TSTP Solution File: NUM560+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:07:43 EDT 2023

% Result   : Theorem 0.22s 0.53s
% Output   : CNFRefutation 0.22s
% 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/tmp/tmp.BcL4O5HOEU/E---3.1_5069.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(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
% 0.04/0.14  % Problem    : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 13:27:46 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  Running first-order model finding
% 0.22/0.52  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.BcL4O5HOEU/E---3.1_5069.p
% 0.22/0.53  # Version: 3.1pre001
% 0.22/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # new_bool_3 with pid 5147 completed with status 0
% 0.22/0.53  # Result found by new_bool_3
% 0.22/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.53  # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.22/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.53  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.22/0.53  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 5150 completed with status 0
% 0.22/0.53  # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.22/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.53  # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.22/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.53  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.22/0.53  # Preprocessing time       : 0.002 s
% 0.22/0.53  # Presaturation interreduction done
% 0.22/0.53  
% 0.22/0.53  # Proof found!
% 0.22/0.53  # SZS status Theorem
% 0.22/0.53  # SZS output start CNFRefutation
% See solution above
% 0.22/0.53  # Parsed axioms                        : 68
% 0.22/0.53  # Removed by relevancy pruning/SinE    : 53
% 0.22/0.53  # Initial clauses                      : 31
% 0.22/0.53  # Removed in clause preprocessing      : 4
% 0.22/0.53  # Initial clauses in saturation        : 27
% 0.22/0.53  # Processed clauses                    : 38
% 0.22/0.53  # ...of these trivial                  : 0
% 0.22/0.53  # ...subsumed                          : 0
% 0.22/0.53  # ...remaining for further processing  : 38
% 0.22/0.53  # Other redundant clauses eliminated   : 5
% 0.22/0.53  # Clauses deleted for lack of memory   : 0
% 0.22/0.53  # Backward-subsumed                    : 0
% 0.22/0.53  # Backward-rewritten                   : 0
% 0.22/0.53  # Generated clauses                    : 5
% 0.22/0.53  # ...of the previous two non-redundant : 4
% 0.22/0.53  # ...aggressively subsumed             : 0
% 0.22/0.53  # Contextual simplify-reflections      : 4
% 0.22/0.53  # Paramodulations                      : 1
% 0.22/0.53  # Factorizations                       : 0
% 0.22/0.53  # NegExts                              : 0
% 0.22/0.53  # Equation resolutions                 : 5
% 0.22/0.53  # Total rewrite steps                  : 0
% 0.22/0.53  # Propositional unsat checks           : 0
% 0.22/0.53  #    Propositional check models        : 0
% 0.22/0.53  #    Propositional check unsatisfiable : 0
% 0.22/0.53  #    Propositional clauses             : 0
% 0.22/0.53  #    Propositional clauses after purity: 0
% 0.22/0.53  #    Propositional unsat core size     : 0
% 0.22/0.53  #    Propositional preprocessing time  : 0.000
% 0.22/0.53  #    Propositional encoding time       : 0.000
% 0.22/0.53  #    Propositional solver time         : 0.000
% 0.22/0.53  #    Success case prop preproc time    : 0.000
% 0.22/0.53  #    Success case prop encoding time   : 0.000
% 0.22/0.53  #    Success case prop solver time     : 0.000
% 0.22/0.53  # Current number of processed clauses  : 7
% 0.22/0.53  #    Positive orientable unit clauses  : 4
% 0.22/0.53  #    Positive unorientable unit clauses: 0
% 0.22/0.53  #    Negative unit clauses             : 2
% 0.22/0.53  #    Non-unit-clauses                  : 1
% 0.22/0.54  # Current number of unprocessed clauses: 20
% 0.22/0.54  # ...number of literals in the above   : 75
% 0.22/0.54  # Current number of archived formulas  : 0
% 0.22/0.54  # Current number of archived clauses   : 27
% 0.22/0.54  # Clause-clause subsumption calls (NU) : 104
% 0.22/0.54  # Rec. Clause-clause subsumption calls : 32
% 0.22/0.54  # Non-unit clause-clause subsumptions  : 4
% 0.22/0.54  # Unit Clause-clause subsumption calls : 0
% 0.22/0.54  # Rewrite failures with RHS unbound    : 0
% 0.22/0.54  # BW rewrite match attempts            : 0
% 0.22/0.54  # BW rewrite match successes           : 0
% 0.22/0.54  # Condensation attempts                : 0
% 0.22/0.54  # Condensation successes               : 0
% 0.22/0.54  # Termbank termtop insertions          : 2881
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.005 s
% 0.22/0.54  # System time              : 0.003 s
% 0.22/0.54  # Total time               : 0.008 s
% 0.22/0.54  # Maximum resident set size: 1860 pages
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.008 s
% 0.22/0.54  # System time              : 0.005 s
% 0.22/0.54  # Total time               : 0.013 s
% 0.22/0.54  # Maximum resident set size: 1752 pages
% 0.22/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------