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   : n068.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 10:08:23 CST 2018
3.67/3.91	% done 1234 iterations in 3.702s
3.67/3.91	% SZS status Theorem for 'stdin'
3.67/3.91	% SZS output start Refutation
3.67/3.91	tff(zf_stmt_177, axiom,
3.67/3.91	  (app_encode_app(a,nat,
3.67/3.91	                  app_encode_app(huffma1450048681e_tree(a),
3.67/3.91	                                 app_encode_fun(a,nat),
3.67/3.91	                                 huffma410068972_depth(a),t_2),
3.67/3.91	                  a1) =
3.67/3.91	   app_encode_app(nat,nat,
3.67/3.91	                  app_encode_app(nat,app_encode_fun(nat,nat),ord_max(nat),
3.67/3.91	                                 app_encode_app(huffma1450048681e_tree(b),
3.67/3.91	                                                nat,huffma945805758height(b),
3.67/3.91	                                                t_1)),
3.67/3.91	                  app_encode_app(huffma1450048681e_tree(a),nat,
3.67/3.91	                                 huffma945805758height(a),t_2)))).
3.67/3.91	tff('0', plain,
3.67/3.91	    app_encode_app(a, nat, 
3.67/3.91	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	        huffma410068972_depth(a), t_2), a1)
3.67/3.91	     = app_encode_app(nat, nat, 
3.67/3.91	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), 
3.67/3.91	           app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	             huffma945805758height(b), t_1)), 
3.67/3.91	         app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	           huffma945805758height(a), t_2)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_177])).
3.67/3.91	tff(zf_stmt_78, axiom,
3.67/3.91	  (![A:$tType]:
3.67/3.91	     (linorder(A) =>
3.67/3.91	      (![Y:A,X:A]:
3.67/3.91	         (app_encode_app(A,A,
3.67/3.91	                         app_encode_app(A,app_encode_fun(A,A),ord_max(A),X),Y) =
3.67/3.91	          app_encode_app(A,A,
3.67/3.91	                         app_encode_app(A,app_encode_fun(A,A),ord_max(A),Y),X)))))).
3.67/3.91	tff('1', plain,
3.67/3.91	    ![X117 : $tType, X118 : X117, X119 : X117]:
3.67/3.91	      (app_encode_app(X117, X117, 
3.67/3.91	         app_encode_app(X117, app_encode_fun(X117, X117), ord_max(X117), 
3.67/3.91	           X119), X118)
3.67/3.91	        = app_encode_app(X117, X117, 
3.67/3.91	            app_encode_app(X117, app_encode_fun(X117, X117), ord_max(X117), 
3.67/3.91	              X118), X119)
3.67/3.91	       | ~ linorder(X117)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_78])).
3.67/3.91	tff(zf_stmt_94, axiom,
3.67/3.91	  (![N:nat]:
3.67/3.91	     app_encode_app(nat,$o,
3.67/3.91	                    app_encode_app(nat,app_encode_fun(nat,$o),
3.67/3.91	                                   ord_less_eq(nat),N),
3.67/3.91	                    N))).
3.67/3.91	tff('2', plain,
3.67/3.91	    ![X180 : nat]:
3.67/3.91	      app_encode_app(nat, $o, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X180), 
3.67/3.91	        X180),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_94])).
3.67/3.91	tff(zf_stmt_50, axiom,
3.67/3.91	  (![C:$tType]:
3.67/3.91	     (linorder(C) =>
3.67/3.91	      (![Z:C,Y1:C,X1:C]:
3.67/3.91	         (app_encode_app(C,$o,
3.67/3.91	                         app_encode_app(C,app_encode_fun(C,$o),
3.67/3.91	                                        ord_less_eq(C),
3.67/3.91	                                        app_encode_app(C,C,
3.67/3.91	                                                       app_encode_app(
3.67/3.91	                                                       C,app_encode_fun(C,C),
3.67/3.91	                                                       ord_max(C),X1),Y1)),
3.67/3.91	                         Z) <=>
3.67/3.91	          (app_encode_app(C,$o,
3.67/3.91	                          app_encode_app(C,app_encode_fun(C,$o),
3.67/3.91	                                         ord_less_eq(C),X1),
3.67/3.91	                          Z) & 
3.67/3.91	           app_encode_app(C,$o,
3.67/3.91	                          app_encode_app(C,app_encode_fun(C,$o),
3.67/3.91	                                         ord_less_eq(C),Y1),
3.67/3.91	                          Z))))))).
3.67/3.91	tff('3', plain,
3.67/3.91	    ![X12 : $tType, X14 : X12, X15 : X12, X16 : X12]:
3.67/3.91	      (~ app_encode_app(X12, $o, 
3.67/3.91	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
3.67/3.91	             app_encode_app(X12, X12, 
3.67/3.91	               app_encode_app(X12, app_encode_fun(X12, X12), ord_max(X12), 
3.67/3.91	                 X16), X15)), X14)
3.67/3.91	       | app_encode_app(X12, $o, 
3.67/3.91	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
3.67/3.91	             X15), X14)
3.67/3.91	       | ~ linorder(X12)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_50])).
3.67/3.91	tff('4', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ linorder(nat)
3.67/3.91	       | app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))),
3.67/3.91	    inference('sup-', [status(thm)], ['2', '3'])).
3.67/3.91	tff(zf_stmt_164, axiom, (linorder(nat))).
3.67/3.91	tff('5', plain, linorder(nat), inference('cnf', [status(esa)], [zf_stmt_164])).
3.67/3.91	tff('6', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ $true
3.67/3.91	       | app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))),
3.67/3.91	    inference('demod', [status(thm)], ['4', '5'])).
3.67/3.91	tff('7', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      app_encode_app(nat, $o, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
3.67/3.91	        app_encode_app(nat, nat, 
3.67/3.91	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	          X0)),
3.67/3.91	    inference('simplify', [status(thm)], ['6'])).
3.67/3.91	tff(zf_stmt_56, axiom,
3.67/3.91	  (![C:$tType]:
3.67/3.91	     (linorder(C) =>
3.67/3.91	      (![Y1:C,X1:C]:
3.67/3.91	         (app_encode_app(C,$o,
3.67/3.91	                         app_encode_app(C,app_encode_fun(C,$o),
3.67/3.91	                                        ord_less_eq(C),X1),
3.67/3.91	                         Y1) <=>
3.67/3.91	          (app_encode_app(C,C,
3.67/3.91	                          app_encode_app(C,app_encode_fun(C,C),ord_max(C),X1),
3.67/3.91	                          Y1) =
3.67/3.91	           Y1)))))).
3.67/3.91	tff('8', plain,
3.67/3.91	    ![X31 : $tType, X32 : X31, X34 : X31]:
3.67/3.91	      (~ app_encode_app(X31, $o, 
3.67/3.91	           app_encode_app(X31, app_encode_fun(X31, $o), ord_less_eq(X31), 
3.67/3.91	             X34), X32)
3.67/3.91	       | app_encode_app(X31, X31, 
3.67/3.91	           app_encode_app(X31, app_encode_fun(X31, X31), ord_max(X31), X34), 
3.67/3.91	           X32)
3.67/3.91	          = X32
3.67/3.91	       | ~ linorder(X31)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_56])).
3.67/3.91	tff('9', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ linorder(nat)
3.67/3.91	       | app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))
3.67/3.91	          = app_encode_app(nat, nat, 
3.67/3.91	              app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	              X0)),
3.67/3.91	    inference('sup-', [status(thm)], ['7', '8'])).
3.67/3.91	tff('10', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ $true
3.67/3.91	       | app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))
3.67/3.91	          = app_encode_app(nat, nat, 
3.67/3.91	              app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	              X0)),
3.67/3.91	    inference('demod', [status(thm)], ['9', '5'])).
3.67/3.91	tff('11', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      app_encode_app(nat, nat, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	        app_encode_app(nat, nat, 
3.67/3.91	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	          X0))
3.67/3.91	       = app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	           X0),
3.67/3.91	    inference('simplify', [status(thm)], ['10'])).
3.67/3.91	tff('12', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (app_encode_app(nat, nat, 
3.67/3.91	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	         app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	           X0))
3.67/3.91	        = app_encode_app(nat, nat, 
3.67/3.91	            app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	            X1)
3.67/3.91	       | ~ linorder(nat)),
3.67/3.91	    inference('sup+', [status(thm)], ['1', '11'])).
3.67/3.91	tff('13', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (app_encode_app(nat, nat, 
3.67/3.91	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	         app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	           X0))
3.67/3.91	        = app_encode_app(nat, nat, 
3.67/3.91	            app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	            X1)
3.67/3.91	       | ~ $true),
3.67/3.91	    inference('demod', [status(thm)], ['12', '5'])).
3.67/3.91	tff('14', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      app_encode_app(nat, nat, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	        app_encode_app(nat, nat, 
3.67/3.91	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	          X0))
3.67/3.91	       = app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	           X1),
3.67/3.91	    inference('simplify', [status(thm)], ['13'])).
3.67/3.91	tff('15', plain,
3.67/3.91	    ![X12 : $tType, X14 : X12, X15 : X12, X16 : X12]:
3.67/3.91	      (~ app_encode_app(X12, $o, 
3.67/3.91	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
3.67/3.91	             app_encode_app(X12, X12, 
3.67/3.91	               app_encode_app(X12, app_encode_fun(X12, X12), ord_max(X12), 
3.67/3.91	                 X16), X15)), X14)
3.67/3.91	       | app_encode_app(X12, $o, 
3.67/3.91	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
3.67/3.91	             X16), X14)
3.67/3.91	       | ~ linorder(X12)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_50])).
3.67/3.91	tff('16', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ linorder(nat)
3.67/3.91	       | app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))),
3.67/3.91	    inference('sup-', [status(thm)], ['2', '15'])).
3.67/3.91	tff('17', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ $true
3.67/3.91	       | app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))),
3.67/3.91	    inference('demod', [status(thm)], ['16', '5'])).
3.67/3.91	tff('18', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      app_encode_app(nat, $o, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
3.67/3.91	        app_encode_app(nat, nat, 
3.67/3.91	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	          X0)),
3.67/3.91	    inference('simplify', [status(thm)], ['17'])).
3.67/3.91	tff('19', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ linorder(nat)
3.67/3.91	       | app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))
3.67/3.91	          = app_encode_app(nat, nat, 
3.67/3.91	              app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	              X0)),
3.67/3.91	    inference('sup-', [status(thm)], ['18', '8'])).
3.67/3.91	tff('20', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      (~ $true
3.67/3.91	       | ~ $true
3.67/3.91	       | app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	           app_encode_app(nat, nat, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	             X0))
3.67/3.91	          = app_encode_app(nat, nat, 
3.67/3.91	              app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	              X0)),
3.67/3.91	    inference('demod', [status(thm)], ['19', '5'])).
3.67/3.91	tff('21', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      app_encode_app(nat, nat, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	        app_encode_app(nat, nat, 
3.67/3.91	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	          X0))
3.67/3.91	       = app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
3.67/3.91	           X0),
3.67/3.91	    inference('simplify', [status(thm)], ['20'])).
3.67/3.91	tff('22', plain,
3.67/3.91	    ![X0 : nat, X1 : nat]:
3.67/3.91	      app_encode_app(nat, nat, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), X0)
3.67/3.91	       = app_encode_app(nat, nat, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
3.67/3.91	           X1),
3.67/3.91	    inference('sup+', [status(thm)], ['14', '21'])).
3.67/3.91	tff('23', plain,
3.67/3.91	    app_encode_app(a, nat, 
3.67/3.91	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	        huffma410068972_depth(a), t_2), a1)
3.67/3.91	     = app_encode_app(nat, nat, 
3.67/3.91	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), 
3.67/3.91	           app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	             huffma945805758height(a), t_2)), 
3.67/3.91	         app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	           huffma945805758height(b), t_1)),
3.67/3.91	    inference('demod', [status(thm)], ['0', '22'])).
3.67/3.91	tff('24', plain,
3.67/3.91	    app_encode_app(nat, $o, 
3.67/3.91	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	          huffma945805758height(b), t_1)), 
3.67/3.91	      app_encode_app(a, nat, 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	          huffma410068972_depth(a), t_2), a1)),
3.67/3.91	    inference('sup+', [status(thm)], ['23', '7'])).
3.67/3.91	tff('25', plain,
3.67/3.91	    app_encode_app(nat, $o, 
3.67/3.91	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	          huffma945805758height(a), t_2)), 
3.67/3.91	      app_encode_app(a, nat, 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	          huffma410068972_depth(a), t_2), a1)),
3.67/3.91	    inference('sup+', [status(thm)], ['23', '18'])).
3.67/3.91	tff(zf_stmt_93, axiom,
3.67/3.91	  (![N:nat,M:nat]:
3.67/3.91	     (app_encode_app(nat,$o,
3.67/3.91	                     app_encode_app(nat,app_encode_fun(nat,$o),
3.67/3.91	                                    ord_less_eq(nat),M),
3.67/3.91	                     N) =>
3.67/3.91	      (app_encode_app(nat,$o,
3.67/3.91	                      app_encode_app(nat,app_encode_fun(nat,$o),
3.67/3.91	                                     ord_less_eq(nat),N),
3.67/3.91	                      M) =>
3.67/3.91	       (M = N))))).
3.67/3.91	tff('26', plain,
3.67/3.91	    ![X178 : nat, X179 : nat]:
3.67/3.91	      (~ app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	             X178), X179)
3.67/3.91	       | X179 = X178
3.67/3.91	       | ~ app_encode_app(nat, $o, 
3.67/3.91	             app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	               X179), X178)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_93])).
3.67/3.91	tff('27', plain,
3.67/3.91	    (~ $true
3.67/3.91	     | ~ app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	             app_encode_app(a, nat, 
3.67/3.91	               app_encode_app(huffma1450048681e_tree(a), 
3.67/3.91	                 app_encode_fun(a, nat), huffma410068972_depth(a), t_2), a1)), 
3.67/3.91	           app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	             huffma945805758height(a), t_2))
3.67/3.91	     | app_encode_app(a, nat, 
3.67/3.91	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	           huffma410068972_depth(a), t_2), a1)
3.67/3.91	        = app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	            huffma945805758height(a), t_2)),
3.67/3.91	    inference('sup-', [status(thm)], ['25', '26'])).
3.67/3.91	tff(zf_stmt_49, axiom,
3.67/3.91	  (![A:$tType,A3:A,T:huffma1450048681e_tree(A)]:
3.67/3.91	     app_encode_app(nat,$o,
3.67/3.91	                    app_encode_app(nat,app_encode_fun(nat,$o),
3.67/3.91	                                   ord_less_eq(nat),
3.67/3.91	                                   app_encode_app(A,nat,
3.67/3.91	                                                  app_encode_app(huffma1450048681e_tree(
3.67/3.91	                                                                 A),
3.67/3.91	                                                                 app_encode_fun(
3.67/3.91	                                                                 A,nat),
3.67/3.91	                                                                 huffma410068972_depth(
3.67/3.91	                                                                 A),T),
3.67/3.91	                                                  A3)),
3.67/3.91	                    app_encode_app(huffma1450048681e_tree(A),nat,
3.67/3.91	                                   huffma945805758height(A),T)))).
3.67/3.91	tff('28', plain,
3.67/3.91	    ![X9 : $tType, X10 : huffma1450048681e_tree(X9), X11 : X9]:
3.67/3.91	      app_encode_app(nat, $o, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	          app_encode_app(X9, nat, 
3.67/3.91	            app_encode_app(huffma1450048681e_tree(X9), 
3.67/3.91	              app_encode_fun(X9, nat), huffma410068972_depth(X9), X10), X11)), 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(X9), nat, 
3.67/3.91	          huffma945805758height(X9), X10)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_49])).
3.67/3.91	tff('29', plain,
3.67/3.91	    (~ $true
3.67/3.91	     | ~ $true
3.67/3.91	     | app_encode_app(a, nat, 
3.67/3.91	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	           huffma410068972_depth(a), t_2), a1)
3.67/3.91	        = app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	            huffma945805758height(a), t_2)),
3.67/3.91	    inference('demod', [status(thm)], ['27', '28'])).
3.67/3.91	tff('30', plain,
3.67/3.91	    app_encode_app(a, nat, 
3.67/3.91	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	        huffma410068972_depth(a), t_2), a1)
3.67/3.91	     = app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	         huffma945805758height(a), t_2),
3.67/3.91	    inference('simplify', [status(thm)], ['29'])).
3.67/3.91	tff('31', plain,
3.67/3.91	    app_encode_app(nat, $o, 
3.67/3.91	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	          huffma945805758height(b), t_1)), 
3.67/3.91	      app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	        huffma945805758height(a), t_2)),
3.67/3.91	    inference('demod', [status(thm)], ['24', '30'])).
3.67/3.91	tff(zf_stmt_178, axiom,
3.67/3.91	  ((app_encode_app(a,nat,
3.67/3.91	                   app_encode_app(huffma1450048681e_tree(a),
3.67/3.91	                                  app_encode_fun(a,nat),
3.67/3.91	                                  huffma410068972_depth(a),t_2),
3.67/3.91	                   a1) =
3.67/3.91	    app_encode_app(huffma1450048681e_tree(a),nat,huffma945805758height(a),t_2)) =>
3.67/3.91	   (app_encode_app(nat,$o,
3.67/3.91	                   app_encode_app(nat,app_encode_fun(nat,$o),
3.67/3.91	                                  ord_less_eq(nat),
3.67/3.91	                                  app_encode_app(huffma1450048681e_tree(b),
3.67/3.91	                                                 nat,
3.67/3.91	                                                 huffma945805758height(b),t_1)),
3.67/3.91	                   app_encode_app(huffma1450048681e_tree(a),nat,
3.67/3.91	                                  huffma945805758height(a),t_2)) =>
3.67/3.91	    p))).
3.67/3.91	tff('32', plain,
3.67/3.91	    (~ app_encode_app(nat, $o, 
3.67/3.91	         app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	           app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	             huffma945805758height(b), t_1)), 
3.67/3.91	         app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	           huffma945805758height(a), t_2))
3.67/3.91	     | p
3.67/3.91	     | app_encode_app(a, nat, 
3.67/3.91	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	           huffma410068972_depth(a), t_2), a1)
3.67/3.91	        != app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	             huffma945805758height(a), t_2)),
3.67/3.91	    inference('cnf', [status(esa)], [zf_stmt_178])).
3.67/3.91	tff(zf_stmt_179, conjecture, (p)).
3.67/3.91	tff(zf_stmt_0, negated_conjecture, (~p)).
3.67/3.91	tff('33', plain, ~ p, inference('cnf', [status(esa)], [zf_stmt_0])).
3.67/3.91	tff('34', plain,
3.67/3.91	    (app_encode_app(a, nat, 
3.67/3.91	       app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
3.67/3.91	         huffma410068972_depth(a), t_2), a1)
3.67/3.91	      != app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	           huffma945805758height(a), t_2)
3.67/3.91	     | ~ app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	             app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	               huffma945805758height(b), t_1)), 
3.67/3.91	           app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	             huffma945805758height(a), t_2))),
3.67/3.91	    inference('clc', [status(thm)], ['32', '33'])).
3.67/3.91	tff('35', plain,
3.67/3.91	    (app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	       huffma945805758height(a), t_2)
3.67/3.91	      != app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	           huffma945805758height(a), t_2)
3.67/3.91	     | ~ app_encode_app(nat, $o, 
3.67/3.91	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	             app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	               huffma945805758height(b), t_1)), 
3.67/3.91	           app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	             huffma945805758height(a), t_2))),
3.67/3.91	    inference('demod', [status(thm)], ['34', '30'])).
3.67/3.91	tff('36', plain,
3.67/3.91	    ~ app_encode_app(nat, $o, 
3.67/3.91	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
3.67/3.91	          app_encode_app(huffma1450048681e_tree(b), nat, 
3.67/3.91	            huffma945805758height(b), t_1)), 
3.67/3.91	        app_encode_app(huffma1450048681e_tree(a), nat, 
3.67/3.91	          huffma945805758height(a), t_2)),
3.67/3.91	    inference('simplify', [status(thm)], ['35'])).
3.67/3.91	tff('37', plain, ~ $true, inference('sup-', [status(thm)], ['31', '36'])).
3.67/3.91	tff('38', plain, $false, inference('simplify', [status(thm)], ['37'])).
3.67/3.91	
3.67/3.91	% SZS output end Refutation
3.67/3.91	EOF
