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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : MED008+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n023.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 : Fri Jul 25 11:03:02 AM UTC 2025

% Result   : Theorem 192.81s 24.51s
% Output   : CNFRefutation 192.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   71 (  13 unt;   0 def)
%            Number of atoms       :  207 (   0 equ)
%            Maximal formula atoms :   30 (   2 avg)
%            Number of connectives :  232 (  96   ~;  86   |;  19   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-12 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  134 (  58 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(unsuccessfuls1_qige27,plain,
    ( ( s1(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & ~ bcapacitysn(n0)
      & ~ qilt27(n0) )
   => ~ ! [X0] :
          ( ~ gt(n0,X0)
         => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

fof(unsuccessfuls1_qige27_negated,plain,
    ~ ( ( s1(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ~ bcapacitysn(n0)
        & ~ qilt27(n0) )
     => ~ ! [X0] :
            ( ~ gt(n0,X0)
           => conditionnormo(X0) ) ),
    inference(negate_conjecture,[status(cth)],[unsuccessfuls1_qige27]) ).

cnf(100,plain,
    ( ~ gt(n0,X0)
    | conditionhyper(X0) ),
    inference(cnf,[status(esa)],[unsuccessfuls1_qige27_negated]) ).

cnf(l0,plain,
    ( ~ gt(n0,sK16(n0))
    | conditionhyper(sK16(n0)) ),
    inference(instantiation,[status(thm)],[100]) ).

fof(xorcondition3,plain,
    ! [X0] :
      ( ~ conditionhyper(X0)
      | ~ conditionnormo(X0) ),
    file('Axioms/MED001+0.ax',xorcondition3) ).

cnf(8,plain,
    ( ~ conditionhyper(X0)
    | ~ conditionnormo(X0) ),
    inference(cnf,[status(esa)],[xorcondition3]) ).

cnf(l4204,plain,
    ( ~ conditionhyper(sK16(n0))
    | ~ conditionnormo(sK16(n0)) ),
    inference(instantiation,[status(thm)],[8]) ).

cnf(103,plain,
    ( gt(n0,X0)
    | conditionnormo(X0) ),
    inference(cnf,[status(esa)],[unsuccessfuls1_qige27_negated]) ).

cnf(l4205,plain,
    ( gt(n0,sK16(n0))
    | conditionnormo(sK16(n0)) ),
    inference(instantiation,[status(thm)],[103]) ).

fof(insulin_completion,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) )
        | ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) ) ),
    file('Axioms/MED001+1.ax',insulin_completion) ).

cnf(77,plain,
    ( ~ gt(X0,sK16(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf,[status(esa)],[insulin_completion]) ).

cnf(l4210,plain,
    ( ~ gt(n0,sK16(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[77]) ).

fof(irreflexivity_gt,plain,
    ! [X] : ~ gt(X,X),
    file('Axioms/MED001+0.ax',irreflexivity_gt) ).

cnf(0,plain,
    ~ gt(X0,X0),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

cnf(l4251,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[0]) ).

fof(uptake_completion,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( ~ releaselg(X1)
       => uptakelg(X1) ) ),
    file('Axioms/MED001+1.ax',uptake_completion) ).

cnf(81,plain,
    ( gt(X0,X1)
    | uptakelg(X1)
    | releaselg(X1) ),
    inference(cnf,[status(esa)],[uptake_completion]) ).

cnf(l1,plain,
    ( gt(n0,sK16(n0))
    | uptakelg(sK16(n0))
    | releaselg(sK16(n0)) ),
    inference(instantiation,[status(thm)],[81]) ).

fof(normo,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & bcapacitysn(X0)
          & qilt27(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) )
          & bcapacitysn(X0)
          & ~ qilt27(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ( ! [X1] :
                ( ~ gt(X0,X1)
               => ~ releaselg(X1) )
            | ! [X1] :
                ( ~ gt(X0,X1)
               => uptakepg(X1) ) )
          & bcapacityne(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ! [X1] :
              ( ~ gt(X0,X1)
             => uptakelg(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakepg(X1) )
          & bcapacityex(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) ) ) ),
    file('Axioms/MED001+1.ax',normo) ).

cnf(61,plain,
    ( ~ releaselg(X0)
    | gt(X1,X0)
    | gt(X1,X2)
    | uptakepg(X2)
    | ~ sP8(X2,X0,X3,X1,X4) ),
    inference(cnf,[status(esa)],[normo]) ).

cnf(l140,plain,
    ( ~ releaselg(sK16(n0))
    | gt(n0,sK16(n0))
    | gt(n0,sK17(n0))
    | uptakepg(sK17(n0))
    | ~ sP8(sK17(n0),sK16(n0),X8_5548,n0,X9_5548) ),
    inference(instantiation,[status(thm)],[61]) ).

cnf(80,plain,
    ( ~ uptakepg(sK17(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf,[status(esa)],[insulin_completion]) ).

cnf(l1243,plain,
    ( ~ uptakepg(sK17(n0))
    | gt(n0,sK1(n0))
    | drugi(sK1(n0)) ),
    inference(instantiation,[status(thm)],[80]) ).

cnf(52,plain,
    ( sP7(X0,X1,X2)
    | bcapacitysn(X2)
    | sP9(X3,X2,X4,X5)
    | sP8(X6,X7,X8,X2,X9)
    | ~ sP10(X0,X1,X6,X7,X2,X10,X11,X3,X8,X9,X4,X5) ),
    inference(cnf,[status(esa)],[normo]) ).

cnf(l1239,plain,
    ( sP7(X1_5548,X2_5548,n0)
    | bcapacitysn(n0)
    | sP9(X7_5548,n0,X10_5548,sK16(n0))
    | sP8(sK17(n0),sK16(n0),X8_5548,n0,X9_5548)
    | ~ sP10(X1_5548,X2_5548,sK17(n0),sK16(n0),n0,X5_5548,X6_5548,X7_5548,X8_5548,X9_5548,X10_5548,sK16(n0)) ),
    inference(instantiation,[status(thm)],[52]) ).

cnf(64,plain,
    ( bcapacitysn(X0)
    | ~ sP7(X1,X2,X0) ),
    inference(cnf,[status(esa)],[normo]) ).

cnf(l1240,plain,
    ( bcapacitysn(n0)
    | ~ sP7(X1_5548,X2_5548,n0) ),
    inference(instantiation,[status(thm)],[64]) ).

cnf(79,plain,
    ( ~ gt(X0,sK17(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf,[status(esa)],[insulin_completion]) ).

cnf(l1294,plain,
    ( ~ gt(n0,sK17(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[79]) ).

cnf(101,plain,
    ~ bcapacitysn(n0),
    inference(cnf,[status(esa)],[unsuccessfuls1_qige27_negated]) ).

cnf(l1263,plain,
    ~ bcapacitysn(n0),
    inference(instantiation,[status(thm)],[101]) ).

fof(insulincomp,plain,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    file('Axioms/MED001+1.ax',insulincomp) ).

cnf(76,plain,
    ( ~ drugi(X0)
    | s3(X0) ),
    inference(cnf,[status(esa)],[insulincomp]) ).

cnf(l1295,plain,
    ( ~ drugi(n0)
    | s3(n0) ),
    inference(instantiation,[status(thm)],[76]) ).

fof(insulin_effect,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( uptakelg(X1)
            & uptakepg(X1) ) ) ),
    file('Axioms/MED001+0.ax',insulin_effect) ).

cnf(11,plain,
    ( ~ drugi(sK1(X0))
    | sP0(X0,X1) ),
    inference(cnf,[status(esa)],[insulin_effect]) ).

cnf(l1246,plain,
    ( ~ drugi(sK1(n0))
    | sP0(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(57,plain,
    ( gt(X0,X1)
    | uptakelg(X1)
    | ~ sP9(X2,X0,X3,X1) ),
    inference(cnf,[status(esa)],[normo]) ).

cnf(l3037,plain,
    ( gt(n0,sK16(n0))
    | uptakelg(sK16(n0))
    | ~ sP9(X7_5548,n0,X10_5548,sK16(n0)) ),
    inference(instantiation,[status(thm)],[57]) ).

cnf(48,plain,
    ( ~ gt(X0,sK15(X0))
    | sP10(X1,X2,X3,X4,X0,X5,X6,X7,X8,X9,X10,X11) ),
    inference(cnf,[status(esa)],[normo]) ).

cnf(l5504,plain,
    ( ~ gt(n0,sK15(n0))
    | sP10(X1_5548,X2_5548,sK17(n0),sK16(n0),n0,X5_5548,X6_5548,X7_5548,X8_5548,X9_5548,X10_5548,sK16(n0)) ),
    inference(instantiation,[status(thm)],[48]) ).

cnf(13,plain,
    ( gt(X0,X1)
    | uptakelg(X1)
    | ~ sP0(X0,X1) ),
    inference(cnf,[status(esa)],[insulin_effect]) ).

cnf(l1247,plain,
    ( gt(n0,sK16(n0))
    | uptakelg(sK16(n0))
    | ~ sP0(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l1296,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[0]) ).

cnf(78,plain,
    ( ~ uptakelg(sK16(X0))
    | gt(X0,X1)
    | drugi(X1) ),
    inference(cnf,[status(esa)],[insulin_completion]) ).

cnf(l558,plain,
    ( ~ uptakelg(sK16(n0))
    | gt(n0,n0)
    | drugi(n0) ),
    inference(instantiation,[status(thm)],[78]) ).

cnf(l4236,plain,
    ( ~ drugi(n0)
    | s3(n0) ),
    inference(instantiation,[status(thm)],[76]) ).

fof(xorstep6,plain,
    ! [X0] :
      ( ~ s1(X0)
      | ~ s3(X0) ),
    file('Axioms/MED001+1.ax',xorstep6) ).

cnf(46,plain,
    ( ~ s3(X0)
    | ~ s1(X0) ),
    inference(cnf,[status(esa)],[xorstep6]) ).

cnf(l4238,plain,
    ( ~ s3(n0)
    | ~ s1(n0) ),
    inference(instantiation,[status(thm)],[46]) ).

cnf(l559,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l5505,plain,
    ( gt(n0,sK15(n0))
    | conditionnormo(sK15(n0)) ),
    inference(instantiation,[status(thm)],[103]) ).

cnf(l1471,plain,
    ~ bcapacitysn(n0),
    inference(instantiation,[status(thm)],[101]) ).

cnf(49,plain,
    ( ~ conditionnormo(sK15(X0))
    | sP10(X1,X2,X3,X4,X0,X5,X6,X7,X8,X9,X10,X11) ),
    inference(cnf,[status(esa)],[normo]) ).

cnf(l5548,plain,
    ( ~ conditionnormo(sK15(n0))
    | sP10(X1_5548,X2_5548,sK17(n0),sK16(n0),n0,X5_5548,X6_5548,X7_5548,X8_5548,X9_5548,X10_5548,sK16(n0)) ),
    inference(instantiation,[status(thm)],[49]) ).

cnf(99,plain,
    s1(n0),
    inference(cnf,[status(esa)],[unsuccessfuls1_qige27_negated]) ).

cnf(l4630,plain,
    s1(n0),
    inference(instantiation,[status(thm)],[99]) ).

fof(liver_glucose,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( uptakelg(X1)
       => ~ releaselg(X1) ) ),
    file('Axioms/MED001+0.ax',liver_glucose) ).

cnf(14,plain,
    ( ~ uptakelg(X0)
    | ~ releaselg(X0)
    | gt(X1,X0) ),
    inference(cnf,[status(esa)],[liver_glucose]) ).

cnf(l3538,plain,
    ( ~ uptakelg(sK16(n0))
    | ~ releaselg(sK16(n0))
    | gt(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l1474,plain,
    ( ~ s3(n0)
    | ~ s1(n0) ),
    inference(instantiation,[status(thm)],[46]) ).

cnf(l3277,plain,
    ( ~ uptakelg(sK16(n0))
    | ~ releaselg(sK16(n0))
    | gt(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l1055,plain,
    ( ~ drugi(n0)
    | s3(n0) ),
    inference(instantiation,[status(thm)],[76]) ).

cnf(l1475,plain,
    s1(n0),
    inference(instantiation,[status(thm)],[99]) ).

cnf(l1056,plain,
    ( ~ s3(n0)
    | ~ s1(n0) ),
    inference(instantiation,[status(thm)],[46]) ).

cnf(l1101,plain,
    s1(n0),
    inference(instantiation,[status(thm)],[99]) ).

cnf(10,plain,
    ( ~ gt(X0,sK1(X0))
    | sP0(X0,X1) ),
    inference(cnf,[status(esa)],[insulin_effect]) ).

cnf(l1249,plain,
    ( ~ gt(n0,sK1(n0))
    | sP0(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l1255,plain,
    ( gt(n0,sK16(n0))
    | uptakelg(sK16(n0))
    | ~ sP0(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l1266,plain,
    ( ~ uptakelg(sK16(n0))
    | ~ releaselg(sK16(n0))
    | gt(n0,sK16(n0)) ),
    inference(instantiation,[status(thm)],[14]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l4204,l4205,l4210,l4251,l1,l140,l1243,l1239,l1240,l1294,l1263,l1295,l1246,l3037,l5504,l1247,l1296,l558,l4236,l4238,l559,l5505,l1471,l5548,l4630,l3538,l1474,l3277,l1055,l1475,l1056,l1101,l1249,l1255,l1266]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MED008+1 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Jul 21 07:13:49 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.34  % launching worker at depth: 9
% 0.13/0.36  % launching worker at depth: 10
% 0.20/0.42  % launching worker at depth: 11
% 3.63/0.78  % launching worker at depth: 12
% 24.65/3.46  % launching worker at depth: 13
% 192.81/24.51  % SZS status Theorem for theBenchmark
% 192.81/24.51  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------