Backend: Open-Source Fixedpoint Model-Checker version 2009c Protocol: NSL Types: [(Purpose,["purposeNA","purposeNB"]),(Agent False False,["A","B","s"]),(Number,["NA","NB"]),(Function,["pk"])] section rules: step rule_0: iknows(crypt(K,M)); iknows(inv(K)) => iknows(M) step rule_1: iknows(crypt(inv(K),M)); iknows(K) => iknows(M) step rule_2: iknows(scrypt(K,M)); iknows(K) => iknows(M) step rule_3: iknows(pair(M1,M2)) => iknows(M1); iknows(M2) step rule_4: secret(M,Agent (honest a)); iknows(M) => attack(pair(secrecy,M)) step rule_5: request(A,B,Purpose (purposeNA),M,(SID sid)) | B/=Agent (dishonest i); M/=Nonce (na(pair(B,A))) => attack(pair(authentication,pair(A,pair(B,M)))) step rule_6: request(A,B,Purpose (purposeNB),M,(SID sid)) | B/=Agent (dishonest i); M/=Nonce (nb(pair(B,pair(A,Arg1)))) => attack(pair(authentication,pair(A,pair(B,M)))) step rule_7: State (rA,[Agent (A),Step 0,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),(SID sid)]) => State (rA,[Agent (A),Step 1,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),(SID sid)]); iknows(pair(Agent (A),Agent (B))) step rule_8: State (rs,[Agent (honest a),Step 0,inv(pk(Agent (honest a))),(SID sid)]); iknows(Agent (A)); iknows(Agent (B)) => State (rs,[Agent (honest a),Step 1,inv(pk(Agent (honest a))),Agent (B),Agent (A),pair(Agent (A),Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),(SID sid)]); iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B))))) step rule_9: State (rA,[Agent (A),Step 1,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),(SID sid)]); iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B))))) => secret(Nonce (na(pair(Agent (A),Agent (B)))),Agent (B)); witness(Agent (A),Agent (B),Purpose (purposeNA),Nonce (na(pair(Agent (A),Agent (B))))); State (rA,[Agent (A),Step 2,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),(SID sid)]); iknows(crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A)))) step rule_10: State (rA,[Agent (A),Step 1,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),(SID sid)]); iknows(inv(pk(Agent (honest a)))); iknows(Agent (B)); iknows(pk(Agent (B))) => secret(Nonce (na(pair(Agent (A),Agent (B)))),Agent (B)); witness(Agent (A),Agent (B),Purpose (purposeNA),Nonce (na(pair(Agent (A),Agent (B))))); State (rA,[Agent (A),Step 2,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),(SID sid)]); iknows(crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A)))) step rule_11: State (rA,[Agent (A),Step 1,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),(SID sid)]); iknows(inv(pk(Agent (honest a)))); iknows(Agent (B)) => secret(Nonce (na(pair(Agent (A),Agent (B)))),Agent (B)); witness(Agent (A),Agent (B),Purpose (purposeNA),Nonce (na(pair(Agent (A),Agent (B))))); State (rA,[Agent (A),Step 2,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),(SID sid)]); iknows(crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A)))) step rule_12: State (rB,[Agent (B),Step 0,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),(SID sid)]); iknows(crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A)))) => State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(pair(Agent (B),Agent (A))) step rule_13: State (rB,[Agent (B),Step 0,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),(SID sid)]); iknows(pk(Agent (B))); iknows(Nonce (NA)); iknows(Agent (A)) => State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(pair(Agent (B),Agent (A))) step rule_14: State (rB,[Agent (B),Step 0,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),(SID sid)]); iknows(Agent (B)); iknows(Nonce (NA)); iknows(Agent (A)) => State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(pair(Agent (B),Agent (A))) step rule_15: State (rs,[Agent (honest a),Step 1,inv(pk(Agent (honest a))),Agent (B),Agent (A),pair(Agent (A),Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),(SID sid)]); iknows(Agent (B)); iknows(Agent (A)) => State (rs,[Agent (honest a),Step 2,inv(pk(Agent (honest a))),Agent (B),Agent (A),pair(Agent (A),Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),pair(Agent (B),Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),(SID sid)]); iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A))))) step rule_16: State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A))))) => secret(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (A)); witness(Agent (B),Agent (A),Purpose (purposeNB),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1))))); State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),crypt(pk(Agent (A)),pair(Nonce (na(pair(Agent (A),Agent (B)))),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (na(pair(Agent (A),Agent (B)))),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (B))))) step rule_17: State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(inv(pk(Agent (honest a)))); iknows(Agent (A)); iknows(pk(Agent (A))) => secret(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (A)); witness(Agent (B),Agent (A),Purpose (purposeNB),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1))))); State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),crypt(pk(Agent (A)),pair(Nonce (na(pair(Agent (A),Agent (B)))),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (na(pair(Agent (A),Agent (B)))),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (B))))) step rule_18: State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(inv(pk(Agent (honest a)))); iknows(Agent (A)) => secret(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (A)); witness(Agent (B),Agent (A),Purpose (purposeNB),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1))))); State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (na(pair(Agent (A),Agent (B)))),crypt(pk(Agent (B)),pair(Nonce (na(pair(Agent (A),Agent (B)))),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),crypt(pk(Agent (A)),pair(Nonce (na(pair(Agent (A),Agent (B)))),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (na(pair(Agent (A),Agent (B)))),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 1)))),Agent (B))))) step rule_19: State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A))))) | Nonce (NA)/=Nonce (na(pair(Agent (A),Agent (B)))) => secret(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (A)); witness(Agent (B),Agent (A),Purpose (purposeNB),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0))))); State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (B))))) step rule_20: State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(inv(pk(Agent (honest a)))); iknows(Agent (A)); iknows(pk(Agent (A))) | Nonce (NA)/=Nonce (na(pair(Agent (A),Agent (B)))) => secret(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (A)); witness(Agent (B),Agent (A),Purpose (purposeNB),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0))))); State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (B))))) step rule_21: State (rB,[Agent (B),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),(SID sid)]); iknows(inv(pk(Agent (honest a)))); iknows(Agent (A)) | Nonce (NA)/=Nonce (na(pair(Agent (A),Agent (B)))) => secret(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (A)); witness(Agent (B),Agent (A),Purpose (purposeNB),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0))))); State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (nb(pair(Agent (B),pair(Agent (A),Step 0)))),Agent (B))))) step rule_22: State (rA,[Agent (A),Step 2,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),(SID sid)]); iknows(crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B))))) => request(Agent (A),Agent (B),Purpose (purposeNB),Nonce (NB),(SID sid)); State (rA,[Agent (A),Step 3,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),crypt(pk(Agent (B)),Nonce (NB)),(SID sid)]); iknows(crypt(pk(Agent (B)),Nonce (NB))) step rule_23: State (rA,[Agent (A),Step 2,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),(SID sid)]); iknows(pk(Agent (A))); iknows(Nonce (NA)); iknows(Nonce (NB)); iknows(Agent (B)) => request(Agent (A),Agent (B),Purpose (purposeNB),Nonce (NB),(SID sid)); State (rA,[Agent (A),Step 3,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),crypt(pk(Agent (B)),Nonce (NB)),(SID sid)]); iknows(crypt(pk(Agent (B)),Nonce (NB))) step rule_24: State (rA,[Agent (A),Step 2,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),(SID sid)]); iknows(Agent (A)); iknows(Nonce (NA)); iknows(Nonce (NB)); iknows(Agent (B)) => request(Agent (A),Agent (B),Purpose (purposeNB),Nonce (NB),(SID sid)); State (rA,[Agent (A),Step 3,Agent (B),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (A))),pk(Agent (A)),pair(Agent (A),Agent (B)),pk(Agent (B)),crypt(inv(pk(Agent (honest a))),pair(Agent (B),pk(Agent (B)))),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),crypt(pk(Agent (B)),Nonce (NB)),(SID sid)]); iknows(crypt(pk(Agent (B)),Nonce (NB))) step rule_25: State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),(SID sid)]); iknows(crypt(pk(Agent (B)),Nonce (NB))) => request(Agent (B),Agent (A),Purpose (purposeNA),Nonce (NA),(SID sid)); State (rB,[Agent (B),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),crypt(pk(Agent (B)),Nonce (NB)),(SID sid)]) step rule_26: State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),(SID sid)]); iknows(pk(Agent (B))); iknows(Nonce (NB)) => request(Agent (B),Agent (A),Purpose (purposeNA),Nonce (NA),(SID sid)); State (rB,[Agent (B),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),crypt(pk(Agent (B)),Nonce (NB)),(SID sid)]) step rule_27: State (rB,[Agent (B),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),(SID sid)]); iknows(Agent (B)); iknows(Nonce (NB)) => request(Agent (B),Agent (A),Purpose (purposeNA),Nonce (NA),(SID sid)); State (rB,[Agent (B),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (B))),pk(Agent (B)),Agent (A),Nonce (NA),crypt(pk(Agent (B)),pair(Nonce (NA),Agent (A))),pair(Agent (B),Agent (A)),pk(Agent (A)),crypt(inv(pk(Agent (honest a))),pair(Agent (A),pk(Agent (A)))),Nonce (NB),crypt(pk(Agent (A)),pair(Nonce (NA),pair(Nonce (NB),Agent (B)))),crypt(pk(Agent (B)),Nonce (NB)),(SID sid)]) section initial state: init_0: iknows(Nonce (ni)); init_1: iknows(Agent (dishonest i)); init_2: State (rA,[Agent (honest a),Step 0,Agent (dishonest i),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),(SID sid)]); init_3: State (rA,[Agent (honest a),Step 0,Agent (honest a),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),(SID sid)]); init_4: iknows(Step 0); init_5: iknows(pk(Agent (honest a))); init_6: iknows(Agent (honest a)); init_7: iknows(inv(pk(Agent (dishonest i)))); init_8: iknows(pk(Agent (dishonest i))); init_9: iknows((SID sid)); init_10: iknows(Agent (honest a)); init_11: State (rB,[Agent (honest a),Step 0,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),(SID sid)]); init_12: State (rs,[Agent (honest a),Step 0,inv(pk(Agent (honest a))),(SID sid)]); section fixedpoint: fp_0: iknows(pair(Agent (honest a),Agent (honest a))); fp_1: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_2: State (rA,[Agent (honest a),Step 1,Agent (dishonest i),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (dishonest i)),(SID sid)]); fp_3: State (rA,[Agent (honest a),Step 1,Agent (honest a),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (honest a)),(SID sid)]); fp_4: State (rs,[Agent (honest a),Step 1,inv(pk(Agent (honest a))),Agent (dishonest i),Agent (dishonest i),pair(Agent (dishonest i),Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),(SID sid)]); fp_5: State (rs,[Agent (honest a),Step 1,inv(pk(Agent (honest a))),Agent (honest a),Agent (dishonest i),pair(Agent (dishonest i),Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),(SID sid)]); fp_6: State (rs,[Agent (honest a),Step 1,inv(pk(Agent (honest a))),Agent (dishonest i),Agent (honest a),pair(Agent (honest a),Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),(SID sid)]); fp_7: State (rs,[Agent (honest a),Step 1,inv(pk(Agent (honest a))),Agent (honest a),Agent (honest a),pair(Agent (honest a),Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),(SID sid)]); fp_8: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (ni),crypt(pk(Agent (honest a)),pair(Nonce (ni),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),(SID sid)]); fp_9: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (ni),crypt(pk(Agent (honest a)),pair(Nonce (ni),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),(SID sid)]); fp_10: iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a))))); fp_11: iknows(crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i))))); fp_12: iknows(pair(Agent (honest a),Agent (honest a))); fp_13: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_14: iknows(pair(Agent (dishonest i),pk(Agent (dishonest i)))); fp_15: iknows(pair(Agent (honest a),pk(Agent (honest a)))); fp_16: secret(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (dishonest i)); fp_17: witness(Agent (honest a),Agent (dishonest i),Purpose (purposeNA),Nonce (na(pair(Agent (honest a),Agent (dishonest i))))); fp_18: State (rA,[Agent (honest a),Step 2,Agent (dishonest i),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))),(SID sid)]); fp_19: secret(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a)); fp_20: witness(Agent (honest a),Agent (honest a),Purpose (purposeNA),Nonce (na(pair(Agent (honest a),Agent (honest a))))); fp_21: State (rA,[Agent (honest a),Step 2,Agent (honest a),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (na(pair(Agent (honest a),Agent (honest a)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a))),(SID sid)]); fp_22: State (rs,[Agent (honest a),Step 2,inv(pk(Agent (honest a))),Agent (dishonest i),Agent (dishonest i),pair(Agent (dishonest i),Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),pair(Agent (dishonest i),Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),(SID sid)]); fp_23: State (rs,[Agent (honest a),Step 2,inv(pk(Agent (honest a))),Agent (honest a),Agent (dishonest i),pair(Agent (dishonest i),Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),pair(Agent (honest a),Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),(SID sid)]); fp_24: State (rs,[Agent (honest a),Step 2,inv(pk(Agent (honest a))),Agent (dishonest i),Agent (honest a),pair(Agent (honest a),Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),pair(Agent (dishonest i),Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),(SID sid)]); fp_25: State (rs,[Agent (honest a),Step 2,inv(pk(Agent (honest a))),Agent (honest a),Agent (honest a),pair(Agent (honest a),Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),pair(Agent (honest a),Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),(SID sid)]); fp_26: secret(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (dishonest i)); fp_27: witness(Agent (honest a),Agent (dishonest i),Purpose (purposeNB),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0))))); fp_28: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (ni),crypt(pk(Agent (honest a)),pair(Nonce (ni),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (dishonest i)),pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))),(SID sid)]); fp_29: secret(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a)); fp_30: witness(Agent (honest a),Agent (honest a),Purpose (purposeNB),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0))))); fp_31: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (ni),crypt(pk(Agent (honest a)),pair(Nonce (ni),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a)))),(SID sid)]); fp_32: iknows(crypt(pk(Agent (honest a)),pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a))))); fp_33: iknows(crypt(pk(Agent (dishonest i)),pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))))); fp_34: iknows(crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a)))); fp_35: iknows(crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a)))); fp_36: iknows(pair(Agent (honest a),Agent (honest a))); fp_37: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_38: iknows(pair(Agent (dishonest i),pk(Agent (dishonest i)))); fp_39: iknows(pair(Agent (honest a),pk(Agent (honest a)))); fp_40: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))); fp_41: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))); fp_42: iknows(pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_43: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (na(pair(Agent (honest a),Agent (honest a)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),(SID sid)]); fp_44: iknows(Nonce (na(pair(Agent (honest a),Agent (dishonest i))))); fp_45: iknows(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0))))); fp_46: iknows(pair(Agent (honest a),Agent (honest a))); fp_47: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_48: iknows(pair(Agent (dishonest i),pk(Agent (dishonest i)))); fp_49: iknows(pair(Agent (honest a),pk(Agent (honest a)))); fp_50: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))); fp_51: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))); fp_52: iknows(pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_53: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),(SID sid)]); fp_54: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),(SID sid)]); fp_55: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),(SID sid)]); fp_56: State (rB,[Agent (honest a),Step 1,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),(SID sid)]); fp_57: secret(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),Agent (honest a)); fp_58: witness(Agent (honest a),Agent (honest a),Purpose (purposeNB),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1))))); fp_59: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (na(pair(Agent (honest a),Agent (honest a)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),Agent (honest a)))),(SID sid)]); fp_60: request(Agent (honest a),Agent (dishonest i),Purpose (purposeNB),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),(SID sid)); fp_61: State (rA,[Agent (honest a),Step 3,Agent (dishonest i),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),Nonce (na(pair(Agent (honest a),Agent (dishonest i))))),(SID sid)]); fp_62: request(Agent (honest a),Agent (dishonest i),Purpose (purposeNB),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),(SID sid)); fp_63: State (rA,[Agent (honest a),Step 3,Agent (dishonest i),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0))))),(SID sid)]); fp_64: request(Agent (honest a),Agent (dishonest i),Purpose (purposeNB),Nonce (ni),(SID sid)); fp_65: State (rA,[Agent (honest a),Step 3,Agent (dishonest i),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))),Nonce (ni),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (ni),Agent (dishonest i)))),crypt(pk(Agent (dishonest i)),Nonce (ni)),(SID sid)]); fp_66: request(Agent (honest a),Agent (dishonest i),Purpose (purposeNA),Nonce (ni),(SID sid)); fp_67: State (rB,[Agent (honest a),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (ni),crypt(pk(Agent (honest a)),pair(Nonce (ni),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (dishonest i)),pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))),crypt(pk(Agent (honest a)),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0))))),(SID sid)]); fp_68: iknows(crypt(pk(Agent (dishonest i)),Nonce (ni))); fp_69: iknows(crypt(pk(Agent (dishonest i)),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))))); fp_70: iknows(crypt(pk(Agent (dishonest i)),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))))); fp_71: iknows(crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),Agent (honest a))))); fp_72: iknows(pair(Agent (honest a),Agent (honest a))); fp_73: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_74: iknows(pair(Agent (dishonest i),pk(Agent (dishonest i)))); fp_75: iknows(pair(Agent (honest a),pk(Agent (honest a)))); fp_76: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))); fp_77: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))); fp_78: iknows(pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_79: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))),(SID sid)]); fp_80: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a)))),(SID sid)]); fp_81: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (dishonest i)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))),(SID sid)]); fp_82: State (rB,[Agent (honest a),Step 2,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a)))),(SID sid)]); fp_83: request(Agent (honest a),Agent (honest a),Purpose (purposeNB),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),(SID sid)); fp_84: State (rA,[Agent (honest a),Step 3,Agent (honest a),pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (na(pair(Agent (honest a),Agent (honest a)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a))),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),Agent (honest a)))),crypt(pk(Agent (honest a)),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1))))),(SID sid)]); fp_85: iknows(crypt(pk(Agent (honest a)),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))))); fp_86: iknows(crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a))))); fp_87: iknows(crypt(pk(Agent (dishonest i)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))))); fp_88: iknows(crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 0)))),Agent (honest a))))); fp_89: iknows(crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))))); fp_90: iknows(pair(Agent (honest a),Agent (honest a))); fp_91: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_92: iknows(pair(Agent (dishonest i),pk(Agent (dishonest i)))); fp_93: iknows(pair(Agent (honest a),pk(Agent (honest a)))); fp_94: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))); fp_95: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))); fp_96: iknows(pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_97: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_98: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_99: request(Agent (honest a),Agent (honest a),Purpose (purposeNA),Nonce (na(pair(Agent (honest a),Agent (honest a)))),(SID sid)); fp_100: State (rB,[Agent (honest a),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (honest a),Nonce (na(pair(Agent (honest a),Agent (honest a)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),Agent (honest a))),pair(Agent (honest a),Agent (honest a)),pk(Agent (honest a)),crypt(inv(pk(Agent (honest a))),pair(Agent (honest a),pk(Agent (honest a)))),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (honest a)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1)))),Agent (honest a)))),crypt(pk(Agent (honest a)),Nonce (nb(pair(Agent (honest a),pair(Agent (honest a),Step 1))))),(SID sid)]); fp_101: request(Agent (honest a),Agent (dishonest i),Purpose (purposeNA),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),(SID sid)); fp_102: State (rB,[Agent (honest a),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),crypt(pk(Agent (honest a)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (dishonest i)),pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))),crypt(pk(Agent (honest a)),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0))))),(SID sid)]); fp_103: request(Agent (honest a),Agent (dishonest i),Purpose (purposeNA),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),(SID sid)); fp_104: State (rB,[Agent (honest a),Step 3,pk(Agent (honest a)),Agent (honest a),inv(pk(Agent (honest a))),pk(Agent (honest a)),Agent (dishonest i),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (honest a)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (dishonest i))),pair(Agent (honest a),Agent (dishonest i)),pk(Agent (dishonest i)),crypt(inv(pk(Agent (honest a))),pair(Agent (dishonest i),pk(Agent (dishonest i)))),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),crypt(pk(Agent (dishonest i)),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))),crypt(pk(Agent (honest a)),Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0))))),(SID sid)]); fp_105: iknows(pair(Agent (honest a),Agent (honest a))); fp_106: iknows(pair(Agent (honest a),Agent (dishonest i))); fp_107: iknows(pair(Agent (dishonest i),pk(Agent (dishonest i)))); fp_108: iknows(pair(Agent (honest a),pk(Agent (honest a)))); fp_109: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),Agent (honest a))); fp_110: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a))); fp_111: iknows(pair(Nonce (ni),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_112: iknows(pair(Nonce (na(pair(Agent (honest a),Agent (dishonest i)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); fp_113: iknows(pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),pair(Nonce (nb(pair(Agent (honest a),pair(Agent (dishonest i),Step 0)))),Agent (honest a)))); section abstraction: NA->Nonce (na(pair(A,B))); NB->Nonce (nb(pair(B,pair(A,equals(pair(NA,Nonce (na(pair(A,B)))))))))