TSTP Solution File: HWV089+1 by Etableau---0.67

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% 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 : Sat Jul 16 14:14:01 EDT 2022

% Result   : Theorem 1.08s 1.24s
% Output   : CNFRefutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (   8 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  102 (  41   ~;  34   |;  16   &)
%                                         (   9 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   33 (   3 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(writeBinaryOperatorShiftedRanges_553,axiom,
    ! [X2] :
      ( v3680(X2)
    <=> ( v3682(X2)
        & v3684(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_553) ).

fof(addZeroExtensionConstraint_5,axiom,
    ! [X2] : ~ v3684(X2,bitIndex5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_5) ).

fof(addAssertion,conjecture,
    ! [X2] :
      ( reachableState(X2)
     => v4(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).

fof(addAssignment_2619,axiom,
    ! [X2] :
      ( v3679(X2,bitIndex0)
    <=> v3680(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_2619) ).

fof(writeBinaryOperatorShiftedRanges_555,axiom,
    ! [X2] :
      ( v3693(X2)
    <=> ( v3679(X2,bitIndex0)
        | v3679(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_555) ).

fof(writeBinaryOperatorEqualRangesSingleBits_740,axiom,
    ! [X2] :
      ( v3675(X2)
    <=> ( v3677(X2)
        & v3693(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_740) ).

fof(writeBinaryOperatorShiftedRanges_554,axiom,
    ! [X2] :
      ( v3678(X2)
    <=> ( v3679(X2,bitIndex0)
        & v3679(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_554) ).

fof(writeUnaryOperator_345,axiom,
    ! [X2] :
      ( ~ v3677(X2)
    <=> v3678(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_345) ).

fof(writeUnaryOperator_347,axiom,
    ! [X2] :
      ( ~ v4(X2)
    <=> v3674(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_347) ).

fof(writeUnaryOperator_346,axiom,
    ! [X2] :
      ( ~ v3674(X2)
    <=> v3675(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_346) ).

fof(addAssignment_2618,axiom,
    ! [X2] :
      ( v3679(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_2618) ).

fof(c_0_11,plain,
    ! [X128] :
      ( ( v3682(X128)
        | ~ v3680(X128) )
      & ( v3684(X128,bitIndex5)
        | ~ v3680(X128) )
      & ( ~ v3682(X128)
        | ~ v3684(X128,bitIndex5)
        | v3680(X128) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_553])])]) ).

fof(c_0_12,plain,
    ! [X141] : ~ v3684(X141,bitIndex5),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_5])]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X2] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

fof(c_0_14,plain,
    ! [X126] :
      ( ( ~ v3679(X126,bitIndex0)
        | v3680(X126) )
      & ( ~ v3680(X126)
        | v3679(X126,bitIndex0) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_2619])]) ).

fof(c_0_15,plain,
    ! [X123] :
      ( ( ~ v3693(X123)
        | v3679(X123,bitIndex0)
        | v3679(X123,bitIndex1) )
      & ( ~ v3679(X123,bitIndex0)
        | v3693(X123) )
      & ( ~ v3679(X123,bitIndex1)
        | v3693(X123) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_555])])]) ).

fof(c_0_16,plain,
    ! [X122] :
      ( ( v3677(X122)
        | ~ v3675(X122) )
      & ( v3693(X122)
        | ~ v3675(X122) )
      & ( ~ v3677(X122)
        | ~ v3693(X122)
        | v3675(X122) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorEqualRangesSingleBits_740])])]) ).

fof(c_0_17,plain,
    ! [X125] :
      ( ( v3679(X125,bitIndex0)
        | ~ v3678(X125) )
      & ( v3679(X125,bitIndex1)
        | ~ v3678(X125) )
      & ( ~ v3679(X125,bitIndex0)
        | ~ v3679(X125,bitIndex1)
        | v3678(X125) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_554])])]) ).

fof(c_0_18,plain,
    ! [X124] :
      ( ( v3677(X124)
        | v3678(X124) )
      & ( ~ v3678(X124)
        | ~ v3677(X124) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[writeUnaryOperator_345])])]) ).

fof(c_0_19,plain,
    ! [X120] :
      ( ( v4(X120)
        | v3674(X120) )
      & ( ~ v3674(X120)
        | ~ v4(X120) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[writeUnaryOperator_347])])]) ).

fof(c_0_20,plain,
    ! [X121] :
      ( ( v3674(X121)
        | v3675(X121) )
      & ( ~ v3675(X121)
        | ~ v3674(X121) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[writeUnaryOperator_346])])]) ).

cnf(c_0_21,plain,
    ( v3684(X1,bitIndex5)
    | ~ v3680(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,plain,
    ~ v3684(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_23,negated_conjecture,
    ( reachableState(esk1_0)
    & ~ v4(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_24,plain,
    ! [X127] : v3679(X127,bitIndex1),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[addAssignment_2618])]) ).

cnf(c_0_25,plain,
    ( v3680(X1)
    | ~ v3679(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( v3693(X1)
    | ~ v3679(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_27,plain,
    ( v3675(X1)
    | ~ v3677(X1)
    | ~ v3693(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,plain,
    ( v3679(X1,bitIndex0)
    | ~ v3678(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_29,plain,
    ( v3677(X1)
    | v3678(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_30,plain,
    ( v4(X1)
    | v3674(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,plain,
    ( ~ v3675(X1)
    | ~ v3674(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_32,plain,
    ~ v3680(X1),
    inference(sr,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_33,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,plain,
    v3679(X1,bitIndex1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_25,c_0_26,c_0_27,c_0_28,c_0_29,c_0_30,c_0_31,c_0_32,c_0_33,c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% 0.14/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 22:29:51 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 1.08/1.24  # No SInE strategy applied
% 1.08/1.24  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.08/1.24  # and selection function SelectComplexExceptUniqMaxHorn.
% 1.08/1.24  #
% 1.08/1.24  # SatCheck found unsatisfiable ground set
% 1.08/1.24  # Presaturation interreduction done
% 1.08/1.24  
% 1.08/1.24  # Proof found!
% 1.08/1.24  # SZS status Theorem
% 1.08/1.24  # SZS output start CNFRefutation
% See solution above
% 1.08/1.24  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------