TSTP Solution File: NUM514+3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM514+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 01:26:38 EDT 2024

% Result   : Theorem 0.19s 0.54s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   27 (  12 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   26 (   8   ~;   5   |;  11   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn   1   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
   => ( ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X1) )
      | doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__2613,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xk,xr))
    & xk = sdtasdt0(xr,sdtsldt0(xk,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2613) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
        & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
     => ( ? [X1] :
            ( aNaturalNumber0(X1)
            & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X1) )
        | doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X116] :
      ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & ( ~ aNaturalNumber0(X116)
        | sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X116) )
      & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,hypothesis,
    sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(split_conjunct,[status(thm)],[m__2613]) ).

cnf(c_0_6,negated_conjecture,
    ( sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,hypothesis,
    aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(split_conjunct,[status(thm)],[m__2613]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM514+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 06:52:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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
% 0.19/0.54  # Version: 3.1.0
% 0.19/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.54  # Starting sh5l with 300s (1) cores
% 0.19/0.54  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 18196 completed with status 0
% 0.19/0.54  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.54  # No SInE strategy applied
% 0.19/0.54  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.19/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.54  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.54  # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 18207 completed with status 0
% 0.19/0.54  # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.19/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.54  # No SInE strategy applied
% 0.19/0.54  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.19/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.19/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.54  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.19/0.54  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.54  # Preprocessing time       : 0.005 s
% 0.19/0.54  # Presaturation interreduction done
% 0.19/0.54  
% 0.19/0.54  # Proof found!
% 0.19/0.54  # SZS status Theorem
% 0.19/0.54  # SZS output start CNFRefutation
% See solution above
% 0.19/0.54  # Parsed axioms                        : 56
% 0.19/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.54  # Initial clauses                      : 279
% 0.19/0.54  # Removed in clause preprocessing      : 3
% 0.19/0.54  # Initial clauses in saturation        : 276
% 0.19/0.54  # Processed clauses                    : 365
% 0.19/0.54  # ...of these trivial                  : 11
% 0.19/0.54  # ...subsumed                          : 7
% 0.19/0.54  # ...remaining for further processing  : 347
% 0.19/0.54  # Other redundant clauses eliminated   : 11
% 0.19/0.54  # Clauses deleted for lack of memory   : 0
% 0.19/0.54  # Backward-subsumed                    : 0
% 0.19/0.54  # Backward-rewritten                   : 2
% 0.19/0.54  # Generated clauses                    : 14
% 0.19/0.54  # ...of the previous two non-redundant : 15
% 0.19/0.54  # ...aggressively subsumed             : 0
% 0.19/0.54  # Contextual simplify-reflections      : 6
% 0.19/0.54  # Paramodulations                      : 2
% 0.19/0.54  # Factorizations                       : 0
% 0.19/0.54  # NegExts                              : 0
% 0.19/0.54  # Equation resolutions                 : 12
% 0.19/0.54  # Disequality decompositions           : 0
% 0.19/0.54  # Total rewrite steps                  : 25
% 0.19/0.54  # ...of those cached                   : 16
% 0.19/0.54  # Propositional unsat checks           : 0
% 0.19/0.54  #    Propositional check models        : 0
% 0.19/0.54  #    Propositional check unsatisfiable : 0
% 0.19/0.54  #    Propositional clauses             : 0
% 0.19/0.54  #    Propositional clauses after purity: 0
% 0.19/0.54  #    Propositional unsat core size     : 0
% 0.19/0.54  #    Propositional preprocessing time  : 0.000
% 0.19/0.54  #    Propositional encoding time       : 0.000
% 0.19/0.54  #    Propositional solver time         : 0.000
% 0.19/0.54  #    Success case prop preproc time    : 0.000
% 0.19/0.54  #    Success case prop encoding time   : 0.000
% 0.19/0.54  #    Success case prop solver time     : 0.000
% 0.19/0.54  # Current number of processed clauses  : 76
% 0.19/0.54  #    Positive orientable unit clauses  : 46
% 0.19/0.54  #    Positive unorientable unit clauses: 0
% 0.19/0.54  #    Negative unit clauses             : 16
% 0.19/0.54  #    Non-unit-clauses                  : 14
% 0.19/0.54  # Current number of unprocessed clauses: 184
% 0.19/0.54  # ...number of literals in the above   : 1542
% 0.19/0.54  # Current number of archived formulas  : 0
% 0.19/0.54  # Current number of archived clauses   : 260
% 0.19/0.54  # Clause-clause subsumption calls (NU) : 26993
% 0.19/0.54  # Rec. Clause-clause subsumption calls : 150
% 0.19/0.54  # Non-unit clause-clause subsumptions  : 11
% 0.19/0.54  # Unit Clause-clause subsumption calls : 564
% 0.19/0.54  # Rewrite failures with RHS unbound    : 0
% 0.19/0.54  # BW rewrite match attempts            : 1
% 0.19/0.54  # BW rewrite match successes           : 1
% 0.19/0.54  # Condensation attempts                : 0
% 0.19/0.54  # Condensation successes               : 0
% 0.19/0.54  # Termbank termtop insertions          : 22833
% 0.19/0.54  # Search garbage collected termcells   : 2495
% 0.19/0.54  
% 0.19/0.54  # -------------------------------------------------
% 0.19/0.54  # User time                : 0.054 s
% 0.19/0.54  # System time              : 0.004 s
% 0.19/0.54  # Total time               : 0.058 s
% 0.19/0.54  # Maximum resident set size: 2452 pages
% 0.19/0.54  
% 0.19/0.54  # -------------------------------------------------
% 0.19/0.54  # User time                : 0.218 s
% 0.19/0.54  # System time              : 0.017 s
% 0.19/0.54  # Total time               : 0.235 s
% 0.19/0.54  # Maximum resident set size: 1768 pages
% 0.19/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------