).
134.50/134.72	tff(zf_stmt_86, axiom,
134.50/134.72	  (![K:int]: (app_encode_app(int,int,number_number_of(int),K) = K))).
134.50/134.72	tff('5', plain,
134.50/134.72	    ![X146 : int]:
134.50/134.72	      app_encode_app(int, int, number_number_of(int), X146) = X146,
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_86])).
134.50/134.72	tff('6', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      (~ app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	             one_one(int)), X0)
134.50/134.72	       | ~ $true
134.50/134.72	       | app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
134.50/134.72	           X0)),
134.50/134.72	    inference('demod', [status(thm)], ['3', '4', '5'])).
134.50/134.72	tff('7', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      (app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
134.50/134.72	         X0)
134.50/134.72	       | ~ app_encode_app(int, $o, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	               one_one(int)), X0)),
134.50/134.72	    inference('simplify', [status(thm)], ['6'])).
134.50/134.72	tff('8', plain,
134.50/134.72	    (~ $true
134.50/134.72	     | app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), m)),
134.50/134.72	    inference('sup-', [status(thm)], ['0', '7'])).
134.50/134.72	tff('9', plain,
134.50/134.72	    app_encode_app(int, $o, 
134.50/134.72	      app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), m),
134.50/134.72	    inference('simplify', [status(thm)], ['8'])).
134.50/134.72	tff(zf_stmt_113, axiom,
134.50/134.72	  (one_one(int) =
134.50/134.72	   app_encode_app(int,int,number_number_of(int),
134.50/134.72	                  app_encode_app(int,int,bit1,pls)))).
134.50/134.72	tff('10', plain,
134.50/134.72	    one_one(int)
134.50/134.72	     = app_encode_app(int, int, number_number_of(int), 
134.50/134.72	         app_encode_app(int, int, bit1, pls)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_113])).
134.50/134.72	tff('11', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
134.50/134.72	    inference('demod', [status(thm)], ['10', '5'])).
134.50/134.72	tff(zf_stmt_40, axiom,
134.50/134.72	  (![L:int,K3:int]:
134.50/134.72	     (app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                    app_encode_app(int,int,bit1,K3)),
134.50/134.72	                     app_encode_app(int,int,bit0,L)) <=>
134.50/134.72	      app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                    K3),
134.50/134.72	                     L)))).
134.50/134.72	tff('12', plain,
134.50/134.72	    ![X27 : int, X28 : int]:
134.50/134.72	      (app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	           app_encode_app(int, int, bit1, X28)), 
134.50/134.72	         app_encode_app(int, int, bit0, X27))
134.50/134.72	       | ~ app_encode_app(int, $o, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), X28), 
134.50/134.72	             X27)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_40])).
134.50/134.72	tff('13', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      (app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	           one_one(int)), app_encode_app(int, int, bit0, X0))
134.50/134.72	       | ~ app_encode_app(int, $o, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
134.50/134.72	             X0)),
134.50/134.72	    inference('sup+', [status(thm)], ['11', '12'])).
134.50/134.72	tff(zf_stmt_82, axiom,
134.50/134.72	  (![W1:int,Z1:int]:
134.50/134.72	     (app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                    Z1),
134.50/134.72	                     W1) <=>
134.50/134.72	      (app_encode_app(int,$o,
134.50/134.72	                      app_encode_app(int,app_encode_fun(int,$o),
134.50/134.72	                                     ord_less_eq(int),Z1),
134.50/134.72	                      W1) & 
134.50/134.72	       (Z1 != W1))))).
134.50/134.72	tff('14', plain,
134.50/134.72	    ![X132 : int, X133 : int]:
134.50/134.72	      (app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), X132), 
134.50/134.72	         X133)
134.50/134.72	       | ~ app_encode_app(int, $o, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	               X132), X133)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_82])).
134.50/134.72	tff(zf_stmt_76, axiom,
134.50/134.72	  (![L:int,K3:int]:
134.50/134.72	     (app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                    app_encode_app(int,int,bit0,K3)),
134.50/134.72	                     app_encode_app(int,int,bit1,L)) <=>
134.50/134.72	      app_encode_app(int,$o,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,$o),
134.50/134.72	                                    ord_less_eq(int),K3),
134.50/134.72	                     L)))).
134.50/134.72	tff('15', plain,
134.50/134.72	    ![X115 : int, X116 : int]:
134.50/134.72	      (app_encode_app(int, $o, 
134.50/134.72	         app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	           app_encode_app(int, int, bit0, X116)), 
134.50/134.72	         app_encode_app(int, int, bit1, X115))
134.50/134.72	       | ~ app_encode_app(int, $o, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	               X116), X115)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_76])).
134.50/134.72	tff(zf_stmt_139, conjecture,
134.50/134.72	  (app_encode_app(int,$o,
134.50/134.72	                  app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                 app_encode_app(int,int,
134.50/134.72	                                                number_number_of(int),
134.50/134.72	                                                app_encode_app(int,int,bit0,
134.50/134.72	                                                               app_encode_app(
134.50/134.72	                                                               int,int,bit1,
134.50/134.72	                                                               pls)))),
134.50/134.72	                  app_encode_app(int,int,
134.50/134.72	                                 app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                                plus_plus(int),
134.50/134.72	                                                app_encode_app(int,int,
134.50/134.72	                                                               app_encode_app(
134.50/134.72	                                                               int,
134.50/134.72	                                                               app_encode_fun(
134.50/134.72	                                                               int,int),
134.50/134.72	                                                               times_times(
134.50/134.72	                                                               int),
134.50/134.72	                                                               app_encode_app(
134.50/134.72	                                                               int,int,
134.50/134.72	                                                               number_number_of(
134.50/134.72	                                                               int),
134.50/134.72	                                                               app_encode_app(
134.50/134.72	                                                               int,int,bit0,
134.50/134.72	                                                               app_encode_app(
134.50/134.72	                                                               int,int,bit0,
134.50/134.72	                                                               app_encode_app(
134.50/134.72	                                                               int,int,bit1,
134.50/134.72	                                                               pls))))),m)),
134.50/134.72	                                 one_one(int))))).
134.50/134.72	tff(zf_stmt_0, negated_conjecture,
134.50/134.72	  (~
134.50/134.72	    app_encode_app(int,$o,
134.50/134.72	                   app_encode_app(int,app_encode_fun(int,$o),ord_less(int),
134.50/134.72	                                  app_encode_app(int,int,
134.50/134.72	                                                 number_number_of(int),
134.50/134.72	                                                 app_encode_app(int,int,bit0,
134.50/134.72	                                                                app_encode_app(
134.50/134.72	                                                                int,int,bit1,
134.50/134.72	                                                                pls)))),
134.50/134.72	                   app_encode_app(int,int,
134.50/134.72	                                  app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                                 plus_plus(int),
134.50/134.72	                                                 app_encode_app(int,int,
134.50/134.72	                                                                app_encode_app(
134.50/134.72	                                                                int,
134.50/134.72	                                                                app_encode_fun(
134.50/134.72	                                                                int,int),
134.50/134.72	                                                                times_times(
134.50/134.72	                                                                int),
134.50/134.72	                                                                app_encode_app(
134.50/134.72	                                                                int,int,
134.50/134.72	                                                                number_number_of(
134.50/134.72	                                                                int),
134.50/134.72	                                                                app_encode_app(
134.50/134.72	                                                                int,int,bit0,
134.50/134.72	                                                                app_encode_app(
134.50/134.72	                                                                int,int,bit0,
134.50/134.72	                                                                app_encode_app(
134.50/134.72	                                                                int,int,bit1,
134.50/134.72	                                                                pls))))),m)),
134.50/134.72	                                  one_one(int))))).
134.50/134.72	tff('16', plain,
134.50/134.72	    ~ app_encode_app(int, $o, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	          app_encode_app(int, int, number_number_of(int), 
134.50/134.72	            app_encode_app(int, int, bit0, 
134.50/134.72	              app_encode_app(int, int, bit1, pls)))), 
134.50/134.72	        app_encode_app(int, int, 
134.50/134.72	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	            app_encode_app(int, int, 
134.50/134.72	              app_encode_app(int, app_encode_fun(int, int), 
134.50/134.72	                times_times(int), 
134.50/134.72	                app_encode_app(int, int, number_number_of(int), 
134.50/134.72	                  app_encode_app(int, int, bit0, 
134.50/134.72	                    app_encode_app(int, int, bit0, 
134.50/134.72	                      app_encode_app(int, int, bit1, pls))))), m)), 
134.50/134.72	          one_one(int))),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_0])).
134.50/134.72	tff(zf_stmt_58, axiom,
134.50/134.72	  (![L1:int,K:int]:
134.50/134.72	     (app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    times_times(int),
134.50/134.72	                                    app_encode_app(int,int,bit0,K)),
134.50/134.72	                     L1) =
134.50/134.72	      app_encode_app(int,int,bit0,
134.50/134.72	                     app_encode_app(int,int,
134.50/134.72	                                    app_encode_app(int,
134.50/134.72	                                                   app_encode_fun(int,int),
134.50/134.72	                                                   times_times(int),K),
134.50/134.72	                                    L1))))).
134.50/134.72	tff('17', plain,
134.50/134.72	    ![X62 : int, X63 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	          app_encode_app(int, int, bit0, X62)), X63)
134.50/134.72	       = app_encode_app(int, int, bit0, 
134.50/134.72	           app_encode_app(int, int, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	               X62), X63)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_58])).
134.50/134.72	tff(zf_stmt_57, axiom,
134.50/134.72	  (![W:int]:
134.50/134.72	     (app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    times_times(int),pls),
134.50/134.72	                     W) =
134.50/134.72	      pls))).
134.50/134.72	tff('18', plain,
134.50/134.72	    ![X61 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
134.50/134.72	        X61)
134.50/134.72	       = pls,
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_57])).
134.50/134.72	tff(zf_stmt_34, axiom,
134.50/134.72	  (![L1:int,K:int]:
134.50/134.72	     (app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    times_times(int),
134.50/134.72	                                    app_encode_app(int,int,bit1,K)),
134.50/134.72	                     L1) =
134.50/134.72	      app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    plus_plus(int),
134.50/134.72	                                    app_encode_app(int,int,bit0,
134.50/134.72	                                                   app_encode_app(int,int,
134.50/134.72	                                                                  app_encode_app(
134.50/134.72	                                                                  int,
134.50/134.72	                                                                  app_encode_fun(
134.50/134.72	                                                                  int,int),
134.50/134.72	                                                                  times_times(
134.50/134.72	                                                                  int),K),L1))),
134.50/134.72	                     L1)))).
134.50/134.72	tff('19', plain,
134.50/134.72	    ![X15 : int, X16 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	          app_encode_app(int, int, bit1, X15)), X16)
134.50/134.72	       = app_encode_app(int, int, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	             app_encode_app(int, int, bit0, 
134.50/134.72	               app_encode_app(int, int, 
134.50/134.72	                 app_encode_app(int, app_encode_fun(int, int), 
134.50/134.72	                   times_times(int), X15), X16))), X16),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_34])).
134.50/134.72	tff('20', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	          app_encode_app(int, int, bit1, pls)), X0)
134.50/134.72	       = app_encode_app(int, int, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	             app_encode_app(int, int, bit0, pls)), X0),
134.50/134.72	    inference('sup+', [status(thm)], ['18', '19'])).
134.50/134.72	tff(zf_stmt_50, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
134.50/134.72	tff('21', plain, app_encode_app(int, int, bit0, pls) = pls,
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_50])).
134.50/134.72	tff(zf_stmt_95, axiom,
134.50/134.72	  (![K:int]:
134.50/134.72	     (app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    plus_plus(int),pls),
134.50/134.72	                     K) =
134.50/134.72	      K))).
134.50/134.72	tff('22', plain,
134.50/134.72	    ![X168 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
134.50/134.72	        X168)
134.50/134.72	       = X168,
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_95])).
134.50/134.72	tff('23', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	          one_one(int)), X0)
134.50/134.72	       = X0,
134.50/134.72	    inference('demod', [status(thm)], ['20', '11', '21', '22'])).
134.50/134.72	tff(zf_stmt_2, axiom,
134.50/134.72	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
134.50/134.72	     ((![Z:Alpha]:
134.50/134.72	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
134.50/134.72	      (X = Y)))).
134.50/134.72	tff('24', plain,
134.50/134.72	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
134.50/134.72	      X3 : app_encode_fun(X0, X1)]:
134.50/134.72	      (X3 = X2
134.50/134.72	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
134.50/134.72	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_2])).
134.50/134.72	tff('25', plain,
134.50/134.72	    ![X0 : app_encode_fun(int, int)]:
134.50/134.72	      (app_encode_app(int, int, X0, 
134.50/134.72	         sk_Z(int, int, number_number_of(int), X0))
134.50/134.72	        != sk_Z(int, int, number_number_of(int), X0)
134.50/134.72	       | X0 = number_number_of(int)),
134.50/134.72	    inference('sup-', [status(thm)], ['5', '24'])).
134.50/134.72	tff('26', plain,
134.50/134.72	    (sk_Z(int, int, number_number_of(int), 
134.50/134.72	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	         one_one(int)))
134.50/134.72	      != sk_Z(int, int, number_number_of(int), 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	             one_one(int)))
134.50/134.72	     | app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	         one_one(int))
134.50/134.72	        = number_number_of(int)),
134.50/134.72	    inference('sup-', [status(thm)], ['23', '25'])).
134.50/134.72	tff('27', plain,
134.50/134.72	    app_encode_app(int, app_encode_fun(int, int), times_times(int), 
134.50/134.72	      one_one(int))
134.50/134.72	     = number_number_of(int),
134.50/134.72	    inference('simplify', [status(thm)], ['26'])).
134.50/134.72	tff(zf_stmt_36, axiom,
134.50/134.72	  (![L1:int,K:int]:
134.50/134.72	     (app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    plus_plus(int),
134.50/134.72	                                    app_encode_app(int,int,bit0,K)),
134.50/134.72	                     app_encode_app(int,int,bit1,L1)) =
134.50/134.72	      app_encode_app(int,int,bit1,
134.50/134.72	                     app_encode_app(int,int,
134.50/134.72	                                    app_encode_app(int,
134.50/134.72	                                                   app_encode_fun(int,int),
134.50/134.72	                                                   plus_plus(int),K),
134.50/134.72	                                    L1))))).
134.50/134.72	tff('28', plain,
134.50/134.72	    ![X18 : int, X19 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	          app_encode_app(int, int, bit0, X18)), 
134.50/134.72	        app_encode_app(int, int, bit1, X19))
134.50/134.72	       = app_encode_app(int, int, bit1, 
134.50/134.72	           app_encode_app(int, int, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	               X18), X19)),
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_36])).
134.50/134.72	tff('29', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	          app_encode_app(int, int, bit0, X0)), one_one(int))
134.50/134.72	       = app_encode_app(int, int, bit1, 
134.50/134.72	           app_encode_app(int, int, 
134.50/134.72	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	               X0), pls)),
134.50/134.72	    inference('sup+', [status(thm)], ['11', '28'])).
134.50/134.72	tff(zf_stmt_94, axiom,
134.50/134.72	  (![K:int]:
134.50/134.72	     (app_encode_app(int,int,
134.50/134.72	                     app_encode_app(int,app_encode_fun(int,int),
134.50/134.72	                                    plus_plus(int),K),
134.50/134.72	                     pls) =
134.50/134.72	      K))).
134.50/134.72	tff('30', plain,
134.50/134.72	    ![X167 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X167), 
134.50/134.72	        pls)
134.50/134.72	       = X167,
134.50/134.72	    inference('cnf', [status(esa)], [zf_stmt_94])).
134.50/134.72	tff('31', plain,
134.50/134.72	    ![X0 : int]:
134.50/134.72	      app_encode_app(int, int, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
134.50/134.72	          app_encode_app(int, int, bit0, X0)), one_one(int))
134.50/134.72	       = app_encode_app(int, int, bit1, X0),
134.50/134.72	    inference('demod', [status(thm)], ['29', '30'])).
134.50/134.72	tff('32', plain,
134.50/134.72	    ~ app_encode_app(int, $o, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	          app_encode_app(int, int, bit0, one_one(int))), 
134.50/134.72	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
134.50/134.72	    inference('demod', [status(thm)],
134.50/134.72	              ['16', '11', '5', '11', '5', '17', '17', '27', '5', '31'])).
134.50/134.72	tff('33', plain,
134.50/134.72	    (~ $true
134.50/134.72	     | ~ app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	             one_one(int)), app_encode_app(int, int, bit0, m))),
134.50/134.72	    inference('sup-', [status(thm)], ['15', '32'])).
134.50/134.72	tff('34', plain,
134.50/134.72	    ~ app_encode_app(int, $o, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
134.50/134.72	          one_one(int)), app_encode_app(int, int, bit0, m)),
134.50/134.72	    inference('simplify', [status(thm)], ['33'])).
134.50/134.72	tff('35', plain,
134.50/134.72	    (~ $true
134.50/134.72	     | ~ app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	             one_one(int)), app_encode_app(int, int, bit0, m))),
134.50/134.72	    inference('sup-', [status(thm)], ['14', '34'])).
134.50/134.72	tff('36', plain,
134.50/134.72	    ~ app_encode_app(int, $o, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), 
134.50/134.72	          one_one(int)), app_encode_app(int, int, bit0, m)),
134.50/134.72	    inference('simplify', [status(thm)], ['35'])).
134.50/134.72	tff('37', plain,
134.50/134.72	    (~ $true
134.50/134.72	     | ~ app_encode_app(int, $o, 
134.50/134.72	           app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), 
134.50/134.72	           m)),
134.50/134.72	    inference('sup-', [status(thm)], ['13', '36'])).
134.50/134.72	tff('38', plain,
134.50/134.72	    ~ app_encode_app(int, $o, 
134.50/134.72	        app_encode_app(int, app_encode_fun(int, $o), ord_less(int), pls), m),
134.50/134.72	    inference('simplify', [status(thm)], ['37'])).
134.50/134.72	tff('39', plain, ~ $true, inference('sup-', [status(thm)], ['9', '38'])).
134.50/134.72	tff('40', plain, $false, inference('simplify', [status(thm)], ['39'])).
134.50/134.72	
134.50/134.72	% SZS output end Refutation
134.50/134.73	EOF
