0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n172.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:08:39 CST 2018
8.84/9.03	% done 1489 iterations in 8.824s
8.84/9.03	% SZS status Theorem for 'stdin'
8.84/9.03	% SZS output start Refutation
8.84/9.03	tff(zf_stmt_204, axiom, (app_encode_app(bool,$o,pp,fTrue))).
8.84/9.03	tff('0', plain, app_encode_app(bool, $o, pp, fTrue),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_204])).
8.84/9.03	tff(zf_stmt_59, axiom,
8.84/9.03	  (app_encode_app(huffma1450048681e_tree(a),$o,huffma1518433673istent(a),t_1) =>
8.84/9.03	   (?[X3:a]:
8.84/9.03	      (app_encode_app(bool,$o,pp,
8.84/9.03	                      app_encode_app(fun(a,bool),bool,
8.84/9.03	                                     app_encode_app(fun(fun(a,bool),bool),
8.84/9.03	                                                    app_encode_fun(fun(
8.84/9.03	                                                                   a,bool),
8.84/9.03	                                                                   bool),
8.84/9.03	                                                    aa(fun(a,bool),bool),
8.84/9.03	                                                    app_encode_app(a,
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   a,bool),
8.84/9.03	                                                                   bool),
8.84/9.03	                                                                   app_encode_app(
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   a,
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   a,bool),
8.84/9.03	                                                                   bool)),
8.84/9.03	                                                                   app_encode_fun(
8.84/9.03	                                                                   a,
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   a,bool),
8.84/9.03	                                                                   bool)),
8.84/9.03	                                                                   aa(
8.84/9.03	                                                                   a,
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   fun(
8.84/9.03	                                                                   a,bool),
8.84/9.03	                                                                   bool)),
8.84/9.03	                                                                   member(a)),
8.84/9.03	                                                                   X3)),
8.84/9.03	                                     app_encode_app(huffma1450048681e_tree(a),
8.84/9.03	                                                    fun(a,bool),
8.84/9.03	                                                    huffma675207370phabet(a),
8.84/9.03	                                                    t_1))) & 
8.84/9.03	       (app_encode_app(a,nat,
8.84/9.03	                       app_encode_app(huffma1450048681e_tree(a),
8.84/9.03	                                      app_encode_fun(a,nat),
8.84/9.03	                                      huffma410068972_depth(a),t_1),
8.84/9.03	                       X3) =
8.84/9.03	        app_encode_app(huffma1450048681e_tree(a),nat,
8.84/9.03	                       huffma945805758height(a),t_1)))))).
8.84/9.03	tff('1', plain,
8.84/9.03	    (app_encode_app(bool, $o, pp, 
8.84/9.03	       app_encode_app(fun(a, bool), bool, 
8.84/9.03	         app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	           app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	           app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	             app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	               app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	               aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
8.84/9.03	         app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	           huffma675207370phabet(a), t_1)))
8.84/9.03	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
8.84/9.03	           huffma1518433673istent(a), t_1)),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_59])).
8.84/9.03	tff(zf_stmt_130, axiom,
8.84/9.03	  (![B1:$tType,A1:fun(B1,bool),X2:B1]:
8.84/9.03	     (app_encode_app(bool,$o,pp,
8.84/9.03	                     app_encode_app(fun(B1,bool),bool,
8.84/9.03	                                    app_encode_app(fun(fun(B1,bool),bool),
8.84/9.03	                                                   app_encode_fun(fun(
8.84/9.03	                                                                  B1,bool),
8.84/9.03	                                                                  bool),
8.84/9.03	                                                   aa(fun(B1,bool),bool),
8.84/9.03	                                                   app_encode_app(B1,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  B1,bool),
8.84/9.03	                                                                  bool),
8.84/9.03	                                                                  app_encode_app(
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  B1,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  B1,bool),
8.84/9.03	                                                                  bool)),
8.84/9.03	                                                                  app_encode_fun(
8.84/9.03	                                                                  B1,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  B1,bool),
8.84/9.03	                                                                  bool)),
8.84/9.03	                                                                  aa(
8.84/9.03	                                                                  B1,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  B1,bool),
8.84/9.03	                                                                  bool)),
8.84/9.03	                                                                  member(B1)),
8.84/9.03	                                                                  X2)),
8.84/9.03	                                    A1)) <=>
8.84/9.03	      app_encode_app(bool,$o,pp,
8.84/9.03	                     app_encode_app(B1,bool,
8.84/9.03	                                    app_encode_app(fun(B1,bool),
8.84/9.03	                                                   app_encode_fun(B1,bool),
8.84/9.03	                                                   aa(B1,bool),A1),
8.84/9.03	                                    X2))))).
8.84/9.03	tff('2', plain,
8.84/9.03	    ![X265 : $tType, X266 : fun(X265, bool), X267 : X265]:
8.84/9.03	      (app_encode_app(bool, $o, pp, 
8.84/9.03	         app_encode_app(X265, bool, 
8.84/9.03	           app_encode_app(fun(X265, bool), app_encode_fun(X265, bool), 
8.84/9.03	             aa(X265, bool), X266), X267))
8.84/9.03	       | ~ app_encode_app(bool, $o, pp, 
8.84/9.03	             app_encode_app(fun(X265, bool), bool, 
8.84/9.03	               app_encode_app(fun(fun(X265, bool), bool), 
8.84/9.03	                 app_encode_fun(fun(X265, bool), bool), 
8.84/9.03	                 aa(fun(X265, bool), bool), 
8.84/9.03	                 app_encode_app(X265, fun(fun(X265, bool), bool), 
8.84/9.03	                   app_encode_app(fun(X265, fun(fun(X265, bool), bool)), 
8.84/9.03	                     app_encode_fun(X265, fun(fun(X265, bool), bool)), 
8.84/9.03	                     aa(X265, fun(fun(X265, bool), bool)), member(X265)), 
8.84/9.03	                   X267)), X266))),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_130])).
8.84/9.03	tff('3', plain,
8.84/9.03	    (~ $true
8.84/9.03	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
8.84/9.03	           huffma1518433673istent(a), t_1)
8.84/9.03	     | app_encode_app(bool, $o, pp, 
8.84/9.03	         app_encode_app(a, bool, 
8.84/9.03	           app_encode_app(fun(a, bool), app_encode_fun(a, bool), 
8.84/9.03	             aa(a, bool), 
8.84/9.03	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	               huffma675207370phabet(a), t_1)), sk_X31))),
8.84/9.03	    inference('sup-', [status(thm)], ['1', '2'])).
8.84/9.03	tff(zf_stmt_57, axiom,
8.84/9.03	  (app_encode_app(huffma1450048681e_tree(a),$o,huffma1518433673istent(a),
8.84/9.03	                  app_encode_app(huffma1450048681e_tree(a),
8.84/9.03	                                 huffma1450048681e_tree(a),
8.84/9.03	                                 app_encode_app(huffma1450048681e_tree(a),
8.84/9.03	                                                app_encode_fun(huffma1450048681e_tree(
8.84/9.03	                                                               a),
8.84/9.03	                                                               huffma1450048681e_tree(
8.84/9.03	                                                               a)),
8.84/9.03	                                                app_encode_app(nat,
8.84/9.03	                                                               app_encode_fun(
8.84/9.03	                                                               huffma1450048681e_tree(
8.84/9.03	                                                               a),
8.84/9.03	                                                               app_encode_fun(
8.84/9.03	                                                               huffma1450048681e_tree(
8.84/9.03	                                                               a),
8.84/9.03	                                                               huffma1450048681e_tree(
8.84/9.03	                                                               a))),
8.84/9.03	                                                               huffma1146269203erNode(
8.84/9.03	                                                               a),w),
8.84/9.03	                                                t_1),
8.84/9.03	                                 t_2)))).
8.84/9.03	tff('4', plain,
8.84/9.03	    app_encode_app(huffma1450048681e_tree(a), $o, huffma1518433673istent(a), 
8.84/9.03	      app_encode_app(huffma1450048681e_tree(a), huffma1450048681e_tree(a), 
8.84/9.03	        app_encode_app(huffma1450048681e_tree(a), 
8.84/9.03	          app_encode_fun(huffma1450048681e_tree(a), 
8.84/9.03	            huffma1450048681e_tree(a)), 
8.84/9.03	          app_encode_app(nat, 
8.84/9.03	            app_encode_fun(huffma1450048681e_tree(a), 
8.84/9.03	              app_encode_fun(huffma1450048681e_tree(a), 
8.84/9.03	                huffma1450048681e_tree(a))), huffma1146269203erNode(a), w), 
8.84/9.03	          t_1), t_2)),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_57])).
8.84/9.03	tff(zf_stmt_70, axiom,
8.84/9.03	  (![B1:$tType,T_21:huffma1450048681e_tree(B1),
8.84/9.03	     T_11:huffma1450048681e_tree(B1),Wa:nat]:
8.84/9.03	     (app_encode_app(huffma1450048681e_tree(B1),$o,
8.84/9.03	                     huffma1518433673istent(B1),
8.84/9.03	                     app_encode_app(huffma1450048681e_tree(B1),
8.84/9.03	                                    huffma1450048681e_tree(B1),
8.84/9.03	                                    app_encode_app(huffma1450048681e_tree(B1),
8.84/9.03	                                                   app_encode_fun(huffma1450048681e_tree(
8.84/9.03	                                                                  B1),
8.84/9.03	                                                                  huffma1450048681e_tree(
8.84/9.03	                                                                  B1)),
8.84/9.03	                                                   app_encode_app(nat,
8.84/9.03	                                                                  app_encode_fun(
8.84/9.03	                                                                  huffma1450048681e_tree(
8.84/9.03	                                                                  B1),
8.84/9.03	                                                                  app_encode_fun(
8.84/9.03	                                                                  huffma1450048681e_tree(
8.84/9.03	                                                                  B1),
8.84/9.03	                                                                  huffma1450048681e_tree(
8.84/9.03	                                                                  B1))),
8.84/9.03	                                                                  huffma1146269203erNode(
8.84/9.03	                                                                  B1),Wa),
8.84/9.03	                                                   T_11),
8.84/9.03	                                    T_21)) <=>
8.84/9.03	      (app_encode_app(huffma1450048681e_tree(B1),$o,
8.84/9.03	                      huffma1518433673istent(B1),T_11) & 
8.84/9.03	       app_encode_app(huffma1450048681e_tree(B1),$o,
8.84/9.03	                      huffma1518433673istent(B1),T_21) & 
8.84/9.03	       (app_encode_app(fun(B1,bool),fun(B1,bool),
8.84/9.03	                       app_encode_app(fun(B1,bool),
8.84/9.03	                                      app_encode_fun(fun(B1,bool),
8.84/9.03	                                                     fun(B1,bool)),
8.84/9.03	                                      inf_inf(fun(B1,bool)),
8.84/9.03	                                      app_encode_app(huffma1450048681e_tree(
8.84/9.03	                                                     B1),fun(B1,bool),
8.84/9.03	                                                     huffma675207370phabet(
8.84/9.03	                                                     B1),T_11)),
8.84/9.03	                       app_encode_app(huffma1450048681e_tree(B1),
8.84/9.03	                                      fun(B1,bool),huffma675207370phabet(B1),
8.84/9.03	                                      T_21)) =
8.84/9.03	        bot_bot(fun(B1,bool))))))).
8.84/9.03	tff('5', plain,
8.84/9.03	    ![X41 : $tType, X42 : huffma1450048681e_tree(X41), X43 : nat, 
8.84/9.03	      X44 : huffma1450048681e_tree(X41)]:
8.84/9.03	      (app_encode_app(huffma1450048681e_tree(X41), $o, 
8.84/9.03	         huffma1518433673istent(X41), X42)
8.84/9.03	       | ~ app_encode_app(huffma1450048681e_tree(X41), $o, 
8.84/9.03	             huffma1518433673istent(X41), 
8.84/9.03	             app_encode_app(huffma1450048681e_tree(X41), 
8.84/9.03	               huffma1450048681e_tree(X41), 
8.84/9.03	               app_encode_app(huffma1450048681e_tree(X41), 
8.84/9.03	                 app_encode_fun(huffma1450048681e_tree(X41), 
8.84/9.03	                   huffma1450048681e_tree(X41)), 
8.84/9.03	                 app_encode_app(nat, 
8.84/9.03	                   app_encode_fun(huffma1450048681e_tree(X41), 
8.84/9.03	                     app_encode_fun(huffma1450048681e_tree(X41), 
8.84/9.03	                       huffma1450048681e_tree(X41))), 
8.84/9.03	                   huffma1146269203erNode(X41), X43), X42), X44))),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_70])).
8.84/9.03	tff('6', plain,
8.84/9.03	    (~ $true
8.84/9.03	     | app_encode_app(huffma1450048681e_tree(a), $o, 
8.84/9.03	         huffma1518433673istent(a), t_1)),
8.84/9.03	    inference('sup-', [status(thm)], ['4', '5'])).
8.84/9.03	tff('7', plain,
8.84/9.03	    app_encode_app(huffma1450048681e_tree(a), $o, huffma1518433673istent(a), 
8.84/9.03	      t_1),
8.84/9.03	    inference('simplify', [status(thm)], ['6'])).
8.84/9.03	tff('8', plain,
8.84/9.03	    (~ $true
8.84/9.03	     | ~ $true
8.84/9.03	     | app_encode_app(bool, $o, pp, 
8.84/9.03	         app_encode_app(a, bool, 
8.84/9.03	           app_encode_app(fun(a, bool), app_encode_fun(a, bool), 
8.84/9.03	             aa(a, bool), 
8.84/9.03	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	               huffma675207370phabet(a), t_1)), sk_X31))),
8.84/9.03	    inference('demod', [status(thm)], ['3', '7'])).
8.84/9.03	tff('9', plain,
8.84/9.03	    app_encode_app(bool, $o, pp, 
8.84/9.03	      app_encode_app(a, bool, 
8.84/9.03	        app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
8.84/9.03	          app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	            huffma675207370phabet(a), t_1)), sk_X31)),
8.84/9.03	    inference('simplify', [status(thm)], ['8'])).
8.84/9.03	tff('10', plain,
8.84/9.03	    ![X265 : $tType, X266 : fun(X265, bool), X268 : X265]:
8.84/9.03	      (app_encode_app(bool, $o, pp, 
8.84/9.03	         app_encode_app(fun(X265, bool), bool, 
8.84/9.03	           app_encode_app(fun(fun(X265, bool), bool), 
8.84/9.03	             app_encode_fun(fun(X265, bool), bool), 
8.84/9.03	             aa(fun(X265, bool), bool), 
8.84/9.03	             app_encode_app(X265, fun(fun(X265, bool), bool), 
8.84/9.03	               app_encode_app(fun(X265, fun(fun(X265, bool), bool)), 
8.84/9.03	                 app_encode_fun(X265, fun(fun(X265, bool), bool)), 
8.84/9.03	                 aa(X265, fun(fun(X265, bool), bool)), member(X265)), X268)), 
8.84/9.03	           X266))
8.84/9.03	       | ~ app_encode_app(bool, $o, pp, 
8.84/9.03	             app_encode_app(X265, bool, 
8.84/9.03	               app_encode_app(fun(X265, bool), app_encode_fun(X265, bool), 
8.84/9.03	                 aa(X265, bool), X266), X268))),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_130])).
8.84/9.03	tff('11', plain,
8.84/9.03	    (~ $true
8.84/9.03	     | app_encode_app(bool, $o, pp, 
8.84/9.03	         app_encode_app(fun(a, bool), bool, 
8.84/9.03	           app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	             app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	             app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	               app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                 app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                 aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
8.84/9.03	           app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	             huffma675207370phabet(a), t_1)))),
8.84/9.03	    inference('sup-', [status(thm)], ['9', '10'])).
8.84/9.03	tff('12', plain,
8.84/9.03	    app_encode_app(bool, $o, pp, 
8.84/9.03	      app_encode_app(fun(a, bool), bool, 
8.84/9.03	        app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	          app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	          app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	            app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	              app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	              aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
8.84/9.03	        app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	          huffma675207370phabet(a), t_1))),
8.84/9.03	    inference('simplify', [status(thm)], ['11'])).
8.84/9.03	tff(zf_stmt_216, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
8.84/9.03	tff('13', plain, ![X412 : bool]: (X412 = fTrue | X412 = fFalse),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_216])).
8.84/9.03	tff(zf_stmt_203, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
8.84/9.03	tff('14', plain, ~ app_encode_app(bool, $o, pp, fFalse),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_203])).
8.84/9.03	tff('15', plain,
8.84/9.03	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
8.84/9.03	    inference('sup-', [status(thm)], ['13', '14'])).
8.84/9.03	tff('16', plain,
8.84/9.03	    (~ $true
8.84/9.03	     | app_encode_app(fun(a, bool), bool, 
8.84/9.03	         app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	           app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	           app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	             app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	               app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	               aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
8.84/9.03	         app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	           huffma675207370phabet(a), t_1))
8.84/9.03	        = fTrue),
8.84/9.03	    inference('sup-', [status(thm)], ['12', '15'])).
8.84/9.03	tff('17', plain,
8.84/9.03	    app_encode_app(fun(a, bool), bool, 
8.84/9.03	      app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	        app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	        app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	          app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	            app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	            aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
8.84/9.03	      app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	        huffma675207370phabet(a), t_1))
8.84/9.03	     = fTrue,
8.84/9.03	    inference('simplify', [status(thm)], ['16'])).
8.84/9.03	tff(zf_stmt_206, axiom,
8.84/9.03	  (![A:$tType,C:$tType,B1:$tType,R:A,Q:B1,P:fun(A,fun(B1,C))]:
8.84/9.03	     (app_encode_app(A,C,
8.84/9.03	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
8.84/9.03	                                    app_encode_app(B1,fun(A,C),
8.84/9.03	                                                   app_encode_app(fun(
8.84/9.03	                                                                  A,fun(B1,C)),
8.84/9.03	                                                                  app_encode_fun(
8.84/9.03	                                                                  B1,
8.84/9.03	                                                                  fun(A,C)),
8.84/9.03	                                                                  combc(
8.84/9.03	                                                                  A,B1,C),P),
8.84/9.03	                                                   Q)),
8.84/9.03	                     R) =
8.84/9.03	      app_encode_app(B1,C,
8.84/9.03	                     app_encode_app(fun(B1,C),app_encode_fun(B1,C),aa(B1,C),
8.84/9.03	                                    app_encode_app(A,fun(B1,C),
8.84/9.03	                                                   app_encode_app(fun(
8.84/9.03	                                                                  A,fun(B1,C)),
8.84/9.03	                                                                  app_encode_fun(
8.84/9.03	                                                                  A,fun(B1,C)),
8.84/9.03	                                                                  aa(
8.84/9.03	                                                                  A,fun(B1,C)),
8.84/9.03	                                                                  P),
8.84/9.03	                                                   R)),
8.84/9.03	                     Q)))).
8.84/9.03	tff('18', plain,
8.84/9.03	    ![X384 : $tType, X385 : $tType, X386 : $tType, 
8.84/9.03	      X387 : fun(X386, fun(X384, X385)), X388 : X386, X389 : X384]:
8.84/9.03	      app_encode_app(X386, X385, 
8.84/9.03	        app_encode_app(fun(X386, X385), app_encode_fun(X386, X385), 
8.84/9.03	          aa(X386, X385), 
8.84/9.03	          app_encode_app(X384, fun(X386, X385), 
8.84/9.03	            app_encode_app(fun(X386, fun(X384, X385)), 
8.84/9.03	              app_encode_fun(X384, fun(X386, X385)), 
8.84/9.03	              combc(X386, X384, X385), X387), X389)), X388)
8.84/9.03	       = app_encode_app(X384, X385, 
8.84/9.03	           app_encode_app(fun(X384, X385), app_encode_fun(X384, X385), 
8.84/9.03	             aa(X384, X385), 
8.84/9.03	             app_encode_app(X386, fun(X384, X385), 
8.84/9.03	               app_encode_app(fun(X386, fun(X384, X385)), 
8.84/9.03	                 app_encode_fun(X386, fun(X384, X385)), 
8.84/9.03	                 aa(X386, fun(X384, X385)), X387), X388)), X389),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_206])).
8.84/9.03	tff('19', plain,
8.84/9.03	    app_encode_app(a, bool, 
8.84/9.03	      app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
8.84/9.03	        app_encode_app(fun(a, bool), fun(a, bool), 
8.84/9.03	          app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	            app_encode_fun(fun(a, bool), fun(a, bool)), 
8.84/9.03	            combc(a, fun(a, bool), bool), member(a)), 
8.84/9.03	          app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	            huffma675207370phabet(a), t_1))), sk_X31)
8.84/9.03	     = fTrue,
8.84/9.03	    inference('demod', [status(thm)], ['17', '18'])).
8.84/9.03	tff('20', plain,
8.84/9.03	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
8.84/9.03	    inference('sup+', [status(thm)], ['13', '0'])).
8.84/9.03	tff('21', plain,
8.84/9.03	    (app_encode_app(a, nat, 
8.84/9.03	       app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
8.84/9.03	         huffma410068972_depth(a), t_1), sk_X31)
8.84/9.03	      = app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	          huffma945805758height(a), t_1)
8.84/9.03	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
8.84/9.03	           huffma1518433673istent(a), t_1)),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_59])).
8.84/9.03	tff(zf_stmt_217, axiom,
8.84/9.03	  (![B:a]:
8.84/9.03	     (app_encode_app(bool,$o,pp,
8.84/9.03	                     app_encode_app(fun(a,bool),bool,
8.84/9.03	                                    app_encode_app(fun(fun(a,bool),bool),
8.84/9.03	                                                   app_encode_fun(fun(a,bool),
8.84/9.03	                                                                  bool),
8.84/9.03	                                                   aa(fun(a,bool),bool),
8.84/9.03	                                                   app_encode_app(a,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(a,bool),
8.84/9.03	                                                                  bool),
8.84/9.03	                                                                  app_encode_app(
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  a,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(a,bool),
8.84/9.03	                                                                  bool)),
8.84/9.03	                                                                  app_encode_fun(
8.84/9.03	                                                                  a,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(a,bool),
8.84/9.03	                                                                  bool)),
8.84/9.03	                                                                  aa(
8.84/9.03	                                                                  a,
8.84/9.03	                                                                  fun(
8.84/9.03	                                                                  fun(a,bool),
8.84/9.03	                                                                  bool)),
8.84/9.03	                                                                  member(a)),
8.84/9.03	                                                                  B)),
8.84/9.03	                                    app_encode_app(huffma1450048681e_tree(a),
8.84/9.03	                                                   fun(a,bool),
8.84/9.03	                                                   huffma675207370phabet(a),
8.84/9.03	                                                   t_1))) =>
8.84/9.03	      ((app_encode_app(a,nat,
8.84/9.03	                       app_encode_app(huffma1450048681e_tree(a),
8.84/9.03	                                      app_encode_fun(a,nat),
8.84/9.03	                                      huffma410068972_depth(a),t_1),
8.84/9.03	                       B) =
8.84/9.03	        app_encode_app(huffma1450048681e_tree(a),nat,
8.84/9.03	                       huffma945805758height(a),t_1)) =>
8.84/9.03	       thesis)))).
8.84/9.03	tff('22', plain,
8.84/9.03	    ![X413 : a]:
8.84/9.03	      (thesis
8.84/9.03	       | ~ app_encode_app(bool, $o, pp, 
8.84/9.03	             app_encode_app(fun(a, bool), bool, 
8.84/9.03	               app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	                 app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	                 app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	                   app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                     app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                     aa(a, fun(fun(a, bool), bool)), member(a)), X413)), 
8.84/9.03	               app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	                 huffma675207370phabet(a), t_1)))
8.84/9.03	       | app_encode_app(a, nat, 
8.84/9.03	           app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
8.84/9.03	             huffma410068972_depth(a), t_1), X413)
8.84/9.03	          != app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	               huffma945805758height(a), t_1)),
8.84/9.03	    inference('cnf', [status(esa)], [zf_stmt_217])).
8.84/9.03	tff(zf_stmt_218, conjecture, (thesis)).
8.84/9.03	tff(zf_stmt_0, negated_conjecture, (~thesis)).
8.84/9.03	tff('23', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
8.84/9.03	tff('24', plain,
8.84/9.03	    ![X413 : a]:
8.84/9.03	      (app_encode_app(a, nat, 
8.84/9.03	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
8.84/9.03	           huffma410068972_depth(a), t_1), X413)
8.84/9.03	        != app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	             huffma945805758height(a), t_1)
8.84/9.03	       | ~ app_encode_app(bool, $o, pp, 
8.84/9.03	             app_encode_app(fun(a, bool), bool, 
8.84/9.03	               app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	                 app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	                 app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	                   app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                     app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                     aa(a, fun(fun(a, bool), bool)), member(a)), X413)), 
8.84/9.03	               app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	                 huffma675207370phabet(a), t_1)))),
8.84/9.03	    inference('clc', [status(thm)], ['22', '23'])).
8.84/9.03	tff('25', plain,
8.84/9.03	    (app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	       huffma945805758height(a), t_1)
8.84/9.03	      != app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	           huffma945805758height(a), t_1)
8.84/9.03	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
8.84/9.03	           huffma1518433673istent(a), t_1)
8.84/9.03	     | ~ app_encode_app(bool, $o, pp, 
8.84/9.03	           app_encode_app(fun(a, bool), bool, 
8.84/9.03	             app_encode_app(fun(fun(a, bool), bool), 
8.84/9.03	               app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
8.84/9.03	               app_encode_app(a, fun(fun(a, bool), bool), 
8.84/9.03	                 app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                   app_encode_fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                   aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
8.84/9.03	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	               huffma675207370phabet(a), t_1)))),
8.84/9.03	    inference('sup-', [status(thm)], ['21', '24'])).
8.84/9.03	tff('26', plain,
8.84/9.03	    (app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	       huffma945805758height(a), t_1)
8.84/9.03	      != app_encode_app(huffma1450048681e_tree(a), nat, 
8.84/9.03	           huffma945805758height(a), t_1)
8.84/9.03	     | ~ $true
8.84/9.03	     | ~ app_encode_app(bool, $o, pp, 
8.84/9.03	           app_encode_app(a, bool, 
8.84/9.03	             app_encode_app(fun(a, bool), app_encode_fun(a, bool), 
8.84/9.03	               aa(a, bool), 
8.84/9.03	               app_encode_app(fun(a, bool), fun(a, bool), 
8.84/9.03	                 app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                   app_encode_fun(fun(a, bool), fun(a, bool)), 
8.84/9.03	                   combc(a, fun(a, bool), bool), member(a)), 
8.84/9.03	                 app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	                   huffma675207370phabet(a), t_1))), sk_X31))),
8.84/9.03	    inference('demod', [status(thm)], ['25', '7', '18'])).
8.84/9.03	tff('27', plain,
8.84/9.03	    ~ app_encode_app(bool, $o, pp, 
8.84/9.03	        app_encode_app(a, bool, 
8.84/9.03	          app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
8.84/9.03	            app_encode_app(fun(a, bool), fun(a, bool), 
8.84/9.03	              app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	                app_encode_fun(fun(a, bool), fun(a, bool)), 
8.84/9.03	                combc(a, fun(a, bool), bool), member(a)), 
8.84/9.03	              app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	                huffma675207370phabet(a), t_1))), sk_X31)),
8.84/9.03	    inference('simplify', [status(thm)], ['26'])).
8.84/9.03	tff('28', plain,
8.84/9.03	    (~ $true
8.84/9.03	     | app_encode_app(a, bool, 
8.84/9.03	         app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
8.84/9.03	           app_encode_app(fun(a, bool), fun(a, bool), 
8.84/9.03	             app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	               app_encode_fun(fun(a, bool), fun(a, bool)), 
8.84/9.03	               combc(a, fun(a, bool), bool), member(a)), 
8.84/9.03	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	               huffma675207370phabet(a), t_1))), sk_X31)
8.84/9.03	        = fFalse),
8.84/9.03	    inference('sup-', [status(thm)], ['20', '27'])).
8.84/9.03	tff('29', plain,
8.84/9.03	    app_encode_app(a, bool, 
8.84/9.03	      app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
8.84/9.03	        app_encode_app(fun(a, bool), fun(a, bool), 
8.84/9.03	          app_encode_app(fun(a, fun(fun(a, bool), bool)), 
8.84/9.03	            app_encode_fun(fun(a, bool), fun(a, bool)), 
8.84/9.03	            combc(a, fun(a, bool), bool), member(a)), 
8.84/9.03	          app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
8.84/9.03	            huffma675207370phabet(a), t_1))), sk_X31)
8.84/9.03	     = fFalse,
8.84/9.03	    inference('simplify', [status(thm)], ['28'])).
8.84/9.03	tff('30', plain, fTrue = fFalse,
8.84/9.03	    inference('sup+', [status(thm)], ['19', '29'])).
8.84/9.03	tff('31', plain, app_encode_app(bool, $o, pp, fFalse),
8.84/9.03	    inference('demod', [status(thm)], ['0', '30'])).
8.84/9.03	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['31', '14'])).
8.84/9.03	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
8.84/9.03	
8.84/9.03	% SZS output end Refutation
8.84/9.04	EOF
