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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 : Thu Sep 24 08:50:29 AM UTC 2026

% Result   : Theorem 33.46s 33.75s
% Output   : Proof 33.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   84 (  34 unt;   0 def)
%            Number of atoms       :  269 (   0 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  313 ( 128   ~; 110   |;  60   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   81 (   0 sgn  52   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(insulin_effect,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( uptakepg(X1)
            & uptakelg(X1) ) ) ),
    file('MED001+0.ax',insulin_effect) ).

fof(ex_cure,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) )
        & bcapacityex(X0)
        & ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) )
        & ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => ( conditionhypo(X1)
            | conditionnormo(X1) ) ) ),
    file('MED001+0.ax',ex_cure) ).

fof(treatmentex,conjecture,
    ( ( bcapacityex(n0)
      & ! [X0] :
          ( gt(n0,X0)
         => conditionhyper(X0) )
      & ! [X0] :
          ( ~ gt(n0,X0)
         => drugi(X0) ) )
   => ! [X0] :
        ( ~ gt(n0,X0)
       => ( conditionhypo(X0)
          | conditionnormo(X0) ) ) ),
    file('theBenchmark.p',treatmentex) ).

fof(f_11_1,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( uptakepg(X1)
            & uptakelg(X1) )
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ drugi(X1)
          & ~ gt(X0,X1) ) ),
    inference(fof_nnf,[status(thm)],[insulin_effect]) ).

fof(f_11_2,plain,
    ! [U_14] :
      ( ! [U_13] :
          ( ( uptakepg(U_13)
            & uptakelg(U_13) )
          | gt(U_14,U_13) )
      | ? [U_12] :
          ( ~ drugi(U_12)
          & ~ gt(U_14,U_12) ) ),
    inference(variable_rename,[status(thm)],[f_11_1]) ).

fof(f_11_3,plain,
    ! [U_14] :
      ( ! [U_13] :
          ( ( uptakepg(U_13)
            & uptakelg(U_13) )
          | gt(U_14,U_13) )
      | ( ~ drugi(sK1(U_14))
        & ~ gt(U_14,sK1(U_14)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_12,sK1(U_14))],[f_11_2]) ).

fof(f_11_4,plain,
    ( ! [U_13] :
        ( uptakepg(U_13)
        | ~ sP1(U_13) )
    & ! [U_13] :
        ( uptakelg(U_13)
        | ~ sP1(U_13) )
    & ! [U_14] :
        ( ~ drugi(sK1(U_14))
        | ~ sP0(U_14) )
    & ! [U_14] :
        ( ~ gt(U_14,sK1(U_14))
        | ~ sP0(U_14) )
    & ! [U_13,U_14] :
        ( sP1(U_13)
        | gt(U_14,U_13)
        | sP0(U_14) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_11_3]) ).

cnf(f_11_5,plain,
    ( sP1(U_13)
    | gt(U_14,U_13)
    | sP0(U_14) ),
    inference(clausify,[status(thm)],[f_11_4]) ).

cnf(f_11_6,plain,
    ( ~ gt(U_14,sK1(U_14))
    | ~ sP0(U_14) ),
    inference(clausify,[status(thm)],[f_11_4]) ).

cnf(f_11_7,plain,
    ( ~ drugi(sK1(U_14))
    | ~ sP0(U_14) ),
    inference(clausify,[status(thm)],[f_11_4]) ).

cnf(f_11_8,plain,
    ( uptakelg(U_13)
    | ~ sP1(U_13) ),
    inference(clausify,[status(thm)],[f_11_4]) ).

cnf(f_11_9,plain,
    ( uptakepg(U_13)
    | ~ sP1(U_13) ),
    inference(clausify,[status(thm)],[f_11_4]) ).

fof(f_18_1,plain,
    ! [X0] :
      ( ! [X1] :
          ( conditionhypo(X1)
          | conditionnormo(X1)
          | gt(X0,X1) )
      | ? [X1] :
          ( ~ conditionhyper(X1)
          & gt(X0,X1) )
      | ~ bcapacityex(X0)
      | ? [X1] :
          ( ~ uptakepg(X1)
          & ~ gt(X0,X1) )
      | ? [X1] :
          ( ~ uptakelg(X1)
          & ~ gt(X0,X1) ) ),
    inference(fof_nnf,[status(thm)],[ex_cure]) ).

fof(f_18_2,plain,
    ! [U_41] :
      ( ! [U_40] :
          ( conditionhypo(U_40)
          | conditionnormo(U_40)
          | gt(U_41,U_40) )
      | ? [U_39] :
          ( ~ conditionhyper(U_39)
          & gt(U_41,U_39) )
      | ~ bcapacityex(U_41)
      | ? [U_38] :
          ( ~ uptakepg(U_38)
          & ~ gt(U_41,U_38) )
      | ? [U_37] :
          ( ~ uptakelg(U_37)
          & ~ gt(U_41,U_37) ) ),
    inference(variable_rename,[status(thm)],[f_18_1]) ).

fof(f_18_3,plain,
    ! [U_41] :
      ( ! [U_40] :
          ( conditionhypo(U_40)
          | conditionnormo(U_40)
          | gt(U_41,U_40) )
      | ? [U_39] :
          ( ~ conditionhyper(U_39)
          & gt(U_41,U_39) )
      | ~ bcapacityex(U_41)
      | ? [U_38] :
          ( ~ uptakepg(U_38)
          & ~ gt(U_41,U_38) )
      | ( ~ uptakelg(sK12(U_41))
        & ~ gt(U_41,sK12(U_41)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_37,sK12(U_41))],[f_18_2]) ).

fof(f_18_4,plain,
    ! [U_41] :
      ( ! [U_40] :
          ( conditionhypo(U_40)
          | conditionnormo(U_40)
          | gt(U_41,U_40) )
      | ? [U_39] :
          ( ~ conditionhyper(U_39)
          & gt(U_41,U_39) )
      | ~ bcapacityex(U_41)
      | ( ~ uptakepg(sK13(U_41))
        & ~ gt(U_41,sK13(U_41)) )
      | ( ~ uptakelg(sK12(U_41))
        & ~ gt(U_41,sK12(U_41)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_38,sK13(U_41))],[f_18_3]) ).

fof(f_18_5,plain,
    ! [U_41] :
      ( ! [U_40] :
          ( conditionhypo(U_40)
          | conditionnormo(U_40)
          | gt(U_41,U_40) )
      | ( ~ conditionhyper(sK14(U_41))
        & gt(U_41,sK14(U_41)) )
      | ~ bcapacityex(U_41)
      | ( ~ uptakepg(sK13(U_41))
        & ~ gt(U_41,sK13(U_41)) )
      | ( ~ uptakelg(sK12(U_41))
        & ~ gt(U_41,sK12(U_41)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_39,sK14(U_41))],[f_18_4]) ).

fof(f_18_6,plain,
    ( ! [U_41] :
        ( ~ conditionhyper(sK14(U_41))
        | ~ sP13(U_41) )
    & ! [U_41] :
        ( gt(U_41,sK14(U_41))
        | ~ sP13(U_41) )
    & ! [U_41] :
        ( ~ uptakepg(sK13(U_41))
        | ~ sP12(U_41) )
    & ! [U_41] :
        ( ~ gt(U_41,sK13(U_41))
        | ~ sP12(U_41) )
    & ! [U_41] :
        ( ~ uptakelg(sK12(U_41))
        | ~ sP11(U_41) )
    & ! [U_41] :
        ( ~ gt(U_41,sK12(U_41))
        | ~ sP11(U_41) )
    & ! [U_41,U_40] :
        ( conditionhypo(U_40)
        | conditionnormo(U_40)
        | gt(U_41,U_40)
        | sP13(U_41)
        | ~ bcapacityex(U_41)
        | sP12(U_41)
        | sP11(U_41) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP11,sP12,sP13])],[f_18_5]) ).

cnf(f_18_7,plain,
    ( conditionhypo(U_40)
    | conditionnormo(U_40)
    | gt(U_41,U_40)
    | sP13(U_41)
    | ~ bcapacityex(U_41)
    | sP12(U_41)
    | sP11(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

cnf(f_18_8,plain,
    ( ~ gt(U_41,sK12(U_41))
    | ~ sP11(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

cnf(f_18_9,plain,
    ( ~ uptakelg(sK12(U_41))
    | ~ sP11(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

cnf(f_18_10,plain,
    ( ~ gt(U_41,sK13(U_41))
    | ~ sP12(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

cnf(f_18_11,plain,
    ( ~ uptakepg(sK13(U_41))
    | ~ sP12(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

cnf(f_18_12,plain,
    ( gt(U_41,sK14(U_41))
    | ~ sP13(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

cnf(f_18_13,plain,
    ( ~ conditionhyper(sK14(U_41))
    | ~ sP13(U_41) ),
    inference(clausify,[status(thm)],[f_18_6]) ).

fof(f_19_1,negated_conjecture,
    ( ~ ! [X0] :
          ( ~ gt(n0,X0)
         => ( conditionhypo(X0)
            | conditionnormo(X0) ) )
    & bcapacityex(n0)
    & ! [X0] :
        ( gt(n0,X0)
       => conditionhyper(X0) )
    & ! [X0] :
        ( ~ gt(n0,X0)
       => drugi(X0) ) ),
    inference(negate,[status(cth)],[treatmentex]) ).

fof(f_19_2,negated_conjecture,
    ( ? [X0] :
        ( ~ conditionhypo(X0)
        & ~ conditionnormo(X0)
        & ~ gt(n0,X0) )
    & bcapacityex(n0)
    & ! [X0] :
        ( conditionhyper(X0)
        | ~ gt(n0,X0) )
    & ! [X0] :
        ( drugi(X0)
        | gt(n0,X0) ) ),
    inference(fof_nnf,[status(thm)],[f_19_1]) ).

fof(f_19_3,negated_conjecture,
    ( ? [U_44] :
        ( ~ conditionhypo(U_44)
        & ~ conditionnormo(U_44)
        & ~ gt(n0,U_44) )
    & bcapacityex(n0)
    & ! [U_43] :
        ( conditionhyper(U_43)
        | ~ gt(n0,U_43) )
    & ! [U_42] :
        ( drugi(U_42)
        | gt(n0,U_42) ) ),
    inference(variable_rename,[status(thm)],[f_19_2]) ).

fof(f_19_4,negated_conjecture,
    ( ~ conditionhypo(sK15)
    & ~ conditionnormo(sK15)
    & ~ gt(n0,sK15)
    & bcapacityex(n0)
    & ! [U_43] :
        ( conditionhyper(U_43)
        | ~ gt(n0,U_43) )
    & ! [U_42] :
        ( drugi(U_42)
        | gt(n0,U_42) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_44,sK15)],[f_19_3]) ).

fof(f_19_5,negated_conjecture,
    ( ~ conditionhypo(sK15)
    & ~ conditionnormo(sK15)
    & ~ gt(n0,sK15)
    & bcapacityex(n0)
    & ! [U_43] :
        ( conditionhyper(U_43)
        | ~ gt(n0,U_43) )
    & ! [U_42] :
        ( drugi(U_42)
        | gt(n0,U_42) ) ),
    inference(definitional_conversion,[status(esa)],[f_19_4]) ).

cnf(f_19_6,negated_conjecture,
    ( drugi(U_42)
    | gt(n0,U_42) ),
    inference(clausify,[status(thm)],[f_19_5]) ).

cnf(f_19_7,negated_conjecture,
    ( conditionhyper(U_43)
    | ~ gt(n0,U_43) ),
    inference(clausify,[status(thm)],[f_19_5]) ).

cnf(f_19_8,negated_conjecture,
    bcapacityex(n0),
    inference(clausify,[status(thm)],[f_19_5]) ).

cnf(f_19_9,negated_conjecture,
    ~ gt(n0,sK15),
    inference(clausify,[status(thm)],[f_19_5]) ).

cnf(f_19_10,negated_conjecture,
    ~ conditionnormo(sK15),
    inference(clausify,[status(thm)],[f_19_5]) ).

cnf(f_19_11,negated_conjecture,
    ~ conditionhypo(sK15),
    inference(clausify,[status(thm)],[f_19_5]) ).

cnf(t1,plain,
    bcapacityex(n0),
    inference(start,[status(thm),parent(0:0)],[f_19_8]) ).

cnf(t2,plain,
    ( sP12(n0)
    | conditionhypo(sK15)
    | sP13(n0)
    | gt(n0,sK15)
    | conditionnormo(sK15)
    | sP11(n0)
    | ~ bcapacityex(n0) ),
    inference(extension,[status(thm),parent(t1:1)],[f_18_7]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ gt(n0,sK12(n0))
    | ~ sP11(n0) ),
    inference(extension,[status(thm),parent(t2:2)],[f_18_8]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    ( sP1(sK12(n0))
    | sP0(n0)
    | gt(n0,sK12(n0)) ),
    inference(extension,[status(thm),parent(t4:2)],[f_11_5]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ drugi(sK1(n0))
    | ~ sP0(n0) ),
    inference(extension,[status(thm),parent(t6:2)],[f_11_7]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    ( gt(n0,sK1(n0))
    | drugi(sK1(n0)) ),
    inference(extension,[status(thm),parent(t8:2)],[f_19_6]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ sP0(n0)
    | ~ gt(n0,sK1(n0)) ),
    inference(extension,[status(thm),parent(t10:2)],[f_11_6]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    $false,
    inference(reduction,[status(thm),parent(t12:2)],[t12:2,t6:2]) ).

cnf(t15,plain,
    ( uptakelg(sK12(n0))
    | ~ sP1(sK12(n0)) ),
    inference(extension,[status(thm),parent(t6:3)],[f_11_8]) ).

cnf(t16,plain,
    $false,
    inference(connection,[status(thm),parent(t15:1)],[t15:1,t6:3]) ).

cnf(t17,plain,
    ( ~ sP11(n0)
    | ~ uptakelg(sK12(n0)) ),
    inference(extension,[status(thm),parent(t15:2)],[f_18_9]) ).

cnf(t18,plain,
    $false,
    inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).

cnf(t19,plain,
    $false,
    inference(reduction,[status(thm),parent(t17:2)],[t17:2,t2:2]) ).

cnf(t20,plain,
    ~ conditionnormo(sK15),
    inference(extension,[status(thm),parent(t2:3)],[f_19_10]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:3]) ).

cnf(t22,plain,
    ~ gt(n0,sK15),
    inference(extension,[status(thm),parent(t2:4)],[f_19_9]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:4]) ).

cnf(t24,plain,
    ( ~ conditionhyper(sK14(n0))
    | ~ sP13(n0) ),
    inference(extension,[status(thm),parent(t2:5)],[f_18_13]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:5]) ).

cnf(t26,plain,
    ( ~ gt(n0,sK14(n0))
    | conditionhyper(sK14(n0)) ),
    inference(extension,[status(thm),parent(t24:2)],[f_19_7]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).

cnf(t28,plain,
    ( ~ sP13(n0)
    | gt(n0,sK14(n0)) ),
    inference(extension,[status(thm),parent(t26:2)],[f_18_12]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).

cnf(t30,plain,
    $false,
    inference(reduction,[status(thm),parent(t28:2)],[t28:2,t2:5]) ).

cnf(t31,plain,
    ~ conditionhypo(sK15),
    inference(extension,[status(thm),parent(t2:6)],[f_19_11]) ).

cnf(t32,plain,
    $false,
    inference(connection,[status(thm),parent(t31:1)],[t31:1,t2:6]) ).

cnf(t33,plain,
    ( ~ gt(n0,sK13(n0))
    | ~ sP12(n0) ),
    inference(extension,[status(thm),parent(t2:7)],[f_18_10]) ).

cnf(t34,plain,
    $false,
    inference(connection,[status(thm),parent(t33:1)],[t33:1,t2:7]) ).

cnf(t35,plain,
    ( sP1(sK13(n0))
    | sP0(n0)
    | gt(n0,sK13(n0)) ),
    inference(extension,[status(thm),parent(t33:2)],[f_11_5]) ).

cnf(t36,plain,
    $false,
    inference(connection,[status(thm),parent(t35:1)],[t35:1,t33:2]) ).

cnf(t37,plain,
    ( ~ drugi(sK1(n0))
    | ~ sP0(n0) ),
    inference(extension,[status(thm),parent(t35:2)],[f_11_7]) ).

cnf(t38,plain,
    $false,
    inference(connection,[status(thm),parent(t37:1)],[t37:1,t35:2]) ).

cnf(t39,plain,
    ( gt(n0,sK1(n0))
    | drugi(sK1(n0)) ),
    inference(extension,[status(thm),parent(t37:2)],[f_19_6]) ).

cnf(t40,plain,
    $false,
    inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).

cnf(t41,plain,
    ( ~ sP0(n0)
    | ~ gt(n0,sK1(n0)) ),
    inference(extension,[status(thm),parent(t39:2)],[f_11_6]) ).

cnf(t42,plain,
    $false,
    inference(connection,[status(thm),parent(t41:1)],[t41:1,t39:2]) ).

cnf(t43,plain,
    $false,
    inference(reduction,[status(thm),parent(t41:2)],[t41:2,t35:2]) ).

cnf(t44,plain,
    ( uptakepg(sK13(n0))
    | ~ sP1(sK13(n0)) ),
    inference(extension,[status(thm),parent(t35:3)],[f_11_9]) ).

cnf(t45,plain,
    $false,
    inference(connection,[status(thm),parent(t44:1)],[t44:1,t35:3]) ).

cnf(t46,plain,
    ( ~ sP12(n0)
    | ~ uptakepg(sK13(n0)) ),
    inference(extension,[status(thm),parent(t44:2)],[f_18_11]) ).

cnf(t47,plain,
    $false,
    inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).

cnf(t48,plain,
    $false,
    inference(reduction,[status(thm),parent(t46:2)],[t46:2,t2:7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MED003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n020.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep 19 16:10:01 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 33.46/33.75  % SZS status Theorem for theBenchmark
% 33.46/33.75  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------