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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : MGT003+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 08:00:57 AM UTC 2026

% Result   : Theorem 11.08s 6.88s
% Output   : CNFRefutation 11.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   37 (  11 unt;   0 def)
%            Number of atoms       :  145 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  197 (  89   ~;  78   |;  24   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   84 (   2 sgn  28   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mp4,axiom,
    ! [X0,X1,X2] :
      ( 'reorganization$ufree'(X0,X1,X2)
     => ( 'reorganization$ufree'(X0,X2,X2)
        & 'reorganization$ufree'(X0,X1,X1) ) ) ).

fof(mp5,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : inertia(X0,X2,X1) ) ).

fof(t1_FOL,hypothesis,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( greater(X5,X4)
        & 'survival$uchance'(X1,X7,X3)
        & 'survival$uchance'(X0,X6,X2)
        & inertia(X1,X5,X3)
        & inertia(X0,X4,X2)
        & 'reorganization$ufree'(X1,X3,X3)
        & 'reorganization$ufree'(X0,X2,X2)
        & organization(X1,X3)
        & organization(X0,X2) )
     => greater(X7,X6) ) ).

fof(t2_FOL,hypothesis,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & inertia(X0,X2,X4)
        & inertia(X0,X1,X3)
        & 'reorganization$ufree'(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => greater(X2,X1) ) ).

fof(t3_FOL,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & 'survival$uchance'(X0,X2,X4)
        & 'survival$uchance'(X0,X1,X3)
        & 'reorganization$ufree'(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => greater(X2,X1) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( greater(X4,X3)
          & 'survival$uchance'(X0,X2,X4)
          & 'survival$uchance'(X0,X1,X3)
          & 'reorganization$ufree'(X0,X3,X4)
          & organization(X0,X4)
          & organization(X0,X3) )
       => greater(X2,X1) ),
    inference(negate_conjecture,[status(cth)],[t3_FOL]) ).

cnf(c0,plain,
    ( 'reorganization$ufree'(X0,X1,X1)
    | ~ 'reorganization$ufree'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[mp4]) ).

cnf(c1,plain,
    ( 'reorganization$ufree'(X0,X2,X2)
    | ~ 'reorganization$ufree'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[mp4]) ).

cnf(c2,plain,
    ( inertia(X0,sK5(X0,X1),X1)
    | ~ organization(X0,X1) ),
    inference(clausification,[status(esa)],[mp5]) ).

cnf(c3,plain,
    ( greater(X6,X7)
    | ~ 'reorganization$ufree'(X0,X1,X1)
    | ~ 'survival$uchance'(X4,X7,X5)
    | ~ 'survival$uchance'(X0,X6,X1)
    | ~ organization(X4,X5)
    | ~ 'reorganization$ufree'(X4,X5,X5)
    | ~ inertia(X0,X2,X1)
    | ~ inertia(X4,X3,X5)
    | ~ greater(X2,X3)
    | ~ organization(X0,X1) ),
    inference(clausification,[status(esa)],[t1_FOL]) ).

cnf(c4,plain,
    ( ~ organization(X0,X3)
    | ~ organization(X0,X2)
    | ~ inertia(X0,X4,X3)
    | greater(X1,X4)
    | ~ greater(X2,X3)
    | ~ 'reorganization$ufree'(X0,X3,X2)
    | ~ inertia(X0,X1,X2) ),
    inference(clausification,[status(esa)],[t2_FOL]) ).

cnf(c5,plain,
    organization(sK19,sK22),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c6,plain,
    organization(sK19,sK23),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c7,plain,
    'reorganization$ufree'(sK19,sK22,sK23),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c8,plain,
    'survival$uchance'(sK19,sK20,sK22),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c9,plain,
    'survival$uchance'(sK19,sK21,sK23),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c10,plain,
    greater(sK23,sK22),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c11,plain,
    ~ greater(sK21,sK20),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ organization(X0,X1)
    | ~ greater(X2,X1)
    | greater(X3,sK5(X0,X1))
    | ~ inertia(X0,X3,X2)
    | ~ organization(X0,X1)
    | ~ organization(X0,X2)
    | ~ 'reorganization$ufree'(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c4,c2]) ).

cnf(d1,plain,
    ( ~ organization(X0,X2)
    | ~ greater(X2,X1)
    | greater(sK5(X0,X2),sK5(X0,X1))
    | ~ organization(X0,X1)
    | ~ organization(X0,X2)
    | ~ 'reorganization$ufree'(X0,X1,X2) ),
    inference(resolution,[status(thm)],[d0,c2]) ).

cnf(d2,plain,
    ( ~ 'survival$uchance'(X0,X4,X1)
    | ~ greater(X2,X3)
    | greater(X4,sK20)
    | ~ inertia(sK19,X3,sK22)
    | ~ inertia(X0,X2,X1)
    | ~ organization(sK19,sK22)
    | ~ organization(X0,X1)
    | ~ 'reorganization$ufree'(sK19,sK22,sK22)
    | ~ 'reorganization$ufree'(X0,X1,X1) ),
    inference(resolution,[status(thm)],[c8,c3]) ).

cnf(d3,plain,
    ( ~ 'survival$uchance'(X0,X4,X1)
    | ~ greater(X2,X3)
    | greater(X4,sK20)
    | ~ inertia(sK19,X3,sK22)
    | ~ inertia(X0,X2,X1)
    | ~ organization(X0,X1)
    | ~ 'reorganization$ufree'(sK19,sK22,sK22)
    | ~ 'reorganization$ufree'(X0,X1,X1) ),
    inference(resolution,[status(thm)],[c5,d2]) ).

cnf(d4,plain,
    'reorganization$ufree'(sK19,sK22,sK22),
    inference(resolution,[status(thm)],[c7,c0]) ).

cnf(d5,plain,
    ( ~ 'survival$uchance'(X0,X4,X1)
    | ~ greater(X2,X3)
    | greater(X4,sK20)
    | ~ inertia(sK19,X3,sK22)
    | ~ inertia(X0,X2,X1)
    | ~ organization(X0,X1)
    | ~ 'reorganization$ufree'(X0,X1,X1) ),
    inference(resolution,[status(thm)],[d4,d3]) ).

cnf(d6,plain,
    ( ~ greater(X0,X1)
    | greater(sK21,sK20)
    | ~ inertia(sK19,X1,sK22)
    | ~ inertia(sK19,X0,sK23)
    | ~ organization(sK19,sK23)
    | ~ 'reorganization$ufree'(sK19,sK23,sK23) ),
    inference(resolution,[status(thm)],[d5,c9]) ).

cnf(d7,plain,
    ( greater(sK21,sK20)
    | ~ greater(X1,X0)
    | ~ inertia(sK19,X1,sK23)
    | ~ inertia(sK19,X0,sK22)
    | ~ 'reorganization$ufree'(sK19,sK23,sK23) ),
    inference(resolution,[status(thm)],[c6,d6]) ).

cnf(d8,plain,
    ( ~ greater(X0,X1)
    | ~ inertia(sK19,X1,sK22)
    | ~ inertia(sK19,X0,sK23)
    | ~ 'reorganization$ufree'(sK19,sK23,sK23) ),
    inference(resolution,[status(thm)],[c11,d7]) ).

cnf(d9,plain,
    'reorganization$ufree'(sK19,sK23,sK23),
    inference(resolution,[status(thm)],[c7,c1]) ).

cnf(d10,plain,
    ( ~ greater(X1,X0)
    | ~ inertia(sK19,X1,sK23)
    | ~ inertia(sK19,X0,sK22) ),
    inference(resolution,[status(thm)],[d9,d8]) ).

cnf(d11,plain,
    ( ~ organization(sK19,sK22)
    | ~ greater(X0,sK5(sK19,sK22))
    | ~ inertia(sK19,X0,sK23) ),
    inference(resolution,[status(thm)],[d10,c2]) ).

cnf(d12,plain,
    ( ~ greater(X0,sK5(sK19,sK22))
    | ~ inertia(sK19,X0,sK23) ),
    inference(resolution,[status(thm)],[c5,d11]) ).

cnf(d13,plain,
    ( ~ greater(X0,sK22)
    | ~ organization(sK19,sK22)
    | ~ organization(sK19,X0)
    | ~ 'reorganization$ufree'(sK19,sK22,X0)
    | ~ inertia(sK19,sK5(sK19,X0),sK23) ),
    inference(resolution,[status(thm)],[d12,d1]) ).

cnf(d14,plain,
    ( ~ greater(X0,sK22)
    | ~ inertia(sK19,sK5(sK19,X0),sK23)
    | ~ organization(sK19,X0)
    | ~ 'reorganization$ufree'(sK19,sK22,X0) ),
    inference(resolution,[status(thm)],[c5,d13]) ).

cnf(d15,plain,
    ( ~ organization(sK19,sK23)
    | ~ greater(sK23,sK22)
    | ~ organization(sK19,sK23)
    | ~ 'reorganization$ufree'(sK19,sK22,sK23) ),
    inference(resolution,[status(thm)],[d14,c2]) ).

cnf(d16,plain,
    ( ~ greater(sK23,sK22)
    | ~ 'reorganization$ufree'(sK19,sK22,sK23) ),
    inference(resolution,[status(thm)],[c6,d15]) ).

cnf(d17,plain,
    ~ 'reorganization$ufree'(sK19,sK22,sK23),
    inference(resolution,[status(thm)],[c10,d16]) ).

cnf(d18,plain,
    $false,
    inference(resolution,[status(thm)],[c7,d17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT003+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38  % Computer : n007.cluster.edu
% 0.09/5.38  % Model    : x86_64 x86_64
% 0.09/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38  % Memory   : 8046.5625MB
% 0.09/5.38  % OS       : Linux 6.8.0-71-generic
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Sat Sep 26 00:00:29 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.08/6.88  % SZS status Theorem for theBenchmark.p
% 11.08/6.88  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------