TSTP Solution File: SEV177^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEV177^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 04:07:56 EDT 2024

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (   6 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   60 (  10   ~;   7   |;   5   &;  35   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   13 (   1   ^  10   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    esk1_0: ( $i > $o ) > $i ).

thf(decl_23,type,
    epred1_0: $i > $o ).

thf(decl_24,type,
    epred2_1: $i > $i > $o ).

thf(cTHM144_pme,conjecture,
    ! [X1: ( $i > $o ) > $i,X2: $i > $o] :
      ( ( X2
        = ( ^ [X3: $i] :
            ? [X4: $i > $o] :
              ( ~ ( X4 @ ( X1 @ X4 ) )
              & ( X3
                = ( X1 @ X4 ) ) ) ) )
     => ( X2 @ ( X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM144_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: ( $i > $o ) > $i,X2: $i > $o] :
        ( ! [X7: $i] :
            ( ( X2 @ X7 )
          <=> ? [X4: $i > $o] :
                ( ~ ( X4 @ ( X1 @ X4 ) )
                & ( X7
                  = ( X1 @ X4 ) ) ) )
       => ( X2 @ ( X1 @ X2 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM144_pme])])]) ).

thf(c_0_2,negated_conjecture,
    ! [X10: $i,X12: $i > $o] :
      ( ( ~ ( epred2_1 @ X10 @ ( esk1_0 @ ( epred2_1 @ X10 ) ) )
        | ~ ( epred1_0 @ X10 ) )
      & ( ( X10
          = ( esk1_0 @ ( epred2_1 @ X10 ) ) )
        | ~ ( epred1_0 @ X10 ) )
      & ( ( X12 @ ( esk1_0 @ X12 ) )
        | ( X10
         != ( esk1_0 @ X12 ) )
        | ( epred1_0 @ X10 ) )
      & ~ ( epred1_0 @ ( esk1_0 @ epred1_0 ) ) ),
    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,
    ! [X3: $i,X2: $i > $o] :
      ( ( X2 @ ( esk1_0 @ X2 ) )
      | ( epred1_0 @ X3 )
      | ( X3
       != ( esk1_0 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred1_0 @ ( esk1_0 @ X2 ) )
      | ( X2 @ ( esk1_0 @ X2 ) ) ),
    inference(er,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ~ ( epred1_0 @ ( esk1_0 @ epred1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_4]),c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEV177^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.12/0.35  % Computer : n013.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Sun May 19 19:10:38 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  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
% 0.19/0.48  # Version: 3.1.0-ho
% 0.19/0.48  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.48  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting sh2lt with 1200s (4) cores
% 0.19/0.48  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.48  # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48  # Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.48  # post_as_ho1 with pid 29005 completed with status 0
% 0.19/0.48  # Result found by post_as_ho1
% 0.19/0.48  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.48  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting sh2lt with 1200s (4) cores
% 0.19/0.48  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.48  # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: HGHSF-FFSF00-SHHFFSBN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48  # new_ho_10 with pid 29007 completed with status 0
% 0.19/0.48  # Result found by new_ho_10
% 0.19/0.48  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.48  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting sh2lt with 1200s (4) cores
% 0.19/0.48  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.48  # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: HGHSF-FFSF00-SHHFFSBN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Theorem
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 1
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 4
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 4
% 0.19/0.48  # Processed clauses                    : 9
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 0
% 0.19/0.48  # ...remaining for further processing  : 9
% 0.19/0.48  # Other redundant clauses eliminated   : 1
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 0
% 0.19/0.48  # Backward-rewritten                   : 0
% 0.19/0.48  # Generated clauses                    : 6
% 0.19/0.48  # ...of the previous two non-redundant : 2
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 3
% 0.19/0.48  # Factorizations                       : 2
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 1
% 0.19/0.48  # Disequality decompositions           : 0
% 0.19/0.48  # Total rewrite steps                  : 0
% 0.19/0.48  # ...of those cached                   : 0
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 4
% 0.19/0.48  #    Positive orientable unit clauses  : 0
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 1
% 0.19/0.48  #    Non-unit-clauses                  : 3
% 0.19/0.48  # Current number of unprocessed clauses: 1
% 0.19/0.48  # ...number of literals in the above   : 2
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 4
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 1
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 1
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.48  # Unit Clause-clause subsumption calls : 3
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 0
% 0.19/0.48  # BW rewrite match successes           : 0
% 0.19/0.48  # Condensation attempts                : 9
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 488
% 0.19/0.48  # Search garbage collected termcells   : 167
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.002 s
% 0.19/0.48  # System time              : 0.002 s
% 0.19/0.48  # Total time               : 0.003 s
% 0.19/0.48  # Maximum resident set size: 1760 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.003 s
% 0.19/0.48  # System time              : 0.003 s
% 0.19/0.48  # Total time               : 0.006 s
% 0.19/0.48  # Maximum resident set size: 1700 pages
% 0.19/0.48  % E---3.1 exiting
% 0.19/0.48  % E exiting
%------------------------------------------------------------------------------