TSTP Solution File: SWV791-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV791-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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  : 300s
% DateTime : Tue May 21 05:32:03 EDT 2024

% Result   : Unsatisfiable 1.61s 0.74s
% Output   : CNFRefutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   38 (  22 unt;   3 nHn;  33 RR)
%            Number of literals    :   60 (  19 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  17 con; 0-3 aty)
%            Number of variables   :   73 (  33 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
    ( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_msg_Osimps_I7_J_1,axiom,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).

cnf(cls_cert__A__form_1,axiom,
    ( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OAgent(X4)))
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_B = v_Aa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(cls_msg_Osimps_I34_J_0,axiom,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).

cnf(c_0_11,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).

cnf(c_0_12,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_13,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    c_0_11 ).

cnf(c_0_14,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_4 ).

cnf(c_0_15,plain,
    ( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[cls_Says__imp__parts__knows__Spy_0]) ).

cnf(c_0_16,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_12 ).

cnf(c_0_17,negated_conjecture,
    hBOOL(hAPP(c_List_Oset(v_evs3,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))))),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_19,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_20,plain,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I7_J_1]) ).

cnf(c_0_21,plain,
    ( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OAgent(X4)))
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_cert__A__form_1]) ).

cnf(c_0_22,plain,
    ( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_15 ).

cnf(c_0_23,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_19 ).

cnf(c_0_26,negated_conjecture,
    v_B = v_Aa,
    cls_conjecture_7 ).

cnf(c_0_27,plain,
    ( X2 = X4
    | c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
    c_0_20 ).

cnf(c_0_28,negated_conjecture,
    c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
    cls_conjecture_9 ).

cnf(c_0_29,plain,
    ( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OAgent(X4)))
    | c_in(X4,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    c_0_21 ).

cnf(c_0_30,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X1),
    inference(spm,[status(thm)],[c_0_16,c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,plain,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
    inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I34_J_0]) ).

cnf(c_0_34,negated_conjecture,
    ( X1 = c_Message_Omsg_ONonce(v_Nb)
    | c_Message_Omsg_OCrypt(X2,X1) != v_X ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_36,plain,
    c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
    c_0_33 ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV791-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n009.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   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 09:17:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  Running first-order theorem proving
% 0.20/0.51  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 1.61/0.74  # Version: 3.1.0
% 1.61/0.74  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.61/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.61/0.74  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.61/0.74  # Starting new_bool_3 with 300s (1) cores
% 1.61/0.74  # Starting new_bool_1 with 300s (1) cores
% 1.61/0.74  # Starting sh5l with 300s (1) cores
% 1.61/0.74  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15110 completed with status 0
% 1.61/0.74  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.61/0.74  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.61/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.61/0.74  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.61/0.74  # No SInE strategy applied
% 1.61/0.74  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.61/0.74  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.61/0.74  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 1.61/0.74  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.61/0.74  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 1.61/0.74  # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.61/0.74  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 1.61/0.74  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15117 completed with status 0
% 1.61/0.74  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.61/0.74  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.61/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.61/0.74  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.61/0.74  # No SInE strategy applied
% 1.61/0.74  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.61/0.74  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.61/0.74  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 1.61/0.74  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.61/0.74  # Preprocessing time       : 0.008 s
% 1.61/0.74  # Presaturation interreduction done
% 1.61/0.74  
% 1.61/0.74  # Proof found!
% 1.61/0.74  # SZS status Unsatisfiable
% 1.61/0.74  # SZS output start CNFRefutation
% See solution above
% 1.61/0.74  # Parsed axioms                        : 606
% 1.61/0.74  # Removed by relevancy pruning/SinE    : 0
% 1.61/0.74  # Initial clauses                      : 606
% 1.61/0.74  # Removed in clause preprocessing      : 0
% 1.61/0.74  # Initial clauses in saturation        : 606
% 1.61/0.74  # Processed clauses                    : 1311
% 1.61/0.74  # ...of these trivial                  : 69
% 1.61/0.74  # ...subsumed                          : 142
% 1.61/0.74  # ...remaining for further processing  : 1100
% 1.61/0.74  # Other redundant clauses eliminated   : 32
% 1.61/0.74  # Clauses deleted for lack of memory   : 0
% 1.61/0.74  # Backward-subsumed                    : 4
% 1.61/0.74  # Backward-rewritten                   : 48
% 1.61/0.74  # Generated clauses                    : 4154
% 1.61/0.74  # ...of the previous two non-redundant : 3274
% 1.61/0.74  # ...aggressively subsumed             : 0
% 1.61/0.74  # Contextual simplify-reflections      : 0
% 1.61/0.74  # Paramodulations                      : 4091
% 1.61/0.74  # Factorizations                       : 0
% 1.61/0.74  # NegExts                              : 0
% 1.61/0.74  # Equation resolutions                 : 63
% 1.61/0.74  # Disequality decompositions           : 0
% 1.61/0.74  # Total rewrite steps                  : 1636
% 1.61/0.74  # ...of those cached                   : 979
% 1.61/0.74  # Propositional unsat checks           : 0
% 1.61/0.74  #    Propositional check models        : 0
% 1.61/0.74  #    Propositional check unsatisfiable : 0
% 1.61/0.74  #    Propositional clauses             : 0
% 1.61/0.74  #    Propositional clauses after purity: 0
% 1.61/0.74  #    Propositional unsat core size     : 0
% 1.61/0.74  #    Propositional preprocessing time  : 0.000
% 1.61/0.74  #    Propositional encoding time       : 0.000
% 1.61/0.74  #    Propositional solver time         : 0.000
% 1.61/0.74  #    Success case prop preproc time    : 0.000
% 1.61/0.74  #    Success case prop encoding time   : 0.000
% 1.61/0.74  #    Success case prop solver time     : 0.000
% 1.61/0.74  # Current number of processed clauses  : 578
% 1.61/0.74  #    Positive orientable unit clauses  : 238
% 1.61/0.74  #    Positive unorientable unit clauses: 7
% 1.61/0.74  #    Negative unit clauses             : 49
% 1.61/0.74  #    Non-unit-clauses                  : 284
% 1.61/0.74  # Current number of unprocessed clauses: 3017
% 1.61/0.74  # ...number of literals in the above   : 6624
% 1.61/0.74  # Current number of archived formulas  : 0
% 1.61/0.74  # Current number of archived clauses   : 522
% 1.61/0.74  # Clause-clause subsumption calls (NU) : 54181
% 1.61/0.74  # Rec. Clause-clause subsumption calls : 37208
% 1.61/0.74  # Non-unit clause-clause subsumptions  : 89
% 1.61/0.74  # Unit Clause-clause subsumption calls : 3354
% 1.61/0.74  # Rewrite failures with RHS unbound    : 6
% 1.61/0.74  # BW rewrite match attempts            : 345
% 1.61/0.74  # BW rewrite match successes           : 126
% 1.61/0.74  # Condensation attempts                : 0
% 1.61/0.74  # Condensation successes               : 0
% 1.61/0.74  # Termbank termtop insertions          : 91489
% 1.61/0.74  # Search garbage collected termcells   : 1060
% 1.61/0.74  
% 1.61/0.74  # -------------------------------------------------
% 1.61/0.74  # User time                : 0.159 s
% 1.61/0.74  # System time              : 0.017 s
% 1.61/0.74  # Total time               : 0.176 s
% 1.61/0.74  # Maximum resident set size: 2916 pages
% 1.61/0.74  
% 1.61/0.74  # -------------------------------------------------
% 1.61/0.74  # User time                : 0.822 s
% 1.61/0.74  # System time              : 0.067 s
% 1.61/0.74  # Total time               : 0.889 s
% 1.61/0.74  # Maximum resident set size: 2180 pages
% 1.61/0.74  % E---3.1 exiting
% 1.61/0.74  % E exiting
%------------------------------------------------------------------------------