0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n091.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 10:08:23 CST 2018
4.96/5.16	% done 1200 iterations in 4.963s
4.96/5.16	% SZS status Theorem for 'stdin'
4.96/5.16	% SZS output start Refutation
4.96/5.16	tff(zf_stmt_177, axiom,
4.96/5.16	  ((app_encode_app(a,nat,
4.96/5.16	                   app_encode_app(huffma1450048681e_tree(a),
4.96/5.16	                                  app_encode_fun(a,nat),
4.96/5.16	                                  huffma410068972_depth(a),t_2),
4.96/5.16	                   a1) =
4.96/5.16	    app_encode_app(huffma1450048681e_tree(a),nat,huffma945805758height(a),t_2)) =>
4.96/5.16	   (app_encode_app(nat,$o,
4.96/5.16	                   app_encode_app(nat,app_encode_fun(nat,$o),
4.96/5.16	                                  ord_less_eq(nat),
4.96/5.16	                                  app_encode_app(huffma1450048681e_tree(b),
4.96/5.16	                                                 nat,
4.96/5.16	                                                 huffma945805758height(b),t_1)),
4.96/5.16	                   app_encode_app(huffma1450048681e_tree(a),nat,
4.96/5.16	                                  huffma945805758height(a),t_2)) =>
4.96/5.16	    p))).
4.96/5.16	tff('0', plain,
4.96/5.16	    (~ app_encode_app(nat, $o, 
4.96/5.16	         app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	           app_encode_app(huffma1450048681e_tree(b), nat, 
4.96/5.16	             huffma945805758height(b), t_1)), 
4.96/5.16	         app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	           huffma945805758height(a), t_2))
4.96/5.16	     | p
4.96/5.16	     | app_encode_app(a, nat, 
4.96/5.16	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	           huffma410068972_depth(a), t_2), a1)
4.96/5.16	        != app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	             huffma945805758height(a), t_2)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_177])).
4.96/5.16	tff(zf_stmt_176, axiom,
4.96/5.16	  (app_encode_app(a,nat,
4.96/5.16	                  app_encode_app(huffma1450048681e_tree(a),
4.96/5.16	                                 app_encode_fun(a,nat),
4.96/5.16	                                 huffma410068972_depth(a),t_2),
4.96/5.16	                  a1) =
4.96/5.16	   app_encode_app(nat,nat,
4.96/5.16	                  app_encode_app(nat,app_encode_fun(nat,nat),ord_max(nat),
4.96/5.16	                                 app_encode_app(huffma1450048681e_tree(b),
4.96/5.16	                                                nat,huffma945805758height(b),
4.96/5.16	                                                t_1)),
4.96/5.16	                  app_encode_app(huffma1450048681e_tree(a),nat,
4.96/5.16	                                 huffma945805758height(a),t_2)))).
4.96/5.16	tff('1', plain,
4.96/5.16	    app_encode_app(a, nat, 
4.96/5.16	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	        huffma410068972_depth(a), t_2), a1)
4.96/5.16	     = app_encode_app(nat, nat, 
4.96/5.16	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), 
4.96/5.16	           app_encode_app(huffma1450048681e_tree(b), nat, 
4.96/5.16	             huffma945805758height(b), t_1)), 
4.96/5.16	         app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	           huffma945805758height(a), t_2)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_176])).
4.96/5.16	tff(zf_stmt_163, axiom, (linorder(nat))).
4.96/5.16	tff('2', plain, linorder(nat), inference('cnf', [status(esa)], [zf_stmt_163])).
4.96/5.16	tff(zf_stmt_77, axiom,
4.96/5.16	  (![A:$tType]:
4.96/5.16	     (linorder(A) =>
4.96/5.16	      (![Y:A,X:A]:
4.96/5.16	         (app_encode_app(A,A,
4.96/5.16	                         app_encode_app(A,app_encode_fun(A,A),ord_max(A),X),Y) =
4.96/5.16	          app_encode_app(A,A,
4.96/5.16	                         app_encode_app(A,app_encode_fun(A,A),ord_max(A),Y),X)))))).
4.96/5.16	tff('3', plain,
4.96/5.16	    ![X113 : $tType, X114 : X113, X115 : X113]:
4.96/5.16	      (app_encode_app(X113, X113, 
4.96/5.16	         app_encode_app(X113, app_encode_fun(X113, X113), ord_max(X113), 
4.96/5.16	           X115), X114)
4.96/5.16	        = app_encode_app(X113, X113, 
4.96/5.16	            app_encode_app(X113, app_encode_fun(X113, X113), ord_max(X113), 
4.96/5.16	              X114), X115)
4.96/5.16	       | ~ linorder(X113)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_77])).
4.96/5.16	tff('4', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      (~ $true
4.96/5.16	       | app_encode_app(nat, nat, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	           X0)
4.96/5.16	          = app_encode_app(nat, nat, 
4.96/5.16	              app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
4.96/5.16	              X1)),
4.96/5.16	    inference('sup-', [status(thm)], ['2', '3'])).
4.96/5.16	tff('5', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      app_encode_app(nat, nat, 
4.96/5.16	        app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), X0)
4.96/5.16	       = app_encode_app(nat, nat, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X0), 
4.96/5.16	           X1),
4.96/5.16	    inference('simplify', [status(thm)], ['4'])).
4.96/5.16	tff('6', plain,
4.96/5.16	    app_encode_app(a, nat, 
4.96/5.16	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	        huffma410068972_depth(a), t_2), a1)
4.96/5.16	     = app_encode_app(nat, nat, 
4.96/5.16	         app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), 
4.96/5.16	           app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	             huffma945805758height(a), t_2)), 
4.96/5.16	         app_encode_app(huffma1450048681e_tree(b), nat, 
4.96/5.16	           huffma945805758height(b), t_1)),
4.96/5.16	    inference('demod', [status(thm)], ['1', '5'])).
4.96/5.16	tff(zf_stmt_93, axiom,
4.96/5.16	  (![N:nat]:
4.96/5.16	     app_encode_app(nat,$o,
4.96/5.16	                    app_encode_app(nat,app_encode_fun(nat,$o),
4.96/5.16	                                   ord_less_eq(nat),N),
4.96/5.16	                    N))).
4.96/5.16	tff('7', plain,
4.96/5.16	    ![X176 : nat]:
4.96/5.16	      app_encode_app(nat, $o, 
4.96/5.16	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X176), 
4.96/5.16	        X176),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_93])).
4.96/5.16	tff(zf_stmt_49, axiom,
4.96/5.16	  (![C:$tType]:
4.96/5.16	     (linorder(C) =>
4.96/5.16	      (![Z:C,Y1:C,X1:C]:
4.96/5.16	         (app_encode_app(C,$o,
4.96/5.16	                         app_encode_app(C,app_encode_fun(C,$o),
4.96/5.16	                                        ord_less_eq(C),
4.96/5.16	                                        app_encode_app(C,C,
4.96/5.16	                                                       app_encode_app(
4.96/5.16	                                                       C,app_encode_fun(C,C),
4.96/5.16	                                                       ord_max(C),X1),Y1)),
4.96/5.16	                         Z) <=>
4.96/5.16	          (app_encode_app(C,$o,
4.96/5.16	                          app_encode_app(C,app_encode_fun(C,$o),
4.96/5.16	                                         ord_less_eq(C),X1),
4.96/5.16	                          Z) & 
4.96/5.16	           app_encode_app(C,$o,
4.96/5.16	                          app_encode_app(C,app_encode_fun(C,$o),
4.96/5.16	                                         ord_less_eq(C),Y1),
4.96/5.16	                          Z))))))).
4.96/5.16	tff('8', plain,
4.96/5.16	    ![X8 : $tType, X10 : X8, X11 : X8, X12 : X8]:
4.96/5.16	      (~ app_encode_app(X8, $o, 
4.96/5.16	           app_encode_app(X8, app_encode_fun(X8, $o), ord_less_eq(X8), 
4.96/5.16	             app_encode_app(X8, X8, 
4.96/5.16	               app_encode_app(X8, app_encode_fun(X8, X8), ord_max(X8), X12), 
4.96/5.16	               X11)), X10)
4.96/5.16	       | app_encode_app(X8, $o, 
4.96/5.16	           app_encode_app(X8, app_encode_fun(X8, $o), ord_less_eq(X8), X11), 
4.96/5.16	           X10)
4.96/5.16	       | ~ linorder(X8)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_49])).
4.96/5.16	tff('9', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      (~ $true
4.96/5.16	       | ~ linorder(nat)
4.96/5.16	       | app_encode_app(nat, $o, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
4.96/5.16	           app_encode_app(nat, nat, 
4.96/5.16	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	             X0))),
4.96/5.16	    inference('sup-', [status(thm)], ['7', '8'])).
4.96/5.16	tff('10', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      (~ $true
4.96/5.16	       | ~ $true
4.96/5.16	       | app_encode_app(nat, $o, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
4.96/5.16	           app_encode_app(nat, nat, 
4.96/5.16	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	             X0))),
4.96/5.16	    inference('demod', [status(thm)], ['9', '2'])).
4.96/5.16	tff('11', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      app_encode_app(nat, $o, 
4.96/5.16	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X0), 
4.96/5.16	        app_encode_app(nat, nat, 
4.96/5.16	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	          X0)),
4.96/5.16	    inference('simplify', [status(thm)], ['10'])).
4.96/5.16	tff('12', plain,
4.96/5.16	    app_encode_app(nat, $o, 
4.96/5.16	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	        app_encode_app(huffma1450048681e_tree(b), nat, 
4.96/5.16	          huffma945805758height(b), t_1)), 
4.96/5.16	      app_encode_app(a, nat, 
4.96/5.16	        app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	          huffma410068972_depth(a), t_2), a1)),
4.96/5.16	    inference('sup+', [status(thm)], ['6', '11'])).
4.96/5.16	tff('13', plain,
4.96/5.16	    ![X8 : $tType, X10 : X8, X11 : X8, X12 : X8]:
4.96/5.16	      (~ app_encode_app(X8, $o, 
4.96/5.16	           app_encode_app(X8, app_encode_fun(X8, $o), ord_less_eq(X8), 
4.96/5.16	             app_encode_app(X8, X8, 
4.96/5.16	               app_encode_app(X8, app_encode_fun(X8, X8), ord_max(X8), X12), 
4.96/5.16	               X11)), X10)
4.96/5.16	       | app_encode_app(X8, $o, 
4.96/5.16	           app_encode_app(X8, app_encode_fun(X8, $o), ord_less_eq(X8), X12), 
4.96/5.16	           X10)
4.96/5.16	       | ~ linorder(X8)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_49])).
4.96/5.16	tff('14', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      (~ $true
4.96/5.16	       | ~ linorder(nat)
4.96/5.16	       | app_encode_app(nat, $o, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
4.96/5.16	           app_encode_app(nat, nat, 
4.96/5.16	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	             X0))),
4.96/5.16	    inference('sup-', [status(thm)], ['7', '13'])).
4.96/5.16	tff('15', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      (~ $true
4.96/5.16	       | ~ $true
4.96/5.16	       | app_encode_app(nat, $o, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
4.96/5.16	           app_encode_app(nat, nat, 
4.96/5.16	             app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	             X0))),
4.96/5.16	    inference('demod', [status(thm)], ['14', '2'])).
4.96/5.16	tff('16', plain,
4.96/5.16	    ![X0 : nat, X1 : nat]:
4.96/5.16	      app_encode_app(nat, $o, 
4.96/5.16	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), X1), 
4.96/5.16	        app_encode_app(nat, nat, 
4.96/5.16	          app_encode_app(nat, app_encode_fun(nat, nat), ord_max(nat), X1), 
4.96/5.16	          X0)),
4.96/5.16	    inference('simplify', [status(thm)], ['15'])).
4.96/5.16	tff('17', plain,
4.96/5.16	    app_encode_app(nat, $o, 
4.96/5.16	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	        app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	          huffma945805758height(a), t_2)), 
4.96/5.16	      app_encode_app(a, nat, 
4.96/5.16	        app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	          huffma410068972_depth(a), t_2), a1)),
4.96/5.16	    inference('sup+', [status(thm)], ['6', '16'])).
4.96/5.16	tff(zf_stmt_92, axiom,
4.96/5.16	  (![N:nat,M:nat]:
4.96/5.16	     (app_encode_app(nat,$o,
4.96/5.16	                     app_encode_app(nat,app_encode_fun(nat,$o),
4.96/5.16	                                    ord_less_eq(nat),M),
4.96/5.16	                     N) =>
4.96/5.16	      (app_encode_app(nat,$o,
4.96/5.16	                      app_encode_app(nat,app_encode_fun(nat,$o),
4.96/5.16	                                     ord_less_eq(nat),N),
4.96/5.16	                      M) =>
4.96/5.16	       (M = N))))).
4.96/5.16	tff('18', plain,
4.96/5.16	    ![X174 : nat, X175 : nat]:
4.96/5.16	      (~ app_encode_app(nat, $o, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	             X174), X175)
4.96/5.16	       | X175 = X174
4.96/5.16	       | ~ app_encode_app(nat, $o, 
4.96/5.16	             app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	               X175), X174)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_92])).
4.96/5.16	tff('19', plain,
4.96/5.16	    (~ $true
4.96/5.16	     | ~ app_encode_app(nat, $o, 
4.96/5.16	           app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	             app_encode_app(a, nat, 
4.96/5.16	               app_encode_app(huffma1450048681e_tree(a), 
4.96/5.16	                 app_encode_fun(a, nat), huffma410068972_depth(a), t_2), a1)), 
4.96/5.16	           app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	             huffma945805758height(a), t_2))
4.96/5.16	     | app_encode_app(a, nat, 
4.96/5.16	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	           huffma410068972_depth(a), t_2), a1)
4.96/5.16	        = app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	            huffma945805758height(a), t_2)),
4.96/5.16	    inference('sup-', [status(thm)], ['17', '18'])).
4.96/5.16	tff(zf_stmt_48, axiom,
4.96/5.16	  (![A:$tType,A3:A,T:huffma1450048681e_tree(A)]:
4.96/5.16	     app_encode_app(nat,$o,
4.96/5.16	                    app_encode_app(nat,app_encode_fun(nat,$o),
4.96/5.16	                                   ord_less_eq(nat),
4.96/5.16	                                   app_encode_app(A,nat,
4.96/5.16	                                                  app_encode_app(huffma1450048681e_tree(
4.96/5.16	                                                                 A),
4.96/5.16	                                                                 app_encode_fun(
4.96/5.16	                                                                 A,nat),
4.96/5.16	                                                                 huffma410068972_depth(
4.96/5.16	                                                                 A),T),
4.96/5.16	                                                  A3)),
4.96/5.16	                    app_encode_app(huffma1450048681e_tree(A),nat,
4.96/5.16	                                   huffma945805758height(A),T)))).
4.96/5.16	tff('20', plain,
4.96/5.16	    ![X5 : $tType, X6 : huffma1450048681e_tree(X5), X7 : X5]:
4.96/5.16	      app_encode_app(nat, $o, 
4.96/5.16	        app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	          app_encode_app(X5, nat, 
4.96/5.16	            app_encode_app(huffma1450048681e_tree(X5), 
4.96/5.16	              app_encode_fun(X5, nat), huffma410068972_depth(X5), X6), X7)), 
4.96/5.16	        app_encode_app(huffma1450048681e_tree(X5), nat, 
4.96/5.16	          huffma945805758height(X5), X6)),
4.96/5.16	    inference('cnf', [status(esa)], [zf_stmt_48])).
4.96/5.16	tff('21', plain,
4.96/5.16	    (~ $true
4.96/5.16	     | ~ $true
4.96/5.16	     | app_encode_app(a, nat, 
4.96/5.16	         app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	           huffma410068972_depth(a), t_2), a1)
4.96/5.16	        = app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	            huffma945805758height(a), t_2)),
4.96/5.16	    inference('demod', [status(thm)], ['19', '20'])).
4.96/5.16	tff('22', plain,
4.96/5.16	    app_encode_app(a, nat, 
4.96/5.16	      app_encode_app(huffma1450048681e_tree(a), app_encode_fun(a, nat), 
4.96/5.16	        huffma410068972_depth(a), t_2), a1)
4.96/5.16	     = app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	         huffma945805758height(a), t_2),
4.96/5.16	    inference('simplify', [status(thm)], ['21'])).
4.96/5.16	tff('23', plain,
4.96/5.16	    app_encode_app(nat, $o, 
4.96/5.16	      app_encode_app(nat, app_encode_fun(nat, $o), ord_less_eq(nat), 
4.96/5.16	        app_encode_app(huffma1450048681e_tree(b), nat, 
4.96/5.16	          huffma945805758height(b), t_1)), 
4.96/5.16	      app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	        huffma945805758height(a), t_2)),
4.96/5.16	    inference('demod', [status(thm)], ['12', '22'])).
4.96/5.16	tff('24', plain,
4.96/5.16	    (~ $true
4.96/5.16	     | p
4.96/5.16	     | app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	         huffma945805758height(a), t_2)
4.96/5.16	        != app_encode_app(huffma1450048681e_tree(a), nat, 
4.96/5.16	             huffma945805758height(a), t_2)),
4.96/5.16	    inference('demod', [status(thm)], ['0', '23', '22'])).
4.96/5.16	tff('25', plain, p, inference('simplify', [status(thm)], ['24'])).
4.96/5.16	tff(zf_stmt_178, conjecture, (p)).
4.96/5.16	tff(zf_stmt_0, negated_conjecture, (~p)).
4.96/5.16	tff('26', plain, ~ p, inference('cnf', [status(esa)], [zf_stmt_0])).
4.96/5.16	tff('27', plain, ~ $true, inference('sup-', [status(thm)], ['25', '26'])).
4.96/5.16	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
4.96/5.16	
4.96/5.16	% SZS output end Refutation
4.96/5.16	EOF
