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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV360-1 : 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 : n006.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 9.71s 1.89s
% Output   : CNFRefutation 9.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  27 RR)
%            Number of literals    :   50 (   0 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-2 aty)
%            Number of variables   :   33 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_Message_OMPair__analz_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_0) ).

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_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_Public_Oanalz__shrK__Decrypt_0,axiom,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-7.ax',cls_Public_Oanalz__shrK__Decrypt_0) ).

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_Yahalom_OSpy__analz__shrK_1,axiom,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OSpy__analz__shrK_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_8,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]) ).

cnf(c_0_9,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_0]) ).

cnf(c_0_10,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_8 ).

cnf(c_0_11,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_12,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_2 ).

cnf(c_0_13,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Public_Oanalz__shrK__Decrypt_0]) ).

cnf(c_0_14,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_9 ).

cnf(c_0_15,negated_conjecture,
    c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_16,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_13 ).

cnf(c_0_17,negated_conjecture,
    c_in(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_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_18,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,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_20,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_14,c_0_18]) ).

cnf(c_0_21,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_19 ).

cnf(c_0_22,plain,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Yahalom_OSpy__analz__shrK_1]) ).

cnf(c_0_23,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_21]) ).

cnf(c_0_24,plain,
    ( ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    c_0_22 ).

cnf(c_0_25,negated_conjecture,
    c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_9 ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_12]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV360-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36  % Computer : n006.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 08:42:59 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43  Running first-order theorem proving
% 0.14/0.43  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
% 9.71/1.89  % Version: 3.5.1
% 9.71/1.89  % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.71/1.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.71/1.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.71/1.89  % Starting new_bool_3 with 300s (1) cores
% 9.71/1.89  % Starting new_bool_1 with 300s (1) cores
% 9.71/1.89  % Starting sh5l with 300s (1) cores
% 9.71/1.89  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2463003 completed with status 0
% 9.71/1.89  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.71/1.89  % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.71/1.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.71/1.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.71/1.89  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.71/1.89  % No SInE strategy applied
% 9.71/1.89  % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.71/1.89  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.71/1.89  % Starting SubtermCWHack with 136s (1) cores
% 9.71/1.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.71/1.89  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.71/1.89  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 9.71/1.89  % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 9.71/1.89  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2463011 completed with status 0
% 9.71/1.89  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.71/1.89  % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.71/1.89  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.71/1.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.71/1.89  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.71/1.89  % No SInE strategy applied
% 9.71/1.89  % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.71/1.89  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.71/1.89  % Starting SubtermCWHack with 136s (1) cores
% 9.71/1.89  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.71/1.89  % Preprocessing time       : 0.053 s
% 9.71/1.89  % Presaturation interreduction done
% 9.71/1.89  
% 9.71/1.89  % Proof found!
% 9.71/1.89  % SZS status Unsatisfiable
% 9.71/1.89  % SZS output start CNFRefutation
% See solution above
% 9.71/1.89  % Parsed axioms                        : 2977
% 9.71/1.89  % Removed by relevancy pruning/SinE    : 0
% 9.71/1.89  % Initial clauses                      : 2977
% 9.71/1.89  % Removed in clause preprocessing      : 12
% 9.71/1.89  % Initial clauses in saturation        : 2965
% 9.71/1.89  % Processed clauses                    : 6275
% 9.71/1.89  % ...of these trivial                  : 28
% 9.71/1.89  % ...subsumed                          : 1139
% 9.71/1.89  % ...remaining for further processing  : 5108
% 9.71/1.89  % Other redundant clauses eliminated   : 79
% 9.71/1.89  % Clauses deleted for lack of memory   : 0
% 9.71/1.89  % Backward-subsumed                    : 16
% 9.71/1.89  % Backward-rewritten                   : 30
% 9.71/1.89  % Generated clauses                    : 8759
% 9.71/1.89  % ...of the previous two non-redundant : 6822
% 9.71/1.89  % ...aggressively subsumed             : 0
% 9.71/1.89  % Contextual simplify-reflections      : 2
% 9.71/1.89  % Paramodulations                      : 8618
% 9.71/1.89  % Factorizations                       : 0
% 9.71/1.89  % NegExts                              : 0
% 9.71/1.89  % Equation resolutions                 : 141
% 9.71/1.89  % Disequality decompositions           : 0
% 9.71/1.89  % Total rewrite steps                  : 3092
% 9.71/1.89  % ...of those cached                   : 2366
% 9.71/1.89  % Propositional unsat checks           : 1
% 9.71/1.89  %    Propositional check models        : 1
% 9.71/1.89  %    Propositional check unsatisfiable : 0
% 9.71/1.89  %    Propositional clauses             : 0
% 9.71/1.89  %    Propositional clauses after purity: 0
% 9.71/1.89  %    Propositional unsat core size     : 0
% 9.71/1.89  %    Propositional preprocessing time  : 0.000
% 9.71/1.89  %    Propositional encoding time       : 0.013
% 9.71/1.89  %    Propositional solver time         : 0.014
% 9.71/1.89  %    Success case prop preproc time    : 0.000
% 9.71/1.89  %    Success case prop encoding time   : 0.000
% 9.71/1.89  %    Success case prop solver time     : 0.000
% 9.71/1.89  % Current number of processed clauses  : 2256
% 9.71/1.89  %    Positive orientable unit clauses  : 541
% 9.71/1.89  %    Positive unorientable unit clauses: 1
% 9.71/1.89  %    Negative unit clauses             : 84
% 9.71/1.89  %    Non-unit-clauses                  : 1630
% 9.71/1.89  % Current number of unprocessed clauses: 6315
% 9.71/1.89  % ...number of literals in the above   : 15913
% 9.71/1.89  % Current number of archived formulas  : 0
% 9.71/1.89  % Current number of archived clauses   : 2862
% 9.71/1.89  % Clause-clause subsumption calls (NU) : 3356918
% 9.71/1.89  % Rec. Clause-clause subsumption calls : 2155021
% 9.71/1.89  % Non-unit clause-clause subsumptions  : 1002
% 9.71/1.89  % Unit Clause-clause subsumption calls : 137422
% 9.71/1.89  % Rewrite failures with RHS unbound    : 0
% 9.71/1.89  % BW rewrite match attempts            : 514
% 9.71/1.89  % BW rewrite match successes           : 35
% 9.71/1.89  % Condensation attempts                : 0
% 9.71/1.89  % Condensation successes               : 0
% 9.71/1.89  % Termbank termtop insertions          : 234421
% 9.71/1.89  % Search garbage collected termcells   : 4358
% 9.71/1.89  
% 9.71/1.89  % -------------------------------------------------
% 9.71/1.89  % User time                : 1.272 s
% 9.71/1.89  % System time              : 0.045 s
% 9.71/1.89  % Total time               : 1.317 s
% 9.71/1.89  % Maximum resident set size: 8664 pages
% 9.71/1.89  
% 9.71/1.89  % -------------------------------------------------
% 9.71/1.89  % User time                : 5.948 s
% 9.71/1.89  % System time              : 0.240 s
% 9.71/1.89  % Total time               : 6.188 s
% 9.71/1.89  % Maximum resident set size: 6656 pages
% 9.71/1.89  % E exiting
%------------------------------------------------------------------------------