TSTP Solution File: SEV175^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEV175^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 04:07:55 EDT 2024

% Result   : Theorem 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   2 typ;   0 def)
%            Number of atoms       :   18 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   71 (  13   ~;   3   |;   9   &;  46   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   20 (   6   ^   5   !;   9   ?;  20   :)

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

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

thf(cTHM144A_pme,conjecture,
    ! [X1: ( $i > $o ) > $i] :
    ? [X2: $i > $o] :
      ( ~ ( X2 @ ( X1 @ X2 ) )
      & ( ( X1
          @ ^ [X3: $i] :
            ? [X4: $i > $o] :
              ( ~ ( X4 @ ( X1 @ X4 ) )
              & ( X3
                = ( X1 @ X4 ) ) ) )
        = ( X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM144A_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: ( $i > $o ) > $i] :
      ? [X2: $i > $o] :
        ( ~ ( X2 @ ( X1 @ X2 ) )
        & ( ( X1
            @ ^ [Z0: $i] :
              ? [X4: $i > $o] :
                ( ~ ( X4 @ ( X1 @ X4 ) )
                & ( Z0
                  = ( X1 @ X4 ) ) ) )
          = ( X1 @ X2 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM144A_pme])]) ).

thf(c_0_2,negated_conjecture,
    ! [X8: $i > $o] :
      ( ( X8 @ ( esk1_0 @ X8 ) )
      | ( ( esk1_0
          @ ^ [Z0: $i] :
            ? [X4: $i > $o] :
              ( ~ ( X4 @ ( esk1_0 @ X4 ) )
              & ( Z0
                = ( esk1_0 @ X4 ) ) ) )
       != ( esk1_0 @ X8 ) ) ),
    inference(fof_nnf,[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: $i > $o] :
      ( ( X2 @ ( esk1_0 @ X2 ) )
      | ( ( esk1_0
          @ ^ [Z0: $i] :
            ? [X12: $i > $o] :
              ( ~ ( X12 @ ( esk1_0 @ X12 ) )
              & ( Z0
                = ( esk1_0 @ X12 ) ) ) )
       != ( esk1_0 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ? [X13: $i > $o] :
      ( ~ ( X13 @ ( esk1_0 @ X13 ) )
      & ( ( esk1_0
          @ ^ [Z0: $i] :
            ? [X14: $i > $o] :
              ( ~ ( X14 @ ( esk1_0 @ X14 ) )
              & ( Z0
                = ( esk1_0 @ X14 ) ) ) )
        = ( esk1_0 @ X13 ) ) ),
    inference(er,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ( ( esk1_0
      @ ^ [Z0: $i] :
        ? [X15: $i > $o] :
          ( ~ ( X15 @ ( esk1_0 @ X15 ) )
          & ( Z0
            = ( esk1_0 @ X15 ) ) ) )
    = ( esk1_0 @ epred1_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( X2 @ ( esk1_0 @ X2 ) )
      | ( ( esk1_0 @ epred1_0 )
       != ( esk1_0 @ X2 ) ) ),
    inference(rw,[status(thm)],[c_0_3,c_0_5]) ).

thf(c_0_7,negated_conjecture,
    epred1_0 @ ( esk1_0 @ epred1_0 ),
    inference(er,[status(thm)],[c_0_6]) ).

thf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEV175^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 19:08:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  Running higher-order theorem proving
% 0.19/0.48  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
% 0.19/0.50  # Version: 3.1.0-ho
% 0.19/0.50  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.50  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting sh2lt with 1200s (4) cores
% 0.19/0.50  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.50  # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.50  # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.50  # Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.50  # new_ho_10_unif with pid 7918 completed with status 0
% 0.19/0.50  # Result found by new_ho_10_unif
% 0.19/0.50  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.50  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting sh2lt with 1200s (4) cores
% 0.19/0.50  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.50  # No SInE strategy applied
% 0.19/0.50  # Search class: HHUSF-FFSF00-DHHFFMBN
% 0.19/0.50  # partial match(3): HGUNF-FFSF00-SHHFFMBN
% 0.19/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting ehoh_best6_lambda with 163s (1) cores
% 0.19/0.50  # ehoh_best6_lambda with pid 7923 completed with status 0
% 0.19/0.50  # Result found by ehoh_best6_lambda
% 0.19/0.50  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.50  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting sh2lt with 1200s (4) cores
% 0.19/0.50  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.50  # No SInE strategy applied
% 0.19/0.50  # Search class: HHUSF-FFSF00-DHHFFMBN
% 0.19/0.50  # partial match(3): HGUNF-FFSF00-SHHFFMBN
% 0.19/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting ehoh_best6_lambda with 163s (1) cores
% 0.19/0.50  # Preprocessing time       : 0.001 s
% 0.19/0.50  # Presaturation interreduction done
% 0.19/0.50  
% 0.19/0.50  # Proof found!
% 0.19/0.50  # SZS status Theorem
% 0.19/0.50  # SZS output start CNFRefutation
% See solution above
% 0.19/0.50  # Parsed axioms                        : 1
% 0.19/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.50  # Initial clauses                      : 1
% 0.19/0.50  # Removed in clause preprocessing      : 0
% 0.19/0.50  # Initial clauses in saturation        : 1
% 0.19/0.50  # Processed clauses                    : 13
% 0.19/0.50  # ...of these trivial                  : 0
% 0.19/0.50  # ...subsumed                          : 2
% 0.19/0.50  # ...remaining for further processing  : 10
% 0.19/0.50  # Other redundant clauses eliminated   : 0
% 0.19/0.50  # Clauses deleted for lack of memory   : 0
% 0.19/0.50  # Backward-subsumed                    : 0
% 0.19/0.50  # Backward-rewritten                   : 2
% 0.19/0.50  # Generated clauses                    : 19
% 0.19/0.50  # ...of the previous two non-redundant : 16
% 0.19/0.50  # ...aggressively subsumed             : 0
% 0.19/0.50  # Contextual simplify-reflections      : 0
% 0.19/0.50  # Paramodulations                      : 1
% 0.19/0.50  # Factorizations                       : 0
% 0.19/0.50  # NegExts                              : 1
% 0.19/0.50  # Equation resolutions                 : 2
% 0.19/0.50  # Disequality decompositions           : 0
% 0.19/0.50  # Total rewrite steps                  : 7
% 0.19/0.50  # ...of those cached                   : 5
% 0.19/0.50  # Propositional unsat checks           : 0
% 0.19/0.50  #    Propositional check models        : 0
% 0.19/0.50  #    Propositional check unsatisfiable : 0
% 0.19/0.50  #    Propositional clauses             : 0
% 0.19/0.50  #    Propositional clauses after purity: 0
% 0.19/0.50  #    Propositional unsat core size     : 0
% 0.19/0.50  #    Propositional preprocessing time  : 0.000
% 0.19/0.50  #    Propositional encoding time       : 0.000
% 0.19/0.50  #    Propositional solver time         : 0.000
% 0.19/0.50  #    Success case prop preproc time    : 0.000
% 0.19/0.50  #    Success case prop encoding time   : 0.000
% 0.19/0.50  #    Success case prop solver time     : 0.000
% 0.19/0.50  # Current number of processed clauses  : 6
% 0.19/0.50  #    Positive orientable unit clauses  : 3
% 0.19/0.50  #    Positive unorientable unit clauses: 0
% 0.19/0.50  #    Negative unit clauses             : 2
% 0.19/0.50  #    Non-unit-clauses                  : 1
% 0.19/0.50  # Current number of unprocessed clauses: 5
% 0.19/0.50  # ...number of literals in the above   : 6
% 0.19/0.50  # Current number of archived formulas  : 0
% 0.19/0.50  # Current number of archived clauses   : 4
% 0.19/0.50  # Clause-clause subsumption calls (NU) : 1
% 0.19/0.50  # Rec. Clause-clause subsumption calls : 1
% 0.19/0.50  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.50  # Unit Clause-clause subsumption calls : 1
% 0.19/0.50  # Rewrite failures with RHS unbound    : 0
% 0.19/0.50  # BW rewrite match attempts            : 1
% 0.19/0.50  # BW rewrite match successes           : 1
% 0.19/0.50  # Condensation attempts                : 0
% 0.19/0.50  # Condensation successes               : 0
% 0.19/0.50  # Termbank termtop insertions          : 1307
% 0.19/0.50  # Search garbage collected termcells   : 64
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.003 s
% 0.19/0.50  # System time              : 0.001 s
% 0.19/0.50  # Total time               : 0.005 s
% 0.19/0.50  # Maximum resident set size: 1740 pages
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.004 s
% 0.19/0.50  # System time              : 0.004 s
% 0.19/0.50  # Total time               : 0.008 s
% 0.19/0.50  # Maximum resident set size: 1708 pages
% 0.19/0.50  % E---3.1 exiting
% 0.19/0.50  % E exiting
%------------------------------------------------------------------------------