TSTP Solution File: ALG028+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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 16:47:20 EDT 2022

% Result   : Theorem 0.13s 1.32s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   25 (  19 unt;   0 def)
%            Number of atoms       :  291 ( 284 equ)
%            Maximal formula atoms :   72 (  11 avg)
%            Number of connectives :  352 (  86   ~;  84   |; 182   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   75 (  12 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

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

fof(ax11,axiom,
    ( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
    & e1 = op(op(e4,e4),e4)
    & e2 = op(op(op(e4,e4),e4),e4)
    & e3 = op(e4,e4)
    & e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax11) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( op(e0,e0) = op(e0,e0)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e0,e5) = op(e5,e0)
        & op(e1,e0) = op(e0,e1)
        & op(e1,e1) = op(e1,e1)
        & op(e1,e2) = op(e2,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e5) = op(e5,e1)
        & op(e2,e0) = op(e0,e2)
        & op(e2,e1) = op(e1,e2)
        & op(e2,e2) = op(e2,e2)
        & op(e2,e3) = op(e3,e2)
        & op(e2,e4) = op(e4,e2)
        & op(e2,e5) = op(e5,e2)
        & op(e3,e0) = op(e0,e3)
        & op(e3,e1) = op(e1,e3)
        & op(e3,e2) = op(e2,e3)
        & op(e3,e3) = op(e3,e3)
        & op(e3,e4) = op(e4,e3)
        & op(e3,e5) = op(e5,e3)
        & op(e4,e0) = op(e0,e4)
        & op(e4,e1) = op(e1,e4)
        & op(e4,e2) = op(e2,e4)
        & op(e4,e3) = op(e3,e4)
        & op(e4,e4) = op(e4,e4)
        & op(e4,e5) = op(e5,e4)
        & op(e5,e0) = op(e0,e5)
        & op(e5,e1) = op(e1,e5)
        & op(e5,e2) = op(e2,e5)
        & op(e5,e3) = op(e3,e5)
        & op(e5,e4) = op(e4,e5)
        & op(e5,e5) = op(e5,e5)
        & ~ ( op(e0,e0) = op(e0,e0)
            & op(e0,e1) = op(e1,e0)
            & op(e0,e2) = op(e2,e0)
            & op(e0,e3) = op(e3,e0)
            & op(e0,e4) = op(e4,e0)
            & op(e0,e5) = op(e5,e0)
            & op(e1,e0) = op(e0,e1)
            & op(e1,e1) = op(e1,e1)
            & op(e1,e2) = op(e2,e1)
            & op(e1,e3) = op(e3,e1)
            & op(e1,e4) = op(e4,e1)
            & op(e1,e5) = op(e5,e1)
            & op(e2,e0) = op(e0,e2)
            & op(e2,e1) = op(e1,e2)
            & op(e2,e2) = op(e2,e2)
            & op(e2,e3) = op(e3,e2)
            & op(e2,e4) = op(e4,e2)
            & op(e2,e5) = op(e5,e2)
            & op(e3,e0) = op(e0,e3)
            & op(e3,e1) = op(e1,e3)
            & op(e3,e2) = op(e2,e3)
            & op(e3,e3) = op(e3,e3)
            & op(e3,e4) = op(e4,e3)
            & op(e3,e5) = op(e5,e3)
            & op(e4,e0) = op(e0,e4)
            & op(e4,e1) = op(e1,e4)
            & op(e4,e2) = op(e2,e4)
            & op(e4,e3) = op(e3,e4)
            & op(e4,e4) = op(e4,e4)
            & op(e4,e5) = op(e5,e4)
            & op(e5,e0) = op(e0,e5)
            & op(e5,e1) = op(e1,e5)
            & op(e5,e2) = op(e2,e5)
            & op(e5,e3) = op(e3,e5)
            & op(e5,e4) = op(e4,e5)
            & op(e5,e5) = op(e5,e5) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_3,negated_conjecture,
    ( op(e0,e0) = op(e0,e0)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e1,e0) = op(e0,e1)
    & op(e1,e1) = op(e1,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e5) = op(e5,e1)
    & op(e2,e0) = op(e0,e2)
    & op(e2,e1) = op(e1,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e5) = op(e5,e2)
    & op(e3,e0) = op(e0,e3)
    & op(e3,e1) = op(e1,e3)
    & op(e3,e2) = op(e2,e3)
    & op(e3,e3) = op(e3,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e5) = op(e5,e3)
    & op(e4,e0) = op(e0,e4)
    & op(e4,e1) = op(e1,e4)
    & op(e4,e2) = op(e2,e4)
    & op(e4,e3) = op(e3,e4)
    & op(e4,e4) = op(e4,e4)
    & op(e4,e5) = op(e5,e4)
    & op(e5,e0) = op(e0,e5)
    & op(e5,e1) = op(e1,e5)
    & op(e5,e2) = op(e2,e5)
    & op(e5,e3) = op(e3,e5)
    & op(e5,e4) = op(e4,e5)
    & op(e5,e5) = op(e5,e5)
    & ( op(e0,e0) != op(e0,e0)
      | op(e0,e1) != op(e1,e0)
      | op(e0,e2) != op(e2,e0)
      | op(e0,e3) != op(e3,e0)
      | op(e0,e4) != op(e4,e0)
      | op(e0,e5) != op(e5,e0)
      | op(e1,e0) != op(e0,e1)
      | op(e1,e1) != op(e1,e1)
      | op(e1,e2) != op(e2,e1)
      | op(e1,e3) != op(e3,e1)
      | op(e1,e4) != op(e4,e1)
      | op(e1,e5) != op(e5,e1)
      | op(e2,e0) != op(e0,e2)
      | op(e2,e1) != op(e1,e2)
      | op(e2,e2) != op(e2,e2)
      | op(e2,e3) != op(e3,e2)
      | op(e2,e4) != op(e4,e2)
      | op(e2,e5) != op(e5,e2)
      | op(e3,e0) != op(e0,e3)
      | op(e3,e1) != op(e1,e3)
      | op(e3,e2) != op(e2,e3)
      | op(e3,e3) != op(e3,e3)
      | op(e3,e4) != op(e4,e3)
      | op(e3,e5) != op(e5,e3)
      | op(e4,e0) != op(e0,e4)
      | op(e4,e1) != op(e1,e4)
      | op(e4,e2) != op(e2,e4)
      | op(e4,e3) != op(e3,e4)
      | op(e4,e4) != op(e4,e4)
      | op(e4,e5) != op(e5,e4)
      | op(e5,e0) != op(e0,e5)
      | op(e5,e1) != op(e1,e5)
      | op(e5,e2) != op(e2,e5)
      | op(e5,e3) != op(e3,e5)
      | op(e5,e4) != op(e4,e5)
      | op(e5,e5) != op(e5,e5) ) ),
    inference(fof_nnf,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( $false
    | op(e5,e4) != op(e4,e5)
    | op(e5,e3) != op(e3,e5)
    | op(e5,e2) != op(e2,e5)
    | op(e5,e1) != op(e1,e5)
    | op(e5,e0) != op(e0,e5)
    | op(e4,e5) != op(e5,e4)
    | $false
    | op(e4,e3) != op(e3,e4)
    | op(e4,e2) != op(e2,e4)
    | op(e4,e1) != op(e1,e4)
    | op(e4,e0) != op(e0,e4)
    | op(e3,e5) != op(e5,e3)
    | op(e3,e4) != op(e4,e3)
    | $false
    | op(e3,e2) != op(e2,e3)
    | op(e3,e1) != op(e1,e3)
    | op(e3,e0) != op(e0,e3)
    | op(e2,e5) != op(e5,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e2,e3) != op(e3,e2)
    | $false
    | op(e2,e1) != op(e1,e2)
    | op(e2,e0) != op(e0,e2)
    | op(e1,e5) != op(e5,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e1,e2) != op(e2,e1)
    | $false
    | op(e1,e0) != op(e0,e1)
    | op(e0,e5) != op(e5,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e1) != op(e1,e0)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    e1 = op(op(e4,e4),e4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_6,plain,
    e3 = op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_7,negated_conjecture,
    ( op(e1,e0) != op(e0,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | op(e3,e0) != op(e0,e3)
    | op(e3,e1) != op(e1,e3)
    | op(e3,e2) != op(e2,e3)
    | op(e4,e0) != op(e0,e4)
    | op(e4,e1) != op(e1,e4)
    | op(e4,e2) != op(e2,e4)
    | op(e4,e3) != op(e3,e4)
    | op(e5,e0) != op(e0,e5)
    | op(e5,e1) != op(e1,e5)
    | op(e5,e2) != op(e2,e5)
    | op(e5,e3) != op(e3,e5)
    | op(e5,e4) != op(e4,e5) ),
    inference(cn,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    op(e1,e0) = op(e0,e1),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    op(e2,e0) = op(e0,e2),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    op(e2,e1) = op(e1,e2),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    op(e3,e0) = op(e0,e3),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    op(e3,e1) = op(e1,e3),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,negated_conjecture,
    op(e3,e2) = op(e2,e3),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    op(e4,e0) = op(e0,e4),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,negated_conjecture,
    op(e4,e1) = op(e1,e4),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,negated_conjecture,
    op(e4,e2) = op(e2,e4),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_17,negated_conjecture,
    op(e4,e3) = op(e3,e4),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_18,plain,
    op(e3,e4) = e1,
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    op(e5,e0) = op(e0,e5),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_20,negated_conjecture,
    op(e5,e1) = op(e1,e5),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_21,negated_conjecture,
    op(e5,e2) = op(e2,e5),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_22,negated_conjecture,
    op(e5,e3) = op(e3,e5),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_23,negated_conjecture,
    op(e5,e4) = op(e4,e5),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.08  % Command  : run_ET %s %d
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Wed Jun  8 07:31:21 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.13/1.32  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.13/1.32  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.13/1.32  # Preprocessing time       : 0.021 s
% 0.13/1.32  
% 0.13/1.32  # Proof found!
% 0.13/1.32  # SZS status Theorem
% 0.13/1.32  # SZS output start CNFRefutation
% See solution above
% 0.13/1.32  # Proof object total steps             : 25
% 0.13/1.32  # Proof object clause steps            : 21
% 0.13/1.32  # Proof object formula steps           : 4
% 0.13/1.32  # Proof object conjectures             : 21
% 0.13/1.32  # Proof object clause conjectures      : 18
% 0.13/1.32  # Proof object formula conjectures     : 3
% 0.13/1.32  # Proof object initial clauses used    : 18
% 0.13/1.32  # Proof object initial formulas used   : 2
% 0.13/1.32  # Proof object generating inferences   : 0
% 0.13/1.32  # Proof object simplifying inferences  : 20
% 0.13/1.32  # Training examples: 0 positive, 0 negative
% 0.13/1.32  # Parsed axioms                        : 12
% 0.13/1.32  # Removed by relevancy pruning/SinE    : 6
% 0.13/1.32  # Initial clauses                      : 489
% 0.13/1.32  # Removed in clause preprocessing      : 6
% 0.13/1.32  # Initial clauses in saturation        : 483
% 0.13/1.32  # Processed clauses                    : 393
% 0.13/1.32  # ...of these trivial                  : 33
% 0.13/1.32  # ...subsumed                          : 85
% 0.13/1.32  # ...remaining for further processing  : 274
% 0.13/1.32  # Other redundant clauses eliminated   : 0
% 0.13/1.32  # Clauses deleted for lack of memory   : 0
% 0.13/1.32  # Backward-subsumed                    : 0
% 0.13/1.32  # Backward-rewritten                   : 32
% 0.13/1.32  # Generated clauses                    : 0
% 0.13/1.32  # ...of the previous two non-trivial   : 27
% 0.13/1.32  # Contextual simplify-reflections      : 0
% 0.13/1.32  # Paramodulations                      : 0
% 0.13/1.32  # Factorizations                       : 0
% 0.13/1.32  # Equation resolutions                 : 0
% 0.13/1.32  # Current number of processed clauses  : 242
% 0.13/1.32  #    Positive orientable unit clauses  : 146
% 0.13/1.32  #    Positive unorientable unit clauses: 0
% 0.13/1.32  #    Negative unit clauses             : 96
% 0.13/1.32  #    Non-unit-clauses                  : 0
% 0.13/1.32  # Current number of unprocessed clauses: 117
% 0.13/1.32  # ...number of literals in the above   : 297
% 0.13/1.32  # Current number of archived formulas  : 0
% 0.13/1.32  # Current number of archived clauses   : 32
% 0.13/1.32  # Clause-clause subsumption calls (NU) : 0
% 0.13/1.32  # Rec. Clause-clause subsumption calls : 0
% 0.13/1.32  # Non-unit clause-clause subsumptions  : 0
% 0.13/1.32  # Unit Clause-clause subsumption calls : 35
% 0.13/1.32  # Rewrite failures with RHS unbound    : 0
% 0.13/1.32  # BW rewrite match attempts            : 11
% 0.13/1.32  # BW rewrite match successes           : 11
% 0.13/1.32  # Condensation attempts                : 0
% 0.13/1.32  # Condensation successes               : 0
% 0.13/1.32  # Termbank termtop insertions          : 24523
% 0.13/1.32  
% 0.13/1.32  # -------------------------------------------------
% 0.13/1.32  # User time                : 0.024 s
% 0.13/1.32  # System time              : 0.002 s
% 0.13/1.32  # Total time               : 0.026 s
% 0.13/1.32  # Maximum resident set size: 4020 pages
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