0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n142.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 10:12:24 CST 2018
23.12/23.30	% done 1451 iterations in 23.102s
23.12/23.30	% SZS status Theorem for 'stdin'
23.12/23.30	% SZS output start Refutation
23.12/23.30	tff(zf_stmt_186, conjecture,
23.12/23.30	  (app_encode_app(huffma1450048681e_tree(a),nat,huffma1134658180e_cost(a),
23.12/23.30	                  app_encode_app(huffma1450048681e_tree(a),
23.12/23.30	                                 huffma1450048681e_tree(a),
23.12/23.30	                                 app_encode_app(huffma1450048681e_tree(a),
23.12/23.30	                                                app_encode_fun(huffma1450048681e_tree(
23.12/23.30	                                                               a),
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a)),
23.12/23.30	                                                app_encode_app(nat,
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a))),
23.12/23.30	                                                               huffma1146269203erNode(
23.12/23.30	                                                               a),w),
23.12/23.30	                                                t_1),
23.12/23.30	                                 t_2)) =
23.12/23.30	   app_encode_app(nat,nat,
23.12/23.30	                  app_encode_app(nat,app_encode_fun(nat,nat),plus_plus(nat),
23.12/23.30	                                 app_encode_app(nat,nat,
23.12/23.30	                                                app_encode_app(nat,
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               nat,nat),
23.12/23.30	                                                               plus_plus(nat),
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               nat,nat,
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               nat,
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               nat,nat),
23.12/23.30	                                                               plus_plus(nat),
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),nat,
23.12/23.30	                                                               huffma83463279weight(
23.12/23.30	                                                               a),t_1)),
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),nat,
23.12/23.30	                                                               huffma1134658180e_cost(
23.12/23.30	                                                               a),t_1))),
23.12/23.30	                                                app_encode_app(huffma1450048681e_tree(
23.12/23.30	                                                               a),nat,
23.12/23.30	                                                               huffma83463279weight(
23.12/23.30	                                                               a),t_2))),
23.12/23.30	                  app_encode_app(huffma1450048681e_tree(a),nat,
23.12/23.30	                                 huffma1134658180e_cost(a),t_2)))).
23.12/23.30	tff(zf_stmt_0, negated_conjecture,
23.12/23.30	  (app_encode_app(huffma1450048681e_tree(a),nat,huffma1134658180e_cost(a),
23.12/23.30	                  app_encode_app(huffma1450048681e_tree(a),
23.12/23.30	                                 huffma1450048681e_tree(a),
23.12/23.30	                                 app_encode_app(huffma1450048681e_tree(a),
23.12/23.30	                                                app_encode_fun(huffma1450048681e_tree(
23.12/23.30	                                                               a),
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a)),
23.12/23.30	                                                app_encode_app(nat,
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a))),
23.12/23.30	                                                               huffma1146269203erNode(
23.12/23.30	                                                               a),w),
23.12/23.30	                                                t_1),
23.12/23.30	                                 t_2)) !=
23.12/23.30	   app_encode_app(nat,nat,
23.12/23.30	                  app_encode_app(nat,app_encode_fun(nat,nat),plus_plus(nat),
23.12/23.30	                                 app_encode_app(nat,nat,
23.12/23.30	                                                app_encode_app(nat,
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               nat,nat),
23.12/23.30	                                                               plus_plus(nat),
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               nat,nat,
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               nat,
23.12/23.30	                                                               app_encode_fun(
23.12/23.30	                                                               nat,nat),
23.12/23.30	                                                               plus_plus(nat),
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),nat,
23.12/23.30	                                                               huffma83463279weight(
23.12/23.30	                                                               a),t_1)),
23.12/23.30	                                                               app_encode_app(
23.12/23.30	                                                               huffma1450048681e_tree(
23.12/23.30	                                                               a),nat,
23.12/23.30	                                                               huffma1134658180e_cost(
23.12/23.30	                                                               a),t_1))),
23.12/23.30	                                                app_encode_app(huffma1450048681e_tree(
23.12/23.30	                                                               a),nat,
23.12/23.30	                                                               huffma83463279weight(
23.12/23.30	                                                               a),t_2))),
23.12/23.30	                  app_encode_app(huffma1450048681e_tree(a),nat,
23.12/23.30	                                 huffma1134658180e_cost(a),t_2)))).
23.12/23.30	tff('0', plain,
23.12/23.30	    app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.30	      huffma1134658180e_cost(a), 
23.12/23.30	      app_encode_app(huffma1450048681e_tree(a), huffma1450048681e_tree(a), 
23.12/23.30	        app_encode_app(huffma1450048681e_tree(a), 
23.12/23.30	          app_encode_fun(huffma1450048681e_tree(a), 
23.12/23.30	            huffma1450048681e_tree(a)), 
23.12/23.30	          app_encode_app(nat, 
23.12/23.30	            app_encode_fun(huffma1450048681e_tree(a), 
23.12/23.30	              app_encode_fun(huffma1450048681e_tree(a), 
23.12/23.30	                huffma1450048681e_tree(a))), huffma1146269203erNode(a), w), 
23.12/23.30	          t_1), t_2))
23.12/23.30	     != app_encode_app(nat, nat, 
23.12/23.30	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	            app_encode_app(nat, nat, 
23.12/23.31	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	                app_encode_app(nat, nat, 
23.12/23.31	                  app_encode_app(nat, app_encode_fun(nat, nat), 
23.12/23.31	                    plus_plus(nat), 
23.12/23.31	                    app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                      huffma83463279weight(a), t_1)), 
23.12/23.31	                  app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                    huffma1134658180e_cost(a), t_1))), 
23.12/23.31	              app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                huffma83463279weight(a), t_2))), 
23.12/23.31	          app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	            huffma1134658180e_cost(a), t_2)),
23.12/23.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
23.12/23.31	tff(zf_stmt_67, axiom,
23.12/23.31	  (![K:nat,N1:nat,M1:nat]:
23.12/23.31	     (app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),
23.12/23.31	                                    app_encode_app(nat,nat,
23.12/23.31	                                                   app_encode_app(nat,
23.12/23.31	                                                                  app_encode_fun(
23.12/23.31	                                                                  nat,nat),
23.12/23.31	                                                                  plus_plus(
23.12/23.31	                                                                  nat),M1),
23.12/23.31	                                                   N1)),
23.12/23.31	                     K) =
23.12/23.31	      app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),M1),
23.12/23.31	                     app_encode_app(nat,nat,
23.12/23.31	                                    app_encode_app(nat,
23.12/23.31	                                                   app_encode_fun(nat,nat),
23.12/23.31	                                                   plus_plus(nat),N1),
23.12/23.31	                                    K))))).
23.12/23.31	tff('1', plain,
23.12/23.31	    ![X62 : nat, X63 : nat, X64 : nat]:
23.12/23.31	      app_encode_app(nat, nat, 
23.12/23.31	        app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	          app_encode_app(nat, nat, 
23.12/23.31	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	              X62), X63)), X64)
23.12/23.31	       = app_encode_app(nat, nat, 
23.12/23.31	           app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X62), 
23.12/23.31	           app_encode_app(nat, nat, 
23.12/23.31	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	               X63), X64)),
23.12/23.31	    inference('cnf', [status(esa)], [zf_stmt_67])).
23.12/23.31	tff(zf_stmt_65, axiom,
23.12/23.31	  (![N1:nat,M1:nat]:
23.12/23.31	     (app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),M1),
23.12/23.31	                     N1) =
23.12/23.31	      app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),N1),
23.12/23.31	                     M1)))).
23.12/23.31	tff('2', plain,
23.12/23.31	    ![X57 : nat, X58 : nat]:
23.12/23.31	      app_encode_app(nat, nat, 
23.12/23.31	        app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X58), 
23.12/23.31	        X57)
23.12/23.31	       = app_encode_app(nat, nat, 
23.12/23.31	           app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X57), 
23.12/23.31	           X58),
23.12/23.31	    inference('cnf', [status(esa)], [zf_stmt_65])).
23.12/23.31	tff(zf_stmt_66, axiom,
23.12/23.31	  (![Z:nat,Y:nat,X4:nat]:
23.12/23.31	     (app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),X4),
23.12/23.31	                     app_encode_app(nat,nat,
23.12/23.31	                                    app_encode_app(nat,
23.12/23.31	                                                   app_encode_fun(nat,nat),
23.12/23.31	                                                   plus_plus(nat),Y),
23.12/23.31	                                    Z)) =
23.12/23.31	      app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),Y),
23.12/23.31	                     app_encode_app(nat,nat,
23.12/23.31	                                    app_encode_app(nat,
23.12/23.31	                                                   app_encode_fun(nat,nat),
23.12/23.31	                                                   plus_plus(nat),X4),
23.12/23.31	                                    Z))))).
23.12/23.31	tff('3', plain,
23.12/23.31	    ![X59 : nat, X60 : nat, X61 : nat]:
23.12/23.31	      app_encode_app(nat, nat, 
23.12/23.31	        app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X60), 
23.12/23.31	        app_encode_app(nat, nat, 
23.12/23.31	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X59), 
23.12/23.31	          X61))
23.12/23.31	       = app_encode_app(nat, nat, 
23.12/23.31	           app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X59), 
23.12/23.31	           app_encode_app(nat, nat, 
23.12/23.31	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	               X60), X61)),
23.12/23.31	    inference('cnf', [status(esa)], [zf_stmt_66])).
23.12/23.31	tff('4', plain,
23.12/23.31	    app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	      huffma1134658180e_cost(a), 
23.12/23.31	      app_encode_app(huffma1450048681e_tree(a), huffma1450048681e_tree(a), 
23.12/23.31	        app_encode_app(huffma1450048681e_tree(a), 
23.12/23.31	          app_encode_fun(huffma1450048681e_tree(a), 
23.12/23.31	            huffma1450048681e_tree(a)), 
23.12/23.31	          app_encode_app(nat, 
23.12/23.31	            app_encode_fun(huffma1450048681e_tree(a), 
23.12/23.31	              app_encode_fun(huffma1450048681e_tree(a), 
23.12/23.31	                huffma1450048681e_tree(a))), huffma1146269203erNode(a), w), 
23.12/23.31	          t_1), t_2))
23.12/23.31	     != app_encode_app(nat, nat, 
23.12/23.31	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	            app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	              huffma83463279weight(a), t_2)), 
23.12/23.31	          app_encode_app(nat, nat, 
23.12/23.31	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	              app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                huffma1134658180e_cost(a), t_2)), 
23.12/23.31	            app_encode_app(nat, nat, 
23.12/23.31	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	                app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                  huffma83463279weight(a), t_1)), 
23.12/23.31	              app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                huffma1134658180e_cost(a), t_1)))),
23.12/23.31	    inference('demod', [status(thm)],
23.12/23.31	              ['0', '1', '2', '3', '1', '1', '2', '3'])).
23.12/23.31	tff(zf_stmt_57, axiom,
23.12/23.31	  (![A:$tType,T_22:huffma1450048681e_tree(A),T_12:huffma1450048681e_tree(A),
23.12/23.31	     W:nat]:
23.12/23.31	     (app_encode_app(huffma1450048681e_tree(A),nat,huffma1134658180e_cost(A),
23.12/23.31	                     app_encode_app(huffma1450048681e_tree(A),
23.12/23.31	                                    huffma1450048681e_tree(A),
23.12/23.31	                                    app_encode_app(huffma1450048681e_tree(A),
23.12/23.31	                                                   app_encode_fun(huffma1450048681e_tree(
23.12/23.31	                                                                  A),
23.12/23.31	                                                                  huffma1450048681e_tree(
23.12/23.31	                                                                  A)),
23.12/23.31	                                                   app_encode_app(nat,
23.12/23.31	                                                                  app_encode_fun(
23.12/23.31	                                                                  huffma1450048681e_tree(
23.12/23.31	                                                                  A),
23.12/23.31	                                                                  app_encode_fun(
23.12/23.31	                                                                  huffma1450048681e_tree(
23.12/23.31	                                                                  A),
23.12/23.31	                                                                  huffma1450048681e_tree(
23.12/23.31	                                                                  A))),
23.12/23.31	                                                                  huffma1146269203erNode(
23.12/23.31	                                                                  A),W),
23.12/23.31	                                                   T_12),
23.12/23.31	                                    T_22)) =
23.12/23.31	      app_encode_app(nat,nat,
23.12/23.31	                     app_encode_app(nat,app_encode_fun(nat,nat),
23.12/23.31	                                    plus_plus(nat),
23.12/23.31	                                    app_encode_app(nat,nat,
23.12/23.31	                                                   app_encode_app(nat,
23.12/23.31	                                                                  app_encode_fun(
23.12/23.31	                                                                  nat,nat),
23.12/23.31	                                                                  plus_plus(
23.12/23.31	                                                                  nat),
23.12/23.31	                                                                  app_encode_app(
23.12/23.31	                                                                  nat,nat,
23.12/23.31	                                                                  app_encode_app(
23.12/23.31	                                                                  nat,
23.12/23.31	                                                                  app_encode_fun(
23.12/23.31	                                                                  nat,nat),
23.12/23.31	                                                                  plus_plus(
23.12/23.31	                                                                  nat),
23.12/23.31	                                                                  app_encode_app(
23.12/23.31	                                                                  huffma1450048681e_tree(
23.12/23.31	                                                                  A),nat,
23.12/23.31	                                                                  huffma83463279weight(
23.12/23.31	                                                                  A),T_12)),
23.12/23.31	                                                                  app_encode_app(
23.12/23.31	                                                                  huffma1450048681e_tree(
23.12/23.31	                                                                  A),nat,
23.12/23.31	                                                                  huffma1134658180e_cost(
23.12/23.31	                                                                  A),T_12))),
23.12/23.31	                                                   app_encode_app(huffma1450048681e_tree(
23.12/23.31	                                                                  A),nat,
23.12/23.31	                                                                  huffma83463279weight(
23.12/23.31	                                                                  A),T_22))),
23.12/23.31	                     app_encode_app(huffma1450048681e_tree(A),nat,
23.12/23.31	                                    huffma1134658180e_cost(A),T_22))))).
23.12/23.31	tff('5', plain,
23.12/23.31	    ![X16 : $tType, X17 : huffma1450048681e_tree(X16), 
23.12/23.31	      X18 : huffma1450048681e_tree(X16), X19 : nat]:
23.12/23.31	      app_encode_app(huffma1450048681e_tree(X16), nat, 
23.12/23.31	        huffma1134658180e_cost(X16), 
23.12/23.31	        app_encode_app(huffma1450048681e_tree(X16), 
23.12/23.31	          huffma1450048681e_tree(X16), 
23.12/23.31	          app_encode_app(huffma1450048681e_tree(X16), 
23.12/23.31	            app_encode_fun(huffma1450048681e_tree(X16), 
23.12/23.31	              huffma1450048681e_tree(X16)), 
23.12/23.31	            app_encode_app(nat, 
23.12/23.31	              app_encode_fun(huffma1450048681e_tree(X16), 
23.12/23.31	                app_encode_fun(huffma1450048681e_tree(X16), 
23.12/23.31	                  huffma1450048681e_tree(X16))), 
23.12/23.31	              huffma1146269203erNode(X16), X19), X17), X18))
23.12/23.31	       = app_encode_app(nat, nat, 
23.12/23.31	           app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	             app_encode_app(nat, nat, 
23.12/23.31	               app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	                 app_encode_app(nat, nat, 
23.12/23.31	                   app_encode_app(nat, app_encode_fun(nat, nat), 
23.12/23.31	                     plus_plus(nat), 
23.12/23.31	                     app_encode_app(huffma1450048681e_tree(X16), nat, 
23.12/23.31	                       huffma83463279weight(X16), X17)), 
23.12/23.31	                   app_encode_app(huffma1450048681e_tree(X16), nat, 
23.12/23.31	                     huffma1134658180e_cost(X16), X17))), 
23.12/23.31	               app_encode_app(huffma1450048681e_tree(X16), nat, 
23.12/23.31	                 huffma83463279weight(X16), X18))), 
23.12/23.31	           app_encode_app(huffma1450048681e_tree(X16), nat, 
23.12/23.31	             huffma1134658180e_cost(X16), X18)),
23.12/23.31	    inference('cnf', [status(esa)], [zf_stmt_57])).
23.12/23.31	tff('6', plain,
23.12/23.31	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
23.12/23.31	      X2 : huffma1450048681e_tree(X0), X3 : nat]:
23.12/23.31	      app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	        huffma1134658180e_cost(X0), 
23.12/23.31	        app_encode_app(huffma1450048681e_tree(X0), 
23.12/23.31	          huffma1450048681e_tree(X0), 
23.12/23.31	          app_encode_app(huffma1450048681e_tree(X0), 
23.12/23.31	            app_encode_fun(huffma1450048681e_tree(X0), 
23.12/23.31	              huffma1450048681e_tree(X0)), 
23.12/23.31	            app_encode_app(nat, 
23.12/23.31	              app_encode_fun(huffma1450048681e_tree(X0), 
23.12/23.31	                app_encode_fun(huffma1450048681e_tree(X0), 
23.12/23.31	                  huffma1450048681e_tree(X0))), huffma1146269203erNode(X0), 
23.12/23.31	              X3), X2), X1))
23.12/23.31	       = app_encode_app(nat, nat, 
23.12/23.31	           app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	             app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	               huffma1134658180e_cost(X0), X1)), 
23.12/23.31	           app_encode_app(nat, nat, 
23.12/23.31	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	               app_encode_app(nat, nat, 
23.12/23.31	                 app_encode_app(nat, app_encode_fun(nat, nat), 
23.12/23.31	                   plus_plus(nat), 
23.12/23.31	                   app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	                     huffma83463279weight(X0), X2)), 
23.12/23.31	                 app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	                   huffma1134658180e_cost(X0), X2))), 
23.12/23.31	             app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	               huffma83463279weight(X0), X1))),
23.12/23.31	    inference('sup+', [status(thm)], ['2', '5'])).
23.12/23.31	tff('7', plain,
23.12/23.31	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
23.12/23.31	      X2 : huffma1450048681e_tree(X0), X3 : nat]:
23.12/23.31	      app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	        huffma1134658180e_cost(X0), 
23.12/23.31	        app_encode_app(huffma1450048681e_tree(X0), 
23.12/23.31	          huffma1450048681e_tree(X0), 
23.12/23.31	          app_encode_app(huffma1450048681e_tree(X0), 
23.12/23.31	            app_encode_fun(huffma1450048681e_tree(X0), 
23.12/23.31	              huffma1450048681e_tree(X0)), 
23.12/23.31	            app_encode_app(nat, 
23.12/23.31	              app_encode_fun(huffma1450048681e_tree(X0), 
23.12/23.31	                app_encode_fun(huffma1450048681e_tree(X0), 
23.12/23.31	                  huffma1450048681e_tree(X0))), huffma1146269203erNode(X0), 
23.12/23.31	              X3), X2), X1))
23.12/23.31	       = app_encode_app(nat, nat, 
23.12/23.31	           app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	             app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	               huffma1134658180e_cost(X0), X1)), 
23.12/23.31	           app_encode_app(nat, nat, 
23.12/23.31	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	               app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	                 huffma83463279weight(X0), X2)), 
23.12/23.31	             app_encode_app(nat, nat, 
23.12/23.31	               app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	                 app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	                   huffma1134658180e_cost(X0), X2)), 
23.12/23.31	               app_encode_app(huffma1450048681e_tree(X0), nat, 
23.12/23.31	                 huffma83463279weight(X0), X1)))),
23.12/23.31	    inference('demod', [status(thm)], ['6', '1'])).
23.12/23.31	tff('8', plain,
23.12/23.31	    app_encode_app(nat, nat, 
23.12/23.31	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	        app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	          huffma83463279weight(a), t_2)), 
23.12/23.31	      app_encode_app(nat, nat, 
23.12/23.31	        app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	          app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	            huffma1134658180e_cost(a), t_2)), 
23.12/23.31	        app_encode_app(nat, nat, 
23.12/23.31	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	            app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	              huffma83463279weight(a), t_1)), 
23.12/23.31	          app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	            huffma1134658180e_cost(a), t_1))))
23.12/23.31	     != app_encode_app(nat, nat, 
23.12/23.31	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	            app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	              huffma83463279weight(a), t_2)), 
23.12/23.31	          app_encode_app(nat, nat, 
23.12/23.31	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	              app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                huffma1134658180e_cost(a), t_2)), 
23.12/23.31	            app_encode_app(nat, nat, 
23.12/23.31	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
23.12/23.31	                app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                  huffma83463279weight(a), t_1)), 
23.12/23.31	              app_encode_app(huffma1450048681e_tree(a), nat, 
23.12/23.31	                huffma1134658180e_cost(a), t_1)))),
23.12/23.31	    inference('demod', [status(thm)], ['4', '7', '2', '3', '3'])).
23.12/23.31	tff('9', plain, $false, inference('simplify', [status(thm)], ['8'])).
23.12/23.31	
23.12/23.31	% SZS output end Refutation
23.12/23.31	EOF
