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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n077.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 14:48:39 CST 2018
174.84/175.04	% done 29322 iterations in 174.833s
174.84/175.04	% SZS status Theorem for 'stdin'
174.84/175.04	% SZS output start Refutation
174.84/175.04	tff(zf_stmt_157, axiom,
174.84/175.04	  (app_encode_app(fun(event,bool),$o,
174.84/175.04	                  app_encode_app(event,app_encode_fun(fun(event,bool),$o),
174.84/175.04	                                 member(event),
174.84/175.04	                                 app_encode_app(msg,event,
174.84/175.04	                                                app_encode_app(agent1,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,event),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               agent1,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               agent1,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,event)),
174.84/175.04	                                                               says,s),aa),
174.84/175.04	                                                app_encode_app(msg,msg,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               nat,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,msg),
174.84/175.04	                                                               crypt,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               agent1,nat,
174.84/175.04	                                                               shrK,aa)),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,msg,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,msg),
174.84/175.04	                                                               mPair,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               nat,msg,nonce,
174.84/175.04	                                                               nAa)),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,msg,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,msg),
174.84/175.04	                                                               mPair,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               agent1,msg,
174.84/175.04	                                                               agent,ba)),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,msg,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,msg),
174.84/175.04	                                                               mPair,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               nat,msg,key,ka)),
174.84/175.04	                                                               xa)))))),
174.84/175.04	                  app_encode_app(list(event),fun(event,bool),set(event),evs5)))).
174.84/175.04	tff('0', plain,
174.84/175.04	    app_encode_app(fun(event, bool), $o, 
174.84/175.04	      app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.04	        member(event), 
174.84/175.04	        app_encode_app(msg, event, 
174.84/175.04	          app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	            app_encode_app(agent1, 
174.84/175.04	              app_encode_fun(agent1, app_encode_fun(msg, event)), says, s), 
174.84/175.04	            aa), 
174.84/175.04	          app_encode_app(msg, msg, 
174.84/175.04	            app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	              app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.04	            app_encode_app(msg, msg, 
174.84/175.04	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.04	              app_encode_app(msg, msg, 
174.84/175.04	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                  app_encode_app(agent1, msg, agent, ba)), 
174.84/175.04	                app_encode_app(msg, msg, 
174.84/175.04	                  app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                    app_encode_app(nat, msg, key, ka)), xa)))))), 
174.84/175.04	      app_encode_app(list(event), fun(event, bool), set(event), evs5)),
174.84/175.04	    inference('cnf', [status(esa)], [zf_stmt_157])).
174.84/175.04	tff(zf_stmt_160, conjecture,
174.84/175.04	  ((~
174.84/175.04	     app_encode_app(fun(msg,bool),$o,
174.84/175.04	                    app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.04	                                   member(msg),
174.84/175.04	                                   app_encode_app(msg,msg,
174.84/175.04	                                                  app_encode_app(nat,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,msg),
174.84/175.04	                                                                 crypt,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 agent1,nat,
174.84/175.04	                                                                 shrK,a)),
174.84/175.04	                                                  app_encode_app(msg,msg,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,msg),
174.84/175.04	                                                                 mPair,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 nat,msg,
174.84/175.04	                                                                 nonce,na)),
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,msg,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,msg),
174.84/175.04	                                                                 mPair,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 agent1,msg,
174.84/175.04	                                                                 agent,b)),
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,msg,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,msg),
174.84/175.04	                                                                 mPair,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 nat,msg,key,
174.84/175.04	                                                                 k)),x))))),
174.84/175.04	                    app_encode_app(fun(msg,bool),fun(msg,bool),parts,
174.84/175.04	                                   app_encode_app(list(event),fun(msg,bool),
174.84/175.04	                                                  app_encode_app(agent1,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 list(event),
174.84/175.04	                                                                 fun(
174.84/175.04	                                                                 msg,bool)),
174.84/175.04	                                                                 knows,spy),
174.84/175.04	                                                  evs5)))) | 
174.84/175.04	   (k != ka) | (nb != nBa) | ((a = aa) & (b = ba)) | 
174.84/175.04	   app_encode_app(fun(event,bool),$o,
174.84/175.04	                  app_encode_app(event,app_encode_fun(fun(event,bool),$o),
174.84/175.04	                                 member(event),
174.84/175.04	                                 app_encode_app(msg,event,
174.84/175.04	                                                app_encode_app(agent1,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,event),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               agent1,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               agent1,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,event)),
174.84/175.04	                                                               says,a),b),
174.84/175.04	                                                app_encode_app(msg,msg,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               nat,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,msg),
174.84/175.04	                                                               crypt,ka),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,msg,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               msg,
174.84/175.04	                                                               app_encode_fun(
174.84/175.04	                                                               msg,msg),
174.84/175.04	                                                               mPair,
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               nat,msg,nonce,
174.84/175.04	                                                               nBa)),
174.84/175.04	                                                               app_encode_app(
174.84/175.04	                                                               nat,msg,nonce,
174.84/175.04	                                                               nBa))))),
174.84/175.04	                  app_encode_app(list(event),fun(event,bool),set(event),evs5)))).
174.84/175.04	tff(zf_stmt_0, negated_conjecture,
174.84/175.04	  (~
174.84/175.04	    ((~
174.84/175.04	       app_encode_app(fun(msg,bool),$o,
174.84/175.04	                      app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.04	                                     member(msg),
174.84/175.04	                                     app_encode_app(msg,msg,
174.84/175.04	                                                    app_encode_app(nat,
174.84/175.04	                                                                   app_encode_fun(
174.84/175.04	                                                                   msg,msg),
174.84/175.04	                                                                   crypt,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   agent1,
174.84/175.04	                                                                   nat,shrK,a)),
174.84/175.04	                                                    app_encode_app(msg,msg,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   msg,
174.84/175.04	                                                                   app_encode_fun(
174.84/175.04	                                                                   msg,msg),
174.84/175.04	                                                                   mPair,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   nat,msg,
174.84/175.04	                                                                   nonce,na)),
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   msg,msg,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   msg,
174.84/175.04	                                                                   app_encode_fun(
174.84/175.04	                                                                   msg,msg),
174.84/175.04	                                                                   mPair,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   agent1,
174.84/175.04	                                                                   msg,agent,
174.84/175.04	                                                                   b)),
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   msg,msg,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   msg,
174.84/175.04	                                                                   app_encode_fun(
174.84/175.04	                                                                   msg,msg),
174.84/175.04	                                                                   mPair,
174.84/175.04	                                                                   app_encode_app(
174.84/175.04	                                                                   nat,msg,
174.84/175.04	                                                                   key,k)),x))))),
174.84/175.04	                      app_encode_app(fun(msg,bool),fun(msg,bool),parts,
174.84/175.04	                                     app_encode_app(list(event),
174.84/175.04	                                                    fun(msg,bool),
174.84/175.04	                                                    app_encode_app(agent1,
174.84/175.04	                                                                   app_encode_fun(
174.84/175.04	                                                                   list(
174.84/175.04	                                                                   event),
174.84/175.04	                                                                   fun(
174.84/175.04	                                                                   msg,bool)),
174.84/175.04	                                                                   knows,spy),
174.84/175.04	                                                    evs5)))) | 
174.84/175.04	     (k != ka) | (nb != nBa) | ((a = aa) & (b = ba)) | 
174.84/175.04	     app_encode_app(fun(event,bool),$o,
174.84/175.04	                    app_encode_app(event,app_encode_fun(fun(event,bool),$o),
174.84/175.04	                                   member(event),
174.84/175.04	                                   app_encode_app(msg,event,
174.84/175.04	                                                  app_encode_app(agent1,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,event),
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 agent1,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 agent1,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,event)),
174.84/175.04	                                                                 says,a),b),
174.84/175.04	                                                  app_encode_app(msg,msg,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 nat,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,msg),
174.84/175.04	                                                                 crypt,ka),
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,msg,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 msg,
174.84/175.04	                                                                 app_encode_fun(
174.84/175.04	                                                                 msg,msg),
174.84/175.04	                                                                 mPair,
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 nat,msg,
174.84/175.04	                                                                 nonce,nBa)),
174.84/175.04	                                                                 app_encode_app(
174.84/175.04	                                                                 nat,msg,
174.84/175.04	                                                                 nonce,nBa))))),
174.84/175.04	                    app_encode_app(list(event),fun(event,bool),set(event),
174.84/175.04	                                   evs5))))).
174.84/175.04	tff('1', plain, k = ka, inference('cnf', [status(esa)], [zf_stmt_0])).
174.84/175.04	tff('2', plain,
174.84/175.04	    app_encode_app(fun(event, bool), $o, 
174.84/175.04	      app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.04	        member(event), 
174.84/175.04	        app_encode_app(msg, event, 
174.84/175.04	          app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	            app_encode_app(agent1, 
174.84/175.04	              app_encode_fun(agent1, app_encode_fun(msg, event)), says, s), 
174.84/175.04	            aa), 
174.84/175.04	          app_encode_app(msg, msg, 
174.84/175.04	            app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	              app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.04	            app_encode_app(msg, msg, 
174.84/175.04	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.04	              app_encode_app(msg, msg, 
174.84/175.04	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                  app_encode_app(agent1, msg, agent, ba)), 
174.84/175.04	                app_encode_app(msg, msg, 
174.84/175.04	                  app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                    app_encode_app(nat, msg, key, k)), xa)))))), 
174.84/175.04	      app_encode_app(list(event), fun(event, bool), set(event), evs5)),
174.84/175.04	    inference('demod', [status(thm)], ['0', '1'])).
174.84/175.04	tff(zf_stmt_60, axiom,
174.84/175.04	  (![Evsa:list(event),Xa:msg,Ba:agent1,Aa:agent1]:
174.84/175.04	     (app_encode_app(fun(event,bool),$o,
174.84/175.04	                     app_encode_app(event,app_encode_fun(fun(event,bool),$o),
174.84/175.04	                                    member(event),
174.84/175.04	                                    app_encode_app(msg,event,
174.84/175.04	                                                   app_encode_app(agent1,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  msg,event),
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  agent1,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  agent1,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  msg,event)),
174.84/175.04	                                                                  says,Aa),Ba),
174.84/175.04	                                                   Xa)),
174.84/175.04	                     app_encode_app(list(event),fun(event,bool),set(event),
174.84/175.04	                                    Evsa)) =>
174.84/175.04	      app_encode_app(fun(msg,bool),$o,
174.84/175.04	                     app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.04	                                    member(msg),Xa),
174.84/175.04	                     app_encode_app(fun(msg,bool),fun(msg,bool),parts,
174.84/175.04	                                    app_encode_app(list(event),fun(msg,bool),
174.84/175.04	                                                   app_encode_app(agent1,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  list(event),
174.84/175.04	                                                                  fun(
174.84/175.04	                                                                  msg,bool)),
174.84/175.04	                                                                  knows,spy),
174.84/175.04	                                                   Evsa)))))).
174.84/175.04	tff('3', plain,
174.84/175.04	    ![X32 : msg, X33 : list(event), X34 : agent1, X35 : agent1]:
174.84/175.04	      (app_encode_app(fun(msg, bool), $o, 
174.84/175.04	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	           member(msg), X32), 
174.84/175.04	         app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	             app_encode_app(agent1, 
174.84/175.04	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), X33)))
174.84/175.04	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.04	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.04	               member(event), 
174.84/175.04	               app_encode_app(msg, event, 
174.84/175.04	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	                   app_encode_app(agent1, 
174.84/175.04	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.04	                     says, X34), X35), X32)), 
174.84/175.04	             app_encode_app(list(event), fun(event, bool), set(event), X33))),
174.84/175.04	    inference('cnf', [status(esa)], [zf_stmt_60])).
174.84/175.04	tff('4', plain,
174.84/175.04	    (~ $true
174.84/175.04	     | app_encode_app(fun(msg, bool), $o, 
174.84/175.04	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	           member(msg), 
174.84/175.04	           app_encode_app(msg, msg, 
174.84/175.04	             app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	               app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.04	             app_encode_app(msg, msg, 
174.84/175.04	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                 app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                   app_encode_app(agent1, msg, agent, ba)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                     app_encode_app(nat, msg, key, k)), xa))))), 
174.84/175.04	         app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	             app_encode_app(agent1, 
174.84/175.04	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.04	             evs5)))),
174.84/175.04	    inference('sup-', [status(thm)], ['2', '3'])).
174.84/175.04	tff('5', plain,
174.84/175.04	    app_encode_app(fun(msg, bool), $o, 
174.84/175.04	      app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.04	        app_encode_app(msg, msg, 
174.84/175.04	          app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	            app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.04	          app_encode_app(msg, msg, 
174.84/175.04	            app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	              app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.04	            app_encode_app(msg, msg, 
174.84/175.04	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                app_encode_app(agent1, msg, agent, ba)), 
174.84/175.04	              app_encode_app(msg, msg, 
174.84/175.04	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                  app_encode_app(nat, msg, key, k)), xa))))), 
174.84/175.04	      app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	        app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	          app_encode_app(agent1, 
174.84/175.04	            app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5))),
174.84/175.04	    inference('simplify', [status(thm)], ['4'])).
174.84/175.04	tff(zf_stmt_154, axiom,
174.84/175.04	  (app_encode_app(fun(list(event),bool),$o,
174.84/175.04	                  app_encode_app(list(event),
174.84/175.04	                                 app_encode_fun(fun(list(event),bool),$o),
174.84/175.04	                                 member(list(event)),evs5),
174.84/175.04	                  nS_Sha254967238shared))).
174.84/175.04	tff('6', plain,
174.84/175.04	    app_encode_app(fun(list(event), bool), $o, 
174.84/175.04	      app_encode_app(list(event), 
174.84/175.04	        app_encode_fun(fun(list(event), bool), $o), member(list(event)), 
174.84/175.04	        evs5), nS_Sha254967238shared),
174.84/175.04	    inference('cnf', [status(esa)], [zf_stmt_154])).
174.84/175.04	tff(zf_stmt_117, axiom,
174.84/175.04	  (![Evsa:list(event),Xa:msg,Ka:nat,Ba:agent1,NAa:msg,Aa:agent1]:
174.84/175.04	     (app_encode_app(fun(msg,bool),$o,
174.84/175.04	                     app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.04	                                    member(msg),
174.84/175.04	                                    app_encode_app(msg,msg,
174.84/175.04	                                                   app_encode_app(nat,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  msg,msg),
174.84/175.04	                                                                  crypt,
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  agent1,nat,
174.84/175.04	                                                                  shrK,Aa)),
174.84/175.04	                                                   app_encode_app(msg,msg,
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  msg,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  msg,msg),
174.84/175.04	                                                                  mPair,NAa),
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  msg,msg,
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  msg,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  msg,msg),
174.84/175.04	                                                                  mPair,
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  agent1,msg,
174.84/175.04	                                                                  agent,Ba)),
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  msg,msg,
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  msg,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  msg,msg),
174.84/175.04	                                                                  mPair,
174.84/175.04	                                                                  app_encode_app(
174.84/175.04	                                                                  nat,msg,
174.84/175.04	                                                                  key,Ka)),Xa))))),
174.84/175.04	                     app_encode_app(fun(msg,bool),fun(msg,bool),parts,
174.84/175.04	                                    app_encode_app(list(event),fun(msg,bool),
174.84/175.04	                                                   app_encode_app(agent1,
174.84/175.04	                                                                  app_encode_fun(
174.84/175.04	                                                                  list(event),
174.84/175.04	                                                                  fun(
174.84/175.04	                                                                  msg,bool)),
174.84/175.04	                                                                  knows,spy),
174.84/175.04	                                                   Evsa))) =>
174.84/175.04	      ((~
174.84/175.04	         app_encode_app(fun(agent1,bool),$o,
174.84/175.04	                        app_encode_app(agent1,
174.84/175.04	                                       app_encode_fun(fun(agent1,bool),$o),
174.84/175.04	                                       member(agent1),Aa),
174.84/175.04	                        bad)) =>
174.84/175.04	       (app_encode_app(fun(list(event),bool),$o,
174.84/175.04	                       app_encode_app(list(event),
174.84/175.04	                                      app_encode_fun(fun(list(event),bool),$o),
174.84/175.04	                                      member(list(event)),Evsa),
174.84/175.04	                       nS_Sha254967238shared) =>
174.84/175.04	        app_encode_app(fun(event,bool),$o,
174.84/175.04	                       app_encode_app(event,
174.84/175.04	                                      app_encode_fun(fun(event,bool),$o),
174.84/175.04	                                      member(event),
174.84/175.04	                                      app_encode_app(msg,event,
174.84/175.04	                                                     app_encode_app(agent1,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    msg,event),
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    agent1,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    agent1,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    msg,event)),
174.84/175.04	                                                                    says,
174.84/175.04	                                                                    server),
174.84/175.04	                                                                    Aa),
174.84/175.04	                                                     app_encode_app(msg,msg,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    nat,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    msg,msg),
174.84/175.04	                                                                    crypt,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    agent1,
174.84/175.04	                                                                    nat,shrK,
174.84/175.04	                                                                    Aa)),
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    msg,msg,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    msg,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    msg,msg),
174.84/175.04	                                                                    mPair,NAa),
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    msg,msg,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    msg,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    msg,msg),
174.84/175.04	                                                                    mPair,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    agent1,
174.84/175.04	                                                                    msg,
174.84/175.04	                                                                    agent,Ba)),
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    msg,msg,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    msg,
174.84/175.04	                                                                    app_encode_fun(
174.84/175.04	                                                                    msg,msg),
174.84/175.04	                                                                    mPair,
174.84/175.04	                                                                    app_encode_app(
174.84/175.04	                                                                    nat,msg,
174.84/175.04	                                                                    key,Ka)),
174.84/175.04	                                                                    Xa)))))),
174.84/175.04	                       app_encode_app(list(event),fun(event,bool),set(event),
174.84/175.04	                                      Evsa))))))).
174.84/175.04	tff('7', plain,
174.84/175.04	    ![X203 : list(event), X204 : agent1, X205 : msg, X206 : agent1, 
174.84/175.04	      X207 : nat, X208 : msg]:
174.84/175.04	      (~ app_encode_app(fun(list(event), bool), $o, 
174.84/175.04	           app_encode_app(list(event), 
174.84/175.04	             app_encode_fun(fun(list(event), bool), $o), 
174.84/175.04	             member(list(event)), X203), nS_Sha254967238shared)
174.84/175.04	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.04	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	               member(msg), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X204)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X205), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X206)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X207)), X208))))), 
174.84/175.04	             app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	               app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.04	                 X203)))
174.84/175.04	       | app_encode_app(fun(event, bool), $o, 
174.84/175.04	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.04	             member(event), 
174.84/175.04	             app_encode_app(msg, event, 
174.84/175.04	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.04	                   server), X204), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X204)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X205), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X206)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X207)), X208)))))), 
174.84/175.04	           app_encode_app(list(event), fun(event, bool), set(event), X203))
174.84/175.04	       | app_encode_app(fun(agent1, bool), $o, 
174.84/175.04	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.04	             member(agent1), X204), bad)),
174.84/175.04	    inference('cnf', [status(esa)], [zf_stmt_117])).
174.84/175.04	tff('8', plain,
174.84/175.04	    ![X0 : agent1, X1 : msg, X2 : nat, X3 : agent1, X4 : msg]:
174.84/175.04	      (~ $true
174.84/175.04	       | app_encode_app(fun(agent1, bool), $o, 
174.84/175.04	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.04	             member(agent1), X0), bad)
174.84/175.04	       | app_encode_app(fun(event, bool), $o, 
174.84/175.04	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.04	             member(event), 
174.84/175.04	             app_encode_app(msg, event, 
174.84/175.04	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.04	                   server), X0), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X4), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X3)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X2)), X1)))))), 
174.84/175.04	           app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.04	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.04	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	               member(msg), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X4), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X3)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X2)), X1))))), 
174.84/175.04	             app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	               app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.04	                 evs5)))),
174.84/175.04	    inference('sup-', [status(thm)], ['6', '7'])).
174.84/175.04	tff('9', plain,
174.84/175.04	    ![X0 : agent1, X1 : msg, X2 : nat, X3 : agent1, X4 : msg]:
174.84/175.04	      (~ app_encode_app(fun(msg, bool), $o, 
174.84/175.04	           app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	             member(msg), 
174.84/175.04	             app_encode_app(msg, msg, 
174.84/175.04	               app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                 app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, X4), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                     app_encode_app(agent1, msg, agent, X3)), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(nat, msg, key, X2)), X1))))), 
174.84/175.04	           app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	             app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	               app_encode_app(agent1, 
174.84/175.04	                 app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.04	               evs5)))
174.84/175.04	       | app_encode_app(fun(event, bool), $o, 
174.84/175.04	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.04	             member(event), 
174.84/175.04	             app_encode_app(msg, event, 
174.84/175.04	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.04	                   server), X0), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X4), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X3)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X2)), X1)))))), 
174.84/175.04	           app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.04	       | app_encode_app(fun(agent1, bool), $o, 
174.84/175.04	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.04	             member(agent1), X0), bad)),
174.84/175.04	    inference('simplify', [status(thm)], ['8'])).
174.84/175.04	tff(zf_stmt_126, axiom,
174.84/175.04	  (![A1:$tType,Aa:fun(A1,bool),X2:A1]:
174.84/175.04	     (app_encode_app(fun(A1,bool),$o,
174.84/175.04	                     app_encode_app(A1,app_encode_fun(fun(A1,bool),$o),
174.84/175.04	                                    member(A1),X2),
174.84/175.04	                     Aa) <=>
174.84/175.04	      app_encode_app(bool,$o,pp,
174.84/175.04	                     app_encode_app(A1,bool,
174.84/175.04	                                    app_encode_app(fun(A1,bool),
174.84/175.04	                                                   app_encode_fun(A1,bool),
174.84/175.04	                                                   aa1(A1,bool),Aa),
174.84/175.04	                                    X2))))).
174.84/175.04	tff('10', plain,
174.84/175.04	    ![X250 : $tType, X251 : fun(X250, bool), X252 : X250]:
174.84/175.04	      (app_encode_app(bool, $o, pp, 
174.84/175.04	         app_encode_app(X250, bool, 
174.84/175.04	           app_encode_app(fun(X250, bool), app_encode_fun(X250, bool), 
174.84/175.04	             aa1(X250, bool), X251), X252))
174.84/175.04	       | ~ app_encode_app(fun(X250, bool), $o, 
174.84/175.04	             app_encode_app(X250, app_encode_fun(fun(X250, bool), $o), 
174.84/175.04	               member(X250), X252), X251)),
174.84/175.04	    inference('cnf', [status(esa)], [zf_stmt_126])).
174.84/175.04	tff('11', plain,
174.84/175.04	    ![X0 : msg, X1 : nat, X2 : agent1, X3 : msg, X4 : agent1]:
174.84/175.04	      (~ $true
174.84/175.04	       | app_encode_app(fun(agent1, bool), $o, 
174.84/175.04	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.04	             member(agent1), X4), bad)
174.84/175.04	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.04	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	               member(msg), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X4)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X2)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X1)), X0))))), 
174.84/175.04	             app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	               app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.04	                 evs5)))
174.84/175.04	       | app_encode_app(bool, $o, pp, 
174.84/175.04	           app_encode_app(event, bool, 
174.84/175.04	             app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.04	               aa1(event, bool), 
174.84/175.04	               app_encode_app(list(event), fun(event, bool), set(event), 
174.84/175.04	                 evs5)), 
174.84/175.04	             app_encode_app(msg, event, 
174.84/175.04	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.04	                   server), X4), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X4)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X2)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X1)), X0)))))))),
174.84/175.04	    inference('sup-', [status(thm)], ['9', '10'])).
174.84/175.04	tff('12', plain,
174.84/175.04	    ![X0 : msg, X1 : nat, X2 : agent1, X3 : msg, X4 : agent1]:
174.84/175.04	      (app_encode_app(bool, $o, pp, 
174.84/175.04	         app_encode_app(event, bool, 
174.84/175.04	           app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.04	             aa1(event, bool), 
174.84/175.04	             app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.04	           app_encode_app(msg, event, 
174.84/175.04	             app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	               app_encode_app(agent1, 
174.84/175.04	                 app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.04	                 server), X4), 
174.84/175.04	             app_encode_app(msg, msg, 
174.84/175.04	               app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                 app_encode_app(agent1, nat, shrK, X4)), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                     app_encode_app(agent1, msg, agent, X2)), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(nat, msg, key, X1)), X0)))))))
174.84/175.04	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.04	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.04	               member(msg), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                   app_encode_app(agent1, nat, shrK, X4)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(agent1, msg, agent, X2)), 
174.84/175.04	                     app_encode_app(msg, msg, 
174.84/175.04	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                         app_encode_app(nat, msg, key, X1)), X0))))), 
174.84/175.04	             app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.04	               app_encode_app(list(event), fun(msg, bool), 
174.84/175.04	                 app_encode_app(agent1, 
174.84/175.04	                   app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.04	                 evs5)))
174.84/175.04	       | app_encode_app(fun(agent1, bool), $o, 
174.84/175.04	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.04	             member(agent1), X4), bad)),
174.84/175.04	    inference('simplify', [status(thm)], ['11'])).
174.84/175.04	tff('13', plain,
174.84/175.04	    (~ $true
174.84/175.04	     | app_encode_app(fun(agent1, bool), $o, 
174.84/175.04	         app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.04	           member(agent1), aa), bad)
174.84/175.04	     | app_encode_app(bool, $o, pp, 
174.84/175.04	         app_encode_app(event, bool, 
174.84/175.04	           app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.04	             aa1(event, bool), 
174.84/175.04	             app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.04	           app_encode_app(msg, event, 
174.84/175.04	             app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.04	               app_encode_app(agent1, 
174.84/175.04	                 app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.04	                 server), aa), 
174.84/175.04	             app_encode_app(msg, msg, 
174.84/175.04	               app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.04	                 app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.04	               app_encode_app(msg, msg, 
174.84/175.04	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                   app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.04	                 app_encode_app(msg, msg, 
174.84/175.04	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                     app_encode_app(agent1, msg, agent, ba)), 
174.84/175.04	                   app_encode_app(msg, msg, 
174.84/175.04	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.04	                       app_encode_app(nat, msg, key, k)), xa)))))))),
174.84/175.05	    inference('sup-', [status(thm)], ['5', '12'])).
174.84/175.05	tff('14', plain,
174.84/175.05	    (app_encode_app(bool, $o, pp, 
174.84/175.05	       app_encode_app(event, bool, 
174.84/175.05	         app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.05	           aa1(event, bool), 
174.84/175.05	           app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.05	         app_encode_app(msg, event, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	               server), aa), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	               app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                 app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                     app_encode_app(nat, msg, key, k)), xa)))))))
174.84/175.05	     | app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	         app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	           member(agent1), aa), bad)),
174.84/175.05	    inference('simplify', [status(thm)], ['13'])).
174.84/175.05	tff(zf_stmt_61, axiom,
174.84/175.05	  (![Evsa:list(event),Xa:msg,Ba:agent1,Aa:agent1]:
174.84/175.05	     (app_encode_app(fun(event,bool),$o,
174.84/175.05	                     app_encode_app(event,app_encode_fun(fun(event,bool),$o),
174.84/175.05	                                    member(event),
174.84/175.05	                                    app_encode_app(msg,event,
174.84/175.05	                                                   app_encode_app(agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,event),
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,event)),
174.84/175.05	                                                                  says,Aa),Ba),
174.84/175.05	                                                   Xa)),
174.84/175.05	                     app_encode_app(list(event),fun(event,bool),set(event),
174.84/175.05	                                    Evsa)) =>
174.84/175.05	      app_encode_app(fun(msg,bool),$o,
174.84/175.05	                     app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                    member(msg),Xa),
174.84/175.05	                     app_encode_app(fun(msg,bool),fun(msg,bool),analz,
174.84/175.05	                                    app_encode_app(list(event),fun(msg,bool),
174.84/175.05	                                                   app_encode_app(agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  list(event),
174.84/175.05	                                                                  fun(
174.84/175.05	                                                                  msg,bool)),
174.84/175.05	                                                                  knows,spy),
174.84/175.05	                                                   Evsa)))))).
174.84/175.05	tff('15', plain,
174.84/175.05	    ![X36 : msg, X37 : list(event), X38 : agent1, X39 : agent1]:
174.84/175.05	      (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), X36), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), X37)))
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, X38), X39), X36)), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), X37))),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_61])).
174.84/175.05	tff('16', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	               app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                 app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                     app_encode_app(nat, msg, key, k)), xa))))), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.05	             evs5)))),
174.84/175.05	    inference('sup-', [status(thm)], ['2', '15'])).
174.84/175.05	tff('17', plain,
174.84/175.05	    app_encode_app(fun(msg, bool), $o, 
174.84/175.05	      app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	        app_encode_app(msg, msg, 
174.84/175.05	          app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	            app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.05	          app_encode_app(msg, msg, 
174.84/175.05	            app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	              app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	            app_encode_app(msg, msg, 
174.84/175.05	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	              app_encode_app(msg, msg, 
174.84/175.05	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                  app_encode_app(nat, msg, key, k)), xa))))), 
174.84/175.05	      app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	        app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	          app_encode_app(agent1, 
174.84/175.05	            app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5))),
174.84/175.05	    inference('simplify', [status(thm)], ['16'])).
174.84/175.05	tff(zf_stmt_57, axiom,
174.84/175.05	  (![Evsa:list(event),Xa:msg,Aa:agent1]:
174.84/175.05	     (app_encode_app(fun(msg,bool),$o,
174.84/175.05	                     app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                    member(msg),
174.84/175.05	                                    app_encode_app(msg,msg,
174.84/175.05	                                                   app_encode_app(nat,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,msg),
174.84/175.05	                                                                  crypt,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  agent1,nat,
174.84/175.05	                                                                  shrK,Aa)),
174.84/175.05	                                                   Xa)),
174.84/175.05	                     app_encode_app(fun(msg,bool),fun(msg,bool),analz,
174.84/175.05	                                    app_encode_app(list(event),fun(msg,bool),
174.84/175.05	                                                   app_encode_app(agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  list(event),
174.84/175.05	                                                                  fun(
174.84/175.05	                                                                  msg,bool)),
174.84/175.05	                                                                  knows,spy),
174.84/175.05	                                                   Evsa))) =>
174.84/175.05	      (app_encode_app(fun(agent1,bool),$o,
174.84/175.05	                      app_encode_app(agent1,
174.84/175.05	                                     app_encode_fun(fun(agent1,bool),$o),
174.84/175.05	                                     member(agent1),Aa),
174.84/175.05	                      bad) =>
174.84/175.05	       app_encode_app(fun(msg,bool),$o,
174.84/175.05	                      app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                     member(msg),Xa),
174.84/175.05	                      app_encode_app(fun(msg,bool),fun(msg,bool),analz,
174.84/175.05	                                     app_encode_app(list(event),
174.84/175.05	                                                    fun(msg,bool),
174.84/175.05	                                                    app_encode_app(agent1,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   list(
174.84/175.05	                                                                   event),
174.84/175.05	                                                                   fun(
174.84/175.05	                                                                   msg,bool)),
174.84/175.05	                                                                   knows,spy),
174.84/175.05	                                                    Evsa))))))).
174.84/175.05	tff('18', plain,
174.84/175.05	    ![X28 : msg, X29 : list(event), X30 : agent1]:
174.84/175.05	      (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), X28), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), X29)))
174.84/175.05	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	               member(msg), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                   app_encode_app(agent1, nat, shrK, X30)), X28)), 
174.84/175.05	             app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	               app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	                 app_encode_app(agent1, 
174.84/175.05	                   app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.05	                 X29)))
174.84/175.05	       | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	             app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	               member(agent1), X30), bad)),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_57])).
174.84/175.05	tff('19', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)
174.84/175.05	     | app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	               app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                 app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(nat, msg, key, k)), xa)))), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.05	             evs5)))),
174.84/175.05	    inference('sup-', [status(thm)], ['17', '18'])).
174.84/175.05	tff('20', plain,
174.84/175.05	    (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	       app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	         app_encode_app(msg, msg, 
174.84/175.05	           app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	             app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	               app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                 app_encode_app(nat, msg, key, k)), xa)))), 
174.84/175.05	       app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	         app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	           app_encode_app(agent1, 
174.84/175.05	             app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5)))
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)),
174.84/175.05	    inference('simplify', [status(thm)], ['19'])).
174.84/175.05	tff(zf_stmt_76, axiom,
174.84/175.05	  (![H:fun(msg,bool),Y:msg,Xa:msg]:
174.84/175.05	     (app_encode_app(fun(msg,bool),$o,
174.84/175.05	                     app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                    member(msg),
174.84/175.05	                                    app_encode_app(msg,msg,
174.84/175.05	                                                   app_encode_app(msg,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,msg),
174.84/175.05	                                                                  mPair,Xa),
174.84/175.05	                                                   Y)),
174.84/175.05	                     app_encode_app(fun(msg,bool),fun(msg,bool),analz,H)) =>
174.84/175.05	      (~
174.84/175.05	        (app_encode_app(fun(msg,bool),$o,
174.84/175.05	                        app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                       member(msg),Xa),
174.84/175.05	                        app_encode_app(fun(msg,bool),fun(msg,bool),analz,H)) =>
174.84/175.05	         (~
174.84/175.05	           app_encode_app(fun(msg,bool),$o,
174.84/175.05	                          app_encode_app(msg,
174.84/175.05	                                         app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                         member(msg),Y),
174.84/175.05	                          app_encode_app(fun(msg,bool),fun(msg,bool),analz,H)))))))).
174.84/175.05	tff('21', plain,
174.84/175.05	    ![X80 : msg, X81 : fun(msg, bool), X82 : msg]:
174.84/175.05	      (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), X80), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, X81))
174.84/175.05	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	               member(msg), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, X82), 
174.84/175.05	                 X80)), 
174.84/175.05	             app_encode_app(fun(msg, bool), fun(msg, bool), analz, X81))),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_76])).
174.84/175.05	tff('22', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)
174.84/175.05	     | app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	               app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                 app_encode_app(nat, msg, key, k)), xa))), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.05	             evs5)))),
174.84/175.05	    inference('sup-', [status(thm)], ['20', '21'])).
174.84/175.05	tff('23', plain,
174.84/175.05	    (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	       app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	         app_encode_app(msg, msg, 
174.84/175.05	           app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	             app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	               app_encode_app(nat, msg, key, k)), xa))), 
174.84/175.05	       app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	         app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	           app_encode_app(agent1, 
174.84/175.05	             app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5)))
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)),
174.84/175.05	    inference('simplify', [status(thm)], ['22'])).
174.84/175.05	tff('24', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)
174.84/175.05	     | app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	               app_encode_app(nat, msg, key, k)), xa)), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.05	             evs5)))),
174.84/175.05	    inference('sup-', [status(thm)], ['23', '21'])).
174.84/175.05	tff('25', plain,
174.84/175.05	    (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	       app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	         app_encode_app(msg, msg, 
174.84/175.05	           app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	             app_encode_app(nat, msg, key, k)), xa)), 
174.84/175.05	       app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	         app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	           app_encode_app(agent1, 
174.84/175.05	             app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5)))
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)),
174.84/175.05	    inference('simplify', [status(thm)], ['24'])).
174.84/175.05	tff('26', plain,
174.84/175.05	    ![X80 : msg, X81 : fun(msg, bool), X82 : msg]:
174.84/175.05	      (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), X82), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, X81))
174.84/175.05	       | ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.05	             app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	               member(msg), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, X82), 
174.84/175.05	                 X80)), 
174.84/175.05	             app_encode_app(fun(msg, bool), fun(msg, bool), analz, X81))),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_76])).
174.84/175.05	tff('27', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)
174.84/175.05	     | app_encode_app(fun(msg, bool), $o, 
174.84/175.05	         app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), 
174.84/175.05	           member(msg), app_encode_app(nat, msg, key, k)), 
174.84/175.05	         app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	           app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(list(event), fun(msg, bool)), knows, spy), 
174.84/175.05	             evs5)))),
174.84/175.05	    inference('sup-', [status(thm)], ['25', '26'])).
174.84/175.05	tff('28', plain,
174.84/175.05	    (app_encode_app(fun(msg, bool), $o, 
174.84/175.05	       app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	         app_encode_app(nat, msg, key, k)), 
174.84/175.05	       app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	         app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	           app_encode_app(agent1, 
174.84/175.05	             app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5)))
174.84/175.05	     | ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	             member(agent1), aa), bad)),
174.84/175.05	    inference('simplify', [status(thm)], ['27'])).
174.84/175.05	tff(zf_stmt_158, axiom,
174.84/175.05	  (~
174.84/175.05	    app_encode_app(fun(msg,bool),$o,
174.84/175.05	                   app_encode_app(msg,app_encode_fun(fun(msg,bool),$o),
174.84/175.05	                                  member(msg),app_encode_app(nat,msg,key,k)),
174.84/175.05	                   app_encode_app(fun(msg,bool),fun(msg,bool),analz,
174.84/175.05	                                  app_encode_app(list(event),fun(msg,bool),
174.84/175.05	                                                 app_encode_app(agent1,
174.84/175.05	                                                                app_encode_fun(
174.84/175.05	                                                                list(event),
174.84/175.05	                                                                fun(msg,bool)),
174.84/175.05	                                                                knows,spy),
174.84/175.05	                                                 evs5))))).
174.84/175.05	tff('29', plain,
174.84/175.05	    ~ app_encode_app(fun(msg, bool), $o, 
174.84/175.05	        app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	          app_encode_app(nat, msg, key, k)), 
174.84/175.05	        app_encode_app(fun(msg, bool), fun(msg, bool), analz, 
174.84/175.05	          app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	            app_encode_app(agent1, 
174.84/175.05	              app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5))),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_158])).
174.84/175.05	tff('30', plain,
174.84/175.05	    ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	        app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	          member(agent1), aa), bad),
174.84/175.05	    inference('clc', [status(thm)], ['28', '29'])).
174.84/175.05	tff('31', plain,
174.84/175.05	    app_encode_app(bool, $o, pp, 
174.84/175.05	      app_encode_app(event, bool, 
174.84/175.05	        app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.05	          aa1(event, bool), 
174.84/175.05	          app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.05	        app_encode_app(msg, event, 
174.84/175.05	          app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	            app_encode_app(agent1, 
174.84/175.05	              app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	              server), aa), 
174.84/175.05	          app_encode_app(msg, msg, 
174.84/175.05	            app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	              app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.05	            app_encode_app(msg, msg, 
174.84/175.05	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	              app_encode_app(msg, msg, 
174.84/175.05	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                  app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	                app_encode_app(msg, msg, 
174.84/175.05	                  app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                    app_encode_app(nat, msg, key, k)), xa))))))),
174.84/175.05	    inference('clc', [status(thm)], ['14', '30'])).
174.84/175.05	tff('32', plain,
174.84/175.05	    ![X250 : $tType, X251 : fun(X250, bool), X253 : X250]:
174.84/175.05	      (app_encode_app(fun(X250, bool), $o, 
174.84/175.05	         app_encode_app(X250, app_encode_fun(fun(X250, bool), $o), 
174.84/175.05	           member(X250), X253), X251)
174.84/175.05	       | ~ app_encode_app(bool, $o, pp, 
174.84/175.05	             app_encode_app(X250, bool, 
174.84/175.05	               app_encode_app(fun(X250, bool), app_encode_fun(X250, bool), 
174.84/175.05	                 aa1(X250, bool), X251), X253))),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_126])).
174.84/175.05	tff('33', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | app_encode_app(fun(event, bool), $o, 
174.84/175.05	         app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	           member(event), 
174.84/175.05	           app_encode_app(msg, event, 
174.84/175.05	             app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	               app_encode_app(agent1, 
174.84/175.05	                 app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                 server), aa), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                 app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                     app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(nat, msg, key, k)), xa)))))), 
174.84/175.05	         app_encode_app(list(event), fun(event, bool), set(event), evs5))),
174.84/175.05	    inference('sup-', [status(thm)], ['31', '32'])).
174.84/175.05	tff('34', plain,
174.84/175.05	    app_encode_app(fun(event, bool), $o, 
174.84/175.05	      app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	        member(event), 
174.84/175.05	        app_encode_app(msg, event, 
174.84/175.05	          app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	            app_encode_app(agent1, 
174.84/175.05	              app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	              server), aa), 
174.84/175.05	          app_encode_app(msg, msg, 
174.84/175.05	            app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	              app_encode_app(agent1, nat, shrK, aa)), 
174.84/175.05	            app_encode_app(msg, msg, 
174.84/175.05	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                app_encode_app(nat, msg, nonce, nAa)), 
174.84/175.05	              app_encode_app(msg, msg, 
174.84/175.05	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                  app_encode_app(agent1, msg, agent, ba)), 
174.84/175.05	                app_encode_app(msg, msg, 
174.84/175.05	                  app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                    app_encode_app(nat, msg, key, k)), xa)))))), 
174.84/175.05	      app_encode_app(list(event), fun(event, bool), set(event), evs5)),
174.84/175.05	    inference('simplify', [status(thm)], ['33'])).
174.84/175.05	tff('35', plain,
174.84/175.05	    app_encode_app(fun(msg, bool), $o, 
174.84/175.05	      app_encode_app(msg, app_encode_fun(fun(msg, bool), $o), member(msg), 
174.84/175.05	        app_encode_app(msg, msg, 
174.84/175.05	          app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	            app_encode_app(agent1, nat, shrK, a)), 
174.84/175.05	          app_encode_app(msg, msg, 
174.84/175.05	            app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	              app_encode_app(nat, msg, nonce, na)), 
174.84/175.05	            app_encode_app(msg, msg, 
174.84/175.05	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                app_encode_app(agent1, msg, agent, b)), 
174.84/175.05	              app_encode_app(msg, msg, 
174.84/175.05	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                  app_encode_app(nat, msg, key, k)), x))))), 
174.84/175.05	      app_encode_app(fun(msg, bool), fun(msg, bool), parts, 
174.84/175.05	        app_encode_app(list(event), fun(msg, bool), 
174.84/175.05	          app_encode_app(agent1, 
174.84/175.05	            app_encode_fun(list(event), fun(msg, bool)), knows, spy), evs5))),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_0])).
174.84/175.05	tff('36', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	         app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	           member(agent1), a), bad)
174.84/175.05	     | app_encode_app(bool, $o, pp, 
174.84/175.05	         app_encode_app(event, bool, 
174.84/175.05	           app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.05	             aa1(event, bool), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.05	           app_encode_app(msg, event, 
174.84/175.05	             app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	               app_encode_app(agent1, 
174.84/175.05	                 app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                 server), a), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                 app_encode_app(agent1, nat, shrK, a)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(nat, msg, nonce, na)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                     app_encode_app(agent1, msg, agent, b)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(nat, msg, key, k)), x)))))))),
174.84/175.05	    inference('sup-', [status(thm)], ['35', '12'])).
174.84/175.05	tff('37', plain,
174.84/175.05	    (app_encode_app(bool, $o, pp, 
174.84/175.05	       app_encode_app(event, bool, 
174.84/175.05	         app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.05	           aa1(event, bool), 
174.84/175.05	           app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.05	         app_encode_app(msg, event, 
174.84/175.05	           app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	             app_encode_app(agent1, 
174.84/175.05	               app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	               server), a), 
174.84/175.05	           app_encode_app(msg, msg, 
174.84/175.05	             app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	               app_encode_app(agent1, nat, shrK, a)), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                 app_encode_app(nat, msg, nonce, na)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(agent1, msg, agent, b)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                     app_encode_app(nat, msg, key, k)), x)))))))
174.84/175.05	     | app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	         app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	           member(agent1), a), bad)),
174.84/175.05	    inference('simplify', [status(thm)], ['36'])).
174.84/175.05	tff(zf_stmt_152, axiom,
174.84/175.05	  (~
174.84/175.05	    app_encode_app(fun(agent1,bool),$o,
174.84/175.05	                   app_encode_app(agent1,app_encode_fun(fun(agent1,bool),$o),
174.84/175.05	                                  member(agent1),a),
174.84/175.05	                   bad))).
174.84/175.05	tff('38', plain,
174.84/175.05	    ~ app_encode_app(fun(agent1, bool), $o, 
174.84/175.05	        app_encode_app(agent1, app_encode_fun(fun(agent1, bool), $o), 
174.84/175.05	          member(agent1), a), bad),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_152])).
174.84/175.05	tff('39', plain,
174.84/175.05	    app_encode_app(bool, $o, pp, 
174.84/175.05	      app_encode_app(event, bool, 
174.84/175.05	        app_encode_app(fun(event, bool), app_encode_fun(event, bool), 
174.84/175.05	          aa1(event, bool), 
174.84/175.05	          app_encode_app(list(event), fun(event, bool), set(event), evs5)), 
174.84/175.05	        app_encode_app(msg, event, 
174.84/175.05	          app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	            app_encode_app(agent1, 
174.84/175.05	              app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	              server), a), 
174.84/175.05	          app_encode_app(msg, msg, 
174.84/175.05	            app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	              app_encode_app(agent1, nat, shrK, a)), 
174.84/175.05	            app_encode_app(msg, msg, 
174.84/175.05	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                app_encode_app(nat, msg, nonce, na)), 
174.84/175.05	              app_encode_app(msg, msg, 
174.84/175.05	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                  app_encode_app(agent1, msg, agent, b)), 
174.84/175.05	                app_encode_app(msg, msg, 
174.84/175.05	                  app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                    app_encode_app(nat, msg, key, k)), x))))))),
174.84/175.05	    inference('clc', [status(thm)], ['37', '38'])).
174.84/175.05	tff('40', plain,
174.84/175.05	    (~ $true
174.84/175.05	     | app_encode_app(fun(event, bool), $o, 
174.84/175.05	         app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	           member(event), 
174.84/175.05	           app_encode_app(msg, event, 
174.84/175.05	             app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	               app_encode_app(agent1, 
174.84/175.05	                 app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                 server), a), 
174.84/175.05	             app_encode_app(msg, msg, 
174.84/175.05	               app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                 app_encode_app(agent1, nat, shrK, a)), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                   app_encode_app(nat, msg, nonce, na)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                     app_encode_app(agent1, msg, agent, b)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(nat, msg, key, k)), x)))))), 
174.84/175.05	         app_encode_app(list(event), fun(event, bool), set(event), evs5))),
174.84/175.05	    inference('sup-', [status(thm)], ['39', '32'])).
174.84/175.05	tff('41', plain,
174.84/175.05	    app_encode_app(fun(event, bool), $o, 
174.84/175.05	      app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	        member(event), 
174.84/175.05	        app_encode_app(msg, event, 
174.84/175.05	          app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	            app_encode_app(agent1, 
174.84/175.05	              app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	              server), a), 
174.84/175.05	          app_encode_app(msg, msg, 
174.84/175.05	            app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	              app_encode_app(agent1, nat, shrK, a)), 
174.84/175.05	            app_encode_app(msg, msg, 
174.84/175.05	              app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                app_encode_app(nat, msg, nonce, na)), 
174.84/175.05	              app_encode_app(msg, msg, 
174.84/175.05	                app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                  app_encode_app(agent1, msg, agent, b)), 
174.84/175.05	                app_encode_app(msg, msg, 
174.84/175.05	                  app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                    app_encode_app(nat, msg, key, k)), x)))))), 
174.84/175.05	      app_encode_app(list(event), fun(event, bool), set(event), evs5)),
174.84/175.05	    inference('simplify', [status(thm)], ['40'])).
174.84/175.05	tff(zf_stmt_138, axiom,
174.84/175.05	  (![X1:msg,B:agent1,NA:msg,A:agent1,Evsa:list(event),Xa:msg,Ka:nat,
174.84/175.05	     Ba:agent1,NAa:msg,Aa:agent1]:
174.84/175.05	     (app_encode_app(fun(event,bool),$o,
174.84/175.05	                     app_encode_app(event,app_encode_fun(fun(event,bool),$o),
174.84/175.05	                                    member(event),
174.84/175.05	                                    app_encode_app(msg,event,
174.84/175.05	                                                   app_encode_app(agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,event),
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  agent1,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,event)),
174.84/175.05	                                                                  says,server),
174.84/175.05	                                                                  Aa),
174.84/175.05	                                                   app_encode_app(msg,msg,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  nat,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,msg),
174.84/175.05	                                                                  crypt,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  agent1,nat,
174.84/175.05	                                                                  shrK,Aa)),
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  msg,msg,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  msg,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,msg),
174.84/175.05	                                                                  mPair,NAa),
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  msg,msg,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  msg,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,msg),
174.84/175.05	                                                                  mPair,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  agent1,msg,
174.84/175.05	                                                                  agent,Ba)),
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  msg,msg,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  msg,
174.84/175.05	                                                                  app_encode_fun(
174.84/175.05	                                                                  msg,msg),
174.84/175.05	                                                                  mPair,
174.84/175.05	                                                                  app_encode_app(
174.84/175.05	                                                                  nat,msg,
174.84/175.05	                                                                  key,Ka)),Xa)))))),
174.84/175.05	                     app_encode_app(list(event),fun(event,bool),set(event),
174.84/175.05	                                    Evsa)) =>
174.84/175.05	      (app_encode_app(fun(event,bool),$o,
174.84/175.05	                      app_encode_app(event,
174.84/175.05	                                     app_encode_fun(fun(event,bool),$o),
174.84/175.05	                                     member(event),
174.84/175.05	                                     app_encode_app(msg,event,
174.84/175.05	                                                    app_encode_app(agent1,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   msg,event),
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   agent1,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   agent1,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   msg,event)),
174.84/175.05	                                                                   says,
174.84/175.05	                                                                   server),A),
174.84/175.05	                                                    app_encode_app(msg,msg,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   nat,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   msg,msg),
174.84/175.05	                                                                   crypt,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   agent1,
174.84/175.05	                                                                   nat,shrK,A)),
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   msg,msg,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   msg,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   msg,msg),
174.84/175.05	                                                                   mPair,NA),
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   msg,msg,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   msg,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   msg,msg),
174.84/175.05	                                                                   mPair,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   agent1,
174.84/175.05	                                                                   msg,agent,
174.84/175.05	                                                                   B)),
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   msg,msg,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   msg,
174.84/175.05	                                                                   app_encode_fun(
174.84/175.05	                                                                   msg,msg),
174.84/175.05	                                                                   mPair,
174.84/175.05	                                                                   app_encode_app(
174.84/175.05	                                                                   nat,msg,
174.84/175.05	                                                                   key,Ka)),
174.84/175.05	                                                                   X1)))))),
174.84/175.05	                      app_encode_app(list(event),fun(event,bool),set(event),
174.84/175.05	                                     Evsa)) =>
174.84/175.05	       (app_encode_app(fun(list(event),bool),$o,
174.84/175.05	                       app_encode_app(list(event),
174.84/175.05	                                      app_encode_fun(fun(list(event),bool),$o),
174.84/175.05	                                      member(list(event)),Evsa),
174.84/175.05	                       nS_Sha254967238shared) =>
174.84/175.05	        ((Aa = A) & (NAa = NA) & (Ba = B) & (Xa = X1))))))).
174.84/175.05	tff('42', plain,
174.84/175.05	    ![X299 : agent1, X300 : msg, X301 : agent1, X302 : nat, X303 : msg, 
174.84/175.05	      X304 : list(event), X305 : agent1, X306 : msg, X307 : agent1, 
174.84/175.05	      X308 : msg]:
174.84/175.05	      (~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	             member(event), 
174.84/175.05	             app_encode_app(msg, event, 
174.84/175.05	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                 app_encode_app(agent1, 
174.84/175.05	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                   server), X299), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                   app_encode_app(agent1, nat, shrK, X299)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X300), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(agent1, msg, agent, X301)), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(nat, msg, key, X302)), X303)))))), 
174.84/175.05	           app_encode_app(list(event), fun(event, bool), set(event), X304))
174.84/175.05	       | ~ app_encode_app(fun(list(event), bool), $o, 
174.84/175.05	             app_encode_app(list(event), 
174.84/175.05	               app_encode_fun(fun(list(event), bool), $o), 
174.84/175.05	               member(list(event)), X304), nS_Sha254967238shared)
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, server), X305), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                     app_encode_app(agent1, nat, shrK, X305)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       X306), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(agent1, msg, agent, X307)), 
174.84/175.05	                       app_encode_app(msg, msg, 
174.84/175.05	                         app_encode_app(msg, app_encode_fun(msg, msg), 
174.84/175.05	                           mPair, app_encode_app(nat, msg, key, X302)), X308)))))), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), X304))
174.84/175.05	       | X307 = X301),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_138])).
174.84/175.05	tff('43', plain,
174.84/175.05	    ![X0 : agent1, X1 : msg, X2 : msg, X3 : agent1]:
174.84/175.05	      (~ $true
174.84/175.05	       | X0 = b
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, server), X3), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                     app_encode_app(agent1, nat, shrK, X3)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, X2), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(agent1, msg, agent, X0)), 
174.84/175.05	                       app_encode_app(msg, msg, 
174.84/175.05	                         app_encode_app(msg, app_encode_fun(msg, msg), 
174.84/175.05	                           mPair, app_encode_app(nat, msg, key, k)), X1)))))), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.05	       | ~ app_encode_app(fun(list(event), bool), $o, 
174.84/175.05	             app_encode_app(list(event), 
174.84/175.05	               app_encode_fun(fun(list(event), bool), $o), 
174.84/175.05	               member(list(event)), evs5), nS_Sha254967238shared)),
174.84/175.05	    inference('sup-', [status(thm)], ['41', '42'])).
174.84/175.05	tff('44', plain,
174.84/175.05	    ![X0 : agent1, X1 : msg, X2 : msg, X3 : agent1]:
174.84/175.05	      (~ $true
174.84/175.05	       | X0 = b
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, server), X3), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                     app_encode_app(agent1, nat, shrK, X3)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, X2), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(agent1, msg, agent, X0)), 
174.84/175.05	                       app_encode_app(msg, msg, 
174.84/175.05	                         app_encode_app(msg, app_encode_fun(msg, msg), 
174.84/175.05	                           mPair, app_encode_app(nat, msg, key, k)), X1)))))), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.05	       | ~ $true),
174.84/175.05	    inference('demod', [status(thm)], ['43', '6'])).
174.84/175.05	tff('45', plain,
174.84/175.05	    ![X0 : agent1, X1 : msg, X2 : msg, X3 : agent1]:
174.84/175.05	      (~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	             member(event), 
174.84/175.05	             app_encode_app(msg, event, 
174.84/175.05	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                 app_encode_app(agent1, 
174.84/175.05	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                   server), X3), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                   app_encode_app(agent1, nat, shrK, X3)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X2), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(agent1, msg, agent, X0)), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(nat, msg, key, k)), X1)))))), 
174.84/175.05	           app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.05	       | X0 = b),
174.84/175.05	    inference('simplify', [status(thm)], ['44'])).
174.84/175.05	tff('46', plain, (~ $true | ba = b),
174.84/175.05	    inference('sup-', [status(thm)], ['34', '45'])).
174.84/175.05	tff('47', plain, ba = b, inference('simplify', [status(thm)], ['46'])).
174.84/175.05	tff('48', plain, (a != aa | b != ba),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_0])).
174.84/175.05	tff('49', plain,
174.84/175.05	    ![X299 : agent1, X300 : msg, X301 : agent1, X302 : nat, X303 : msg, 
174.84/175.05	      X304 : list(event), X305 : agent1, X306 : msg, X307 : agent1, 
174.84/175.05	      X308 : msg]:
174.84/175.05	      (~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	             member(event), 
174.84/175.05	             app_encode_app(msg, event, 
174.84/175.05	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                 app_encode_app(agent1, 
174.84/175.05	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                   server), X299), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                   app_encode_app(agent1, nat, shrK, X299)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X300), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(agent1, msg, agent, X301)), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(nat, msg, key, X302)), X303)))))), 
174.84/175.05	           app_encode_app(list(event), fun(event, bool), set(event), X304))
174.84/175.05	       | ~ app_encode_app(fun(list(event), bool), $o, 
174.84/175.05	             app_encode_app(list(event), 
174.84/175.05	               app_encode_fun(fun(list(event), bool), $o), 
174.84/175.05	               member(list(event)), X304), nS_Sha254967238shared)
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, server), X305), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                     app_encode_app(agent1, nat, shrK, X305)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       X306), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(agent1, msg, agent, X307)), 
174.84/175.05	                       app_encode_app(msg, msg, 
174.84/175.05	                         app_encode_app(msg, app_encode_fun(msg, msg), 
174.84/175.05	                           mPair, app_encode_app(nat, msg, key, X302)), X308)))))), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), X304))
174.84/175.05	       | X305 = X299),
174.84/175.05	    inference('cnf', [status(esa)], [zf_stmt_138])).
174.84/175.05	tff('50', plain,
174.84/175.05	    ![X0 : agent1, X1 : msg, X2 : agent1, X3 : msg]:
174.84/175.05	      (~ $true
174.84/175.05	       | X0 = a
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, server), X0), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                     app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(agent1, msg, agent, X2)), 
174.84/175.05	                       app_encode_app(msg, msg, 
174.84/175.05	                         app_encode_app(msg, app_encode_fun(msg, msg), 
174.84/175.05	                           mPair, app_encode_app(nat, msg, key, k)), X1)))))), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.05	       | ~ app_encode_app(fun(list(event), bool), $o, 
174.84/175.05	             app_encode_app(list(event), 
174.84/175.05	               app_encode_fun(fun(list(event), bool), $o), 
174.84/175.05	               member(list(event)), evs5), nS_Sha254967238shared)),
174.84/175.05	    inference('sup-', [status(thm)], ['41', '49'])).
174.84/175.05	tff('51', plain,
174.84/175.05	    ![X0 : agent1, X1 : msg, X2 : agent1, X3 : msg]:
174.84/175.05	      (~ $true
174.84/175.05	       | X0 = a
174.84/175.05	       | ~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	             app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	               member(event), 
174.84/175.05	               app_encode_app(msg, event, 
174.84/175.05	                 app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                   app_encode_app(agent1, 
174.84/175.05	                     app_encode_fun(agent1, app_encode_fun(msg, event)), 
174.84/175.05	                     says, server), X0), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                     app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(agent1, msg, agent, X2)), 
174.84/175.05	                       app_encode_app(msg, msg, 
174.84/175.05	                         app_encode_app(msg, app_encode_fun(msg, msg), 
174.84/175.05	                           mPair, app_encode_app(nat, msg, key, k)), X1)))))), 
174.84/175.05	             app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.05	       | ~ $true),
174.84/175.05	    inference('demod', [status(thm)], ['50', '6'])).
174.84/175.05	tff('52', plain,
174.84/175.05	    ![X0 : agent1, X1 : msg, X2 : agent1, X3 : msg]:
174.84/175.05	      (~ app_encode_app(fun(event, bool), $o, 
174.84/175.05	           app_encode_app(event, app_encode_fun(fun(event, bool), $o), 
174.84/175.05	             member(event), 
174.84/175.05	             app_encode_app(msg, event, 
174.84/175.05	               app_encode_app(agent1, app_encode_fun(msg, event), 
174.84/175.05	                 app_encode_app(agent1, 
174.84/175.05	                   app_encode_fun(agent1, app_encode_fun(msg, event)), says, 
174.84/175.05	                   server), X0), 
174.84/175.05	               app_encode_app(msg, msg, 
174.84/175.05	                 app_encode_app(nat, app_encode_fun(msg, msg), crypt, 
174.84/175.05	                   app_encode_app(agent1, nat, shrK, X0)), 
174.84/175.05	                 app_encode_app(msg, msg, 
174.84/175.05	                   app_encode_app(msg, app_encode_fun(msg, msg), mPair, X3), 
174.84/175.05	                   app_encode_app(msg, msg, 
174.84/175.05	                     app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                       app_encode_app(agent1, msg, agent, X2)), 
174.84/175.05	                     app_encode_app(msg, msg, 
174.84/175.05	                       app_encode_app(msg, app_encode_fun(msg, msg), mPair, 
174.84/175.05	                         app_encode_app(nat, msg, key, k)), X1)))))), 
174.84/175.05	           app_encode_app(list(event), fun(event, bool), set(event), evs5))
174.84/175.05	       | X0 = a),
174.84/175.05	    inference('simplify', [status(thm)], ['51'])).
174.84/175.05	tff('53', plain, (~ $true | aa = a),
174.84/175.05	    inference('sup-', [status(thm)], ['34', '52'])).
174.84/175.05	tff('54', plain, aa = a, inference('simplify', [status(thm)], ['53'])).
174.84/175.05	tff('55', plain, (a != a | b != ba),
174.84/175.05	    inference('demod', [status(thm)], ['48', '54'])).
174.84/175.05	tff('56', plain, b != ba, inference('simplify', [status(thm)], ['55'])).
174.84/175.05	tff('57', plain, $false,
174.84/175.05	    inference('simplify_reflect-', [status(thm)], ['47', '56'])).
174.84/175.05	
174.84/175.05	% SZS output end Refutation
174.84/175.06	EOF
