TSTP Solution File: ALG194+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n023.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 16:51:55 EDT 2022

% Result   : Theorem 0.18s 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   20 (   3 unt;   0 def)
%            Number of atoms       :  209 ( 208 equ)
%            Maximal formula atoms :  112 (  10 avg)
%            Number of connectives :  294 ( 105   ~; 113   |;  76   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   7 avg)
%            Maximal term depth    :    2 (   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 )
      & ( 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/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,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 )
        & ( 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_2,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(e0,e0) != e0 )
    & ( op(e1,e1) = e1
      | op(e0,e0) != e0 )
    & ( op(e2,e2) = e2
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) != e0 )
    & ( op(e4,e4) = e4
      | op(e0,e0) != e0 )
    & ( op(e5,e5) = e5
      | op(e0,e0) != e0 )
    & ( op(e6,e6) = e6
      | op(e0,e0) != e0 )
    & ( op(e0,e0) = e0
      | op(e1,e1) != e1 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e1 )
    & ( op(e2,e2) = e2
      | op(e1,e1) != e1 )
    & ( op(e3,e3) = e3
      | op(e1,e1) != e1 )
    & ( op(e4,e4) = e4
      | op(e1,e1) != e1 )
    & ( op(e5,e5) = e5
      | op(e1,e1) != e1 )
    & ( op(e6,e6) = e6
      | op(e1,e1) != e1 )
    & ( op(e0,e0) = e0
      | op(e2,e2) != e2 )
    & ( op(e1,e1) = e1
      | op(e2,e2) != e2 )
    & ( op(e2,e2) = e2
      | op(e2,e2) != e2 )
    & ( op(e3,e3) = e3
      | op(e2,e2) != e2 )
    & ( op(e4,e4) = e4
      | op(e2,e2) != e2 )
    & ( op(e5,e5) = e5
      | op(e2,e2) != e2 )
    & ( op(e6,e6) = e6
      | op(e2,e2) != e2 )
    & ( op(e0,e0) = e0
      | op(e3,e3) != e3 )
    & ( op(e1,e1) = e1
      | op(e3,e3) != e3 )
    & ( op(e2,e2) = e2
      | op(e3,e3) != e3 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e3 )
    & ( op(e4,e4) = e4
      | op(e3,e3) != e3 )
    & ( op(e5,e5) = e5
      | op(e3,e3) != e3 )
    & ( op(e6,e6) = e6
      | op(e3,e3) != e3 )
    & ( op(e0,e0) = e0
      | op(e4,e4) != e4 )
    & ( op(e1,e1) = e1
      | op(e4,e4) != e4 )
    & ( op(e2,e2) = e2
      | op(e4,e4) != e4 )
    & ( op(e3,e3) = e3
      | op(e4,e4) != e4 )
    & ( op(e4,e4) = e4
      | op(e4,e4) != e4 )
    & ( op(e5,e5) = e5
      | op(e4,e4) != e4 )
    & ( op(e6,e6) = e6
      | op(e4,e4) != e4 )
    & ( op(e0,e0) = e0
      | op(e5,e5) != e5 )
    & ( op(e1,e1) = e1
      | op(e5,e5) != e5 )
    & ( op(e2,e2) = e2
      | op(e5,e5) != e5 )
    & ( op(e3,e3) = e3
      | op(e5,e5) != e5 )
    & ( op(e4,e4) = e4
      | op(e5,e5) != e5 )
    & ( op(e5,e5) = e5
      | op(e5,e5) != e5 )
    & ( op(e6,e6) = e6
      | op(e5,e5) != e5 )
    & ( op(e0,e0) = e0
      | op(e6,e6) != e6 )
    & ( op(e1,e1) = e1
      | op(e6,e6) != e6 )
    & ( op(e2,e2) = e2
      | op(e6,e6) != e6 )
    & ( op(e3,e3) = e3
      | op(e6,e6) != e6 )
    & ( op(e4,e4) = e4
      | op(e6,e6) != e6 )
    & ( op(e5,e5) = e5
      | op(e6,e6) != e6 )
    & ( op(e6,e6) = e6
      | op(e6,e6) != e6 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).

cnf(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 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( op(e5,e5) = e5
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( op(e4,e4) = e4
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( op(e3,e3) = e3
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ( op(e2,e2) = e2
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,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 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    op(e0,e0) != e0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]),c_0_7]),c_0_8]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e6,e6) != e6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e5,e5) != e5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e4,e4) != e4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    op(e1,e1) = e1,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.32  % Computer : n023.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Wed Jun  8 03:53:38 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.37  # No SInE strategy applied
% 0.18/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.37  #
% 0.18/0.37  # Presaturation interreduction done
% 0.18/0.37  
% 0.18/0.37  # Proof found!
% 0.18/0.37  # SZS status Theorem
% 0.18/0.37  # SZS output start CNFRefutation
% See solution above
% 0.18/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------