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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT002+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 22:09:28 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   33 (  11 unt;   0 def)
%            Number of atoms       :  135 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  169 (  67   ~;  64   |;  31   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   84 (   2 sgn  46   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t2_FOL,conjecture,
    ! [X1,X9,X10,X4,X5] :
      ( ( organization(X1,X4)
        & organization(X1,X5)
        & reorganization_free(X1,X4,X5)
        & inertia(X1,X9,X4)
        & inertia(X1,X10,X5)
        & greater(X5,X4) )
     => greater(X10,X9) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_FOL) ).

fof(mp4,axiom,
    ! [X1,X4,X5] :
      ( reorganization_free(X1,X4,X5)
     => ( reorganization_free(X1,X4,X4)
        & reorganization_free(X1,X5,X5) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp4) ).

fof(a4_FOL,hypothesis,
    ! [X1,X7,X8,X4,X5] :
      ( ( organization(X1,X4)
        & organization(X1,X5)
        & reorganization_free(X1,X4,X5)
        & reproducibility(X1,X7,X4)
        & reproducibility(X1,X8,X5)
        & greater(X5,X4) )
     => greater(X8,X7) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',a4_FOL) ).

fof(a3_FOL,hypothesis,
    ! [X1,X6,X4,X5,X7,X8,X9,X10] :
      ( ( organization(X1,X4)
        & organization(X6,X5)
        & reorganization_free(X1,X4,X4)
        & reorganization_free(X6,X5,X5)
        & reproducibility(X1,X7,X4)
        & reproducibility(X6,X8,X5)
        & inertia(X1,X9,X4)
        & inertia(X6,X10,X5) )
     => ( greater(X8,X7)
      <=> greater(X10,X9) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',a3_FOL) ).

fof(mp3,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : reproducibility(X1,X3,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp3) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X9,X10,X4,X5] :
        ( ( organization(X1,X4)
          & organization(X1,X5)
          & reorganization_free(X1,X4,X5)
          & inertia(X1,X9,X4)
          & inertia(X1,X10,X5)
          & greater(X5,X4) )
       => greater(X10,X9) ),
    inference(assume_negation,[status(cth)],[t2_FOL]) ).

fof(c_0_6,plain,
    ! [X6,X7,X8] :
      ( ( reorganization_free(X6,X7,X7)
        | ~ reorganization_free(X6,X7,X8) )
      & ( reorganization_free(X6,X8,X8)
        | ~ reorganization_free(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp4])])]) ).

fof(c_0_7,negated_conjecture,
    ( organization(esk1_0,esk4_0)
    & organization(esk1_0,esk5_0)
    & reorganization_free(esk1_0,esk4_0,esk5_0)
    & inertia(esk1_0,esk2_0,esk4_0)
    & inertia(esk1_0,esk3_0,esk5_0)
    & greater(esk5_0,esk4_0)
    & ~ greater(esk3_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

fof(c_0_8,hypothesis,
    ! [X9,X10,X11,X12,X13] :
      ( ~ organization(X9,X12)
      | ~ organization(X9,X13)
      | ~ reorganization_free(X9,X12,X13)
      | ~ reproducibility(X9,X10,X12)
      | ~ reproducibility(X9,X11,X13)
      | ~ greater(X13,X12)
      | greater(X11,X10) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a4_FOL])])])]) ).

fof(c_0_9,hypothesis,
    ! [X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ( ~ greater(X16,X15)
        | greater(X18,X17)
        | ~ organization(X11,X13)
        | ~ organization(X12,X14)
        | ~ reorganization_free(X11,X13,X13)
        | ~ reorganization_free(X12,X14,X14)
        | ~ reproducibility(X11,X15,X13)
        | ~ reproducibility(X12,X16,X14)
        | ~ inertia(X11,X17,X13)
        | ~ inertia(X12,X18,X14) )
      & ( ~ greater(X18,X17)
        | greater(X16,X15)
        | ~ organization(X11,X13)
        | ~ organization(X12,X14)
        | ~ reorganization_free(X11,X13,X13)
        | ~ reorganization_free(X12,X14,X14)
        | ~ reproducibility(X11,X15,X13)
        | ~ reproducibility(X12,X16,X14)
        | ~ inertia(X11,X17,X13)
        | ~ inertia(X12,X18,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a3_FOL])])]) ).

cnf(c_0_10,plain,
    ( reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    reorganization_free(esk1_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ reproducibility(X5,X1,X3)
    | ~ reproducibility(X5,X2,X4)
    | ~ reorganization_free(X5,X4,X3)
    | ~ organization(X5,X3)
    | ~ organization(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    greater(esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    organization(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    organization(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_16,plain,
    ! [X4,X5] :
      ( ~ organization(X4,X5)
      | reproducibility(X4,esk6_2(X4,X5),X5) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3])])])])]) ).

cnf(c_0_17,hypothesis,
    ( greater(X2,X5)
    | ~ inertia(X1,X2,X3)
    | ~ inertia(X4,X5,X6)
    | ~ reproducibility(X1,X7,X3)
    | ~ reproducibility(X4,X8,X6)
    | ~ reorganization_free(X1,X3,X3)
    | ~ reorganization_free(X4,X6,X6)
    | ~ organization(X1,X3)
    | ~ organization(X4,X6)
    | ~ greater(X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    inertia(esk1_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_19,negated_conjecture,
    reorganization_free(esk1_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(esk1_0,X2,esk4_0)
    | ~ reproducibility(esk1_0,X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_11]),c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_21,plain,
    ( reproducibility(X1,esk6_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( greater(X1,esk2_0)
    | ~ greater(X2,X3)
    | ~ inertia(X4,X1,X5)
    | ~ reorganization_free(X4,X5,X5)
    | ~ reproducibility(esk1_0,X3,esk4_0)
    | ~ reproducibility(X4,X2,X5)
    | ~ organization(X4,X5) ),
    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_14])]),c_0_19])]) ).

cnf(c_0_23,negated_conjecture,
    ( greater(X1,esk6_2(esk1_0,esk4_0))
    | ~ reproducibility(esk1_0,X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14])]) ).

cnf(c_0_24,negated_conjecture,
    ( greater(X1,esk2_0)
    | ~ greater(X2,esk6_2(esk1_0,esk4_0))
    | ~ inertia(X3,X1,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_14])]) ).

cnf(c_0_25,negated_conjecture,
    greater(esk6_2(esk1_0,esk5_0),esk6_2(esk1_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_15])]) ).

cnf(c_0_26,plain,
    ( reorganization_free(X1,X3,X3)
    | ~ reorganization_free(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(X1,esk2_0)
    | ~ inertia(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ reproducibility(X2,esk6_2(esk1_0,esk5_0),X3)
    | ~ organization(X2,X3) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    reorganization_free(esk1_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_26,c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    ( greater(X1,esk2_0)
    | ~ inertia(esk1_0,X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_28]),c_0_15])]) ).

cnf(c_0_30,negated_conjecture,
    inertia(esk1_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31,negated_conjecture,
    ~ greater(esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT002+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n028.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 : Thu Jun  9 08:35:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.015 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 33
% 0.21/1.40  # Proof object clause steps            : 22
% 0.21/1.40  # Proof object formula steps           : 11
% 0.21/1.40  # Proof object conjectures             : 20
% 0.21/1.40  # Proof object clause conjectures      : 17
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 12
% 0.21/1.40  # Proof object initial formulas used   : 5
% 0.21/1.40  # Proof object generating inferences   : 10
% 0.21/1.40  # Proof object simplifying inferences  : 18
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 5
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.21/1.40  # Initial clauses                      : 13
% 0.21/1.40  # Removed in clause preprocessing      : 0
% 0.21/1.40  # Initial clauses in saturation        : 13
% 0.21/1.40  # Processed clauses                    : 30
% 0.21/1.40  # ...of these trivial                  : 0
% 0.21/1.40  # ...subsumed                          : 0
% 0.21/1.40  # ...remaining for further processing  : 30
% 0.21/1.40  # Other redundant clauses eliminated   : 0
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 0
% 0.21/1.40  # Backward-rewritten                   : 0
% 0.21/1.40  # Generated clauses                    : 26
% 0.21/1.40  # ...of the previous two non-trivial   : 21
% 0.21/1.40  # Contextual simplify-reflections      : 0
% 0.21/1.40  # Paramodulations                      : 26
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 0
% 0.21/1.40  # Current number of processed clauses  : 30
% 0.21/1.40  #    Positive orientable unit clauses  : 9
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 1
% 0.21/1.40  #    Non-unit-clauses                  : 20
% 0.21/1.40  # Current number of unprocessed clauses: 4
% 0.21/1.40  # ...number of literals in the above   : 26
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 0
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 186
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 32
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.21/1.40  # Unit Clause-clause subsumption calls : 0
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 1
% 0.21/1.40  # BW rewrite match successes           : 0
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 1647
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.015 s
% 0.21/1.40  # System time              : 0.002 s
% 0.21/1.40  # Total time               : 0.017 s
% 0.21/1.40  # Maximum resident set size: 2776 pages
%------------------------------------------------------------------------------