TSTP Solution File: SWV353-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV353-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 19:57:01 EDT 2023

% Result   : Unsatisfiable 35.59s 5.23s
% Output   : CNFRefutation 35.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  11 unt;   2 nHn;  18 RR)
%            Number of literals    :   33 (   8 equ;  18 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   47 (  28 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OSays__unique__NB_0,axiom,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X6 = X13
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_Yahalom_OSays__unique__NB_0) ).

cnf(cls_conjecture_5,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),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_conjecture_5) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_conjecture_2) ).

cnf(cls_conjecture_6,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),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_conjecture_6) ).

cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ 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(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_conjecture_3) ).

cnf(cls_conjecture_8,negated_conjecture,
    ( X1 != c_Message_Omsg_OKey(v_K)
    | v_NA != v_NAa ),
    file('/export/starexec/sandbox2/tmp/tmp.aj26o62iZa/E---3.1_32331.p',cls_conjecture_8) ).

cnf(c_0_7,axiom,
    ( c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | X6 = X13
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OSays__unique__NB_0 ).

cnf(c_0_8,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),
    cls_conjecture_5 ).

cnf(c_0_9,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_10,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),
    cls_conjecture_6 ).

cnf(c_0_11,axiom,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X5,X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ 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(X4,c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OSays__Server__imp__YM2_0 ).

cnf(c_0_12,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),
    cls_conjecture_3 ).

cnf(c_0_13,negated_conjecture,
    ( X1 != c_Message_Omsg_OKey(v_K)
    | v_NA != v_NAa ),
    cls_conjecture_8 ).

cnf(c_0_14,negated_conjecture,
    ( X1 = v_NA
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])]) ).

cnf(c_0_16,negated_conjecture,
    v_NAa != v_NA,
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV353-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 03:26:03 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.44/0.68  Running first-order model finding
% 0.44/0.68  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.aj26o62iZa/E---3.1_32331.p
% 35.59/5.23  # Version: 3.1pre001
% 35.59/5.23  # Preprocessing class: FMLMSMSMSSSNFFN.
% 35.59/5.23  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.59/5.23  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.59/5.23  # Starting new_bool_3 with 300s (1) cores
% 35.59/5.23  # Starting new_bool_1 with 300s (1) cores
% 35.59/5.23  # Starting sh5l with 300s (1) cores
% 35.59/5.23  # new_bool_3 with pid 32561 completed with status 0
% 35.59/5.23  # Result found by new_bool_3
% 35.59/5.23  # Preprocessing class: FMLMSMSMSSSNFFN.
% 35.59/5.23  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.59/5.23  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.59/5.23  # Starting new_bool_3 with 300s (1) cores
% 35.59/5.23  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 35.59/5.23  # Search class: FGHSM-FSLM31-DFFFFFNN
% 35.59/5.23  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 35.59/5.23  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 35.59/5.23  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 32570 completed with status 0
% 35.59/5.23  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 35.59/5.23  # Preprocessing class: FMLMSMSMSSSNFFN.
% 35.59/5.23  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.59/5.23  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.59/5.23  # Starting new_bool_3 with 300s (1) cores
% 35.59/5.23  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 35.59/5.23  # Search class: FGHSM-FSLM31-DFFFFFNN
% 35.59/5.23  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 35.59/5.23  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 35.59/5.23  # Preprocessing time       : 0.010 s
% 35.59/5.23  # Presaturation interreduction done
% 35.59/5.23  
% 35.59/5.23  # Proof found!
% 35.59/5.23  # SZS status Unsatisfiable
% 35.59/5.23  # SZS output start CNFRefutation
% See solution above
% 35.59/5.23  # Parsed axioms                        : 2974
% 35.59/5.23  # Removed by relevancy pruning/SinE    : 2365
% 35.59/5.23  # Initial clauses                      : 609
% 35.59/5.23  # Removed in clause preprocessing      : 0
% 35.59/5.23  # Initial clauses in saturation        : 609
% 35.59/5.23  # Processed clauses                    : 36251
% 35.59/5.23  # ...of these trivial                  : 1238
% 35.59/5.23  # ...subsumed                          : 28643
% 35.59/5.23  # ...remaining for further processing  : 6370
% 35.59/5.23  # Other redundant clauses eliminated   : 1630
% 35.59/5.23  # Clauses deleted for lack of memory   : 0
% 35.59/5.23  # Backward-subsumed                    : 471
% 35.59/5.23  # Backward-rewritten                   : 548
% 35.59/5.23  # Generated clauses                    : 268056
% 35.59/5.23  # ...of the previous two non-redundant : 234932
% 35.59/5.23  # ...aggressively subsumed             : 0
% 35.59/5.23  # Contextual simplify-reflections      : 26
% 35.59/5.23  # Paramodulations                      : 266363
% 35.59/5.23  # Factorizations                       : 0
% 35.59/5.23  # NegExts                              : 0
% 35.59/5.23  # Equation resolutions                 : 1693
% 35.59/5.23  # Total rewrite steps                  : 177818
% 35.59/5.23  # Propositional unsat checks           : 1
% 35.59/5.23  #    Propositional check models        : 0
% 35.59/5.23  #    Propositional check unsatisfiable : 0
% 35.59/5.23  #    Propositional clauses             : 0
% 35.59/5.23  #    Propositional clauses after purity: 0
% 35.59/5.23  #    Propositional unsat core size     : 0
% 35.59/5.23  #    Propositional preprocessing time  : 0.000
% 35.59/5.23  #    Propositional encoding time       : 0.239
% 35.59/5.23  #    Propositional solver time         : 0.126
% 35.59/5.23  #    Success case prop preproc time    : 0.000
% 35.59/5.23  #    Success case prop encoding time   : 0.000
% 35.59/5.23  #    Success case prop solver time     : 0.000
% 35.59/5.23  # Current number of processed clauses  : 4816
% 35.59/5.23  #    Positive orientable unit clauses  : 1161
% 35.59/5.23  #    Positive unorientable unit clauses: 21
% 35.59/5.23  #    Negative unit clauses             : 609
% 35.59/5.23  #    Non-unit-clauses                  : 3025
% 35.59/5.23  # Current number of unprocessed clauses: 196957
% 35.59/5.23  # ...number of literals in the above   : 480167
% 35.59/5.23  # Current number of archived formulas  : 0
% 35.59/5.23  # Current number of archived clauses   : 1553
% 35.59/5.23  # Clause-clause subsumption calls (NU) : 1026343
% 35.59/5.23  # Rec. Clause-clause subsumption calls : 516602
% 35.59/5.23  # Non-unit clause-clause subsumptions  : 5366
% 35.59/5.23  # Unit Clause-clause subsumption calls : 102603
% 35.59/5.23  # Rewrite failures with RHS unbound    : 0
% 35.59/5.23  # BW rewrite match attempts            : 5793
% 35.59/5.23  # BW rewrite match successes           : 258
% 35.59/5.23  # Condensation attempts                : 0
% 35.59/5.23  # Condensation successes               : 0
% 35.59/5.23  # Termbank termtop insertions          : 6336061
% 35.59/5.23  
% 35.59/5.23  # -------------------------------------------------
% 35.59/5.23  # User time                : 4.210 s
% 35.59/5.23  # System time              : 0.167 s
% 35.59/5.23  # Total time               : 4.377 s
% 35.59/5.23  # Maximum resident set size: 4688 pages
% 35.59/5.23  
% 35.59/5.23  # -------------------------------------------------
% 35.59/5.23  # User time                : 4.242 s
% 35.59/5.23  # System time              : 0.170 s
% 35.59/5.23  # Total time               : 4.413 s
% 35.59/5.23  # Maximum resident set size: 3660 pages
% 35.59/5.23  % E---3.1 exiting
%------------------------------------------------------------------------------