TSTP Solution File: SWV359-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV359-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 19:44:25 EDT 2023

% Result   : Unsatisfiable 0.83s 1.21s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  14 unt;   0 nHn;  28 RR)
%            Number of literals    :   52 (   2 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-2 aty)
%            Number of variables   :   40 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_OMPair__analz_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Message_OMPair__analz_0) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_conjecture_5,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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_conjecture_5) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_conjecture_2) ).

cnf(cls_Message_Oanalz__idem_0,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Message_Oanalz__idem_0) ).

cnf(cls_Public_Oanalz__shrK__Decrypt_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Public_Oanalz__shrK__Decrypt_0) ).

cnf(cls_Message_OMPair__analz_1,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Message_OMPair__analz_1) ).

cnf(cls_conjecture_8,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_conjecture_8) ).

cnf(cls_Yahalom_OSpy__analz__shrK_1,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_Yahalom_OSpy__analz__shrK_1) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p',cls_conjecture_9) ).

cnf(c_0_11,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_0 ).

cnf(c_0_12,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oanalz_OInj_0 ).

cnf(c_0_13,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Yahalom_OGets__imp__analz__Spy__dest_0 ).

cnf(c_0_14,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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_5 ).

cnf(c_0_15,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_16,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    c_in(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_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_18,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    cls_Message_Oanalz__idem_0 ).

cnf(c_0_19,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Public_Oanalz__shrK__Decrypt_0 ).

cnf(c_0_20,negated_conjecture,
    c_in(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_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_1 ).

cnf(c_0_22,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_21,c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    cls_conjecture_8 ).

cnf(c_0_26,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]),c_0_25]) ).

cnf(c_0_27,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    cls_Yahalom_OSpy__analz__shrK_1 ).

cnf(c_0_28,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_9 ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_15]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.34  % Problem    : SWV359-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.35  % Command    : run_E %s %d THM
% 0.34/0.55  % Computer : n020.cluster.edu
% 0.34/0.55  % Model    : x86_64 x86_64
% 0.34/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.34/0.55  % Memory   : 8042.1875MB
% 0.34/0.55  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.34/0.55  % CPULimit   : 2400
% 0.34/0.55  % WCLimit    : 300
% 0.34/0.55  % DateTime   : Tue Oct  3 04:20:01 EDT 2023
% 0.34/0.55  % CPUTime    : 
% 0.49/1.01  Running first-order theorem proving
% 0.49/1.01  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.w2EB4pNa7l/E---3.1_1513.p
% 0.83/1.21  # Version: 3.1pre001
% 0.83/1.21  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.83/1.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/1.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.83/1.21  # Starting new_bool_3 with 300s (1) cores
% 0.83/1.21  # Starting new_bool_1 with 300s (1) cores
% 0.83/1.21  # Starting sh5l with 300s (1) cores
% 0.83/1.21  # new_bool_3 with pid 1656 completed with status 0
% 0.83/1.21  # Result found by new_bool_3
% 0.83/1.21  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.83/1.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/1.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.83/1.21  # Starting new_bool_3 with 300s (1) cores
% 0.83/1.21  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.83/1.21  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.83/1.21  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.83/1.21  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.83/1.21  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1660 completed with status 0
% 0.83/1.21  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.83/1.21  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.83/1.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/1.21  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.83/1.21  # Starting new_bool_3 with 300s (1) cores
% 0.83/1.21  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.83/1.21  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.83/1.21  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.83/1.21  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.83/1.21  # Preprocessing time       : 0.008 s
% 0.83/1.21  # Presaturation interreduction done
% 0.83/1.21  
% 0.83/1.21  # Proof found!
% 0.83/1.21  # SZS status Unsatisfiable
% 0.83/1.21  # SZS output start CNFRefutation
% See solution above
% 0.83/1.21  # Parsed axioms                        : 2977
% 0.83/1.21  # Removed by relevancy pruning/SinE    : 2358
% 0.83/1.21  # Initial clauses                      : 619
% 0.83/1.21  # Removed in clause preprocessing      : 0
% 0.83/1.21  # Initial clauses in saturation        : 619
% 0.83/1.21  # Processed clauses                    : 1797
% 0.83/1.21  # ...of these trivial                  : 46
% 0.83/1.21  # ...subsumed                          : 578
% 0.83/1.21  # ...remaining for further processing  : 1173
% 0.83/1.21  # Other redundant clauses eliminated   : 14
% 0.83/1.21  # Clauses deleted for lack of memory   : 0
% 0.83/1.21  # Backward-subsumed                    : 11
% 0.83/1.21  # Backward-rewritten                   : 26
% 0.83/1.21  # Generated clauses                    : 2811
% 0.83/1.21  # ...of the previous two non-redundant : 2110
% 0.83/1.21  # ...aggressively subsumed             : 0
% 0.83/1.21  # Contextual simplify-reflections      : 1
% 0.83/1.21  # Paramodulations                      : 2765
% 0.83/1.21  # Factorizations                       : 0
% 0.83/1.21  # NegExts                              : 0
% 0.83/1.21  # Equation resolutions                 : 46
% 0.83/1.21  # Total rewrite steps                  : 1581
% 0.83/1.21  # Propositional unsat checks           : 0
% 0.83/1.21  #    Propositional check models        : 0
% 0.83/1.21  #    Propositional check unsatisfiable : 0
% 0.83/1.21  #    Propositional clauses             : 0
% 0.83/1.21  #    Propositional clauses after purity: 0
% 0.83/1.21  #    Propositional unsat core size     : 0
% 0.83/1.21  #    Propositional preprocessing time  : 0.000
% 0.83/1.21  #    Propositional encoding time       : 0.000
% 0.83/1.21  #    Propositional solver time         : 0.000
% 0.83/1.21  #    Success case prop preproc time    : 0.000
% 0.83/1.21  #    Success case prop encoding time   : 0.000
% 0.83/1.21  #    Success case prop solver time     : 0.000
% 0.83/1.21  # Current number of processed clauses  : 592
% 0.83/1.21  #    Positive orientable unit clauses  : 229
% 0.83/1.21  #    Positive unorientable unit clauses: 3
% 0.83/1.21  #    Negative unit clauses             : 155
% 0.83/1.21  #    Non-unit-clauses                  : 205
% 0.83/1.21  # Current number of unprocessed clauses: 1441
% 0.83/1.21  # ...number of literals in the above   : 2594
% 0.83/1.21  # Current number of archived formulas  : 0
% 0.83/1.21  # Current number of archived clauses   : 581
% 0.83/1.21  # Clause-clause subsumption calls (NU) : 52444
% 0.83/1.21  # Rec. Clause-clause subsumption calls : 25323
% 0.83/1.21  # Non-unit clause-clause subsumptions  : 120
% 0.83/1.21  # Unit Clause-clause subsumption calls : 4836
% 0.83/1.21  # Rewrite failures with RHS unbound    : 0
% 0.83/1.21  # BW rewrite match attempts            : 138
% 0.83/1.21  # BW rewrite match successes           : 22
% 0.83/1.21  # Condensation attempts                : 0
% 0.83/1.21  # Condensation successes               : 0
% 0.83/1.21  # Termbank termtop insertions          : 70462
% 0.83/1.21  
% 0.83/1.21  # -------------------------------------------------
% 0.83/1.21  # User time                : 0.123 s
% 0.83/1.21  # System time              : 0.011 s
% 0.83/1.21  # Total time               : 0.134 s
% 0.83/1.21  # Maximum resident set size: 4688 pages
% 0.83/1.21  
% 0.83/1.21  # -------------------------------------------------
% 0.83/1.21  # User time                : 0.175 s
% 0.83/1.21  # System time              : 0.014 s
% 0.83/1.21  # Total time               : 0.189 s
% 0.83/1.21  # Maximum resident set size: 3664 pages
% 0.83/1.21  % E---3.1 exiting
% 0.83/1.21  % E---3.1 exiting
%------------------------------------------------------------------------------