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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS181+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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  : 600s
% DateTime : Sun Jul 17 03:00:02 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   54 (  20   ~;  20   |;   9   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (   4 sgn  24   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(nota,axiom,
    ! [X1,X2] :
      ( ? [X3,X4] :
          ( status(X3,X4,X1)
          & ~ status(X3,X4,X2) )
    <=> nota(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).

fof(nota_isa_nota,conjecture,
    ! [X1,X2,X11] :
      ( ( isa(X1,X2)
        & nota(X1,X11) )
     => nota(X2,X11) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nota_isa_nota) ).

fof(isa,axiom,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ( status(X3,X4,X1)
         => status(X3,X4,X2) )
    <=> isa(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).

fof(c_0_3,plain,
    ! [X5,X6,X7,X8,X5,X6] :
      ( ( ~ status(X7,X8,X5)
        | status(X7,X8,X6)
        | nota(X5,X6) )
      & ( status(esk4_2(X5,X6),esk5_2(X5,X6),X5)
        | ~ nota(X5,X6) )
      & ( ~ status(esk4_2(X5,X6),esk5_2(X5,X6),X6)
        | ~ nota(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nota])])])])])])])]) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X11] :
        ( ( isa(X1,X2)
          & nota(X1,X11) )
       => nota(X2,X11) ),
    inference(assume_negation,[status(cth)],[nota_isa_nota]) ).

cnf(c_0_5,plain,
    ( nota(X1,X2)
    | status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( status(esk4_2(X1,X2),esk5_2(X1,X2),X1)
    | ~ nota(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_7,negated_conjecture,
    ( isa(esk1_0,esk2_0)
    & nota(esk1_0,esk3_0)
    & ~ nota(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_8,plain,
    ! [X5,X6,X5,X6,X9,X10] :
      ( ( status(esk6_2(X5,X6),esk7_2(X5,X6),X5)
        | isa(X5,X6) )
      & ( ~ status(esk6_2(X5,X6),esk7_2(X5,X6),X6)
        | isa(X5,X6) )
      & ( ~ isa(X5,X6)
        | ~ status(X9,X10,X5)
        | status(X9,X10,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])])]) ).

cnf(c_0_9,plain,
    ( nota(X1,X2)
    | status(esk4_2(X1,X3),esk5_2(X1,X3),X2)
    | ~ nota(X1,X3) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    nota(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( status(X1,X2,X3)
    | ~ status(X1,X2,X4)
    | ~ isa(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( nota(esk1_0,X1)
    | status(esk4_2(esk1_0,esk3_0),esk5_2(esk1_0,esk3_0),X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( ~ nota(X1,X2)
    | ~ status(esk4_2(X1,X2),esk5_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ( nota(esk1_0,X1)
    | status(esk4_2(esk1_0,esk3_0),esk5_2(esk1_0,esk3_0),X2)
    | ~ isa(X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    isa(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ~ nota(X1,X1),
    inference(spm,[status(thm)],[c_0_13,c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    status(esk4_2(esk1_0,esk3_0),esk5_2(esk1_0,esk3_0),esk2_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    ( nota(esk2_0,X1)
    | status(esk4_2(esk1_0,esk3_0),esk5_2(esk1_0,esk3_0),X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_17]) ).

cnf(c_0_19,negated_conjecture,
    ~ nota(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_10])]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS181+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 07:17:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.014 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 21
% 0.22/1.41  # Proof object clause steps            : 14
% 0.22/1.41  # Proof object formula steps           : 7
% 0.22/1.41  # Proof object conjectures             : 11
% 0.22/1.41  # Proof object clause conjectures      : 8
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 7
% 0.22/1.41  # Proof object initial formulas used   : 3
% 0.22/1.41  # Proof object generating inferences   : 7
% 0.22/1.41  # Proof object simplifying inferences  : 4
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 14
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 11
% 0.22/1.41  # Initial clauses                      : 9
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 9
% 0.22/1.41  # Processed clauses                    : 27
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 3
% 0.22/1.41  # ...remaining for further processing  : 24
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 0
% 0.22/1.41  # Backward-rewritten                   : 0
% 0.22/1.41  # Generated clauses                    : 38
% 0.22/1.41  # ...of the previous two non-trivial   : 34
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 38
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 24
% 0.22/1.41  #    Positive orientable unit clauses  : 4
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 3
% 0.22/1.41  #    Non-unit-clauses                  : 17
% 0.22/1.41  # Current number of unprocessed clauses: 16
% 0.22/1.41  # ...number of literals in the above   : 48
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 0
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 44
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 39
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 3
% 0.22/1.41  # Unit Clause-clause subsumption calls : 12
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 5
% 0.22/1.41  # BW rewrite match successes           : 0
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 1239
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.014 s
% 0.22/1.41  # System time              : 0.002 s
% 0.22/1.41  # Total time               : 0.016 s
% 0.22/1.41  # Maximum resident set size: 2820 pages
%------------------------------------------------------------------------------