TSTP Solution File: MGT003+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT003+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :  135 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  174 (  70   ~;  67   |;  31   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   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   :   90 (   2 sgn  46   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t3_FOL,conjecture,
    ! [X1,X9,X10,X2,X3] :
      ( ( organization(X1,X2)
        & organization(X1,X3)
        & reorganization_free(X1,X2,X3)
        & survival_chance(X1,X9,X2)
        & survival_chance(X1,X10,X3)
        & greater(X3,X2) )
     => greater(X10,X9) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_FOL) ).

fof(mp4,axiom,
    ! [X1,X2,X3] :
      ( reorganization_free(X1,X2,X3)
     => ( reorganization_free(X1,X2,X2)
        & reorganization_free(X1,X3,X3) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp4) ).

fof(t1_FOL,hypothesis,
    ! [X1,X6,X2,X3,X7,X8,X9,X10] :
      ( ( organization(X1,X2)
        & organization(X6,X3)
        & reorganization_free(X1,X2,X2)
        & reorganization_free(X6,X3,X3)
        & inertia(X1,X7,X2)
        & inertia(X6,X8,X3)
        & survival_chance(X1,X9,X2)
        & survival_chance(X6,X10,X3)
        & greater(X8,X7) )
     => greater(X10,X9) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_FOL) ).

fof(t2_FOL,hypothesis,
    ! [X1,X7,X8,X2,X3] :
      ( ( organization(X1,X2)
        & organization(X1,X3)
        & reorganization_free(X1,X2,X3)
        & inertia(X1,X7,X2)
        & inertia(X1,X8,X3)
        & greater(X3,X2) )
     => greater(X8,X7) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_FOL) ).

fof(mp5,axiom,
    ! [X1,X4] :
      ( organization(X1,X4)
     => ? [X5] : inertia(X1,X5,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp5) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X9,X10,X2,X3] :
        ( ( organization(X1,X2)
          & organization(X1,X3)
          & reorganization_free(X1,X2,X3)
          & survival_chance(X1,X9,X2)
          & survival_chance(X1,X10,X3)
          & greater(X3,X2) )
       => greater(X10,X9) ),
    inference(assume_negation,[status(cth)],[t3_FOL]) ).

fof(c_0_6,plain,
    ! [X4,X5,X6] :
      ( ( reorganization_free(X4,X5,X5)
        | ~ reorganization_free(X4,X5,X6) )
      & ( reorganization_free(X4,X6,X6)
        | ~ reorganization_free(X4,X5,X6) ) ),
    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)
    & survival_chance(esk1_0,esk2_0,esk4_0)
    & survival_chance(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,
    ! [X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ organization(X11,X13)
      | ~ organization(X12,X14)
      | ~ reorganization_free(X11,X13,X13)
      | ~ reorganization_free(X12,X14,X14)
      | ~ inertia(X11,X15,X13)
      | ~ inertia(X12,X16,X14)
      | ~ survival_chance(X11,X17,X13)
      | ~ survival_chance(X12,X18,X14)
      | ~ greater(X16,X15)
      | greater(X18,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_FOL])]) ).

cnf(c_0_9,plain,
    ( reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    reorganization_free(esk1_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,hypothesis,
    ! [X9,X10,X11,X12,X13] :
      ( ~ organization(X9,X12)
      | ~ organization(X9,X13)
      | ~ reorganization_free(X9,X12,X13)
      | ~ inertia(X9,X10,X12)
      | ~ inertia(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)],[t2_FOL])])])]) ).

fof(c_0_12,plain,
    ! [X6,X7] :
      ( ~ organization(X6,X7)
      | inertia(X6,esk6_2(X6,X7),X7) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp5])])])])]) ).

cnf(c_0_13,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ survival_chance(X5,X1,X6)
    | ~ survival_chance(X7,X2,X8)
    | ~ inertia(X5,X3,X6)
    | ~ inertia(X7,X4,X8)
    | ~ reorganization_free(X5,X6,X6)
    | ~ reorganization_free(X7,X8,X8)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    survival_chance(esk1_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    organization(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    reorganization_free(esk1_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_17,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ inertia(X5,X1,X3)
    | ~ inertia(X5,X2,X4)
    | ~ reorganization_free(X5,X4,X3)
    | ~ organization(X5,X3)
    | ~ organization(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( inertia(X1,esk6_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( greater(X1,esk2_0)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | ~ inertia(esk1_0,X3,esk4_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5)
    | ~ reorganization_free(X4,X5,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16])]) ).

cnf(c_0_20,hypothesis,
    ( greater(X1,esk6_2(X2,X3))
    | ~ greater(X4,X3)
    | ~ inertia(X2,X1,X4)
    | ~ organization(X2,X3)
    | ~ organization(X2,X4)
    | ~ reorganization_free(X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( greater(X1,esk2_0)
    | ~ greater(X2,esk6_2(esk1_0,esk4_0))
    | ~ survival_chance(X3,X1,X4)
    | ~ inertia(X3,X2,X4)
    | ~ organization(X3,X4)
    | ~ reorganization_free(X3,X4,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_15])]) ).

cnf(c_0_22,hypothesis,
    ( greater(esk6_2(X1,X2),esk6_2(X1,X3))
    | ~ greater(X2,X3)
    | ~ organization(X1,X3)
    | ~ organization(X1,X2)
    | ~ reorganization_free(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_18]) ).

cnf(c_0_23,hypothesis,
    ( greater(X1,esk2_0)
    | ~ greater(X2,esk4_0)
    | ~ survival_chance(X3,X1,X4)
    | ~ inertia(X3,esk6_2(esk1_0,X2),X4)
    | ~ organization(esk1_0,X2)
    | ~ organization(X3,X4)
    | ~ reorganization_free(esk1_0,esk4_0,X2)
    | ~ reorganization_free(X3,X4,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15])]) ).

cnf(c_0_24,plain,
    ( reorganization_free(X1,X3,X3)
    | ~ reorganization_free(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,hypothesis,
    ( greater(X1,esk2_0)
    | ~ greater(X2,esk4_0)
    | ~ survival_chance(esk1_0,X1,X2)
    | ~ organization(esk1_0,X2)
    | ~ reorganization_free(esk1_0,esk4_0,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    survival_chance(esk1_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,negated_conjecture,
    greater(esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28,negated_conjecture,
    organization(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_29,negated_conjecture,
    ~ greater(esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_10])]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11  % Problem  : MGT003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n019.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 09:33:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.015 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 31
% 0.22/1.40  # Proof object clause steps            : 20
% 0.22/1.40  # Proof object formula steps           : 11
% 0.22/1.40  # Proof object conjectures             : 14
% 0.22/1.40  # Proof object clause conjectures      : 11
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 12
% 0.22/1.40  # Proof object initial formulas used   : 5
% 0.22/1.40  # Proof object generating inferences   : 8
% 0.22/1.40  # Proof object simplifying inferences  : 14
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 5
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 12
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 12
% 0.22/1.40  # Processed clauses                    : 26
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 0
% 0.22/1.40  # ...remaining for further processing  : 26
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 0
% 0.22/1.40  # Backward-rewritten                   : 0
% 0.22/1.40  # Generated clauses                    : 20
% 0.22/1.40  # ...of the previous two non-trivial   : 14
% 0.22/1.40  # Contextual simplify-reflections      : 2
% 0.22/1.40  # Paramodulations                      : 20
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 26
% 0.22/1.40  #    Positive orientable unit clauses  : 8
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 1
% 0.22/1.40  #    Non-unit-clauses                  : 17
% 0.22/1.40  # Current number of unprocessed clauses: 0
% 0.22/1.40  # ...number of literals in the above   : 0
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 0
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 96
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 21
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 2
% 0.22/1.40  # Unit Clause-clause subsumption calls : 0
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 1
% 0.22/1.40  # BW rewrite match successes           : 0
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 1478
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.016 s
% 0.22/1.40  # System time              : 0.001 s
% 0.22/1.40  # Total time               : 0.017 s
% 0.22/1.40  # Maximum resident set size: 2776 pages
%------------------------------------------------------------------------------