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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW965+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 03:11:28 PM UTC 2026

% Result   : Theorem 0.14s 0.45s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   84 (  39   ~;  35   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   4 con; 0-2 aty)
%            Number of variables   :   48 (  19 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax184,axiom,
    ! [X116,X117,X118,X119] :
      ( ( pred_attacker(tuple_client_B_in_2(X119))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X119,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X117))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X117,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X118))
        & pred_eq_bitstring_bitstring(name_Nb(X116),constr_adec(X118,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax184) ).

fof(ax103,axiom,
    ! [X24,X25] : pred_eq_bitstring_bitstring(X24,X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).

fof(ax137,axiom,
    ! [X70] :
      ( pred_attacker(X70)
     => pred_attacker(tuple_client_B_in_5(X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax137) ).

fof(ax139,axiom,
    ! [X72] :
      ( pred_attacker(X72)
     => pred_attacker(tuple_client_B_in_3(X72)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax139) ).

fof(ax141,axiom,
    ! [X74] :
      ( pred_attacker(X74)
     => pred_attacker(tuple_client_B_in_2(X74)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax141) ).

fof(ax173,axiom,
    ! [X107] : pred_attacker(name_new0x2Dname(X107)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(ax131,axiom,
    ! [X61] :
      ( pred_attacker(tuple_client_B_out_6(X61))
     => pred_attacker(X61) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).

fof(c_0_8,plain,
    ! [X240,X241,X242,X243] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X243))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X243,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X241))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X241,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X242))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X240),constr_adec(X242,name_skB)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax184])])]) ).

fof(c_0_9,plain,
    ! [X148,X149] : pred_eq_bitstring_bitstring(X148,X149),
    inference(variable_rename,[status(thm)],[ax103]) ).

cnf(c_0_10,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X4))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X3,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    pred_eq_bitstring_bitstring(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X194] :
      ( pred_attacker(tuple_client_B_in_5(X194))
      | ~ pred_attacker(X194) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax137])])]) ).

cnf(c_0_13,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X4))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11])]) ).

cnf(c_0_14,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_5(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X196] :
      ( pred_attacker(tuple_client_B_in_3(X196))
      | ~ pred_attacker(X196) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax139])])]) ).

cnf(c_0_16,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_3(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X198] :
      ( pred_attacker(tuple_client_B_in_2(X198))
      | ~ pred_attacker(X198) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax141])])]) ).

cnf(c_0_19,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(tuple_client_B_in_2(X1))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X231] : pred_attacker(name_new0x2Dname(X231)),
    inference(variable_rename,[status(thm)],[ax173]) ).

cnf(c_0_22,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_24,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(assume_negation,[status(cth)],[co0]) ).

cnf(c_0_25,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_26,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_27,plain,
    ! [X185] :
      ( pred_attacker(X185)
      | ~ pred_attacker(tuple_client_B_out_6(X185)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax131])])]) ).

cnf(c_0_28,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_23]) ).

fof(c_0_29,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_nnf,[status(thm)],[c_0_26]) ).

cnf(c_0_30,plain,
    ( ~ pred_attacker(tuple_client_B_out_6(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW965+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n004.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 10:20:34 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
% 0.14/0.45  % Version: 3.5.1
% 0.14/0.45  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.45  % Starting sh5l with 300s (1) cores
% 0.14/0.45  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2898463 completed with status 0
% 0.14/0.45  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.45  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.45  % No SInE strategy applied
% 0.14/0.45  % Search class: FGUSM-FFMM21-DFFFFFNN
% 0.14/0.45  % partial match(1): FGUSM-FFMF21-DFFFFFNN
% 0.14/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.14/0.45  % Starting new_bool_3 with 169s (1) cores
% 0.14/0.45  % Starting new_bool_1 with 169s (1) cores
% 0.14/0.45  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2898477 completed with status 0
% 0.14/0.45  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/0.45  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.45  % No SInE strategy applied
% 0.14/0.45  % Search class: FGUSM-FFMM21-DFFFFFNN
% 0.14/0.45  % partial match(1): FGUSM-FFMF21-DFFFFFNN
% 0.14/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.45  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.14/0.45  % Preprocessing time       : 0.002 s
% 0.14/0.45  % Presaturation interreduction done
% 0.14/0.45  
% 0.14/0.45  % Proof found!
% 0.14/0.45  % SZS status Theorem
% 0.14/0.45  % SZS output start CNFRefutation
% See solution above
% 0.14/0.45  % Parsed axioms                        : 188
% 0.14/0.45  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.45  % Initial clauses                      : 188
% 0.14/0.45  % Removed in clause preprocessing      : 1
% 0.14/0.45  % Initial clauses in saturation        : 187
% 0.14/0.45  % Processed clauses                    : 397
% 0.14/0.45  % ...of these trivial                  : 1
% 0.14/0.45  % ...subsumed                          : 11
% 0.14/0.45  % ...remaining for further processing  : 385
% 0.14/0.45  % Other redundant clauses eliminated   : 0
% 0.14/0.45  % Clauses deleted for lack of memory   : 0
% 0.14/0.45  % Backward-subsumed                    : 5
% 0.14/0.45  % Backward-rewritten                   : 1
% 0.14/0.45  % Generated clauses                    : 234
% 0.14/0.45  % ...of the previous two non-redundant : 192
% 0.14/0.45  % ...aggressively subsumed             : 0
% 0.14/0.45  % Contextual simplify-reflections      : 0
% 0.14/0.45  % Paramodulations                      : 234
% 0.14/0.45  % Factorizations                       : 0
% 0.14/0.45  % NegExts                              : 0
% 0.14/0.45  % Equation resolutions                 : 0
% 0.14/0.45  % Disequality decompositions           : 0
% 0.14/0.45  % Total rewrite steps                  : 23
% 0.14/0.45  % ...of those cached                   : 7
% 0.14/0.45  % Propositional unsat checks           : 0
% 0.14/0.45  %    Propositional check models        : 0
% 0.14/0.45  %    Propositional check unsatisfiable : 0
% 0.14/0.45  %    Propositional clauses             : 0
% 0.14/0.45  %    Propositional clauses after purity: 0
% 0.14/0.45  %    Propositional unsat core size     : 0
% 0.14/0.45  %    Propositional preprocessing time  : 0.000
% 0.14/0.45  %    Propositional encoding time       : 0.000
% 0.14/0.45  %    Propositional solver time         : 0.000
% 0.14/0.45  %    Success case prop preproc time    : 0.000
% 0.14/0.45  %    Success case prop encoding time   : 0.000
% 0.14/0.45  %    Success case prop solver time     : 0.000
% 0.14/0.45  % Current number of processed clauses  : 192
% 0.14/0.45  %    Positive orientable unit clauses  : 37
% 0.14/0.45  %    Positive unorientable unit clauses: 1
% 0.14/0.45  %    Negative unit clauses             : 92
% 0.14/0.45  %    Non-unit-clauses                  : 62
% 0.14/0.45  % Current number of unprocessed clauses: 149
% 0.14/0.45  % ...number of literals in the above   : 435
% 0.14/0.45  % Current number of archived formulas  : 0
% 0.14/0.45  % Current number of archived clauses   : 194
% 0.14/0.45  % Clause-clause subsumption calls (NU) : 5211
% 0.14/0.45  % Rec. Clause-clause subsumption calls : 5046
% 0.14/0.45  % Non-unit clause-clause subsumptions  : 16
% 0.14/0.45  % Unit Clause-clause subsumption calls : 1398
% 0.14/0.45  % Rewrite failures with RHS unbound    : 0
% 0.14/0.45  % BW rewrite match attempts            : 13
% 0.14/0.45  % BW rewrite match successes           : 11
% 0.14/0.45  % Condensation attempts                : 0
% 0.14/0.45  % Condensation successes               : 0
% 0.14/0.45  % Termbank termtop insertions          : 10353
% 0.14/0.45  % Search garbage collected termcells   : 1228
% 0.14/0.45  
% 0.14/0.45  % -------------------------------------------------
% 0.14/0.45  % User time                : 0.015 s
% 0.14/0.45  % System time              : 0.005 s
% 0.14/0.45  % Total time               : 0.020 s
% 0.14/0.45  % Maximum resident set size: 4092 pages
% 0.14/0.45  
% 0.14/0.45  % -------------------------------------------------
% 0.14/0.45  % User time                : 0.055 s
% 0.14/0.45  % System time              : 0.019 s
% 0.14/0.45  % Total time               : 0.075 s
% 0.14/0.45  % Maximum resident set size: 5120 pages
% 0.14/0.45  % E exiting
%------------------------------------------------------------------------------