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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : HWV094+1 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:33:23 AM UTC 2026

% Result   : Theorem 43.22s 37.95s
% Output   : CNFRefutation 43.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  20   ~;  11   |;   3   &)
%                                         (   9 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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   :   30 (   9 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(writeUnaryOperator_11138,axiom,
    ! [X0] :
      ( ~ v4(X0)
    <=> v133774(X0) ) ).

fof(writeUnaryOperator_11137,axiom,
    ! [X0] :
      ( ~ v133774(X0)
    <=> v133775(X0) ) ).

fof(writeBinaryOperatorEqualRangesSingleBits_26827,axiom,
    ! [X0] :
      ( v133775(X0)
    <=> ( v133789(X0)
        & v133777(X0) ) ) ).

fof(writeBinaryOperatorShiftedRanges_3137,axiom,
    ! [X0] :
      ( v133789(X0)
    <=> ( v133779(X0,bitIndex1)
        | v133779(X0,bitIndex0) ) ) ).

fof(writeUnaryOperator_11136,axiom,
    ! [X0] :
      ( ~ v133777(X0)
    <=> v133778(X0) ) ).

fof(writeBinaryOperatorShiftedRanges_3136,axiom,
    ! [X0] :
      ( v133778(X0)
    <=> ( v133779(X0,bitIndex1)
        & v133779(X0,bitIndex0) ) ) ).

fof(addAssignment_43639,axiom,
    ! [X0] :
      ( v133779(X0,bitIndex0)
    <=> v133780(X0) ) ).

fof(addAssignment_43638,axiom,
    ! [X0] :
      ( v133779(X0,bitIndex1)
    <=> $true ) ).

fof(writeBinaryOperatorShiftedRanges_3135,axiom,
    ! [X0] :
      ( v133780(X0)
    <=> ( v133786(X0,bitIndex5)
        & v133782(X0) ) ) ).

fof(addZeroExtensionConstraint_15,axiom,
    ! [X0] : ~ v133786(X0,bitIndex5) ).

fof(addAssertion,conjecture,
    ! [X0] :
      ( reachableState(X0)
     => v4(X0) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( reachableState(X0)
       => v4(X0) ),
    inference(negate_conjecture,[status(cth)],[addAssertion]) ).

cnf(c33,plain,
    ( v133774(X0)
    | v4(X0) ),
    inference(clausification,[status(esa)],[writeUnaryOperator_11138]) ).

cnf(c36,plain,
    ( ~ v133775(X0)
    | ~ v133774(X0) ),
    inference(clausification,[status(esa)],[writeUnaryOperator_11137]) ).

cnf(c39,plain,
    ( ~ v133777(X0)
    | ~ v133789(X0)
    | v133775(X0) ),
    inference(clausification,[status(esa)],[writeBinaryOperatorEqualRangesSingleBits_26827]) ).

cnf(c42,plain,
    ( ~ v133779(X0,bitIndex1)
    | v133789(X0) ),
    inference(clausification,[status(esa)],[writeBinaryOperatorShiftedRanges_3137]) ).

cnf(c43,plain,
    ( v133778(X0)
    | v133777(X0) ),
    inference(clausification,[status(esa)],[writeUnaryOperator_11136]) ).

cnf(c45,plain,
    ( v133779(X0,bitIndex0)
    | ~ v133778(X0) ),
    inference(clausification,[status(esa)],[writeBinaryOperatorShiftedRanges_3136]) ).

cnf(c48,plain,
    ( v133780(X0)
    | ~ v133779(X0,bitIndex0) ),
    inference(clausification,[status(esa)],[addAssignment_43639]) ).

cnf(c50,plain,
    v133779(X0,bitIndex1),
    inference(clausification,[status(esa)],[addAssignment_43638]) ).

cnf(c52,plain,
    ( v133786(X0,bitIndex5)
    | ~ v133780(X0) ),
    inference(clausification,[status(esa)],[writeBinaryOperatorShiftedRanges_3135]) ).

cnf(c72,plain,
    ~ v133786(X0,bitIndex5),
    inference(clausification,[status(esa)],[addZeroExtensionConstraint_15]) ).

cnf(c89,plain,
    ~ v4(sK26),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    v133774(sK26),
    inference(resolution,[status(thm)],[c33,c89]) ).

cnf(d1,plain,
    v133789(X0),
    inference(resolution,[status(thm)],[c50,c42]) ).

cnf(d2,plain,
    ( ~ v133777(X0)
    | v133775(X0) ),
    inference(resolution,[status(thm)],[d1,c39]) ).

cnf(d3,plain,
    ~ v133780(X0),
    inference(resolution,[status(thm)],[c72,c52]) ).

cnf(d4,plain,
    ~ v133779(X0,bitIndex0),
    inference(resolution,[status(thm)],[d3,c48]) ).

cnf(d5,plain,
    ~ v133778(X0),
    inference(resolution,[status(thm)],[d4,c45]) ).

cnf(d6,plain,
    v133777(X0),
    inference(resolution,[status(thm)],[d5,c43]) ).

cnf(d7,plain,
    v133775(X0),
    inference(resolution,[status(thm)],[d6,d2]) ).

cnf(d8,plain,
    ~ v133774(X0),
    inference(resolution,[status(thm)],[d7,c36]) ).

cnf(d9,plain,
    $false,
    inference(resolution,[status(thm)],[d8,d0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV094+1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.09  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41  % Computer : n008.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Fri Sep 25 16:38:40 UTC 2026
% 0.16/0.41  % CPUTime  : 
% 0.16/0.41  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/37.95  % SZS status Theorem for theBenchmark.p
% 43.22/37.95  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------