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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT007+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 : n006.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 04:47:04 PM UTC 2026

% Result   : Theorem 1.28s 1.73s
% Output   : CNFRefutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   48 (  13 unt;   0 def)
%            Number of atoms       :  295 (   0 equ)
%            Maximal formula atoms :   31 (   6 avg)
%            Number of connectives :  421 ( 174   ~; 186   |;  53   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  169 (  14 sgn  69   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(a6_FOL,hypothesis,
    ! [X1,X8,X9,X10,X11,X6,X7,X14,X15] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & reorganization(X1,X14,X15)
        & reliability(X1,X8,X6)
        & reliability(X1,X9,X7)
        & accountability(X1,X10,X6)
        & accountability(X1,X11,X7)
        & ~ greater(X14,X6)
        & greater(X7,X6)
        & ~ greater(X7,X15) )
     => ( greater(X8,X9)
        & greater(X10,X11) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL) ).

fof(t7_FOL,conjecture,
    ! [X1,X12,X13,X6,X7,X14,X15] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & reorganization(X1,X14,X15)
        & reproducibility(X1,X12,X6)
        & reproducibility(X1,X13,X7)
        & ~ greater(X14,X6)
        & greater(X7,X6)
        & ~ greater(X7,X15) )
     => greater(X12,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_FOL) ).

fof(mp2,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X4] : accountability(X1,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2) ).

fof(mp1,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : reliability(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1) ).

fof(a2_FOL,hypothesis,
    ! [X1,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ( organization(X1,X6)
        & organization(X5,X7)
        & reliability(X1,X8,X6)
        & reliability(X5,X9,X7)
        & accountability(X1,X10,X6)
        & accountability(X5,X11,X7)
        & reproducibility(X1,X12,X6)
        & reproducibility(X5,X13,X7) )
     => ( greater(X13,X12)
      <=> ( greater(X9,X8)
          & greater(X11,X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).

fof(c_0_5,hypothesis,
    ! [X1,X8,X9,X10,X11,X6,X7,X14,X15] :
      ( ( organization(X1,X6)
        & organization(X1,X7)
        & reorganization(X1,X14,X15)
        & reliability(X1,X8,X6)
        & reliability(X1,X9,X7)
        & accountability(X1,X10,X6)
        & accountability(X1,X11,X7)
        & ~ greater(X14,X6)
        & greater(X7,X6)
        & ~ greater(X7,X15) )
     => ( greater(X8,X9)
        & greater(X10,X11) ) ),
    inference(fof_simplification,[status(thm)],[a6_FOL]) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1,X12,X13,X6,X7,X14,X15] :
        ( ( organization(X1,X6)
          & organization(X1,X7)
          & reorganization(X1,X14,X15)
          & reproducibility(X1,X12,X6)
          & reproducibility(X1,X13,X7)
          & ~ greater(X14,X6)
          & greater(X7,X6)
          & ~ greater(X7,X15) )
       => greater(X12,X13) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_FOL])]) ).

fof(c_0_7,hypothesis,
    ! [X70,X71,X72,X73,X74,X75,X76,X77,X78] :
      ( ( greater(X71,X72)
        | ~ organization(X70,X75)
        | ~ organization(X70,X76)
        | ~ reorganization(X70,X77,X78)
        | ~ reliability(X70,X71,X75)
        | ~ reliability(X70,X72,X76)
        | ~ accountability(X70,X73,X75)
        | ~ accountability(X70,X74,X76)
        | greater(X77,X75)
        | ~ greater(X76,X75)
        | greater(X76,X78) )
      & ( greater(X73,X74)
        | ~ organization(X70,X75)
        | ~ organization(X70,X76)
        | ~ reorganization(X70,X77,X78)
        | ~ reliability(X70,X71,X75)
        | ~ reliability(X70,X72,X76)
        | ~ accountability(X70,X73,X75)
        | ~ accountability(X70,X74,X76)
        | greater(X77,X75)
        | ~ greater(X76,X75)
        | greater(X76,X78) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_8,negated_conjecture,
    ( organization(esk4_0,esk7_0)
    & organization(esk4_0,esk8_0)
    & reorganization(esk4_0,esk9_0,esk10_0)
    & reproducibility(esk4_0,esk5_0,esk7_0)
    & reproducibility(esk4_0,esk6_0,esk8_0)
    & ~ greater(esk9_0,esk7_0)
    & greater(esk8_0,esk7_0)
    & ~ greater(esk8_0,esk10_0)
    & ~ greater(esk5_0,esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

cnf(c_0_9,hypothesis,
    ( greater(X1,X2)
    | greater(X6,X4)
    | greater(X5,X7)
    | ~ organization(X3,X4)
    | ~ organization(X3,X5)
    | ~ reorganization(X3,X6,X7)
    | ~ reliability(X3,X8,X4)
    | ~ reliability(X3,X9,X5)
    | ~ accountability(X3,X1,X4)
    | ~ accountability(X3,X2,X5)
    | ~ greater(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    reorganization(esk4_0,esk9_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X54,X55] :
      ( ~ organization(X54,X55)
      | accountability(X54,esk2_2(X54,X55),X55) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp2])])]) ).

cnf(c_0_12,negated_conjecture,
    ( greater(X1,esk10_0)
    | greater(esk9_0,X2)
    | greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ accountability(esk4_0,X4,X1)
    | ~ accountability(esk4_0,X3,X2)
    | ~ reliability(esk4_0,X5,X1)
    | ~ reliability(esk4_0,X6,X2)
    | ~ organization(esk4_0,X1)
    | ~ organization(esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( accountability(X1,esk2_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( greater(X1,esk2_2(esk4_0,X2))
    | greater(esk9_0,X3)
    | greater(X2,esk10_0)
    | ~ greater(X2,X3)
    | ~ accountability(esk4_0,X1,X3)
    | ~ reliability(esk4_0,X4,X2)
    | ~ reliability(esk4_0,X5,X3)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_15,plain,
    ! [X51,X52] :
      ( ~ organization(X51,X52)
      | reliability(X51,esk1_2(X51,X52),X52) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1])])]) ).

cnf(c_0_16,negated_conjecture,
    ( greater(esk2_2(esk4_0,X1),esk2_2(esk4_0,X2))
    | greater(X2,esk10_0)
    | greater(esk9_0,X1)
    | ~ greater(X2,X1)
    | ~ reliability(esk4_0,X3,X2)
    | ~ reliability(esk4_0,X4,X1)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_17,plain,
    ( reliability(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,hypothesis,
    ! [X60,X61,X62,X63,X64,X65,X66,X67,X68,X69] :
      ( ( greater(X65,X64)
        | ~ greater(X69,X68)
        | ~ organization(X60,X62)
        | ~ organization(X61,X63)
        | ~ reliability(X60,X64,X62)
        | ~ reliability(X61,X65,X63)
        | ~ accountability(X60,X66,X62)
        | ~ accountability(X61,X67,X63)
        | ~ reproducibility(X60,X68,X62)
        | ~ reproducibility(X61,X69,X63) )
      & ( greater(X67,X66)
        | ~ greater(X69,X68)
        | ~ organization(X60,X62)
        | ~ organization(X61,X63)
        | ~ reliability(X60,X64,X62)
        | ~ reliability(X61,X65,X63)
        | ~ accountability(X60,X66,X62)
        | ~ accountability(X61,X67,X63)
        | ~ reproducibility(X60,X68,X62)
        | ~ reproducibility(X61,X69,X63) )
      & ( ~ greater(X65,X64)
        | ~ greater(X67,X66)
        | greater(X69,X68)
        | ~ organization(X60,X62)
        | ~ organization(X61,X63)
        | ~ reliability(X60,X64,X62)
        | ~ reliability(X61,X65,X63)
        | ~ accountability(X60,X66,X62)
        | ~ accountability(X61,X67,X63)
        | ~ reproducibility(X60,X68,X62)
        | ~ reproducibility(X61,X69,X63) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_FOL])])]) ).

cnf(c_0_19,negated_conjecture,
    ( greater(esk2_2(esk4_0,X1),esk2_2(esk4_0,X2))
    | greater(esk9_0,X1)
    | greater(X2,esk10_0)
    | ~ greater(X2,X1)
    | ~ reliability(esk4_0,X3,X1)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,hypothesis,
    ( greater(X1,X2)
    | greater(X6,X4)
    | greater(X5,X7)
    | ~ organization(X3,X4)
    | ~ organization(X3,X5)
    | ~ reorganization(X3,X6,X7)
    | ~ reliability(X3,X1,X4)
    | ~ reliability(X3,X2,X5)
    | ~ accountability(X3,X8,X4)
    | ~ accountability(X3,X9,X5)
    | ~ greater(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,hypothesis,
    ( greater(X5,X6)
    | ~ greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ organization(X7,X8)
    | ~ organization(X9,X10)
    | ~ reliability(X7,X2,X8)
    | ~ reliability(X9,X1,X10)
    | ~ accountability(X7,X4,X8)
    | ~ accountability(X9,X3,X10)
    | ~ reproducibility(X7,X6,X8)
    | ~ reproducibility(X9,X5,X10) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    reproducibility(esk4_0,esk5_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_23,negated_conjecture,
    organization(esk4_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,negated_conjecture,
    ( greater(esk2_2(esk4_0,X1),esk2_2(esk4_0,X2))
    | greater(X2,esk10_0)
    | greater(esk9_0,X1)
    | ~ greater(X2,X1)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    organization(esk4_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_26,negated_conjecture,
    ~ greater(esk8_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(X1,esk10_0)
    | greater(esk9_0,X2)
    | greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ accountability(esk4_0,X5,X1)
    | ~ accountability(esk4_0,X6,X2)
    | ~ reliability(esk4_0,X4,X1)
    | ~ reliability(esk4_0,X3,X2)
    | ~ organization(esk4_0,X1)
    | ~ organization(esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_10]) ).

cnf(c_0_28,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ greater(X2,X3)
    | ~ greater(X4,X5)
    | ~ reproducibility(X6,X1,X7)
    | ~ accountability(esk4_0,X2,esk7_0)
    | ~ accountability(X6,X3,X7)
    | ~ reliability(esk4_0,X4,esk7_0)
    | ~ reliability(X6,X5,X7)
    | ~ organization(X6,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_29,negated_conjecture,
    ( greater(esk2_2(esk4_0,X1),esk2_2(esk4_0,esk8_0))
    | greater(esk9_0,X1)
    | ~ greater(esk8_0,X1)
    | ~ organization(esk4_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    greater(esk8_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,negated_conjecture,
    ~ greater(esk9_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_32,negated_conjecture,
    ( greater(esk9_0,X1)
    | greater(X2,esk10_0)
    | greater(X3,X4)
    | ~ greater(X2,X1)
    | ~ accountability(esk4_0,X5,X1)
    | ~ reliability(esk4_0,X4,X2)
    | ~ reliability(esk4_0,X3,X1)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_13]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ greater(esk2_2(esk4_0,esk7_0),X2)
    | ~ greater(X3,X4)
    | ~ reproducibility(X5,X1,X6)
    | ~ accountability(X5,X2,X6)
    | ~ reliability(esk4_0,X3,esk7_0)
    | ~ reliability(X5,X4,X6)
    | ~ organization(X5,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_23])]) ).

cnf(c_0_34,negated_conjecture,
    greater(esk2_2(esk4_0,esk7_0),esk2_2(esk4_0,esk8_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_23])]),c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( greater(X1,esk10_0)
    | greater(esk9_0,X2)
    | greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ reliability(esk4_0,X4,X1)
    | ~ reliability(esk4_0,X3,X2)
    | ~ organization(esk4_0,X1)
    | ~ organization(esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_13]) ).

cnf(c_0_36,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ greater(X2,X3)
    | ~ reproducibility(X4,X1,X5)
    | ~ accountability(X4,esk2_2(esk4_0,esk8_0),X5)
    | ~ reliability(esk4_0,X2,esk7_0)
    | ~ reliability(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( greater(X1,esk1_2(esk4_0,X2))
    | greater(esk9_0,X3)
    | greater(X2,esk10_0)
    | ~ greater(X2,X3)
    | ~ reliability(esk4_0,X1,X3)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_17]) ).

cnf(c_0_38,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ greater(X2,X3)
    | ~ reproducibility(esk4_0,X1,esk8_0)
    | ~ reliability(esk4_0,X2,esk7_0)
    | ~ reliability(esk4_0,X3,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_25])]) ).

cnf(c_0_39,negated_conjecture,
    reproducibility(esk4_0,esk6_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40,negated_conjecture,
    ~ greater(esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41,negated_conjecture,
    ( greater(esk1_2(esk4_0,X1),esk1_2(esk4_0,X2))
    | greater(X2,esk10_0)
    | greater(esk9_0,X1)
    | ~ greater(X2,X1)
    | ~ organization(esk4_0,X2)
    | ~ organization(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_17]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ greater(X1,X2)
    | ~ reliability(esk4_0,X1,esk7_0)
    | ~ reliability(esk4_0,X2,esk8_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ( greater(esk1_2(esk4_0,X1),esk1_2(esk4_0,esk8_0))
    | greater(esk9_0,X1)
    | ~ greater(esk8_0,X1)
    | ~ organization(esk4_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_25]),c_0_26]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ greater(esk1_2(esk4_0,esk7_0),X1)
    | ~ reliability(esk4_0,X1,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_17]),c_0_23])]) ).

cnf(c_0_45,negated_conjecture,
    greater(esk1_2(esk4_0,esk7_0),esk1_2(esk4_0,esk8_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_23])]),c_0_31]) ).

cnf(c_0_46,negated_conjecture,
    ~ reliability(esk4_0,esk1_2(esk4_0,esk8_0),esk8_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_17]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT007+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 : n006.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 23:26:31 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.28/1.73  % Version  : CSE_E---1.7
% 1.28/1.73  % Problem  : theBenchmark.p
% 1.28/1.73  % SZS status Theorem for theBenchmark.p
% 1.28/1.73  % SZS output start CNFRefutation
% See solution above
% 1.28/1.73  % Total time : 1.374s
%------------------------------------------------------------------------------