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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MED006+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n027.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 04:47:01 PM UTC 2026

% Result   : Theorem 1.52s 1.78s
% Output   : CNFRefutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   95 (  12 unt;   0 def)
%            Number of atoms       :  796 (   0 equ)
%            Maximal formula atoms :  400 (   8 avg)
%            Number of connectives :  998 ( 297   ~; 514   |; 120   &)
%                                         (   1 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   80 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  179 (   4 sgn 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(normo,axiom,
    ! [X4] :
      ( ! [X5] :
          ( ~ gt(X4,X5)
         => conditionnormo(X5) )
     => ( ( ! [X5] :
              ( ~ gt(X4,X5)
             => bsecretioni(X5) )
          & bcapacitysn(X4)
          & qilt27(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ! [X5] :
              ( ~ gt(X4,X5)
             => ~ releaselg(X5) )
          & bcapacitysn(X4)
          & ~ qilt27(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ( ! [X5] :
                ( ~ gt(X4,X5)
               => ~ releaselg(X5) )
            | ! [X5] :
                ( ~ gt(X4,X5)
               => uptakepg(X5) ) )
          & bcapacityne(X4)
          & ! [X5] :
              ( ~ gt(X4,X5)
             => bsecretioni(X5) )
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ! [X5] :
              ( ~ gt(X4,X5)
             => uptakelg(X5) )
          & ! [X5] :
              ( ~ gt(X4,X5)
             => uptakepg(X5) )
          & bcapacityex(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',normo) ).

fof(unsuccessfuls1_qilt27,conjecture,
    ( ( s1(n0)
      & ! [X4] :
          ( gt(n0,X4)
         => conditionhyper(X4) )
      & ~ bcapacitysn(n0)
      & qilt27(n0) )
   => ~ ! [X4] :
          ( ~ gt(n0,X4)
         => conditionnormo(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unsuccessfuls1_qilt27) ).

fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).

fof(bg_completion,axiom,
    ! [X4] :
      ( ! [X5] :
          ( ~ gt(X4,X5)
         => ~ releaselg(X5) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => drugbg(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',bg_completion) ).

fof(liver_glucose,axiom,
    ! [X4,X5] :
      ( ~ gt(X4,X5)
     => ( uptakelg(X5)
       => ~ releaselg(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',liver_glucose) ).

fof(xorcondition3,axiom,
    ! [X4] :
      ( ~ conditionhyper(X4)
      | ~ conditionnormo(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcondition3) ).

fof(uptake_completion,axiom,
    ! [X4,X5] :
      ( ~ gt(X4,X5)
     => ( ~ releaselg(X5)
       => uptakelg(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',uptake_completion) ).

fof(xorstep5,axiom,
    ! [X4] :
      ( ~ s1(X4)
      | ~ s2(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',xorstep5) ).

fof(insulin_completion,axiom,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => uptakelg(X5) )
        | ! [X5] :
            ( ~ gt(X4,X5)
           => uptakepg(X5) ) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => drugi(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',insulin_completion) ).

fof(bgcomp,axiom,
    ! [X4] :
      ( drugbg(X4)
     => ( ( s1(X4)
          & ~ qilt27(X4) )
        | s2(X4)
        | s3(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',bgcomp) ).

fof(xorstep6,axiom,
    ! [X4] :
      ( ~ s1(X4)
      | ~ s3(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',xorstep6) ).

fof(insulincomp,axiom,
    ! [X4] :
      ( drugi(X4)
     => s3(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax',insulincomp) ).

fof(c_0_12,plain,
    ! [X4] :
      ( epred1_1(X4)
    <=> ( ( ! [X5] :
              ( ~ gt(X4,X5)
             => bsecretioni(X5) )
          & bcapacitysn(X4)
          & qilt27(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ! [X5] :
              ( ~ gt(X4,X5)
             => ~ releaselg(X5) )
          & bcapacitysn(X4)
          & ~ qilt27(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ( ! [X5] :
                ( ~ gt(X4,X5)
               => ~ releaselg(X5) )
            | ! [X5] :
                ( ~ gt(X4,X5)
               => uptakepg(X5) ) )
          & bcapacityne(X4)
          & ! [X5] :
              ( ~ gt(X4,X5)
             => bsecretioni(X5) )
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) ) ) ),
    introduced(definition) ).

fof(c_0_13,plain,
    ! [X4] :
      ( ! [X5] :
          ( ~ gt(X4,X5)
         => conditionnormo(X5) )
     => ( epred1_1(X4)
        | ( ! [X5] :
              ( ~ gt(X4,X5)
             => uptakelg(X5) )
          & ! [X5] :
              ( ~ gt(X4,X5)
             => uptakepg(X5) )
          & bcapacityex(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[normo]),c_0_12]) ).

fof(c_0_14,negated_conjecture,
    ~ ( ( s1(n0)
        & ! [X4] :
            ( gt(n0,X4)
           => conditionhyper(X4) )
        & ~ bcapacitysn(n0)
        & qilt27(n0) )
     => ~ ! [X4] :
            ( ~ gt(n0,X4)
           => conditionnormo(X4) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[unsuccessfuls1_qilt27])]) ).

fof(c_0_15,plain,
    ! [X151,X153,X154,X155] :
      ( ( gt(X151,X153)
        | uptakelg(X153)
        | epred1_1(X151)
        | ~ gt(X151,esk15_1(X151)) )
      & ( gt(X151,X154)
        | uptakepg(X154)
        | epred1_1(X151)
        | ~ gt(X151,esk15_1(X151)) )
      & ( bcapacityex(X151)
        | epred1_1(X151)
        | ~ gt(X151,esk15_1(X151)) )
      & ( ~ gt(X151,X155)
        | conditionhyper(X155)
        | epred1_1(X151)
        | ~ gt(X151,esk15_1(X151)) )
      & ( gt(X151,X153)
        | uptakelg(X153)
        | epred1_1(X151)
        | ~ conditionnormo(esk15_1(X151)) )
      & ( gt(X151,X154)
        | uptakepg(X154)
        | epred1_1(X151)
        | ~ conditionnormo(esk15_1(X151)) )
      & ( bcapacityex(X151)
        | epred1_1(X151)
        | ~ conditionnormo(esk15_1(X151)) )
      & ( ~ gt(X151,X155)
        | conditionhyper(X155)
        | epred1_1(X151)
        | ~ conditionnormo(esk15_1(X151)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

fof(c_0_16,negated_conjecture,
    ! [X187,X188] :
      ( s1(n0)
      & ( ~ gt(n0,X187)
        | conditionhyper(X187) )
      & ~ bcapacitysn(n0)
      & qilt27(n0)
      & ( gt(n0,X188)
        | conditionnormo(X188) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_17,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).

fof(c_0_18,plain,
    ! [X4] :
      ( ! [X5] :
          ( ~ gt(X4,X5)
         => ~ releaselg(X5) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => drugbg(X5) ) ),
    inference(fof_simplification,[status(thm)],[bg_completion]) ).

cnf(c_0_19,plain,
    ( conditionhyper(X2)
    | epred1_1(X1)
    | ~ gt(X1,X2)
    | ~ conditionnormo(esk15_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( gt(n0,X1)
    | conditionnormo(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    ( gt(X1,X2)
    | uptakelg(X2)
    | epred1_1(X1)
    | ~ conditionnormo(esk15_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_22,plain,
    ! [X4,X5] :
      ( ~ gt(X4,X5)
     => ( uptakelg(X5)
       => ~ releaselg(X5) ) ),
    inference(fof_simplification,[status(thm)],[liver_glucose]) ).

fof(c_0_23,plain,
    ! [X102] : ~ gt(X102,X102),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

fof(c_0_24,plain,
    ! [X172,X174] :
      ( ( ~ gt(X172,esk19_1(X172))
        | gt(X172,X174)
        | drugbg(X174) )
      & ( releaselg(esk19_1(X172))
        | gt(X172,X174)
        | drugbg(X174) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).

cnf(c_0_25,negated_conjecture,
    ( epred1_1(X1)
    | conditionhyper(X2)
    | gt(n0,esk15_1(X1))
    | ~ gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( epred1_1(X1)
    | uptakelg(X2)
    | gt(n0,esk15_1(X1))
    | gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

fof(c_0_27,plain,
    ! [X117,X118] :
      ( gt(X117,X118)
      | ~ uptakelg(X118)
      | ~ releaselg(X118) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).

cnf(c_0_28,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ( releaselg(esk19_1(X1))
    | gt(X1,X2)
    | drugbg(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    ( gt(X1,X2)
    | uptakelg(X2)
    | epred1_1(X1)
    | ~ gt(X1,esk15_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_31,negated_conjecture,
    ( epred1_1(X1)
    | uptakelg(X2)
    | conditionhyper(X2)
    | gt(n0,esk15_1(X1)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_32,plain,
    ! [X4] :
      ( ~ conditionhyper(X4)
      | ~ conditionnormo(X4) ),
    inference(fof_simplification,[status(thm)],[xorcondition3]) ).

cnf(c_0_33,plain,
    ( gt(X1,X2)
    | ~ uptakelg(X2)
    | ~ releaselg(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( drugbg(X1)
    | releaselg(esk19_1(X1)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ( epred1_1(n0)
    | uptakelg(X1)
    | uptakelg(X2)
    | conditionhyper(X1)
    | gt(n0,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( conditionhyper(X1)
    | ~ gt(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_37,plain,
    ! [X112] :
      ( ~ conditionhyper(X112)
      | ~ conditionnormo(X112) ),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    ( drugbg(X1)
    | gt(X2,esk19_1(X1))
    | ~ uptakelg(esk19_1(X1)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ( epred1_1(n0)
    | uptakelg(X1)
    | conditionhyper(X1) ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_35]),c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ conditionhyper(X1)
    | ~ conditionnormo(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( epred1_1(n0)
    | drugbg(X1)
    | conditionhyper(esk19_1(X1))
    | gt(X2,esk19_1(X1)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_42,plain,
    ! [X4,X5] :
      ( ~ gt(X4,X5)
     => ( ~ releaselg(X5)
       => uptakelg(X5) ) ),
    inference(fof_simplification,[status(thm)],[uptake_completion]) ).

cnf(c_0_43,negated_conjecture,
    ( gt(n0,X1)
    | ~ conditionhyper(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_20]) ).

cnf(c_0_44,negated_conjecture,
    ( epred1_1(n0)
    | drugbg(X1)
    | conditionhyper(esk19_1(X1)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_41]) ).

fof(c_0_45,plain,
    ! [X4] :
      ( ~ s1(X4)
      | ~ s2(X4) ),
    inference(fof_simplification,[status(thm)],[xorstep5]) ).

fof(c_0_46,plain,
    ! [X4] :
      ( ( ! [X5] :
            ( ~ gt(X4,X5)
           => uptakelg(X5) )
        | ! [X5] :
            ( ~ gt(X4,X5)
           => uptakepg(X5) ) )
     => ! [X5] :
          ( ~ gt(X4,X5)
         => drugi(X5) ) ),
    inference(fof_simplification,[status(thm)],[insulin_completion]) ).

fof(c_0_47,plain,
    ! [X167,X168] :
      ( gt(X167,X168)
      | releaselg(X168)
      | uptakelg(X168) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).

fof(c_0_48,plain,
    ! [X4] :
      ( drugbg(X4)
     => ( ( s1(X4)
          & ~ qilt27(X4) )
        | s2(X4)
        | s3(X4) ) ),
    inference(fof_simplification,[status(thm)],[bgcomp]) ).

cnf(c_0_49,plain,
    ( gt(X1,X2)
    | drugbg(X2)
    | ~ gt(X1,esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_50,negated_conjecture,
    ( epred1_1(n0)
    | drugbg(X1)
    | gt(n0,esk19_1(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_51,plain,
    ! [X148] :
      ( ~ s1(X148)
      | ~ s2(X148) ),
    inference(variable_rename,[status(thm)],[c_0_45]) ).

fof(c_0_52,plain,
    ! [X163,X166] :
      ( ( ~ gt(X163,esk16_1(X163))
        | gt(X163,X166)
        | drugi(X166) )
      & ( ~ uptakelg(esk16_1(X163))
        | gt(X163,X166)
        | drugi(X166) )
      & ( ~ gt(X163,esk17_1(X163))
        | gt(X163,X166)
        | drugi(X166) )
      & ( ~ uptakepg(esk17_1(X163))
        | gt(X163,X166)
        | drugi(X166) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])]) ).

cnf(c_0_53,plain,
    ( gt(X1,X2)
    | releaselg(X2)
    | uptakelg(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_54,plain,
    ! [X4] :
      ( epred1_1(X4)
     => ( ( ! [X5] :
              ( ~ gt(X4,X5)
             => bsecretioni(X5) )
          & bcapacitysn(X4)
          & qilt27(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ! [X5] :
              ( ~ gt(X4,X5)
             => ~ releaselg(X5) )
          & bcapacitysn(X4)
          & ~ qilt27(X4)
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) )
        | ( ( ! [X5] :
                ( ~ gt(X4,X5)
               => ~ releaselg(X5) )
            | ! [X5] :
                ( ~ gt(X4,X5)
               => uptakepg(X5) ) )
          & bcapacityne(X4)
          & ! [X5] :
              ( ~ gt(X4,X5)
             => bsecretioni(X5) )
          & ! [X5] :
              ( gt(X4,X5)
             => conditionhyper(X5) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_12]) ).

fof(c_0_55,plain,
    ! [X4] :
      ( ~ s1(X4)
      | ~ s3(X4) ),
    inference(fof_simplification,[status(thm)],[xorstep6]) ).

fof(c_0_56,plain,
    ! [X160] :
      ( ( s1(X160)
        | s2(X160)
        | s3(X160)
        | ~ drugbg(X160) )
      & ( ~ qilt27(X160)
        | s2(X160)
        | s3(X160)
        | ~ drugbg(X160) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).

cnf(c_0_57,negated_conjecture,
    ( epred1_1(n0)
    | drugbg(n0)
    | drugbg(X1)
    | gt(n0,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_58,plain,
    ( ~ s1(X1)
    | ~ s2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    s1(n0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_60,plain,
    ! [X162] :
      ( ~ drugi(X162)
      | s3(X162) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[insulincomp])]) ).

cnf(c_0_61,plain,
    ( gt(X1,X2)
    | drugi(X2)
    | ~ uptakelg(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_62,plain,
    ( releaselg(X1)
    | uptakelg(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_53]) ).

fof(c_0_63,plain,
    ! [X189,X190,X191,X192,X193,X194,X195,X196,X197] :
      ( ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | bcapacitysn(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | bcapacitysn(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | bcapacitysn(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | bcapacitysn(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ qilt27(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ qilt27(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ qilt27(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ qilt27(X189)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | gt(X189,X190)
        | bsecretioni(X190)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | bcapacitysn(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | bcapacitysn(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | bcapacitysn(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | bcapacitysn(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ qilt27(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ qilt27(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ qilt27(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ qilt27(X189)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | bcapacitysn(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | bcapacitysn(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | bcapacitysn(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | bcapacitysn(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | bcapacitysn(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ qilt27(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ qilt27(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ qilt27(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ qilt27(X189)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | qilt27(X189)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | gt(X189,X192)
        | ~ releaselg(X192)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | bcapacitysn(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | bcapacitysn(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | bcapacitysn(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | bcapacitysn(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ qilt27(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ qilt27(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ qilt27(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ qilt27(X189)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X194)
        | ~ releaselg(X194)
        | gt(X189,X195)
        | uptakepg(X195)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( bcapacityne(X189)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( gt(X189,X196)
        | bsecretioni(X196)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) )
      & ( ~ gt(X189,X197)
        | conditionhyper(X197)
        | ~ gt(X189,X193)
        | conditionhyper(X193)
        | ~ gt(X189,X191)
        | conditionhyper(X191)
        | ~ epred1_1(X189) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).

fof(c_0_64,plain,
    ! [X149] :
      ( ~ s1(X149)
      | ~ s3(X149) ),
    inference(variable_rename,[status(thm)],[c_0_55]) ).

cnf(c_0_65,plain,
    ( s2(X1)
    | s3(X1)
    | ~ qilt27(X1)
    | ~ drugbg(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( epred1_1(n0)
    | drugbg(n0) ),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_57]),c_0_28]) ).

cnf(c_0_67,negated_conjecture,
    qilt27(n0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_68,negated_conjecture,
    ~ s2(n0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_69,plain,
    ( s3(X1)
    | ~ drugi(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_70,plain,
    ( releaselg(esk16_1(X1))
    | drugi(X2)
    | gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_71,plain,
    ( gt(X1,X2)
    | gt(X1,X3)
    | uptakepg(X3)
    | bcapacitysn(X1)
    | bcapacitysn(X1)
    | ~ releaselg(X2)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_72,plain,
    ( ~ s1(X1)
    | ~ s3(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_73,negated_conjecture,
    ( epred1_1(n0)
    | s3(n0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]),c_0_68]) ).

cnf(c_0_74,plain,
    ( s3(X1)
    | releaselg(esk16_1(X2))
    | gt(X2,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,plain,
    ( bcapacitysn(X1)
    | uptakepg(X3)
    | gt(X1,X3)
    | gt(X1,X2)
    | ~ releaselg(X2)
    | ~ epred1_1(X1) ),
    inference(cn,[status(thm)],[c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    epred1_1(n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_59])]) ).

cnf(c_0_77,negated_conjecture,
    ~ bcapacitysn(n0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_78,plain,
    ( releaselg(esk16_1(X1))
    | gt(X1,X2)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    ( uptakepg(X1)
    | gt(n0,X2)
    | gt(n0,X1)
    | ~ releaselg(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    ( releaselg(esk16_1(X1))
    | gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_59]) ).

cnf(c_0_81,plain,
    ( gt(X1,X2)
    | drugi(X2)
    | ~ gt(X1,esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_82,negated_conjecture,
    ( uptakepg(X1)
    | gt(n0,esk16_1(X2))
    | gt(X2,n0)
    | gt(n0,X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    ( uptakepg(X1)
    | drugi(X2)
    | gt(n0,X1)
    | gt(n0,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_28]) ).

cnf(c_0_84,negated_conjecture,
    ( s3(X1)
    | uptakepg(X2)
    | gt(n0,X1)
    | gt(n0,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_83]) ).

cnf(c_0_85,negated_conjecture,
    ( uptakepg(X1)
    | gt(n0,X1)
    | gt(n0,X2)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_84]) ).

cnf(c_0_86,plain,
    ( gt(X1,X2)
    | drugi(X2)
    | ~ uptakepg(esk17_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_87,negated_conjecture,
    ( uptakepg(X1)
    | gt(n0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_59]),c_0_28]) ).

cnf(c_0_88,negated_conjecture,
    ( drugi(X1)
    | gt(n0,esk17_1(X2))
    | gt(X2,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_89,plain,
    ( gt(X1,X2)
    | drugi(X2)
    | ~ gt(X1,esk17_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_90,negated_conjecture,
    ( drugi(X1)
    | gt(n0,esk17_1(X1)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    ( drugi(n0)
    | drugi(X1)
    | gt(n0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_92,negated_conjecture,
    drugi(n0),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_91]),c_0_28]) ).

cnf(c_0_93,negated_conjecture,
    s3(n0),
    inference(spm,[status(thm)],[c_0_69,c_0_92]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_93]),c_0_59])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MED006+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32  % Computer : n027.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon May  4 23:25:20 EDT 2026
% 0.13/0.32  % CPUTime    : 
% 0.13/0.33  % start to proof: theBenchmark
% 1.52/1.78  % Version  : CSE_E---1.7
% 1.52/1.78  % Problem  : theBenchmark.p
% 1.52/1.78  % SZS status Theorem for theBenchmark.p
% 1.52/1.78  % SZS output start CNFRefutation
% See solution above
% 1.52/1.78  % Total time : 1.372s
%------------------------------------------------------------------------------