TSTP Solution File: NUM560+2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM560+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 01:14:42 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   30 (   4 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :   32 (   9   ~;   7   |;  10   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( aSet0(sdtlbdtrb0(xF,xy))
      & ! [X1] :
          ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
        <=> ( aElementOf0(X1,szDzozmdt0(xF))
            & sdtlpdtrp0(xF,X1) = xy ) ) )
   => ( ! [X1] :
          ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
         => aElementOf0(X1,szDzozmdt0(xF)) )
      | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( aSet0(sdtlbdtrb0(xF,xy))
        & ! [X1] :
            ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
          <=> ( aElementOf0(X1,szDzozmdt0(xF))
              & sdtlpdtrp0(xF,X1) = xy ) ) )
     => ( ! [X1] :
            ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
           => aElementOf0(X1,szDzozmdt0(xF)) )
        | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_2,negated_conjecture,
    ! [X5] :
      ( aSet0(sdtlbdtrb0(xF,xy))
      & ( aElementOf0(X5,szDzozmdt0(xF))
        | ~ aElementOf0(X5,sdtlbdtrb0(xF,xy)) )
      & ( sdtlpdtrp0(xF,X5) = xy
        | ~ aElementOf0(X5,sdtlbdtrb0(xF,xy)) )
      & ( ~ aElementOf0(X5,szDzozmdt0(xF))
        | sdtlpdtrp0(xF,X5) != xy
        | aElementOf0(X5,sdtlbdtrb0(xF,xy)) )
      & aElementOf0(esk1_0,sdtlbdtrb0(xF,xy))
      & ~ aElementOf0(esk1_0,szDzozmdt0(xF))
      & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( aElementOf0(X1,szDzozmdt0(xF))
    | ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    aElementOf0(esk1_0,sdtlbdtrb0(xF,xy)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ aElementOf0(esk1_0,szDzozmdt0(xF)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM560+2 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n011.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 04:08:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 0.20/0.49  # Version: 3.1.0
% 0.20/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # new_bool_3 with pid 20945 completed with status 0
% 0.20/0.49  # Result found by new_bool_3
% 0.20/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.20/0.49  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 20948 completed with status 0
% 0.20/0.49  # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.20/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.002 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 68
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 53
% 0.20/0.49  # Initial clauses                      : 31
% 0.20/0.49  # Removed in clause preprocessing      : 4
% 0.20/0.49  # Initial clauses in saturation        : 27
% 0.20/0.49  # Processed clauses                    : 38
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 38
% 0.20/0.49  # Other redundant clauses eliminated   : 5
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 5
% 0.20/0.49  # ...of the previous two non-redundant : 4
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 4
% 0.20/0.49  # Paramodulations                      : 1
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 5
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 0
% 0.20/0.49  # ...of those cached                   : 0
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 7
% 0.20/0.49  #    Positive orientable unit clauses  : 4
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 2
% 0.20/0.49  #    Non-unit-clauses                  : 1
% 0.20/0.49  # Current number of unprocessed clauses: 20
% 0.20/0.49  # ...number of literals in the above   : 75
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 27
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 104
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 32
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 4
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 0
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 3265
% 0.20/0.49  # Search garbage collected termcells   : 1005
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.007 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.009 s
% 0.20/0.49  # Maximum resident set size: 1884 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.010 s
% 0.20/0.49  # System time              : 0.005 s
% 0.20/0.49  # Total time               : 0.014 s
% 0.20/0.49  # Maximum resident set size: 1768 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
%------------------------------------------------------------------------------