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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV360-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:54:33 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.43s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  16 unt;   3 nHn;  20 RR)
%            Number of literals    :   33 (   5 equ;  16 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  15 con; 0-3 aty)
%            Number of variables   :   44 (  31 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OSays__unique__NB_2,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | X4 = X11
    | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_2) ).

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/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_conjecture_7,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(c_0_7,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | X4 = X11
    | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSays__unique__NB_2]) ).

cnf(c_0_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),
    inference(fof_simplification,[status(thm)],[cls_conjecture_8]) ).

cnf(c_0_9,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X8,X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OCrypt(c_Public_OshrK(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X13),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | X4 = X11
    | c_in(X7,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_7 ).

cnf(c_0_10,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_7 ).

cnf(c_0_11,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_12,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),
    c_0_8 ).

cnf(c_0_13,negated_conjecture,
    ( ~ c_in(c_Event_Oevent_OGets(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | X1 = v_B ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]) ).

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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_5 ).

cnf(c_0_15,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_16,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_9 ).

cnf(c_0_17,negated_conjecture,
    v_Ba = v_B,
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    c_0_15 ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV360-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n010.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 08:43:10 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  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
% 0.14/0.43  % Version: 3.5.1
% 0.14/0.43  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43  % Starting sh5l with 300s (1) cores
% 0.14/0.43  % new_bool_1 with pid 509603 completed with status 0
% 0.14/0.43  % Result found by new_bool_1
% 0.14/0.43  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.43  % Search class: FGUSF-FFSS31-DFFFFFNN
% 0.14/0.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.43  % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.43  % SubtermCWHack with pid 509609 completed with status 0
% 0.14/0.43  % Result found by SubtermCWHack
% 0.14/0.43  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.43  % Search class: FGUSF-FFSS31-DFFFFFNN
% 0.14/0.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.43  % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.43  % Preprocessing time       : 0.001 s
% 0.14/0.43  
% 0.14/0.43  % Proof found!
% 0.14/0.43  % SZS status Unsatisfiable
% 0.14/0.43  % SZS output start CNFRefutation
% See solution above
% 0.14/0.43  % Parsed axioms                        : 7
% 0.14/0.43  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.43  % Initial clauses                      : 7
% 0.14/0.43  % Removed in clause preprocessing      : 0
% 0.14/0.43  % Initial clauses in saturation        : 7
% 0.14/0.43  % Processed clauses                    : 9
% 0.14/0.43  % ...of these trivial                  : 0
% 0.14/0.43  % ...subsumed                          : 0
% 0.14/0.43  % ...remaining for further processing  : 9
% 0.14/0.43  % Other redundant clauses eliminated   : 0
% 0.14/0.43  % Clauses deleted for lack of memory   : 0
% 0.14/0.43  % Backward-subsumed                    : 0
% 0.14/0.43  % Backward-rewritten                   : 1
% 0.14/0.43  % Generated clauses                    : 3
% 0.14/0.43  % ...of the previous two non-redundant : 2
% 0.14/0.43  % ...aggressively subsumed             : 0
% 0.14/0.43  % Contextual simplify-reflections      : 0
% 0.14/0.43  % Paramodulations                      : 3
% 0.14/0.43  % Factorizations                       : 0
% 0.14/0.43  % NegExts                              : 0
% 0.14/0.43  % Equation resolutions                 : 0
% 0.14/0.43  % Disequality decompositions           : 0
% 0.14/0.43  % Total rewrite steps                  : 2
% 0.14/0.43  % ...of those cached                   : 0
% 0.14/0.43  % Propositional unsat checks           : 0
% 0.14/0.43  %    Propositional check models        : 0
% 0.14/0.43  %    Propositional check unsatisfiable : 0
% 0.14/0.43  %    Propositional clauses             : 0
% 0.14/0.43  %    Propositional clauses after purity: 0
% 0.14/0.43  %    Propositional unsat core size     : 0
% 0.14/0.43  %    Propositional preprocessing time  : 0.000
% 0.14/0.43  %    Propositional encoding time       : 0.000
% 0.14/0.43  %    Propositional solver time         : 0.000
% 0.14/0.43  %    Success case prop preproc time    : 0.000
% 0.14/0.43  %    Success case prop encoding time   : 0.000
% 0.14/0.43  %    Success case prop solver time     : 0.000
% 0.14/0.43  % Current number of processed clauses  : 8
% 0.14/0.43  %    Positive orientable unit clauses  : 4
% 0.14/0.43  %    Positive unorientable unit clauses: 0
% 0.14/0.43  %    Negative unit clauses             : 2
% 0.14/0.43  %    Non-unit-clauses                  : 2
% 0.14/0.43  % Current number of unprocessed clauses: 0
% 0.14/0.43  % ...number of literals in the above   : 0
% 0.14/0.43  % Current number of archived formulas  : 0
% 0.14/0.43  % Current number of archived clauses   : 1
% 0.14/0.43  % Clause-clause subsumption calls (NU) : 0
% 0.14/0.43  % Rec. Clause-clause subsumption calls : 0
% 0.14/0.43  % Non-unit clause-clause subsumptions  : 0
% 0.14/0.43  % Unit Clause-clause subsumption calls : 0
% 0.14/0.43  % Rewrite failures with RHS unbound    : 0
% 0.14/0.43  % BW rewrite match attempts            : 1
% 0.14/0.43  % BW rewrite match successes           : 1
% 0.14/0.43  % Condensation attempts                : 0
% 0.14/0.43  % Condensation successes               : 0
% 0.14/0.43  % Termbank termtop insertions          : 410
% 0.14/0.43  % Search garbage collected termcells   : 13
% 0.14/0.43  
% 0.14/0.43  % -------------------------------------------------
% 0.14/0.43  % User time                : 0.004 s
% 0.14/0.43  % System time              : 0.000 s
% 0.14/0.43  % Total time               : 0.004 s
% 0.14/0.43  % Maximum resident set size: 3652 pages
% 0.14/0.43  
% 0.14/0.43  % -------------------------------------------------
% 0.14/0.43  % User time                : 0.004 s
% 0.14/0.43  % System time              : 0.005 s
% 0.14/0.43  % Total time               : 0.010 s
% 0.14/0.43  % Maximum resident set size: 4864 pages
% 0.14/0.43  % E exiting
%------------------------------------------------------------------------------