TSTP Solution File: SWV400+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV400+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n027.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 : Wed Jul 20 18:20:51 EDT 2022

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   15 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   3   ~;   0   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   3 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l36_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( pair_in_list(create_slb,X2,X3)
        & less_than(X4,X3) )
     => pair_in_list(update_slb(create_slb,X4),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_co) ).

fof(ax28,axiom,
    ! [X1] : update_slb(create_slb,X1) = create_slb,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax28) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( pair_in_list(create_slb,X2,X3)
          & less_than(X4,X3) )
       => pair_in_list(update_slb(create_slb,X4),X2,X3) ),
    inference(assume_negation,[status(cth)],[l36_co]) ).

fof(c_0_3,negated_conjecture,
    ( pair_in_list(create_slb,esk1_0,esk2_0)
    & less_than(esk3_0,esk2_0)
    & ~ pair_in_list(update_slb(create_slb,esk3_0),esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,plain,
    ! [X44] : update_slb(create_slb,X44) = create_slb,
    inference(variable_rename,[status(thm)],[ax28]) ).

cnf(c_0_5,negated_conjecture,
    ~ pair_in_list(update_slb(create_slb,esk3_0),esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    update_slb(create_slb,X1) = create_slb,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    pair_in_list(create_slb,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV400+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 11:04:34 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  
% 0.13/0.38  # Proof found!
% 0.13/0.38  # SZS status Theorem
% 0.13/0.38  # SZS output start CNFRefutation
% See solution above
% 0.13/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------