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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT010+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n002.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 04:47:05 PM UTC 2026

% Result   : Theorem 1.29s 1.72s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   49 (  16 unt;   0 def)
%            Number of atoms       :  271 (   0 equ)
%            Maximal formula atoms :   31 (   5 avg)
%            Number of connectives :  383 ( 161   ~; 157   |;  59   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 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   :  174 (  18 sgn  64   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t10_FOL,conjecture,
    ! [X1,X4,X13,X7,X8,X9,X10,X14,X15,X5,X6] :
      ( ( organization(X1,X5)
        & organization(X4,X6)
        & reorganization_free(X1,X5,X5)
        & reorganization_free(X4,X6,X6)
        & class(X1,X13,X5)
        & class(X4,X13,X6)
        & reliability(X1,X7,X5)
        & reliability(X4,X8,X6)
        & accountability(X1,X9,X5)
        & accountability(X4,X10,X6)
        & size(X1,X14,X5)
        & size(X4,X15,X6)
        & greater(X15,X14) )
     => ( greater(X8,X7)
        & greater(X10,X9) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_FOL) ).

fof(t9_FOL,hypothesis,
    ! [X1,X4,X13,X11,X12,X14,X15,X5,X6] :
      ( ( organization(X1,X5)
        & organization(X4,X6)
        & reorganization_free(X1,X5,X5)
        & reorganization_free(X4,X6,X6)
        & class(X1,X13,X5)
        & class(X4,X13,X6)
        & reproducibility(X1,X11,X5)
        & reproducibility(X4,X12,X6)
        & size(X1,X14,X5)
        & size(X4,X15,X6)
        & greater(X15,X14) )
     => greater(X12,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL) ).

fof(a2_FOL,hypothesis,
    ! [X1,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ( organization(X1,X5)
        & organization(X4,X6)
        & reliability(X1,X7,X5)
        & reliability(X4,X8,X6)
        & accountability(X1,X9,X5)
        & accountability(X4,X10,X6)
        & reproducibility(X1,X11,X5)
        & reproducibility(X4,X12,X6) )
     => ( greater(X12,X11)
      <=> ( greater(X8,X7)
          & greater(X10,X9) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).

fof(mp3,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : reproducibility(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X4,X13,X7,X8,X9,X10,X14,X15,X5,X6] :
        ( ( organization(X1,X5)
          & organization(X4,X6)
          & reorganization_free(X1,X5,X5)
          & reorganization_free(X4,X6,X6)
          & class(X1,X13,X5)
          & class(X4,X13,X6)
          & reliability(X1,X7,X5)
          & reliability(X4,X8,X6)
          & accountability(X1,X9,X5)
          & accountability(X4,X10,X6)
          & size(X1,X14,X5)
          & size(X4,X15,X6)
          & greater(X15,X14) )
       => ( greater(X8,X7)
          & greater(X10,X9) ) ),
    inference(assume_negation,[status(cth)],[t10_FOL]) ).

fof(c_0_5,hypothesis,
    ! [X62,X63,X64,X65,X66,X67,X68,X69,X70] :
      ( ~ organization(X62,X69)
      | ~ organization(X63,X70)
      | ~ reorganization_free(X62,X69,X69)
      | ~ reorganization_free(X63,X70,X70)
      | ~ class(X62,X64,X69)
      | ~ class(X63,X64,X70)
      | ~ reproducibility(X62,X65,X69)
      | ~ reproducibility(X63,X66,X70)
      | ~ size(X62,X67,X69)
      | ~ size(X63,X68,X70)
      | ~ greater(X68,X67)
      | greater(X66,X65) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_FOL])]) ).

fof(c_0_6,negated_conjecture,
    ( organization(esk2_0,esk11_0)
    & organization(esk3_0,esk12_0)
    & reorganization_free(esk2_0,esk11_0,esk11_0)
    & reorganization_free(esk3_0,esk12_0,esk12_0)
    & class(esk2_0,esk4_0,esk11_0)
    & class(esk3_0,esk4_0,esk12_0)
    & reliability(esk2_0,esk5_0,esk11_0)
    & reliability(esk3_0,esk6_0,esk12_0)
    & accountability(esk2_0,esk7_0,esk11_0)
    & accountability(esk3_0,esk8_0,esk12_0)
    & size(esk2_0,esk9_0,esk11_0)
    & size(esk3_0,esk10_0,esk12_0)
    & greater(esk10_0,esk9_0)
    & ( ~ greater(esk6_0,esk5_0)
      | ~ greater(esk8_0,esk7_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_7,hypothesis,
    ( greater(X7,X6)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X3,X4,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X4)
    | ~ reproducibility(X1,X6,X2)
    | ~ reproducibility(X3,X7,X4)
    | ~ size(X1,X8,X2)
    | ~ size(X3,X9,X4)
    | ~ greater(X9,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    size(esk3_0,esk10_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    reorganization_free(esk3_0,esk12_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    organization(esk3_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,hypothesis,
    ! [X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
      ( ( greater(X57,X56)
        | ~ greater(X61,X60)
        | ~ organization(X52,X54)
        | ~ organization(X53,X55)
        | ~ reliability(X52,X56,X54)
        | ~ reliability(X53,X57,X55)
        | ~ accountability(X52,X58,X54)
        | ~ accountability(X53,X59,X55)
        | ~ reproducibility(X52,X60,X54)
        | ~ reproducibility(X53,X61,X55) )
      & ( greater(X59,X58)
        | ~ greater(X61,X60)
        | ~ organization(X52,X54)
        | ~ organization(X53,X55)
        | ~ reliability(X52,X56,X54)
        | ~ reliability(X53,X57,X55)
        | ~ accountability(X52,X58,X54)
        | ~ accountability(X53,X59,X55)
        | ~ reproducibility(X52,X60,X54)
        | ~ reproducibility(X53,X61,X55) )
      & ( ~ greater(X57,X56)
        | ~ greater(X59,X58)
        | greater(X61,X60)
        | ~ organization(X52,X54)
        | ~ organization(X53,X55)
        | ~ reliability(X52,X56,X54)
        | ~ reliability(X53,X57,X55)
        | ~ accountability(X52,X58,X54)
        | ~ accountability(X53,X59,X55)
        | ~ reproducibility(X52,X60,X54)
        | ~ reproducibility(X53,X61,X55) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_FOL])])]) ).

cnf(c_0_12,negated_conjecture,
    ( greater(X1,X2)
    | ~ size(X3,X4,X5)
    | ~ class(esk3_0,X6,esk12_0)
    | ~ class(X3,X6,X5)
    | ~ reorganization_free(X3,X5,X5)
    | ~ greater(esk10_0,X4)
    | ~ reproducibility(esk3_0,X1,esk12_0)
    | ~ reproducibility(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]) ).

cnf(c_0_13,negated_conjecture,
    class(esk3_0,esk4_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_14,plain,
    ! [X49,X50] :
      ( ~ organization(X49,X50)
      | reproducibility(X49,esk1_2(X49,X50),X50) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3])])]) ).

cnf(c_0_15,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8)
    | ~ reliability(X5,X9,X6)
    | ~ reliability(X7,X10,X8)
    | ~ accountability(X5,X2,X6)
    | ~ accountability(X7,X1,X8)
    | ~ reproducibility(X5,X4,X6)
    | ~ reproducibility(X7,X3,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    accountability(esk3_0,esk8_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    ( greater(X1,X2)
    | ~ size(X3,X4,X5)
    | ~ class(X3,esk4_0,X5)
    | ~ reorganization_free(X3,X5,X5)
    | ~ greater(esk10_0,X4)
    | ~ reproducibility(esk3_0,X1,esk12_0)
    | ~ reproducibility(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( reproducibility(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( greater(esk8_0,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X1,X5)
    | ~ reliability(esk3_0,X6,esk12_0)
    | ~ reliability(X4,X7,X5)
    | ~ reproducibility(esk3_0,X2,esk12_0)
    | ~ reproducibility(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_10])]) ).

cnf(c_0_20,negated_conjecture,
    reliability(esk3_0,esk6_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    ( greater(esk1_2(esk3_0,esk12_0),X1)
    | ~ size(X2,X3,X4)
    | ~ class(X2,esk4_0,X4)
    | ~ reorganization_free(X2,X4,X4)
    | ~ greater(esk10_0,X3)
    | ~ reproducibility(X2,X1,X4)
    | ~ organization(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_10])]) ).

cnf(c_0_22,negated_conjecture,
    class(esk2_0,esk4_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23,negated_conjecture,
    reorganization_free(esk2_0,esk11_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,negated_conjecture,
    organization(esk2_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8)
    | ~ reliability(X5,X2,X6)
    | ~ reliability(X7,X1,X8)
    | ~ accountability(X5,X9,X6)
    | ~ accountability(X7,X10,X8)
    | ~ reproducibility(X5,X4,X6)
    | ~ reproducibility(X7,X3,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_26,negated_conjecture,
    ( greater(esk8_0,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X1,X5)
    | ~ reliability(X4,X6,X5)
    | ~ reproducibility(esk3_0,X2,esk12_0)
    | ~ reproducibility(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(esk1_2(esk3_0,esk12_0),X1)
    | ~ size(esk2_0,X2,esk11_0)
    | ~ greater(esk10_0,X2)
    | ~ reproducibility(esk2_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_28,negated_conjecture,
    size(esk2_0,esk9_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_29,negated_conjecture,
    greater(esk10_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_30,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ accountability(X5,X6,X7)
    | ~ reliability(esk3_0,X1,esk12_0)
    | ~ reliability(X5,X2,X7)
    | ~ reproducibility(esk3_0,X3,esk12_0)
    | ~ reproducibility(X5,X4,X7)
    | ~ organization(X5,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_10])]) ).

cnf(c_0_31,negated_conjecture,
    ( greater(esk8_0,X1)
    | ~ greater(esk1_2(esk3_0,esk12_0),X2)
    | ~ accountability(X3,X1,X4)
    | ~ reliability(X3,X5,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_10])]) ).

cnf(c_0_32,negated_conjecture,
    ( greater(esk1_2(esk3_0,esk12_0),X1)
    | ~ reproducibility(esk2_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X5,X6)
    | ~ reliability(X4,X1,X6)
    | ~ reproducibility(esk3_0,X2,esk12_0)
    | ~ reproducibility(X4,X3,X6)
    | ~ organization(X4,X6) ),
    inference(spm,[status(thm)],[c_0_30,c_0_20]) ).

cnf(c_0_34,negated_conjecture,
    ( greater(esk8_0,X1)
    | ~ accountability(X2,X1,X3)
    | ~ reliability(X2,X4,X3)
    | ~ reproducibility(esk2_0,X5,esk11_0)
    | ~ reproducibility(X2,X5,X3)
    | ~ organization(X2,X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ greater(esk1_2(esk3_0,esk12_0),X2)
    | ~ accountability(X3,X4,X5)
    | ~ reliability(X3,X1,X5)
    | ~ reproducibility(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_18]),c_0_10])]) ).

cnf(c_0_36,negated_conjecture,
    ( greater(esk8_0,X1)
    | ~ accountability(X2,X1,X3)
    | ~ reliability(X2,X4,X3)
    | ~ reproducibility(X2,esk1_2(esk2_0,esk11_0),X3)
    | ~ organization(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_24])]) ).

cnf(c_0_37,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ accountability(X2,X3,X4)
    | ~ reliability(X2,X1,X4)
    | ~ reproducibility(esk2_0,X5,esk11_0)
    | ~ reproducibility(X2,X5,X4)
    | ~ organization(X2,X4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( greater(esk8_0,X1)
    | ~ accountability(esk2_0,X1,esk11_0)
    | ~ reliability(esk2_0,X2,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_18]),c_0_24])]) ).

cnf(c_0_39,negated_conjecture,
    accountability(esk2_0,esk7_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_40,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ accountability(X2,X3,X4)
    | ~ reliability(X2,X1,X4)
    | ~ reproducibility(X2,esk1_2(esk2_0,esk11_0),X4)
    | ~ organization(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_18]),c_0_24])]) ).

cnf(c_0_41,negated_conjecture,
    ( greater(esk8_0,esk7_0)
    | ~ reliability(esk2_0,X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    reliability(esk2_0,esk5_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_43,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ accountability(esk2_0,X2,esk11_0)
    | ~ reliability(esk2_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_18]),c_0_24])]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ greater(esk6_0,esk5_0)
    | ~ greater(esk8_0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_45,negated_conjecture,
    greater(esk8_0,esk7_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ reliability(esk2_0,X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ~ greater(esk6_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_42]),c_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT010+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33  % Computer : n002.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Mon May  4 23:26:16 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.34  % start to proof: theBenchmark
% 1.29/1.72  % Version  : CSE_E---1.7
% 1.29/1.72  % Problem  : theBenchmark.p
% 1.29/1.72  % SZS status Theorem for theBenchmark.p
% 1.29/1.72  % SZS output start CNFRefutation
% See solution above
% 1.29/1.72  % Total time : 1.374s
%------------------------------------------------------------------------------