0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n090.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 14:31:55 CST 2018
0.53/0.73	% done 1194 iterations in 0.541s
0.53/0.73	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.53/0.73	% SZS output start Refutation
0.53/0.73	tff(conj_0, axiom,
0.53/0.73	  (member(event,
0.53/0.73	          says(server,a,crypt(k1,mPair(na,mPair(agent1(b),mPair(key(k),x))))),
0.53/0.73	          set(event,evs)))).
0.53/0.73	tff('0', plain,
0.53/0.73	    member(event, 
0.53/0.73	      says(server, a, 
0.53/0.73	        crypt(k1, mPair(na, mPair(agent1(b), mPair(key(k), x))))), 
0.53/0.73	      set(event, evs)),
0.53/0.73	    inference('cnf', [status(esa)], [conj_0])).
0.53/0.73	tff(conj_4, axiom, (member(list(event),evs,nS_Sha254967238shared))).
0.53/0.73	tff('1', plain, member(list(event), evs, nS_Sha254967238shared),
0.53/0.73	    inference('cnf', [status(esa)], [conj_4])).
0.53/0.73	tff(fact_91_Says__Server__message__form, axiom,
0.53/0.73	  (![Evsa:list(event),Xa:msg,Ka:nat,Ba:agent,N:msg,K_a:nat,Aa:agent]:
0.53/0.73	     (member(event,
0.53/0.73	             says(server,Aa,
0.53/0.73	                  crypt(K_a,mPair(N,mPair(agent1(Ba),mPair(key(Ka),Xa))))),
0.53/0.73	             set(event,Evsa)) =>
0.53/0.73	      (member(list(event),Evsa,nS_Sha254967238shared) =>
0.53/0.73	       ((K_a = aa(agent,nat,shrK,Aa)) & 
0.53/0.73	        (Xa = crypt(aa(agent,nat,shrK,Ba),mPair(key(Ka),agent1(Aa)))) & 
0.53/0.73	        (~member(nat,Ka,image(agent,nat,shrK,top_top(fun(agent,bool)))))))))).
0.53/0.73	tff('2', plain,
0.53/0.73	    ![X300 : list(event), X301 : agent, X302 : nat, X303 : msg, 
0.53/0.73	      X304 : agent, X305 : nat, X306 : msg]:
0.53/0.73	      (~ member(list(event), X300, nS_Sha254967238shared)
0.53/0.73	       | ~ member(event, 
0.53/0.73	             says(server, X301, 
0.53/0.73	               crypt(X302, 
0.53/0.73	                 mPair(X303, mPair(agent1(X304), mPair(key(X305), X306))))), 
0.53/0.73	             set(event, X300))
0.53/0.73	       | X302 = aa(agent, nat, shrK, X301)),
0.53/0.73	    inference('cnf', [status(esa)], [fact_91_Says__Server__message__form])).
0.53/0.73	tff('3', plain,
0.53/0.73	    ![X0 : nat, X1 : agent, X2 : msg, X3 : nat, X4 : agent, X5 : msg]:
0.53/0.73	      (~ $true
0.53/0.73	       | X0 = aa(agent, nat, shrK, X1)
0.53/0.73	       | ~ member(event, 
0.53/0.73	             says(server, X1, 
0.53/0.73	               crypt(X0, mPair(X5, mPair(agent1(X4), mPair(key(X3), X2))))), 
0.53/0.73	             set(event, evs))),
0.53/0.73	    inference('sup-', [status(thm)], ['1', '2'])).
0.53/0.73	tff('4', plain,
0.53/0.73	    ![X0 : nat, X1 : agent, X2 : msg, X3 : nat, X4 : agent, X5 : msg]:
0.53/0.73	      (~ member(event, 
0.53/0.73	           says(server, X1, 
0.53/0.73	             crypt(X0, mPair(X5, mPair(agent1(X4), mPair(key(X3), X2))))), 
0.53/0.73	           set(event, evs))
0.53/0.73	       | X0 = aa(agent, nat, shrK, X1)),
0.53/0.73	    inference('simplify', [status(thm)], ['3'])).
0.53/0.73	tff('5', plain, (~ $true | k1 = aa(agent, nat, shrK, a)),
0.53/0.73	    inference('sup-', [status(thm)], ['0', '4'])).
0.53/0.73	tff('6', plain, k1 = aa(agent, nat, shrK, a),
0.53/0.73	    inference('simplify', [status(thm)], ['5'])).
0.53/0.73	tff('7', plain,
0.53/0.73	    member(event, 
0.53/0.73	      says(server, a, 
0.53/0.73	        crypt(aa(agent, nat, shrK, a), 
0.53/0.73	          mPair(na, mPair(agent1(b), mPair(key(k), x))))), set(event, evs)),
0.53/0.73	    inference('demod', [status(thm)], ['0', '6'])).
0.53/0.73	tff('8', plain,
0.53/0.73	    ![X300 : list(event), X301 : agent, X302 : nat, X303 : msg, 
0.53/0.73	      X304 : agent, X305 : nat, X306 : msg]:
0.53/0.73	      (~ member(list(event), X300, nS_Sha254967238shared)
0.53/0.73	       | ~ member(event, 
0.53/0.73	             says(server, X301, 
0.53/0.73	               crypt(X302, 
0.53/0.73	                 mPair(X303, mPair(agent1(X304), mPair(key(X305), X306))))), 
0.53/0.73	             set(event, X300))
0.53/0.73	       | X306
0.53/0.74	          = crypt(aa(agent, nat, shrK, X304), mPair(key(X305), agent1(X301)))),
0.53/0.74	    inference('cnf', [status(esa)], [fact_91_Says__Server__message__form])).
0.53/0.74	tff('9', plain,
0.53/0.74	    ![X0 : msg, X1 : agent, X2 : nat, X3 : agent, X4 : msg, X5 : nat]:
0.53/0.74	      (~ $true
0.53/0.74	       | X0 = crypt(aa(agent, nat, shrK, X3), mPair(key(X2), agent1(X1)))
0.53/0.74	       | ~ member(event, 
0.53/0.74	             says(server, X1, 
0.53/0.74	               crypt(X5, mPair(X4, mPair(agent1(X3), mPair(key(X2), X0))))), 
0.53/0.74	             set(event, evs))),
0.53/0.74	    inference('sup-', [status(thm)], ['1', '8'])).
0.53/0.74	tff('10', plain,
0.53/0.74	    ![X0 : msg, X1 : agent, X2 : nat, X3 : agent, X4 : msg, X5 : nat]:
0.53/0.74	      (~ member(event, 
0.53/0.74	           says(server, X1, 
0.53/0.74	             crypt(X5, mPair(X4, mPair(agent1(X3), mPair(key(X2), X0))))), 
0.53/0.74	           set(event, evs))
0.53/0.74	       | X0 = crypt(aa(agent, nat, shrK, X3), mPair(key(X2), agent1(X1)))),
0.53/0.74	    inference('simplify', [status(thm)], ['9'])).
0.53/0.74	tff('11', plain,
0.53/0.74	    (~ $true | x = crypt(aa(agent, nat, shrK, b), mPair(key(k), agent1(a)))),
0.53/0.74	    inference('sup-', [status(thm)], ['7', '10'])).
0.53/0.74	tff('12', plain,
0.53/0.74	    x = crypt(aa(agent, nat, shrK, b), mPair(key(k), agent1(a))),
0.53/0.74	    inference('simplify', [status(thm)], ['11'])).
0.53/0.74	tff('13', plain,
0.53/0.74	    member(event, 
0.53/0.74	      says(server, a, 
0.53/0.74	        crypt(aa(agent, nat, shrK, a), 
0.53/0.74	          mPair(na, 
0.53/0.74	            mPair(agent1(b), 
0.53/0.74	              mPair(key(k), 
0.53/0.74	                crypt(aa(agent, nat, shrK, b), mPair(key(k), agent1(a)))))))), 
0.53/0.74	      set(event, evs)),
0.53/0.74	    inference('demod', [status(thm)], ['7', '12'])).
0.53/0.74	tff(fact_7_secrecy__lemma, axiom,
0.53/0.74	  (![Evsa:list(event),Ka:nat,Ba:agent,NAa:msg,Aa:agent]:
0.53/0.74	     (member(event,
0.53/0.74	             says(server,Aa,
0.53/0.74	                  crypt(aa(agent,nat,shrK,Aa),
0.53/0.74	                        mPair(NAa,
0.53/0.74	                              mPair(agent1(Ba),
0.53/0.74	                                    mPair(key(Ka),
0.53/0.74	                                          crypt(aa(agent,nat,shrK,Ba),
0.53/0.74	                                                mPair(key(Ka),agent1(Aa)))))))),
0.53/0.74	             set(event,Evsa)) =>
0.53/0.74	      ((~member(agent,Aa,bad)) =>
0.53/0.74	       ((~member(agent,Ba,bad)) =>
0.53/0.74	        (member(list(event),Evsa,nS_Sha254967238shared) =>
0.53/0.74	         ((![NB2:msg]:
0.53/0.74	             (~
0.53/0.74	               member(event,notes(spy,mPair(NAa,mPair(NB2,key(Ka)))),
0.53/0.74	                      set(event,Evsa)))) =>
0.53/0.74	          (~member(msg,key(Ka),analz(knows(spy,Evsa))))))))))).
0.53/0.74	tff('14', plain,
0.53/0.74	    ![X21 : list(event), X22 : nat, X23 : msg, X24 : agent, X25 : agent]:
0.53/0.74	      (~ member(list(event), X21, nS_Sha254967238shared)
0.53/0.74	       | ~ member(msg, key(X22), analz(knows(spy, X21)))
0.53/0.74	       | member(event, 
0.53/0.74	           notes(spy, mPair(X23, mPair(sk_NB2(X23, X22, X21), key(X22)))), 
0.53/0.74	           set(event, X21))
0.53/0.74	       | member(agent, X24, bad)
0.53/0.74	       | ~ member(event, 
0.53/0.74	             says(server, X25, 
0.53/0.74	               crypt(aa(agent, nat, shrK, X25), 
0.53/0.74	                 mPair(X23, 
0.53/0.74	                   mPair(agent1(X24), 
0.53/0.74	                     mPair(key(X22), 
0.53/0.74	                       crypt(aa(agent, nat, shrK, X24), 
0.53/0.74	                         mPair(key(X22), agent1(X25)))))))), set(event, X21))
0.53/0.74	       | member(agent, X25, bad)),
0.53/0.74	    inference('cnf', [status(esa)], [fact_7_secrecy__lemma])).
0.53/0.74	tff('15', plain,
0.53/0.74	    (~ $true
0.53/0.74	     | member(agent, a, bad)
0.53/0.74	     | member(agent, b, bad)
0.53/0.74	     | member(event, 
0.53/0.74	         notes(spy, mPair(na, mPair(sk_NB2(na, k, evs), key(k)))), 
0.53/0.74	         set(event, evs))
0.53/0.74	     | ~ member(msg, key(k), analz(knows(spy, evs)))
0.53/0.74	     | ~ member(list(event), evs, nS_Sha254967238shared)),
0.53/0.74	    inference('sup-', [status(thm)], ['13', '14'])).
0.53/0.74	tff(conj_5, conjecture, (~member(msg,key(k),analz(knows(spy,evs))))).
0.53/0.74	tff(zf_stmt_0, negated_conjecture,
0.53/0.74	  (member(msg,key(k),analz(knows(spy,evs))))).
0.53/0.74	tff('16', plain, member(msg, key(k), analz(knows(spy, evs))),
0.53/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.53/0.74	tff('17', plain,
0.53/0.74	    (~ $true
0.53/0.74	     | member(agent, a, bad)
0.53/0.74	     | member(agent, b, bad)
0.53/0.74	     | member(event, 
0.53/0.74	         notes(spy, mPair(na, mPair(sk_NB2(na, k, evs), key(k)))), 
0.53/0.74	         set(event, evs))
0.53/0.74	     | ~ $true
0.53/0.74	     | ~ $true),
0.53/0.74	    inference('demod', [status(thm)], ['15', '16', '1'])).
0.53/0.74	tff('18', plain,
0.53/0.74	    (member(event, notes(spy, mPair(na, mPair(sk_NB2(na, k, evs), key(k)))), 
0.53/0.74	       set(event, evs))
0.53/0.74	     | member(agent, b, bad)
0.53/0.74	     | member(agent, a, bad)),
0.53/0.74	    inference('simplify', [status(thm)], ['17'])).
0.53/0.74	tff(conj_1, axiom,
0.53/0.74	  (![NB:msg]:
0.53/0.74	     (~member(event,notes(spy,mPair(na,mPair(NB,key(k)))),set(event,evs))))).
0.53/0.74	tff('19', plain,
0.53/0.74	    ![X340 : msg]:
0.53/0.74	      ~ member(event, notes(spy, mPair(na, mPair(X340, key(k)))), 
0.53/0.74	          set(event, evs)),
0.53/0.74	    inference('cnf', [status(esa)], [conj_1])).
0.53/0.74	tff('20', plain, (member(agent, a, bad) | member(agent, b, bad)),
0.53/0.74	    inference('clc', [status(thm)], ['18', '19'])).
0.53/0.74	tff(conj_2, axiom, (~member(agent,a,bad))).
0.53/0.74	tff('21', plain, ~ member(agent, a, bad),
0.53/0.74	    inference('cnf', [status(esa)], [conj_2])).
0.53/0.74	tff('22', plain, member(agent, b, bad),
0.53/0.74	    inference('clc', [status(thm)], ['20', '21'])).
0.53/0.74	tff(conj_3, axiom, (~member(agent,b,bad))).
0.53/0.74	tff('23', plain, ~ member(agent, b, bad),
0.53/0.74	    inference('cnf', [status(esa)], [conj_3])).
0.53/0.74	tff('24', plain, ~ $true, inference('sup-', [status(thm)], ['22', '23'])).
0.53/0.74	tff('25', plain, $false, inference('simplify', [status(thm)], ['24'])).
0.53/0.74	
0.53/0.74	% SZS output end Refutation
0.53/0.74	EOF
