TSTP Solution File: SWV302-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 19:44:08 EDT 2023

% Result   : Unsatisfiable 0.23s 0.54s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  12 unt;   2 nHn;  22 RR)
%            Number of literals    :   34 (   3 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-3 aty)
%            Number of variables   :   19 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_16,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_conjecture_16) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_conjecture_5) ).

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/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_conjecture_13,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    file('/export/starexec/sandbox2/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_conjecture_13) ).

cnf(cls_Message_OMPair__parts_1,axiom,
    ( c_in(X1,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/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_Message_OMPair__parts_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_conjecture_2) ).

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/tmp/tmp.S5zvRLh5rP/E---3.1_3247.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(c_0_8,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    cls_conjecture_16 ).

cnf(c_0_9,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    cls_conjecture_4 ).

cnf(c_0_10,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_5 ).

cnf(c_0_11,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) ),
    cls_Message_Oparts_OBody__dest_0 ).

cnf(c_0_12,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    cls_conjecture_13 ).

cnf(c_0_13,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),c_0_10]) ).

cnf(c_0_14,axiom,
    ( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__parts_1 ).

cnf(c_0_15,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_17,negated_conjecture,
    c_Message_Omsg_ONonce(v_NBa) = v_NB,
    inference(sr,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,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) ),
    cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 ).

cnf(c_0_19,negated_conjecture,
    c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n022.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Oct  3 03:09:54 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  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.S5zvRLh5rP/E---3.1_3247.p
% 0.23/0.54  # Version: 3.1pre001
% 0.23/0.54  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # new_bool_1 with pid 3327 completed with status 0
% 0.23/0.54  # Result found by new_bool_1
% 0.23/0.54  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54  # Search class: FGUSF-FFSF31-DFFFFFNN
% 0.23/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.54  # SAT001_MinMin_p005000_rr_RG with pid 3333 completed with status 0
% 0.23/0.54  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.54  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54  # Search class: FGUSF-FFSF31-DFFFFFNN
% 0.23/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.54  # Preprocessing time       : 0.001 s
% 0.23/0.54  # Presaturation interreduction done
% 0.23/0.54  
% 0.23/0.54  # Proof found!
% 0.23/0.54  # SZS status Unsatisfiable
% 0.23/0.54  # SZS output start CNFRefutation
% See solution above
% 0.23/0.54  # Parsed axioms                        : 8
% 0.23/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.54  # Initial clauses                      : 8
% 0.23/0.54  # Removed in clause preprocessing      : 0
% 0.23/0.54  # Initial clauses in saturation        : 8
% 0.23/0.54  # Processed clauses                    : 20
% 0.23/0.54  # ...of these trivial                  : 0
% 0.23/0.54  # ...subsumed                          : 0
% 0.23/0.54  # ...remaining for further processing  : 20
% 0.23/0.54  # Other redundant clauses eliminated   : 0
% 0.23/0.54  # Clauses deleted for lack of memory   : 0
% 0.23/0.54  # Backward-subsumed                    : 0
% 0.23/0.54  # Backward-rewritten                   : 1
% 0.23/0.54  # Generated clauses                    : 6
% 0.23/0.54  # ...of the previous two non-redundant : 6
% 0.23/0.54  # ...aggressively subsumed             : 0
% 0.23/0.54  # Contextual simplify-reflections      : 0
% 0.23/0.54  # Paramodulations                      : 5
% 0.23/0.54  # Factorizations                       : 0
% 0.23/0.54  # NegExts                              : 0
% 0.23/0.54  # Equation resolutions                 : 0
% 0.23/0.54  # Total rewrite steps                  : 2
% 0.23/0.54  # Propositional unsat checks           : 0
% 0.23/0.54  #    Propositional check models        : 0
% 0.23/0.54  #    Propositional check unsatisfiable : 0
% 0.23/0.54  #    Propositional clauses             : 0
% 0.23/0.54  #    Propositional clauses after purity: 0
% 0.23/0.54  #    Propositional unsat core size     : 0
% 0.23/0.54  #    Propositional preprocessing time  : 0.000
% 0.23/0.54  #    Propositional encoding time       : 0.000
% 0.23/0.54  #    Propositional solver time         : 0.000
% 0.23/0.54  #    Success case prop preproc time    : 0.000
% 0.23/0.54  #    Success case prop encoding time   : 0.000
% 0.23/0.54  #    Success case prop solver time     : 0.000
% 0.23/0.54  # Current number of processed clauses  : 10
% 0.23/0.54  #    Positive orientable unit clauses  : 4
% 0.23/0.54  #    Positive unorientable unit clauses: 0
% 0.23/0.54  #    Negative unit clauses             : 3
% 0.23/0.54  #    Non-unit-clauses                  : 3
% 0.23/0.54  # Current number of unprocessed clauses: 2
% 0.23/0.54  # ...number of literals in the above   : 2
% 0.23/0.54  # Current number of archived formulas  : 0
% 0.23/0.54  # Current number of archived clauses   : 10
% 0.23/0.54  # Clause-clause subsumption calls (NU) : 2
% 0.23/0.54  # Rec. Clause-clause subsumption calls : 2
% 0.23/0.54  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.54  # Unit Clause-clause subsumption calls : 8
% 0.23/0.54  # Rewrite failures with RHS unbound    : 0
% 0.23/0.54  # BW rewrite match attempts            : 1
% 0.23/0.54  # BW rewrite match successes           : 1
% 0.23/0.54  # Condensation attempts                : 0
% 0.23/0.54  # Condensation successes               : 0
% 0.23/0.54  # Termbank termtop insertions          : 590
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.002 s
% 0.23/0.54  # System time              : 0.002 s
% 0.23/0.54  # Total time               : 0.005 s
% 0.23/0.54  # Maximum resident set size: 1620 pages
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.004 s
% 0.23/0.54  # System time              : 0.004 s
% 0.23/0.54  # Total time               : 0.008 s
% 0.23/0.54  # Maximum resident set size: 1688 pages
% 0.23/0.54  % E---3.1 exiting
% 0.23/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------