TSTP Solution File: NUM514+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 19:07:30 EDT 2023

% Result   : Timeout 0.57s 300.10s
% Output   : None 
% 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/sandbox2/tmp/tmp.TEBTuVN3Rk/E---3.1_5791.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/sandbox2/tmp/tmp.TEBTuVN3Rk/E---3.1_5791.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,
    ! [X113] :
      ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & ( ~ aNaturalNumber0(X113)
        | sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X113) )
      & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    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
% 0.08/0.09  % Problem    : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n026.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Oct  2 15:00:44 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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.TEBTuVN3Rk/E---3.1_5791.p
% 0.57/300.10  # Version: 3.1pre001
% 0.57/300.10  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.57/300.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.57/300.10  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.57/300.10  # Starting new_bool_3 with 300s (1) cores
% 0.57/300.10  # Starting new_bool_1 with 300s (1) cores
% 0.57/300.10  # Starting sh5l with 300s (1) cores
% 0.57/300.10  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5880 completed with status 0
% 0.57/300.10  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.57/300.10  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.57/300.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.57/300.10  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.57/300.10  # No SInE strategy applied
% 0.57/300.10  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.57/300.10  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.57/300.10  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.57/300.10  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.57/300.10  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.57/300.10  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.57/300.10  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.57/300.10  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5888 completed with status 0
% 0.57/300.10  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.57/300.10  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.57/300.10  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.57/300.10  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.57/300.10  # No SInE strategy applied
% 0.57/300.10  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.57/300.10  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.57/300.10  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.57/300.10  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.57/300.10  # Preprocessing time       : 0.004 s
% 0.57/300.10  # Presaturation interreduction done
% 0.57/300.10  
% 0.57/300.10  # Proof found!
% 0.57/300.10  # SZS status Theorem
% 0.57/300.10  # SZS output start CNFRefutation
% See solution above
% 0.57/300.10  # Parsed axioms                        : 56
% 0.57/300.10  # Removed by relevancy pruning/SinE    : 0
% 0.57/300.10  # Initial clauses                      : 279
% 0.57/300.10  # Removed in clause preprocessing      : 3
% 0.57/300.10  # Initial clauses in saturation        : 276
% 0.57/300.10  # Processed clauses                    : 365
% 0.57/300.10  # ...of these trivial                  : 11
% 0.57/300.10  # ...subsumed                          : 7
% 0.57/300.10  # ...remaining for further processing  : 347
% 0.57/300.10  # Other redundant clauses eliminated   : 11
% 0.57/300.10  # Clauses deleted for lack of memory   : 0
% 0.57/300.10  # Backward-subsumed                    : 0
% 0.57/300.10  # Backward-rewritten                   : 2
% 0.57/300.10  # Generated clauses                    : 12
% 0.57/300.10  # ...of the previous two non-redundant : 13
% 0.57/300.10  # ...aggressively subsumed             : 0
% 0.57/300.10  # Contextual simplify-reflections      : 6
% 0.57/300.10  # Paramodulations                      : 0
% 0.57/300.10  # Factorizations                       : 0
% 0.57/300.10  # NegExts                              : 0
% 0.57/300.10  # Equation resolutions                 : 12
% 0.57/300.10  # Total rewrite steps                  : 21
% 0.57/300.10  # Propositional unsat checks           : 0
% 0.57/300.10  #    Propositional check models        : 0
% 0.57/300.10  #    Propositional check unsatisfiable : 0
% 0.57/300.10  #    Propositional clauses             : 0
% 0.57/300.10  #    Propositional clauses after purity: 0
% 0.57/300.10  #    Propositional unsat core size     : 0
% 0.57/300.10  #    Propositional preprocessing time  : 0.000
% 0.57/300.10  #    Propositional encoding time       : 0.000
% 0.57/300.10  #    Propositional solver time         : 0.000
% 0.57/300.10  #    Success case prop preproc time    : 0.000
% 0.57/300.10  #    Success case prop encoding time   : 0.000
% 0.57/300.10  #    Success case prop solver time     : 0.000
% 0.57/300.10  # Current number of processed clauses  : 76
% 0.57/300.10  #    Positive orientable unit clauses  : 46
% 0.57/300.10  #    Positive unorientable unit clauses: 0
% 0.57/300.10  #    Negative unit clauses             : 16
% 0.57/300.10  #    Non-unit-clauses                  : 14
% 0.57/300.10  # Current number of unprocessed clauses: 182
% 0.57/300.10  # ...number of literals in the above   : 1540
% 0.57/300.10  # Current number of archived formulas  : 0
% 0.57/300.10  # Current number of archived clauses   : 260
% 0.57/300.10  # Clause-clause subsumption calls (NU) : 26992
% 0.57/300.10  # Rec. Clause-clause subsumption calls : 148
% 0.57/300.10  # Non-unit clause-clause subsumptions  : 11
% 0.57/300.10  # Unit Clause-clause subsumption calls : 564
% 0.57/300.10  # Rewrite failures with RHS unbound    : 0
% 0.57/300.10  # BW rewrite match attempts            : 1
% 0.57/300.10  # BW rewrite match successes           : 1
% 0.57/300.10  # Condensation attempts                : 0
% 0.57/300.10  # Condensation successes               : 0
% 0.57/300.10  # Termbank termtop insertions          : 21408
% 0.57/300.10  
% 0.57/300.10  # -------------------------------------------------
% 0.57/300.10  # User time                : 0.044 s
% 0.57/300.10  # System time              : 0.005 s
% 0.57/300.10  # Total time               : 0.049 s
% 0.57/300.10  # Maximum resident set size: 2428 pages
% 0.57/300.10  
% 0.57/300.10  # -------------------------------------------------
% 0.57/300.10  # User time                : 0.198 s
% 0.57/300.10  # System time              : 0.010 s
% 0.57/300.10  # Total time               : 0.209 s
% 0.57/300.10  # Maximum resident set size: 1756 pages
% 0.57/300.10  % E---3.1 exiting
%------------------------------------------------------------------------------