TSTP Solution File: NUM458+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:07:13 EDT 2023

% Result   : Theorem 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   25 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   22 (   9   ~;   7   |;   5   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn;   3   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xm,X1) = xm )
    | sdtlseqdt0(xm,xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.RIpcxpGWAQ/E---3.1_6506.p',m__) ).

fof(m_AddZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.RIpcxpGWAQ/E---3.1_6506.p',m_AddZero) ).

fof(mSortsC,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/tmp/tmp.RIpcxpGWAQ/E---3.1_6506.p',mSortsC) ).

fof(m__718,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/tmp/tmp.RIpcxpGWAQ/E---3.1_6506.p',m__718) ).

fof(c_0_4,negated_conjecture,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtpldt0(xm,X1) = xm )
      | sdtlseqdt0(xm,xm) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,negated_conjecture,
    ! [X4] :
      ( ( ~ aNaturalNumber0(X4)
        | sdtpldt0(xm,X4) != xm )
      & ~ sdtlseqdt0(xm,xm) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_6,plain,
    ! [X16] :
      ( ( sdtpldt0(X16,sz00) = X16
        | ~ aNaturalNumber0(X16) )
      & ( X16 = sdtpldt0(sz00,X16)
        | ~ aNaturalNumber0(X16) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | sdtpldt0(xm,X1) != xm ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_10,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__718]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 13:25:00 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  Running first-order model finding
% 0.18/0.47  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.RIpcxpGWAQ/E---3.1_6506.p
% 0.18/0.49  # Version: 3.1pre001
% 0.18/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # new_bool_3 with pid 6586 completed with status 0
% 0.18/0.49  # Result found by new_bool_3
% 0.18/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: FGHSF-FFMF22-SFFFFFNN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.49  # SAT001_MinMin_p005000_rr_RG with pid 6589 completed with status 0
% 0.18/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: FGHSF-FFMF22-SFFFFFNN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.49  # Preprocessing time       : 0.001 s
% 0.18/0.49  # Presaturation interreduction done
% 0.18/0.49  
% 0.18/0.49  # Proof found!
% 0.18/0.49  # SZS status Theorem
% 0.18/0.49  # SZS output start CNFRefutation
% See solution above
% 0.18/0.49  # Parsed axioms                        : 21
% 0.18/0.49  # Removed by relevancy pruning/SinE    : 3
% 0.18/0.49  # Initial clauses                      : 27
% 0.18/0.49  # Removed in clause preprocessing      : 1
% 0.18/0.49  # Initial clauses in saturation        : 26
% 0.18/0.49  # Processed clauses                    : 33
% 0.18/0.49  # ...of these trivial                  : 0
% 0.18/0.49  # ...subsumed                          : 0
% 0.18/0.49  # ...remaining for further processing  : 33
% 0.18/0.49  # Other redundant clauses eliminated   : 1
% 0.18/0.49  # Clauses deleted for lack of memory   : 0
% 0.18/0.49  # Backward-subsumed                    : 0
% 0.18/0.49  # Backward-rewritten                   : 0
% 0.18/0.49  # Generated clauses                    : 2
% 0.18/0.49  # ...of the previous two non-redundant : 1
% 0.18/0.49  # ...aggressively subsumed             : 0
% 0.18/0.49  # Contextual simplify-reflections      : 1
% 0.18/0.49  # Paramodulations                      : 1
% 0.18/0.49  # Factorizations                       : 0
% 0.18/0.49  # NegExts                              : 0
% 0.18/0.49  # Equation resolutions                 : 1
% 0.18/0.49  # Total rewrite steps                  : 2
% 0.18/0.49  # Propositional unsat checks           : 0
% 0.18/0.49  #    Propositional check models        : 0
% 0.18/0.49  #    Propositional check unsatisfiable : 0
% 0.18/0.49  #    Propositional clauses             : 0
% 0.18/0.49  #    Propositional clauses after purity: 0
% 0.18/0.49  #    Propositional unsat core size     : 0
% 0.18/0.49  #    Propositional preprocessing time  : 0.000
% 0.18/0.49  #    Propositional encoding time       : 0.000
% 0.18/0.49  #    Propositional solver time         : 0.000
% 0.18/0.49  #    Success case prop preproc time    : 0.000
% 0.18/0.49  #    Success case prop encoding time   : 0.000
% 0.18/0.49  #    Success case prop solver time     : 0.000
% 0.18/0.49  # Current number of processed clauses  : 6
% 0.18/0.49  #    Positive orientable unit clauses  : 2
% 0.18/0.49  #    Positive unorientable unit clauses: 0
% 0.18/0.49  #    Negative unit clauses             : 1
% 0.18/0.49  #    Non-unit-clauses                  : 3
% 0.18/0.49  # Current number of unprocessed clauses: 20
% 0.18/0.49  # ...number of literals in the above   : 78
% 0.18/0.49  # Current number of archived formulas  : 0
% 0.18/0.49  # Current number of archived clauses   : 26
% 0.18/0.49  # Clause-clause subsumption calls (NU) : 71
% 0.18/0.49  # Rec. Clause-clause subsumption calls : 53
% 0.18/0.49  # Non-unit clause-clause subsumptions  : 1
% 0.18/0.49  # Unit Clause-clause subsumption calls : 0
% 0.18/0.49  # Rewrite failures with RHS unbound    : 0
% 0.18/0.49  # BW rewrite match attempts            : 0
% 0.18/0.49  # BW rewrite match successes           : 0
% 0.18/0.49  # Condensation attempts                : 0
% 0.18/0.49  # Condensation successes               : 0
% 0.18/0.49  # Termbank termtop insertions          : 1923
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.005 s
% 0.18/0.49  # System time              : 0.002 s
% 0.18/0.49  # Total time               : 0.007 s
% 0.18/0.49  # Maximum resident set size: 1840 pages
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.005 s
% 0.18/0.49  # System time              : 0.006 s
% 0.18/0.49  # Total time               : 0.010 s
% 0.18/0.49  # Maximum resident set size: 1692 pages
% 0.18/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------