TSTP Solution File: NUM615+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM615+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 01:15:01 EDT 2024

% Result   : Theorem 53.52s 7.29s
% Output   : CNFRefutation 53.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   22 (  11 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   21 (   8   ~;   6   |;   7   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn   1   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( ( ( aElementOf0(X1,szDzozmdt0(xd))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
        | aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & sdtlpdtrp0(xe,X1) = xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__5182,hypothesis,
    ? [X1] :
      ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & sdtlpdtrp0(xe,X1) = xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1] :
        ( ( ( aElementOf0(X1,szDzozmdt0(xd))
            & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
          | aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
        & sdtlpdtrp0(xe,X1) = xp ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X267] :
      ( ( ~ aElementOf0(X267,szDzozmdt0(xd))
        | sdtlpdtrp0(xd,X267) != szDzizrdt0(xd)
        | sdtlpdtrp0(xe,X267) != xp )
      & ( ~ aElementOf0(X267,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X267) != xp ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,hypothesis,
    ( aElementOf0(esk41_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & sdtlpdtrp0(xe,esk41_0) = xp ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5182])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | sdtlpdtrp0(xe,X1) != xp ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sdtlpdtrp0(xe,esk41_0) = xp,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aElementOf0(esk41_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM615+3 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon May 20 05:32:52 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.52/7.29  # Version: 3.1.0
% 53.52/7.29  # Preprocessing class: FSLSSMSMSSSNFFN.
% 53.52/7.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.52/7.29  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 53.52/7.29  # Starting new_bool_3 with 300s (1) cores
% 53.52/7.29  # Starting new_bool_1 with 300s (1) cores
% 53.52/7.29  # Starting sh5l with 300s (1) cores
% 53.52/7.29  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 21273 completed with status 0
% 53.52/7.29  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 53.52/7.29  # Preprocessing class: FSLSSMSMSSSNFFN.
% 53.52/7.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.52/7.29  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 53.52/7.29  # No SInE strategy applied
% 53.52/7.29  # Search class: FGHSF-SMLM32-MFFFFFNN
% 53.52/7.29  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 53.52/7.29  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 53.52/7.29  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 53.52/7.29  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 53.52/7.29  # Starting new_bool_3 with 136s (1) cores
% 53.52/7.29  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 53.52/7.29  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 21280 completed with status 0
% 53.52/7.29  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 53.52/7.29  # Preprocessing class: FSLSSMSMSSSNFFN.
% 53.52/7.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.52/7.29  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 53.52/7.29  # No SInE strategy applied
% 53.52/7.29  # Search class: FGHSF-SMLM32-MFFFFFNN
% 53.52/7.29  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 53.52/7.29  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 53.52/7.29  # Preprocessing time       : 0.163 s
% 53.52/7.29  # Presaturation interreduction done
% 53.52/7.29  
% 53.52/7.29  # Proof found!
% 53.52/7.29  # SZS status Theorem
% 53.52/7.29  # SZS output start CNFRefutation
% See solution above
% 53.52/7.29  # Parsed axioms                        : 111
% 53.52/7.29  # Removed by relevancy pruning/SinE    : 0
% 53.52/7.29  # Initial clauses                      : 4912
% 53.52/7.29  # Removed in clause preprocessing      : 7
% 53.52/7.29  # Initial clauses in saturation        : 4905
% 53.52/7.29  # Processed clauses                    : 6779
% 53.52/7.29  # ...of these trivial                  : 4
% 53.52/7.29  # ...subsumed                          : 891
% 53.52/7.29  # ...remaining for further processing  : 5884
% 53.52/7.29  # Other redundant clauses eliminated   : 2043
% 53.52/7.29  # Clauses deleted for lack of memory   : 0
% 53.52/7.29  # Backward-subsumed                    : 14
% 53.52/7.29  # Backward-rewritten                   : 1
% 53.52/7.29  # Generated clauses                    : 1846
% 53.52/7.29  # ...of the previous two non-redundant : 1846
% 53.52/7.29  # ...aggressively subsumed             : 0
% 53.52/7.29  # Contextual simplify-reflections      : 69
% 53.52/7.29  # Paramodulations                      : 3
% 53.52/7.29  # Factorizations                       : 0
% 53.52/7.29  # NegExts                              : 0
% 53.52/7.29  # Equation resolutions                 : 2043
% 53.52/7.29  # Disequality decompositions           : 0
% 53.52/7.29  # Total rewrite steps                  : 37
% 53.52/7.29  # ...of those cached                   : 27
% 53.52/7.29  # Propositional unsat checks           : 0
% 53.52/7.29  #    Propositional check models        : 0
% 53.52/7.29  #    Propositional check unsatisfiable : 0
% 53.52/7.29  #    Propositional clauses             : 0
% 53.52/7.29  #    Propositional clauses after purity: 0
% 53.52/7.29  #    Propositional unsat core size     : 0
% 53.52/7.29  #    Propositional preprocessing time  : 0.000
% 53.52/7.29  #    Propositional encoding time       : 0.000
% 53.52/7.29  #    Propositional solver time         : 0.000
% 53.52/7.29  #    Success case prop preproc time    : 0.000
% 53.52/7.29  #    Success case prop encoding time   : 0.000
% 53.52/7.29  #    Success case prop solver time     : 0.000
% 53.52/7.29  # Current number of processed clauses  : 29
% 53.52/7.29  #    Positive orientable unit clauses  : 21
% 53.52/7.29  #    Positive unorientable unit clauses: 0
% 53.52/7.29  #    Negative unit clauses             : 6
% 53.52/7.29  #    Non-unit-clauses                  : 2
% 53.52/7.29  # Current number of unprocessed clauses: 3969
% 53.52/7.29  # ...number of literals in the above   : 44255
% 53.52/7.29  # Current number of archived formulas  : 0
% 53.52/7.29  # Current number of archived clauses   : 4012
% 53.52/7.29  # Clause-clause subsumption calls (NU) : 8770417
% 53.52/7.29  # Rec. Clause-clause subsumption calls : 74471
% 53.52/7.29  # Non-unit clause-clause subsumptions  : 972
% 53.52/7.29  # Unit Clause-clause subsumption calls : 55
% 53.52/7.29  # Rewrite failures with RHS unbound    : 0
% 53.52/7.29  # BW rewrite match attempts            : 1
% 53.52/7.29  # BW rewrite match successes           : 1
% 53.52/7.29  # Condensation attempts                : 0
% 53.52/7.29  # Condensation successes               : 0
% 53.52/7.29  # Termbank termtop insertions          : 667042
% 53.52/7.29  # Search garbage collected termcells   : 32045
% 53.52/7.29  
% 53.52/7.29  # -------------------------------------------------
% 53.52/7.29  # User time                : 6.784 s
% 53.52/7.29  # System time              : 0.036 s
% 53.52/7.29  # Total time               : 6.820 s
% 53.52/7.29  # Maximum resident set size: 14348 pages
% 53.52/7.29  
% 53.52/7.29  # -------------------------------------------------
% 53.52/7.29  # User time                : 32.627 s
% 53.52/7.29  # System time              : 0.134 s
% 53.52/7.29  # Total time               : 32.761 s
% 53.52/7.29  # Maximum resident set size: 1876 pages
% 53.52/7.29  % E---3.1 exiting
% 53.52/7.29  % E exiting
%------------------------------------------------------------------------------