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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT017+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n025.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  : 300s
% DateTime : Tue May  5 04:47:07 PM UTC 2026

% Result   : Theorem 1.27s 1.72s
% Output   : CNFRefutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   37 (  15 unt;   0 def)
%            Number of atoms       :  191 (   0 equ)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives :  256 ( 102   ~;  96   |;  53   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  118 (   1 sgn  58   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t17_FOL,conjecture,
    ! [X1,X4,X12,X5,X6,X7,X13,X14,X15] :
      ( ( organization(X1,X13)
        & organization(X4,X13)
        & organization(X4,X15)
        & class(X1,X5,X13)
        & class(X4,X5,X13)
        & reorganization(X1,X13,X14)
        & reorganization(X4,X13,X15)
        & reorganization_type(X1,X12,X13)
        & reorganization_type(X4,X12,X13)
        & size(X1,X6,X13)
        & size(X4,X7,X13)
        & greater(X7,X6) )
     => greater(X15,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL) ).

fof(a13_FOL,hypothesis,
    ! [X1,X4,X12,X5,X8,X9,X13,X14,X15] :
      ( ( organization(X1,X13)
        & organization(X4,X13)
        & organization(X4,X15)
        & class(X1,X5,X13)
        & class(X4,X5,X13)
        & reorganization(X1,X13,X14)
        & reorganization(X4,X13,X15)
        & reorganization_type(X1,X12,X13)
        & reorganization_type(X4,X12,X13)
        & inertia(X1,X8,X13)
        & inertia(X4,X9,X13)
        & greater(X9,X8) )
     => greater(X15,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_FOL) ).

fof(a5_FOL,hypothesis,
    ! [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & class(X1,X5,X10)
        & class(X4,X5,X11)
        & size(X1,X6,X10)
        & size(X4,X7,X11)
        & inertia(X1,X8,X10)
        & inertia(X4,X9,X11)
        & greater(X7,X6) )
     => greater(X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).

fof(mp5,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : inertia(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X4,X12,X5,X6,X7,X13,X14,X15] :
        ( ( organization(X1,X13)
          & organization(X4,X13)
          & organization(X4,X15)
          & class(X1,X5,X13)
          & class(X4,X5,X13)
          & reorganization(X1,X13,X14)
          & reorganization(X4,X13,X15)
          & reorganization_type(X1,X12,X13)
          & reorganization_type(X4,X12,X13)
          & size(X1,X6,X13)
          & size(X4,X7,X13)
          & greater(X7,X6) )
       => greater(X15,X14) ),
    inference(assume_negation,[status(cth)],[t17_FOL]) ).

fof(c_0_5,hypothesis,
    ! [X58,X59,X60,X61,X62,X63,X64,X65,X66] :
      ( ~ organization(X58,X64)
      | ~ organization(X59,X64)
      | ~ organization(X59,X66)
      | ~ class(X58,X61,X64)
      | ~ class(X59,X61,X64)
      | ~ reorganization(X58,X64,X65)
      | ~ reorganization(X59,X64,X66)
      | ~ reorganization_type(X58,X60,X64)
      | ~ reorganization_type(X59,X60,X64)
      | ~ inertia(X58,X62,X64)
      | ~ inertia(X59,X63,X64)
      | ~ greater(X63,X62)
      | greater(X66,X65) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a13_FOL])]) ).

fof(c_0_6,negated_conjecture,
    ( organization(esk2_0,esk8_0)
    & organization(esk3_0,esk8_0)
    & organization(esk3_0,esk10_0)
    & class(esk2_0,esk5_0,esk8_0)
    & class(esk3_0,esk5_0,esk8_0)
    & reorganization(esk2_0,esk8_0,esk9_0)
    & reorganization(esk3_0,esk8_0,esk10_0)
    & reorganization_type(esk2_0,esk4_0,esk8_0)
    & reorganization_type(esk3_0,esk4_0,esk8_0)
    & size(esk2_0,esk6_0,esk8_0)
    & size(esk3_0,esk7_0,esk8_0)
    & greater(esk7_0,esk6_0)
    & ~ greater(esk10_0,esk9_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,hypothesis,
    ! [X49,X50,X51,X52,X53,X54,X55,X56,X57] :
      ( ~ organization(X49,X56)
      | ~ organization(X50,X57)
      | ~ class(X49,X51,X56)
      | ~ class(X50,X51,X57)
      | ~ size(X49,X52,X56)
      | ~ size(X50,X53,X57)
      | ~ inertia(X49,X54,X56)
      | ~ inertia(X50,X55,X57)
      | ~ greater(X53,X52)
      | greater(X55,X54) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a5_FOL])]) ).

cnf(c_0_8,hypothesis,
    ( greater(X4,X6)
    | ~ organization(X1,X2)
    | ~ organization(X3,X2)
    | ~ organization(X3,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X2)
    | ~ reorganization(X1,X2,X6)
    | ~ reorganization(X3,X2,X4)
    | ~ reorganization_type(X1,X7,X2)
    | ~ reorganization_type(X3,X7,X2)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X2)
    | ~ greater(X9,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    reorganization_type(esk3_0,esk4_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    organization(esk3_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    ( greater(X9,X8)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X4)
    | ~ size(X1,X6,X2)
    | ~ size(X3,X7,X4)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X4)
    | ~ greater(X7,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    size(esk3_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( greater(X1,X2)
    | ~ reorganization_type(X3,esk4_0,esk8_0)
    | ~ reorganization(esk3_0,esk8_0,X1)
    | ~ reorganization(X3,esk8_0,X2)
    | ~ greater(X4,X5)
    | ~ class(esk3_0,X6,esk8_0)
    | ~ class(X3,X6,esk8_0)
    | ~ inertia(esk3_0,X4,esk8_0)
    | ~ inertia(X3,X5,esk8_0)
    | ~ organization(esk3_0,X1)
    | ~ organization(X3,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_14,negated_conjecture,
    reorganization_type(esk2_0,esk4_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,negated_conjecture,
    organization(esk2_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(esk7_0,X3)
    | ~ size(X4,X3,X5)
    | ~ class(esk3_0,X6,esk8_0)
    | ~ class(X4,X6,X5)
    | ~ inertia(esk3_0,X1,esk8_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10])]) ).

cnf(c_0_17,negated_conjecture,
    class(esk3_0,esk5_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_18,plain,
    ! [X46,X47] :
      ( ~ organization(X46,X47)
      | inertia(X46,esk1_2(X46,X47),X47) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp5])])]) ).

cnf(c_0_19,negated_conjecture,
    ( greater(X1,X2)
    | ~ reorganization(esk3_0,esk8_0,X1)
    | ~ reorganization(esk2_0,esk8_0,X2)
    | ~ greater(X3,X4)
    | ~ class(esk3_0,X5,esk8_0)
    | ~ class(esk2_0,X5,esk8_0)
    | ~ inertia(esk3_0,X3,esk8_0)
    | ~ inertia(esk2_0,X4,esk8_0)
    | ~ organization(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_20,negated_conjecture,
    reorganization(esk3_0,esk8_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    organization(esk3_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(esk7_0,X3)
    | ~ size(X4,X3,X5)
    | ~ class(X4,esk5_0,X5)
    | ~ inertia(esk3_0,X1,esk8_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    ( inertia(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( greater(esk10_0,X1)
    | ~ reorganization(esk2_0,esk8_0,X1)
    | ~ greater(X2,X3)
    | ~ class(esk3_0,X4,esk8_0)
    | ~ class(esk2_0,X4,esk8_0)
    | ~ inertia(esk3_0,X2,esk8_0)
    | ~ inertia(esk2_0,X3,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_25,negated_conjecture,
    reorganization(esk2_0,esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,negated_conjecture,
    ~ greater(esk10_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(esk1_2(esk3_0,esk8_0),X1)
    | ~ greater(esk7_0,X2)
    | ~ size(X3,X2,X4)
    | ~ class(X3,esk5_0,X4)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_10])]) ).

cnf(c_0_28,negated_conjecture,
    class(esk2_0,esk5_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ greater(X1,X2)
    | ~ class(esk3_0,X3,esk8_0)
    | ~ class(esk2_0,X3,esk8_0)
    | ~ inertia(esk3_0,X1,esk8_0)
    | ~ inertia(esk2_0,X2,esk8_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ( greater(esk1_2(esk3_0,esk8_0),X1)
    | ~ greater(esk7_0,X2)
    | ~ size(esk2_0,X2,esk8_0)
    | ~ inertia(esk2_0,X1,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_15])]) ).

cnf(c_0_31,negated_conjecture,
    size(esk2_0,esk6_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,negated_conjecture,
    greater(esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ greater(X1,X2)
    | ~ inertia(esk3_0,X1,esk8_0)
    | ~ inertia(esk2_0,X2,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_17]),c_0_28])]) ).

cnf(c_0_34,negated_conjecture,
    ( greater(esk1_2(esk3_0,esk8_0),X1)
    | ~ inertia(esk2_0,X1,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_35,negated_conjecture,
    ~ inertia(esk2_0,X1,esk8_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_10])]),c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT017+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n025.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 23:27:13 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.27/1.72  % Version  : CSE_E---1.7
% 1.27/1.72  % Problem  : theBenchmark.p
% 1.27/1.72  % SZS status Theorem for theBenchmark.p
% 1.27/1.72  % SZS output start CNFRefutation
% See solution above
% 1.27/1.72  % Total time : 1.376s
%------------------------------------------------------------------------------