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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : MED001+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:11:07 PM UTC 2026

% Result   : Theorem 16.45s 2.54s
% Output   : Proof 16.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   61 (   7 unt;   0 def)
%            Number of atoms       :  279 (   0 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  297 (  79   ~; 177   |;  26   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   64 (   0 sgn  27   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0] :
      ( ( ~ bcapacityex(X0)
        & ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sulfonylurea_effect) ).

fof(f12_nnf,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | bcapacityex(X0)
      | ? [X1] :
          ( ~ drugsu(X1)
          & ~ gt(X0,X1) ) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [X0,X1] :
      ( bsecretioni(X1)
      | gt(X0,X1)
      | bcapacityex(X0)
      | ( ~ drugsu(sk1(X0))
        & ~ gt(X0,sk1(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f12_nnf]) ).

cnf(c16,plain,
    ( bsecretioni(X1)
    | gt(X0,X1)
    | bcapacityex(X0)
    | ~ drugsu(sk1(X0)) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(c15,plain,
    ( bsecretioni(X1)
    | gt(X0,X1)
    | bcapacityex(X0)
    | ~ gt(X0,sk1(X0)) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

fof(f18,conjecture,
    ( ( qilt27(n0)
      & bcapacitysn(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & ! [X0] :
          ( ~ gt(n0,X0)
         => drugsu(X0) ) )
   => ! [X0] :
        ( ~ gt(n0,X0)
       => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',treatmentsn2) ).

fof(f18_neg,negated_conjecture,
    ~ ( ( qilt27(n0)
        & bcapacitysn(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ! [X0] :
            ( ~ gt(n0,X0)
           => drugsu(X0) ) )
     => ! [X0] :
          ( ~ gt(n0,X0)
         => conditionnormo(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f18_nnf,plain,
    ( ? [X0] :
        ( ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
    & qilt27(n0)
    & bcapacitysn(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ! [X0] :
        ( drugsu(X0)
        | gt(n0,X0) ) ),
    inference(nnf_transformation,[status(thm)],[f18_neg]) ).

fof(f18_sk,plain,
    ! [X0] :
      ( ~ conditionnormo(sk14)
      & ~ gt(n0,sk14)
      & qilt27(n0)
      & bcapacitysn(n0)
      & ( conditionhyper(X0)
        | ~ gt(n0,X0) )
      & ( drugsu(X0)
        | gt(n0,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk14])],[f18_nnf]) ).

cnf(c51,plain,
    ( drugsu(X0)
    | gt(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p73,plain,
    ( drugsu(sk1(n0))
    | bsecretioni(X0)
    | gt(n0,X0)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[c15,c51]) ).

cnf(p83,plain,
    ( bsecretioni(X1)
    | gt(n0,X1)
    | bcapacityex(n0)
    | bsecretioni(X0)
    | gt(n0,X0)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[c16,p73]) ).

cnf(p329,plain,
    ( bsecretioni(X0)
    | bcapacityex(n0)
    | bsecretioni(X0)
    | gt(n0,X0)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p83]) ).

cnf(p331,plain,
    ( bsecretioni(X0)
    | bsecretioni(X0)
    | gt(n0,X0)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p329]) ).

cnf(p347,plain,
    ( bsecretioni(X0)
    | gt(n0,X0)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p331]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & qilt27(X0)
        & bcapacitysn(X0)
        & ! [X1] :
            ( ~ gt(X0,X1)
           => bsecretioni(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sn_cure_1) ).

fof(f14_nnf,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
      | ~ qilt27(X0)
      | ~ bcapacitysn(X0)
      | ? [X1] :
          ( ~ bsecretioni(X1)
          & ~ gt(X0,X1) ) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [X0,X1] :
      ( conditionnormo(X1)
      | gt(X0,X1)
      | ( ~ conditionhyper(sk4(X0))
        & gt(X0,sk4(X0)) )
      | ~ qilt27(X0)
      | ~ bcapacitysn(X0)
      | ( ~ bsecretioni(sk3(X0))
        & ~ gt(X0,sk3(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4])],[f14_nnf]) ).

cnf(c19,plain,
    ( conditionnormo(X1)
    | gt(X0,X1)
    | gt(X0,sk4(X0))
    | ~ qilt27(X0)
    | ~ bcapacitysn(X0)
    | ~ gt(X0,sk3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p352,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | gt(n0,sk4(n0))
    | ~ qilt27(n0)
    | ~ bcapacitysn(n0)
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p347,c19]) ).

cnf(c53,plain,
    bcapacitysn(n0),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p1585,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | gt(n0,sk4(n0))
    | ~ qilt27(n0)
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p352,c53]) ).

cnf(c54,plain,
    qilt27(n0),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p1602,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | gt(n0,sk4(n0))
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p1585,c54]) ).

cnf(c55,plain,
    ~ gt(n0,sk14),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p1603,plain,
    ( conditionnormo(sk14)
    | gt(n0,sk4(n0))
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p1602,c55]) ).

cnf(c52,plain,
    ( conditionhyper(X0)
    | ~ gt(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p1616,plain,
    ( conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p1603,c52]) ).

cnf(c21,plain,
    ( conditionnormo(X1)
    | gt(X0,X1)
    | gt(X0,sk4(X0))
    | ~ qilt27(X0)
    | ~ bcapacitysn(X0)
    | ~ bsecretioni(sk3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p1620,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | gt(n0,sk4(n0))
    | ~ qilt27(n0)
    | ~ bcapacitysn(n0)
    | conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p1616,c21]) ).

cnf(p6753,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | gt(n0,sk4(n0))
    | ~ qilt27(n0)
    | conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p1620,c53]) ).

cnf(p6790,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | gt(n0,sk4(n0))
    | conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6753,c54]) ).

cnf(p6791,plain,
    ( conditionnormo(sk14)
    | gt(n0,sk4(n0))
    | conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6790,c55]) ).

cnf(p6804,plain,
    ( gt(n0,sk4(n0))
    | conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6791]) ).

cnf(p6805,plain,
    ( conditionhyper(sk4(n0))
    | conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6804,c52]) ).

cnf(p6809,plain,
    ( conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6805]) ).

cnf(c20,plain,
    ( conditionnormo(X1)
    | gt(X0,X1)
    | ~ conditionhyper(sk4(X0))
    | ~ qilt27(X0)
    | ~ bcapacitysn(X0)
    | ~ gt(X0,sk3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p353,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | ~ conditionhyper(sk4(n0))
    | ~ qilt27(n0)
    | ~ bcapacitysn(n0)
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p347,c20]) ).

cnf(p1383,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | ~ conditionhyper(sk4(n0))
    | ~ qilt27(n0)
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p353,c53]) ).

cnf(p1384,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | ~ conditionhyper(sk4(n0))
    | bsecretioni(sk3(n0))
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p1383,c54]) ).

cnf(p6815,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | bsecretioni(sk3(n0))
    | bcapacityex(n0)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6809,p1384]) ).

cnf(p6830,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | bsecretioni(sk3(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6815]) ).

cnf(p6831,plain,
    ( conditionnormo(sk14)
    | bsecretioni(sk3(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6830,c55]) ).

cnf(p6843,plain,
    ( bsecretioni(sk3(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6831]) ).

cnf(c22,plain,
    ( conditionnormo(X1)
    | gt(X0,X1)
    | ~ conditionhyper(sk4(X0))
    | ~ qilt27(X0)
    | ~ bcapacitysn(X0)
    | ~ bsecretioni(sk3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p6845,plain,
    ( conditionnormo(X0)
    | gt(n0,X0)
    | ~ conditionhyper(sk4(n0))
    | ~ qilt27(n0)
    | ~ bcapacitysn(n0)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6843,c22]) ).

cnf(p6872,plain,
    ( gt(n0,sk14)
    | ~ conditionhyper(sk4(n0))
    | ~ qilt27(n0)
    | ~ bcapacitysn(n0)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6845]) ).

cnf(p6874,plain,
    ( gt(n0,sk14)
    | ~ conditionhyper(sk4(n0))
    | ~ qilt27(n0)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6872,c53]) ).

cnf(p6876,plain,
    ( gt(n0,sk14)
    | ~ conditionhyper(sk4(n0))
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6874,c54]) ).

cnf(p6877,plain,
    ( conditionnormo(sk14)
    | bcapacityex(n0)
    | gt(n0,sk14)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6876,p6809]) ).

cnf(p6878,plain,
    ( conditionnormo(sk14)
    | gt(n0,sk14)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6877]) ).

cnf(p6880,plain,
    ( gt(n0,sk14)
    | conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(factoring,[status(thm)],[p6878]) ).

cnf(p6882,plain,
    ( conditionnormo(sk14)
    | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[p6880,c55]) ).

cnf(c56,plain,
    ~ conditionnormo(sk14),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p6883,plain,
    bcapacityex(n0),
    inference(resolution,[status(thm)],[p6882,c56]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ bcapacitysn(X0)
      | ~ bcapacityex(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xorcapacity4) ).

fof(f5_nnf,plain,
    ! [X0] :
      ( ~ bcapacitysn(X0)
      | ~ bcapacityex(X0) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X0] :
      ( ~ bcapacitysn(X0)
      | ~ bcapacityex(X0) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( ~ bcapacitysn(X0)
    | ~ bcapacityex(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p6884,plain,
    ~ bcapacitysn(n0),
    inference(resolution,[status(thm)],[p6883,c5]) ).

cnf(p6888,plain,
    $false,
    inference(resolution,[status(thm)],[p6884,c53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED001+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 00:56:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.45/2.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.45/2.54  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------