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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n094.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:44:08 CST 2018
8.81/8.97	% done 919 iterations in 8.769s
8.81/8.97	% SZS status Theorem for 'stdin'
8.81/8.97	% SZS output start Refutation
8.81/8.97	tff(zf_stmt_62, axiom,
8.81/8.97	  (![A:$tType,X:A]:
8.81/8.97	     (app_encode_app(list(A),list(A),
8.81/8.97	                     app_encode_app(A,app_encode_fun(list(A),list(A)),
8.81/8.97	                                    insert(A),X),
8.81/8.97	                     nil(A)) =
8.81/8.97	      app_encode_app(list(A),list(A),
8.81/8.97	                     app_encode_app(fun(list(A),list(A)),
8.81/8.97	                                    app_encode_fun(list(A),list(A)),
8.81/8.97	                                    aa(list(A),list(A)),
8.81/8.97	                                    app_encode_app(A,fun(list(A),list(A)),
8.81/8.97	                                                   app_encode_app(fun(
8.81/8.97	                                                                  A,
8.81/8.97	                                                                  fun(
8.81/8.97	                                                                  list(A),
8.81/8.97	                                                                  list(A))),
8.81/8.97	                                                                  app_encode_fun(
8.81/8.97	                                                                  A,
8.81/8.97	                                                                  fun(
8.81/8.97	                                                                  list(A),
8.81/8.97	                                                                  list(A))),
8.81/8.97	                                                                  aa(
8.81/8.97	                                                                  A,
8.81/8.97	                                                                  fun(
8.81/8.97	                                                                  list(A),
8.81/8.97	                                                                  list(A))),
8.81/8.97	                                                                  cons(A)),
8.81/8.97	                                                   X)),
8.81/8.97	                     nil(A))))).
8.81/8.97	tff('0', plain,
8.81/8.97	    ![X82 : $tType, X83 : X82]:
8.81/8.97	      app_encode_app(list(X82), list(X82), 
8.81/8.97	        app_encode_app(X82, app_encode_fun(list(X82), list(X82)), 
8.81/8.97	          insert(X82), X83), nil(X82))
8.81/8.97	       = app_encode_app(list(X82), list(X82), 
8.81/8.97	           app_encode_app(fun(list(X82), list(X82)), 
8.81/8.97	             app_encode_fun(list(X82), list(X82)), aa(list(X82), list(X82)), 
8.81/8.97	             app_encode_app(X82, fun(list(X82), list(X82)), 
8.81/8.97	               app_encode_app(fun(X82, fun(list(X82), list(X82))), 
8.81/8.97	                 app_encode_fun(X82, fun(list(X82), list(X82))), 
8.81/8.97	                 aa(X82, fun(list(X82), list(X82))), cons(X82)), X83)), 
8.81/8.97	           nil(X82)),
8.81/8.97	    inference('cnf', [status(esa)], [zf_stmt_62])).
8.81/8.97	tff(zf_stmt_51, axiom,
8.81/8.97	  (![A:$tType,A2:list(A),A1:fun(A,bool)]:
8.81/8.97	     (app_encode_app(list(A),$o,
8.81/8.97	                     app_encode_app(fun(A,bool),app_encode_fun(list(A),$o),
8.81/8.97	                                    listsp(A),A1),
8.81/8.97	                     A2) <=>
8.81/8.97	      ((A2 = nil(A)) | 
8.81/8.97	       (?[A4:A,L:list(A)]:
8.81/8.97	          ((A2 =
8.81/8.97	            app_encode_app(list(A),list(A),
8.81/8.97	                           app_encode_app(fun(list(A),list(A)),
8.81/8.97	                                          app_encode_fun(list(A),list(A)),
8.81/8.97	                                          aa(list(A),list(A)),
8.81/8.97	                                          app_encode_app(A,
8.81/8.97	                                                         fun(list(A),list(A)),
8.81/8.97	                                                         app_encode_app(
8.81/8.97	                                                         fun(A,
8.81/8.97	                                                             fun(list(A),
8.81/8.97	                                                                 list(A))),
8.81/8.97	                                                         app_encode_fun(
8.81/8.97	                                                         A,
8.81/8.97	                                                         fun(list(A),list(A))),
8.81/8.97	                                                         aa(A,
8.81/8.97	                                                            fun(list(A),
8.81/8.97	                                                                list(A))),
8.81/8.97	                                                         cons(A)),A4)),
8.81/8.97	                           L)) & 
8.81/8.97	           app_encode_app(bool,$o,pp,
8.81/8.97	                          app_encode_app(A,bool,
8.81/8.97	                                         app_encode_app(fun(A,bool),
8.81/8.97	                                                        app_encode_fun(
8.81/8.97	                                                        A,bool),aa(A,bool),A1),
8.81/8.97	                                         A4)) & 
8.81/8.97	           app_encode_app(list(A),$o,
8.81/8.97	                          app_encode_app(fun(A,bool),
8.81/8.97	                                         app_encode_fun(list(A),$o),
8.81/8.97	                                         listsp(A),A1),
8.81/8.97	                          L))))))).
8.81/8.97	tff('1', plain,
8.81/8.97	    ![X38 : $tType, X40 : list(X38), X41 : fun(X38, bool), X42 : X38, 
8.81/8.97	      X43 : list(X38)]:
8.81/8.97	      (app_encode_app(list(X38), $o, 
8.81/8.97	         app_encode_app(fun(X38, bool), app_encode_fun(list(X38), $o), 
8.81/8.97	           listsp(X38), X41), X40)
8.81/8.97	       | ~ app_encode_app(bool, $o, pp, 
8.81/8.97	             app_encode_app(X38, bool, 
8.81/8.97	               app_encode_app(fun(X38, bool), app_encode_fun(X38, bool), 
8.81/8.97	                 aa(X38, bool), X41), X42))
8.81/8.97	       | ~ app_encode_app(list(X38), $o, 
8.81/8.97	             app_encode_app(fun(X38, bool), app_encode_fun(list(X38), $o), 
8.81/8.97	               listsp(X38), X41), X43)
8.81/8.97	       | X40
8.81/8.97	          != app_encode_app(list(X38), list(X38), 
8.81/8.97	               app_encode_app(fun(list(X38), list(X38)), 
8.81/8.97	                 app_encode_fun(list(X38), list(X38)), 
8.81/8.97	                 aa(list(X38), list(X38)), 
8.81/8.97	                 app_encode_app(X38, fun(list(X38), list(X38)), 
8.81/8.97	                   app_encode_app(fun(X38, fun(list(X38), list(X38))), 
8.81/8.97	                     app_encode_fun(X38, fun(list(X38), list(X38))), 
8.81/8.97	                     aa(X38, fun(list(X38), list(X38))), cons(X38)), X42)), 
8.81/8.97	               X43)),
8.81/8.97	    inference('cnf', [status(esa)], [zf_stmt_51])).
8.81/8.97	tff('2', plain,
8.81/8.97	    ![X38 : $tType, X41 : fun(X38, bool), X42 : X38, X43 : list(X38)]:
8.81/8.97	      (~ app_encode_app(list(X38), $o, 
8.81/8.97	           app_encode_app(fun(X38, bool), app_encode_fun(list(X38), $o), 
8.81/8.97	             listsp(X38), X41), X43)
8.81/8.97	       | ~ app_encode_app(bool, $o, pp, 
8.81/8.97	             app_encode_app(X38, bool, 
8.81/8.97	               app_encode_app(fun(X38, bool), app_encode_fun(X38, bool), 
8.81/8.97	                 aa(X38, bool), X41), X42))
8.81/8.97	       | app_encode_app(list(X38), $o, 
8.81/8.97	           app_encode_app(fun(X38, bool), app_encode_fun(list(X38), $o), 
8.81/8.97	             listsp(X38), X41), 
8.81/8.97	           app_encode_app(list(X38), list(X38), 
8.81/8.97	             app_encode_app(fun(list(X38), list(X38)), 
8.81/8.97	               app_encode_fun(list(X38), list(X38)), 
8.81/8.97	               aa(list(X38), list(X38)), 
8.81/8.97	               app_encode_app(X38, fun(list(X38), list(X38)), 
8.81/8.97	                 app_encode_app(fun(X38, fun(list(X38), list(X38))), 
8.81/8.97	                   app_encode_fun(X38, fun(list(X38), list(X38))), 
8.81/8.97	                   aa(X38, fun(list(X38), list(X38))), cons(X38)), X42)), 
8.81/8.97	             X43))),
8.81/8.97	    inference('simplify', [status(thm)], ['1'])).
8.81/8.97	tff('3', plain,
8.81/8.97	    ![X0 : $tType, X1 : X0, X2 : fun(X0, bool)]:
8.81/8.97	      (app_encode_app(list(X0), $o, 
8.81/8.97	         app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
8.81/8.97	           listsp(X0), X2), 
8.81/8.97	         app_encode_app(list(X0), list(X0), 
8.81/8.97	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
8.81/8.97	             insert(X0), X1), nil(X0)))
8.81/8.97	       | ~ app_encode_app(bool, $o, pp, 
8.81/8.97	             app_encode_app(X0, bool, 
8.81/8.97	               app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
8.81/8.97	                 aa(X0, bool), X2), X1))
8.81/8.97	       | ~ app_encode_app(list(X0), $o, 
8.81/8.97	             app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
8.81/8.97	               listsp(X0), X2), nil(X0))),
8.81/8.97	    inference('sup+', [status(thm)], ['0', '2'])).
8.81/8.97	tff(zf_stmt_42, axiom,
8.81/8.97	  (![A:$tType,A1:fun(A,bool)]:
8.81/8.97	     app_encode_app(list(A),$o,
8.81/8.97	                    app_encode_app(fun(A,bool),app_encode_fun(list(A),$o),
8.81/8.97	                                   listsp(A),A1),
8.81/8.97	                    nil(A)))).
8.81/8.97	tff('4', plain,
8.81/8.97	    ![X5 : $tType, X6 : fun(X5, bool)]:
8.81/8.97	      app_encode_app(list(X5), $o, 
8.81/8.97	        app_encode_app(fun(X5, bool), app_encode_fun(list(X5), $o), 
8.81/8.97	          listsp(X5), X6), nil(X5)),
8.81/8.97	    inference('cnf', [status(esa)], [zf_stmt_42])).
8.81/8.97	tff('5', plain,
8.81/8.97	    ![X0 : $tType, X1 : X0, X2 : fun(X0, bool)]:
8.81/8.97	      (app_encode_app(list(X0), $o, 
8.81/8.97	         app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
8.81/8.97	           listsp(X0), X2), 
8.81/8.97	         app_encode_app(list(X0), list(X0), 
8.81/8.97	           app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
8.81/8.97	             insert(X0), X1), nil(X0)))
8.81/8.97	       | ~ app_encode_app(bool, $o, pp, 
8.81/8.97	             app_encode_app(X0, bool, 
8.81/8.97	               app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
8.81/8.97	                 aa(X0, bool), X2), X1))
8.81/8.97	       | ~ $true),
8.81/8.97	    inference('demod', [status(thm)], ['3', '4'])).
8.81/8.97	tff('6', plain,
8.81/8.97	    ![X0 : $tType, X1 : X0, X2 : fun(X0, bool)]:
8.81/8.97	      (~ app_encode_app(bool, $o, pp, 
8.81/8.97	           app_encode_app(X0, bool, 
8.81/8.97	             app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
8.81/8.97	               aa(X0, bool), X2), X1))
8.81/8.97	       | app_encode_app(list(X0), $o, 
8.81/8.97	           app_encode_app(fun(X0, bool), app_encode_fun(list(X0), $o), 
8.81/8.97	             listsp(X0), X2), 
8.81/8.97	           app_encode_app(list(X0), list(X0), 
8.81/8.97	             app_encode_app(X0, app_encode_fun(list(X0), list(X0)), 
8.81/8.97	               insert(X0), X1), nil(X0)))),
8.81/8.97	    inference('simplify', [status(thm)], ['5'])).
8.81/8.97	tff(zf_stmt_157, conjecture,
8.81/8.97	  (app_encode_app(list(dB),$o,
8.81/8.97	                  app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
8.81/8.97	                                 listsp(dB),it),
8.81/8.97	                  app_encode_app(list(dB),list(dB),
8.81/8.97	                                 app_encode_app(fun(list(dB),list(dB)),
8.81/8.97	                                                app_encode_fun(list(dB),
8.81/8.97	                                                               list(dB)),
8.81/8.97	                                                aa(list(dB),list(dB)),
8.81/8.97	                                                app_encode_app(dB,
8.81/8.97	                                                               fun(list(dB),
8.81/8.97	                                                                   list(dB)),
8.81/8.97	                                                               app_encode_app(
8.81/8.97	                                                               fun(dB,
8.81/8.97	                                                                   fun(
8.81/8.97	                                                                   list(dB),
8.81/8.97	                                                                   list(dB))),
8.81/8.97	                                                               app_encode_fun(
8.81/8.97	                                                               dB,
8.81/8.97	                                                               fun(list(dB),
8.81/8.97	                                                                   list(dB))),
8.81/8.97	                                                               aa(dB,
8.81/8.97	                                                                  fun(
8.81/8.97	                                                                  list(dB),
8.81/8.97	                                                                  list(dB))),
8.81/8.97	                                                               cons(dB)),
8.81/8.97	                                                               app_encode_app(
8.81/8.97	                                                               nat,dB,var,i))),
8.81/8.97	                                 nil(dB))))).
8.81/8.97	tff(zf_stmt_0, negated_conjecture,
8.81/8.97	  (~
8.81/8.97	    app_encode_app(list(dB),$o,
8.81/8.97	                   app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
8.81/8.97	                                  listsp(dB),it),
8.81/8.97	                   app_encode_app(list(dB),list(dB),
8.81/8.97	                                  app_encode_app(fun(list(dB),list(dB)),
8.81/8.97	                                                 app_encode_fun(list(dB),
8.81/8.97	                                                                list(dB)),
8.81/8.97	                                                 aa(list(dB),list(dB)),
8.81/8.97	                                                 app_encode_app(dB,
8.81/8.97	                                                                fun(list(dB),
8.81/8.97	                                                                    list(dB)),
8.81/8.97	                                                                app_encode_app(
8.81/8.97	                                                                fun(dB,
8.81/8.97	                                                                    fun(
8.81/8.97	                                                                    list(dB),
8.81/8.97	                                                                    list(dB))),
8.81/8.97	                                                                app_encode_fun(
8.81/8.97	                                                                dB,
8.81/8.97	                                                                fun(list(dB),
8.81/8.97	                                                                    list(dB))),
8.81/8.97	                                                                aa(dB,
8.81/8.97	                                                                   fun(
8.81/8.97	                                                                   list(dB),
8.81/8.97	                                                                   list(dB))),
8.81/8.97	                                                                cons(dB)),
8.81/8.97	                                                                app_encode_app(
8.81/8.97	                                                                nat,dB,var,i))),
8.81/8.97	                                  nil(dB))))).
8.81/8.97	tff('7', plain,
8.81/8.97	    ~ app_encode_app(list(dB), $o, 
8.81/8.97	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
8.81/8.97	          listsp(dB), it), 
8.81/8.97	        app_encode_app(list(dB), list(dB), 
8.81/8.97	          app_encode_app(fun(list(dB), list(dB)), 
8.81/8.97	            app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
8.81/8.97	            app_encode_app(dB, fun(list(dB), list(dB)), 
8.81/8.97	              app_encode_app(fun(dB, fun(list(dB), list(dB))), 
8.81/8.97	                app_encode_fun(dB, fun(list(dB), list(dB))), 
8.81/8.97	                aa(dB, fun(list(dB), list(dB))), cons(dB)), 
8.81/8.97	              app_encode_app(nat, dB, var, i))), nil(dB))),
8.81/8.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.81/8.97	tff('8', plain,
8.81/8.97	    ~ app_encode_app(list(dB), $o, 
8.81/8.97	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
8.81/8.97	          listsp(dB), it), 
8.81/8.97	        app_encode_app(list(dB), list(dB), 
8.81/8.97	          app_encode_app(dB, app_encode_fun(list(dB), list(dB)), insert(dB), 
8.81/8.97	            app_encode_app(nat, dB, var, i)), nil(dB))),
8.81/8.97	    inference('demod', [status(thm)], ['7', '0'])).
8.81/8.97	tff('9', plain,
8.81/8.97	    (~ $true
8.81/8.97	     | ~ app_encode_app(bool, $o, pp, 
8.81/8.97	           app_encode_app(dB, bool, 
8.81/8.97	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.81/8.97	               aa(dB, bool), it), app_encode_app(nat, dB, var, i)))),
8.81/8.97	    inference('sup-', [status(thm)], ['6', '8'])).
8.81/8.97	tff(zf_stmt_41, axiom,
8.81/8.97	  (![N2:nat]:
8.81/8.97	     app_encode_app(bool,$o,pp,
8.81/8.97	                    app_encode_app(dB,bool,
8.81/8.97	                                   app_encode_app(fun(dB,bool),
8.81/8.97	                                                  app_encode_fun(dB,bool),
8.81/8.97	                                                  aa(dB,bool),it),
8.81/8.97	                                   app_encode_app(nat,dB,var,N2))))).
8.81/8.97	tff('10', plain,
8.81/8.97	    ![X4 : nat]:
8.81/8.97	      app_encode_app(bool, $o, pp, 
8.81/8.97	        app_encode_app(dB, bool, 
8.81/8.97	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.81/8.97	            aa(dB, bool), it), app_encode_app(nat, dB, var, X4))),
8.81/8.97	    inference('cnf', [status(esa)], [zf_stmt_41])).
8.81/8.97	tff('11', plain, (~ $true | ~ $true),
8.81/8.97	    inference('demod', [status(thm)], ['9', '10'])).
8.81/8.97	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
8.81/8.97	
8.81/8.97	% SZS output end Refutation
8.81/8.97	EOF
