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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n091.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 10:08:39 CST 2018
9.52/9.72	% done 1517 iterations in 9.522s
9.52/9.72	% SZS status Theorem for 'stdin'
9.52/9.72	% SZS output start Refutation
9.52/9.72	tff(zf_stmt_205, axiom, (app_encode_app(bool,$o,pp,fTrue))).
9.52/9.72	tff('0', plain, app_encode_app(bool, $o, pp, fTrue),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_205])).
9.52/9.72	tff(zf_stmt_60, axiom,
9.52/9.72	  (app_encode_app(huffma1450048681e_tree(a),$o,huffma1518433673istent(a),t_1) =>
9.52/9.72	   (?[X3:a]:
9.52/9.72	      (app_encode_app(bool,$o,pp,
9.52/9.72	                      app_encode_app(fun(a,bool),bool,
9.52/9.72	                                     app_encode_app(fun(fun(a,bool),bool),
9.52/9.72	                                                    app_encode_fun(fun(
9.52/9.72	                                                                   a,bool),
9.52/9.72	                                                                   bool),
9.52/9.72	                                                    aa(fun(a,bool),bool),
9.52/9.72	                                                    app_encode_app(a,
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   a,bool),
9.52/9.72	                                                                   bool),
9.52/9.72	                                                                   app_encode_app(
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   a,
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   a,bool),
9.52/9.72	                                                                   bool)),
9.52/9.72	                                                                   app_encode_fun(
9.52/9.72	                                                                   a,
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   a,bool),
9.52/9.72	                                                                   bool)),
9.52/9.72	                                                                   aa(
9.52/9.72	                                                                   a,
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   fun(
9.52/9.72	                                                                   a,bool),
9.52/9.72	                                                                   bool)),
9.52/9.72	                                                                   member(a)),
9.52/9.72	                                                                   X3)),
9.52/9.72	                                     app_encode_app(huffma1450048681e_tree(a),
9.52/9.72	                                                    fun(a,bool),
9.52/9.72	                                                    huffma675207370phabet(a),
9.52/9.72	                                                    t_1))) & 
9.52/9.72	       (app_encode_app(a,nat,
9.52/9.72	                       app_encode_app(huffma1450048681e_tree(a),
9.52/9.72	                                      app_encode_fun(a,nat),
9.52/9.72	                                      huffma410068972_depth(a),t_1),
9.52/9.72	                       X3) =
9.52/9.72	        app_encode_app(huffma1450048681e_tree(a),nat,
9.52/9.72	                       huffma945805758height(a),t_1)))))).
9.52/9.72	tff('1', plain,
9.52/9.72	    (app_encode_app(bool, $o, pp, 
9.52/9.72	       app_encode_app(fun(a, bool), bool, 
9.52/9.72	         app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	           app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	           app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	             app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	               app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	               aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
9.52/9.72	         app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	           huffma675207370phabet(a), t_1)))
9.52/9.72	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
9.52/9.72	           huffma1518433673istent(a), t_1)),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_60])).
9.52/9.72	tff(zf_stmt_131, axiom,
9.52/9.72	  (![B1:$tType,A1:fun(B1,bool),X2:B1]:
9.52/9.72	     (app_encode_app(bool,$o,pp,
9.52/9.72	                     app_encode_app(fun(B1,bool),bool,
9.52/9.72	                                    app_encode_app(fun(fun(B1,bool),bool),
9.52/9.72	                                                   app_encode_fun(fun(
9.52/9.72	                                                                  B1,bool),
9.52/9.72	                                                                  bool),
9.52/9.72	                                                   aa(fun(B1,bool),bool),
9.52/9.72	                                                   app_encode_app(B1,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  B1,bool),
9.52/9.72	                                                                  bool),
9.52/9.72	                                                                  app_encode_app(
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  B1,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  B1,bool),
9.52/9.72	                                                                  bool)),
9.52/9.72	                                                                  app_encode_fun(
9.52/9.72	                                                                  B1,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  B1,bool),
9.52/9.72	                                                                  bool)),
9.52/9.72	                                                                  aa(
9.52/9.72	                                                                  B1,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  B1,bool),
9.52/9.72	                                                                  bool)),
9.52/9.72	                                                                  member(B1)),
9.52/9.72	                                                                  X2)),
9.52/9.72	                                    A1)) <=>
9.52/9.72	      app_encode_app(bool,$o,pp,
9.52/9.72	                     app_encode_app(B1,bool,
9.52/9.72	                                    app_encode_app(fun(B1,bool),
9.52/9.72	                                                   app_encode_fun(B1,bool),
9.52/9.72	                                                   aa(B1,bool),A1),
9.52/9.72	                                    X2))))).
9.52/9.72	tff('2', plain,
9.52/9.72	    ![X269 : $tType, X270 : fun(X269, bool), X271 : X269]:
9.52/9.72	      (app_encode_app(bool, $o, pp, 
9.52/9.72	         app_encode_app(X269, bool, 
9.52/9.72	           app_encode_app(fun(X269, bool), app_encode_fun(X269, bool), 
9.52/9.72	             aa(X269, bool), X270), X271))
9.52/9.72	       | ~ app_encode_app(bool, $o, pp, 
9.52/9.72	             app_encode_app(fun(X269, bool), bool, 
9.52/9.72	               app_encode_app(fun(fun(X269, bool), bool), 
9.52/9.72	                 app_encode_fun(fun(X269, bool), bool), 
9.52/9.72	                 aa(fun(X269, bool), bool), 
9.52/9.72	                 app_encode_app(X269, fun(fun(X269, bool), bool), 
9.52/9.72	                   app_encode_app(fun(X269, fun(fun(X269, bool), bool)), 
9.52/9.72	                     app_encode_fun(X269, fun(fun(X269, bool), bool)), 
9.52/9.72	                     aa(X269, fun(fun(X269, bool), bool)), member(X269)), 
9.52/9.72	                   X271)), X270))),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_131])).
9.52/9.72	tff('3', plain,
9.52/9.72	    (~ $true
9.52/9.72	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
9.52/9.72	           huffma1518433673istent(a), t_1)
9.52/9.72	     | app_encode_app(bool, $o, pp, 
9.52/9.72	         app_encode_app(a, bool, 
9.52/9.72	           app_encode_app(fun(a, bool), app_encode_fun(a, bool), 
9.52/9.72	             aa(a, bool), 
9.52/9.72	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	               huffma675207370phabet(a), t_1)), sk_X31))),
9.52/9.72	    inference('sup-', [status(thm)], ['1', '2'])).
9.52/9.72	tff(zf_stmt_58, axiom,
9.52/9.72	  (app_encode_app(huffma1450048681e_tree(a),$o,huffma1518433673istent(a),
9.52/9.72	                  app_encode_app(huffma1450048681e_tree(a),
9.52/9.72	                                 huffma1450048681e_tree(a),
9.52/9.72	                                 app_encode_app(huffma1450048681e_tree(a),
9.52/9.72	                                                app_encode_fun(huffma1450048681e_tree(
9.52/9.72	                                                               a),
9.52/9.72	                                                               huffma1450048681e_tree(
9.52/9.72	                                                               a)),
9.52/9.72	                                                app_encode_app(nat,
9.52/9.72	                                                               app_encode_fun(
9.52/9.72	                                                               huffma1450048681e_tree(
9.52/9.72	                                                               a),
9.52/9.72	                                                               app_encode_fun(
9.52/9.72	                                                               huffma1450048681e_tree(
9.52/9.72	                                                               a),
9.52/9.72	                                                               huffma1450048681e_tree(
9.52/9.72	                                                               a))),
9.52/9.72	                                                               huffma1146269203erNode(
9.52/9.72	                                                               a),w),
9.52/9.72	                                                t_1),
9.52/9.72	                                 t_2)))).
9.52/9.72	tff('4', plain,
9.52/9.72	    app_encode_app(huffma1450048681e_tree(a), $o, huffma1518433673istent(a), 
9.52/9.72	      app_encode_app(huffma1450048681e_tree(a), huffma1450048681e_tree(a), 
9.52/9.72	        app_encode_app(huffma1450048681e_tree(a), 
9.52/9.72	          app_encode_fun(huffma1450048681e_tree(a), 
9.52/9.72	            huffma1450048681e_tree(a)), 
9.52/9.72	          app_encode_app(nat, 
9.52/9.72	            app_encode_fun(huffma1450048681e_tree(a), 
9.52/9.72	              app_encode_fun(huffma1450048681e_tree(a), 
9.52/9.72	                huffma1450048681e_tree(a))), huffma1146269203erNode(a), w), 
9.52/9.72	          t_1), t_2)),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_58])).
9.52/9.72	tff(zf_stmt_71, axiom,
9.52/9.72	  (![B1:$tType,T_21:huffma1450048681e_tree(B1),
9.52/9.72	     T_11:huffma1450048681e_tree(B1),Wa:nat]:
9.52/9.72	     (app_encode_app(huffma1450048681e_tree(B1),$o,
9.52/9.72	                     huffma1518433673istent(B1),
9.52/9.72	                     app_encode_app(huffma1450048681e_tree(B1),
9.52/9.72	                                    huffma1450048681e_tree(B1),
9.52/9.72	                                    app_encode_app(huffma1450048681e_tree(B1),
9.52/9.72	                                                   app_encode_fun(huffma1450048681e_tree(
9.52/9.72	                                                                  B1),
9.52/9.72	                                                                  huffma1450048681e_tree(
9.52/9.72	                                                                  B1)),
9.52/9.72	                                                   app_encode_app(nat,
9.52/9.72	                                                                  app_encode_fun(
9.52/9.72	                                                                  huffma1450048681e_tree(
9.52/9.72	                                                                  B1),
9.52/9.72	                                                                  app_encode_fun(
9.52/9.72	                                                                  huffma1450048681e_tree(
9.52/9.72	                                                                  B1),
9.52/9.72	                                                                  huffma1450048681e_tree(
9.52/9.72	                                                                  B1))),
9.52/9.72	                                                                  huffma1146269203erNode(
9.52/9.72	                                                                  B1),Wa),
9.52/9.72	                                                   T_11),
9.52/9.72	                                    T_21)) <=>
9.52/9.72	      (app_encode_app(huffma1450048681e_tree(B1),$o,
9.52/9.72	                      huffma1518433673istent(B1),T_11) & 
9.52/9.72	       app_encode_app(huffma1450048681e_tree(B1),$o,
9.52/9.72	                      huffma1518433673istent(B1),T_21) & 
9.52/9.72	       (app_encode_app(fun(B1,bool),fun(B1,bool),
9.52/9.72	                       app_encode_app(fun(B1,bool),
9.52/9.72	                                      app_encode_fun(fun(B1,bool),
9.52/9.72	                                                     fun(B1,bool)),
9.52/9.72	                                      inf_inf(fun(B1,bool)),
9.52/9.72	                                      app_encode_app(huffma1450048681e_tree(
9.52/9.72	                                                     B1),fun(B1,bool),
9.52/9.72	                                                     huffma675207370phabet(
9.52/9.72	                                                     B1),T_11)),
9.52/9.72	                       app_encode_app(huffma1450048681e_tree(B1),
9.52/9.72	                                      fun(B1,bool),huffma675207370phabet(B1),
9.52/9.72	                                      T_21)) =
9.52/9.72	        bot_bot(fun(B1,bool))))))).
9.52/9.72	tff('5', plain,
9.52/9.72	    ![X45 : $tType, X46 : huffma1450048681e_tree(X45), X47 : nat, 
9.52/9.72	      X48 : huffma1450048681e_tree(X45)]:
9.52/9.72	      (app_encode_app(huffma1450048681e_tree(X45), $o, 
9.52/9.72	         huffma1518433673istent(X45), X46)
9.52/9.72	       | ~ app_encode_app(huffma1450048681e_tree(X45), $o, 
9.52/9.72	             huffma1518433673istent(X45), 
9.52/9.72	             app_encode_app(huffma1450048681e_tree(X45), 
9.52/9.72	               huffma1450048681e_tree(X45), 
9.52/9.72	               app_encode_app(huffma1450048681e_tree(X45), 
9.52/9.72	                 app_encode_fun(huffma1450048681e_tree(X45), 
9.52/9.72	                   huffma1450048681e_tree(X45)), 
9.52/9.72	                 app_encode_app(nat, 
9.52/9.72	                   app_encode_fun(huffma1450048681e_tree(X45), 
9.52/9.72	                     app_encode_fun(huffma1450048681e_tree(X45), 
9.52/9.72	                       huffma1450048681e_tree(X45))), 
9.52/9.72	                   huffma1146269203erNode(X45), X47), X46), X48))),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_71])).
9.52/9.72	tff('6', plain,
9.52/9.72	    (~ $true
9.52/9.72	     | app_encode_app(huffma1450048681e_tree(a), $o, 
9.52/9.72	         huffma1518433673istent(a), t_1)),
9.52/9.72	    inference('sup-', [status(thm)], ['4', '5'])).
9.52/9.72	tff('7', plain,
9.52/9.72	    app_encode_app(huffma1450048681e_tree(a), $o, huffma1518433673istent(a), 
9.52/9.72	      t_1),
9.52/9.72	    inference('simplify', [status(thm)], ['6'])).
9.52/9.72	tff('8', plain,
9.52/9.72	    (~ $true
9.52/9.72	     | ~ $true
9.52/9.72	     | app_encode_app(bool, $o, pp, 
9.52/9.72	         app_encode_app(a, bool, 
9.52/9.72	           app_encode_app(fun(a, bool), app_encode_fun(a, bool), 
9.52/9.72	             aa(a, bool), 
9.52/9.72	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	               huffma675207370phabet(a), t_1)), sk_X31))),
9.52/9.72	    inference('demod', [status(thm)], ['3', '7'])).
9.52/9.72	tff('9', plain,
9.52/9.72	    app_encode_app(bool, $o, pp, 
9.52/9.72	      app_encode_app(a, bool, 
9.52/9.72	        app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
9.52/9.72	          app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	            huffma675207370phabet(a), t_1)), sk_X31)),
9.52/9.72	    inference('simplify', [status(thm)], ['8'])).
9.52/9.72	tff('10', plain,
9.52/9.72	    ![X269 : $tType, X270 : fun(X269, bool), X272 : X269]:
9.52/9.72	      (app_encode_app(bool, $o, pp, 
9.52/9.72	         app_encode_app(fun(X269, bool), bool, 
9.52/9.72	           app_encode_app(fun(fun(X269, bool), bool), 
9.52/9.72	             app_encode_fun(fun(X269, bool), bool), 
9.52/9.72	             aa(fun(X269, bool), bool), 
9.52/9.72	             app_encode_app(X269, fun(fun(X269, bool), bool), 
9.52/9.72	               app_encode_app(fun(X269, fun(fun(X269, bool), bool)), 
9.52/9.72	                 app_encode_fun(X269, fun(fun(X269, bool), bool)), 
9.52/9.72	                 aa(X269, fun(fun(X269, bool), bool)), member(X269)), X272)), 
9.52/9.72	           X270))
9.52/9.72	       | ~ app_encode_app(bool, $o, pp, 
9.52/9.72	             app_encode_app(X269, bool, 
9.52/9.72	               app_encode_app(fun(X269, bool), app_encode_fun(X269, bool), 
9.52/9.72	                 aa(X269, bool), X270), X272))),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_131])).
9.52/9.72	tff('11', plain,
9.52/9.72	    (~ $true
9.52/9.72	     | app_encode_app(bool, $o, pp, 
9.52/9.72	         app_encode_app(fun(a, bool), bool, 
9.52/9.72	           app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	             app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	             app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	               app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                 app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                 aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
9.52/9.72	           app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	             huffma675207370phabet(a), t_1)))),
9.52/9.72	    inference('sup-', [status(thm)], ['9', '10'])).
9.52/9.72	tff('12', plain,
9.52/9.72	    app_encode_app(bool, $o, pp, 
9.52/9.72	      app_encode_app(fun(a, bool), bool, 
9.52/9.72	        app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	          app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	          app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	            app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	              app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	              aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
9.52/9.72	        app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	          huffma675207370phabet(a), t_1))),
9.52/9.72	    inference('simplify', [status(thm)], ['11'])).
9.52/9.72	tff(zf_stmt_217, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
9.52/9.72	tff('13', plain, ![X416 : bool]: (X416 = fTrue | X416 = fFalse),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_217])).
9.52/9.72	tff(zf_stmt_204, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
9.52/9.72	tff('14', plain, ~ app_encode_app(bool, $o, pp, fFalse),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_204])).
9.52/9.72	tff('15', plain,
9.52/9.72	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
9.52/9.72	    inference('sup-', [status(thm)], ['13', '14'])).
9.52/9.72	tff('16', plain,
9.52/9.72	    (~ $true
9.52/9.72	     | app_encode_app(fun(a, bool), bool, 
9.52/9.72	         app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	           app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	           app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	             app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	               app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	               aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
9.52/9.72	         app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	           huffma675207370phabet(a), t_1))
9.52/9.72	        = fTrue),
9.52/9.72	    inference('sup-', [status(thm)], ['12', '15'])).
9.52/9.72	tff('17', plain,
9.52/9.72	    app_encode_app(fun(a, bool), bool, 
9.52/9.72	      app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	        app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	        app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	          app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	            app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	            aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
9.52/9.72	      app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	        huffma675207370phabet(a), t_1))
9.52/9.72	     = fTrue,
9.52/9.72	    inference('simplify', [status(thm)], ['16'])).
9.52/9.72	tff(zf_stmt_207, axiom,
9.52/9.72	  (![A:$tType,C:$tType,B1:$tType,R:A,Q:B1,P:fun(A,fun(B1,C))]:
9.52/9.72	     (app_encode_app(A,C,
9.52/9.72	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
9.52/9.72	                                    app_encode_app(B1,fun(A,C),
9.52/9.72	                                                   app_encode_app(fun(
9.52/9.72	                                                                  A,fun(B1,C)),
9.52/9.72	                                                                  app_encode_fun(
9.52/9.72	                                                                  B1,
9.52/9.72	                                                                  fun(A,C)),
9.52/9.72	                                                                  combc(
9.52/9.72	                                                                  A,B1,C),P),
9.52/9.72	                                                   Q)),
9.52/9.72	                     R) =
9.52/9.72	      app_encode_app(B1,C,
9.52/9.72	                     app_encode_app(fun(B1,C),app_encode_fun(B1,C),aa(B1,C),
9.52/9.72	                                    app_encode_app(A,fun(B1,C),
9.52/9.72	                                                   app_encode_app(fun(
9.52/9.72	                                                                  A,fun(B1,C)),
9.52/9.72	                                                                  app_encode_fun(
9.52/9.72	                                                                  A,fun(B1,C)),
9.52/9.72	                                                                  aa(
9.52/9.72	                                                                  A,fun(B1,C)),
9.52/9.72	                                                                  P),
9.52/9.72	                                                   R)),
9.52/9.72	                     Q)))).
9.52/9.72	tff('18', plain,
9.52/9.72	    ![X388 : $tType, X389 : $tType, X390 : $tType, 
9.52/9.72	      X391 : fun(X390, fun(X388, X389)), X392 : X390, X393 : X388]:
9.52/9.72	      app_encode_app(X390, X389, 
9.52/9.72	        app_encode_app(fun(X390, X389), app_encode_fun(X390, X389), 
9.52/9.72	          aa(X390, X389), 
9.52/9.72	          app_encode_app(X388, fun(X390, X389), 
9.52/9.72	            app_encode_app(fun(X390, fun(X388, X389)), 
9.52/9.72	              app_encode_fun(X388, fun(X390, X389)), 
9.52/9.72	              combc(X390, X388, X389), X391), X393)), X392)
9.52/9.72	       = app_encode_app(X388, X389, 
9.52/9.72	           app_encode_app(fun(X388, X389), app_encode_fun(X388, X389), 
9.52/9.72	             aa(X388, X389), 
9.52/9.72	             app_encode_app(X390, fun(X388, X389), 
9.52/9.72	               app_encode_app(fun(X390, fun(X388, X389)), 
9.52/9.72	                 app_encode_fun(X390, fun(X388, X389)), 
9.52/9.72	                 aa(X390, fun(X388, X389)), X391), X392)), X393),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_207])).
9.52/9.72	tff('19', plain,
9.52/9.72	    app_encode_app(a, bool, 
9.52/9.72	      app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
9.52/9.72	        app_encode_app(fun(a, bool), fun(a, bool), 
9.52/9.72	          app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	            app_encode_fun(fun(a, bool), fun(a, bool)), 
9.52/9.72	            combc(a, fun(a, bool), bool), member(a)), 
9.52/9.72	          app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	            huffma675207370phabet(a), t_1))), sk_X31)
9.52/9.72	     = fTrue,
9.52/9.72	    inference('demod', [status(thm)], ['17', '18'])).
9.52/9.72	tff('20', plain,
9.52/9.72	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
9.52/9.72	    inference('sup+', [status(thm)], ['13', '0'])).
9.52/9.72	tff('21', plain,
9.52/9.72	    (app_encode_app(a, nat, 
9.52/9.72	       app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
9.52/9.72	         huffma410068972_depth(a), t_1), sk_X31)
9.52/9.72	      = app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	          huffma945805758height(a), t_1)
9.52/9.72	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
9.52/9.72	           huffma1518433673istent(a), t_1)),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_60])).
9.52/9.72	tff(zf_stmt_218, axiom,
9.52/9.72	  (![B:a]:
9.52/9.72	     (app_encode_app(bool,$o,pp,
9.52/9.72	                     app_encode_app(fun(a,bool),bool,
9.52/9.72	                                    app_encode_app(fun(fun(a,bool),bool),
9.52/9.72	                                                   app_encode_fun(fun(a,bool),
9.52/9.72	                                                                  bool),
9.52/9.72	                                                   aa(fun(a,bool),bool),
9.52/9.72	                                                   app_encode_app(a,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(a,bool),
9.52/9.72	                                                                  bool),
9.52/9.72	                                                                  app_encode_app(
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  a,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(a,bool),
9.52/9.72	                                                                  bool)),
9.52/9.72	                                                                  app_encode_fun(
9.52/9.72	                                                                  a,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(a,bool),
9.52/9.72	                                                                  bool)),
9.52/9.72	                                                                  aa(
9.52/9.72	                                                                  a,
9.52/9.72	                                                                  fun(
9.52/9.72	                                                                  fun(a,bool),
9.52/9.72	                                                                  bool)),
9.52/9.72	                                                                  member(a)),
9.52/9.72	                                                                  B)),
9.52/9.72	                                    app_encode_app(huffma1450048681e_tree(a),
9.52/9.72	                                                   fun(a,bool),
9.52/9.72	                                                   huffma675207370phabet(a),
9.52/9.72	                                                   t_1))) =>
9.52/9.72	      ((app_encode_app(a,nat,
9.52/9.72	                       app_encode_app(huffma1450048681e_tree(a),
9.52/9.72	                                      app_encode_fun(a,nat),
9.52/9.72	                                      huffma410068972_depth(a),t_1),
9.52/9.72	                       B) =
9.52/9.72	        app_encode_app(huffma1450048681e_tree(a),nat,
9.52/9.72	                       huffma945805758height(a),t_1)) =>
9.52/9.72	       thesis)))).
9.52/9.72	tff('22', plain,
9.52/9.72	    ![X417 : a]:
9.52/9.72	      (thesis
9.52/9.72	       | ~ app_encode_app(bool, $o, pp, 
9.52/9.72	             app_encode_app(fun(a, bool), bool, 
9.52/9.72	               app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	                 app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	                 app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	                   app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                     app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                     aa(a, fun(fun(a, bool), bool)), member(a)), X417)), 
9.52/9.72	               app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	                 huffma675207370phabet(a), t_1)))
9.52/9.72	       | app_encode_app(a, nat, 
9.52/9.72	           app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
9.52/9.72	             huffma410068972_depth(a), t_1), X417)
9.52/9.72	          != app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	               huffma945805758height(a), t_1)),
9.52/9.72	    inference('cnf', [status(esa)], [zf_stmt_218])).
9.52/9.72	tff(zf_stmt_219, conjecture, (thesis)).
9.52/9.72	tff(zf_stmt_0, negated_conjecture, (~thesis)).
9.52/9.72	tff('23', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
9.52/9.72	tff('24', plain,
9.52/9.72	    ![X417 : a]:
9.52/9.72	      (app_encode_app(a, nat, 
9.52/9.72	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
9.52/9.72	           huffma410068972_depth(a), t_1), X417)
9.52/9.72	        != app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	             huffma945805758height(a), t_1)
9.52/9.72	       | ~ app_encode_app(bool, $o, pp, 
9.52/9.72	             app_encode_app(fun(a, bool), bool, 
9.52/9.72	               app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	                 app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	                 app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	                   app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                     app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                     aa(a, fun(fun(a, bool), bool)), member(a)), X417)), 
9.52/9.72	               app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	                 huffma675207370phabet(a), t_1)))),
9.52/9.72	    inference('clc', [status(thm)], ['22', '23'])).
9.52/9.72	tff('25', plain,
9.52/9.72	    (app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	       huffma945805758height(a), t_1)
9.52/9.72	      != app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	           huffma945805758height(a), t_1)
9.52/9.72	     | ~ app_encode_app(huffma1450048681e_tree(a), $o, 
9.52/9.72	           huffma1518433673istent(a), t_1)
9.52/9.72	     | ~ app_encode_app(bool, $o, pp, 
9.52/9.72	           app_encode_app(fun(a, bool), bool, 
9.52/9.72	             app_encode_app(fun(fun(a, bool), bool), 
9.52/9.72	               app_encode_fun(fun(a, bool), bool), aa(fun(a, bool), bool), 
9.52/9.72	               app_encode_app(a, fun(fun(a, bool), bool), 
9.52/9.72	                 app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                   app_encode_fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                   aa(a, fun(fun(a, bool), bool)), member(a)), sk_X31)), 
9.52/9.72	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	               huffma675207370phabet(a), t_1)))),
9.52/9.72	    inference('sup-', [status(thm)], ['21', '24'])).
9.52/9.72	tff('26', plain,
9.52/9.72	    (app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	       huffma945805758height(a), t_1)
9.52/9.72	      != app_encode_app(huffma1450048681e_tree(a), nat, 
9.52/9.72	           huffma945805758height(a), t_1)
9.52/9.72	     | ~ $true
9.52/9.72	     | ~ app_encode_app(bool, $o, pp, 
9.52/9.72	           app_encode_app(a, bool, 
9.52/9.72	             app_encode_app(fun(a, bool), app_encode_fun(a, bool), 
9.52/9.72	               aa(a, bool), 
9.52/9.72	               app_encode_app(fun(a, bool), fun(a, bool), 
9.52/9.72	                 app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                   app_encode_fun(fun(a, bool), fun(a, bool)), 
9.52/9.72	                   combc(a, fun(a, bool), bool), member(a)), 
9.52/9.72	                 app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	                   huffma675207370phabet(a), t_1))), sk_X31))),
9.52/9.72	    inference('demod', [status(thm)], ['25', '7', '18'])).
9.52/9.72	tff('27', plain,
9.52/9.72	    ~ app_encode_app(bool, $o, pp, 
9.52/9.72	        app_encode_app(a, bool, 
9.52/9.72	          app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
9.52/9.72	            app_encode_app(fun(a, bool), fun(a, bool), 
9.52/9.72	              app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	                app_encode_fun(fun(a, bool), fun(a, bool)), 
9.52/9.72	                combc(a, fun(a, bool), bool), member(a)), 
9.52/9.72	              app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	                huffma675207370phabet(a), t_1))), sk_X31)),
9.52/9.72	    inference('simplify', [status(thm)], ['26'])).
9.52/9.72	tff('28', plain,
9.52/9.72	    (~ $true
9.52/9.72	     | app_encode_app(a, bool, 
9.52/9.72	         app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
9.52/9.72	           app_encode_app(fun(a, bool), fun(a, bool), 
9.52/9.72	             app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	               app_encode_fun(fun(a, bool), fun(a, bool)), 
9.52/9.72	               combc(a, fun(a, bool), bool), member(a)), 
9.52/9.72	             app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	               huffma675207370phabet(a), t_1))), sk_X31)
9.52/9.72	        = fFalse),
9.52/9.72	    inference('sup-', [status(thm)], ['20', '27'])).
9.52/9.72	tff('29', plain,
9.52/9.72	    app_encode_app(a, bool, 
9.52/9.72	      app_encode_app(fun(a, bool), app_encode_fun(a, bool), aa(a, bool), 
9.52/9.72	        app_encode_app(fun(a, bool), fun(a, bool), 
9.52/9.72	          app_encode_app(fun(a, fun(fun(a, bool), bool)), 
9.52/9.72	            app_encode_fun(fun(a, bool), fun(a, bool)), 
9.52/9.72	            combc(a, fun(a, bool), bool), member(a)), 
9.52/9.72	          app_encode_app(huffma1450048681e_tree(a), fun(a, bool), 
9.52/9.72	            huffma675207370phabet(a), t_1))), sk_X31)
9.52/9.72	     = fFalse,
9.52/9.72	    inference('simplify', [status(thm)], ['28'])).
9.52/9.72	tff('30', plain, fTrue = fFalse,
9.52/9.72	    inference('sup+', [status(thm)], ['19', '29'])).
9.52/9.72	tff('31', plain, app_encode_app(bool, $o, pp, fFalse),
9.52/9.72	    inference('demod', [status(thm)], ['0', '30'])).
9.52/9.72	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['31', '14'])).
9.52/9.72	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
9.52/9.72	
9.52/9.72	% SZS output end Refutation
9.52/9.73	EOF
