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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 : Mon Jul 18 18:10:53 EDT 2022

% Result   : Theorem 0.22s 1.39s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   34 (  21 unt;   0 def)
%            Number of atoms       :   64 (   6 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   54 (  24   ~;  21   |;   3   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   19 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(dog_pet_type,axiom,
    ! [X1] :
      ( dog(X1)
     => pet(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dog_pet_type) ).

fof(owner_def,axiom,
    ! [X2,X3] :
      ( ( human(X2)
        & pet(X3) )
     => ( owner(X2,X3)
      <=> X2 = owner_of(X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',owner_def) ).

fof(odie_type,axiom,
    dog(odie),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',odie_type) ).

fof(cat_pet_type,axiom,
    ! [X1] :
      ( cat(X1)
     => pet(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cat_pet_type) ).

fof(cat_chase_axiom,axiom,
    ! [X2,X3] :
      ( ( cat(X2)
        & dog(X3) )
     => ( chased(X3,X2)
       => hates(owner_of(X2),owner_of(X3)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cat_chase_axiom) ).

fof(jon_o_owner_axiom,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',jon_o_owner_axiom) ).

fof(jon_type,axiom,
    human(jon),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',jon_type) ).

fof(garfield_type,axiom,
    cat(garfield),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',garfield_type) ).

fof(jon_conjecture,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',jon_conjecture) ).

fof(jon_g_owner_axiom,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',jon_g_owner_axiom) ).

fof(odie_chase_axiom,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',odie_chase_axiom) ).

fof(c_0_11,plain,
    ! [X2] :
      ( ~ dog(X2)
      | pet(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dog_pet_type])]) ).

fof(c_0_12,plain,
    ! [X4,X5] :
      ( ( ~ owner(X4,X5)
        | X4 = owner_of(X5)
        | ~ human(X4)
        | ~ pet(X5) )
      & ( X4 != owner_of(X5)
        | owner(X4,X5)
        | ~ human(X4)
        | ~ pet(X5) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owner_def])])]) ).

cnf(c_0_13,plain,
    ( pet(X1)
    | ~ dog(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    dog(odie),
    inference(split_conjunct,[status(thm)],[odie_type]) ).

fof(c_0_15,plain,
    ! [X2] :
      ( ~ cat(X2)
      | pet(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cat_pet_type])]) ).

fof(c_0_16,plain,
    ! [X4,X5] :
      ( ~ cat(X4)
      | ~ dog(X5)
      | ~ chased(X5,X4)
      | hates(owner_of(X4),owner_of(X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cat_chase_axiom])]) ).

cnf(c_0_17,plain,
    ( X2 = owner_of(X1)
    | ~ pet(X1)
    | ~ human(X2)
    | ~ owner(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    owner(jon,odie),
    inference(split_conjunct,[status(thm)],[jon_o_owner_axiom]) ).

cnf(c_0_19,plain,
    human(jon),
    inference(split_conjunct,[status(thm)],[jon_type]) ).

cnf(c_0_20,plain,
    pet(odie),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,plain,
    ( pet(X1)
    | ~ cat(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    cat(garfield),
    inference(split_conjunct,[status(thm)],[garfield_type]) ).

fof(c_0_23,negated_conjecture,
    ~ hates(jon,jon),
    inference(assume_negation,[status(cth)],[jon_conjecture]) ).

cnf(c_0_24,plain,
    ( hates(owner_of(X1),owner_of(X2))
    | ~ chased(X2,X1)
    | ~ dog(X2)
    | ~ cat(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    owner_of(odie) = jon,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20])]) ).

cnf(c_0_26,plain,
    owner(jon,garfield),
    inference(split_conjunct,[status(thm)],[jon_g_owner_axiom]) ).

cnf(c_0_27,plain,
    pet(garfield),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_28,negated_conjecture,
    ~ hates(jon,jon),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ( hates(owner_of(X1),jon)
    | ~ chased(odie,X1)
    | ~ cat(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_14])]) ).

cnf(c_0_30,plain,
    owner_of(garfield) = jon,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_19])]),c_0_27])]) ).

cnf(c_0_31,plain,
    chased(odie,garfield),
    inference(split_conjunct,[status(thm)],[odie_chase_axiom]) ).

cnf(c_0_32,negated_conjecture,
    ~ hates(jon,jon),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_22])]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 23:00:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.39  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.39  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.39  # Preprocessing time       : 0.015 s
% 0.22/1.39  
% 0.22/1.39  # Proof found!
% 0.22/1.39  # SZS status Theorem
% 0.22/1.39  # SZS output start CNFRefutation
% See solution above
% 0.22/1.39  # Proof object total steps             : 34
% 0.22/1.39  # Proof object clause steps            : 17
% 0.22/1.39  # Proof object formula steps           : 17
% 0.22/1.39  # Proof object conjectures             : 4
% 0.22/1.39  # Proof object clause conjectures      : 1
% 0.22/1.39  # Proof object formula conjectures     : 3
% 0.22/1.39  # Proof object initial clauses used    : 11
% 0.22/1.39  # Proof object initial formulas used   : 11
% 0.22/1.39  # Proof object generating inferences   : 6
% 0.22/1.39  # Proof object simplifying inferences  : 14
% 0.22/1.39  # Training examples: 0 positive, 0 negative
% 0.22/1.39  # Parsed axioms                        : 19
% 0.22/1.39  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.39  # Initial clauses                      : 23
% 0.22/1.39  # Removed in clause preprocessing      : 0
% 0.22/1.39  # Initial clauses in saturation        : 23
% 0.22/1.39  # Processed clauses                    : 83
% 0.22/1.39  # ...of these trivial                  : 0
% 0.22/1.39  # ...subsumed                          : 24
% 0.22/1.39  # ...remaining for further processing  : 59
% 0.22/1.39  # Other redundant clauses eliminated   : 7
% 0.22/1.39  # Clauses deleted for lack of memory   : 0
% 0.22/1.39  # Backward-subsumed                    : 11
% 0.22/1.39  # Backward-rewritten                   : 6
% 0.22/1.39  # Generated clauses                    : 331
% 0.22/1.39  # ...of the previous two non-trivial   : 313
% 0.22/1.39  # Contextual simplify-reflections      : 4
% 0.22/1.39  # Paramodulations                      : 319
% 0.22/1.39  # Factorizations                       : 4
% 0.22/1.39  # Equation resolutions                 : 8
% 0.22/1.39  # Current number of processed clauses  : 42
% 0.22/1.39  #    Positive orientable unit clauses  : 20
% 0.22/1.39  #    Positive unorientable unit clauses: 0
% 0.22/1.39  #    Negative unit clauses             : 1
% 0.22/1.39  #    Non-unit-clauses                  : 21
% 0.22/1.39  # Current number of unprocessed clauses: 12
% 0.22/1.39  # ...number of literals in the above   : 53
% 0.22/1.39  # Current number of archived formulas  : 0
% 0.22/1.39  # Current number of archived clauses   : 17
% 0.22/1.39  # Clause-clause subsumption calls (NU) : 147
% 0.22/1.39  # Rec. Clause-clause subsumption calls : 119
% 0.22/1.39  # Non-unit clause-clause subsumptions  : 30
% 0.22/1.39  # Unit Clause-clause subsumption calls : 17
% 0.22/1.39  # Rewrite failures with RHS unbound    : 0
% 0.22/1.39  # BW rewrite match attempts            : 3
% 0.22/1.39  # BW rewrite match successes           : 3
% 0.22/1.39  # Condensation attempts                : 0
% 0.22/1.39  # Condensation successes               : 0
% 0.22/1.39  # Termbank termtop insertions          : 2524
% 0.22/1.39  
% 0.22/1.39  # -------------------------------------------------
% 0.22/1.39  # User time                : 0.016 s
% 0.22/1.39  # System time              : 0.004 s
% 0.22/1.39  # Total time               : 0.020 s
% 0.22/1.39  # Maximum resident set size: 2948 pages
%------------------------------------------------------------------------------