TSTP Solution File: SWW967+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 20:12:04 EDT 2023

% Result   : Theorem 0.16s 0.47s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   38 (  12 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   94 (  41   ~;  39   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   4 con; 0-3 aty)
%            Number of variables   :   60 (  17 sgn;  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax171,axiom,
    ! [X207,X208,X209,X210,X211] :
      ( ( pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X210,X209,X207)),constr_cbc_dec_1(X211,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X208,name_Kas))))
        & pred_attacker(tuple_client_A_in_8(X211))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X208,name_Kas)))
        & pred_attacker(tuple_client_A_in_6(X208))
        & pred_attacker(tuple_client_A_in_4(X210))
        & pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X209,name_Kas)))
        & pred_eq_bitstring_bitstring(name_Na(X207),constr_tuple_4_get_0x30(constr_cbc_dec_4(X209,name_Kas)))
        & pred_attacker(tuple_client_A_in_2(X209)) )
     => pred_attacker(tuple_client_A_out_9(name_objective)) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax171) ).

fof(ax83,axiom,
    ! [X63,X64] : pred_eq_bitstring_bitstring(X63,X64),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax83) ).

fof(ax120,axiom,
    ! [X117] :
      ( pred_attacker(X117)
     => pred_attacker(tuple_client_A_in_8(X117)) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax120) ).

fof(ax122,axiom,
    ! [X119] :
      ( pred_attacker(X119)
     => pred_attacker(tuple_client_A_in_6(X119)) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax122) ).

fof(ax124,axiom,
    ! [X121] :
      ( pred_attacker(X121)
     => pred_attacker(tuple_client_A_in_4(X121)) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax124) ).

fof(ax126,axiom,
    ! [X123] :
      ( pred_attacker(X123)
     => pred_attacker(tuple_client_A_in_2(X123)) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax126) ).

fof(ax119,axiom,
    ! [X114,X115,X116] :
      ( pred_attacker(tuple_client_A_out_1(X114,X115,X116))
     => pred_attacker(X116) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax119) ).

fof(ax167,axiom,
    ! [X197] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X197))),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax167) ).

fof(ax109,axiom,
    ! [X98] :
      ( pred_attacker(tuple_client_A_out_9(X98))
     => pred_attacker(X98) ),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',ax109) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p',co0) ).

fof(c_0_10,plain,
    ! [X240,X241,X242,X243,X244] :
      ( ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X243,X242,X240)),constr_cbc_dec_1(X244,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X241,name_Kas))))
      | ~ pred_attacker(tuple_client_A_in_8(X244))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X241,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_6(X241))
      | ~ pred_attacker(tuple_client_A_in_4(X243))
      | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X242,name_Kas)))
      | ~ pred_eq_bitstring_bitstring(name_Na(X240),constr_tuple_4_get_0x30(constr_cbc_dec_4(X242,name_Kas)))
      | ~ pred_attacker(tuple_client_A_in_2(X242))
      | pred_attacker(tuple_client_A_out_9(name_objective)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax171])]) ).

fof(c_0_11,plain,
    ! [X261,X262] : pred_eq_bitstring_bitstring(X261,X262),
    inference(variable_rename,[status(thm)],[ax83]) ).

cnf(c_0_12,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective))
    | ~ pred_eq_bitstring_bitstring(tuple_succ(name_Na0x27(X1,X2,X3)),constr_cbc_dec_1(X4,constr_tuple_2_get_0x30_bitstring(constr_cbc_dec_2(X5,name_Kas))))
    | ~ pred_attacker(tuple_client_A_in_8(X4))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_cbc_dec_2(X5,name_Kas)))
    | ~ pred_attacker(tuple_client_A_in_6(X5))
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_eq_bitstring_bitstring(name_B,constr_tuple_4_get_1(constr_cbc_dec_4(X2,name_Kas)))
    | ~ pred_eq_bitstring_bitstring(name_Na(X3),constr_tuple_4_get_0x30(constr_cbc_dec_4(X2,name_Kas)))
    | ~ pred_attacker(tuple_client_A_in_2(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    pred_eq_bitstring_bitstring(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X321] :
      ( ~ pred_attacker(X321)
      | pred_attacker(tuple_client_A_in_8(X321)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax120])]) ).

cnf(c_0_15,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective))
    | ~ pred_attacker(tuple_client_A_in_8(X1))
    | ~ pred_attacker(tuple_client_A_in_6(X2))
    | ~ pred_attacker(tuple_client_A_in_4(X3))
    | ~ pred_attacker(tuple_client_A_in_2(X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_13]),c_0_13])]) ).

cnf(c_0_16,plain,
    ( pred_attacker(tuple_client_A_in_8(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X314] :
      ( ~ pred_attacker(X314)
      | pred_attacker(tuple_client_A_in_6(X314)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax122])]) ).

cnf(c_0_18,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective))
    | ~ pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(tuple_client_A_in_4(X2))
    | ~ pred_attacker(tuple_client_A_in_2(X3)) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_19,plain,
    ( pred_attacker(tuple_client_A_in_6(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_20,plain,
    ! [X300] :
      ( ~ pred_attacker(X300)
      | pred_attacker(tuple_client_A_in_4(X300)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax124])]) ).

cnf(c_0_21,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective))
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(tuple_client_A_in_2(X2)) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_22,plain,
    ( pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_23,plain,
    ! [X259] :
      ( ~ pred_attacker(X259)
      | pred_attacker(tuple_client_A_in_2(X259)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax126])]) ).

fof(c_0_24,plain,
    ! [X228,X229,X230] :
      ( ~ pred_attacker(tuple_client_A_out_1(X228,X229,X230))
      | pred_attacker(X230) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])]) ).

fof(c_0_25,plain,
    ! [X218] : pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X218))),
    inference(variable_rename,[status(thm)],[ax167]) ).

cnf(c_0_26,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective))
    | ~ pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22])]) ).

cnf(c_0_27,plain,
    ( pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    ( pred_attacker(X3)
    | ~ pred_attacker(tuple_client_A_out_1(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,plain,
    pred_attacker(tuple_client_A_out_1(name_A,name_B,name_Na(X1))),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_30,plain,
    ! [X320] :
      ( ~ pred_attacker(tuple_client_A_out_9(X320))
      | pred_attacker(X320) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax109])]) ).

cnf(c_0_31,plain,
    ( pred_attacker(tuple_client_A_out_9(name_objective))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    pred_attacker(name_Na(X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_33,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).

cnf(c_0_34,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_9(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    pred_attacker(tuple_client_A_out_9(name_objective)),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWW967+1 : TPTP v8.1.2. Released v7.4.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 22:23:31 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.PMi4lgCVcp/E---3.1_13466.p
% 0.16/0.47  # Version: 3.1pre001
% 0.16/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47  # Starting sh5l with 300s (1) cores
% 0.16/0.47  # sh5l with pid 13547 completed with status 0
% 0.16/0.47  # Result found by sh5l
% 0.16/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47  # Starting sh5l with 300s (1) cores
% 0.16/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.47  # Search class: FHUSM-FFMM31-DFFFFFNN
% 0.16/0.47  # partial match(1): FHUSM-FFMM21-DFFFFFNN
% 0.16/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47  # Starting new_ho_10 with 55s (1) cores
% 0.16/0.47  # new_ho_10 with pid 13550 completed with status 0
% 0.16/0.47  # Result found by new_ho_10
% 0.16/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47  # Starting sh5l with 300s (1) cores
% 0.16/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.47  # Search class: FHUSM-FFMM31-DFFFFFNN
% 0.16/0.47  # partial match(1): FHUSM-FFMM21-DFFFFFNN
% 0.16/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47  # Starting new_ho_10 with 55s (1) cores
% 0.16/0.47  # Preprocessing time       : 0.004 s
% 0.16/0.47  # Presaturation interreduction done
% 0.16/0.47  
% 0.16/0.47  # Proof found!
% 0.16/0.47  # SZS status Theorem
% 0.16/0.47  # SZS output start CNFRefutation
% See solution above
% 0.16/0.47  # Parsed axioms                        : 175
% 0.16/0.47  # Removed by relevancy pruning/SinE    : 48
% 0.16/0.47  # Initial clauses                      : 127
% 0.16/0.47  # Removed in clause preprocessing      : 0
% 0.16/0.47  # Initial clauses in saturation        : 127
% 0.16/0.47  # Processed clauses                    : 277
% 0.16/0.47  # ...of these trivial                  : 0
% 0.16/0.47  # ...subsumed                          : 0
% 0.16/0.47  # ...remaining for further processing  : 277
% 0.16/0.47  # Other redundant clauses eliminated   : 0
% 0.16/0.47  # Clauses deleted for lack of memory   : 0
% 0.16/0.47  # Backward-subsumed                    : 4
% 0.16/0.47  # Backward-rewritten                   : 1
% 0.16/0.47  # Generated clauses                    : 83
% 0.16/0.47  # ...of the previous two non-redundant : 67
% 0.16/0.47  # ...aggressively subsumed             : 0
% 0.16/0.47  # Contextual simplify-reflections      : 0
% 0.16/0.47  # Paramodulations                      : 83
% 0.16/0.47  # Factorizations                       : 0
% 0.16/0.47  # NegExts                              : 0
% 0.16/0.47  # Equation resolutions                 : 0
% 0.16/0.47  # Total rewrite steps                  : 24
% 0.16/0.47  # Propositional unsat checks           : 0
% 0.16/0.47  #    Propositional check models        : 0
% 0.16/0.47  #    Propositional check unsatisfiable : 0
% 0.16/0.47  #    Propositional clauses             : 0
% 0.16/0.47  #    Propositional clauses after purity: 0
% 0.16/0.47  #    Propositional unsat core size     : 0
% 0.16/0.47  #    Propositional preprocessing time  : 0.000
% 0.16/0.47  #    Propositional encoding time       : 0.000
% 0.16/0.47  #    Propositional solver time         : 0.000
% 0.16/0.47  #    Success case prop preproc time    : 0.000
% 0.16/0.47  #    Success case prop encoding time   : 0.000
% 0.16/0.47  #    Success case prop solver time     : 0.000
% 0.16/0.47  # Current number of processed clauses  : 145
% 0.16/0.47  #    Positive orientable unit clauses  : 25
% 0.16/0.47  #    Positive unorientable unit clauses: 0
% 0.16/0.47  #    Negative unit clauses             : 67
% 0.16/0.47  #    Non-unit-clauses                  : 53
% 0.16/0.47  # Current number of unprocessed clauses: 44
% 0.16/0.47  # ...number of literals in the above   : 100
% 0.16/0.47  # Current number of archived formulas  : 0
% 0.16/0.47  # Current number of archived clauses   : 132
% 0.16/0.47  # Clause-clause subsumption calls (NU) : 2885
% 0.16/0.47  # Rec. Clause-clause subsumption calls : 2391
% 0.16/0.47  # Non-unit clause-clause subsumptions  : 7
% 0.16/0.47  # Unit Clause-clause subsumption calls : 1127
% 0.16/0.47  # Rewrite failures with RHS unbound    : 0
% 0.16/0.47  # BW rewrite match attempts            : 1
% 0.16/0.47  # BW rewrite match successes           : 1
% 0.16/0.47  # Condensation attempts                : 277
% 0.16/0.47  # Condensation successes               : 3
% 0.16/0.47  # Termbank termtop insertions          : 6304
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.011 s
% 0.16/0.47  # System time              : 0.006 s
% 0.16/0.47  # Total time               : 0.016 s
% 0.16/0.47  # Maximum resident set size: 2304 pages
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.014 s
% 0.16/0.47  # System time              : 0.008 s
% 0.16/0.47  # Total time               : 0.022 s
% 0.16/0.47  # Maximum resident set size: 1952 pages
% 0.16/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------