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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : MGT014+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 : n017.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 08:01:00 AM UTC 2026

% Result   : Theorem 11.34s 2.05s
% Output   : CNFRefutation 11.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   52 (  20 unt;   0 def)
%            Number of atoms       :  159 (  16 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  191 (  84   ~;  69   |;  30   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   77 (   1 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mp6_1,axiom,
    ! [X0,X1] :
      ~ ( X0 = X1
        & greater(X0,X1) ) ).

fof(mp15,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => time(X1) ) ).

fof(mp16,axiom,
    ! [X0,X1] :
      ( ( time(X1)
        & time(X0) )
     => ( greater(X1,X0)
        | X0 = X1
        | greater(X0,X1) ) ) ).

fof(mp17,axiom,
    ! [X0,X1,X2] :
      ( 'reorganization$ufree'(X0,X1,X2)
     => 'reorganization$ufree'(X0,X2,X1) ) ).

fof(mp19,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( X3 = X4
        & size(X0,X2,X4)
        & size(X0,X1,X3)
        & organization(X0,X4)
        & organization(X0,X3) )
     => X1 = X2 ) ).

fof(t11_FOL,hypothesis,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & size(X0,X2,X4)
        & size(X0,X1,X3)
        & 'reorganization$ufree'(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => ~ greater(X1,X2) ) ).

fof(t12_FOL,hypothesis,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & complexity(X0,X2,X4)
        & complexity(X0,X1,X3)
        & 'reorganization$ufree'(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => ~ greater(X1,X2) ) ).

fof(t14_FOL,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( greater(X4,X3)
        & size(X0,X4,X6)
        & size(X0,X3,X5)
        & complexity(X0,X2,X6)
        & complexity(X0,X1,X5)
        & 'reorganization$ufree'(X0,X5,X6)
        & organization(X0,X6)
        & organization(X0,X5) )
     => ~ greater(X1,X2) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( greater(X4,X3)
          & size(X0,X4,X6)
          & size(X0,X3,X5)
          & complexity(X0,X2,X6)
          & complexity(X0,X1,X5)
          & 'reorganization$ufree'(X0,X5,X6)
          & organization(X0,X6)
          & organization(X0,X5) )
       => ~ greater(X1,X2) ),
    inference(negate_conjecture,[status(cth)],[t14_FOL]) ).

cnf(c0,plain,
    ( X0 != X1
    | ~ greater(X0,X1) ),
    inference(clausification,[status(esa)],[mp6_1]) ).

cnf(c2,plain,
    ( time(X1)
    | ~ organization(X0,X1) ),
    inference(clausification,[status(esa)],[mp15]) ).

cnf(c3,plain,
    ( ~ time(X1)
    | greater(X1,X0)
    | X1 = X0
    | greater(X0,X1)
    | ~ time(X0) ),
    inference(clausification,[status(esa)],[mp16]) ).

cnf(c4,plain,
    ( 'reorganization$ufree'(X0,X2,X1)
    | ~ 'reorganization$ufree'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[mp17]) ).

cnf(c5,plain,
    ( ~ organization(X2,X0)
    | X4 = X3
    | ~ size(X2,X4,X0)
    | ~ size(X2,X3,X1)
    | ~ organization(X2,X1)
    | X0 != X1 ),
    inference(clausification,[status(esa)],[mp19]) ).

cnf(c6,plain,
    ( ~ size(X2,X3,X1)
    | ~ size(X2,X4,X0)
    | ~ greater(X3,X4)
    | ~ organization(X2,X0)
    | ~ 'reorganization$ufree'(X2,X1,X0)
    | ~ organization(X2,X1)
    | ~ greater(X0,X1) ),
    inference(clausification,[status(esa)],[t11_FOL]) ).

cnf(c7,plain,
    ( ~ complexity(X0,X4,X1)
    | ~ greater(X4,X3)
    | ~ complexity(X0,X3,X2)
    | ~ 'reorganization$ufree'(X0,X1,X2)
    | ~ greater(X2,X1)
    | ~ organization(X0,X2)
    | ~ organization(X0,X1) ),
    inference(clausification,[status(esa)],[t12_FOL]) ).

cnf(c8,plain,
    organization(sK26,sK31),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c9,plain,
    organization(sK26,sK32),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c10,plain,
    'reorganization$ufree'(sK26,sK31,sK32),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c11,plain,
    complexity(sK26,sK27,sK31),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c12,plain,
    complexity(sK26,sK28,sK32),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c13,plain,
    size(sK26,sK29,sK31),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c14,plain,
    size(sK26,sK30,sK32),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c15,plain,
    greater(sK30,sK29),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c16,plain,
    greater(sK27,sK28),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ size(X2,X0,X3)
    | ~ size(X2,X1,X3)
    | ~ organization(X2,X3)
    | ~ organization(X2,X3)
    | X0 = X1 ),
    inference(equality_resolution,[status(thm)],[c5]) ).

cnf(d1,plain,
    ( ~ size(sK26,X0,sK31)
    | ~ organization(sK26,sK31)
    | sK29 = X0 ),
    inference(resolution,[status(thm)],[d0,c13]) ).

cnf(d2,plain,
    ( ~ size(sK26,X0,sK31)
    | sK29 = X0 ),
    inference(resolution,[status(thm)],[c8,d1]) ).

cnf(d3,plain,
    ( ~ complexity(sK26,X1,X0)
    | ~ 'reorganization$ufree'(sK26,sK31,X0)
    | ~ organization(sK26,sK31)
    | ~ organization(sK26,X0)
    | ~ greater(sK27,X1)
    | ~ greater(X0,sK31) ),
    inference(resolution,[status(thm)],[c11,c7]) ).

cnf(d4,plain,
    ( ~ complexity(sK26,X1,X0)
    | ~ 'reorganization$ufree'(sK26,sK31,X0)
    | ~ organization(sK26,X0)
    | ~ greater(sK27,X1)
    | ~ greater(X0,sK31) ),
    inference(resolution,[status(thm)],[c8,d3]) ).

cnf(d5,plain,
    ( ~ 'reorganization$ufree'(sK26,sK31,sK32)
    | ~ organization(sK26,sK32)
    | ~ greater(sK27,sK28)
    | ~ greater(sK32,sK31) ),
    inference(resolution,[status(thm)],[d4,c12]) ).

cnf(d6,plain,
    ( ~ 'reorganization$ufree'(sK26,sK31,sK32)
    | ~ greater(sK27,sK28)
    | ~ greater(sK32,sK31) ),
    inference(resolution,[status(thm)],[c9,d5]) ).

cnf(d7,plain,
    ( ~ 'reorganization$ufree'(sK26,sK31,sK32)
    | ~ greater(sK32,sK31) ),
    inference(resolution,[status(thm)],[c16,d6]) ).

cnf(d8,plain,
    ~ greater(sK32,sK31),
    inference(resolution,[status(thm)],[c10,d7]) ).

cnf(d9,plain,
    ( ~ time(sK32)
    | ~ time(sK31)
    | greater(sK31,sK32)
    | sK32 = sK31 ),
    inference(resolution,[status(thm)],[d8,c3]) ).

cnf(d10,plain,
    time(sK31),
    inference(resolution,[status(thm)],[c2,c8]) ).

cnf(d11,plain,
    ( ~ time(sK32)
    | greater(sK31,sK32)
    | sK32 = sK31 ),
    inference(resolution,[status(thm)],[d10,d9]) ).

cnf(d12,plain,
    time(sK32),
    inference(resolution,[status(thm)],[c2,c9]) ).

cnf(d13,plain,
    ( greater(sK31,sK32)
    | sK32 = sK31 ),
    inference(resolution,[status(thm)],[d12,d11]) ).

cnf(d14,plain,
    ( ~ size(sK26,X1,X0)
    | ~ 'reorganization$ufree'(sK26,sK32,X0)
    | ~ organization(sK26,sK32)
    | ~ organization(sK26,X0)
    | ~ greater(sK30,X1)
    | ~ greater(X0,sK32) ),
    inference(resolution,[status(thm)],[c14,c6]) ).

cnf(d15,plain,
    ( ~ size(sK26,X1,X0)
    | ~ 'reorganization$ufree'(sK26,sK32,X0)
    | ~ organization(sK26,X0)
    | ~ greater(sK30,X1)
    | ~ greater(X0,sK32) ),
    inference(resolution,[status(thm)],[c9,d14]) ).

cnf(d16,plain,
    ( ~ 'reorganization$ufree'(sK26,sK32,sK31)
    | ~ organization(sK26,sK31)
    | ~ greater(sK30,sK29)
    | ~ greater(sK31,sK32) ),
    inference(resolution,[status(thm)],[d15,c13]) ).

cnf(d17,plain,
    ( ~ 'reorganization$ufree'(sK26,sK32,sK31)
    | ~ greater(sK30,sK29)
    | ~ greater(sK31,sK32) ),
    inference(resolution,[status(thm)],[c8,d16]) ).

cnf(d18,plain,
    ( ~ 'reorganization$ufree'(sK26,sK32,sK31)
    | ~ greater(sK31,sK32) ),
    inference(resolution,[status(thm)],[c15,d17]) ).

cnf(d19,plain,
    'reorganization$ufree'(sK26,sK32,sK31),
    inference(resolution,[status(thm)],[c10,c4]) ).

cnf(d20,plain,
    ~ greater(sK31,sK32),
    inference(resolution,[status(thm)],[d19,d18]) ).

cnf(d21,plain,
    sK32 = sK31,
    inference(resolution,[status(thm)],[d20,d13]) ).

cnf(d22,plain,
    size(sK26,sK30,sK31),
    inference(demodulation,[status(thm)],[c14,d21]) ).

cnf(d23,plain,
    sK29 = sK30,
    inference(resolution,[status(thm)],[d22,d2]) ).

cnf(d24,plain,
    greater(sK29,sK29),
    inference(demodulation,[status(thm)],[c15,d23]) ).

cnf(d25,plain,
    ~ greater(X0,X0),
    inference(equality_resolution,[status(thm)],[c0]) ).

cnf(d26,plain,
    $false,
    inference(resolution,[status(thm)],[d25,d24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT014+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56  % Computer : n017.cluster.edu
% 0.09/0.56  % Model    : x86_64 x86_64
% 0.09/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56  % Memory   : 8046.5625MB
% 0.09/0.56  % OS       : Linux 6.8.0-71-generic
% 0.09/0.56  % CPULimit : 300
% 0.09/0.56  % WCLimit  : 300
% 0.09/0.56  % DateTime : Fri Sep 25 23:58:47 UTC 2026
% 0.09/0.56  % CPUTime  : 
% 0.09/0.56  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.34/2.05  % SZS status Theorem for theBenchmark.p
% 11.34/2.05  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------