TSTP Solution File: SEU891^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU891^5 : TPTP v8.2.0. 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:30:46 EDT 2024

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   45 (  21 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   85 (  11   ~;  17   |;  11   &;  44   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^   5   !;   6   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    b: $tType ).

thf(decl_sort2,type,
    a: $tType ).

thf(decl_22,type,
    cF: b > a ).

thf(decl_23,type,
    cS: b > $o ).

thf(decl_24,type,
    cR: b > $o ).

thf(decl_25,type,
    esk1_0: a ).

thf(decl_26,type,
    esk2_0: b ).

thf(decl_27,type,
    esk3_0: b ).

thf(cTHM34B_pme,conjecture,
    ! [X1: a] :
      ( ( ? [X2: b] :
            ( ( cR @ X2 )
            & ( X1
              = ( cF @ X2 ) ) )
        | ? [X2: b] :
            ( ( cS @ X2 )
            & ( X1
              = ( cF @ X2 ) ) ) )
     => ? [X2: b] :
          ( ( ( cR @ X2 )
            | ( cS @ X2 ) )
          & ( X1
            = ( cF @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM34B_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: a] :
        ( ( ? [X2: b] :
              ( ( cR @ X2 )
              & ( X1
                = ( cF @ X2 ) ) )
          | ? [X2: b] :
              ( ( cS @ X2 )
              & ( X1
                = ( cF @ X2 ) ) ) )
       => ? [X2: b] :
            ( ( ( cR @ X2 )
              | ( cS @ X2 ) )
            & ( X1
              = ( cF @ X2 ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM34B_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X10: b] :
      ( ( ( cS @ esk3_0 )
        | ( cR @ esk2_0 ) )
      & ( ( esk1_0
          = ( cF @ esk3_0 ) )
        | ( cR @ esk2_0 ) )
      & ( ( cS @ esk3_0 )
        | ( esk1_0
          = ( cF @ esk2_0 ) ) )
      & ( ( esk1_0
          = ( cF @ esk3_0 ) )
        | ( esk1_0
          = ( cF @ esk2_0 ) ) )
      & ( ~ ( cR @ X10 )
        | ( esk1_0
         != ( cF @ X10 ) ) )
      & ( ~ ( cS @ X10 )
        | ( esk1_0
         != ( cF @ X10 ) ) ) ),
    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])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X2: b] :
      ( ~ ( cR @ X2 )
      | ( esk1_0
       != ( cF @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( ( cS @ esk3_0 )
    | ( cR @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( ( cS @ esk3_0 )
    | ( esk1_0
      = ( cF @ esk2_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( ( cS @ esk3_0 )
    | ( ( cF @ esk2_0 )
     != esk1_0 ) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X2: b] :
      ( ~ ( cS @ X2 )
      | ( esk1_0
       != ( cF @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    cS @ esk3_0,
    inference(csr,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_9,negated_conjecture,
    ( ( esk1_0
      = ( cF @ esk3_0 ) )
    | ( cR @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ( ( cF @ esk3_0 )
   != esk1_0 ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ( ( esk1_0
      = ( cF @ esk3_0 ) )
    | ( esk1_0
      = ( cF @ esk2_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_12,negated_conjecture,
    cR @ esk2_0,
    inference(sr,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_13,negated_conjecture,
    ( ( cF @ esk2_0 )
    = esk1_0 ),
    inference(sr,[status(thm)],[c_0_11,c_0_10]) ).

thf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU891^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 17:45:37 EDT 2024
% 0.20/0.34  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  # Version: 3.1.0-ho
% 0.20/0.48  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48  # Starting ho_unfolding_6 with 300s (1) cores
% 0.20/0.48  # Starting sh4l with 300s (1) cores
% 0.20/0.48  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.20/0.48  # new_ho_10 with pid 13118 completed with status 0
% 0.20/0.48  # Result found by new_ho_10
% 0.20/0.48  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: HGHSF-FFSS11-SFFFFFNN
% 0.20/0.48  # partial match(1): FGHSF-FFSS11-SFFFFFNN
% 0.20/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.48  # Starting new_ho_10 with 151s (1) cores
% 0.20/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.48  # Starting sh5l with 136s (1) cores
% 0.20/0.48  # SAT001_MinMin_p005000_rr_RG with pid 13122 completed with status 0
% 0.20/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.48  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: HGHSF-FFSS11-SFFFFFNN
% 0.20/0.48  # partial match(1): FGHSF-FFSS11-SFFFFFNN
% 0.20/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Theorem
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 6
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 11
% 0.20/0.48  # Removed in clause preprocessing      : 5
% 0.20/0.48  # Initial clauses in saturation        : 6
% 0.20/0.48  # Processed clauses                    : 15
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 15
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 1
% 0.20/0.48  # Backward-rewritten                   : 1
% 0.20/0.48  # Generated clauses                    : 5
% 0.20/0.48  # ...of the previous two non-redundant : 4
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 1
% 0.20/0.48  # Paramodulations                      : 4
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Disequality decompositions           : 0
% 0.20/0.48  # Total rewrite steps                  : 2
% 0.20/0.48  # ...of those cached                   : 0
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 6
% 0.20/0.48  #    Positive orientable unit clauses  : 3
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 1
% 0.20/0.48  #    Non-unit-clauses                  : 2
% 0.20/0.48  # Current number of unprocessed clauses: 0
% 0.20/0.48  # ...number of literals in the above   : 0
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 9
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 2
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 2
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 1
% 0.20/0.48  # Unit Clause-clause subsumption calls : 3
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 1
% 0.20/0.48  # BW rewrite match successes           : 1
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 438
% 0.20/0.48  # Search garbage collected termcells   : 119
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.001 s
% 0.20/0.48  # Total time               : 0.005 s
% 0.20/0.48  # Maximum resident set size: 1784 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.011 s
% 0.20/0.48  # System time              : 0.003 s
% 0.20/0.48  # Total time               : 0.014 s
% 0.20/0.48  # Maximum resident set size: 1712 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.48  % E exiting
%------------------------------------------------------------------------------