TSTP Solution File: SWV236+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 19:56:26 EDT 2023

% Result   : Theorem 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  20 unt;   0 def)
%            Number of atoms       :   52 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  18   ~;  14   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (   1 sgn;  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(xor_rules_1,axiom,
    ! [X1] : xor(X1,id) = X1,
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',xor_rules_1) ).

fof(xor_commutative,axiom,
    ! [X1,X2] : xor(X1,X2) = xor(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',xor_commutative) ).

fof(xor_associative,axiom,
    ! [X1,X2,X3] : xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',xor_associative) ).

fof(xor_rules_2,axiom,
    ! [X1] : xor(X1,X1) = id,
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',xor_rules_2) ).

fof(key_part_import___part_1,axiom,
    ! [X10,X9] :
      ( ( p(X10)
        & p(X9) )
     => p(crypt(xor(km,xor(kp,X9)),X10)) ),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',key_part_import___part_1) ).

fof(find_known_exporter,conjecture,
    ? [X12] :
      ( p(crypt(xor(km,exp),X12))
      & p(X12) ),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',find_known_exporter) ).

fof(combine_with_XOR,axiom,
    ! [X1,X2] :
      ( ( p(X1)
        & p(X2) )
     => p(xor(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',combine_with_XOR) ).

fof(initial_knowledge_of_intruder_1,axiom,
    p(kp),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',initial_knowledge_of_intruder_1) ).

fof(initial_knowledge_of_intruder_9,axiom,
    p(exp),
    file('/export/starexec/sandbox/tmp/tmp.a2C3cEGETB/E---3.1_1203.p',initial_knowledge_of_intruder_9) ).

fof(c_0_9,plain,
    ! [X20] : xor(X20,id) = X20,
    inference(variable_rename,[status(thm)],[xor_rules_1]) ).

fof(c_0_10,plain,
    ! [X13,X14] : xor(X13,X14) = xor(X14,X13),
    inference(variable_rename,[status(thm)],[xor_commutative]) ).

fof(c_0_11,plain,
    ! [X15,X16,X17] : xor(X15,xor(X16,X17)) = xor(xor(X15,X16),X17),
    inference(variable_rename,[status(thm)],[xor_associative]) ).

fof(c_0_12,plain,
    ! [X21] : xor(X21,X21) = id,
    inference(variable_rename,[status(thm)],[xor_rules_2]) ).

cnf(c_0_13,plain,
    xor(X1,id) = X1,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    xor(X1,X2) = xor(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X30,X31] :
      ( ~ p(X30)
      | ~ p(X31)
      | p(crypt(xor(km,xor(kp,X31)),X30)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_part_import___part_1])]) ).

cnf(c_0_16,plain,
    xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    xor(X1,X1) = id,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    xor(id,X1) = X1,
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_19,negated_conjecture,
    ~ ? [X12] :
        ( p(crypt(xor(km,exp),X12))
        & p(X12) ),
    inference(assume_negation,[status(cth)],[find_known_exporter]) ).

cnf(c_0_20,plain,
    ( p(crypt(xor(km,xor(kp,X2)),X1))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    xor(X1,xor(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

fof(c_0_22,plain,
    ! [X48,X49] :
      ( ~ p(X48)
      | ~ p(X49)
      | p(xor(X48,X49)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[combine_with_XOR])]) ).

fof(c_0_23,negated_conjecture,
    ! [X56] :
      ( ~ p(crypt(xor(km,exp),X56))
      | ~ p(X56) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).

cnf(c_0_24,plain,
    ( p(crypt(xor(km,X1),X2))
    | ~ p(xor(kp,X1))
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    ( p(xor(X1,X2))
    | ~ p(X1)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    p(kp),
    inference(split_conjunct,[status(thm)],[initial_knowledge_of_intruder_1]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ p(crypt(xor(km,exp),X1))
    | ~ p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    ( p(crypt(xor(km,X1),X2))
    | ~ p(X2)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_29,plain,
    p(exp),
    inference(split_conjunct,[status(thm)],[initial_knowledge_of_intruder_9]) ).

cnf(c_0_30,negated_conjecture,
    ~ p(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_31,plain,
    $false,
    inference(sr,[status(thm)],[c_0_29,c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 2400
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Oct  3 03:26:50 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.a2C3cEGETB/E---3.1_1203.p
% 0.15/0.43  # Version: 3.1pre001
% 0.15/0.43  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1280 completed with status 0
% 0.15/0.43  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.43  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.43  # No SInE strategy applied
% 0.15/0.43  # Search class: FHHSM-FFMM22-MFFFFFNN
% 0.15/0.43  # partial match(1): FHUSM-FFMM22-MFFFFFNN
% 0.15/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.43  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.43  # Starting sh5l with 136s (1) cores
% 0.15/0.43  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1287 completed with status 0
% 0.15/0.43  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.43  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.43  # No SInE strategy applied
% 0.15/0.43  # Search class: FHHSM-FFMM22-MFFFFFNN
% 0.15/0.43  # partial match(1): FHUSM-FFMM22-MFFFFFNN
% 0.15/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Theorem
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 28
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.43  # Initial clauses                      : 28
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 28
% 0.15/0.43  # Processed clauses                    : 228
% 0.15/0.43  # ...of these trivial                  : 4
% 0.15/0.43  # ...subsumed                          : 120
% 0.15/0.43  # ...remaining for further processing  : 104
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 53
% 0.15/0.43  # Backward-rewritten                   : 0
% 0.15/0.43  # Generated clauses                    : 553
% 0.15/0.43  # ...of the previous two non-redundant : 457
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 541
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Total rewrite steps                  : 280
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 11
% 0.15/0.43  #    Positive orientable unit clauses  : 7
% 0.15/0.43  #    Positive unorientable unit clauses: 3
% 0.15/0.43  #    Negative unit clauses             : 1
% 0.15/0.43  #    Non-unit-clauses                  : 0
% 0.15/0.43  # Current number of unprocessed clauses: 267
% 0.15/0.43  # ...number of literals in the above   : 728
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 93
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 902
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 794
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 92
% 0.15/0.43  # Unit Clause-clause subsumption calls : 98
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 40
% 0.15/0.43  # BW rewrite match successes           : 33
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 7952
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.010 s
% 0.15/0.43  # System time              : 0.003 s
% 0.15/0.43  # Total time               : 0.013 s
% 0.15/0.43  # Maximum resident set size: 1816 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.042 s
% 0.15/0.43  # System time              : 0.008 s
% 0.15/0.43  # Total time               : 0.051 s
% 0.15/0.43  # Maximum resident set size: 1708 pages
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------