0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n081.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:08:23 CST 2018
5.04/5.26	% done 1207 iterations in 5.054s
5.04/5.26	% SZS status Theorem for 'stdin'
5.04/5.26	% SZS output start Refutation
5.04/5.26	tff(zf_stmt_178, axiom,
5.04/5.26	  ((app_encode_app(a,nat,
5.04/5.26	                   app_encode_app(huffma1450048681e_tree(a),
5.04/5.26	                                  app_encode_fun(a,nat),
5.04/5.26	                                  huffma410068972_depth(a),t_2),
5.04/5.26	                   a1) =
5.04/5.26	    app_encode_app(huffma1450048681e_tree(a),nat,huffma945805758height(a),t_2)) =>
5.04/5.26	   (app_encode_app(nat,$o,
5.04/5.26	                   app_encode_app(nat,app_encode_fun(nat,$o),
5.04/5.26	                                  ord_less_eq(nat),
5.04/5.26	                                  app_encode_app(huffma1450048681e_tree(b),
5.04/5.26	                                                 nat,
5.04/5.26	                                                 huffma945805758height(b),t_1)),
5.04/5.26	                   app_encode_app(huffma1450048681e_tree(a),nat,
5.04/5.26	                                  huffma945805758height(a),t_2)) =>
5.04/5.26	    p))).
5.04/5.26	tff('0', plain,
5.04/5.26	    (~ app_encode_app(nat, $o, 
5.04/5.26	         app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	           app_encode_app(huffma1450048681e_tree(b), nat, 
5.04/5.26	             huffma945805758height(b), t_1)), 
5.04/5.26	         app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	           huffma945805758height(a), t_2))
5.04/5.26	     | p
5.04/5.26	     | app_encode_app(a, nat, 
5.04/5.26	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	           huffma410068972_depth(a), t_2), a1)
5.04/5.26	        != app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	             huffma945805758height(a), t_2)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_178])).
5.04/5.26	tff(zf_stmt_177, axiom,
5.04/5.26	  (app_encode_app(a,nat,
5.04/5.26	                  app_encode_app(huffma1450048681e_tree(a),
5.04/5.26	                                 app_encode_fun(a,nat),
5.04/5.26	                                 huffma410068972_depth(a),t_2),
5.04/5.26	                  a1) =
5.04/5.26	   app_encode_app(nat,nat,
5.04/5.26	                  app_encode_app(nat,app_encode_fun(nat,nat),ord_max(nat),
5.04/5.26	                                 app_encode_app(huffma1450048681e_tree(b),
5.04/5.26	                                                nat,huffma945805758height(b),
5.04/5.26	                                                t_1)),
5.04/5.26	                  app_encode_app(huffma1450048681e_tree(a),nat,
5.04/5.26	                                 huffma945805758height(a),t_2)))).
5.04/5.26	tff('1', plain,
5.04/5.26	    app_encode_app(a, nat, 
5.04/5.26	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	        huffma410068972_depth(a), t_2), a1)
5.04/5.26	     = app_encode_app(nat, nat, 
5.04/5.26	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), 
5.04/5.26	           app_encode_app(huffma1450048681e_tree(b), nat, 
5.04/5.26	             huffma945805758height(b), t_1)), 
5.04/5.26	         app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	           huffma945805758height(a), t_2)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_177])).
5.04/5.26	tff(zf_stmt_164, axiom, (linorder(nat))).
5.04/5.26	tff('2', plain, linorder(nat), inference('cnf', [status(esa)], [zf_stmt_164])).
5.04/5.26	tff(zf_stmt_78, axiom,
5.04/5.26	  (![A:$tType]:
5.04/5.26	     (linorder(A) =>
5.04/5.26	      (![Y:A,X:A]:
5.04/5.26	         (app_encode_app(A,A,
5.04/5.26	                         app_encode_app(A,app_encode_fun(A,A),ord_max(A),X),Y) =
5.04/5.26	          app_encode_app(A,A,
5.04/5.26	                         app_encode_app(A,app_encode_fun(A,A),ord_max(A),Y),X)))))).
5.04/5.26	tff('3', plain,
5.04/5.26	    ![X117 : $tType, X118 : X117, X119 : X117]:
5.04/5.26	      (app_encode_app(X117, X117, 
5.04/5.26	         app_encode_app(X117, app_encode_fun(X117, X117), ord_max(X117), 
5.04/5.26	           X119), X118)
5.04/5.26	        = app_encode_app(X117, X117, 
5.04/5.26	            app_encode_app(X117, app_encode_fun(X117, X117), ord_max(X117), 
5.04/5.26	              X118), X119)
5.04/5.26	       | ~ linorder(X117)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_78])).
5.04/5.26	tff('4', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      (~ $true
5.04/5.26	       | app_encode_app(nat, nat, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	           X0)
5.04/5.26	          = app_encode_app(nat, nat, 
5.04/5.26	              app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
5.04/5.26	              X1)),
5.04/5.26	    inference('sup-', [status(thm)], ['2', '3'])).
5.04/5.26	tff('5', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      app_encode_app(nat, nat, 
5.04/5.26	        app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), X0)
5.04/5.26	       = app_encode_app(nat, nat, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
5.04/5.26	           X1),
5.04/5.26	    inference('simplify', [status(thm)], ['4'])).
5.04/5.26	tff('6', plain,
5.04/5.26	    app_encode_app(a, nat, 
5.04/5.26	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	        huffma410068972_depth(a), t_2), a1)
5.04/5.26	     = app_encode_app(nat, nat, 
5.04/5.26	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), 
5.04/5.26	           app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	             huffma945805758height(a), t_2)), 
5.04/5.26	         app_encode_app(huffma1450048681e_tree(b), nat, 
5.04/5.26	           huffma945805758height(b), t_1)),
5.04/5.26	    inference('demod', [status(thm)], ['1', '5'])).
5.04/5.26	tff(zf_stmt_94, axiom,
5.04/5.26	  (![N:nat]:
5.04/5.26	     app_encode_app(nat,$o,
5.04/5.26	                    app_encode_app(nat,app_encode_fun(nat,$o),
5.04/5.26	                                   ord_less_eq(nat),N),
5.04/5.26	                    N))).
5.04/5.26	tff('7', plain,
5.04/5.26	    ![X180 : nat]:
5.04/5.26	      app_encode_app(nat, $o, 
5.04/5.26	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X180), 
5.04/5.26	        X180),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_94])).
5.04/5.26	tff(zf_stmt_50, axiom,
5.04/5.26	  (![C:$tType]:
5.04/5.26	     (linorder(C) =>
5.04/5.26	      (![Z:C,Y1:C,X1:C]:
5.04/5.26	         (app_encode_app(C,$o,
5.04/5.26	                         app_encode_app(C,app_encode_fun(C,$o),
5.04/5.26	                                        ord_less_eq(C),
5.04/5.26	                                        app_encode_app(C,C,
5.04/5.26	                                                       app_encode_app(
5.04/5.26	                                                       C,app_encode_fun(C,C),
5.04/5.26	                                                       ord_max(C),X1),Y1)),
5.04/5.26	                         Z) <=>
5.04/5.26	          (app_encode_app(C,$o,
5.04/5.26	                          app_encode_app(C,app_encode_fun(C,$o),
5.04/5.26	                                         ord_less_eq(C),X1),
5.04/5.26	                          Z) & 
5.04/5.26	           app_encode_app(C,$o,
5.04/5.26	                          app_encode_app(C,app_encode_fun(C,$o),
5.04/5.26	                                         ord_less_eq(C),Y1),
5.04/5.26	                          Z))))))).
5.04/5.26	tff('8', plain,
5.04/5.26	    ![X12 : $tType, X14 : X12, X15 : X12, X16 : X12]:
5.04/5.26	      (~ app_encode_app(X12, $o, 
5.04/5.26	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
5.04/5.26	             app_encode_app(X12, X12, 
5.04/5.26	               app_encode_app(X12, app_encode_fun(X12, X12), ord_max(X12), 
5.04/5.26	                 X16), X15)), X14)
5.04/5.26	       | app_encode_app(X12, $o, 
5.04/5.26	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
5.04/5.26	             X15), X14)
5.04/5.26	       | ~ linorder(X12)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_50])).
5.04/5.26	tff('9', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      (~ $true
5.04/5.26	       | ~ linorder(nat)
5.04/5.26	       | app_encode_app(nat, $o, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
5.04/5.26	           app_encode_app(nat, nat, 
5.04/5.26	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	             X0))),
5.04/5.26	    inference('sup-', [status(thm)], ['7', '8'])).
5.04/5.26	tff('10', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      (~ $true
5.04/5.26	       | ~ $true
5.04/5.26	       | app_encode_app(nat, $o, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
5.04/5.26	           app_encode_app(nat, nat, 
5.04/5.26	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	             X0))),
5.04/5.26	    inference('demod', [status(thm)], ['9', '2'])).
5.04/5.26	tff('11', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      app_encode_app(nat, $o, 
5.04/5.26	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
5.04/5.26	        app_encode_app(nat, nat, 
5.04/5.26	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	          X0)),
5.04/5.26	    inference('simplify', [status(thm)], ['10'])).
5.04/5.26	tff('12', plain,
5.04/5.26	    app_encode_app(nat, $o, 
5.04/5.26	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	        app_encode_app(huffma1450048681e_tree(b), nat, 
5.04/5.26	          huffma945805758height(b), t_1)), 
5.04/5.26	      app_encode_app(a, nat, 
5.04/5.26	        app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	          huffma410068972_depth(a), t_2), a1)),
5.04/5.26	    inference('sup+', [status(thm)], ['6', '11'])).
5.04/5.26	tff('13', plain,
5.04/5.26	    ![X12 : $tType, X14 : X12, X15 : X12, X16 : X12]:
5.04/5.26	      (~ app_encode_app(X12, $o, 
5.04/5.26	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
5.04/5.26	             app_encode_app(X12, X12, 
5.04/5.26	               app_encode_app(X12, app_encode_fun(X12, X12), ord_max(X12), 
5.04/5.26	                 X16), X15)), X14)
5.04/5.26	       | app_encode_app(X12, $o, 
5.04/5.26	           app_encode_app(X12, app_encode_fun(X12, $o), ord_less_eq(X12), 
5.04/5.26	             X16), X14)
5.04/5.26	       | ~ linorder(X12)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_50])).
5.04/5.26	tff('14', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      (~ $true
5.04/5.26	       | ~ linorder(nat)
5.04/5.26	       | app_encode_app(nat, $o, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
5.04/5.26	           app_encode_app(nat, nat, 
5.04/5.26	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	             X0))),
5.04/5.26	    inference('sup-', [status(thm)], ['7', '13'])).
5.04/5.26	tff('15', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      (~ $true
5.04/5.26	       | ~ $true
5.04/5.26	       | app_encode_app(nat, $o, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
5.04/5.26	           app_encode_app(nat, nat, 
5.04/5.26	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	             X0))),
5.04/5.26	    inference('demod', [status(thm)], ['14', '2'])).
5.04/5.26	tff('16', plain,
5.04/5.26	    ![X0 : nat, X1 : nat]:
5.04/5.26	      app_encode_app(nat, $o, 
5.04/5.26	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
5.04/5.26	        app_encode_app(nat, nat, 
5.04/5.26	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
5.04/5.26	          X0)),
5.04/5.26	    inference('simplify', [status(thm)], ['15'])).
5.04/5.26	tff('17', plain,
5.04/5.26	    app_encode_app(nat, $o, 
5.04/5.26	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	        app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	          huffma945805758height(a), t_2)), 
5.04/5.26	      app_encode_app(a, nat, 
5.04/5.26	        app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	          huffma410068972_depth(a), t_2), a1)),
5.04/5.26	    inference('sup+', [status(thm)], ['6', '16'])).
5.04/5.26	tff(zf_stmt_93, axiom,
5.04/5.26	  (![N:nat,M:nat]:
5.04/5.26	     (app_encode_app(nat,$o,
5.04/5.26	                     app_encode_app(nat,app_encode_fun(nat,$o),
5.04/5.26	                                    ord_less_eq(nat),M),
5.04/5.26	                     N) =>
5.04/5.26	      (app_encode_app(nat,$o,
5.04/5.26	                      app_encode_app(nat,app_encode_fun(nat,$o),
5.04/5.26	                                     ord_less_eq(nat),N),
5.04/5.26	                      M) =>
5.04/5.26	       (M = N))))).
5.04/5.26	tff('18', plain,
5.04/5.26	    ![X178 : nat, X179 : nat]:
5.04/5.26	      (~ app_encode_app(nat, $o, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	             X178), X179)
5.04/5.26	       | X179 = X178
5.04/5.26	       | ~ app_encode_app(nat, $o, 
5.04/5.26	             app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	               X179), X178)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_93])).
5.04/5.26	tff('19', plain,
5.04/5.26	    (~ $true
5.04/5.26	     | ~ app_encode_app(nat, $o, 
5.04/5.26	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	             app_encode_app(a, nat, 
5.04/5.26	               app_encode_app(huffma1450048681e_tree(a), 
5.04/5.26	                 app_encode_fun(a, nat), huffma410068972_depth(a), t_2), a1)), 
5.04/5.26	           app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	             huffma945805758height(a), t_2))
5.04/5.26	     | app_encode_app(a, nat, 
5.04/5.26	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	           huffma410068972_depth(a), t_2), a1)
5.04/5.26	        = app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	            huffma945805758height(a), t_2)),
5.04/5.26	    inference('sup-', [status(thm)], ['17', '18'])).
5.04/5.26	tff(zf_stmt_49, axiom,
5.04/5.26	  (![A:$tType,A3:A,T:huffma1450048681e_tree(A)]:
5.04/5.26	     app_encode_app(nat,$o,
5.04/5.26	                    app_encode_app(nat,app_encode_fun(nat,$o),
5.04/5.26	                                   ord_less_eq(nat),
5.04/5.26	                                   app_encode_app(A,nat,
5.04/5.26	                                                  app_encode_app(huffma1450048681e_tree(
5.04/5.26	                                                                 A),
5.04/5.26	                                                                 app_encode_fun(
5.04/5.26	                                                                 A,nat),
5.04/5.26	                                                                 huffma410068972_depth(
5.04/5.26	                                                                 A),T),
5.04/5.26	                                                  A3)),
5.04/5.26	                    app_encode_app(huffma1450048681e_tree(A),nat,
5.04/5.26	                                   huffma945805758height(A),T)))).
5.04/5.26	tff('20', plain,
5.04/5.26	    ![X9 : $tType, X10 : huffma1450048681e_tree(X9), X11 : X9]:
5.04/5.26	      app_encode_app(nat, $o, 
5.04/5.26	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	          app_encode_app(X9, nat, 
5.04/5.26	            app_encode_app(huffma1450048681e_tree(X9), 
5.04/5.26	              app_encode_fun(X9, nat), huffma410068972_depth(X9), X10), X11)), 
5.04/5.26	        app_encode_app(huffma1450048681e_tree(X9), nat, 
5.04/5.26	          huffma945805758height(X9), X10)),
5.04/5.26	    inference('cnf', [status(esa)], [zf_stmt_49])).
5.04/5.26	tff('21', plain,
5.04/5.26	    (~ $true
5.04/5.26	     | ~ $true
5.04/5.26	     | app_encode_app(a, nat, 
5.04/5.26	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	           huffma410068972_depth(a), t_2), a1)
5.04/5.26	        = app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	            huffma945805758height(a), t_2)),
5.04/5.26	    inference('demod', [status(thm)], ['19', '20'])).
5.04/5.26	tff('22', plain,
5.04/5.26	    app_encode_app(a, nat, 
5.04/5.26	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
5.04/5.26	        huffma410068972_depth(a), t_2), a1)
5.04/5.26	     = app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	         huffma945805758height(a), t_2),
5.04/5.26	    inference('simplify', [status(thm)], ['21'])).
5.04/5.26	tff('23', plain,
5.04/5.26	    app_encode_app(nat, $o, 
5.04/5.26	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
5.04/5.26	        app_encode_app(huffma1450048681e_tree(b), nat, 
5.04/5.26	          huffma945805758height(b), t_1)), 
5.04/5.26	      app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	        huffma945805758height(a), t_2)),
5.04/5.26	    inference('demod', [status(thm)], ['12', '22'])).
5.04/5.26	tff('24', plain,
5.04/5.26	    (~ $true
5.04/5.26	     | p
5.04/5.26	     | app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	         huffma945805758height(a), t_2)
5.04/5.26	        != app_encode_app(huffma1450048681e_tree(a), nat, 
5.04/5.26	             huffma945805758height(a), t_2)),
5.04/5.26	    inference('demod', [status(thm)], ['0', '23', '22'])).
5.04/5.26	tff('25', plain, p, inference('simplify', [status(thm)], ['24'])).
5.04/5.26	tff(zf_stmt_179, conjecture, (p)).
5.04/5.26	tff(zf_stmt_0, negated_conjecture, (~p)).
5.04/5.26	tff('26', plain, ~ p, inference('cnf', [status(esa)], [zf_stmt_0])).
5.04/5.26	tff('27', plain, ~ $true, inference('sup-', [status(thm)], ['25', '26'])).
5.04/5.26	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
5.04/5.26	
5.04/5.26	% SZS output end Refutation
5.04/5.26	EOF
