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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT005+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 : n005.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 04:47:03 PM UTC 2026

% Result   : Theorem 5.64s 4.19s
% Output   : CNFRefutation 5.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   96 (  24 unt;   0 def)
%            Number of atoms       :  502 (  23 equ)
%            Maximal formula atoms :   19 (   5 avg)
%            Number of connectives :  685 ( 279   ~; 291   |; 104   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-2 aty)
%            Number of variables   :  278 (   7 sgn 129   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t5_FOL,conjecture,
    ! [X1,X2,X12,X13,X5,X10,X11,X14,X15,X8,X9,X16] :
      ( ( organization(X1,X8)
        & organization(X2,X8)
        & organization(X1,X16)
        & organization(X2,X16)
        & class(X1,X13,X8)
        & class(X2,X13,X8)
        & survival_chance(X1,X5,X8)
        & survival_chance(X2,X5,X8)
        & reorganization(X1,X8,X9)
        & reorganization(X2,X8,X16)
        & reorganization_type(X1,X12,X8)
        & reorganization_type(X2,X12,X8)
        & reorganization_free(X1,X9,X16)
        & survival_chance(X1,X10,X16)
        & survival_chance(X2,X11,X16)
        & complexity(X1,X14,X8)
        & complexity(X2,X15,X8)
        & greater(X15,X14) )
     => greater(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL) ).

fof(a11_FOL,hypothesis,
    ! [X1,X2,X12,X13,X5,X10,X11,X14,X15,X8,X9,X16] :
      ( ( organization(X1,X8)
        & organization(X2,X8)
        & organization(X1,X9)
        & organization(X2,X9)
        & class(X1,X13,X8)
        & class(X2,X13,X8)
        & survival_chance(X1,X5,X8)
        & survival_chance(X2,X5,X8)
        & reorganization(X1,X8,X9)
        & reorganization(X2,X8,X16)
        & reorganization_type(X1,X12,X8)
        & reorganization_type(X2,X12,X8)
        & survival_chance(X1,X10,X9)
        & survival_chance(X2,X11,X9)
        & complexity(X1,X14,X8)
        & complexity(X2,X15,X8)
        & greater(X15,X14) )
     => ( greater(X10,X11)
        | X10 = X11 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_FOL) ).

fof(a10_FOL,hypothesis,
    ! [X1,X2,X12,X13,X14,X15,X8,X9,X16] :
      ( ( organization(X1,X8)
        & organization(X2,X8)
        & organization(X2,X16)
        & class(X1,X13,X8)
        & class(X2,X13,X8)
        & reorganization(X1,X8,X9)
        & reorganization(X2,X8,X16)
        & reorganization_type(X1,X12,X8)
        & reorganization_type(X2,X12,X8)
        & complexity(X1,X14,X8)
        & complexity(X2,X15,X8)
        & greater(X15,X14) )
     => greater(X16,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_FOL) ).

fof(mp13,axiom,
    ! [X1,X4,X6,X7] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & greater(X4,X6)
        & greater(X7,X4) )
     => organization(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp13) ).

fof(mp7,axiom,
    ! [X1,X8,X9] :
      ( reorganization(X1,X8,X9)
     => greater(X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7) ).

fof(t4_FOL,hypothesis,
    ! [X1,X10,X11,X6,X7,X8,X9] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & reorganization(X1,X8,X9)
        & survival_chance(X1,X10,X6)
        & survival_chance(X1,X11,X7)
        & ~ greater(X8,X6)
        & greater(X7,X6)
        & ~ greater(X7,X9) )
     => greater(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL) ).

fof(mp6_1,axiom,
    ! [X1,X2] :
      ~ ( greater(X1,X2)
        & X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1) ).

fof(mp12,axiom,
    ! [X1,X4] :
      ( organization(X1,X4)
     => ? [X5] : survival_chance(X1,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp12) ).

fof(t3_FOL,hypothesis,
    ! [X1,X10,X11,X6,X7] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & reorganization_free(X1,X6,X7)
        & survival_chance(X1,X10,X6)
        & survival_chance(X1,X11,X7)
        & greater(X7,X6) )
     => greater(X11,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL) ).

fof(mp6_2,axiom,
    ! [X1,X2] :
      ~ ( greater(X1,X2)
        & greater(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).

fof(mp11,axiom,
    ! [X1,X2,X3] :
      ( ( greater(X1,X2)
        & greater(X2,X3) )
     => greater(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp11) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1,X2,X12,X13,X5,X10,X11,X14,X15,X8,X9,X16] :
        ( ( organization(X1,X8)
          & organization(X2,X8)
          & organization(X1,X16)
          & organization(X2,X16)
          & class(X1,X13,X8)
          & class(X2,X13,X8)
          & survival_chance(X1,X5,X8)
          & survival_chance(X2,X5,X8)
          & reorganization(X1,X8,X9)
          & reorganization(X2,X8,X16)
          & reorganization_type(X1,X12,X8)
          & reorganization_type(X2,X12,X8)
          & reorganization_free(X1,X9,X16)
          & survival_chance(X1,X10,X16)
          & survival_chance(X2,X11,X16)
          & complexity(X1,X14,X8)
          & complexity(X2,X15,X8)
          & greater(X15,X14) )
       => greater(X10,X11) ),
    inference(assume_negation,[status(cth)],[t5_FOL]) ).

fof(c_0_12,hypothesis,
    ! [X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128] :
      ( ~ organization(X117,X126)
      | ~ organization(X118,X126)
      | ~ organization(X117,X127)
      | ~ organization(X118,X127)
      | ~ class(X117,X120,X126)
      | ~ class(X118,X120,X126)
      | ~ survival_chance(X117,X121,X126)
      | ~ survival_chance(X118,X121,X126)
      | ~ reorganization(X117,X126,X127)
      | ~ reorganization(X118,X126,X128)
      | ~ reorganization_type(X117,X119,X126)
      | ~ reorganization_type(X118,X119,X126)
      | ~ survival_chance(X117,X122,X127)
      | ~ survival_chance(X118,X123,X127)
      | ~ complexity(X117,X124,X126)
      | ~ complexity(X118,X125,X126)
      | ~ greater(X125,X124)
      | greater(X122,X123)
      | X122 = X123 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a11_FOL])]) ).

fof(c_0_13,negated_conjecture,
    ( organization(esk2_0,esk11_0)
    & organization(esk3_0,esk11_0)
    & organization(esk2_0,esk13_0)
    & organization(esk3_0,esk13_0)
    & class(esk2_0,esk5_0,esk11_0)
    & class(esk3_0,esk5_0,esk11_0)
    & survival_chance(esk2_0,esk6_0,esk11_0)
    & survival_chance(esk3_0,esk6_0,esk11_0)
    & reorganization(esk2_0,esk11_0,esk12_0)
    & reorganization(esk3_0,esk11_0,esk13_0)
    & reorganization_type(esk2_0,esk4_0,esk11_0)
    & reorganization_type(esk3_0,esk4_0,esk11_0)
    & reorganization_free(esk2_0,esk12_0,esk13_0)
    & survival_chance(esk2_0,esk7_0,esk13_0)
    & survival_chance(esk3_0,esk8_0,esk13_0)
    & complexity(esk2_0,esk9_0,esk11_0)
    & complexity(esk3_0,esk10_0,esk11_0)
    & greater(esk10_0,esk9_0)
    & ~ greater(esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_14,hypothesis,
    ! [X108,X109,X110,X111,X112,X113,X114,X115,X116] :
      ( ~ organization(X108,X114)
      | ~ organization(X109,X114)
      | ~ organization(X109,X116)
      | ~ class(X108,X111,X114)
      | ~ class(X109,X111,X114)
      | ~ reorganization(X108,X114,X115)
      | ~ reorganization(X109,X114,X116)
      | ~ reorganization_type(X108,X110,X114)
      | ~ reorganization_type(X109,X110,X114)
      | ~ complexity(X108,X112,X114)
      | ~ complexity(X109,X113,X114)
      | ~ greater(X113,X112)
      | greater(X116,X115) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a10_FOL])]) ).

cnf(c_0_15,hypothesis,
    ( greater(X9,X10)
    | X9 = X10
    | ~ organization(X1,X2)
    | ~ organization(X3,X2)
    | ~ organization(X1,X4)
    | ~ organization(X3,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X2)
    | ~ survival_chance(X1,X6,X2)
    | ~ survival_chance(X3,X6,X2)
    | ~ reorganization(X1,X2,X4)
    | ~ reorganization(X3,X2,X7)
    | ~ reorganization_type(X1,X8,X2)
    | ~ reorganization_type(X3,X8,X2)
    | ~ survival_chance(X1,X9,X4)
    | ~ survival_chance(X3,X10,X4)
    | ~ complexity(X1,X11,X2)
    | ~ complexity(X3,X12,X2)
    | ~ greater(X12,X11) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    complexity(esk3_0,esk10_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    organization(esk3_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,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)
    | ~ complexity(X1,X8,X2)
    | ~ complexity(X3,X9,X2)
    | ~ greater(X9,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ complexity(X3,X4,esk11_0)
    | ~ reorganization_type(esk3_0,X5,esk11_0)
    | ~ reorganization_type(X3,X5,esk11_0)
    | ~ class(esk3_0,X6,esk11_0)
    | ~ class(X3,X6,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X7)
    | ~ reorganization(X3,esk11_0,X8)
    | ~ survival_chance(esk3_0,X9,esk11_0)
    | ~ survival_chance(esk3_0,X2,X8)
    | ~ survival_chance(X3,X9,esk11_0)
    | ~ survival_chance(X3,X1,X8)
    | ~ organization(esk3_0,X8)
    | ~ organization(X3,esk11_0)
    | ~ organization(X3,X8)
    | ~ greater(esk10_0,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    reorganization_type(esk3_0,esk4_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( greater(X1,X2)
    | ~ complexity(X3,X4,esk11_0)
    | ~ reorganization_type(esk3_0,X5,esk11_0)
    | ~ reorganization_type(X3,X5,esk11_0)
    | ~ class(esk3_0,X6,esk11_0)
    | ~ class(X3,X6,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X1)
    | ~ reorganization(X3,esk11_0,X2)
    | ~ organization(esk3_0,X1)
    | ~ organization(X3,esk11_0)
    | ~ greater(esk10_0,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_17])]) ).

cnf(c_0_22,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ complexity(X3,X4,esk11_0)
    | ~ reorganization_type(X3,esk4_0,esk11_0)
    | ~ class(esk3_0,X5,esk11_0)
    | ~ class(X3,X5,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X6)
    | ~ reorganization(X3,esk11_0,X7)
    | ~ survival_chance(esk3_0,X8,esk11_0)
    | ~ survival_chance(esk3_0,X2,X7)
    | ~ survival_chance(X3,X8,esk11_0)
    | ~ survival_chance(X3,X1,X7)
    | ~ organization(esk3_0,X7)
    | ~ organization(X3,esk11_0)
    | ~ organization(X3,X7)
    | ~ greater(esk10_0,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    reorganization_type(esk2_0,esk4_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    organization(esk2_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    ( greater(X1,X2)
    | ~ complexity(X3,X4,esk11_0)
    | ~ reorganization_type(X3,esk4_0,esk11_0)
    | ~ class(esk3_0,X5,esk11_0)
    | ~ class(X3,X5,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X1)
    | ~ reorganization(X3,esk11_0,X2)
    | ~ organization(esk3_0,X1)
    | ~ organization(X3,esk11_0)
    | ~ greater(esk10_0,X4) ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ complexity(esk2_0,X3,esk11_0)
    | ~ class(esk3_0,X4,esk11_0)
    | ~ class(esk2_0,X4,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X5)
    | ~ reorganization(esk2_0,esk11_0,X6)
    | ~ survival_chance(esk3_0,X7,esk11_0)
    | ~ survival_chance(esk2_0,X7,esk11_0)
    | ~ survival_chance(esk3_0,X2,X6)
    | ~ survival_chance(esk2_0,X1,X6)
    | ~ organization(esk3_0,X6)
    | ~ organization(esk2_0,X6)
    | ~ greater(esk10_0,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_27,negated_conjecture,
    complexity(esk2_0,esk9_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    greater(esk10_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,negated_conjecture,
    ( greater(X1,X2)
    | ~ complexity(esk2_0,X3,esk11_0)
    | ~ class(esk3_0,X4,esk11_0)
    | ~ class(esk2_0,X4,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X1)
    | ~ reorganization(esk2_0,esk11_0,X2)
    | ~ organization(esk3_0,X1)
    | ~ greater(esk10_0,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24])]) ).

cnf(c_0_30,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ class(esk3_0,X3,esk11_0)
    | ~ class(esk2_0,X3,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X4)
    | ~ reorganization(esk2_0,esk11_0,X5)
    | ~ survival_chance(esk3_0,X6,esk11_0)
    | ~ survival_chance(esk2_0,X6,esk11_0)
    | ~ survival_chance(esk3_0,X2,X5)
    | ~ survival_chance(esk2_0,X1,X5)
    | ~ organization(esk3_0,X5)
    | ~ organization(esk2_0,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_31,negated_conjecture,
    class(esk3_0,esk5_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_32,negated_conjecture,
    class(esk2_0,esk5_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_33,plain,
    ! [X89,X90,X91,X92] :
      ( ~ organization(X89,X91)
      | ~ organization(X89,X92)
      | ~ greater(X90,X91)
      | ~ greater(X92,X90)
      | organization(X89,X90) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp13])]) ).

cnf(c_0_34,negated_conjecture,
    ( greater(X1,X2)
    | ~ class(esk3_0,X3,esk11_0)
    | ~ class(esk2_0,X3,esk11_0)
    | ~ reorganization(esk3_0,esk11_0,X1)
    | ~ reorganization(esk2_0,esk11_0,X2)
    | ~ organization(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_28])]) ).

cnf(c_0_35,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ reorganization(esk3_0,esk11_0,X3)
    | ~ reorganization(esk2_0,esk11_0,X4)
    | ~ survival_chance(esk3_0,X5,esk11_0)
    | ~ survival_chance(esk2_0,X5,esk11_0)
    | ~ survival_chance(esk3_0,X2,X4)
    | ~ survival_chance(esk2_0,X1,X4)
    | ~ organization(esk3_0,X4)
    | ~ organization(esk2_0,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_36,negated_conjecture,
    reorganization(esk3_0,esk11_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_37,plain,
    ( organization(X1,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ greater(X4,X2)
    | ~ greater(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    organization(esk3_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_39,negated_conjecture,
    ( greater(X1,X2)
    | ~ reorganization(esk3_0,esk11_0,X1)
    | ~ reorganization(esk2_0,esk11_0,X2)
    | ~ organization(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_32])]) ).

fof(c_0_40,plain,
    ! [X93,X94,X95] :
      ( ~ reorganization(X93,X94,X95)
      | greater(X95,X94) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp7])]) ).

cnf(c_0_41,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ reorganization(esk2_0,esk11_0,X3)
    | ~ survival_chance(esk3_0,X4,esk11_0)
    | ~ survival_chance(esk2_0,X4,esk11_0)
    | ~ survival_chance(esk3_0,X2,X3)
    | ~ survival_chance(esk2_0,X1,X3)
    | ~ organization(esk3_0,X3)
    | ~ organization(esk2_0,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    reorganization(esk2_0,esk11_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_43,negated_conjecture,
    ( organization(esk3_0,X1)
    | ~ organization(esk3_0,X2)
    | ~ greater(esk13_0,X1)
    | ~ greater(X1,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    ( greater(esk13_0,X1)
    | ~ reorganization(esk2_0,esk11_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_38])]) ).

cnf(c_0_45,plain,
    ( greater(X3,X2)
    | ~ reorganization(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    organization(esk2_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_47,hypothesis,
    ! [X1,X10,X11,X6,X7,X8,X9] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & reorganization(X1,X8,X9)
        & survival_chance(X1,X10,X6)
        & survival_chance(X1,X11,X7)
        & ~ greater(X8,X6)
        & greater(X7,X6)
        & ~ greater(X7,X9) )
     => greater(X10,X11) ),
    inference(fof_simplification,[status(thm)],[t4_FOL]) ).

cnf(c_0_48,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ survival_chance(esk3_0,X3,esk11_0)
    | ~ survival_chance(esk2_0,X3,esk11_0)
    | ~ survival_chance(esk3_0,X2,esk12_0)
    | ~ survival_chance(esk2_0,X1,esk12_0)
    | ~ organization(esk3_0,esk12_0)
    | ~ organization(esk2_0,esk12_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    ( organization(esk3_0,X1)
    | ~ greater(esk13_0,X1)
    | ~ greater(X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_17]) ).

cnf(c_0_50,negated_conjecture,
    greater(esk13_0,esk12_0),
    inference(spm,[status(thm)],[c_0_44,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    greater(esk12_0,esk11_0),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_52,negated_conjecture,
    ( organization(esk2_0,X1)
    | ~ organization(esk2_0,X2)
    | ~ greater(esk13_0,X1)
    | ~ greater(X1,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_46]) ).

fof(c_0_53,hypothesis,
    ! [X101,X102,X103,X104,X105,X106,X107] :
      ( ~ organization(X101,X104)
      | ~ organization(X101,X105)
      | ~ reorganization(X101,X106,X107)
      | ~ survival_chance(X101,X102,X104)
      | ~ survival_chance(X101,X103,X105)
      | greater(X106,X104)
      | ~ greater(X105,X104)
      | greater(X105,X107)
      | greater(X102,X103) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).

fof(c_0_54,plain,
    ! [X79,X80] :
      ( ~ greater(X79,X80)
      | X79 != X80 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp6_1])]) ).

cnf(c_0_55,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ survival_chance(esk3_0,X3,esk11_0)
    | ~ survival_chance(esk2_0,X3,esk11_0)
    | ~ survival_chance(esk3_0,X2,esk12_0)
    | ~ survival_chance(esk2_0,X1,esk12_0)
    | ~ organization(esk2_0,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51])]) ).

cnf(c_0_56,negated_conjecture,
    ( organization(esk2_0,X1)
    | ~ greater(esk13_0,X1)
    | ~ greater(X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_24]) ).

cnf(c_0_57,hypothesis,
    ( greater(X4,X2)
    | greater(X3,X5)
    | greater(X6,X7)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization(X1,X4,X5)
    | ~ survival_chance(X1,X6,X2)
    | ~ survival_chance(X1,X7,X3)
    | ~ greater(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_58,plain,
    ( ~ greater(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ survival_chance(esk3_0,X3,esk11_0)
    | ~ survival_chance(esk2_0,X3,esk11_0)
    | ~ survival_chance(esk3_0,X2,esk12_0)
    | ~ survival_chance(esk2_0,X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_50]),c_0_51])]) ).

cnf(c_0_60,negated_conjecture,
    survival_chance(esk3_0,esk6_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_61,negated_conjecture,
    survival_chance(esk2_0,esk6_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_62,plain,
    ! [X86,X87] :
      ( ~ organization(X86,X87)
      | survival_chance(X86,esk1_2(X86,X87),X87) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp12])])]) ).

cnf(c_0_63,negated_conjecture,
    ( greater(X1,esk13_0)
    | greater(esk11_0,X2)
    | greater(X3,X4)
    | ~ survival_chance(esk3_0,X4,X1)
    | ~ survival_chance(esk3_0,X3,X2)
    | ~ organization(esk3_0,X1)
    | ~ organization(esk3_0,X2)
    | ~ greater(X1,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_36]) ).

cnf(c_0_64,negated_conjecture,
    survival_chance(esk3_0,esk8_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_65,plain,
    ~ greater(X1,X1),
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    ( X1 = X2
    | greater(X1,X2)
    | ~ survival_chance(esk3_0,X2,esk12_0)
    | ~ survival_chance(esk2_0,X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_67,plain,
    ( survival_chance(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_68,hypothesis,
    ! [X96,X97,X98,X99,X100] :
      ( ~ organization(X96,X99)
      | ~ organization(X96,X100)
      | ~ reorganization_free(X96,X99,X100)
      | ~ survival_chance(X96,X97,X99)
      | ~ survival_chance(X96,X98,X100)
      | ~ greater(X100,X99)
      | greater(X98,X97) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_FOL])]) ).

cnf(c_0_69,negated_conjecture,
    ( greater(X1,esk8_0)
    | greater(esk11_0,X2)
    | ~ survival_chance(esk3_0,X1,X2)
    | ~ organization(esk3_0,X2)
    | ~ greater(esk13_0,X2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_38])]),c_0_65]) ).

fof(c_0_70,plain,
    ! [X81,X82] :
      ( ~ greater(X81,X82)
      | ~ greater(X82,X81) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp6_2])]) ).

cnf(c_0_71,negated_conjecture,
    ( X1 = esk1_2(esk3_0,esk12_0)
    | greater(X1,esk1_2(esk3_0,esk12_0))
    | ~ survival_chance(esk2_0,X1,esk12_0)
    | ~ organization(esk3_0,esk12_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,hypothesis,
    ( greater(X5,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ survival_chance(X1,X4,X2)
    | ~ survival_chance(X1,X5,X3)
    | ~ greater(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    reorganization_free(esk2_0,esk12_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_74,plain,
    ! [X83,X84,X85] :
      ( ~ greater(X83,X84)
      | ~ greater(X84,X85)
      | greater(X83,X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp11])]) ).

cnf(c_0_75,negated_conjecture,
    ( greater(esk1_2(esk3_0,X1),esk8_0)
    | greater(esk11_0,X1)
    | ~ organization(esk3_0,X1)
    | ~ greater(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_67]) ).

cnf(c_0_76,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_77,negated_conjecture,
    ( X1 = esk1_2(esk3_0,esk12_0)
    | greater(X1,esk1_2(esk3_0,esk12_0))
    | ~ survival_chance(esk2_0,X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_49]),c_0_50]),c_0_51])]) ).

cnf(c_0_78,negated_conjecture,
    ( greater(X1,X2)
    | ~ survival_chance(esk2_0,X1,esk13_0)
    | ~ survival_chance(esk2_0,X2,esk12_0)
    | ~ organization(esk2_0,esk12_0)
    | ~ greater(esk13_0,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_46])]) ).

cnf(c_0_79,plain,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    ( greater(esk1_2(esk3_0,X1),esk8_0)
    | ~ greater(esk13_0,X1)
    | ~ greater(X1,esk11_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_49]),c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    ( esk1_2(esk3_0,esk12_0) = esk1_2(esk2_0,esk12_0)
    | greater(esk1_2(esk2_0,esk12_0),esk1_2(esk3_0,esk12_0))
    | ~ organization(esk2_0,esk12_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_67]) ).

cnf(c_0_82,negated_conjecture,
    ( greater(X1,X2)
    | ~ survival_chance(esk2_0,X1,esk13_0)
    | ~ survival_chance(esk2_0,X2,esk12_0)
    | ~ greater(esk13_0,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_56]),c_0_51])]) ).

cnf(c_0_83,negated_conjecture,
    ( greater(X1,esk8_0)
    | ~ greater(X1,esk1_2(esk3_0,X2))
    | ~ greater(esk13_0,X2)
    | ~ greater(X2,esk11_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    ( esk1_2(esk3_0,esk12_0) = esk1_2(esk2_0,esk12_0)
    | greater(esk1_2(esk2_0,esk12_0),esk1_2(esk3_0,esk12_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_56]),c_0_50]),c_0_51])]) ).

cnf(c_0_85,negated_conjecture,
    ( greater(X1,X2)
    | ~ survival_chance(esk2_0,X1,esk13_0)
    | ~ survival_chance(esk2_0,X2,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_50])]) ).

cnf(c_0_86,negated_conjecture,
    survival_chance(esk2_0,esk7_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_87,negated_conjecture,
    ( esk1_2(esk3_0,esk12_0) = esk1_2(esk2_0,esk12_0)
    | greater(esk1_2(esk2_0,esk12_0),esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_50]),c_0_51])]) ).

cnf(c_0_88,negated_conjecture,
    ( greater(esk7_0,X1)
    | ~ survival_chance(esk2_0,X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    ( esk1_2(esk3_0,esk12_0) = esk1_2(esk2_0,esk12_0)
    | greater(X1,esk8_0)
    | ~ greater(X1,esk1_2(esk2_0,esk12_0)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ( greater(esk7_0,esk1_2(esk2_0,esk12_0))
    | ~ organization(esk2_0,esk12_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_67]) ).

cnf(c_0_91,negated_conjecture,
    ~ greater(esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_92,negated_conjecture,
    ( esk1_2(esk3_0,esk12_0) = esk1_2(esk2_0,esk12_0)
    | ~ organization(esk2_0,esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).

cnf(c_0_93,negated_conjecture,
    ( greater(X1,esk8_0)
    | ~ organization(esk2_0,esk12_0)
    | ~ greater(X1,esk1_2(esk2_0,esk12_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_92]),c_0_50]),c_0_51])]) ).

cnf(c_0_94,negated_conjecture,
    ~ organization(esk2_0,esk12_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_90]),c_0_91]) ).

cnf(c_0_95,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_56]),c_0_50]),c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT005+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
% 0.16/0.33  % Computer : n005.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 23:25:15 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 5.64/4.19  % Version  : CSE_E---1.7
% 5.64/4.19  % Problem  : theBenchmark.p
% 5.64/4.19  % SZS status Theorem for theBenchmark.p
% 5.64/4.19  % SZS output start CNFRefutation
% See solution above
% 5.72/4.20  % Total time : 3.369s
%------------------------------------------------------------------------------