TSTP Solution File: ALG199+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 : Thu Jul 14 16:50:16 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :  106 ( 105 equ)
%            Maximal formula atoms :   21 (   7 avg)
%            Number of connectives :  164 (  73   ~;  42   |;  49   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( op(e0,e0) != e0
      & op(e1,e1) != e1
      & op(e2,e2) != e2
      & op(e3,e3) != e3
      & op(e4,e4) != e4
      & op(e5,e5) != e5
      & op(e6,e6) != e6
      & ( op(e0,e0) = e0
        | op(e1,e1) = e1
        | op(e2,e2) = e2
        | op(e3,e3) = e3
        | op(e4,e4) = e4
        | op(e5,e5) = e5
        | op(e6,e6) = e6 )
      & ( op(e0,e0) != e0
        | op(e1,e1) != e1
        | op(e2,e2) != e2
        | op(e3,e3) != e3
        | op(e4,e4) != e4
        | op(e5,e5) != e5
        | op(e6,e6) != e6 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(ax6,axiom,
    ( e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))
    & e1 = op(e5,e5)
    & e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
    & e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
    & e4 = op(e5,op(e5,e5))
    & e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax6) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e0 != e5
    & e0 != e6
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax5) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ( op(e0,e0) != e0
        & op(e1,e1) != e1
        & op(e2,e2) != e2
        & op(e3,e3) != e3
        & op(e4,e4) != e4
        & op(e5,e5) != e5
        & op(e6,e6) != e6
        & ( op(e0,e0) = e0
          | op(e1,e1) = e1
          | op(e2,e2) = e2
          | op(e3,e3) = e3
          | op(e4,e4) = e4
          | op(e5,e5) = e5
          | op(e6,e6) = e6 )
        & ( op(e0,e0) != e0
          | op(e1,e1) != e1
          | op(e2,e2) != e2
          | op(e3,e3) != e3
          | op(e4,e4) != e4
          | op(e5,e5) != e5
          | op(e6,e6) != e6 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_4,negated_conjecture,
    ( op(e0,e0) != e0
    & op(e1,e1) != e1
    & op(e2,e2) != e2
    & op(e3,e3) != e3
    & op(e4,e4) != e4
    & op(e5,e5) != e5
    & op(e6,e6) != e6
    & ( op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2
      | op(e3,e3) = e3
      | op(e4,e4) = e4
      | op(e5,e5) = e5
      | op(e6,e6) = e6 )
    & ( op(e0,e0) != e0
      | op(e1,e1) != e1
      | op(e2,e2) != e2
      | op(e3,e3) != e3
      | op(e4,e4) != e4
      | op(e5,e5) != e5
      | op(e6,e6) != e6 ) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e5,e5) = e5
    | op(e4,e4) = e4
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e1,e1) = e1
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,plain,
    e1 = op(e5,e5),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_7,negated_conjecture,
    op(e0,e0) != e0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    op(e1,e1) != e1,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    op(e2,e2) != e2,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    op(e3,e3) != e3,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    op(e4,e4) != e4,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    e1 != e5,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_13,negated_conjecture,
    op(e6,e6) != e6,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n017.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 : Wed Jun  8 00:07:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.019 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 15
% 0.24/1.42  # Proof object clause steps            : 10
% 0.24/1.42  # Proof object formula steps           : 5
% 0.24/1.42  # Proof object conjectures             : 11
% 0.24/1.42  # Proof object clause conjectures      : 8
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 9
% 0.24/1.42  # Proof object initial formulas used   : 3
% 0.24/1.42  # Proof object generating inferences   : 0
% 0.24/1.42  # Proof object simplifying inferences  : 8
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 7
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 526
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 526
% 0.24/1.42  # Processed clauses                    : 64
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 1
% 0.24/1.42  # ...remaining for further processing  : 62
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 7
% 0.24/1.42  # ...of the previous two non-trivial   : 7
% 0.24/1.42  # Contextual simplify-reflections      : 0
% 0.24/1.42  # Paramodulations                      : 2
% 0.24/1.42  # Factorizations                       : 5
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 62
% 0.24/1.42  #    Positive orientable unit clauses  : 31
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 30
% 0.24/1.42  #    Non-unit-clauses                  : 1
% 0.24/1.42  # Current number of unprocessed clauses: 469
% 0.24/1.42  # ...number of literals in the above   : 1386
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 0
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.42  # Unit Clause-clause subsumption calls : 35
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 84
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 33061
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.017 s
% 0.24/1.42  # System time              : 0.003 s
% 0.24/1.42  # Total time               : 0.020 s
% 0.24/1.42  # Maximum resident set size: 3864 pages
%------------------------------------------------------------------------------