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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n183.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:44:08 CST 2018
9.19/9.37	% done 919 iterations in 9.166s
9.19/9.37	% SZS status Theorem for 'stdin'
9.19/9.37	% SZS output start Refutation
9.19/9.37	tff(zf_stmt_61, axiom,
9.19/9.37	  (![A:$tType,X:A]:
9.19/9.37	     (app_encode_app(list(A),list(A),
9.19/9.37	                     app_encode_app(A,app_encode_fun(list(A),list(A)),
9.19/9.37	                                    insert(A),X),
9.19/9.37	                     nil(A)) =
9.19/9.37	      app_encode_app(list(A),list(A),
9.19/9.37	                     app_encode_app(fun(list(A),list(A)),
9.19/9.37	                                    app_encode_fun(list(A),list(A)),
9.19/9.37	                                    aa(list(A),list(A)),
9.19/9.37	                                    app_encode_app(A,fun(list(A),list(A)),
9.19/9.37	                                                   app_encode_app(fun(
9.19/9.37	                                                                  A,
9.19/9.37	                                                                  fun(
9.19/9.37	                                                                  list(A),
9.19/9.37	                                                                  list(A))),
9.19/9.37	                                                                  app_encode_fun(
9.19/9.37	                                                                  A,
9.19/9.37	                                                                  fun(
9.19/9.37	                                                                  list(A),
9.19/9.37	                                                                  list(A))),
9.19/9.37	                                                                  aa(
9.19/9.37	                                                                  A,
9.19/9.37	                                                                  fun(
9.19/9.37	                                                                  list(A),
9.19/9.37	                                                                  list(A))),
9.19/9.37	                                                                  cons(A)),
9.19/9.37	                                                   X)),
9.19/9.37	                     nil(A))))).
9.19/9.37	tff('0', plain,
9.19/9.37	    ![X78 : $tType, X79 : X78]:
9.19/9.37	      app_encode_app(list(X78), list(X78), 
9.19/9.37	        app_encode_app(X78, app_encode_fun(list(X78), list(X78)), 
9.19/9.37	          insert(X78), X79), nil(X78))
9.19/9.37	       = app_encode_app(list(X78), list(X78), 
9.19/9.37	           app_encode_app(fun(list(X78), list(X78)), 
9.19/9.37	             app_encode_fun(list(X78), list(X78)), aa(list(X78), list(X78)), 
9.19/9.37	             app_encode_app(X78, fun(list(X78), list(X78)), 
9.19/9.37	               app_encode_app(fun(X78, fun(list(X78), list(X78))), 
9.19/9.37	                 app_encode_fun(X78, fun(list(X78), list(X78))), 
9.19/9.37	                 aa(X78, fun(list(X78), list(X78))), cons(X78)), X79)), 
9.19/9.37	           nil(X78)),
9.19/9.37	    inference('cnf', [status(esa)], [zf_stmt_61])).
9.19/9.37	tff(zf_stmt_50, axiom,
9.19/9.37	  (![A:$tType,A2:list(A),A1:fun(A,bool)]:
9.19/9.37	     (app_encode_app(list(A),$o,
9.19/9.37	                     app_encode_app(fun(A,bool),app_encode_fun(list(A),$o),
9.19/9.37	                                    listsp(A),A1),
9.19/9.37	                     A2) <=>
9.19/9.37	      ((A2 = nil(A)) | 
9.19/9.37	       (?[A4:A,L:list(A)]:
9.19/9.37	          ((A2 =
9.19/9.37	            app_encode_app(list(A),list(A),
9.19/9.37	                           app_encode_app(fun(list(A),list(A)),
9.19/9.37	                                          app_encode_fun(list(A),list(A)),
9.19/9.37	                                          aa(list(A),list(A)),
9.19/9.37	                                          app_encode_app(A,
9.19/9.37	                                                         fun(list(A),list(A)),
9.19/9.37	                                                         app_encode_app(
9.19/9.37	                                                         fun(A,
9.19/9.37	                                                             fun(list(A),
9.19/9.37	                                                                 list(A))),
9.19/9.37	                                                         app_encode_fun(
9.19/9.37	                                                         A,
9.19/9.37	                                                         fun(list(A),list(A))),
9.19/9.37	                                                         aa(A,
9.19/9.37	                                                            fun(list(A),
9.19/9.37	                                                                list(A))),
9.19/9.37	                                                         cons(A)),A4)),
9.19/9.37	                           L)) & 
9.19/9.37	           app_encode_app(bool,$o,pp,
9.19/9.37	                          app_encode_app(A,bool,
9.19/9.37	                                         app_encode_app(fun(A,bool),
9.19/9.37	                                                        app_encode_fun(
9.19/9.37	                                                        A,bool),aa(A,bool),A1),
9.19/9.37	                                         A4)) & 
9.19/9.37	           app_encode_app(list(A),$o,
9.19/9.37	                          app_encode_app(fun(A,bool),
9.19/9.37	                                         app_encode_fun(list(A),$o),
9.19/9.37	                                         listsp(A),A1),
9.19/9.37	                          L))))))).
9.19/9.37	tff('1', plain,
9.19/9.37	    ![X34 : $tType, X36 : list(X34), X37 : fun(X34, bool), X38 : X34, 
9.19/9.37	      X39 : list(X34)]:
9.19/9.37	      (app_encode_app(list(X34), $o, 
9.19/9.37	         app_encode_app(fun(X34, bool), app_encode_fun(list(X34), $o), 
9.19/9.37	           listsp(X34), X37), X36)
9.19/9.37	       | ~ app_encode_app(bool, $o, pp, 
9.19/9.37	             app_encode_app(X34, bool, 
9.19/9.37	               app_encode_app(fun(X34, bool), app_encode_fun(X34, bool), 
9.19/9.37	                 aa(X34, bool), X37), X38))
9.19/9.37	       | ~ app_encode_app(list(X34), $o, 
9.19/9.37	             app_encode_app(fun(X34, bool), app_encode_fun(list(X34), $o), 
9.19/9.37	               listsp(X34), X37), X39)
9.19/9.37	       | X36
9.19/9.37	          != app_encode_app(list(X34), list(X34), 
9.19/9.37	               app_encode_app(fun(list(X34), list(X34)), 
9.19/9.37	                 app_encode_fun(list(X34), list(X34)), 
9.19/9.37	                 aa(list(X34), list(X34)), 
9.19/9.37	                 app_encode_app(X34, fun(list(X34), list(X34)), 
9.19/9.37	                   app_encode_app(fun(X34, fun(list(X34), list(X34))), 
9.19/9.37	                     app_encode_fun(X34, fun(list(X34), list(X34))), 
9.19/9.37	                     aa(X34, fun(list(X34), list(X34))), cons(X34)), X38)), 
9.19/9.37	               X39)),
9.19/9.37	    inference('cnf', [status(esa)], [zf_stmt_50])).
9.19/9.37	tff('2', plain,
9.19/9.37	    ![X34 : $tType, X37 : fun(X34, bool), X38 : X34, X39 : list(X34)]:
9.19/9.37	      (~ app_encode_app(list(X34), $o, 
9.19/9.37	           app_encode_app(fun(X34, bool), app_encode_fun(list(X34), $o), 
9.19/9.37	             listsp(X34), X37), X39)
9.19/9.37	       | ~ app_encode_app(bool, $o, pp, 
9.19/9.37	             app_encode_app(X34, bool, 
9.19/9.37	               app_encode_app(fun(X34, bool), app_encode_fun(X34, bool), 
9.19/9.37	                 aa(X34, bool), X37), X38))
9.19/9.37	       | app_encode_app(list(X34), $o, 
9.19/9.37	           app_encode_app(fun(X34, bool), app_encode_fun(list(X34), $o), 
9.19/9.37	             listsp(X34), X37), 
9.19/9.37	           app_encode_app(list(X34), list(X34), 
9.19/9.37	             app_encode_app(fun(list(X34), list(X34)), 
9.19/9.37	               app_encode_fun(list(X34), list(X34)), 
9.19/9.37	               aa(list(X34), list(X34)), 
9.19/9.37	               app_encode_app(X34, fun(list(X34), list(X34)), 
9.19/9.37	                 app_encode_app(fun(X34, fun(list(X34), list(X34))), 
9.19/9.37	                   app_encode_fun(X34, fun(list(X34), list(X34))), 
9.19/9.37	                   aa(X34, fun(list(X34), list(X34))), cons(X34)), X38)), 
9.19/9.37	             X39))),
9.19/9.37	    inference('simplify', [status(thm)], ['1'])).
9.19/9.37	tff('3', plain,
9.19/9.37	    ![X0 : $tType, X1 : X0, X2 : fun(X0, bool)]:
9.19/9.37	      (app_encode_app(list(X0), $o, 
9.19/9.37	         app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
9.19/9.37	           listsp(X0), X2), 
9.19/9.37	         app_encode_app(list(X0), list(X0), 
9.19/9.37	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
9.19/9.37	             insert(X0), X1), nil(X0)))
9.19/9.37	       | ~ app_encode_app(bool, $o, pp, 
9.19/9.37	             app_encode_app(X0, bool, 
9.19/9.37	               app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
9.19/9.37	                 aa(X0, bool), X2), X1))
9.19/9.37	       | ~ app_encode_app(list(X0), $o, 
9.19/9.37	             app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
9.19/9.37	               listsp(X0), X2), nil(X0))),
9.19/9.37	    inference('sup+', [status(thm)], ['0', '2'])).
9.19/9.37	tff(zf_stmt_41, axiom,
9.19/9.37	  (![A:$tType,A1:fun(A,bool)]:
9.19/9.37	     app_encode_app(list(A),$o,
9.19/9.37	                    app_encode_app(fun(A,bool),app_encode_fun(list(A),$o),
9.19/9.37	                                   listsp(A),A1),
9.19/9.37	                    nil(A)))).
9.19/9.37	tff('4', plain,
9.19/9.37	    ![X1 : $tType, X2 : fun(X1, bool)]:
9.19/9.37	      app_encode_app(list(X1), $o, 
9.19/9.37	        app_encode_app(fun(X1, bool), app_encode_fun(list(X1), $o), 
9.19/9.37	          listsp(X1), X2), nil(X1)),
9.19/9.37	    inference('cnf', [status(esa)], [zf_stmt_41])).
9.19/9.37	tff('5', plain,
9.19/9.37	    ![X0 : $tType, X1 : X0, X2 : fun(X0, bool)]:
9.19/9.37	      (app_encode_app(list(X0), $o, 
9.19/9.37	         app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
9.19/9.37	           listsp(X0), X2), 
9.19/9.37	         app_encode_app(list(X0), list(X0), 
9.19/9.37	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
9.19/9.37	             insert(X0), X1), nil(X0)))
9.19/9.37	       | ~ app_encode_app(bool, $o, pp, 
9.19/9.37	             app_encode_app(X0, bool, 
9.19/9.37	               app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
9.19/9.37	                 aa(X0, bool), X2), X1))
9.19/9.37	       | ~ $true),
9.19/9.37	    inference('demod', [status(thm)], ['3', '4'])).
9.19/9.37	tff('6', plain,
9.19/9.37	    ![X0 : $tType, X1 : X0, X2 : fun(X0, bool)]:
9.19/9.37	      (~ app_encode_app(bool, $o, pp, 
9.19/9.37	           app_encode_app(X0, bool, 
9.19/9.37	             app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
9.19/9.37	               aa(X0, bool), X2), X1))
9.19/9.37	       | app_encode_app(list(X0), $o, 
9.19/9.37	           app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
9.19/9.37	             listsp(X0), X2), 
9.19/9.37	           app_encode_app(list(X0), list(X0), 
9.19/9.37	             app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
9.19/9.37	               insert(X0), X1), nil(X0)))),
9.19/9.37	    inference('simplify', [status(thm)], ['5'])).
9.19/9.37	tff(zf_stmt_156, conjecture,
9.19/9.37	  (app_encode_app(list(dB),$o,
9.19/9.37	                  app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
9.19/9.37	                                 listsp(dB),it),
9.19/9.37	                  app_encode_app(list(dB),list(dB),
9.19/9.37	                                 app_encode_app(fun(list(dB),list(dB)),
9.19/9.37	                                                app_encode_fun(list(dB),
9.19/9.37	                                                               list(dB)),
9.19/9.37	                                                aa(list(dB),list(dB)),
9.19/9.37	                                                app_encode_app(dB,
9.19/9.37	                                                               fun(list(dB),
9.19/9.37	                                                                   list(dB)),
9.19/9.37	                                                               app_encode_app(
9.19/9.37	                                                               fun(dB,
9.19/9.37	                                                                   fun(
9.19/9.37	                                                                   list(dB),
9.19/9.37	                                                                   list(dB))),
9.19/9.37	                                                               app_encode_fun(
9.19/9.37	                                                               dB,
9.19/9.37	                                                               fun(list(dB),
9.19/9.37	                                                                   list(dB))),
9.19/9.37	                                                               aa(dB,
9.19/9.37	                                                                  fun(
9.19/9.37	                                                                  list(dB),
9.19/9.37	                                                                  list(dB))),
9.19/9.37	                                                               cons(dB)),
9.19/9.37	                                                               app_encode_app(
9.19/9.37	                                                               nat,dB,var,i))),
9.19/9.37	                                 nil(dB))))).
9.19/9.37	tff(zf_stmt_0, negated_conjecture,
9.19/9.37	  (~
9.19/9.37	    app_encode_app(list(dB),$o,
9.19/9.37	                   app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
9.19/9.37	                                  listsp(dB),it),
9.19/9.37	                   app_encode_app(list(dB),list(dB),
9.19/9.37	                                  app_encode_app(fun(list(dB),list(dB)),
9.19/9.37	                                                 app_encode_fun(list(dB),
9.19/9.37	                                                                list(dB)),
9.19/9.37	                                                 aa(list(dB),list(dB)),
9.19/9.37	                                                 app_encode_app(dB,
9.19/9.37	                                                                fun(list(dB),
9.19/9.37	                                                                    list(dB)),
9.19/9.37	                                                                app_encode_app(
9.19/9.37	                                                                fun(dB,
9.19/9.37	                                                                    fun(
9.19/9.37	                                                                    list(dB),
9.19/9.37	                                                                    list(dB))),
9.19/9.37	                                                                app_encode_fun(
9.19/9.37	                                                                dB,
9.19/9.37	                                                                fun(list(dB),
9.19/9.37	                                                                    list(dB))),
9.19/9.37	                                                                aa(dB,
9.19/9.37	                                                                   fun(
9.19/9.37	                                                                   list(dB),
9.19/9.37	                                                                   list(dB))),
9.19/9.37	                                                                cons(dB)),
9.19/9.37	                                                                app_encode_app(
9.19/9.37	                                                                nat,dB,var,i))),
9.19/9.37	                                  nil(dB))))).
9.19/9.37	tff('7', plain,
9.19/9.37	    ~ app_encode_app(list(dB), $o, 
9.19/9.37	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
9.19/9.37	          listsp(dB), it), 
9.19/9.37	        app_encode_app(list(dB), list(dB), 
9.19/9.37	          app_encode_app(fun(list(dB), list(dB)), 
9.19/9.37	            app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
9.19/9.37	            app_encode_app(dB, fun(list(dB), list(dB)), 
9.19/9.37	              app_encode_app(fun(dB, fun(list(dB), list(dB))), 
9.19/9.37	                app_encode_fun(dB, fun(list(dB), list(dB))), 
9.19/9.37	                aa(dB, fun(list(dB), list(dB))), cons(dB)), 
9.19/9.37	              app_encode_app(nat, dB, var, i))), nil(dB))),
9.19/9.37	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.19/9.37	tff('8', plain,
9.19/9.37	    ~ app_encode_app(list(dB), $o, 
9.19/9.37	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
9.19/9.37	          listsp(dB), it), 
9.19/9.37	        app_encode_app(list(dB), list(dB), 
9.19/9.37	          app_encode_app(dB, app_encode_fun(list(dB), list(dB)), insert(dB), 
9.19/9.37	            app_encode_app(nat, dB, var, i)), nil(dB))),
9.19/9.37	    inference('demod', [status(thm)], ['7', '0'])).
9.19/9.37	tff('9', plain,
9.19/9.37	    (~ $true
9.19/9.37	     | ~ app_encode_app(bool, $o, pp, 
9.19/9.37	           app_encode_app(dB, bool, 
9.19/9.37	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
9.19/9.37	               aa(dB, bool), it), app_encode_app(nat, dB, var, i)))),
9.19/9.37	    inference('sup-', [status(thm)], ['6', '8'])).
9.19/9.37	tff(zf_stmt_40, axiom,
9.19/9.37	  (![N2:nat]:
9.19/9.37	     app_encode_app(bool,$o,pp,
9.19/9.37	                    app_encode_app(dB,bool,
9.19/9.37	                                   app_encode_app(fun(dB,bool),
9.19/9.37	                                                  app_encode_fun(dB,bool),
9.19/9.37	                                                  aa(dB,bool),it),
9.19/9.37	                                   app_encode_app(nat,dB,var,N2))))).
9.19/9.37	tff('10', plain,
9.19/9.37	    ![X0 : nat]:
9.19/9.37	      app_encode_app(bool, $o, pp, 
9.19/9.37	        app_encode_app(dB, bool, 
9.19/9.37	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
9.19/9.37	            aa(dB, bool), it), app_encode_app(nat, dB, var, X0))),
9.19/9.37	    inference('cnf', [status(esa)], [zf_stmt_40])).
9.19/9.37	tff('11', plain, (~ $true | ~ $true),
9.19/9.37	    inference('demod', [status(thm)], ['9', '10'])).
9.19/9.37	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
9.19/9.37	
9.19/9.37	% SZS output end Refutation
9.19/9.37	EOF
