TSTP Solution File: SWV010+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:15:32 EDT 2022
% Result : Satisfiable 0.19s 0.53s
% Output : Saturation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 19:23:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.53 # Version: 1.3
% 0.19/0.53 # SZS status Satisfiable
% 0.19/0.53 # SZS output start Saturation
% 0.19/0.53 fof(nonce_a_is_fresh_to_b,axiom,fresh_to_b(an_a_nonce),input).
% 0.19/0.53 cnf(c16,axiom,fresh_to_b(an_a_nonce),inference(split_conjunct,status(thm),[nonce_a_is_fresh_to_b])).
% 0.19/0.53 fof(a_sent_message_i_to_b,axiom,message(sent(a,b,pair(a,an_a_nonce))),input).
% 0.19/0.53 cnf(c27,axiom,message(sent(a,b,pair(a,an_a_nonce))),inference(split_conjunct,status(thm),[a_sent_message_i_to_b])).
% 0.19/0.53 fof(b_creates_freash_nonces_in_time,axiom,(![U]:(![V]:((message(sent(U,b,pair(U,V)))&fresh_to_b(V))=>(message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt))))&b_stored(pair(U,V)))))),input).
% 0.19/0.53 fof(c11,axiom,(![U]:(![V]:((~message(sent(U,b,pair(U,V)))|~fresh_to_b(V))|(message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt))))&b_stored(pair(U,V)))))),inference(fof_nnf,status(thm),[b_creates_freash_nonces_in_time])).
% 0.19/0.53 fof(c12,axiom,(![X12]:(![X13]:((~message(sent(X12,b,pair(X12,X13)))|~fresh_to_b(X13))|(message(sent(b,t,triple(b,generate_b_nonce(X13),encrypt(triple(X12,X13,generate_expiration_time(X13)),bt))))&b_stored(pair(X12,X13)))))),inference(variable_rename,status(thm),[c11])).
% 0.19/0.53 fof(c13,axiom,(![X12]:(![X13]:(((~message(sent(X12,b,pair(X12,X13)))|~fresh_to_b(X13))|message(sent(b,t,triple(b,generate_b_nonce(X13),encrypt(triple(X12,X13,generate_expiration_time(X13)),bt)))))&((~message(sent(X12,b,pair(X12,X13)))|~fresh_to_b(X13))|b_stored(pair(X12,X13)))))),inference(distribute,status(thm),[c12])).
% 0.19/0.53 cnf(c15,axiom,~message(sent(X31,b,pair(X31,X30)))|~fresh_to_b(X30)|b_stored(pair(X31,X30)),inference(split_conjunct,status(thm),[c13])).
% 0.19/0.53 cnf(c30,plain,~fresh_to_b(an_a_nonce)|b_stored(pair(a,an_a_nonce)),inference(resolution,status(thm),[c15, c27])).
% 0.19/0.53 cnf(c31,plain,b_stored(pair(a,an_a_nonce)),inference(resolution,status(thm),[c30, c16])).
% 0.19/0.53 fof(b_accepts_secure_session_key,axiom,(![V]:(![X]:(![Y]:((message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))&b_stored(pair(X,Y)))=>b_holds(key(V,X)))))),input).
% 0.19/0.53 fof(c6,axiom,(![V]:(![X]:(![Y]:((~message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))|~b_stored(pair(X,Y)))|b_holds(key(V,X)))))),inference(fof_nnf,status(thm),[b_accepts_secure_session_key])).
% 0.19/0.53 fof(c7,axiom,(![V]:(![X]:((![Y]:(~message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))|~b_stored(pair(X,Y))))|b_holds(key(V,X))))),inference(shift_quantors,status(thm),[c6])).
% 0.19/0.53 fof(c9,axiom,(![X9]:(![X10]:(![X11]:((~message(sent(X10,b,pair(encrypt(triple(X10,X9,generate_expiration_time(X11)),bt),encrypt(generate_b_nonce(X11),X9))))|~b_stored(pair(X10,X11)))|b_holds(key(X9,X10)))))),inference(shift_quantors,status(thm),[fof(c8,axiom,(![X9]:(![X10]:((![X11]:(~message(sent(X10,b,pair(encrypt(triple(X10,X9,generate_expiration_time(X11)),bt),encrypt(generate_b_nonce(X11),X9))))|~b_stored(pair(X10,X11))))|b_holds(key(X9,X10))))),inference(variable_rename,status(thm),[c7])).])).
% 0.19/0.53 cnf(c10,axiom,~message(sent(X29,b,pair(encrypt(triple(X29,X27,generate_expiration_time(X28)),bt),encrypt(generate_b_nonce(X28),X27))))|~b_stored(pair(X29,X28))|b_holds(key(X27,X29)),inference(split_conjunct,status(thm),[c9])).
% 0.19/0.53 fof(a_stored_message_i,axiom,a_stored(pair(b,an_a_nonce)),input).
% 0.19/0.53 cnf(c26,axiom,a_stored(pair(b,an_a_nonce)),inference(split_conjunct,status(thm),[a_stored_message_i])).
% 0.19/0.53 fof(a_forwards_secure,axiom,(![U]:(![V]:(![W]:(![X]:(![Y]:(![Z]:((message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U)))&a_stored(pair(Y,Z)))=>(message(sent(a,Y,pair(X,encrypt(U,W))))&a_holds(key(W,Y)))))))))),input).
% 0.19/0.53 fof(c19,axiom,(![U]:(![V]:(![W]:(![X]:(![Y]:(![Z]:((~message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U)))|~a_stored(pair(Y,Z)))|(message(sent(a,Y,pair(X,encrypt(U,W))))&a_holds(key(W,Y)))))))))),inference(fof_nnf,status(thm),[a_forwards_secure])).
% 0.19/0.53 fof(c20,axiom,(![U]:(![V]:(![W]:(![X]:(![Y]:((![Z]:(~message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U)))|~a_stored(pair(Y,Z))))|(message(sent(a,Y,pair(X,encrypt(U,W))))&a_holds(key(W,Y))))))))),inference(shift_quantors,status(thm),[c19])).
% 0.19/0.53 fof(c22,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((~message(sent(t,a,triple(encrypt(quadruple(X18,X19,X16,X15),at),X17,X14)))|~a_stored(pair(X18,X19)))|(message(sent(a,X18,pair(X17,encrypt(X14,X16))))&a_holds(key(X16,X18)))))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:((![X19]:(~message(sent(t,a,triple(encrypt(quadruple(X18,X19,X16,X15),at),X17,X14)))|~a_stored(pair(X18,X19))))|(message(sent(a,X18,pair(X17,encrypt(X14,X16))))&a_holds(key(X16,X18))))))))),inference(variable_rename,status(thm),[c20])).])).
% 0.19/0.53 fof(c23,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((~message(sent(t,a,triple(encrypt(quadruple(X18,X19,X16,X15),at),X17,X14)))|~a_stored(pair(X18,X19)))|message(sent(a,X18,pair(X17,encrypt(X14,X16)))))&((~message(sent(t,a,triple(encrypt(quadruple(X18,X19,X16,X15),at),X17,X14)))|~a_stored(pair(X18,X19)))|a_holds(key(X16,X18)))))))))),inference(distribute,status(thm),[c22])).
% 0.19/0.53 cnf(c24,axiom,~message(sent(t,a,triple(encrypt(quadruple(X45,X40,X43,X42),at),X41,X44)))|~a_stored(pair(X45,X40))|message(sent(a,X45,pair(X41,encrypt(X44,X43)))),inference(split_conjunct,status(thm),[c23])).
% 0.19/0.53 fof(t_holds_key_bt_for_b,axiom,t_holds(key(bt,b)),input).
% 0.19/0.53 cnf(c4,axiom,t_holds(key(bt,b)),inference(split_conjunct,status(thm),[t_holds_key_bt_for_b])).
% 0.19/0.53 fof(t_holds_key_at_for_a,axiom,t_holds(key(at,a)),input).
% 0.19/0.53 cnf(c5,axiom,t_holds(key(at,a)),inference(split_conjunct,status(thm),[t_holds_key_at_for_a])).
% 0.19/0.53 fof(server_t_generates_key,axiom,(![U]:(![V]:(![W]:(![X]:(![Y]:(![Z]:(![X1]:(((message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z))))&t_holds(key(Z,U)))&t_holds(key(X1,W)))=>message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))))))))))),input).
% 0.19/0.53 fof(c0,axiom,(![U]:(![V]:(![W]:(![X]:(![Y]:(![Z]:(![X1]:(((~message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z))))|~t_holds(key(Z,U)))|~t_holds(key(X1,W)))|message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))))))))))),inference(fof_nnf,status(thm),[server_t_generates_key])).
% 0.19/0.53 fof(c1,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(((~message(sent(X2,t,triple(X2,X3,encrypt(triple(X4,X5,X6),X7))))|~t_holds(key(X7,X2)))|~t_holds(key(X8,X4)))|message(sent(t,X4,triple(encrypt(quadruple(X2,X5,generate_key(X5),X6),X8),encrypt(triple(X4,generate_key(X5),X6),X7),X3))))))))))),inference(variable_rename,status(thm),[c0])).
% 0.19/0.53 cnf(c2,axiom,~message(sent(X20,t,triple(X20,X23,encrypt(triple(X22,X26,X24),X25))))|~t_holds(key(X25,X20))|~t_holds(key(X21,X22))|message(sent(t,X22,triple(encrypt(quadruple(X20,X26,generate_key(X26),X24),X21),encrypt(triple(X22,generate_key(X26),X24),X25),X23))),inference(split_conjunct,status(thm),[c1])).
% 0.19/0.53 cnf(c14,axiom,~message(sent(X39,b,pair(X39,X38)))|~fresh_to_b(X38)|message(sent(b,t,triple(b,generate_b_nonce(X38),encrypt(triple(X39,X38,generate_expiration_time(X38)),bt)))),inference(split_conjunct,status(thm),[c13])).
% 0.19/0.53 cnf(c32,plain,~fresh_to_b(an_a_nonce)|message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),inference(resolution,status(thm),[c14, c27])).
% 0.19/0.53 cnf(c33,plain,message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),inference(resolution,status(thm),[c32, c16])).
% 0.19/0.53 cnf(c34,plain,~t_holds(key(bt,b))|~t_holds(key(X46,a))|message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X46),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))),inference(resolution,status(thm),[c33, c2])).
% 0.19/0.53 cnf(c35,plain,~t_holds(key(bt,b))|message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))),inference(resolution,status(thm),[c34, c5])).
% 0.19/0.53 cnf(c36,plain,message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))),inference(resolution,status(thm),[c35, c4])).
% 0.19/0.53 cnf(c38,plain,~a_stored(pair(b,an_a_nonce))|message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))),inference(resolution,status(thm),[c36, c24])).
% 0.19/0.53 cnf(c40,plain,message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))),inference(resolution,status(thm),[c38, c26])).
% 0.19/0.53 cnf(c41,plain,~b_stored(pair(a,an_a_nonce))|b_holds(key(generate_key(an_a_nonce),a)),inference(resolution,status(thm),[c40, c10])).
% 0.19/0.53 cnf(c42,plain,b_holds(key(generate_key(an_a_nonce),a)),inference(resolution,status(thm),[c41, c31])).
% 0.19/0.53 cnf(c25,axiom,~message(sent(t,a,triple(encrypt(quadruple(X37,X32,X35,X34),at),X33,X36)))|~a_stored(pair(X37,X32))|a_holds(key(X35,X37)),inference(split_conjunct,status(thm),[c23])).
% 0.19/0.53 cnf(c37,plain,~a_stored(pair(b,an_a_nonce))|a_holds(key(generate_key(an_a_nonce),b)),inference(resolution,status(thm),[c36, c25])).
% 0.19/0.53 cnf(c39,plain,a_holds(key(generate_key(an_a_nonce),b)),inference(resolution,status(thm),[c37, c26])).
% 0.19/0.53 fof(a_holds_key_at_for_t,axiom,a_holds(key(at,t)),input).
% 0.19/0.53 cnf(c29,axiom,a_holds(key(at,t)),inference(split_conjunct,status(thm),[a_holds_key_at_for_t])).
% 0.19/0.53 fof(b_hold_key_bt_for_t,axiom,b_holds(key(bt,t)),input).
% 0.19/0.53 cnf(c18,axiom,b_holds(key(bt,t)),inference(split_conjunct,status(thm),[b_hold_key_bt_for_t])).
% 0.19/0.53 fof(a_is_party_of_protocol,axiom,party_of_protocol(a),input).
% 0.19/0.53 cnf(c28,axiom,party_of_protocol(a),inference(split_conjunct,status(thm),[a_is_party_of_protocol])).
% 0.19/0.53 fof(b_is_party_of_protocol,axiom,party_of_protocol(b),input).
% 0.19/0.53 cnf(c17,axiom,party_of_protocol(b),inference(split_conjunct,status(thm),[b_is_party_of_protocol])).
% 0.19/0.53 fof(t_is_party_of_protocol,axiom,party_of_protocol(t),input).
% 0.19/0.53 cnf(c3,axiom,party_of_protocol(t),inference(split_conjunct,status(thm),[t_is_party_of_protocol])).
% 0.19/0.53 # SZS output end Saturation
% 0.19/0.53
% 0.19/0.53 # Initial clauses : 16
% 0.19/0.53 # Processed clauses : 29
% 0.19/0.53 # Factors computed : 0
% 0.19/0.53 # Resolvents computed: 13
% 0.19/0.53 # Tautologies deleted: 0
% 0.19/0.53 # Forward subsumed : 0
% 0.19/0.53 # Backward subsumed : 6
% 0.19/0.53 # -------- CPU Time ---------
% 0.19/0.53 # User time : 0.179 s
% 0.19/0.53 # System time : 0.015 s
% 0.19/0.53 # Total time : 0.194 s
%------------------------------------------------------------------------------