%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SWV014+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %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 18:18:56 EDT 2022 % Result : Theorem 0.12s 0.39s % Output : CNFRefutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV014+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 09:15:56 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.37 # No SInE strategy applied % 0.12/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d % 0.12/0.37 # and selection function SelectCQIPrecWNTNp. % 0.12/0.37 # % 0.12/0.37 # Presaturation interreduction done % 0.12/0.37 # Number of axioms: 38 Number of unprocessed: 38 % 0.12/0.37 # Tableaux proof search. % 0.12/0.37 # APR header successfully linked. % 0.12/0.37 # Hello from C++ % 0.12/0.38 # The folding up rule is enabled... % 0.12/0.38 # Local unification is enabled... % 0.12/0.38 # Any saturation attempts will use folding labels... % 0.12/0.38 # 38 beginning clauses after preprocessing and clausification % 0.12/0.38 # Creating start rules for all 1 conjectures. % 0.12/0.38 # There are 1 start rule candidates: % 0.12/0.38 # Found 14 unit axioms. % 0.12/0.38 # 1 start rule tableaux created. % 0.12/0.38 # 24 extension rule candidate clauses % 0.12/0.38 # 14 unit axiom clauses % 0.12/0.38 % 0.12/0.38 # Requested 8, 32 cores available to the main process. % 0.12/0.38 # There are not enough tableaux to fork, creating more from the initial 1 % 0.12/0.38 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux. % 0.12/0.38 # We now have 14 tableaux to operate on % 0.12/0.39 # There were 2 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 2 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 2 successful branch saturations after the branch. % 0.12/0.39 # There were 2 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 2 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 2 successful branch saturations after the branch. % 0.12/0.39 # There were 2 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 2 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 2 successful branch saturations after the branch. % 0.12/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # Begin clausification derivation % 0.12/0.39 % 0.12/0.39 # End clausification derivation % 0.12/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.39 cnf(i_0_2, plain, (party_of_protocol(a))). % 0.12/0.39 cnf(i_0_8, plain, (party_of_protocol(b))). % 0.12/0.39 cnf(i_0_15, plain, (party_of_protocol(t))). % 0.12/0.39 cnf(i_0_9, plain, (fresh_to_b(an_a_nonce))). % 0.12/0.39 cnf(i_0_34, plain, (a_nonce(an_a_nonce))). % 0.12/0.39 cnf(i_0_36, plain, (a_nonce(generate_b_nonce(X1)))). % 0.12/0.39 cnf(i_0_37, plain, (a_nonce(generate_expiration_time(X1)))). % 0.12/0.39 cnf(i_0_7, plain, (b_holds(key(bt,t)))). % 0.12/0.39 cnf(i_0_13, plain, (t_holds(key(at,a)))). % 0.12/0.39 cnf(i_0_14, plain, (t_holds(key(bt,b)))). % 0.12/0.39 cnf(i_0_1, plain, (a_holds(key(at,t)))). % 0.12/0.39 cnf(i_0_4, plain, (a_stored(pair(b,an_a_nonce)))). % 0.12/0.39 cnf(i_0_3, plain, (message(sent(a,b,pair(a,an_a_nonce))))). % 0.12/0.39 cnf(i_0_35, plain, (~a_nonce(generate_key(X1)))). % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(X1,b))|~b_holds(key(X1,a)))). % 0.12/0.39 cnf(i_0_18, plain, (intruder_message(X1)|~intruder_message(pair(X2,X1)))). % 0.12/0.39 cnf(i_0_19, plain, (intruder_message(X1)|~intruder_message(pair(X1,X2)))). % 0.12/0.39 cnf(i_0_27, plain, (intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_17, plain, (intruder_message(X1)|~message(sent(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_20, plain, (intruder_message(X1)|~intruder_message(triple(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_21, plain, (intruder_message(X1)|~intruder_message(triple(X2,X1,X3)))). % 0.12/0.39 cnf(i_0_22, plain, (intruder_message(X1)|~intruder_message(triple(X1,X2,X3)))). % 0.12/0.39 cnf(i_0_32, plain, (intruder_holds(key(X1,X2))|~intruder_message(X1)|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_23, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X4,X1)))). % 0.12/0.39 cnf(i_0_24, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X1,X4)))). % 0.12/0.39 cnf(i_0_25, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X1,X3,X4)))). % 0.12/0.39 cnf(i_0_26, plain, (intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4)))). % 0.12/0.39 cnf(i_0_33, plain, (intruder_message(encrypt(X1,X2))|~intruder_holds(key(X2,X3))|~intruder_message(X1)|~party_of_protocol(X3))). % 0.12/0.39 cnf(i_0_31, plain, (message(sent(X1,X2,X3))|~intruder_message(X3)|~party_of_protocol(X2)|~party_of_protocol(X1))). % 0.12/0.39 cnf(i_0_30, plain, (intruder_message(X1)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_28, plain, (intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_10, plain, (b_stored(pair(X1,X2))|~fresh_to_b(X2)|~message(sent(X1,b,pair(X1,X2))))). % 0.12/0.39 cnf(i_0_29, plain, (intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_5, plain, (a_holds(key(X1,X2))|~a_stored(pair(X2,X3))|~message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))))). % 0.12/0.39 cnf(i_0_12, plain, (b_holds(key(X1,X2))|~b_stored(pair(X2,X3))|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))))). % 0.12/0.39 cnf(i_0_6, plain, (message(sent(a,X1,pair(X2,encrypt(X3,X4))))|~a_stored(pair(X1,X5))|~message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))))). % 0.12/0.39 cnf(i_0_11, plain, (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1))))). % 0.12/0.39 cnf(i_0_16, plain, (message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X5,X1))|~t_holds(key(X6,X2))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))))). % 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.39 # Begin printing tableau % 0.12/0.39 # Found 15 steps % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(an_a_nonce,b))|~b_holds(key(an_a_nonce,a))), inference(start_rule)). % 0.12/0.39 cnf(i_0_40, plain, (~b_holds(key(an_a_nonce,a))), inference(extension_rule, [i_0_12])). % 0.12/0.39 cnf(i_0_165, plain, (~message(sent(a,b,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))))), inference(extension_rule, [i_0_31])). % 0.12/0.39 cnf(i_0_280, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_281, plain, (~party_of_protocol(a)), inference(closure_rule, [i_0_2])). % 0.12/0.39 cnf(i_0_279, plain, (~intruder_message(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)))), inference(extension_rule, [i_0_25])). % 0.12/0.39 cnf(i_0_164, plain, (~b_stored(pair(a,an_a_nonce))), inference(extension_rule, [i_0_10])). % 0.12/0.39 cnf(i_0_543, plain, (~fresh_to_b(an_a_nonce)), inference(closure_rule, [i_0_9])). % 0.12/0.39 cnf(i_0_544, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_39, plain, (~intruder_holds(key(an_a_nonce,b))), inference(extension_rule, [i_0_32])). % 0.12/0.39 cnf(i_0_562, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_561, plain, (~intruder_message(an_a_nonce)), inference(extension_rule, [i_0_18])). % 0.12/0.39 cnf(i_0_564, plain, (~intruder_message(pair(a,an_a_nonce))), inference(extension_rule, [i_0_17])). % 0.12/0.39 cnf(i_0_571, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_454, plain, (~intruder_message(quadruple(X7,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)),X8,X9))), inference(etableau_closure_rule, [i_0_454, ...])). % 0.12/0.39 # End printing tableau % 0.12/0.39 # SZS output end % 0.12/0.39 # Branches closed with saturation will be marked with an "s" % 0.12/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # Begin clausification derivation % 0.12/0.39 % 0.12/0.39 # End clausification derivation % 0.12/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.39 cnf(i_0_2, plain, (party_of_protocol(a))). % 0.12/0.39 cnf(i_0_8, plain, (party_of_protocol(b))). % 0.12/0.39 cnf(i_0_15, plain, (party_of_protocol(t))). % 0.12/0.39 cnf(i_0_9, plain, (fresh_to_b(an_a_nonce))). % 0.12/0.39 cnf(i_0_34, plain, (a_nonce(an_a_nonce))). % 0.12/0.39 cnf(i_0_36, plain, (a_nonce(generate_b_nonce(X1)))). % 0.12/0.39 cnf(i_0_37, plain, (a_nonce(generate_expiration_time(X1)))). % 0.12/0.39 cnf(i_0_7, plain, (b_holds(key(bt,t)))). % 0.12/0.39 cnf(i_0_13, plain, (t_holds(key(at,a)))). % 0.12/0.39 cnf(i_0_14, plain, (t_holds(key(bt,b)))). % 0.12/0.39 cnf(i_0_1, plain, (a_holds(key(at,t)))). % 0.12/0.39 cnf(i_0_4, plain, (a_stored(pair(b,an_a_nonce)))). % 0.12/0.39 cnf(i_0_3, plain, (message(sent(a,b,pair(a,an_a_nonce))))). % 0.12/0.39 cnf(i_0_35, plain, (~a_nonce(generate_key(X1)))). % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(X1,b))|~b_holds(key(X1,a)))). % 0.12/0.39 cnf(i_0_18, plain, (intruder_message(X1)|~intruder_message(pair(X2,X1)))). % 0.12/0.39 cnf(i_0_19, plain, (intruder_message(X1)|~intruder_message(pair(X1,X2)))). % 0.12/0.39 cnf(i_0_27, plain, (intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_17, plain, (intruder_message(X1)|~message(sent(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_20, plain, (intruder_message(X1)|~intruder_message(triple(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_21, plain, (intruder_message(X1)|~intruder_message(triple(X2,X1,X3)))). % 0.12/0.39 cnf(i_0_22, plain, (intruder_message(X1)|~intruder_message(triple(X1,X2,X3)))). % 0.12/0.39 cnf(i_0_32, plain, (intruder_holds(key(X1,X2))|~intruder_message(X1)|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_23, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X4,X1)))). % 0.12/0.39 cnf(i_0_24, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X1,X4)))). % 0.12/0.39 cnf(i_0_25, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X1,X3,X4)))). % 0.12/0.39 cnf(i_0_26, plain, (intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4)))). % 0.12/0.39 cnf(i_0_33, plain, (intruder_message(encrypt(X1,X2))|~intruder_holds(key(X2,X3))|~intruder_message(X1)|~party_of_protocol(X3))). % 0.12/0.39 cnf(i_0_31, plain, (message(sent(X1,X2,X3))|~intruder_message(X3)|~party_of_protocol(X2)|~party_of_protocol(X1))). % 0.12/0.39 cnf(i_0_30, plain, (intruder_message(X1)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_28, plain, (intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_10, plain, (b_stored(pair(X1,X2))|~fresh_to_b(X2)|~message(sent(X1,b,pair(X1,X2))))). % 0.12/0.39 cnf(i_0_29, plain, (intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_5, plain, (a_holds(key(X1,X2))|~a_stored(pair(X2,X3))|~message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))))). % 0.12/0.39 cnf(i_0_12, plain, (b_holds(key(X1,X2))|~b_stored(pair(X2,X3))|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))))). % 0.12/0.39 cnf(i_0_6, plain, (message(sent(a,X1,pair(X2,encrypt(X3,X4))))|~a_stored(pair(X1,X5))|~message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))))). % 0.12/0.39 cnf(i_0_11, plain, (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1))))). % 0.12/0.39 cnf(i_0_16, plain, (message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X5,X1))|~t_holds(key(X6,X2))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))))). % 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.39 # Begin printing tableau % 0.12/0.39 # Found 15 steps % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(an_a_nonce,b))|~b_holds(key(an_a_nonce,a))), inference(start_rule)). % 0.12/0.39 cnf(i_0_40, plain, (~b_holds(key(an_a_nonce,a))), inference(extension_rule, [i_0_12])). % 0.12/0.39 cnf(i_0_165, plain, (~message(sent(a,b,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))))), inference(extension_rule, [i_0_31])). % 0.12/0.39 cnf(i_0_280, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_281, plain, (~party_of_protocol(a)), inference(closure_rule, [i_0_2])). % 0.12/0.39 cnf(i_0_279, plain, (~intruder_message(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)))), inference(extension_rule, [i_0_26])). % 0.12/0.39 cnf(i_0_164, plain, (~b_stored(pair(a,an_a_nonce))), inference(extension_rule, [i_0_10])). % 0.12/0.39 cnf(i_0_543, plain, (~fresh_to_b(an_a_nonce)), inference(closure_rule, [i_0_9])). % 0.12/0.39 cnf(i_0_544, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_39, plain, (~intruder_holds(key(an_a_nonce,b))), inference(extension_rule, [i_0_32])). % 0.12/0.39 cnf(i_0_562, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_561, plain, (~intruder_message(an_a_nonce)), inference(extension_rule, [i_0_18])). % 0.12/0.39 cnf(i_0_564, plain, (~intruder_message(pair(a,an_a_nonce))), inference(extension_rule, [i_0_17])). % 0.12/0.39 cnf(i_0_571, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_456, plain, (~intruder_message(quadruple(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)),X7,X8,X9))), inference(etableau_closure_rule, [i_0_456, ...])). % 0.12/0.39 # End printing tableau % 0.12/0.39 # SZS output end % 0.12/0.39 # Branches closed with saturation will be marked with an "s" % 0.12/0.39 # There were 2 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 2 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 2 successful branch saturations after the branch. % 0.12/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # Begin clausification derivation % 0.12/0.39 % 0.12/0.39 # End clausification derivation % 0.12/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.39 cnf(i_0_2, plain, (party_of_protocol(a))). % 0.12/0.39 cnf(i_0_8, plain, (party_of_protocol(b))). % 0.12/0.39 cnf(i_0_15, plain, (party_of_protocol(t))). % 0.12/0.39 cnf(i_0_9, plain, (fresh_to_b(an_a_nonce))). % 0.12/0.39 cnf(i_0_34, plain, (a_nonce(an_a_nonce))). % 0.12/0.39 cnf(i_0_36, plain, (a_nonce(generate_b_nonce(X1)))). % 0.12/0.39 cnf(i_0_37, plain, (a_nonce(generate_expiration_time(X1)))). % 0.12/0.39 cnf(i_0_7, plain, (b_holds(key(bt,t)))). % 0.12/0.39 cnf(i_0_13, plain, (t_holds(key(at,a)))). % 0.12/0.39 cnf(i_0_14, plain, (t_holds(key(bt,b)))). % 0.12/0.39 cnf(i_0_1, plain, (a_holds(key(at,t)))). % 0.12/0.39 cnf(i_0_4, plain, (a_stored(pair(b,an_a_nonce)))). % 0.12/0.39 cnf(i_0_3, plain, (message(sent(a,b,pair(a,an_a_nonce))))). % 0.12/0.39 cnf(i_0_35, plain, (~a_nonce(generate_key(X1)))). % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(X1,b))|~b_holds(key(X1,a)))). % 0.12/0.39 cnf(i_0_18, plain, (intruder_message(X1)|~intruder_message(pair(X2,X1)))). % 0.12/0.39 cnf(i_0_19, plain, (intruder_message(X1)|~intruder_message(pair(X1,X2)))). % 0.12/0.39 cnf(i_0_27, plain, (intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_17, plain, (intruder_message(X1)|~message(sent(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_20, plain, (intruder_message(X1)|~intruder_message(triple(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_21, plain, (intruder_message(X1)|~intruder_message(triple(X2,X1,X3)))). % 0.12/0.39 cnf(i_0_22, plain, (intruder_message(X1)|~intruder_message(triple(X1,X2,X3)))). % 0.12/0.39 cnf(i_0_32, plain, (intruder_holds(key(X1,X2))|~intruder_message(X1)|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_23, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X4,X1)))). % 0.12/0.39 cnf(i_0_24, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X1,X4)))). % 0.12/0.39 cnf(i_0_25, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X1,X3,X4)))). % 0.12/0.39 cnf(i_0_26, plain, (intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4)))). % 0.12/0.39 cnf(i_0_33, plain, (intruder_message(encrypt(X1,X2))|~intruder_holds(key(X2,X3))|~intruder_message(X1)|~party_of_protocol(X3))). % 0.12/0.39 cnf(i_0_31, plain, (message(sent(X1,X2,X3))|~intruder_message(X3)|~party_of_protocol(X2)|~party_of_protocol(X1))). % 0.12/0.39 cnf(i_0_30, plain, (intruder_message(X1)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_28, plain, (intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_10, plain, (b_stored(pair(X1,X2))|~fresh_to_b(X2)|~message(sent(X1,b,pair(X1,X2))))). % 0.12/0.39 cnf(i_0_29, plain, (intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_5, plain, (a_holds(key(X1,X2))|~a_stored(pair(X2,X3))|~message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))))). % 0.12/0.39 cnf(i_0_12, plain, (b_holds(key(X1,X2))|~b_stored(pair(X2,X3))|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))))). % 0.12/0.39 cnf(i_0_6, plain, (message(sent(a,X1,pair(X2,encrypt(X3,X4))))|~a_stored(pair(X1,X5))|~message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))))). % 0.12/0.39 cnf(i_0_11, plain, (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1))))). % 0.12/0.39 cnf(i_0_16, plain, (message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X5,X1))|~t_holds(key(X6,X2))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))))). % 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.39 # Begin printing tableau % 0.12/0.39 # Found 15 steps % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(an_a_nonce,b))|~b_holds(key(an_a_nonce,a))), inference(start_rule)). % 0.12/0.39 cnf(i_0_40, plain, (~b_holds(key(an_a_nonce,a))), inference(extension_rule, [i_0_12])). % 0.12/0.39 cnf(i_0_165, plain, (~message(sent(a,b,pair(encrypt(triple(a,an_a_# There were 2 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 2 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 2 successful branch saturations after the branch. % 0.12/0.39 nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))))), inference(extension_rule, [i_0_31])). % 0.12/0.39 cnf(i_0_280, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_281, plain, (~party_of_protocol(a)), inference(closure_rule, [i_0_2])). % 0.12/0.39 cnf(i_0_279, plain, (~intruder_message(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)))), inference(extension_rule, [i_0_23])). % 0.12/0.39 cnf(i_0_164, plain, (~b_stored(pair(a,an_a_nonce))), inference(extension_rule, [i_0_10])). % 0.12/0.39 cnf(i_0_543, plain, (~fresh_to_b(an_a_nonce)), inference(closure_rule, [i_0_9])). % 0.12/0.39 cnf(i_0_544, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_39, plain, (~intruder_holds(key(an_a_nonce,b))), inference(extension_rule, [i_0_32])). % 0.12/0.39 cnf(i_0_562, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_561, plain, (~intruder_message(an_a_nonce)), inference(extension_rule, [i_0_18])). % 0.12/0.39 cnf(i_0_564, plain, (~intruder_message(pair(a,an_a_nonce))), inference(extension_rule, [i_0_17])). % 0.12/0.39 cnf(i_0_571, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_450, plain, (~intruder_message(quadruple(X7,X8,X9,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))))), inference(etableau_closure_rule, [i_0_450, ...])). % 0.12/0.39 # End printing tableau % 0.12/0.39 # SZS output end % 0.12/0.39 # Branches closed with saturation will be marked with an "s" % 0.12/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # Begin clausification derivation % 0.12/0.39 % 0.12/0.39 # End clausification derivation % 0.12/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.39 cnf(i_0_2, plain, (party_of_protocol(a))). % 0.12/0.39 cnf(i_0_8, plain, (party_of_protocol(b))). % 0.12/0.39 cnf(i_0_15, plain, (party_of_protocol(t))). % 0.12/0.39 cnf(i_0_9, plain, (fresh_to_b(an_a_nonce))). % 0.12/0.39 cnf(i_0_34, plain, (a_nonce(an_a_nonce))). % 0.12/0.39 cnf(i_0_36, plain, (a_nonce(generate_b_nonce(X1)))). % 0.12/0.39 cnf(i_0_37, plain, (a_nonce(generate_expiration_time(X1)))). % 0.12/0.39 cnf(i_0_7, plain, (b_holds(key(bt,t)))). % 0.12/0.39 cnf(i_0_13, plain, (t_holds(key(at,a)))). % 0.12/0.39 cnf(i_0_14, plain, (t_holds(key(bt,b)))). % 0.12/0.39 cnf(i_0_1, plain, (a_holds(key(at,t)))). % 0.12/0.39 cnf(i_0_4, plain, (a_stored(pair(b,an_a_nonce)))). % 0.12/0.39 cnf(i_0_3, plain, (message(sent(a,b,pair(a,an_a_nonce))))). % 0.12/0.39 cnf(i_0_35, plain, (~a_nonce(generate_key(X1)))). % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(X1,b))|~b_holds(key(X1,a)))). % 0.12/0.39 cnf(i_0_18, plain, (intruder_message(X1)|~intruder_message(pair(X2,X1)))). % 0.12/0.39 cnf(i_0_19, plain, (intruder_message(X1)|~intruder_message(pair(X1,X2)))). % 0.12/0.39 cnf(i_0_27, plain, (intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_17, plain, (intruder_message(X1)|~message(sent(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_20, plain, (intruder_message(X1)|~intruder_message(triple(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_21, plain, (intruder_message(X1)|~intruder_message(triple(X2,X1,X3)))). % 0.12/0.39 cnf(i_0_22, plain, (intruder_message(X1)|~intruder_message(triple(X1,X2,X3)))). % 0.12/0.39 cnf(i_0_32, plain, (intruder_holds(key(X1,X2))|~intruder_message(X1)|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_23, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X4,X1)))). % 0.12/0.39 cnf(i_0_24, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X1,X4)))). % 0.12/0.39 cnf(i_0_25, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X1,X3,X4)))). % 0.12/0.39 cnf(i_0_26, plain, (intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4)))). % 0.12/0.39 cnf(i_0_33, plain, (intruder_message(encrypt(X1,X2))|~intruder_holds(key(X2,X3))|~intruder_message(X1)|~party_of_protocol(X3))). % 0.12/0.39 cnf(i_0_31, plain, (message(sent(X1,X2,X3))|~intruder_message(X3)|~party_of_protocol(X2)|~party_of_protocol(X1))). % 0.12/0.39 cnf(i_0_30, plain, (intruder_message(X1)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_28, plain, (intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_10, plain, (b_stored(pair(X1,X2))|~fresh_to_b(X2)|~message(sent(X1,b,pair(X1,X2))))). % 0.12/0.39 cnf(i_0_29, plain, (intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_5, plain, (a_holds(key(X1,X2))|~a_stored(pair(X2,X3))|~message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))))). % 0.12/0.39 cnf(i_0_12, plain, (b_holds(key(X1,X2))|~b_stored(pair(X2,X3))|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))))). % 0.12/0.39 cnf(i_0_6, plain, (message(sent(a,X1,pair(X2,encrypt(X3,X4))))|~a_stored(pair(X1,X5))|~message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))))). % 0.12/0.39 cnf(i_0_11, plain, (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1))))). % 0.12/0.39 cnf(i_0_16, plain, (message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X5,X1))|~t_holds(key(X6,X2))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))))). % 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.39 # Begin printing tableau % 0.12/0.39 # Found 15 steps % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(an_a_nonce,b))|~b_holds(key(an_a_nonce,a))), inference(start_rule)). % 0.12/0.39 cnf(i_0_40, plain, (~b_holds(key(an_a_nonce,a))), inference(extension_rule, [i_0_12])). % 0.12/0.39 cnf(i_0_165, plain, (~message(sent(a,b,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))))), inference(extension_rule, [i_0_31])). % 0.12/0.39 cnf(i_0_280, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_281, plain, (~party_of_protocol(a)), inference(closure_rule, [i_0_2])). % 0.12/0.39 cnf(i_0_279, plain, (~intruder_message(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)))), inference(extension_rule, [i_0_22])). % 0.12/0.39 cnf(i_0_164, plain, (~b_stored(pair(a,an_a_nonce))), inference(extension_rule, [i_0_10])). % 0.12/0.39 cnf(i_0_543, plain, (~fresh_to_b(an_a_nonce)), inference(closure_rule, [i_0_9])). % 0.12/0.39 cnf(i_0_544, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_39, plain, (~intruder_holds(key(an_a_nonce,b))), inference(extension_rule, [i_0_32])). % 0.12/0.39 cnf(i_0_562, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_561, plain, (~intruder_message(an_a_nonce)), inference(extension_rule, [i_0_18])). % 0.12/0.39 cnf(i_0_564, plain, (~intruder_message(pair(a,an_a_nonce))), inference(extension_rule, [i_0_17])). % 0.12/0.39 cnf(i_0_571, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_445, plain, (~intruder_message(triple(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)),X7,X8))), inference(etableau_closure_rule, [i_0_445, ...])). % 0.12/0.39 # End printing tableau % 0.12/0.39 # SZS output end % 0.12/0.39 # Branches closed with saturation will be marked with an "s" % 0.12/0.39 # There were 2 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 2 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 2 successful branch saturations after the branch. % 0.12/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # Begin clausification derivation % 0.12/0.39 % 0.12/0.39 # End clausification derivation % 0.12/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.39 cnf(i_0_2, plain, (party_of_protocol(a))). % 0.12/0.39 cnf(i_0_8, plain, (party_of_protocol(b))). % 0.12/0.39 cnf(i_0_15, plain, (party_of_protocol(t))). % 0.12/0.39 cnf(i_0_9, plain, (fresh_to_b(an_a_nonce))). % 0.12/0.39 cnf(i_0_34, plain, (a_nonce(an_a_nonce))). % 0.12/0.39 cnf(i_0_36, plain, (a_nonce(generate_b_nonce(X1)))). % 0.12/0.39 cnf(i_0_37, plain, (a_nonce(generate_expiration_time(X1)))). % 0.12/0.39 cnf(i_0_7, plain, (b_holds(key(bt,t)))). % 0.12/0.39 cnf(i_0_13, plain, (t_holds(key(at,a)))). % 0.12/0.39 cnf(i_0_14, plain, (t_holds(key(bt,b)))). % 0.12/0.39 cnf(i_0_1, plain, (a_holds(key(at,t)))). % 0.12/0.39 cnf(i_0_4, plain, (a_stored(pair(b,an_a_nonce)))). % 0.12/0.39 cnf(i_0_3, plain, (message(sent(a,b,pair(a,an_a_nonce))))). % 0.12/0.39 cnf(i_0_35, plain, (~a_nonce(generate_key(X1)))). % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(X1,b))|~b_holds(key(X1,a)))). % 0.12/0.39 cnf(i_0_18, plain, (intruder_message(X1)|~intruder_message(pair(X2,X1)))). % 0.12/0.39 cnf(i_0_19, plain, (intruder_message(X1)|~intruder_message(pair(X1,X2)))). % 0.12/0.39 cnf(i_0_27, plain, (intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_17, plain, (intruder_message(X1)|~message(sent(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_20, plain, (intruder_message(X1)|~intruder_message(triple(X2,X3,X1)))). % 0.12/0.39 cnf(i_0_21, plain, (intruder_message(X1)|~intruder_message(triple(X2,X1,X3)))). % 0.12/0.39 cnf(i_0_22, plain, (intruder_message(X1)|~intruder_message(triple(X1,X2,X3)))). % 0.12/0.39 cnf(i_0_32, plain, (intruder_holds(key(X1,X2))|~intruder_message(X1)|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_23, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X4,X1)))). % 0.12/0.39 cnf(i_0_24, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X3,X1,X4)))). % 0.12/0.39 cnf(i_0_25, plain, (intruder_message(X1)|~intruder_message(quadruple(X2,X1,X3,X4)))). % 0.12/0.39 cnf(i_0_26, plain, (intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4)))). % 0.12/0.39 cnf(i_0_33, plain, (intruder_message(encrypt(X1,X2))|~intruder_holds(key(X2,X3))|~intruder_message(X1)|~party_of_protocol(X3))). % 0.12/0.39 cnf(i_0_31, plain, (message(sent(X1,X2,X3))|~intruder_message(X3)|~party_of_protocol(X2)|~party_of_protocol(X1))). % 0.12/0.39 cnf(i_0_30, plain, (intruder_message(X1)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))|~party_of_protocol(X2))). % 0.12/0.39 cnf(i_0_28, plain, (intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_10, plain, (b_stored(pair(X1,X2))|~fresh_to_b(X2)|~message(sent(X1,b,pair(X1,X2))))). % 0.12/0.39 cnf(i_0_29, plain, (intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1))). % 0.12/0.39 cnf(i_0_5, plain, (a_holds(key(X1,X2))|~a_stored(pair(X2,X3))|~message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6))))). % 0.12/0.39 cnf(i_0_12, plain, (b_holds(key(X1,X2))|~b_stored(pair(X2,X3))|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))))). % 0.12/0.39 cnf(i_0_6, plain, (message(sent(a,X1,pair(X2,encrypt(X3,X4))))|~a_stored(pair(X1,X5))|~message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))))). % 0.12/0.39 cnf(i_0_11, plain, (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1))))). % 0.12/0.39 cnf(i_0_16, plain, (message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X5,X1))|~t_holds(key(X6,X2))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6)))))). % 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.39 # Begin printing tableau % 0.12/0.39 # Found 15 steps % 0.12/0.39 cnf(i_0_38, negated_conjecture, (~intruder_holds(key(an_a_nonce,b))|~b_holds(key(an_a_nonce,a))), inference(start_rule)). % 0.12/0.39 cnf(i_0_40, plain, (~b_holds(key(an_a_nonce,a))), inference(extension_rule, [i_0_12])). % 0.12/0.39 cnf(i_0_165, plain, (~message(sent(a,b,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))))), inference(extension_rule, [i_0_31])). % 0.12/0.39 cnf(i_0_280, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_281, plain, (~party_of_protocol(a)), inference(closure_rule, [i_0_2])). % 0.12/0.39 cnf(i_0_279, plain, (~intruder_message(pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)))), inference(extension_rule, [i_0_21])). % 0.12/0.39 cnf(i_0_164, plain, (~b_stored(pair(a,an_a_nonce))), inference(extension_rule, [i_0_10])). % 0.12/0.39 cnf(i_0_543, plain, (~fresh_to_b(an_a_nonce)), inference(closure_rule, [i_0_9])). % 0.12/0.39 cnf(i_0_544, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_39, plain, (~intruder_holds(key(an_a_nonce,b))), inference(extension_rule, [i_0_32])). % 0.12/0.39 cnf(i_0_562, plain, (~party_of_protocol(b)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_561, plain, (~intruder_message(an_a_nonce)), inference(extension_rule, [i_0_18])). % 0.12/0.39 cnf(i_0_564, plain, (~intruder_message(pair(a,an_a_nonce))), inference(extension_rule, [i_0_17])). % 0.12/0.39 cnf(i_0_571, plain, (~message(sent(a,b,pair(a,an_a_nonce)))), inference(closure_rule, [i_0_3])). % 0.12/0.39 cnf(i_0_443, plain, (~intruder_message(triple(X7,pair(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)),X8))), inference(etableau_closure_rule, [i_0_443, ...])). % 0.12/0.39 # End printing tableau % 0.12/0.39 # SZS output end % 0.12/0.39 # Branches closed with saturation will be marked with an "s" % 0.12/0.39 # Child (24226) has found a proof. % 0.12/0.39 % 0.12/0.39 # Proof search is over... % 0.12/0.39 # Freeing feature tree %------------------------------------------------------------------------------