0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n097.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:48:08 CST 2018
1.05/1.27	% done 920 iterations in 1.069s
1.05/1.27	% SZS status Theorem for 'stdin'
1.05/1.27	% SZS output start Refutation
1.05/1.27	tff(zf_stmt_32, axiom,
1.05/1.27	  (app_encode_app(real,$o,
1.05/1.27	                  app_encode_app(real,app_encode_fun(real,$o),ord_less(real),
1.05/1.27	                                 y),
1.05/1.27	                  z))).
1.05/1.27	tff('0', plain,
1.05/1.27	    app_encode_app(real, $o, 
1.05/1.27	      app_encode_app(real, app_encode_fun(real, $o), ord_less(real), y), z),
1.05/1.27	    inference('cnf', [status(esa)], [zf_stmt_32])).
1.05/1.27	tff(zf_stmt_82, axiom,
1.05/1.27	  (![A:$tType]:
1.05/1.27	     (preorder(A) =>
1.05/1.27	      (![Ya:A,Xa:A]:
1.05/1.27	         (app_encode_app(A,$o,
1.05/1.27	                         app_encode_app(A,app_encode_fun(A,$o),ord_less(A),Xa),
1.05/1.27	                         Ya) <=>
1.05/1.27	          (app_encode_app(A,$o,
1.05/1.27	                          app_encode_app(A,app_encode_fun(A,$o),
1.05/1.27	                                         ord_less_eq(A),Xa),
1.05/1.27	                          Ya) & 
1.05/1.27	           (~
1.05/1.27	             app_encode_app(A,$o,
1.05/1.27	                            app_encode_app(A,app_encode_fun(A,$o),
1.05/1.27	                                           ord_less_eq(A),Ya),
1.05/1.27	                            Xa)))))))).
1.05/1.27	tff('1', plain,
1.05/1.27	    ![X130 : $tType, X132 : X130, X133 : X130]:
1.05/1.27	      (~ app_encode_app(X130, $o, 
1.05/1.27	           app_encode_app(X130, app_encode_fun(X130, $o), ord_less(X130), 
1.05/1.27	             X133), X132)
1.05/1.27	       | ~ app_encode_app(X130, $o, 
1.05/1.27	             app_encode_app(X130, app_encode_fun(X130, $o), 
1.05/1.27	               ord_less_eq(X130), X132), X133)
1.05/1.27	       | ~ preorder(X130)),
1.05/1.27	    inference('cnf', [status(esa)], [zf_stmt_82])).
1.05/1.27	tff('2', plain,
1.05/1.27	    (~ $true
1.05/1.27	     | ~ preorder(real)
1.05/1.27	     | ~ app_encode_app(real, $o, 
1.05/1.27	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.27	             z), y)),
1.05/1.27	    inference('sup-', [status(thm)], ['0', '1'])).
1.05/1.27	tff(zf_stmt_139, axiom, (preorder(real))).
1.05/1.27	tff('3', plain, preorder(real),
1.05/1.27	    inference('cnf', [status(esa)], [zf_stmt_139])).
1.05/1.27	tff('4', plain,
1.05/1.27	    (~ $true
1.05/1.27	     | ~ $true
1.05/1.27	     | ~ app_encode_app(real, $o, 
1.05/1.27	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.27	             z), y)),
1.05/1.27	    inference('demod', [status(thm)], ['2', '3'])).
1.05/1.27	tff('5', plain,
1.05/1.27	    ~ app_encode_app(real, $o, 
1.05/1.28	        app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), z), 
1.05/1.28	        y),
1.05/1.28	    inference('simplify', [status(thm)], ['4'])).
1.05/1.28	tff(zf_stmt_56, axiom,
1.05/1.28	  (![A:$tType]:
1.05/1.28	     (linorder(A) =>
1.05/1.28	      (![Y1:A,X2:A]:
1.05/1.28	         (app_encode_app(A,$o,
1.05/1.28	                         app_encode_app(A,app_encode_fun(A,$o),
1.05/1.28	                                        ord_less_eq(A),X2),
1.05/1.28	                         Y1) | 
1.05/1.28	          app_encode_app(A,$o,
1.05/1.28	                         app_encode_app(A,app_encode_fun(A,$o),
1.05/1.28	                                        ord_less_eq(A),Y1),
1.05/1.28	                         X2)))))).
1.05/1.28	tff('6', plain,
1.05/1.28	    ![X43 : $tType, X44 : X43, X45 : X43]:
1.05/1.28	      (app_encode_app(X43, $o, 
1.05/1.28	         app_encode_app(X43, app_encode_fun(X43, $o), ord_less_eq(X43), X44), 
1.05/1.28	         X45)
1.05/1.28	       | app_encode_app(X43, $o, 
1.05/1.28	           app_encode_app(X43, app_encode_fun(X43, $o), ord_less_eq(X43), 
1.05/1.28	             X45), X44)
1.05/1.28	       | ~ linorder(X43)),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_56])).
1.05/1.28	tff(zf_stmt_40, axiom,
1.05/1.28	  (![A:$tType]:
1.05/1.28	     (linorder(A) =>
1.05/1.28	      (![Ya:A,Xa:A]:
1.05/1.28	         ((Xa != Ya) <=>
1.05/1.28	          (app_encode_app(A,$o,
1.05/1.28	                          app_encode_app(A,app_encode_fun(A,$o),ord_less(A),
1.05/1.28	                                         Xa),
1.05/1.28	                          Ya) | 
1.05/1.28	           app_encode_app(A,$o,
1.05/1.28	                          app_encode_app(A,app_encode_fun(A,$o),ord_less(A),
1.05/1.28	                                         Ya),
1.05/1.28	                          Xa))))))).
1.05/1.28	tff('7', plain,
1.05/1.28	    ![X6 : $tType, X7 : X6, X9 : X6]:
1.05/1.28	      (X9 = X7
1.05/1.28	       | app_encode_app(X6, $o, 
1.05/1.28	           app_encode_app(X6, app_encode_fun(X6, $o), ord_less(X6), X9), X7)
1.05/1.28	       | app_encode_app(X6, $o, 
1.05/1.28	           app_encode_app(X6, app_encode_fun(X6, $o), ord_less(X6), X7), X9)
1.05/1.28	       | ~ linorder(X6)),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_40])).
1.05/1.28	tff(zf_stmt_148, conjecture,
1.05/1.28	  (app_encode_app(real,$o,
1.05/1.28	                  app_encode_app(real,app_encode_fun(real,$o),ord_less(real),
1.05/1.28	                                 y),
1.05/1.28	                  l))).
1.05/1.28	tff(zf_stmt_0, negated_conjecture,
1.05/1.28	  (~
1.05/1.28	    app_encode_app(real,$o,
1.05/1.28	                   app_encode_app(real,app_encode_fun(real,$o),
1.05/1.28	                                  ord_less(real),y),
1.05/1.28	                   l))).
1.05/1.28	tff('8', plain,
1.05/1.28	    ~ app_encode_app(real, $o, 
1.05/1.28	        app_encode_app(real, app_encode_fun(real, $o), ord_less(real), y), l),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.05/1.28	tff('9', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | ~ linorder(real)
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less(real), l), 
1.05/1.28	         y)
1.05/1.28	     | y = l),
1.05/1.28	    inference('sup-', [status(thm)], ['7', '8'])).
1.05/1.28	tff(zf_stmt_140, axiom, (linorder(real))).
1.05/1.28	tff('10', plain, linorder(real),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_140])).
1.05/1.28	tff('11', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | ~ $true
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less(real), l), 
1.05/1.28	         y)
1.05/1.28	     | y = l),
1.05/1.28	    inference('demod', [status(thm)], ['9', '10'])).
1.05/1.28	tff('12', plain,
1.05/1.28	    (y = l
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less(real), l), 
1.05/1.28	         y)),
1.05/1.28	    inference('simplify', [status(thm)], ['11'])).
1.05/1.28	tff('13', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | y = l
1.05/1.28	     | ~ preorder(real)
1.05/1.28	     | ~ app_encode_app(real, $o, 
1.05/1.28	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.28	             y), l)),
1.05/1.28	    inference('sup-', [status(thm)], ['12', '1'])).
1.05/1.28	tff('14', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | y = l
1.05/1.28	     | ~ $true
1.05/1.28	     | ~ app_encode_app(real, $o, 
1.05/1.28	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.28	             y), l)),
1.05/1.28	    inference('demod', [status(thm)], ['13', '3'])).
1.05/1.28	tff('15', plain,
1.05/1.28	    (~ app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), y), 
1.05/1.28	         l)
1.05/1.28	     | y = l),
1.05/1.28	    inference('simplify', [status(thm)], ['14'])).
1.05/1.28	tff('16', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | ~ linorder(real)
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), l), 
1.05/1.28	         y)
1.05/1.28	     | y = l),
1.05/1.28	    inference('sup-', [status(thm)], ['6', '15'])).
1.05/1.28	tff('17', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | ~ $true
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), l), 
1.05/1.28	         y)
1.05/1.28	     | y = l),
1.05/1.28	    inference('demod', [status(thm)], ['16', '10'])).
1.05/1.28	tff('18', plain,
1.05/1.28	    (y = l
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), l), 
1.05/1.28	         y)),
1.05/1.28	    inference('simplify', [status(thm)], ['17'])).
1.05/1.28	tff(zf_stmt_47, axiom,
1.05/1.28	  (app_encode_app(bool,$o,pp,
1.05/1.28	                  app_encode_app(real,bool,
1.05/1.28	                                 app_encode_app(fun(real,bool),
1.05/1.28	                                                app_encode_fun(real,bool),
1.05/1.28	                                                aa(real,bool),p),
1.05/1.28	                                 z)))).
1.05/1.28	tff('19', plain,
1.05/1.28	    app_encode_app(bool, $o, pp, 
1.05/1.28	      app_encode_app(real, bool, 
1.05/1.28	        app_encode_app(fun(real, bool), app_encode_fun(real, bool), 
1.05/1.28	          aa(real, bool), p), z)),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_47])).
1.05/1.28	tff(zf_stmt_31, axiom,
1.05/1.28	  (![X4:real]:
1.05/1.28	     (app_encode_app(bool,$o,pp,
1.05/1.28	                     app_encode_app(real,bool,
1.05/1.28	                                    app_encode_app(fun(real,bool),
1.05/1.28	                                                   app_encode_fun(real,bool),
1.05/1.28	                                                   aa(real,bool),p),
1.05/1.28	                                    X4)) =>
1.05/1.28	      app_encode_app(real,$o,
1.05/1.28	                     app_encode_app(real,app_encode_fun(real,$o),
1.05/1.28	                                    ord_less_eq(real),X4),
1.05/1.28	                     l)))).
1.05/1.28	tff('20', plain,
1.05/1.28	    ![X1 : real]:
1.05/1.28	      (app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.28	           X1), l)
1.05/1.28	       | ~ app_encode_app(bool, $o, pp, 
1.05/1.28	             app_encode_app(real, bool, 
1.05/1.28	               app_encode_app(fun(real, bool), app_encode_fun(real, bool), 
1.05/1.28	                 aa(real, bool), p), X1))),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_31])).
1.05/1.28	tff('21', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), z), 
1.05/1.28	         l)),
1.05/1.28	    inference('sup-', [status(thm)], ['19', '20'])).
1.05/1.28	tff('22', plain,
1.05/1.28	    app_encode_app(real, $o, 
1.05/1.28	      app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), z), 
1.05/1.28	      l),
1.05/1.28	    inference('simplify', [status(thm)], ['21'])).
1.05/1.28	tff(zf_stmt_65, axiom,
1.05/1.28	  (![A:$tType]:
1.05/1.28	     (preorder(A) =>
1.05/1.28	      (![Z:A,Y1:A,X2:A]:
1.05/1.28	         (app_encode_app(A,$o,
1.05/1.28	                         app_encode_app(A,app_encode_fun(A,$o),
1.05/1.28	                                        ord_less_eq(A),X2),
1.05/1.28	                         Y1) =>
1.05/1.28	          (app_encode_app(A,$o,
1.05/1.28	                          app_encode_app(A,app_encode_fun(A,$o),
1.05/1.28	                                         ord_less_eq(A),Y1),
1.05/1.28	                          Z) =>
1.05/1.28	           app_encode_app(A,$o,
1.05/1.28	                          app_encode_app(A,app_encode_fun(A,$o),
1.05/1.28	                                         ord_less_eq(A),X2),
1.05/1.28	                          Z))))))).
1.05/1.28	tff('23', plain,
1.05/1.28	    ![X74 : $tType, X75 : X74, X76 : X74, X77 : X74]:
1.05/1.28	      (app_encode_app(X74, $o, 
1.05/1.28	         app_encode_app(X74, app_encode_fun(X74, $o), ord_less_eq(X74), X75), 
1.05/1.28	         X76)
1.05/1.28	       | ~ app_encode_app(X74, $o, 
1.05/1.28	             app_encode_app(X74, app_encode_fun(X74, $o), ord_less_eq(X74), 
1.05/1.28	               X75), X77)
1.05/1.28	       | ~ app_encode_app(X74, $o, 
1.05/1.28	             app_encode_app(X74, app_encode_fun(X74, $o), ord_less_eq(X74), 
1.05/1.28	               X77), X76)
1.05/1.28	       | ~ preorder(X74)),
1.05/1.28	    inference('cnf', [status(esa)], [zf_stmt_65])).
1.05/1.28	tff('24', plain,
1.05/1.28	    ![X0 : real]:
1.05/1.28	      (~ $true
1.05/1.28	       | ~ preorder(real)
1.05/1.28	       | ~ app_encode_app(real, $o, 
1.05/1.28	             app_encode_app(real, app_encode_fun(real, $o), 
1.05/1.28	               ord_less_eq(real), l), X0)
1.05/1.28	       | app_encode_app(real, $o, 
1.05/1.28	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.28	             z), X0)),
1.05/1.28	    inference('sup-', [status(thm)], ['22', '23'])).
1.05/1.28	tff('25', plain,
1.05/1.28	    ![X0 : real]:
1.05/1.28	      (~ $true
1.05/1.28	       | ~ $true
1.05/1.28	       | ~ app_encode_app(real, $o, 
1.05/1.28	             app_encode_app(real, app_encode_fun(real, $o), 
1.05/1.28	               ord_less_eq(real), l), X0)
1.05/1.28	       | app_encode_app(real, $o, 
1.05/1.28	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.28	             z), X0)),
1.05/1.28	    inference('demod', [status(thm)], ['24', '3'])).
1.05/1.28	tff('26', plain,
1.05/1.28	    ![X0 : real]:
1.05/1.28	      (app_encode_app(real, $o, 
1.05/1.28	         app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), z), 
1.05/1.28	         X0)
1.05/1.28	       | ~ app_encode_app(real, $o, 
1.05/1.28	             app_encode_app(real, app_encode_fun(real, $o), 
1.05/1.28	               ord_less_eq(real), l), X0)),
1.05/1.28	    inference('simplify', [status(thm)], ['25'])).
1.05/1.28	tff('27', plain,
1.05/1.28	    (~ $true
1.05/1.28	     | ~ app_encode_app(real, $o, 
1.05/1.28	           app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), 
1.05/1.28	             l), y)),
1.05/1.28	    inference('sup-', [status(thm)], ['26', '5'])).
1.05/1.28	tff('28', plain,
1.05/1.28	    ~ app_encode_app(real, $o, 
1.05/1.28	        app_encode_app(real, app_encode_fun(real, $o), ord_less_eq(real), l), 
1.05/1.28	        y),
1.05/1.28	    inference('simplify', [status(thm)], ['27'])).
1.05/1.28	tff('29', plain, (~ $true | y = l),
1.05/1.28	    inference('sup-', [status(thm)], ['18', '28'])).
1.05/1.28	tff('30', plain, y = l, inference('simplify', [status(thm)], ['29'])).
1.05/1.28	tff('31', plain, ~ $true,
1.05/1.28	    inference('demod', [status(thm)], ['5', '30', '22'])).
1.05/1.28	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
1.05/1.28	
1.05/1.28	% SZS output end Refutation
1.05/1.28	EOF
