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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : MED001+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 : Sun Sep 27 08:00:29 AM UTC 2026

% Result   : Theorem 141.79s 19.35s
% Output   : CNFRefutation 141.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   85 (   9 unt;   0 def)
%            Number of atoms       :  345 (   0 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  361 ( 101   ~; 215   |;  30   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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   :   87 (   0 sgn  39   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(xorcapacity4,axiom,
    ! [X0] :
      ( ~ bcapacitysn(X0)
      | ~ bcapacityex(X0) ),
    file('theBenchmark.p',xorcapacity4) ).

fof(xorcondition3,axiom,
    ! [X0] :
      ( ~ conditionnormo(X0)
      | ~ conditionhyper(X0) ),
    file('theBenchmark.p',xorcondition3) ).

fof(sulfonylurea_effect,axiom,
    ! [X0] :
      ( ( ~ bcapacityex(X0)
        & ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) ) ),
    file('theBenchmark.p',sulfonylurea_effect) ).

fof(sn_cure_1,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('theBenchmark.p',sn_cure_1) ).

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

fof(treatmentsn2_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(assume_negation,[status(cth)],[treatmentsn2]) ).

fof(nnf_13,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | bcapacityex(X0)
      | ? [X2] :
          ( ~ drugsu(X2)
          & ~ gt(X0,X2) ) ),
    inference(fof_nnf,[status(thm)],[sulfonylurea_effect]) ).

fof(sk_sulfonylurea_effect_sk,plain,
    ! [X0] :
      ( ! [X1] :
          ( bsecretioni(X1)
          | gt(X0,X1) )
      | bcapacityex(X0)
      | ( ~ drugsu(sK0(X0))
        & ~ gt(X0,sK0(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[nnf_13]) ).

fof(sk_sulfonylurea_effect,plain,
    ( ! [VAR_0,VAR_1] :
        ( bsecretioni(VAR_1)
        | gt(VAR_0,VAR_1)
        | bcapacityex(VAR_0)
        | ~ drugsu(sK0(VAR_0)) )
    & ! [VAR_0,VAR_1] :
        ( bsecretioni(VAR_1)
        | gt(VAR_0,VAR_1)
        | bcapacityex(VAR_0)
        | ~ gt(VAR_0,sK0(VAR_0)) ) ),
    inference(cnf_transformation,[status(thm)],[sk_sulfonylurea_effect_sk]) ).

cnf(c_63,plain,
    ( bsecretioni(B)
    | gt(A,B)
    | bcapacityex(A)
    | ~ drugsu(sK0(A)) ),
    inference(split_conjunct,[status(thm)],[sk_sulfonylurea_effect]) ).

cnf(c_64,plain,
    ( bsecretioni(B)
    | gt(A,B)
    | bcapacityex(A)
    | ~ gt(A,sK0(A)) ),
    inference(split_conjunct,[status(thm)],[sk_sulfonylurea_effect]) ).

cnf(c_65,plain,
    ( ~ bcapacitysn(A)
    | ~ bcapacityex(A) ),
    inference(clausify,[status(thm)],[xorcapacity4]) ).

cnf(c_68,plain,
    ( bsecretioni(B)
    | gt(A,B)
    | ~ drugsu(sK0(A))
    | ~ bcapacitysn(A) ),
    inference(resolve,[status(thm)],[c_65,c_63]) ).

fof(nnf_15,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X2] :
          ( ~ conditionhyper(X2)
          & gt(X0,X2) )
      | ~ qilt27(X0)
      | ~ bcapacitysn(X0)
      | ? [X3] :
          ( ~ bsecretioni(X3)
          & ~ gt(X0,X3) ) ),
    inference(fof_nnf,[status(thm)],[sn_cure_1]) ).

fof(sk_sn_cure_1_sk,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionnormo(X1)
          | gt(X0,X1) )
      | ( ~ conditionhyper(sK2(X0))
        & gt(X0,sK2(X0)) )
      | ~ qilt27(X0)
      | ~ bcapacitysn(X0)
      | ( ~ bsecretioni(sK1(X0))
        & ~ gt(X0,sK1(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0)),skolemize(X2,sK2(X0))],[nnf_15]) ).

fof(sk_sn_cure_1,plain,
    ( ! [VAR_0,VAR_1] :
        ( conditionnormo(VAR_1)
        | gt(VAR_0,VAR_1)
        | ~ conditionhyper(sK2(VAR_0))
        | ~ qilt27(VAR_0)
        | ~ bcapacitysn(VAR_0)
        | ~ bsecretioni(sK1(VAR_0)) )
    & ! [VAR_0,VAR_1] :
        ( conditionnormo(VAR_1)
        | gt(VAR_0,VAR_1)
        | gt(VAR_0,sK2(VAR_0))
        | ~ qilt27(VAR_0)
        | ~ bcapacitysn(VAR_0)
        | ~ bsecretioni(sK1(VAR_0)) )
    & ! [VAR_0,VAR_1] :
        ( conditionnormo(VAR_1)
        | gt(VAR_0,VAR_1)
        | ~ conditionhyper(sK2(VAR_0))
        | ~ qilt27(VAR_0)
        | ~ bcapacitysn(VAR_0)
        | ~ gt(VAR_0,sK1(VAR_0)) )
    & ! [VAR_0,VAR_1] :
        ( conditionnormo(VAR_1)
        | gt(VAR_0,VAR_1)
        | gt(VAR_0,sK2(VAR_0))
        | ~ qilt27(VAR_0)
        | ~ bcapacitysn(VAR_0)
        | ~ gt(VAR_0,sK1(VAR_0)) ) ),
    inference(cnf_transformation,[status(thm)],[sk_sn_cure_1_sk]) ).

cnf(c_196,plain,
    ( conditionnormo(B)
    | gt(A,B)
    | gt(A,sK2(A))
    | ~ qilt27(A)
    | ~ bcapacitysn(A)
    | ~ gt(A,sK1(A)) ),
    inference(split_conjunct,[status(thm)],[sk_sn_cure_1]) ).

cnf(c_197,plain,
    ( conditionnormo(B)
    | gt(A,B)
    | ~ conditionhyper(sK2(A))
    | ~ qilt27(A)
    | ~ bcapacitysn(A)
    | ~ gt(A,sK1(A)) ),
    inference(split_conjunct,[status(thm)],[sk_sn_cure_1]) ).

cnf(c_198,plain,
    ( conditionnormo(B)
    | gt(A,B)
    | gt(A,sK2(A))
    | ~ qilt27(A)
    | ~ bcapacitysn(A)
    | ~ bsecretioni(sK1(A)) ),
    inference(split_conjunct,[status(thm)],[sk_sn_cure_1]) ).

cnf(c_199,plain,
    ( conditionnormo(B)
    | gt(A,B)
    | ~ conditionhyper(sK2(A))
    | ~ qilt27(A)
    | ~ bcapacitysn(A)
    | ~ bsecretioni(sK1(A)) ),
    inference(split_conjunct,[status(thm)],[sk_sn_cure_1]) ).

fof(nnf_19,plain,
    ( ? [X0] :
        ( ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
    & qilt27(n0)
    & bcapacitysn(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & ! [X3] :
        ( drugsu(X3)
        | gt(n0,X3) ) ),
    inference(fof_nnf,[status(thm)],[treatmentsn2_neg]) ).

fof(sk_treatmentsn2_neg,plain,
    ( ~ conditionnormo(sK3)
    & ~ gt(n0,sK3)
    & qilt27(n0)
    & bcapacitysn(n0)
    & ! [X2] :
        ( conditionhyper(X2)
        | ~ gt(n0,X2) )
    & ! [X3] :
        ( drugsu(X3)
        | gt(n0,X3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[nnf_19]) ).

cnf(c_204,negated_conjecture,
    bcapacitysn(n0),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1041,negated_conjecture,
    ~ conditionnormo(sK3),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1042,negated_conjecture,
    ~ gt(n0,sK3),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1043,negated_conjecture,
    qilt27(n0),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1044,negated_conjecture,
    bcapacitysn(n0),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1045,negated_conjecture,
    ( conditionhyper(A)
    | ~ gt(n0,A) ),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1046,negated_conjecture,
    ( drugsu(A)
    | gt(n0,A) ),
    inference(split_conjunct,[status(thm)],[sk_treatmentsn2_neg]) ).

cnf(c_1063,plain,
    ( ~ conditionnormo(A)
    | ~ conditionhyper(A) ),
    inference(clausify,[status(thm)],[xorcondition3]) ).

cnf(c_1212,plain,
    ( bsecretioni(B)
    | gt(A,B)
    | ~ gt(A,sK0(A))
    | ~ bcapacitysn(A) ),
    inference(resolve,[status(thm)],[c_65,c_64]) ).

cnf(c_1658,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | ~ qilt27(n0)
    | ~ bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_204,c_199]) ).

cnf(c_1659,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | ~ bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_1043,c_1658]) ).

cnf(c_1660,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | ~ qilt27(n0)
    | ~ bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_204,c_198]) ).

cnf(c_1661,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | ~ bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_1043,c_1660]) ).

cnf(c_1662,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | ~ qilt27(n0)
    | ~ gt(n0,sK1(n0)) ),
    inference(resolve,[status(thm)],[c_204,c_197]) ).

cnf(c_1663,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | ~ gt(n0,sK1(n0)) ),
    inference(resolve,[status(thm)],[c_1043,c_1662]) ).

cnf(c_1664,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | ~ qilt27(n0)
    | ~ gt(n0,sK1(n0)) ),
    inference(resolve,[status(thm)],[c_204,c_196]) ).

cnf(c_1665,negated_conjecture,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | ~ gt(n0,sK1(n0)) ),
    inference(resolve,[status(thm)],[c_1043,c_1664]) ).

cnf(c_1667,negated_conjecture,
    ( bsecretioni(A)
    | gt(n0,A)
    | ~ drugsu(sK0(n0)) ),
    inference(resolve,[status(thm)],[c_204,c_68]) ).

cnf(c_4072,plain,
    ( conditionnormo(sK2(n0))
    | gt(n0,sK2(n0))
    | ~ bsecretioni(sK1(n0)) ),
    inference(factor,[status(thm)],[c_1661]) ).

cnf(c_4073,plain,
    ( conditionnormo(sK2(n0))
    | gt(n0,sK2(n0))
    | ~ gt(n0,sK1(n0)) ),
    inference(factor,[status(thm)],[c_1665]) ).

cnf(c_11603,negated_conjecture,
    ( drugsu(sK0(n0))
    | bsecretioni(A)
    | gt(n0,A)
    | ~ bcapacitysn(n0) ),
    inference(resolve,[status(thm)],[c_1212,c_1046]) ).

cnf(c_10148,negated_conjecture,
    ( drugsu(sK0(n0))
    | bsecretioni(A)
    | gt(n0,A) ),
    inference(resolve,[status(thm)],[c_1044,c_11603]) ).

cnf(c_10325,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_10148,c_1665]) ).

cnf(c_10326,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_10148,c_1663]) ).

cnf(c_11604,negated_conjecture,
    ( conditionnormo(sK3)
    | gt(n0,sK2(n0))
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_10325,c_1042]) ).

cnf(c_11106,negated_conjecture,
    ( gt(n0,sK2(n0))
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_1041,c_11604]) ).

cnf(c_11110,plain,
    ( conditionhyper(sK2(n0))
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11106,c_1045]) ).

cnf(c_11116,plain,
    ( bsecretioni(A)
    | gt(n0,A)
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11110,c_1667]) ).

cnf(c_11120,plain,
    ( gt(n0,sK1(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(factor,[status(thm)],[c_11116]) ).

cnf(c_11137,plain,
    ( conditionnormo(sK2(n0))
    | gt(n0,sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11120,c_4073]) ).

cnf(c_11138,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11120,c_1665]) ).

cnf(c_11605,negated_conjecture,
    ( conditionhyper(sK2(n0))
    | conditionnormo(sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11137,c_1045]) ).

cnf(c_11218,negated_conjecture,
    ( conditionnormo(sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(copy,[status(thm)],[c_11605]) ).

cnf(c_11606,plain,
    ( conditionnormo(sK2(n0))
    | gt(n0,sK2(n0))
    | conditionnormo(sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11218,c_4072]) ).

cnf(c_11219,plain,
    ( gt(n0,sK2(n0))
    | conditionnormo(sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(copy,[status(thm)],[c_11606]) ).

cnf(c_11607,negated_conjecture,
    ( conditionhyper(sK2(n0))
    | conditionnormo(sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11219,c_1045]) ).

cnf(c_11222,negated_conjecture,
    ( conditionnormo(sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(copy,[status(thm)],[c_11607]) ).

cnf(c_11224,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11222,c_10326]) ).

cnf(c_11608,negated_conjecture,
    ( conditionnormo(sK3)
    | drugsu(sK0(n0))
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11224,c_1042]) ).

cnf(c_11392,negated_conjecture,
    ( drugsu(sK0(n0))
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_1041,c_11608]) ).

cnf(c_11398,plain,
    ( bsecretioni(A)
    | gt(n0,A)
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11392,c_1667]) ).

cnf(c_11402,plain,
    ( gt(n0,sK1(n0))
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(factor,[status(thm)],[c_11398]) ).

cnf(c_11444,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11402,c_1663]) ).

cnf(c_11609,plain,
    ( conditionnormo(sK2(n0))
    | conditionnormo(A)
    | gt(n0,A)
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11444,c_11222]) ).

cnf(c_11536,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(copy,[status(thm)],[c_11609]) ).

cnf(c_11610,negated_conjecture,
    ( conditionnormo(sK3)
    | bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11536,c_1042]) ).

cnf(c_11544,negated_conjecture,
    ( bsecretioni(sK1(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_1041,c_11610]) ).

cnf(c_11546,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | ~ conditionhyper(sK2(n0))
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11544,c_1659]) ).

cnf(c_11611,plain,
    ( conditionnormo(sK2(n0))
    | conditionnormo(A)
    | gt(n0,A)
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11546,c_11222]) ).

cnf(c_11549,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | conditionnormo(sK2(n0)) ),
    inference(copy,[status(thm)],[c_11611]) ).

cnf(c_11612,negated_conjecture,
    ( conditionnormo(sK3)
    | conditionnormo(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11549,c_1042]) ).

cnf(c_11558,negated_conjecture,
    conditionnormo(sK2(n0)),
    inference(resolve,[status(thm)],[c_1041,c_11612]) ).

cnf(c_11613,negated_conjecture,
    ( conditionnormo(sK3)
    | gt(n0,sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11138,c_1042]) ).

cnf(c_11569,negated_conjecture,
    ( gt(n0,sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_1041,c_11613]) ).

cnf(c_11614,negated_conjecture,
    ( conditionhyper(sK2(n0))
    | conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(resolve,[status(thm)],[c_11569,c_1045]) ).

cnf(c_11572,negated_conjecture,
    ( conditionhyper(sK2(n0))
    | bsecretioni(sK1(n0)) ),
    inference(copy,[status(thm)],[c_11614]) ).

cnf(c_11573,plain,
    ( conditionnormo(A)
    | gt(n0,A)
    | gt(n0,sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11572,c_1661]) ).

cnf(c_11615,negated_conjecture,
    ( conditionnormo(sK3)
    | gt(n0,sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11573,c_1042]) ).

cnf(c_11585,negated_conjecture,
    ( gt(n0,sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_1041,c_11615]) ).

cnf(c_11616,negated_conjecture,
    ( conditionhyper(sK2(n0))
    | conditionhyper(sK2(n0)) ),
    inference(resolve,[status(thm)],[c_11585,c_1045]) ).

cnf(c_11588,negated_conjecture,
    conditionhyper(sK2(n0)),
    inference(copy,[status(thm)],[c_11616]) ).

cnf(c_11617,plain,
    ~ conditionnormo(sK2(n0)),
    inference(resolve,[status(thm)],[c_11588,c_1063]) ).

cnf(c_11602,plain,
    $false,
    inference(resolve,[status(thm)],[c_11558,c_11617]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MED001+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sat Sep 26 00:02:24 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36  % Process 2229807 was started by sandbox on n008,
% 0.09/0.36  % Sat Sep 26 00:02:24 2026
% 0.09/0.36  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37  
% 0.09/0.37  % From the command line: assign(max_seconds, 300).
% 141.79/19.35  
% 141.79/19.35  % given #500 (I,wt=37): 5095 -bsecretioni(f4(A)) | -qilt27(A) | gt(A,f5(A)) | gt(A,B) | conditionnormo(B) | -uptakelg(f12(A)) | -gt(A,f13(A)) | -conditionhyper(f14(A)) | conditionhypo(B) | -gt(A,f9(A)) | -gt(A,f10(A)) | -conditionhyper(f11(A)).  [factor(2249,d,m),merge(m)].
% 141.79/19.35  
% 141.79/19.35  % given #1000 (I,wt=35): 6620 -gt(A,f6(A)) | qilt27(A) | -conditionhyper(f7(A)) | gt(A,B) | conditionnormo(B) | -uptakelg(f12(A)) | -uptakepg(f13(A)) | -conditionhyper(f14(A)) | conditionhypo(B) | releaselg(f8(A)) | -bsecretioni(f10(A)) | gt(A,f11(A)).  [factor(3374,d,m),merge(m)].
% 141.79/19.35  
% 141.79/19.35  % given #1500 (I,wt=34): 8026 -gt(A,f6(A)) | qilt27(A) | gt(A,f7(A)) | conditionnormo(f7(A)) | -uptakelg(f12(A)) | -uptakepg(f13(A)) | -conditionhyper(f14(A)) | conditionhypo(f7(A)) | releaselg(f8(A)) | -bsecretioni(f10(A)) | -conditionhyper(f11(A)).  [factor(4348,c,l),merge(l)].
% 141.79/19.35  
% 141.79/19.35  % given #2000 (I,wt=36): 8749 -gt(A,f4(A)) | -qilt27(A) | -conditionhyper(f5(A)) | gt(A,f11(A)) | conditionnormo(f11(A)) | -uptakelg(f12(A)) | -uptakepg(f13(A)) | gt(A,f14(A)) | conditionhypo(f11(A)) | -gt(A,f9(A)) | -bsecretioni(f10(A)).  [factor(5531,d,l),merge(l)].
% 141.79/19.35  
% 141.79/19.35  % given #2500 (I,wt=37): 9516 -gt(A,f6(A)) | qilt27(A) | -conditionhyper(f7(A)) | gt(A,f11(A)) | conditionnormo(f11(A)) | -gt(A,f12(A)) | -gt(A,f13(A)) | -conditionhyper(f14(A)) | conditionhypo(f11(A)) | releaselg(f8(A)) | -gt(A,f10(A)).  [factor(6856,d,l),merge(l)].
% 141.79/19.35  
% 141.79/19.35  % given #3000 (T,wt=11): 10463 conditionhyper(f2(n0)) | bsecretioni(f3(n0)) | gt(n0,A) | -releaselg(A).  [resolve(10154,b,1056,a)].
% 141.79/19.35  
% 141.79/19.35  % SZS status Theorem for theBenchmark
% 141.79/19.35  
% 141.79/19.35  % Proof 1 at 15.56 (+ 3.32) seconds.
% 141.79/19.35  % Length of proof is 61.
% 141.79/19.35  % Level of proof is 23.
% 141.79/19.35  % Maximum clause weight is 15.000.
% 141.79/19.35  % Given clauses 3148.
% 141.79/19.35  
% 141.79/19.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------