TSTP Solution File: MGT053+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 22:10:14 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   77 (  28   ~;  39   |;   6   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (   5 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(lemma_7,conjecture,
    ! [X1,X6,X7] :
      ( dissimilar(X1,X6,X7)
    <=> dissimilar(X1,X7,X6) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lemma_7) ).

fof(definition_2,axiom,
    ! [X1,X4,X5] :
      ( dissimilar(X1,X4,X5)
    <=> ( organization(X1)
        & ~ ( is_aligned(X1,X4)
          <=> is_aligned(X1,X5) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',definition_2) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X6,X7] :
        ( dissimilar(X1,X6,X7)
      <=> dissimilar(X1,X7,X6) ),
    inference(assume_negation,[status(cth)],[lemma_7]) ).

fof(c_0_3,plain,
    ! [X6,X7,X8,X6,X7,X8] :
      ( ( organization(X6)
        | ~ dissimilar(X6,X7,X8) )
      & ( ~ is_aligned(X6,X7)
        | ~ is_aligned(X6,X8)
        | ~ dissimilar(X6,X7,X8) )
      & ( is_aligned(X6,X7)
        | is_aligned(X6,X8)
        | ~ dissimilar(X6,X7,X8) )
      & ( ~ is_aligned(X6,X7)
        | is_aligned(X6,X8)
        | ~ organization(X6)
        | dissimilar(X6,X7,X8) )
      & ( ~ is_aligned(X6,X8)
        | is_aligned(X6,X7)
        | ~ organization(X6)
        | dissimilar(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])])]) ).

fof(c_0_4,negated_conjecture,
    ( ( ~ dissimilar(esk1_0,esk2_0,esk3_0)
      | ~ dissimilar(esk1_0,esk3_0,esk2_0) )
    & ( dissimilar(esk1_0,esk2_0,esk3_0)
      | dissimilar(esk1_0,esk3_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

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

cnf(c_0_6,negated_conjecture,
    ( dissimilar(esk1_0,esk3_0,esk2_0)
    | dissimilar(esk1_0,esk2_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,plain,
    ( dissimilar(X1,X2,X3)
    | is_aligned(X1,X3)
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ( is_aligned(esk1_0,esk2_0)
    | is_aligned(esk1_0,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    organization(esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( is_aligned(esk1_0,esk2_0)
    | is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,plain,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X3)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,plain,
    ( dissimilar(X1,X2,X3)
    | is_aligned(X1,X2)
    | ~ organization(X1)
    | ~ is_aligned(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ( is_aligned(esk1_0,esk2_0)
    | dissimilar(esk1_0,esk3_0,esk2_0) ),
    inference(ef,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ is_aligned(esk1_0,esk2_0)
    | ~ is_aligned(esk1_0,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_6]),c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk3_0,esk2_0)
    | dissimilar(esk1_0,X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_10])]) ).

cnf(c_0_17,negated_conjecture,
    ( is_aligned(esk1_0,esk2_0)
    | is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,X1,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_9]),c_0_10])]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ dissimilar(esk1_0,esk3_0,esk2_0)
    | ~ dissimilar(esk1_0,esk2_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,negated_conjecture,
    dissimilar(esk1_0,esk3_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ( is_aligned(esk1_0,esk2_0)
    | dissimilar(esk1_0,esk2_0,esk3_0) ),
    inference(ef,[status(thm)],[c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ~ dissimilar(esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_22,negated_conjecture,
    is_aligned(esk1_0,esk2_0),
    inference(sr,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    ( is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk2_0,esk3_0)
    | dissimilar(esk1_0,esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_20]),c_0_10])]) ).

cnf(c_0_24,negated_conjecture,
    ~ is_aligned(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_22])]) ).

cnf(c_0_25,negated_conjecture,
    ( is_aligned(esk1_0,X1)
    | dissimilar(esk1_0,esk2_0,X1) ),
    inference(sr,[status(thm)],[c_0_23,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.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 09:22:38 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       : 0.013 s
% 0.22/1.40  
% 0.22/1.40  # Failure: Out of unprocessed clauses!
% 0.22/1.40  # OLD status GaveUp
% 0.22/1.40  # Parsed axioms                        : 8
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 7
% 0.22/1.40  # Initial clauses                      : 2
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 2
% 0.22/1.40  # Processed clauses                    : 2
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 0
% 0.22/1.40  # ...remaining for further processing  : 2
% 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                    : 1
% 0.22/1.40  # ...of the previous two non-trivial   : 0
% 0.22/1.40  # Contextual simplify-reflections      : 0
% 0.22/1.40  # Paramodulations                      : 1
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 2
% 0.22/1.40  #    Positive orientable unit clauses  : 0
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 0
% 0.22/1.40  #    Non-unit-clauses                  : 2
% 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) : 0
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 0
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 0
% 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            : 0
% 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          : 220
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.012 s
% 0.22/1.40  # System time              : 0.001 s
% 0.22/1.40  # Total time               : 0.013 s
% 0.22/1.40  # Maximum resident set size: 2808 pages
% 0.22/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 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             : 27
% 0.22/1.40  # Proof object clause steps            : 22
% 0.22/1.40  # Proof object formula steps           : 5
% 0.22/1.40  # Proof object conjectures             : 20
% 0.22/1.40  # Proof object clause conjectures      : 17
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 7
% 0.22/1.40  # Proof object initial formulas used   : 2
% 0.22/1.40  # Proof object generating inferences   : 11
% 0.22/1.40  # Proof object simplifying inferences  : 19
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 8
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 18
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 18
% 0.22/1.40  # Processed clauses                    : 41
% 0.22/1.40  # ...of these trivial                  : 1
% 0.22/1.40  # ...subsumed                          : 4
% 0.22/1.40  # ...remaining for further processing  : 36
% 0.22/1.40  # Other redundant clauses eliminated   : 2
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 3
% 0.22/1.40  # Backward-rewritten                   : 6
% 0.22/1.40  # Generated clauses                    : 56
% 0.22/1.40  # ...of the previous two non-trivial   : 45
% 0.22/1.40  # Contextual simplify-reflections      : 5
% 0.22/1.40  # Paramodulations                      : 46
% 0.22/1.40  # Factorizations                       : 6
% 0.22/1.40  # Equation resolutions                 : 2
% 0.22/1.40  # Current number of processed clauses  : 23
% 0.22/1.40  #    Positive orientable unit clauses  : 5
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 2
% 0.22/1.40  #    Non-unit-clauses                  : 16
% 0.22/1.40  # Current number of unprocessed clauses: 6
% 0.22/1.40  # ...number of literals in the above   : 18
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 11
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 92
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 76
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 8
% 0.22/1.40  # Unit Clause-clause subsumption calls : 22
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 5
% 0.22/1.40  # BW rewrite match successes           : 2
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 1569
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.015 s
% 0.22/1.40  # System time              : 0.002 s
% 0.22/1.40  # Total time               : 0.017 s
% 0.22/1.40  # Maximum resident set size: 2812 pages
%------------------------------------------------------------------------------