TSTP Solution File: SWV345-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV345-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:56:58 EDT 2023

% Result   : Unsatisfiable 51.73s 7.25s
% Output   : CNFRefutation 51.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   5 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-3 aty)
%            Number of variables   :   29 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Ounique__session__keys__dest_3,axiom,
    ( X11 = X6
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(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(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/tmp/tmp.PWNPHqS9PE/E---3.1_8208.p',cls_Yahalom_Ounique__session__keys__dest_3) ).

cnf(cls_conjecture_3,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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.PWNPHqS9PE/E---3.1_8208.p',cls_conjecture_3) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.PWNPHqS9PE/E---3.1_8208.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.PWNPHqS9PE/E---3.1_8208.p',cls_conjecture_4) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_nb != c_Message_Omsg_ONonce(v_NB),
    file('/export/starexec/sandbox/tmp/tmp.PWNPHqS9PE/E---3.1_8208.p',cls_conjecture_7) ).

cnf(c_0_5,axiom,
    ( X11 = X6
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(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(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_Ounique__session__keys__dest_3 ).

cnf(c_0_6,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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_3 ).

cnf(c_0_7,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_8,negated_conjecture,
    ( X1 = c_Message_Omsg_ONonce(v_NB)
    | ~ 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(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X4,X1)))),X5)),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_5,c_0_6]),c_0_7])]) ).

cnf(c_0_9,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_4 ).

cnf(c_0_10,negated_conjecture,
    v_nb != c_Message_Omsg_ONonce(v_NB),
    cls_conjecture_7 ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWV345-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n007.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 04:13:54 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.45/0.63  Running first-order model finding
% 0.45/0.63  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.PWNPHqS9PE/E---3.1_8208.p
% 51.73/7.25  # Version: 3.1pre001
% 51.73/7.25  # Preprocessing class: FMLMSMSMSSSNFFN.
% 51.73/7.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.73/7.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 51.73/7.25  # Starting new_bool_3 with 300s (1) cores
% 51.73/7.25  # Starting new_bool_1 with 300s (1) cores
% 51.73/7.25  # Starting sh5l with 300s (1) cores
% 51.73/7.25  # new_bool_3 with pid 8286 completed with status 0
% 51.73/7.25  # Result found by new_bool_3
% 51.73/7.25  # Preprocessing class: FMLMSMSMSSSNFFN.
% 51.73/7.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.73/7.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 51.73/7.25  # Starting new_bool_3 with 300s (1) cores
% 51.73/7.25  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 51.73/7.25  # Search class: FGHSM-FSLM31-DFFFFFNN
% 51.73/7.25  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 51.73/7.25  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 51.73/7.25  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 8290 completed with status 0
% 51.73/7.25  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 51.73/7.25  # Preprocessing class: FMLMSMSMSSSNFFN.
% 51.73/7.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.73/7.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 51.73/7.25  # Starting new_bool_3 with 300s (1) cores
% 51.73/7.25  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 51.73/7.25  # Search class: FGHSM-FSLM31-DFFFFFNN
% 51.73/7.25  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 51.73/7.25  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 51.73/7.25  # Preprocessing time       : 0.008 s
% 51.73/7.25  # Presaturation interreduction done
% 51.73/7.25  
% 51.73/7.25  # Proof found!
% 51.73/7.25  # SZS status Unsatisfiable
% 51.73/7.25  # SZS output start CNFRefutation
% See solution above
% 51.73/7.25  # Parsed axioms                        : 2953
% 51.73/7.25  # Removed by relevancy pruning/SinE    : 2354
% 51.73/7.25  # Initial clauses                      : 599
% 51.73/7.25  # Removed in clause preprocessing      : 0
% 51.73/7.25  # Initial clauses in saturation        : 599
% 51.73/7.25  # Processed clauses                    : 36350
% 51.73/7.25  # ...of these trivial                  : 1442
% 51.73/7.25  # ...subsumed                          : 28497
% 51.73/7.25  # ...remaining for further processing  : 6411
% 51.73/7.25  # Other redundant clauses eliminated   : 1602
% 51.73/7.25  # Clauses deleted for lack of memory   : 0
% 51.73/7.25  # Backward-subsumed                    : 414
% 51.73/7.25  # Backward-rewritten                   : 458
% 51.73/7.25  # Generated clauses                    : 282203
% 51.73/7.25  # ...of the previous two non-redundant : 245314
% 51.73/7.25  # ...aggressively subsumed             : 0
% 51.73/7.25  # Contextual simplify-reflections      : 22
% 51.73/7.25  # Paramodulations                      : 280531
% 51.73/7.25  # Factorizations                       : 0
% 51.73/7.25  # NegExts                              : 0
% 51.73/7.25  # Equation resolutions                 : 1672
% 51.73/7.25  # Total rewrite steps                  : 208333
% 51.73/7.25  # Propositional unsat checks           : 1
% 51.73/7.25  #    Propositional check models        : 0
% 51.73/7.25  #    Propositional check unsatisfiable : 0
% 51.73/7.25  #    Propositional clauses             : 0
% 51.73/7.25  #    Propositional clauses after purity: 0
% 51.73/7.25  #    Propositional unsat core size     : 0
% 51.73/7.25  #    Propositional preprocessing time  : 0.000
% 51.73/7.25  #    Propositional encoding time       : 0.349
% 51.73/7.25  #    Propositional solver time         : 0.219
% 51.73/7.25  #    Success case prop preproc time    : 0.000
% 51.73/7.25  #    Success case prop encoding time   : 0.000
% 51.73/7.25  #    Success case prop solver time     : 0.000
% 51.73/7.25  # Current number of processed clauses  : 5014
% 51.73/7.25  #    Positive orientable unit clauses  : 1334
% 51.73/7.25  #    Positive unorientable unit clauses: 21
% 51.73/7.25  #    Negative unit clauses             : 677
% 51.73/7.25  #    Non-unit-clauses                  : 2982
% 51.73/7.25  # Current number of unprocessed clauses: 207700
% 51.73/7.25  # ...number of literals in the above   : 492902
% 51.73/7.25  # Current number of archived formulas  : 0
% 51.73/7.25  # Current number of archived clauses   : 1397
% 51.73/7.25  # Clause-clause subsumption calls (NU) : 1041545
% 51.73/7.25  # Rec. Clause-clause subsumption calls : 558257
% 51.73/7.25  # Non-unit clause-clause subsumptions  : 5145
% 51.73/7.25  # Unit Clause-clause subsumption calls : 112129
% 51.73/7.25  # Rewrite failures with RHS unbound    : 0
% 51.73/7.25  # BW rewrite match attempts            : 7229
% 51.73/7.25  # BW rewrite match successes           : 308
% 51.73/7.25  # Condensation attempts                : 0
% 51.73/7.25  # Condensation successes               : 0
% 51.73/7.25  # Termbank termtop insertions          : 6685767
% 51.73/7.25  
% 51.73/7.25  # -------------------------------------------------
% 51.73/7.25  # User time                : 6.198 s
% 51.73/7.25  # System time              : 0.232 s
% 51.73/7.25  # Total time               : 6.430 s
% 51.73/7.25  # Maximum resident set size: 4660 pages
% 51.73/7.25  
% 51.73/7.25  # -------------------------------------------------
% 51.73/7.25  # User time                : 6.241 s
% 51.73/7.25  # System time              : 0.235 s
% 51.73/7.25  # Total time               : 6.475 s
% 51.73/7.25  # Maximum resident set size: 3632 pages
% 51.73/7.25  % E---3.1 exiting
%------------------------------------------------------------------------------