TSTP Solution File: SWV353-2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n007.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 18:20:38 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 01:53:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 # No SInE strategy applied
% 0.13/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37 #
% 0.13/0.37 # Presaturation interreduction done
% 0.13/0.37 # Number of axioms: 7 Number of unprocessed: 7
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.37 # The folding up rule is enabled...
% 0.13/0.37 # Local unification is enabled...
% 0.13/0.37 # Any saturation attempts will use folding labels...
% 0.13/0.37 # 7 beginning clauses after preprocessing and clausification
% 0.13/0.37 # Creating start rules for all 5 conjectures.
% 0.13/0.37 # There are 5 start rule candidates:
% 0.13/0.37 # Found 5 unit axioms.
% 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37 # 5 start rule tableaux created.
% 0.13/0.37 # 2 extension rule candidate clauses
% 0.13/0.37 # 5 unit axiom clauses
% 0.13/0.37
% 0.13/0.37 # Requested 8, 32 cores available to the main process.
% 0.13/0.37 # There are not enough tableaux to fork, creating more from the initial 5
% 0.13/0.37 # Creating equality axioms
% 0.13/0.37 # Ran out of tableaux, making start rules for all clauses
% 0.13/0.37 # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37 # We now have 10 tableaux to operate on
% 0.13/0.37 # There were 1 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 1 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 0 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))).
% 0.13/0.37 cnf(i_0_10, negated_conjecture, (c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))).
% 0.13/0.37 cnf(i_0_12, negated_conjecture, (v_NAa!=v_NA)).
% 0.13/0.37 cnf(i_0_11, negated_conjecture, (~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg))).
% 0.13/0.37 cnf(i_0_13, plain, (c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))).
% 0.13/0.37 cnf(i_0_14, plain, (X1=X2|c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))).
% 0.13/0.37 cnf(i_0_109, plain, (X14=X14)).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 12 steps
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))), inference(start_rule)).
% 0.13/0.37 cnf(i_0_126, plain, (c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))), inference(extension_rule, [i_0_14])).
% 0.13/0.37 cnf(i_0_143, plain, (v_NAa=v_NA), inference(closure_rule, [i_0_12])).
% 0.13/0.37 cnf(i_0_144, plain, (c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)), inference(closure_rule, [i_0_11])).
% 0.13/0.37 cnf(i_0_145, plain, (~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(closure_rule, [i_0_10])).
% 0.13/0.37 cnf(i_0_146, plain, (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(extension_rule, [i_0_114])).
% 0.13/0.37 cnf(i_0_209, plain, ($false), inference(closure_rule, [i_0_109])).
% 0.13/0.37 cnf(i_0_210, plain, ($false), inference(closure_rule, [i_0_109])).
% 0.13/0.37 cnf(i_0_212, plain, (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(extension_rule, [i_0_13])).
% 0.13/0.37 cnf(i_0_214, plain, (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(closure_rule, [i_0_9])).
% 0.13/0.37 cnf(i_0_215, plain, (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))), inference(closure_rule, [i_0_8])).
% 0.13/0.37 cnf(i_0_211, plain, ($false), inference(etableau_closure_rule, [i_0_211, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # There were 1 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 1 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 0 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))).
% 0.13/0.37 cnf(i_0_10, negated_conjecture, (c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))).
% 0.13/0.37 cnf(i_0_12, negated_conjecture, (v_NAa!=v_NA)).
% 0.13/0.37 cnf(i_0_11, negated_conjecture, (~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg))).
% 0.13/0.37 cnf(i_0_13, plain, (c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X3,X4)))),X7)),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)|~c_in(X5,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))).
% 0.13/0.37 cnf(i_0_14, plain, (X1=X2|c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)|~c_in(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)|~c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)))).
% 0.13/0.37 cnf(i_0_109, plain, (X14=X14)).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 12 steps
% 0.13/0.37 cnf(i_0_10, negated_conjecture, (c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_127, plain, (c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(extension_rule, [i_0_14])).
% 0.13/0.37 cnf(i_0_194, plain, (v_NAa=v_NA), inference(closure_rule, [i_0_12])).
% 0.13/0.37 cnf(i_0_195, plain, (c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)), inference(closure_rule, [i_0_11])).
% 0.13/0.37 cnf(i_0_198, plain, (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))), inference(closure_rule, [i_0_8])).
% 0.13/0.37 cnf(i_0_197, plain, (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba# There were 1 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 1 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 0 successful branch saturations after the branch.
% 0.13/0.37 ),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(extension_rule, [i_0_114])).
% 0.13/0.37 cnf(i_0_212, plain, ($false), inference(closure_rule, [i_0_109])).
% 0.13/0.37 cnf(i_0_213, plain, ($false), inference(closure_rule, [i_0_109])).
% 0.13/0.37 cnf(i_0_215, plain, (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(extension_rule, [i_0_13])).
% 0.13/0.37 cnf(i_0_217, plain, (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)), inference(closure_rule, [i_0_9])).
% 0.13/0.37 cnf(i_0_218, plain, (~c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))), inference(closure_rule, [i_0_8])).
% 0.13/0.37 cnf(i_0_214, plain, ($false), inference(etableau_closure_rule, [i_0_214, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # Child (28201) has found a proof.
% 0.13/0.37
% 0.13/0.37 # Proof search is over...
% 0.13/0.37 # Freeing feature tree
%------------------------------------------------------------------------------