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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU224+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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 : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:18:01 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   64 (  24   ~;  23   |;  11   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   1 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l82_funct_1,conjecture,
    ! [X1,X2,X3] :
      ( ( relation(X3)
        & function(X3) )
     => ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
      <=> ( in(X2,relation_dom(X3))
          & in(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l82_funct_1) ).

fof(t86_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(X1,relation_dom(relation_dom_restriction(X3,X2)))
      <=> ( in(X1,X2)
          & in(X1,relation_dom(X3)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t86_relat_1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( relation(X3)
          & function(X3) )
       => ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
        <=> ( in(X2,relation_dom(X3))
            & in(X2,X1) ) ) ),
    inference(assume_negation,[status(cth)],[l82_funct_1]) ).

fof(c_0_3,negated_conjecture,
    ( relation(esk3_0)
    & function(esk3_0)
    & ( ~ in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0)))
      | ~ in(esk2_0,relation_dom(esk3_0))
      | ~ in(esk2_0,esk1_0) )
    & ( in(esk2_0,relation_dom(esk3_0))
      | in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0))) )
    & ( in(esk2_0,esk1_0)
      | in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,lemma,
    ! [X4,X5,X6] :
      ( ( in(X4,X5)
        | ~ in(X4,relation_dom(relation_dom_restriction(X6,X5)))
        | ~ relation(X6) )
      & ( in(X4,relation_dom(X6))
        | ~ in(X4,relation_dom(relation_dom_restriction(X6,X5)))
        | ~ relation(X6) )
      & ( ~ in(X4,X5)
        | ~ in(X4,relation_dom(X6))
        | in(X4,relation_dom(relation_dom_restriction(X6,X5)))
        | ~ relation(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t86_relat_1])])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ in(esk2_0,esk1_0)
    | ~ in(esk2_0,relation_dom(esk3_0))
    | ~ in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,lemma,
    ( in(X2,relation_dom(relation_dom_restriction(X1,X3)))
    | ~ relation(X1)
    | ~ in(X2,relation_dom(X1))
    | ~ in(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    relation(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,lemma,
    ( in(X2,X3)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_dom_restriction(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0)))
    | in(esk2_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ in(esk2_0,relation_dom(esk3_0))
    | ~ in(esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).

cnf(c_0_11,negated_conjecture,
    in(esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).

cnf(c_0_12,negated_conjecture,
    ( in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0)))
    | in(esk2_0,relation_dom(esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,negated_conjecture,
    ~ in(esk2_0,relation_dom(esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_14,lemma,
    ( in(X2,relation_dom(X1))
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_dom_restriction(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_0))),
    inference(sr,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,lemma,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7])]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU224+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 12:49:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.030 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 17
% 0.23/1.42  # Proof object clause steps            : 12
% 0.23/1.42  # Proof object formula steps           : 5
% 0.23/1.42  # Proof object conjectures             : 11
% 0.23/1.42  # Proof object clause conjectures      : 8
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 7
% 0.23/1.42  # Proof object initial formulas used   : 2
% 0.23/1.42  # Proof object generating inferences   : 3
% 0.23/1.42  # Proof object simplifying inferences  : 10
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 239
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 138
% 0.23/1.42  # Initial clauses                      : 195
% 0.23/1.42  # Removed in clause preprocessing      : 5
% 0.23/1.42  # Initial clauses in saturation        : 190
% 0.23/1.42  # Processed clauses                    : 203
% 0.23/1.42  # ...of these trivial                  : 5
% 0.23/1.42  # ...subsumed                          : 11
% 0.23/1.42  # ...remaining for further processing  : 187
% 0.23/1.42  # Other redundant clauses eliminated   : 7
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 1
% 0.23/1.42  # Backward-rewritten                   : 23
% 0.23/1.42  # Generated clauses                    : 840
% 0.23/1.42  # ...of the previous two non-trivial   : 755
% 0.23/1.42  # Contextual simplify-reflections      : 10
% 0.23/1.42  # Paramodulations                      : 811
% 0.23/1.42  # Factorizations                       : 8
% 0.23/1.42  # Equation resolutions                 : 20
% 0.23/1.42  # Current number of processed clauses  : 160
% 0.23/1.42  #    Positive orientable unit clauses  : 28
% 0.23/1.42  #    Positive unorientable unit clauses: 1
% 0.23/1.42  #    Negative unit clauses             : 7
% 0.23/1.42  #    Non-unit-clauses                  : 124
% 0.23/1.42  # Current number of unprocessed clauses: 599
% 0.23/1.42  # ...number of literals in the above   : 2806
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 26
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 11619
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 4074
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 22
% 0.23/1.42  # Unit Clause-clause subsumption calls : 475
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 31
% 0.23/1.42  # BW rewrite match successes           : 8
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 25965
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.066 s
% 0.23/1.42  # System time              : 0.001 s
% 0.23/1.42  # Total time               : 0.067 s
% 0.23/1.42  # Maximum resident set size: 4596 pages
%------------------------------------------------------------------------------