TSTP Solution File: NUM609+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 19:07:57 EDT 2023

% Result   : Theorem 36.73s 5.19s
% Output   : CNFRefutation 36.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   36 (   5 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :   40 (  13   ~;  10   |;  13   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,xP)
       => aElementOf0(X1,xQ) )
    | aSubsetOf0(xP,xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.tv5TkbxCvI/E---3.1_22939.p',m__) ).

fof(m__5164,hypothesis,
    ( aSet0(xP)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X1) )
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( aElement0(X1)
          & aElementOf0(X1,xQ)
          & X1 != szmzizndt0(xQ) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    file('/export/starexec/sandbox2/tmp/tmp.tv5TkbxCvI/E---3.1_22939.p',m__5164) ).

fof(c_0_2,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,xP)
         => aElementOf0(X1,xQ) )
      | aSubsetOf0(xP,xQ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,hypothesis,
    ! [X253,X254] :
      ( aSet0(xP)
      & ( ~ aElementOf0(X253,xQ)
        | sdtlseqdt0(szmzizndt0(xQ),X253) )
      & ( aElement0(X254)
        | ~ aElementOf0(X254,xP) )
      & ( aElementOf0(X254,xQ)
        | ~ aElementOf0(X254,xP) )
      & ( X254 != szmzizndt0(xQ)
        | ~ aElementOf0(X254,xP) )
      & ( ~ aElement0(X254)
        | ~ aElementOf0(X254,xQ)
        | X254 = szmzizndt0(xQ)
        | aElementOf0(X254,xP) )
      & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5164])])])]) ).

fof(c_0_4,negated_conjecture,
    ( aElementOf0(esk42_0,xP)
    & ~ aElementOf0(esk42_0,xQ)
    & ~ aSubsetOf0(xP,xQ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,hypothesis,
    ( aElementOf0(X1,xQ)
    | ~ aElementOf0(X1,xP) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ~ aElementOf0(esk42_0,xQ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    aElementOf0(esk42_0,xP),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_5,c_0_6,c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : NUM609+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n023.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 15:17:22 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.41  Running first-order model finding
% 0.14/0.41  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.tv5TkbxCvI/E---3.1_22939.p
% 36.73/5.19  # Version: 3.1pre001
% 36.73/5.19  # Preprocessing class: FSLSSMSMSSSNFFN.
% 36.73/5.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.73/5.19  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 36.73/5.19  # Starting new_bool_3 with 300s (1) cores
% 36.73/5.19  # Starting new_bool_1 with 300s (1) cores
% 36.73/5.19  # Starting sh5l with 300s (1) cores
% 36.73/5.19  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 23016 completed with status 0
% 36.73/5.19  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 36.73/5.19  # Preprocessing class: FSLSSMSMSSSNFFN.
% 36.73/5.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.73/5.19  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 36.73/5.19  # No SInE strategy applied
% 36.73/5.19  # Search class: FGHSF-SMLM32-MFFFFFNN
% 36.73/5.19  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 36.73/5.19  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 36.73/5.19  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 36.73/5.19  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 36.73/5.19  # Starting new_bool_3 with 136s (1) cores
% 36.73/5.19  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 36.73/5.19  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 23023 completed with status 0
% 36.73/5.19  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 36.73/5.19  # Preprocessing class: FSLSSMSMSSSNFFN.
% 36.73/5.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.73/5.19  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 36.73/5.19  # No SInE strategy applied
% 36.73/5.19  # Search class: FGHSF-SMLM32-MFFFFFNN
% 36.73/5.19  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 36.73/5.19  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 36.73/5.19  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 36.73/5.19  # Preprocessing time       : 0.159 s
% 36.73/5.19  # SatCheck found unsatisfiable ground set
% 36.73/5.19  # Presaturation interreduction done
% 36.73/5.19  
% 36.73/5.19  # Proof found!
% 36.73/5.19  # SZS status Theorem
% 36.73/5.19  # SZS output start CNFRefutation
% See solution above
% 36.73/5.19  # Parsed axioms                        : 107
% 36.73/5.19  # Removed by relevancy pruning/SinE    : 0
% 36.73/5.19  # Initial clauses                      : 4907
% 36.73/5.19  # Removed in clause preprocessing      : 7
% 36.73/5.19  # Initial clauses in saturation        : 4900
% 36.73/5.19  # Processed clauses                    : 5752
% 36.73/5.19  # ...of these trivial                  : 4
% 36.73/5.19  # ...subsumed                          : 748
% 36.73/5.19  # ...remaining for further processing  : 5000
% 36.73/5.19  # Other redundant clauses eliminated   : 1673
% 36.73/5.19  # Clauses deleted for lack of memory   : 0
% 36.73/5.19  # Backward-subsumed                    : 16
% 36.73/5.19  # Backward-rewritten                   : 1
% 36.73/5.19  # Generated clauses                    : 1545
% 36.73/5.19  # ...of the previous two non-redundant : 1546
% 36.73/5.19  # ...aggressively subsumed             : 0
% 36.73/5.19  # Contextual simplify-reflections      : 69
% 36.73/5.19  # Paramodulations                      : 0
% 36.73/5.19  # Factorizations                       : 0
% 36.73/5.19  # NegExts                              : 0
% 36.73/5.19  # Equation resolutions                 : 1673
% 36.73/5.19  # Total rewrite steps                  : 33
% 36.73/5.19  # Propositional unsat checks           : 1
% 36.73/5.19  #    Propositional check models        : 0
% 36.73/5.19  #    Propositional check unsatisfiable : 1
% 36.73/5.19  #    Propositional clauses             : 4132
% 36.73/5.19  #    Propositional clauses after purity: 83
% 36.73/5.19  #    Propositional unsat core size     : 3
% 36.73/5.19  #    Propositional preprocessing time  : 0.000
% 36.73/5.19  #    Propositional encoding time       : 0.023
% 36.73/5.19  #    Propositional solver time         : 0.000
% 36.73/5.19  #    Success case prop preproc time    : 0.000
% 36.73/5.19  #    Success case prop encoding time   : 0.023
% 36.73/5.19  #    Success case prop solver time     : 0.000
% 36.73/5.19  # Current number of processed clauses  : 3438
% 36.73/5.19  #    Positive orientable unit clauses  : 51
% 36.73/5.19  #    Positive unorientable unit clauses: 0
% 36.73/5.19  #    Negative unit clauses             : 7
% 36.73/5.19  #    Non-unit-clauses                  : 3380
% 36.73/5.19  # Current number of unprocessed clauses: 694
% 36.73/5.19  # ...number of literals in the above   : 10078
% 36.73/5.19  # Current number of archived formulas  : 0
% 36.73/5.19  # Current number of archived clauses   : 17
% 36.73/5.19  # Clause-clause subsumption calls (NU) : 6455660
% 36.73/5.19  # Rec. Clause-clause subsumption calls : 60746
% 36.73/5.19  # Non-unit clause-clause subsumptions  : 832
% 36.73/5.19  # Unit Clause-clause subsumption calls : 219
% 36.73/5.19  # Rewrite failures with RHS unbound    : 0
% 36.73/5.19  # BW rewrite match attempts            : 1
% 36.73/5.19  # BW rewrite match successes           : 1
% 36.73/5.19  # Condensation attempts                : 0
% 36.73/5.19  # Condensation successes               : 0
% 36.73/5.19  # Termbank termtop insertions          : 700060
% 36.73/5.19  
% 36.73/5.19  # -------------------------------------------------
% 36.73/5.19  # User time                : 4.720 s
% 36.73/5.19  # System time              : 0.028 s
% 36.73/5.19  # Total time               : 4.748 s
% 36.73/5.19  # Maximum resident set size: 14268 pages
% 36.73/5.19  
% 36.73/5.19  # -------------------------------------------------
% 36.73/5.19  # User time                : 22.575 s
% 36.73/5.19  # System time              : 0.093 s
% 36.73/5.19  # Total time               : 22.668 s
% 36.73/5.19  # Maximum resident set size: 1864 pages
% 36.73/5.19  % E---3.1 exiting
%------------------------------------------------------------------------------