TSTP Solution File: SWV343-2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV343-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 05:22:46 EDT 2024

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   31 (  13 unt;   0 nHn;  29 RR)
%            Number of literals    :   49 (   2 equ;  21 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  10 con; 0-3 aty)
%            Number of variables   :   53 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

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/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

cnf(cls_conjecture_10,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Message_Oparts_OBody__dest_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

cnf(cls_Message_OMPair__parts_0,axiom,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_0_9,plain,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).

cnf(c_0_10,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_0]) ).

cnf(c_0_11,plain,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_9 ).

cnf(c_0_12,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_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_10 ).

cnf(c_0_13,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OInj_0]) ).

cnf(c_0_14,plain,
    ( 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) ),
    c_0_10 ).

cnf(c_0_15,negated_conjecture,
    c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OBody__dest_0]) ).

cnf(c_0_17,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_13 ).

cnf(c_0_18,negated_conjecture,
    c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_Message_Oparts__analz_0 ).

cnf(c_0_20,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_0]) ).

cnf(c_0_21,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_16 ).

cnf(c_0_22,negated_conjecture,
    c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_23,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).

cnf(c_0_24,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_20 ).

cnf(c_0_25,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).

cnf(c_0_27,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    c_0_23 ).

cnf(c_0_28,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    c_0_26 ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWV343-2 : TPTP v8.2.0. Released v3.2.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n026.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 07:58:08 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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/benchmark/theBenchmark.p
% 0.14/0.41  # Version: 3.1.0
% 0.14/0.41  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1641 completed with status 0
% 0.14/0.41  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/0.41  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FHUSF-FFSF31-DFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.41  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.41  # Starting sh5l with 136s (1) cores
% 0.14/0.41  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1646 completed with status 0
% 0.14/0.41  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/0.41  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FHUSF-FFSF31-DFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.001 s
% 0.14/0.41  # Presaturation interreduction done
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Unsatisfiable
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 9
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.41  # Initial clauses                      : 9
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 9
% 0.14/0.41  # Processed clauses                    : 33
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 2
% 0.14/0.41  # ...remaining for further processing  : 31
% 0.14/0.41  # Other redundant clauses eliminated   : 0
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 0
% 0.14/0.41  # Backward-rewritten                   : 0
% 0.14/0.41  # Generated clauses                    : 26
% 0.14/0.41  # ...of the previous two non-redundant : 24
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 0
% 0.14/0.41  # Paramodulations                      : 26
% 0.14/0.41  # Factorizations                       : 0
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Disequality decompositions           : 0
% 0.14/0.41  # Total rewrite steps                  : 3
% 0.14/0.41  # ...of those cached                   : 1
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 22
% 0.14/0.41  #    Positive orientable unit clauses  : 15
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 1
% 0.14/0.41  #    Non-unit-clauses                  : 6
% 0.14/0.41  # Current number of unprocessed clauses: 8
% 0.14/0.41  # ...number of literals in the above   : 8
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 9
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 19
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 13
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 2
% 0.14/0.41  # Unit Clause-clause subsumption calls : 0
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 3
% 0.14/0.41  # BW rewrite match successes           : 0
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 841
% 0.14/0.41  # Search garbage collected termcells   : 20
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.002 s
% 0.14/0.41  # System time              : 0.003 s
% 0.14/0.41  # Total time               : 0.005 s
% 0.14/0.41  # Maximum resident set size: 1628 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.013 s
% 0.14/0.41  # System time              : 0.007 s
% 0.14/0.41  # Total time               : 0.021 s
% 0.14/0.41  # Maximum resident set size: 1704 pages
% 0.14/0.41  % E---3.1 exiting
% 0.14/0.41  % E exiting
%------------------------------------------------------------------------------