TSTP Solution File: SWV324-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV324-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 05:34:19 EDT 2024

% Result   : Unsatisfiable 0.15s 0.46s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   33 (  12 unt;   2 nHn;  33 RR)
%            Number of literals    :   54 (   3 equ;  23 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    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   48 (  16 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/Axioms/SWV006-2.ax',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/Axioms/SWV006-0.ax',cls_Message_OMPair__analz_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

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/Axioms/SWV006-2.ax',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-2.ax',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( c_Public_OshrK(v_A) = v_K
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

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/Axioms/SWV006-0.ax',cls_Message_OMPair__parts_0) ).

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_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_1 ).

cnf(c_0_13,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_14,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).

cnf(c_0_15,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_16,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_18,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_13 ).

cnf(c_0_19,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_14 ).

cnf(c_0_20,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).

cnf(c_0_22,negated_conjecture,
    ( c_Public_OshrK(v_A) = v_K
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    cls_conjecture_6 ).

cnf(c_0_23,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_17 ).

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) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_0]) ).

cnf(c_0_25,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_15,c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    c_0_21 ).

cnf(c_0_28,negated_conjecture,
    c_Public_OshrK(v_A) = v_K,
    inference(sr,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,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_24 ).

cnf(c_0_30,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV324-1 : TPTP v8.2.0. Released v3.2.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sun May 19 07:04:08 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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/benchmark/theBenchmark.p
% 0.15/0.46  # Version: 3.1.0
% 0.15/0.46  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.46  # Starting sh5l with 300s (1) cores
% 0.15/0.46  # new_bool_3 with pid 20841 completed with status 0
% 0.15/0.46  # Result found by new_bool_3
% 0.15/0.46  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.46  # Search class: FGHSM-FFLS31-DFFFFFNN
% 0.15/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.46  # Starting G-E--_208_C02---_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 0.15/0.46  # G-E--_208_C02---_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 20844 completed with status 0
% 0.15/0.46  # Result found by G-E--_208_C02---_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.46  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.46  # Search class: FGHSM-FFLS31-DFFFFFNN
% 0.15/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.46  # Starting G-E--_208_C02---_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 0.15/0.46  # Preprocessing time       : 0.003 s
% 0.15/0.46  # Presaturation interreduction done
% 0.15/0.46  
% 0.15/0.46  # Proof found!
% 0.15/0.46  # SZS status Unsatisfiable
% 0.15/0.46  # SZS output start CNFRefutation
% See solution above
% 0.15/0.46  # Parsed axioms                        : 1477
% 0.15/0.46  # Removed by relevancy pruning/SinE    : 1306
% 0.15/0.46  # Initial clauses                      : 171
% 0.15/0.46  # Removed in clause preprocessing      : 0
% 0.15/0.46  # Initial clauses in saturation        : 171
% 0.15/0.46  # Processed clauses                    : 392
% 0.15/0.46  # ...of these trivial                  : 5
% 0.15/0.46  # ...subsumed                          : 38
% 0.15/0.46  # ...remaining for further processing  : 349
% 0.15/0.46  # Other redundant clauses eliminated   : 0
% 0.15/0.46  # Clauses deleted for lack of memory   : 0
% 0.15/0.46  # Backward-subsumed                    : 0
% 0.15/0.46  # Backward-rewritten                   : 3
% 0.15/0.46  # Generated clauses                    : 487
% 0.15/0.46  # ...of the previous two non-redundant : 390
% 0.15/0.46  # ...aggressively subsumed             : 0
% 0.15/0.46  # Contextual simplify-reflections      : 0
% 0.15/0.46  # Paramodulations                      : 460
% 0.15/0.46  # Factorizations                       : 0
% 0.15/0.46  # NegExts                              : 0
% 0.15/0.46  # Equation resolutions                 : 27
% 0.15/0.46  # Disequality decompositions           : 0
% 0.15/0.46  # Total rewrite steps                  : 47
% 0.15/0.46  # ...of those cached                   : 9
% 0.15/0.46  # Propositional unsat checks           : 0
% 0.15/0.46  #    Propositional check models        : 0
% 0.15/0.46  #    Propositional check unsatisfiable : 0
% 0.15/0.46  #    Propositional clauses             : 0
% 0.15/0.46  #    Propositional clauses after purity: 0
% 0.15/0.46  #    Propositional unsat core size     : 0
% 0.15/0.46  #    Propositional preprocessing time  : 0.000
% 0.15/0.46  #    Propositional encoding time       : 0.000
% 0.15/0.46  #    Propositional solver time         : 0.000
% 0.15/0.46  #    Success case prop preproc time    : 0.000
% 0.15/0.46  #    Success case prop encoding time   : 0.000
% 0.15/0.46  #    Success case prop solver time     : 0.000
% 0.15/0.46  # Current number of processed clauses  : 207
% 0.15/0.46  #    Positive orientable unit clauses  : 55
% 0.15/0.46  #    Positive unorientable unit clauses: 0
% 0.15/0.46  #    Negative unit clauses             : 27
% 0.15/0.46  #    Non-unit-clauses                  : 125
% 0.15/0.46  # Current number of unprocessed clauses: 288
% 0.15/0.46  # ...number of literals in the above   : 543
% 0.15/0.46  # Current number of archived formulas  : 0
% 0.15/0.46  # Current number of archived clauses   : 142
% 0.15/0.46  # Clause-clause subsumption calls (NU) : 9611
% 0.15/0.46  # Rec. Clause-clause subsumption calls : 8052
% 0.15/0.46  # Non-unit clause-clause subsumptions  : 16
% 0.15/0.46  # Unit Clause-clause subsumption calls : 309
% 0.15/0.46  # Rewrite failures with RHS unbound    : 0
% 0.15/0.46  # BW rewrite match attempts            : 53
% 0.15/0.46  # BW rewrite match successes           : 3
% 0.15/0.46  # Condensation attempts                : 0
% 0.15/0.46  # Condensation successes               : 0
% 0.15/0.46  # Termbank termtop insertions          : 19586
% 0.15/0.46  # Search garbage collected termcells   : 2835
% 0.15/0.46  
% 0.15/0.46  # -------------------------------------------------
% 0.15/0.46  # User time                : 0.026 s
% 0.15/0.46  # System time              : 0.004 s
% 0.15/0.46  # Total time               : 0.030 s
% 0.15/0.46  # Maximum resident set size: 3048 pages
% 0.15/0.46  
% 0.15/0.46  # -------------------------------------------------
% 0.15/0.46  # User time                : 0.048 s
% 0.15/0.46  # System time              : 0.006 s
% 0.15/0.46  # Total time               : 0.054 s
% 0.15/0.46  # Maximum resident set size: 2496 pages
% 0.15/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------