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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : MED001+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n003.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 : Wed Apr  9 07:41:05 PM UTC 2025

% Result   : Theorem 7.49s 2.79s
% Output   : CNFRefutation 7.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   99 (  37 unt;   0 typ;   0 def)
%            Number of atoms       :  294 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  306 ( 111   ~; 177   |;   7   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-1 aty)
%            Number of variables   :   83 (  83   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ gt > uptakepg > uptakelg > releaselg > qilt27 > drugsu > drugi > drugbg > conditionnormo > conditionhypo > conditionhyper > bsecretioni > bcapacitysn > bcapacityne > bcapacityex > #nlpp > n0 > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_15 > #skF_1 > #skF_8 > #skF_10 > #skF_13 > #skF_3 > #skF_11 > #skF_14 > #skF_12 > #skF_6

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(bsecretioni,type,
    bsecretioni: $i > $o ).

tff(conditionnormo,type,
    conditionnormo: $i > $o ).

tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff('#skF_5',type,
    '#skF_5': $i > $i ).

tff(conditionhypo,type,
    conditionhypo: $i > $o ).

tff('#skF_2',type,
    '#skF_2': $i > $i ).

tff('#skF_4',type,
    '#skF_4': $i > $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff(drugi,type,
    drugi: $i > $o ).

tff(releaselg,type,
    releaselg: $i > $o ).

tff(drugbg,type,
    drugbg: $i > $o ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

tff(bcapacityex,type,
    bcapacityex: $i > $o ).

tff(bcapacityne,type,
    bcapacityne: $i > $o ).

tff(drugsu,type,
    drugsu: $i > $o ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff(uptakepg,type,
    uptakepg: $i > $o ).

tff(qilt27,type,
    qilt27: $i > $o ).

tff(n0,type,
    n0: $i ).

tff(gt,type,
    gt: ( $i * $i ) > $o ).

tff(bcapacitysn,type,
    bcapacitysn: $i > $o ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff(uptakelg,type,
    uptakelg: $i > $o ).

tff('#skF_3',type,
    '#skF_3': $i > $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff('#skF_6',type,
    '#skF_6': $i > $i ).

tff(conditionhyper,type,
    conditionhyper: $i > $o ).

tff(f_283,negated_conjecture,
    ~ ( ( ! [X0] :
            ( ~ gt(n0,X0)
           => drugsu(X0) )
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & bcapacitysn(n0)
        & qilt27(n0) )
     => ! [X0] :
          ( ~ gt(n0,X0)
         => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',treatmentsn2) ).

tff(f_83,axiom,
    ! [X0] :
      ( ~ bcapacityex(X0)
      | ~ bcapacitysn(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',xorcapacity4) ).

tff(f_144,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) )
        & ~ bcapacityex(X0) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',sulfonylurea_effect) ).

tff(f_178,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => bsecretioni(X1) )
        & bcapacitysn(X0)
        & qilt27(X0)
        & ! [X1] :
            ( gt(X0,X1)
           => conditionhyper(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax',sn_cure_1) ).

tff(c_104,plain,
    ~ conditionnormo('#skF_15'),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_110,plain,
    bcapacitysn(n0),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_108,plain,
    qilt27(n0),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_134,plain,
    ! [X0_58] :
      ( ~ bcapacitysn(X0_58)
      | ~ bcapacityex(X0_58) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_138,plain,
    ~ bcapacityex(n0),
    inference(resolution,[status(thm)],[c_110,c_134]) ).

tff(c_114,plain,
    ! [X0_50] :
      ( drugsu(X0_50)
      | gt(n0,X0_50) ),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_252,plain,
    ! [X0_89,X1_90] :
      ( ~ gt(X0_89,'#skF_2'(X0_89))
      | bsecretioni(X1_90)
      | gt(X0_89,X1_90)
      | bcapacityex(X0_89) ),
    inference(cnfTransformation,[status(thm)],[f_144]) ).

tff(c_258,plain,
    ! [X1_90] :
      ( bsecretioni(X1_90)
      | gt(n0,X1_90)
      | bcapacityex(n0)
      | drugsu('#skF_2'(n0)) ),
    inference(resolution,[status(thm)],[c_114,c_252]) ).

tff(c_262,plain,
    ! [X1_90] :
      ( bsecretioni(X1_90)
      | gt(n0,X1_90)
      | drugsu('#skF_2'(n0)) ),
    inference(negUnitSimplification,[status(thm)],[c_138,c_258]) ).

tff(c_263,plain,
    drugsu('#skF_2'(n0)),
    inference(splitLeft,[status(thm)],[c_262]) ).

tff(c_32,plain,
    ! [X0_19,X1_22] :
      ( ~ drugsu('#skF_2'(X0_19))
      | bsecretioni(X1_22)
      | gt(X0_19,X1_22)
      | bcapacityex(X0_19) ),
    inference(cnfTransformation,[status(thm)],[f_144]) ).

tff(c_299,plain,
    ! [X1_22] :
      ( bsecretioni(X1_22)
      | gt(n0,X1_22)
      | bcapacityex(n0) ),
    inference(resolution,[status(thm)],[c_263,c_32]) ).

tff(c_303,plain,
    ! [X1_93] :
      ( bsecretioni(X1_93)
      | gt(n0,X1_93) ),
    inference(negUnitSimplification,[status(thm)],[c_138,c_299]) ).

tff(c_112,plain,
    ! [X0_51] :
      ( conditionhyper(X0_51)
      | ~ gt(n0,X0_51) ),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_338,plain,
    ! [X1_93] :
      ( conditionhyper(X1_93)
      | bsecretioni(X1_93) ),
    inference(resolution,[status(thm)],[c_303,c_112]) ).

tff(c_344,plain,
    ! [X0_95,X1_96] :
      ( ~ bsecretioni('#skF_4'(X0_95))
      | ~ conditionhyper('#skF_5'(X0_95))
      | conditionnormo(X1_96)
      | gt(X0_95,X1_96)
      | ~ qilt27(X0_95)
      | ~ bcapacitysn(X0_95) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_364,plain,
    ! [X0_100,X1_101] :
      ( ~ bsecretioni('#skF_4'(X0_100))
      | conditionnormo(X1_101)
      | gt(X0_100,X1_101)
      | ~ qilt27(X0_100)
      | ~ bcapacitysn(X0_100)
      | bsecretioni('#skF_5'(X0_100)) ),
    inference(resolution,[status(thm)],[c_338,c_344]) ).

tff(c_384,plain,
    ! [X1_101] :
      ( conditionhyper(X1_101)
      | ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_101)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0)
      | bsecretioni('#skF_5'(n0)) ),
    inference(resolution,[status(thm)],[c_364,c_112]) ).

tff(c_397,plain,
    ! [X1_101] :
      ( conditionhyper(X1_101)
      | ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_101)
      | bsecretioni('#skF_5'(n0)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_384]) ).

tff(c_399,plain,
    ~ bsecretioni('#skF_4'(n0)),
    inference(splitLeft,[status(thm)],[c_397]) ).

tff(c_302,plain,
    ! [X1_22] :
      ( bsecretioni(X1_22)
      | gt(n0,X1_22) ),
    inference(negUnitSimplification,[status(thm)],[c_138,c_299]) ).

tff(c_437,plain,
    ! [X0_106,X1_107] :
      ( ~ gt(X0_106,'#skF_4'(X0_106))
      | ~ conditionhyper('#skF_5'(X0_106))
      | conditionnormo(X1_107)
      | gt(X0_106,X1_107)
      | ~ qilt27(X0_106)
      | ~ bcapacitysn(X0_106) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_446,plain,
    ! [X1_107] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_107)
      | gt(n0,X1_107)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0)
      | bsecretioni('#skF_4'(n0)) ),
    inference(resolution,[status(thm)],[c_302,c_437]) ).

tff(c_460,plain,
    ! [X1_107] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_107)
      | gt(n0,X1_107)
      | bsecretioni('#skF_4'(n0)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_446]) ).

tff(c_461,plain,
    ! [X1_107] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_107)
      | gt(n0,X1_107) ),
    inference(negUnitSimplification,[status(thm)],[c_399,c_460]) ).

tff(c_467,plain,
    ~ conditionhyper('#skF_5'(n0)),
    inference(splitLeft,[status(thm)],[c_461]) ).

tff(c_1007,plain,
    ! [X0_146,X1_147] :
      ( ~ gt(X0_146,'#skF_4'(X0_146))
      | gt(X0_146,'#skF_5'(X0_146))
      | conditionnormo(X1_147)
      | gt(X0_146,X1_147)
      | ~ qilt27(X0_146)
      | ~ bcapacitysn(X0_146) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1021,plain,
    ! [X1_147] :
      ( conditionhyper('#skF_5'(n0))
      | ~ gt(n0,'#skF_4'(n0))
      | conditionnormo(X1_147)
      | gt(n0,X1_147)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[c_1007,c_112]) ).

tff(c_1054,plain,
    ! [X1_147] :
      ( conditionhyper('#skF_5'(n0))
      | ~ gt(n0,'#skF_4'(n0))
      | conditionnormo(X1_147)
      | gt(n0,X1_147) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_1021]) ).

tff(c_1055,plain,
    ! [X1_147] :
      ( ~ gt(n0,'#skF_4'(n0))
      | conditionnormo(X1_147)
      | gt(n0,X1_147) ),
    inference(negUnitSimplification,[status(thm)],[c_467,c_1054]) ).

tff(c_1064,plain,
    ~ gt(n0,'#skF_4'(n0)),
    inference(splitLeft,[status(thm)],[c_1055]) ).

tff(c_1088,plain,
    bsecretioni('#skF_4'(n0)),
    inference(resolution,[status(thm)],[c_302,c_1064]) ).

tff(c_1117,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_399,c_1088]) ).

tff(c_1144,plain,
    ! [X1_148] :
      ( conditionnormo(X1_148)
      | gt(n0,X1_148) ),
    inference(splitRight,[status(thm)],[c_1055]) ).

tff(c_106,plain,
    ~ gt(n0,'#skF_15'),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_1188,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_1144,c_106]) ).

tff(c_1212,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_1188]) ).

tff(c_1220,plain,
    ! [X1_149] :
      ( conditionnormo(X1_149)
      | gt(n0,X1_149) ),
    inference(splitRight,[status(thm)],[c_461]) ).

tff(c_1253,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_1220,c_106]) ).

tff(c_1270,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_1253]) ).

tff(c_1272,plain,
    bsecretioni('#skF_4'(n0)),
    inference(splitRight,[status(thm)],[c_397]) ).

tff(c_1274,plain,
    ! [X0_150,X1_151] :
      ( ~ gt(X0_150,'#skF_4'(X0_150))
      | ~ conditionhyper('#skF_5'(X0_150))
      | conditionnormo(X1_151)
      | gt(X0_150,X1_151)
      | ~ qilt27(X0_150)
      | ~ bcapacitysn(X0_150) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1289,plain,
    ! [X1_151] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_151)
      | gt(n0,X1_151)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0)
      | drugsu('#skF_4'(n0)) ),
    inference(resolution,[status(thm)],[c_114,c_1274]) ).

tff(c_1298,plain,
    ! [X1_151] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_151)
      | gt(n0,X1_151)
      | drugsu('#skF_4'(n0)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_1289]) ).

tff(c_1299,plain,
    ~ conditionhyper('#skF_5'(n0)),
    inference(splitLeft,[status(thm)],[c_1298]) ).

tff(c_1439,plain,
    ! [X0_161,X1_162] :
      ( ~ bsecretioni('#skF_4'(X0_161))
      | gt(X0_161,'#skF_5'(X0_161))
      | conditionnormo(X1_162)
      | gt(X0_161,X1_162)
      | ~ qilt27(X0_161)
      | ~ bcapacitysn(X0_161) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1445,plain,
    ! [X1_162] :
      ( conditionhyper('#skF_5'(n0))
      | ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_162)
      | gt(n0,X1_162)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[c_1439,c_112]) ).

tff(c_1465,plain,
    ! [X1_162] :
      ( conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_162)
      | gt(n0,X1_162) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_1272,c_1445]) ).

tff(c_1471,plain,
    ! [X1_163] :
      ( conditionnormo(X1_163)
      | gt(n0,X1_163) ),
    inference(negUnitSimplification,[status(thm)],[c_1299,c_1465]) ).

tff(c_1504,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_1471,c_106]) ).

tff(c_1521,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_1504]) ).

tff(c_1523,plain,
    conditionhyper('#skF_5'(n0)),
    inference(splitRight,[status(thm)],[c_1298]) ).

tff(c_40,plain,
    ! [X0_27,X1_31] :
      ( ~ bsecretioni('#skF_4'(X0_27))
      | ~ conditionhyper('#skF_5'(X0_27))
      | conditionnormo(X1_31)
      | gt(X0_27,X1_31)
      | ~ qilt27(X0_27)
      | ~ bcapacitysn(X0_27) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1525,plain,
    ! [X1_31] :
      ( ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_31)
      | gt(n0,X1_31)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[c_1523,c_40]) ).

tff(c_1529,plain,
    ! [X1_164] :
      ( conditionnormo(X1_164)
      | gt(n0,X1_164) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_1272,c_1525]) ).

tff(c_1562,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_1529,c_106]) ).

tff(c_1579,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_1562]) ).

tff(c_1587,plain,
    ! [X1_165] :
      ( bsecretioni(X1_165)
      | gt(n0,X1_165) ),
    inference(splitRight,[status(thm)],[c_262]) ).

tff(c_1622,plain,
    ! [X1_165] :
      ( conditionhyper(X1_165)
      | bsecretioni(X1_165) ),
    inference(resolution,[status(thm)],[c_1587,c_112]) ).

tff(c_1729,plain,
    ! [X0_178,X1_179] :
      ( ~ bsecretioni('#skF_4'(X0_178))
      | ~ conditionhyper('#skF_5'(X0_178))
      | conditionnormo(X1_179)
      | gt(X0_178,X1_179)
      | ~ qilt27(X0_178)
      | ~ bcapacitysn(X0_178) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1811,plain,
    ! [X0_185,X1_186] :
      ( ~ bsecretioni('#skF_4'(X0_185))
      | conditionnormo(X1_186)
      | gt(X0_185,X1_186)
      | ~ qilt27(X0_185)
      | ~ bcapacitysn(X0_185)
      | bsecretioni('#skF_5'(X0_185)) ),
    inference(resolution,[status(thm)],[c_1622,c_1729]) ).

tff(c_1833,plain,
    ! [X1_186] :
      ( conditionhyper(X1_186)
      | ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_186)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0)
      | bsecretioni('#skF_5'(n0)) ),
    inference(resolution,[status(thm)],[c_1811,c_112]) ).

tff(c_1847,plain,
    ! [X1_186] :
      ( conditionhyper(X1_186)
      | ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_186)
      | bsecretioni('#skF_5'(n0)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_1833]) ).

tff(c_1850,plain,
    ~ bsecretioni('#skF_4'(n0)),
    inference(splitLeft,[status(thm)],[c_1847]) ).

tff(c_1580,plain,
    ! [X1_90] :
      ( bsecretioni(X1_90)
      | gt(n0,X1_90) ),
    inference(splitRight,[status(thm)],[c_262]) ).

tff(c_1888,plain,
    ! [X0_191,X1_192] :
      ( ~ gt(X0_191,'#skF_4'(X0_191))
      | ~ conditionhyper('#skF_5'(X0_191))
      | conditionnormo(X1_192)
      | gt(X0_191,X1_192)
      | ~ qilt27(X0_191)
      | ~ bcapacitysn(X0_191) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1909,plain,
    ! [X1_192] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_192)
      | gt(n0,X1_192)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0)
      | bsecretioni('#skF_4'(n0)) ),
    inference(resolution,[status(thm)],[c_1580,c_1888]) ).

tff(c_1924,plain,
    ! [X1_192] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_192)
      | gt(n0,X1_192)
      | bsecretioni('#skF_4'(n0)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_1909]) ).

tff(c_1925,plain,
    ! [X1_192] :
      ( ~ conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_192)
      | gt(n0,X1_192) ),
    inference(negUnitSimplification,[status(thm)],[c_1850,c_1924]) ).

tff(c_1930,plain,
    ~ conditionhyper('#skF_5'(n0)),
    inference(splitLeft,[status(thm)],[c_1925]) ).

tff(c_3229,plain,
    ! [X0_265,X1_266] :
      ( ~ gt(X0_265,'#skF_4'(X0_265))
      | gt(X0_265,'#skF_5'(X0_265))
      | conditionnormo(X1_266)
      | gt(X0_265,X1_266)
      | ~ qilt27(X0_265)
      | ~ bcapacitysn(X0_265) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_3245,plain,
    ! [X1_266] :
      ( conditionhyper('#skF_5'(n0))
      | ~ gt(n0,'#skF_4'(n0))
      | conditionnormo(X1_266)
      | gt(n0,X1_266)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[c_3229,c_112]) ).

tff(c_3286,plain,
    ! [X1_266] :
      ( conditionhyper('#skF_5'(n0))
      | ~ gt(n0,'#skF_4'(n0))
      | conditionnormo(X1_266)
      | gt(n0,X1_266) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_3245]) ).

tff(c_3287,plain,
    ! [X1_266] :
      ( ~ gt(n0,'#skF_4'(n0))
      | conditionnormo(X1_266)
      | gt(n0,X1_266) ),
    inference(negUnitSimplification,[status(thm)],[c_1930,c_3286]) ).

tff(c_3298,plain,
    ~ gt(n0,'#skF_4'(n0)),
    inference(splitLeft,[status(thm)],[c_3287]) ).

tff(c_3344,plain,
    bsecretioni('#skF_4'(n0)),
    inference(resolution,[status(thm)],[c_1580,c_3298]) ).

tff(c_3387,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1850,c_3344]) ).

tff(c_3417,plain,
    ! [X1_267] :
      ( conditionnormo(X1_267)
      | gt(n0,X1_267) ),
    inference(splitRight,[status(thm)],[c_3287]) ).

tff(c_3472,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_3417,c_106]) ).

tff(c_3500,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_3472]) ).

tff(c_3508,plain,
    ! [X1_268] :
      ( conditionnormo(X1_268)
      | gt(n0,X1_268) ),
    inference(splitRight,[status(thm)],[c_1925]) ).

tff(c_3543,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_3508,c_106]) ).

tff(c_3561,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_3543]) ).

tff(c_3563,plain,
    bsecretioni('#skF_4'(n0)),
    inference(splitRight,[status(thm)],[c_1847]) ).

tff(c_3679,plain,
    ! [X0_279,X1_280] :
      ( ~ bsecretioni('#skF_4'(X0_279))
      | gt(X0_279,'#skF_5'(X0_279))
      | conditionnormo(X1_280)
      | gt(X0_279,X1_280)
      | ~ qilt27(X0_279)
      | ~ bcapacitysn(X0_279) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_3687,plain,
    ! [X1_280] :
      ( conditionhyper('#skF_5'(n0))
      | ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_280)
      | gt(n0,X1_280)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[c_3679,c_112]) ).

tff(c_3709,plain,
    ! [X1_280] :
      ( conditionhyper('#skF_5'(n0))
      | conditionnormo(X1_280)
      | gt(n0,X1_280) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_3563,c_3687]) ).

tff(c_3761,plain,
    conditionhyper('#skF_5'(n0)),
    inference(splitLeft,[status(thm)],[c_3709]) ).

tff(c_3763,plain,
    ! [X1_31] :
      ( ~ bsecretioni('#skF_4'(n0))
      | conditionnormo(X1_31)
      | gt(n0,X1_31)
      | ~ qilt27(n0)
      | ~ bcapacitysn(n0) ),
    inference(resolution,[status(thm)],[c_3761,c_40]) ).

tff(c_3767,plain,
    ! [X1_283] :
      ( conditionnormo(X1_283)
      | gt(n0,X1_283) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_3563,c_3763]) ).

tff(c_3802,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_3767,c_106]) ).

tff(c_3820,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_3802]) ).

tff(c_3978,plain,
    ! [X1_288] :
      ( conditionnormo(X1_288)
      | gt(n0,X1_288) ),
    inference(splitRight,[status(thm)],[c_3709]) ).

tff(c_4016,plain,
    conditionnormo('#skF_15'),
    inference(resolution,[status(thm)],[c_3978,c_106]) ).

tff(c_4035,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_104,c_4016]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MED001+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr  8 07:47:03 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 7.49/2.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.49/2.80  
% 7.49/2.80  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------