0.00/0.00	% File    : /export/starexec/sandbox2/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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n069.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 14:39:39 CST 2018
0.63/0.80	% done 678 iterations in 0.597s
0.63/0.80	% SZS status Theorem for 'stdin'
0.63/0.80	% SZS output start Refutation
0.63/0.80	tff(zf_stmt_156, conjecture,
0.63/0.80	  ((a != aa) | (na != app_encode_app(nat,msg,nonce,nAa)) | (b != ba) | 
0.63/0.80	   (k != kab) | 
0.63/0.80	   (x !=
0.63/0.80	    app_encode_app(msg,msg,
0.63/0.80	                   app_encode_app(nat,app_encode_fun(msg,msg),crypt,
0.63/0.80	                                  app_encode_app(agent,nat,shrK,ba)),
0.63/0.80	                   app_encode_app(msg,msg,
0.63/0.80	                                  app_encode_app(msg,app_encode_fun(msg,msg),
0.63/0.80	                                                 mPair,
0.63/0.80	                                                 app_encode_app(nat,msg,key,
0.63/0.80	                                                                kab)),
0.63/0.80	                                  app_encode_app(agent,msg,agent1,aa)))) | 
0.63/0.80	   (~
0.63/0.80	     app_encode_app(fun(msg,bool),$o,
0.63/0.80	                    app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
0.63/0.80	                                   member(msg),
0.63/0.80	                                   app_encode_app(msg,msg,
0.63/0.80	                                                  app_encode_app(nat,
0.63/0.80	                                                                 app_encode_fun(
0.63/0.80	                                                                 msg,msg),
0.63/0.80	                                                                 crypt,kab),
0.63/0.80	                                                  app_encode_app(nat,msg,
0.63/0.80	                                                                 nonce,nb))),
0.63/0.80	                    app_encode_app(fun(msg,bool),fun(msg,bool),parts,
0.63/0.80	                                   app_encode_app(list(event),fun(msg,bool),
0.63/0.80	                                                  app_encode_app(agent,
0.63/0.80	                                                                 app_encode_fun(
0.63/0.80	                                                                 list(event),
0.63/0.80	                                                                 fun(
0.63/0.80	                                                                 msg,bool)),
0.63/0.80	                                                                 knows,spy),
0.63/0.80	                                                  evs2)))) | 
0.63/0.80	   (?[A:agent]:
0.63/0.80	      app_encode_app(fun(event,bool),$o,
0.63/0.80	                     app_encode_app(event,app_encode_fun(fun(event,bool),$o),
0.63/0.80	                                    member(event),
0.63/0.80	                                    app_encode_app(msg,event,
0.63/0.80	                                                   app_encode_app(agent,
0.63/0.80	                                                                  app_encode_fun(
0.63/0.80	                                                                  msg,event),
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  agent,
0.63/0.80	                                                                  app_encode_fun(
0.63/0.80	                                                                  agent,
0.63/0.80	                                                                  app_encode_fun(
0.63/0.80	                                                                  msg,event)),
0.63/0.80	                                                                  says,A),ba),
0.63/0.80	                                                   app_encode_app(msg,msg,
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  nat,
0.63/0.80	                                                                  app_encode_fun(
0.63/0.80	                                                                  msg,msg),
0.63/0.80	                                                                  crypt,
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  agent,nat,
0.63/0.80	                                                                  shrK,ba)),
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  msg,msg,
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  msg,
0.63/0.80	                                                                  app_encode_fun(
0.63/0.80	                                                                  msg,msg),
0.63/0.80	                                                                  mPair,
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  nat,msg,
0.63/0.80	                                                                  key,kab)),
0.63/0.80	                                                                  app_encode_app(
0.63/0.80	                                                                  agent,msg,
0.63/0.80	                                                                  agent1,aa))))),
0.63/0.80	                     app_encode_app(list(event),fun(event,bool),set(event),
0.63/0.80	                                    evs2))))).
0.63/0.80	tff(zf_stmt_0, negated_conjecture,
0.63/0.80	  (~
0.63/0.80	    ((a != aa) | (na != app_encode_app(nat,msg,nonce,nAa)) | (b != ba) | 
0.63/0.80	     (k != kab) | 
0.63/0.80	     (x !=
0.63/0.80	      app_encode_app(msg,msg,
0.63/0.80	                     app_encode_app(nat,app_encode_fun(msg,msg),crypt,
0.63/0.80	                                    app_encode_app(agent,nat,shrK,ba)),
0.63/0.80	                     app_encode_app(msg,msg,
0.63/0.80	                                    app_encode_app(msg,
0.63/0.80	                                                   app_encode_fun(msg,msg),
0.63/0.80	                                                   mPair,
0.63/0.80	                                                   app_encode_app(nat,msg,
0.63/0.80	                                                                  key,kab)),
0.63/0.80	                                    app_encode_app(agent,msg,agent1,aa)))) | 
0.63/0.80	     (~
0.63/0.80	       app_encode_app(fun(msg,bool),$o,
0.63/0.80	                      app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
0.63/0.80	                                     member(msg),
0.63/0.80	                                     app_encode_app(msg,msg,
0.63/0.80	                                                    app_encode_app(nat,
0.63/0.80	                                                                   app_encode_fun(
0.63/0.80	                                                                   msg,msg),
0.63/0.80	                                                                   crypt,kab),
0.63/0.80	                                                    app_encode_app(nat,msg,
0.63/0.80	                                                                   nonce,nb))),
0.63/0.80	                      app_encode_app(fun(msg,bool),fun(msg,bool),parts,
0.63/0.80	                                     app_encode_app(list(event),
0.63/0.80	                                                    fun(msg,bool),
0.63/0.80	                                                    app_encode_app(agent,
0.63/0.80	                                                                   app_encode_fun(
0.63/0.80	                                                                   list(
0.63/0.80	                                                                   event),
0.63/0.80	                                                                   fun(
0.63/0.80	                                                                   msg,bool)),
0.63/0.80	                                                                   knows,spy),
0.63/0.80	                                                    evs2)))) | 
0.63/0.80	     (?[A:agent]:
0.63/0.80	        app_encode_app(fun(event,bool),$o,
0.63/0.80	                       app_encode_app(event,
0.63/0.80	                                      app_encode_fun(fun(event,bool),$o),
0.63/0.80	                                      member(event),
0.63/0.80	                                      app_encode_app(msg,event,
0.63/0.80	                                                     app_encode_app(agent,
0.63/0.80	                                                                    app_encode_fun(
0.63/0.80	                                                                    msg,event),
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    agent,
0.63/0.80	                                                                    app_encode_fun(
0.63/0.80	                                                                    agent,
0.63/0.80	                                                                    app_encode_fun(
0.63/0.80	                                                                    msg,event)),
0.63/0.80	                                                                    says,A),
0.63/0.80	                                                                    ba),
0.63/0.80	                                                     app_encode_app(msg,msg,
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    nat,
0.63/0.80	                                                                    app_encode_fun(
0.63/0.80	                                                                    msg,msg),
0.63/0.80	                                                                    crypt,
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    agent,
0.63/0.80	                                                                    nat,shrK,
0.63/0.80	                                                                    ba)),
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    msg,msg,
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    msg,
0.63/0.80	                                                                    app_encode_fun(
0.63/0.80	                                                                    msg,msg),
0.63/0.80	                                                                    mPair,
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    nat,msg,
0.63/0.80	                                                                    key,kab)),
0.63/0.80	                                                                    app_encode_app(
0.63/0.80	                                                                    agent,
0.63/0.80	                                                                    msg,
0.63/0.80	                                                                    agent1,aa))))),
0.63/0.80	                       app_encode_app(list(event),fun(event,bool),set(event),
0.63/0.80	                                      evs2)))))).
0.63/0.80	tff('0', plain,
0.63/0.80	    app_encode_app(fun(msg, bool), $o, 
0.63/0.80	      app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
0.63/0.80	        app_encode_app(msg, msg, 
0.63/0.80	          app_encode_app(nat, app_encode_fun(msg, msg), crypt, kab), 
0.63/0.80	          app_encode_app(nat, msg, nonce, nb))), 
0.63/0.80	      app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
0.63/0.80	        app_encode_app(list(event), fun(msg, bool), 
0.63/0.80	          app_encode_app(agent, app_encode_fun(list(event), fun(msg, bool)), 
0.63/0.80	            knows, spy), evs2))),
0.63/0.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.63/0.80	tff(zf_stmt_131, axiom,
0.63/0.80	  (![H:fun(msg,bool),Xa:msg,Ka:nat]:
0.63/0.80	     (app_encode_app(fun(msg,bool),$o,
0.63/0.80	                     app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
0.63/0.80	                                    member(msg),
0.63/0.80	                                    app_encode_app(msg,msg,
0.63/0.80	                                                   app_encode_app(nat,
0.63/0.80	                                                                  app_encode_fun(
0.63/0.80	                                                                  msg,msg),
0.63/0.80	                                                                  crypt,Ka),
0.63/0.80	                                                   Xa)),
0.63/0.80	                     H) =>
0.63/0.80	      (app_encode_app(fun(nat,bool),$o,
0.63/0.80	                      app_encode_app(nat,app_encode_fun(fun(nat,bool),$o),
0.63/0.80	                                     member(nat),Ka),
0.63/0.80	                      symKeys) =>
0.63/0.80	       app_encode_app(fun(nat,bool),$o,
0.63/0.80	                      app_encode_app(nat,app_encode_fun(fun(nat,bool),$o),
0.63/0.80	                                     member(nat),Ka),
0.63/0.80	                      app_encode_app(fun(msg,bool),fun(nat,bool),keysFor,H)))))).
0.63/0.80	tff('1', plain,
0.63/0.80	    ![X268 : nat, X269 : fun(msg, bool), X270 : msg]:
0.63/0.80	      (~ app_encode_app(fun(nat, bool), $o, 
0.63/0.80	           app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	             member(nat), X268), symKeys)
0.63/0.80	       | app_encode_app(fun(nat, bool), $o, 
0.63/0.80	           app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	             member(nat), X268), 
0.63/0.80	           app_encode_app(fun(msg, bool), fun(nat, bool), keysFor, X269))
0.63/0.80	       | ~ app_encode_app(fun(msg, bool), $o, 
0.63/0.80	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
0.63/0.80	               member(msg), 
0.63/0.80	               app_encode_app(msg, msg, 
0.63/0.80	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, X268), 
0.63/0.80	                 X270)), X269)),
0.63/0.80	    inference('cnf', [status(esa)], [zf_stmt_131])).
0.63/0.80	tff('2', plain,
0.63/0.80	    (~ $true
0.63/0.80	     | app_encode_app(fun(nat, bool), $o, 
0.63/0.80	         app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	           member(nat), kab), 
0.63/0.80	         app_encode_app(fun(msg, bool), fun(nat, bool), keysFor, 
0.63/0.80	           app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
0.63/0.80	             app_encode_app(list(event), fun(msg, bool), 
0.63/0.80	               app_encode_app(agent, 
0.63/0.80	                 app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
0.63/0.80	               evs2))))
0.63/0.80	     | ~ app_encode_app(fun(nat, bool), $o, 
0.63/0.80	           app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	             member(nat), kab), symKeys)),
0.63/0.80	    inference('sup-', [status(thm)], ['0', '1'])).
0.63/0.80	tff(zf_stmt_152, axiom,
0.63/0.80	  (app_encode_app(fun(nat,bool),$o,
0.63/0.80	                  app_encode_app(nat,app_encode_fun(fun(nat,bool),$o),
0.63/0.80	                                 member(nat),kab),
0.63/0.80	                  symKeys))).
0.63/0.80	tff('3', plain,
0.63/0.80	    app_encode_app(fun(nat, bool), $o, 
0.63/0.80	      app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), member(nat), 
0.63/0.80	        kab), symKeys),
0.63/0.80	    inference('cnf', [status(esa)], [zf_stmt_152])).
0.63/0.80	tff('4', plain,
0.63/0.80	    (~ $true
0.63/0.80	     | app_encode_app(fun(nat, bool), $o, 
0.63/0.80	         app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	           member(nat), kab), 
0.63/0.80	         app_encode_app(fun(msg, bool), fun(nat, bool), keysFor, 
0.63/0.80	           app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
0.63/0.80	             app_encode_app(list(event), fun(msg, bool), 
0.63/0.80	               app_encode_app(agent, 
0.63/0.80	                 app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
0.63/0.80	               evs2))))
0.63/0.80	     | ~ $true),
0.63/0.80	    inference('demod', [status(thm)], ['2', '3'])).
0.63/0.80	tff('5', plain,
0.63/0.80	    app_encode_app(fun(nat, bool), $o, 
0.63/0.80	      app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), member(nat), 
0.63/0.80	        kab), 
0.63/0.80	      app_encode_app(fun(msg, bool), fun(nat, bool), keysFor, 
0.63/0.80	        app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
0.63/0.80	          app_encode_app(list(event), fun(msg, bool), 
0.63/0.80	            app_encode_app(agent, 
0.63/0.80	              app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs2)))),
0.63/0.80	    inference('simplify', [status(thm)], ['4'])).
0.63/0.80	tff(zf_stmt_126, axiom,
0.63/0.80	  (![Evsa:list(event),Ka:nat]:
0.63/0.80	     ((~
0.63/0.80	        app_encode_app(fun(msg,bool),$o,
0.63/0.80	                       app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
0.63/0.80	                                      member(msg),
0.63/0.80	                                      app_encode_app(nat,msg,key,Ka)),
0.63/0.80	                       app_encode_app(list(event),fun(msg,bool),used,Evsa))) =>
0.63/0.80	      (app_encode_app(fun(nat,bool),$o,
0.63/0.80	                      app_encode_app(nat,app_encode_fun(fun(nat,bool),$o),
0.63/0.80	                                     member(nat),Ka),
0.63/0.80	                      symKeys) =>
0.63/0.80	       (app_encode_app(fun(list(event),bool),$o,
0.63/0.80	                       app_encode_app(list(event),
0.63/0.80	                                      app_encode_fun(fun(list(event),bool),$o),
0.63/0.80	                                      member(list(event)),Evsa),
0.63/0.80	                       nS_Sha254967238shared) =>
0.63/0.80	        (~
0.63/0.80	          app_encode_app(fun(nat,bool),$o,
0.63/0.80	                         app_encode_app(nat,app_encode_fun(fun(nat,bool),$o),
0.63/0.80	                                        member(nat),Ka),
0.63/0.80	                         app_encode_app(fun(msg,bool),fun(nat,bool),keysFor,
0.63/0.80	                                        app_encode_app(fun(msg,bool),
0.63/0.80	                                                       fun(msg,bool),parts,
0.63/0.80	                                                       app_encode_app(
0.63/0.80	                                                       list(event),
0.63/0.80	                                                       fun(msg,bool),
0.63/0.80	                                                       app_encode_app(
0.63/0.80	                                                       agent,
0.63/0.80	                                                       app_encode_fun(
0.63/0.80	                                                       list(event),
0.63/0.80	                                                       fun(msg,bool)),knows,
0.63/0.80	                                                       spy),Evsa)))))))))).
0.63/0.80	tff('6', plain,
0.63/0.80	    ![X262 : list(event), X263 : nat]:
0.63/0.80	      (~ app_encode_app(fun(list(event), bool), $o, 
0.63/0.80	           app_encode_app(list(event), 
0.63/0.80	             app_encode_fun(fun(list(event), bool), $o), 
0.63/0.80	             member(list(event)), X262), nS_Sha254967238shared)
0.63/0.80	       | app_encode_app(fun(msg, bool), $o, 
0.63/0.80	           app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
0.63/0.80	             member(msg), app_encode_app(nat, msg, key, X263)), 
0.63/0.80	           app_encode_app(list(event), fun(msg, bool), used, X262))
0.63/0.80	       | ~ app_encode_app(fun(nat, bool), $o, 
0.63/0.80	             app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	               member(nat), X263), 
0.63/0.80	             app_encode_app(fun(msg, bool), fun(nat, bool), keysFor, 
0.63/0.80	               app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
0.63/0.80	                 app_encode_app(list(event), fun(msg, bool), 
0.63/0.80	                   app_encode_app(agent, 
0.63/0.80	                     app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
0.63/0.80	                   X262))))
0.63/0.80	       | ~ app_encode_app(fun(nat, bool), $o, 
0.63/0.80	             app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	               member(nat), X263), symKeys)),
0.63/0.80	    inference('cnf', [status(esa)], [zf_stmt_126])).
0.63/0.80	tff('7', plain,
0.63/0.80	    (~ $true
0.63/0.80	     | ~ app_encode_app(fun(nat, bool), $o, 
0.63/0.80	           app_encode_app(nat, app_encode_fun(fun(nat, bool), $o), 
0.63/0.80	             member(nat), kab), symKeys)
0.63/0.80	     | app_encode_app(fun(msg, bool), $o, 
0.63/0.80	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
0.63/0.80	           member(msg), app_encode_app(nat, msg, key, kab)), 
0.63/0.80	         app_encode_app(list(event), fun(msg, bool), used, evs2))
0.63/0.80	     | ~ app_encode_app(fun(list(event), bool), $o, 
0.63/0.80	           app_encode_app(list(event), 
0.63/0.80	             app_encode_fun(fun(list(event), bool), $o), 
0.63/0.80	             member(list(event)), evs2), nS_Sha254967238shared)),
0.63/0.80	    inference('sup-', [status(thm)], ['5', '6'])).
0.63/0.80	tff(zf_stmt_150, axiom,
0.63/0.80	  (app_encode_app(fun(list(event),bool),$o,
0.63/0.80	                  app_encode_app(list(event),
0.63/0.80	                                 app_encode_fun(fun(list(event),bool),$o),
0.63/0.80	                                 member(list(event)),evs2),
0.63/0.80	                  nS_Sha254967238shared))).
0.63/0.80	tff('8', plain,
0.63/0.80	    app_encode_app(fun(list(event), bool), $o, 
0.63/0.80	      app_encode_app(list(event), 
0.63/0.80	        app_encode_fun(fun(list(event), bool), $o), member(list(event)), 
0.63/0.80	        evs2), nS_Sha254967238shared),
0.63/0.80	    inference('cnf', [status(esa)], [zf_stmt_150])).
0.63/0.80	tff('9', plain,
0.63/0.80	    (~ $true
0.63/0.80	     | ~ $true
0.63/0.80	     | app_encode_app(fun(msg, bool), $o, 
0.63/0.80	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
0.63/0.80	           member(msg), app_encode_app(nat, msg, key, kab)), 
0.63/0.80	         app_encode_app(list(event), fun(msg, bool), used, evs2))
0.63/0.80	     | ~ $true),
0.63/0.80	    inference('demod', [status(thm)], ['7', '3', '8'])).
0.63/0.80	tff('10', plain,
0.63/0.80	    app_encode_app(fun(msg, bool), $o, 
0.63/0.80	      app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
0.63/0.80	        app_encode_app(nat, msg, key, kab)), 
0.63/0.80	      app_encode_app(list(event), fun(msg, bool), used, evs2)),
0.63/0.80	    inference('simplify', [status(thm)], ['9'])).
0.63/0.80	tff(zf_stmt_151, axiom,
0.63/0.80	  (~
0.63/0.80	    app_encode_app(fun(msg,bool),$o,
0.63/0.80	                   app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
0.63/0.80	                                  member(msg),app_encode_app(nat,msg,key,kab)),
0.63/0.80	                   app_encode_app(list(event),fun(msg,bool),used,evs2)))).
0.63/0.80	tff('11', plain,
0.63/0.80	    ~ app_encode_app(fun(msg, bool), $o, 
0.63/0.80	        app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
0.63/0.80	          app_encode_app(nat, msg, key, kab)), 
0.63/0.80	        app_encode_app(list(event), fun(msg, bool), used, evs2)),
0.63/0.80	    inference('cnf', [status(esa)], [zf_stmt_151])).
0.63/0.80	tff('12', plain, ~ $true, inference('sup-', [status(thm)], ['10', '11'])).
0.63/0.80	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
0.63/0.80	
0.63/0.80	% SZS output end Refutation
0.63/0.80	EOF
