TSTP Solution File: SWV750-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV750-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:07:46 EDT 2023

% Result   : Unsatisfiable 8.55s 1.58s
% Output   : CNFRefutation 8.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  14 unt;   0 nHn;  19 RR)
%            Number of literals    :   28 (  13 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  15 con; 0-3 aty)
%            Number of variables   :   24 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_6,negated_conjecture,
    v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_conjecture_6) ).

cnf(cls_conjecture_9,negated_conjecture,
    v_K = v_Ka,
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_conjecture_9) ).

cnf(cls_unique__session__keys_1,axiom,
    ( X1 = X2
    | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_unique__session__keys_1) ).

cnf(cls_conjecture_7,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_conjecture_7) ).

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_conjecture_4) ).

cnf(cls_conjecture_10,negated_conjecture,
    ( v_K != v_Ka
    | v_NA != c_Message_Omsg_ONonce(v_NAa) ),
    file('/export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p',cls_conjecture_10) ).

cnf(c_0_7,negated_conjecture,
    v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
    cls_conjecture_6 ).

cnf(c_0_8,negated_conjecture,
    v_K = v_Ka,
    cls_conjecture_9 ).

cnf(c_0_9,axiom,
    ( X1 = X2
    | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
    cls_unique__session__keys_1 ).

cnf(c_0_10,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    cls_conjecture_7 ).

cnf(c_0_11,negated_conjecture,
    hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    cls_conjecture_2 ).

cnf(c_0_12,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    cls_conjecture_4 ).

cnf(c_0_13,negated_conjecture,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))) = v_X,
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ( v_K != v_Ka
    | v_NA != c_Message_Omsg_ONonce(v_NAa) ),
    cls_conjecture_10 ).

cnf(c_0_15,negated_conjecture,
    ( v_NA = X1
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X4))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_16,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8]),c_0_8]),c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    c_Message_Omsg_ONonce(v_NAa) != v_NA,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_8])]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SWV750-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 03:54:50 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.46  Running first-order model finding
% 0.16/0.46  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.2IQkor5YUt/E---3.1_9182.p
% 8.55/1.58  # Version: 3.1pre001
% 8.55/1.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.55/1.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.55/1.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.55/1.58  # Starting new_bool_3 with 300s (1) cores
% 8.55/1.58  # Starting new_bool_1 with 300s (1) cores
% 8.55/1.58  # Starting sh5l with 300s (1) cores
% 8.55/1.58  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 9302 completed with status 0
% 8.55/1.58  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 8.55/1.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.55/1.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.55/1.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.55/1.58  # No SInE strategy applied
% 8.55/1.58  # Search class: FGHSM-FSLM31-DFFFFFNN
% 8.55/1.58  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.55/1.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 8.55/1.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.55/1.58  # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 8.55/1.58  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 8.55/1.58  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 8.55/1.58  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 9312 completed with status 0
% 8.55/1.58  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 8.55/1.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.55/1.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.55/1.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.55/1.58  # No SInE strategy applied
% 8.55/1.58  # Search class: FGHSM-FSLM31-DFFFFFNN
% 8.55/1.58  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.55/1.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 8.55/1.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.55/1.58  # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 8.55/1.58  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 8.55/1.58  # Preprocessing time       : 0.271 s
% 8.55/1.58  
% 8.55/1.58  # Proof found!
% 8.55/1.58  # SZS status Unsatisfiable
% 8.55/1.58  # SZS output start CNFRefutation
% See solution above
% 8.55/1.58  # Parsed axioms                        : 691
% 8.55/1.58  # Removed by relevancy pruning/SinE    : 0
% 8.55/1.58  # Initial clauses                      : 691
% 8.55/1.58  # Removed in clause preprocessing      : 4
% 8.55/1.58  # Initial clauses in saturation        : 687
% 8.55/1.58  # Processed clauses                    : 2580
% 8.55/1.58  # ...of these trivial                  : 128
% 8.55/1.58  # ...subsumed                          : 1077
% 8.55/1.58  # ...remaining for further processing  : 1375
% 8.55/1.58  # Other redundant clauses eliminated   : 20
% 8.55/1.58  # Clauses deleted for lack of memory   : 0
% 8.55/1.58  # Backward-subsumed                    : 82
% 8.55/1.58  # Backward-rewritten                   : 86
% 8.55/1.58  # Generated clauses                    : 16832
% 8.55/1.58  # ...of the previous two non-redundant : 14638
% 8.55/1.58  # ...aggressively subsumed             : 0
% 8.55/1.58  # Contextual simplify-reflections      : 15
% 8.55/1.58  # Paramodulations                      : 16755
% 8.55/1.58  # Factorizations                       : 2
% 8.55/1.58  # NegExts                              : 0
% 8.55/1.58  # Equation resolutions                 : 75
% 8.55/1.58  # Total rewrite steps                  : 6626
% 8.55/1.58  # Propositional unsat checks           : 0
% 8.55/1.58  #    Propositional check models        : 0
% 8.55/1.58  #    Propositional check unsatisfiable : 0
% 8.55/1.58  #    Propositional clauses             : 0
% 8.55/1.58  #    Propositional clauses after purity: 0
% 8.55/1.58  #    Propositional unsat core size     : 0
% 8.55/1.58  #    Propositional preprocessing time  : 0.000
% 8.55/1.58  #    Propositional encoding time       : 0.000
% 8.55/1.58  #    Propositional solver time         : 0.000
% 8.55/1.58  #    Success case prop preproc time    : 0.000
% 8.55/1.58  #    Success case prop encoding time   : 0.000
% 8.55/1.58  #    Success case prop solver time     : 0.000
% 8.55/1.58  # Current number of processed clauses  : 1207
% 8.55/1.58  #    Positive orientable unit clauses  : 321
% 8.55/1.58  #    Positive unorientable unit clauses: 8
% 8.55/1.58  #    Negative unit clauses             : 150
% 8.55/1.58  #    Non-unit-clauses                  : 728
% 8.55/1.58  # Current number of unprocessed clauses: 12454
% 8.55/1.58  # ...number of literals in the above   : 41473
% 8.55/1.58  # Current number of archived formulas  : 0
% 8.55/1.58  # Current number of archived clauses   : 170
% 8.55/1.58  # Clause-clause subsumption calls (NU) : 246444
% 8.55/1.58  # Rec. Clause-clause subsumption calls : 62892
% 8.55/1.58  # Non-unit clause-clause subsumptions  : 531
% 8.55/1.58  # Unit Clause-clause subsumption calls : 21230
% 8.55/1.58  # Rewrite failures with RHS unbound    : 0
% 8.55/1.58  # BW rewrite match attempts            : 3501
% 8.55/1.58  # BW rewrite match successes           : 116
% 8.55/1.58  # Condensation attempts                : 0
% 8.55/1.58  # Condensation successes               : 0
% 8.55/1.58  # Termbank termtop insertions          : 573550
% 8.55/1.58  
% 8.55/1.58  # -------------------------------------------------
% 8.55/1.58  # User time                : 1.018 s
% 8.55/1.58  # System time              : 0.043 s
% 8.55/1.58  # Total time               : 1.061 s
% 8.55/1.58  # Maximum resident set size: 3048 pages
% 8.55/1.58  
% 8.55/1.58  # -------------------------------------------------
% 8.55/1.58  # User time                : 4.958 s
% 8.55/1.58  # System time              : 0.173 s
% 8.55/1.58  # Total time               : 5.131 s
% 8.55/1.58  # Maximum resident set size: 2260 pages
% 8.55/1.58  % E---3.1 exiting
%------------------------------------------------------------------------------