TSTP Solution File: PUZ128+2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : PUZ128+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:26:22 EDT 2024

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   38 (  22 unt;   0 def)
%            Number of atoms       :  150 (  41 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  181 (  69   ~;  64   |;  48   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   47 (   0 sgn   5   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove,conjecture,
    ? [X1,X2,X3,X4] :
      ( parent(X1)
      & patricide(X2)
      & parent(X3)
      & $true
      & ~ ? [X5] :
            ( patricide(X5)
            & X4 = X5 )
      & relation(X3,of,X4)
      & X2 = X3
      & relation(X1,of,X2)
      & 'Iokaste' = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).

fof(background,axiom,
    ? [X1,X2,X3,X4,X5] :
      ( parent(X1)
      & relation(X1,of,'Oedipus')
      & 'Iokaste' = X1
      & parent(X2)
      & relation(X2,of,'Polyneikes')
      & 'Iokaste' = X2
      & parent(X3)
      & relation(X3,of,'Polyneikes')
      & 'Oedipus' = X3
      & parent(X4)
      & relation(X4,of,'Thersandros')
      & 'Polyneikes' = X4
      & patricide(X5)
      & 'Oedipus' = X5
      & ~ ? [X6] :
            ( patricide(X6)
            & 'Thersandros' = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2,X3,X4] :
        ( parent(X1)
        & patricide(X2)
        & parent(X3)
        & $true
        & ~ ? [X5] :
              ( patricide(X5)
              & X4 = X5 )
        & relation(X3,of,X4)
        & X2 = X3
        & relation(X1,of,X2)
        & 'Iokaste' = X1 ),
    inference(assume_negation,[status(cth)],[prove]) ).

fof(c_0_3,negated_conjecture,
    ! [X13,X14,X15,X16] :
      ( ( patricide(esk6_4(X13,X14,X15,X16))
        | ~ parent(X13)
        | ~ patricide(X14)
        | ~ parent(X15)
        | ~ $true
        | ~ relation(X15,of,X16)
        | X14 != X15
        | ~ relation(X13,of,X14)
        | 'Iokaste' != X13 )
      & ( X16 = esk6_4(X13,X14,X15,X16)
        | ~ parent(X13)
        | ~ patricide(X14)
        | ~ parent(X15)
        | ~ $true
        | ~ relation(X15,of,X16)
        | X14 != X15
        | ~ relation(X13,of,X14)
        | 'Iokaste' != X13 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).

fof(c_0_4,plain,
    ! [X12] :
      ( parent(esk1_0)
      & relation(esk1_0,of,'Oedipus')
      & 'Iokaste' = esk1_0
      & parent(esk2_0)
      & relation(esk2_0,of,'Polyneikes')
      & 'Iokaste' = esk2_0
      & parent(esk3_0)
      & relation(esk3_0,of,'Polyneikes')
      & 'Oedipus' = esk3_0
      & parent(esk4_0)
      & relation(esk4_0,of,'Thersandros')
      & 'Polyneikes' = esk4_0
      & patricide(esk5_0)
      & 'Oedipus' = esk5_0
      & ( ~ patricide(X12)
        | 'Thersandros' != X12 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[background])])])])]) ).

cnf(c_0_5,negated_conjecture,
    ( patricide(esk6_4(X1,X2,X3,X4))
    | ~ parent(X1)
    | ~ patricide(X2)
    | ~ parent(X3)
    | $false
    | ~ relation(X3,of,X4)
    | X2 != X3
    | ~ relation(X1,of,X2)
    | 'Iokaste' != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    parent(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    'Iokaste' = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( X1 = esk6_4(X2,X3,X4,X1)
    | ~ parent(X2)
    | ~ patricide(X3)
    | ~ parent(X4)
    | $false
    | ~ relation(X4,of,X1)
    | X3 != X4
    | ~ relation(X2,of,X3)
    | 'Iokaste' != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ( patricide(esk6_4(X1,X2,X3,X4))
    | X2 != X3
    | 'Iokaste' != X1
    | ~ parent(X3)
    | ~ parent(X1)
    | ~ patricide(X2)
    | ~ relation(X3,of,X4)
    | ~ relation(X1,of,X2) ),
    inference(cn,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    parent('Iokaste'),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( X1 = esk6_4(X2,X3,X4,X1)
    | X3 != X4
    | 'Iokaste' != X2
    | ~ parent(X4)
    | ~ parent(X2)
    | ~ patricide(X3)
    | ~ relation(X4,of,X1)
    | ~ relation(X2,of,X3) ),
    inference(cn,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    'Oedipus' = esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,plain,
    'Oedipus' = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    ( patricide(esk6_4('Iokaste',X1,X1,X2))
    | ~ patricide(X1)
    | ~ relation('Iokaste',of,X1)
    | ~ relation(X1,of,X2)
    | ~ parent(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_9])]),c_0_10])]) ).

cnf(c_0_15,negated_conjecture,
    ( esk6_4('Iokaste',X1,X1,X2) = X2
    | ~ patricide(X1)
    | ~ relation('Iokaste',of,X1)
    | ~ relation(X1,of,X2)
    | ~ parent(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]),c_0_10])]) ).

cnf(c_0_16,plain,
    relation(esk1_0,of,'Oedipus'),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,plain,
    patricide(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,plain,
    esk5_0 = esk3_0,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    relation(esk2_0,of,'Polyneikes'),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_20,plain,
    'Iokaste' = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,plain,
    'Polyneikes' = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,negated_conjecture,
    ( patricide(X1)
    | ~ patricide(X2)
    | ~ relation('Iokaste',of,X2)
    | ~ relation(X2,of,X1)
    | ~ parent(X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_23,plain,
    relation('Iokaste',of,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_7]),c_0_13]) ).

cnf(c_0_24,plain,
    patricide(esk3_0),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_25,plain,
    parent(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,plain,
    relation(esk3_0,of,'Polyneikes'),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,plain,
    relation('Iokaste',of,esk4_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_28,plain,
    parent(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29,negated_conjecture,
    ( patricide(X1)
    | ~ relation(esk3_0,of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_30,plain,
    relation(esk3_0,of,esk4_0),
    inference(rw,[status(thm)],[c_0_26,c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    ( patricide(X1)
    | ~ patricide(esk4_0)
    | ~ relation(esk4_0,of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_27]),c_0_28])]) ).

cnf(c_0_32,negated_conjecture,
    patricide(esk4_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( ~ patricide(X1)
    | 'Thersandros' != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_34,negated_conjecture,
    ( patricide(X1)
    | ~ relation(esk4_0,of,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_35,plain,
    relation(esk4_0,of,'Thersandros'),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_36,plain,
    ~ patricide('Thersandros'),
    inference(er,[status(thm)],[c_0_33]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : PUZ128+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n016.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sat May 18 10:32:52 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.20/0.51  Running first-order model finding
% 0.20/0.51  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/benchmark/theBenchmark.p
% 0.20/0.52  # Version: 3.1.0
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14891 completed with status 0
% 0.20/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # No SInE strategy applied
% 0.20/0.52  # Search class: FHHSF-FFSM33-SFFFFFNN
% 0.20/0.52  # partial match(1): FHHSF-FFMM33-SFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.52  # Starting sh5l with 136s (1) cores
% 0.20/0.52  # SAT001_MinMin_p005000_rr_RG with pid 14896 completed with status 0
% 0.20/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # No SInE strategy applied
% 0.20/0.52  # Search class: FHHSF-FFSM33-SFFFFFNN
% 0.20/0.52  # partial match(1): FHHSF-FFMM33-SFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.001 s
% 0.20/0.52  # Presaturation interreduction done
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 2
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.52  # Initial clauses                      : 17
% 0.20/0.52  # Removed in clause preprocessing      : 0
% 0.20/0.52  # Initial clauses in saturation        : 17
% 0.20/0.52  # Processed clauses                    : 41
% 0.20/0.52  # ...of these trivial                  : 1
% 0.20/0.52  # ...subsumed                          : 0
% 0.20/0.52  # ...remaining for further processing  : 40
% 0.20/0.52  # Other redundant clauses eliminated   : 5
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 0
% 0.20/0.52  # Backward-rewritten                   : 1
% 0.20/0.52  # Generated clauses                    : 9
% 0.20/0.52  # ...of the previous two non-redundant : 9
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 0
% 0.20/0.52  # Paramodulations                      : 6
% 0.20/0.52  # Factorizations                       : 0
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 5
% 0.20/0.52  # Disequality decompositions           : 0
% 0.20/0.52  # Total rewrite steps                  : 16
% 0.20/0.52  # ...of those cached                   : 6
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 20
% 0.20/0.52  #    Positive orientable unit clauses  : 14
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 1
% 0.20/0.52  #    Non-unit-clauses                  : 5
% 0.20/0.52  # Current number of unprocessed clauses: 0
% 0.20/0.52  # ...number of literals in the above   : 0
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 17
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 23
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 5
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.52  # Unit Clause-clause subsumption calls : 0
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 3
% 0.20/0.52  # BW rewrite match successes           : 1
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 958
% 0.20/0.52  # Search garbage collected termcells   : 202
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.004 s
% 0.20/0.52  # System time              : 0.002 s
% 0.20/0.52  # Total time               : 0.006 s
% 0.20/0.52  # Maximum resident set size: 1776 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.014 s
% 0.20/0.52  # System time              : 0.007 s
% 0.20/0.52  # Total time               : 0.021 s
% 0.20/0.52  # Maximum resident set size: 1696 pages
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------