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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : MGT010+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 : Tue Sep  8 06:11:19 AM UTC 2026

% Result   : Theorem 0.10s 0.45s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   56 (  36 unt;   0 def)
%            Number of atoms       :  173 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  187 (  70   ~;  67   |;  44   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-2 aty)
%            Number of variables   :   75 (   4 sgn  43   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t10_FOL,plain,
    ! [X,Y,C,R1,R2,A1,A2,S1,S2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & class(X,C,T1)
        & class(Y,C,T2)
        & reliability(X,R1,T1)
        & reliability(Y,R2,T2)
        & accountability(X,A1,T1)
        & accountability(Y,A2,T2)
        & size(X,S1,T1)
        & size(Y,S2,T2)
        & greater(S2,S1) )
     => ( greater(R2,R1)
        & greater(A2,A1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL) ).

fof(t10_FOL_negated,plain,
    ~ ! [X,Y,C,R1,R2,A1,A2,S1,S2,T1,T2] :
        ( ( organization(X,T1)
          & organization(Y,T2)
          & reorganization_free(X,T1,T1)
          & reorganization_free(Y,T2,T2)
          & class(X,C,T1)
          & class(Y,C,T2)
          & reliability(X,R1,T1)
          & reliability(Y,R2,T2)
          & accountability(X,A1,T1)
          & accountability(Y,A2,T2)
          & size(X,S1,T1)
          & size(Y,S2,T2)
          & greater(S2,S1) )
       => ( greater(R2,R1)
          & greater(A2,A1) ) ),
    inference(negate_conjecture,[status(cth)],[t10_FOL]) ).

cnf(5,plain,
    organization(sK2,sK11),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l0,plain,
    organization(sK2,sK11),
    inference(instantiation,[status(thm)],[5]) ).

fof(t9_FOL,plain,
    ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & class(X,C,T1)
        & class(Y,C,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2)
        & size(X,S1,T1)
        & size(Y,S2,T2)
        & greater(S2,S1) )
     => greater(Rp2,Rp1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL) ).

cnf(4,plain,
    ( ~ reorganization_free(X0,X1,X1)
    | ~ reorganization_free(X2,X3,X3)
    | ~ class(X0,X4,X1)
    | ~ class(X2,X4,X3)
    | ~ greater(X5,X6)
    | ~ organization(X0,X1)
    | ~ organization(X2,X3)
    | ~ size(X0,X6,X1)
    | ~ size(X2,X5,X3)
    | ~ reproducibility(X0,X7,X1)
    | ~ reproducibility(X2,X8,X3)
    | greater(X8,X7) ),
    inference(cnf,[status(esa)],[t9_FOL]) ).

cnf(l1,plain,
    ( ~ reorganization_free(sK2,sK11,sK11)
    | ~ reorganization_free(sK3,sK12,sK12)
    | ~ class(sK2,sK4,sK11)
    | ~ class(sK3,sK4,sK12)
    | ~ greater(sK10,sK9)
    | ~ organization(sK2,sK11)
    | ~ organization(sK3,sK12)
    | ~ size(sK2,sK9,sK11)
    | ~ size(sK3,sK10,sK12)
    | ~ reproducibility(sK2,sK1(sK2,sK11),sK11)
    | ~ reproducibility(sK3,sK1(sK3,sK12),sK12)
    | greater(sK1(sK3,sK12),sK1(sK2,sK11)) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(9,plain,
    class(sK2,sK4,sK11),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l3,plain,
    class(sK2,sK4,sK11),
    inference(instantiation,[status(thm)],[9]) ).

cnf(16,plain,
    size(sK3,sK10,sK12),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l12,plain,
    size(sK3,sK10,sK12),
    inference(instantiation,[status(thm)],[16]) ).

fof(mp3,plain,
    ! [X,T] :
      ( organization(X,T)
     => ? [Rp] : reproducibility(X,Rp,T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3) ).

cnf(0,plain,
    ( ~ organization(X0,X1)
    | reproducibility(X0,sK1(X0,X1),X1) ),
    inference(cnf,[status(esa)],[mp3]) ).

cnf(l4,plain,
    ( ~ organization(sK2,sK11)
    | reproducibility(sK2,sK1(sK2,sK11),sK11) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(6,plain,
    organization(sK3,sK12),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l218,plain,
    organization(sK3,sK12),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l219,plain,
    ( ~ organization(sK3,sK12)
    | reproducibility(sK3,sK1(sK3,sK12),sK12) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(17,plain,
    greater(sK10,sK9),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l7,plain,
    greater(sK10,sK9),
    inference(instantiation,[status(thm)],[17]) ).

cnf(7,plain,
    reorganization_free(sK2,sK11,sK11),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l2,plain,
    reorganization_free(sK2,sK11,sK11),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l220,plain,
    organization(sK3,sK12),
    inference(instantiation,[status(thm)],[6]) ).

cnf(10,plain,
    class(sK3,sK4,sK12),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l8,plain,
    class(sK3,sK4,sK12),
    inference(instantiation,[status(thm)],[10]) ).

fof(a2_FOL,plain,
    ! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reliability(X,R1,T1)
        & reliability(Y,R2,T2)
        & accountability(X,A1,T1)
        & accountability(Y,A2,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2) )
     => ( greater(Rp2,Rp1)
      <=> ( greater(R2,R1)
          & greater(A2,A1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).

cnf(1,plain,
    ( ~ reliability(X0,X1,X2)
    | ~ reliability(X3,X4,X5)
    | ~ accountability(X0,X6,X2)
    | ~ accountability(X3,X7,X5)
    | ~ greater(X8,X9)
    | ~ organization(X0,X2)
    | ~ organization(X3,X5)
    | ~ reproducibility(X0,X9,X2)
    | ~ reproducibility(X3,X8,X5)
    | greater(X4,X1) ),
    inference(cnf,[status(esa)],[a2_FOL]) ).

cnf(l221,plain,
    ( ~ reliability(sK2,sK5,sK11)
    | ~ reliability(sK3,sK6,sK12)
    | ~ accountability(sK2,sK7,sK11)
    | ~ accountability(sK3,sK8,sK12)
    | ~ greater(sK1(sK3,sK12),sK1(sK2,sK11))
    | ~ organization(sK2,sK11)
    | ~ organization(sK3,sK12)
    | ~ reproducibility(sK2,sK1(sK2,sK11),sK11)
    | ~ reproducibility(sK3,sK1(sK3,sK12),sK12)
    | greater(sK6,sK5) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l225,plain,
    ( ~ organization(sK2,sK11)
    | reproducibility(sK2,sK1(sK2,sK11),sK11) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(14,plain,
    accountability(sK3,sK8,sK12),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l226,plain,
    accountability(sK3,sK8,sK12),
    inference(instantiation,[status(thm)],[14]) ).

cnf(12,plain,
    reliability(sK3,sK6,sK12),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l224,plain,
    reliability(sK3,sK6,sK12),
    inference(instantiation,[status(thm)],[12]) ).

cnf(13,plain,
    accountability(sK2,sK7,sK11),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l227,plain,
    accountability(sK2,sK7,sK11),
    inference(instantiation,[status(thm)],[13]) ).

cnf(15,plain,
    size(sK2,sK9,sK11),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l9,plain,
    size(sK2,sK9,sK11),
    inference(instantiation,[status(thm)],[15]) ).

cnf(11,plain,
    reliability(sK2,sK5,sK11),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l230,plain,
    reliability(sK2,sK5,sK11),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l241,plain,
    organization(sK3,sK12),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l223,plain,
    ( ~ organization(sK3,sK12)
    | reproducibility(sK3,sK1(sK3,sK12),sK12) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(8,plain,
    reorganization_free(sK3,sK12,sK12),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l5,plain,
    reorganization_free(sK3,sK12,sK12),
    inference(instantiation,[status(thm)],[8]) ).

cnf(18,plain,
    ( ~ greater(sK6,sK5)
    | ~ greater(sK8,sK7) ),
    inference(cnf,[status(esa)],[t10_FOL_negated]) ).

cnf(l222,plain,
    ( ~ greater(sK6,sK5)
    | ~ greater(sK8,sK7) ),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l248,plain,
    organization(sK3,sK12),
    inference(instantiation,[status(thm)],[6]) ).

cnf(2,plain,
    ( ~ reliability(X0,X1,X2)
    | ~ reliability(X3,X4,X5)
    | ~ accountability(X0,X6,X2)
    | ~ accountability(X3,X7,X5)
    | ~ greater(X8,X9)
    | ~ organization(X0,X2)
    | ~ organization(X3,X5)
    | ~ reproducibility(X0,X9,X2)
    | ~ reproducibility(X3,X8,X5)
    | greater(X7,X6) ),
    inference(cnf,[status(esa)],[a2_FOL]) ).

cnf(l236,plain,
    ( ~ reliability(sK2,sK5,sK11)
    | ~ reliability(sK3,sK6,sK12)
    | ~ accountability(sK2,sK7,sK11)
    | ~ accountability(sK3,sK8,sK12)
    | ~ greater(sK1(sK3,sK12),sK1(sK2,sK11))
    | ~ organization(sK2,sK11)
    | ~ organization(sK3,sK12)
    | ~ reproducibility(sK2,sK1(sK2,sK11),sK11)
    | ~ reproducibility(sK3,sK1(sK3,sK12),sK12)
    | greater(sK8,sK7) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l285,plain,
    ( ~ organization(sK3,sK12)
    | reproducibility(sK3,sK1(sK3,sK12),sK12) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l277,plain,
    accountability(sK3,sK8,sK12),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l279,plain,
    ( ~ organization(sK2,sK11)
    | reproducibility(sK2,sK1(sK2,sK11),sK11) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l287,plain,
    organization(sK3,sK12),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l278,plain,
    reliability(sK3,sK6,sK12),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l276,plain,
    organization(sK3,sK12),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l286,plain,
    reliability(sK2,sK5,sK11),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l275,plain,
    accountability(sK2,sK7,sK11),
    inference(instantiation,[status(thm)],[13]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l12,l4,l218,l219,l7,l2,l220,l8,l221,l225,l226,l224,l227,l9,l230,l241,l223,l5,l222,l248,l236,l285,l277,l279,l287,l278,l276,l286,l275]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT010+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38  % Computer : n003.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep  7 11:49:09 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  % launching worker at depth: 1
% 0.10/0.38  % launching worker at depth: 3
% 0.10/0.38  % launching worker at depth: 5
% 0.10/0.38  % launching worker at depth: 7
% 0.10/0.38  % launching worker at depth: 4
% 0.10/0.38  % launching worker at depth: 2
% 0.10/0.38  % launching worker at depth: 6
% 0.10/0.38  % launching worker at depth: 8
% 0.10/0.39  % launching worker at depth: 9
% 0.10/0.39  % launching worker at depth: 10
% 0.10/0.41  % launching worker at depth: 11
% 0.10/0.45  % SZS status Theorem for theBenchmark
% 0.10/0.45  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------