TSTP Solution File: MED008+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MED008+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n005.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 Aug 22 10:49:26 EDT 2023

% Result   : Theorem 33.39s 20.37s
% Output   : CNFRefutation 33.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  205 (  67 unt;  43 typ;   0 def)
%            Number of atoms       :  396 (   0 equ)
%            Maximal formula atoms :   30 (   2 avg)
%            Number of connectives :  334 ( 100   ~; 190   |;  16   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  42   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;   1 con; 0-1 aty)
%            Number of variables   :  148 (; 148   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ gt > uptakepg > uptakelg > s3 > s2 > s1 > s0 > releaselg > qilt27 > qillt27 > drugsu > drugi > drugbg > conditionnormo > conditionhypo > conditionhyper > bsecretioni > bcapacitysn > bcapacityne > bcapacityex > #nlpp > n0 > #skF_9 > #skF_7 > #skF_5 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_19 > #skF_1 > #skF_22 > #skF_8 > #skF_15 > #skF_10 > #skF_13 > #skF_17 > #skF_3 > #skF_11 > #skF_14 > #skF_12 > #skF_6 > #skF_20

%Foreground sorts:

%Background operators:

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

tff(qillt27,type,
    qillt27: $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(s1,type,
    s1: $i > $o ).

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

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

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

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

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff(s0,type,
    s0: $i > $o ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

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

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

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

tff('#skF_22',type,
    '#skF_22': $i > $i ).

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

tff(s3,type,
    s3: $i > $o ).

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

tff('#skF_15',type,
    '#skF_15': $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(s2,type,
    s2: $i > $o ).

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

tff('#skF_17',type,
    '#skF_17': $i > $i ).

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('#skF_20',type,
    '#skF_20': $i > $i ).

tff(f_609,negated_conjecture,
    ~ ( ( s1(n0)
        & ! [X0] :
            ( gt(n0,X0)
           => conditionhyper(X0) )
        & ~ bcapacitysn(n0)
        & ~ qilt27(n0) )
     => ~ ! [X0] :
            ( ~ gt(n0,X0)
           => conditionnormo(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unsuccessfuls1_qige27) ).

tff(f_467,axiom,
    ! [X0] :
      ( drugi(X0)
     => s3(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',insulincomp) ).

tff(f_324,axiom,
    ! [X0] :
      ( ~ s1(X0)
      | ~ s3(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',xorstep6) ).

tff(f_493,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( ~ releaselg(X1)
       => uptakelg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',uptake_completion) ).

tff(f_54,axiom,
    ! [X] : ~ gt(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',irreflexivity_gt) ).

tff(f_485,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ gt(X0,X1)
           => uptakelg(X1) )
        | ! [X1] :
            ( ~ gt(X0,X1)
           => uptakepg(X1) ) )
     => ! [X1] :
          ( ~ gt(X0,X1)
         => drugi(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',insulin_completion) ).

tff(f_102,axiom,
    ! [X0] :
      ( ~ conditionhyper(X0)
      | ~ conditionnormo(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',xorcondition3) ).

tff(f_508,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => bsecretioni(X1) )
     => ( ! [X1] :
            ( ~ gt(X0,X1)
           => drugsu(X1) )
        & ~ bcapacityex(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',su_completion) ).

tff(f_413,axiom,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X0,X1)
         => conditionnormo(X1) )
     => ( ( ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & bcapacitysn(X0)
          & qilt27(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ! [X1] :
              ( ~ gt(X0,X1)
             => ~ releaselg(X1) )
          & bcapacitysn(X0)
          & ~ qilt27(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ( ! [X1] :
                ( ~ gt(X0,X1)
               => ~ releaselg(X1) )
            | ! [X1] :
                ( ~ gt(X0,X1)
               => uptakepg(X1) ) )
          & bcapacityne(X0)
          & ! [X1] :
              ( ~ gt(X0,X1)
             => bsecretioni(X1) )
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) )
        | ( ! [X1] :
              ( ~ gt(X0,X1)
             => uptakelg(X1) )
          & ! [X1] :
              ( ~ gt(X0,X1)
             => uptakepg(X1) )
          & bcapacityex(X0)
          & ! [X1] :
              ( gt(X0,X1)
             => conditionhyper(X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+1.ax',normo) ).

tff(f_72,axiom,
    ! [X0] :
      ( ~ bcapacityne(X0)
      | ~ bcapacityex(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',xorcapacity2) ).

tff(f_130,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
     => ( uptakelg(X1)
       => ~ releaselg(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax',liver_glucose) ).

tff(c_1216,plain,
    s1(n0),
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_1162,plain,
    ! [X0_87] :
      ( s3(X0_87)
      | ~ drugi(X0_87) ),
    inference(cnfTransformation,[status(thm)],[f_467]) ).

tff(c_1238,plain,
    ! [X0_137] :
      ( ~ s3(X0_137)
      | ~ s1(X0_137) ),
    inference(cnfTransformation,[status(thm)],[f_324]) ).

tff(c_1286,plain,
    ! [X0_153] :
      ( ~ s1(X0_153)
      | ~ drugi(X0_153) ),
    inference(resolution,[status(thm)],[c_1162,c_1238]) ).

tff(c_1290,plain,
    ~ drugi(n0),
    inference(resolution,[status(thm)],[c_1216,c_1286]) ).

tff(c_120054,plain,
    ! [X1_2495,X0_2496] :
      ( uptakelg(X1_2495)
      | releaselg(X1_2495)
      | gt(X0_2496,X1_2495) ),
    inference(cnfTransformation,[status(thm)],[f_493]) ).

tff(c_2,plain,
    ! [X_1] : ~ gt(X_1,X_1),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_120068,plain,
    ! [X1_2495] :
      ( uptakelg(X1_2495)
      | releaselg(X1_2495) ),
    inference(resolution,[status(thm)],[c_120054,c_2]) ).

tff(c_120163,plain,
    ! [X0_2515,X1_2516] :
      ( ~ uptakelg('#skF_16'(X0_2515))
      | drugi(X1_2516)
      | gt(X0_2515,X1_2516) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_120510,plain,
    ! [X1_2548,X0_2549] :
      ( drugi(X1_2548)
      | gt(X0_2549,X1_2548)
      | releaselg('#skF_16'(X0_2549)) ),
    inference(resolution,[status(thm)],[c_120068,c_120163]) ).

tff(c_120541,plain,
    ! [X1_2548] :
      ( drugi(X1_2548)
      | releaselg('#skF_16'(X1_2548)) ),
    inference(resolution,[status(thm)],[c_120510,c_2]) ).

tff(c_1231,plain,
    ! [X0_135] :
      ( conditionnormo(X0_135)
      | gt(n0,X0_135) ),
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_1236,plain,
    conditionnormo(n0),
    inference(resolution,[status(thm)],[c_1231,c_2]) ).

tff(c_1268,plain,
    ! [X0_147] :
      ( ~ conditionnormo(X0_147)
      | ~ conditionhyper(X0_147) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_1272,plain,
    ~ conditionhyper(n0),
    inference(resolution,[status(thm)],[c_1236,c_1268]) ).

tff(c_1208,plain,
    ! [X0_128] :
      ( conditionnormo(X0_128)
      | gt(n0,X0_128) ),
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_120242,plain,
    ! [X0_2524,X1_2525] :
      ( ~ gt(X0_2524,'#skF_17'(X0_2524))
      | drugi(X1_2525)
      | gt(X0_2524,X1_2525) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_120250,plain,
    ! [X1_2525] :
      ( drugi(X1_2525)
      | gt(n0,X1_2525)
      | conditionnormo('#skF_17'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_120242]) ).

tff(c_120293,plain,
    conditionnormo('#skF_17'(n0)),
    inference(splitLeft,[status(thm)],[c_120250]) ).

tff(c_18,plain,
    ! [X0_11] :
      ( ~ conditionnormo(X0_11)
      | ~ conditionhyper(X0_11) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_120300,plain,
    ~ conditionhyper('#skF_17'(n0)),
    inference(resolution,[status(thm)],[c_120293,c_18]) ).

tff(c_1345,plain,
    ! [X1_161,X0_162] :
      ( uptakelg(X1_161)
      | releaselg(X1_161)
      | gt(X0_162,X1_161) ),
    inference(cnfTransformation,[status(thm)],[f_493]) ).

tff(c_1359,plain,
    ! [X1_161] :
      ( uptakelg(X1_161)
      | releaselg(X1_161) ),
    inference(resolution,[status(thm)],[c_1345,c_2]) ).

tff(c_1420,plain,
    ! [X0_175,X1_176] :
      ( ~ uptakelg('#skF_16'(X0_175))
      | drugi(X1_176)
      | gt(X0_175,X1_176) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_4340,plain,
    ! [X1_361,X0_362] :
      ( drugi(X1_361)
      | gt(X0_362,X1_361)
      | releaselg('#skF_16'(X0_362)) ),
    inference(resolution,[status(thm)],[c_1359,c_1420]) ).

tff(c_4379,plain,
    ! [X1_361] :
      ( drugi(X1_361)
      | releaselg('#skF_16'(X1_361)) ),
    inference(resolution,[status(thm)],[c_4340,c_2]) ).

tff(c_4297,plain,
    ! [X0_358,X1_359] :
      ( ~ gt(X0_358,'#skF_17'(X0_358))
      | drugi(X1_359)
      | gt(X0_358,X1_359) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_4305,plain,
    ! [X1_359] :
      ( drugi(X1_359)
      | gt(n0,X1_359)
      | conditionnormo('#skF_17'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_4297]) ).

tff(c_4306,plain,
    conditionnormo('#skF_17'(n0)),
    inference(splitLeft,[status(thm)],[c_4305]) ).

tff(c_4313,plain,
    ~ conditionhyper('#skF_17'(n0)),
    inference(resolution,[status(thm)],[c_4306,c_18]) ).

tff(c_4380,plain,
    ! [X0_363,X1_364] :
      ( ~ gt(X0_363,'#skF_16'(X0_363))
      | drugi(X1_364)
      | gt(X0_363,X1_364) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_4392,plain,
    ! [X1_364] :
      ( drugi(X1_364)
      | gt(n0,X1_364)
      | conditionnormo('#skF_16'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_4380]) ).

tff(c_4395,plain,
    conditionnormo('#skF_16'(n0)),
    inference(splitLeft,[status(thm)],[c_4392]) ).

tff(c_4402,plain,
    ~ conditionhyper('#skF_16'(n0)),
    inference(resolution,[status(thm)],[c_4395,c_18]) ).

tff(c_1214,plain,
    ! [X0_127] :
      ( conditionhyper(X0_127)
      | ~ gt(n0,X0_127) ),
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_4378,plain,
    ! [X1_361] :
      ( conditionhyper(X1_361)
      | drugi(X1_361)
      | releaselg('#skF_16'(n0)) ),
    inference(resolution,[status(thm)],[c_4340,c_1214]) ).

tff(c_4394,plain,
    releaselg('#skF_16'(n0)),
    inference(splitLeft,[status(thm)],[c_4378]) ).

tff(c_1303,plain,
    ! [X0_156] :
      ( ~ gt(X0_156,'#skF_18'(X0_156))
      | ~ bcapacityex(X0_156) ),
    inference(cnfTransformation,[status(thm)],[f_508]) ).

tff(c_1308,plain,
    ( ~ bcapacityex(n0)
    | conditionnormo('#skF_18'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_1303]) ).

tff(c_1309,plain,
    ~ bcapacityex(n0),
    inference(splitLeft,[status(thm)],[c_1308]) ).

tff(c_1212,plain,
    ~ bcapacitysn(n0),
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_1256,plain,
    ! [X0_143] :
      ( conditionhyper(X0_143)
      | ~ gt(n0,X0_143) ),
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_1260,plain,
    ! [X0_128] :
      ( conditionhyper(X0_128)
      | conditionnormo(X0_128) ),
    inference(resolution,[status(thm)],[c_1208,c_1256]) ).

tff(c_5319,plain,
    ! [X0_429,X1_430] :
      ( ~ conditionnormo('#skF_15'(X0_429))
      | bcapacitysn(X0_429)
      | bsecretioni(X1_430)
      | gt(X0_429,X1_430)
      | bcapacityex(X0_429) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_5477,plain,
    ! [X0_436,X1_437] :
      ( bcapacitysn(X0_436)
      | bsecretioni(X1_437)
      | gt(X0_436,X1_437)
      | bcapacityex(X0_436)
      | conditionhyper('#skF_15'(X0_436)) ),
    inference(resolution,[status(thm)],[c_1260,c_5319]) ).

tff(c_5521,plain,
    ! [X1_437] :
      ( conditionhyper(X1_437)
      | bcapacitysn(n0)
      | bsecretioni(X1_437)
      | bcapacityex(n0)
      | conditionhyper('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_5477,c_1214]) ).

tff(c_5541,plain,
    ! [X1_437] :
      ( conditionhyper(X1_437)
      | bsecretioni(X1_437)
      | conditionhyper('#skF_15'(n0)) ),
    inference(negUnitSimplification,[status(thm)],[c_1309,c_1212,c_5521]) ).

tff(c_5543,plain,
    conditionhyper('#skF_15'(n0)),
    inference(splitLeft,[status(thm)],[c_5541]) ).

tff(c_7312,plain,
    ! [X0_549,X1_550] :
      ( ~ gt(X0_549,'#skF_15'(X0_549))
      | bcapacitysn(X0_549)
      | bsecretioni(X1_550)
      | gt(X0_549,X1_550)
      | bcapacityex(X0_549) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_7378,plain,
    ! [X1_550] :
      ( bcapacitysn(n0)
      | bsecretioni(X1_550)
      | gt(n0,X1_550)
      | bcapacityex(n0)
      | conditionnormo('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_7312]) ).

tff(c_7402,plain,
    ! [X1_550] :
      ( bsecretioni(X1_550)
      | gt(n0,X1_550)
      | conditionnormo('#skF_15'(n0)) ),
    inference(negUnitSimplification,[status(thm)],[c_1309,c_1212,c_7378]) ).

tff(c_7403,plain,
    conditionnormo('#skF_15'(n0)),
    inference(splitLeft,[status(thm)],[c_7402]) ).

tff(c_7506,plain,
    ~ conditionhyper('#skF_15'(n0)),
    inference(resolution,[status(thm)],[c_7403,c_18]) ).

tff(c_7527,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5543,c_7506]) ).

tff(c_7529,plain,
    ~ conditionnormo('#skF_15'(n0)),
    inference(splitRight,[status(thm)],[c_7402]) ).

tff(c_86029,plain,
    ! [X0_1738,X1_1739,X1_1740] :
      ( ~ gt(X0_1738,'#skF_15'(X0_1738))
      | bcapacitysn(X0_1738)
      | uptakepg(X1_1739)
      | gt(X0_1738,X1_1739)
      | ~ releaselg(X1_1740)
      | gt(X0_1738,X1_1740)
      | bcapacityex(X0_1738) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_86603,plain,
    ! [X1_1739,X1_1740] :
      ( bcapacitysn(n0)
      | uptakepg(X1_1739)
      | gt(n0,X1_1739)
      | ~ releaselg(X1_1740)
      | gt(n0,X1_1740)
      | bcapacityex(n0)
      | conditionnormo('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_86029]) ).

tff(c_86799,plain,
    ! [X1_1739,X1_1740] :
      ( uptakepg(X1_1739)
      | gt(n0,X1_1739)
      | ~ releaselg(X1_1740)
      | gt(n0,X1_1740) ),
    inference(negUnitSimplification,[status(thm)],[c_7529,c_1309,c_1212,c_86603]) ).

tff(c_86801,plain,
    ! [X1_1741] :
      ( ~ releaselg(X1_1741)
      | gt(n0,X1_1741) ),
    inference(splitLeft,[status(thm)],[c_86799]) ).

tff(c_87281,plain,
    ! [X1_1742] :
      ( conditionhyper(X1_1742)
      | ~ releaselg(X1_1742) ),
    inference(resolution,[status(thm)],[c_86801,c_1214]) ).

tff(c_87614,plain,
    conditionhyper('#skF_16'(n0)),
    inference(resolution,[status(thm)],[c_4394,c_87281]) ).

tff(c_87746,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4402,c_87614]) ).

tff(c_87748,plain,
    ! [X1_1743] :
      ( uptakepg(X1_1743)
      | gt(n0,X1_1743) ),
    inference(splitRight,[status(thm)],[c_86799]) ).

tff(c_88222,plain,
    ! [X1_1743] :
      ( conditionhyper(X1_1743)
      | uptakepg(X1_1743) ),
    inference(resolution,[status(thm)],[c_87748,c_1214]) ).

tff(c_1166,plain,
    ! [X0_88,X1_92] :
      ( ~ gt(X0_88,'#skF_17'(X0_88))
      | drugi(X1_92)
      | gt(X0_88,X1_92) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_88215,plain,
    ! [X1_92] :
      ( drugi(X1_92)
      | gt(n0,X1_92)
      | uptakepg('#skF_17'(n0)) ),
    inference(resolution,[status(thm)],[c_87748,c_1166]) ).

tff(c_89225,plain,
    uptakepg('#skF_17'(n0)),
    inference(splitLeft,[status(thm)],[c_88215]) ).

tff(c_1164,plain,
    ! [X0_88,X1_92] :
      ( ~ uptakepg('#skF_17'(X0_88))
      | drugi(X1_92)
      | gt(X0_88,X1_92) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_89229,plain,
    ! [X1_1750] :
      ( drugi(X1_1750)
      | gt(n0,X1_1750) ),
    inference(resolution,[status(thm)],[c_89225,c_1164]) ).

tff(c_89503,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_89229,c_2]) ).

tff(c_89720,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_89503]) ).

tff(c_89722,plain,
    ~ uptakepg('#skF_17'(n0)),
    inference(splitRight,[status(thm)],[c_88215]) ).

tff(c_90499,plain,
    conditionhyper('#skF_17'(n0)),
    inference(resolution,[status(thm)],[c_88222,c_89722]) ).

tff(c_90506,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4313,c_90499]) ).

tff(c_90508,plain,
    ~ conditionhyper('#skF_15'(n0)),
    inference(splitRight,[status(thm)],[c_5541]) ).

tff(c_118555,plain,
    ! [X0_2474,X1_2475,X1_2476] :
      ( ~ conditionnormo('#skF_15'(X0_2474))
      | bcapacitysn(X0_2474)
      | uptakepg(X1_2475)
      | gt(X0_2474,X1_2475)
      | ~ releaselg(X1_2476)
      | gt(X0_2474,X1_2476)
      | bcapacityex(X0_2474) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_118600,plain,
    ! [X0_2480,X1_2481,X1_2482] :
      ( bcapacitysn(X0_2480)
      | uptakepg(X1_2481)
      | gt(X0_2480,X1_2481)
      | ~ releaselg(X1_2482)
      | gt(X0_2480,X1_2482)
      | bcapacityex(X0_2480)
      | conditionhyper('#skF_15'(X0_2480)) ),
    inference(resolution,[status(thm)],[c_1260,c_118555]) ).

tff(c_118757,plain,
    ! [X1_2481,X1_2482] :
      ( conditionhyper(X1_2481)
      | bcapacitysn(n0)
      | uptakepg(X1_2481)
      | ~ releaselg(X1_2482)
      | gt(n0,X1_2482)
      | bcapacityex(n0)
      | conditionhyper('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_118600,c_1214]) ).

tff(c_118985,plain,
    ! [X1_2481,X1_2482] :
      ( conditionhyper(X1_2481)
      | uptakepg(X1_2481)
      | ~ releaselg(X1_2482)
      | gt(n0,X1_2482) ),
    inference(negUnitSimplification,[status(thm)],[c_90508,c_1309,c_1212,c_118757]) ).

tff(c_119052,plain,
    ! [X1_2483] :
      ( ~ releaselg(X1_2483)
      | gt(n0,X1_2483) ),
    inference(splitLeft,[status(thm)],[c_118985]) ).

tff(c_119323,plain,
    ! [X1_2484] :
      ( conditionhyper(X1_2484)
      | ~ releaselg(X1_2484) ),
    inference(resolution,[status(thm)],[c_119052,c_1214]) ).

tff(c_119455,plain,
    conditionhyper('#skF_16'(n0)),
    inference(resolution,[status(thm)],[c_4394,c_119323]) ).

tff(c_119520,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4402,c_119455]) ).

tff(c_119522,plain,
    ! [X1_2485] :
      ( conditionhyper(X1_2485)
      | uptakepg(X1_2485) ),
    inference(splitRight,[status(thm)],[c_118985]) ).

tff(c_119536,plain,
    ! [X1_2489,X0_2490] :
      ( drugi(X1_2489)
      | gt(X0_2490,X1_2489)
      | conditionhyper('#skF_17'(X0_2490)) ),
    inference(resolution,[status(thm)],[c_119522,c_1164]) ).

tff(c_119693,plain,
    ! [X1_2489] :
      ( conditionhyper(X1_2489)
      | drugi(X1_2489)
      | conditionhyper('#skF_17'(n0)) ),
    inference(resolution,[status(thm)],[c_119536,c_1214]) ).

tff(c_119770,plain,
    ! [X1_2491] :
      ( conditionhyper(X1_2491)
      | drugi(X1_2491) ),
    inference(negUnitSimplification,[status(thm)],[c_4313,c_119693]) ).

tff(c_119878,plain,
    conditionhyper(n0),
    inference(resolution,[status(thm)],[c_119770,c_1290]) ).

tff(c_119917,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1272,c_119878]) ).

tff(c_119924,plain,
    ! [X1_2492] :
      ( drugi(X1_2492)
      | gt(n0,X1_2492) ),
    inference(splitRight,[status(thm)],[c_4392]) ).

tff(c_119956,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_119924,c_2]) ).

tff(c_119969,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_119956]) ).

tff(c_119971,plain,
    ~ releaselg('#skF_16'(n0)),
    inference(splitRight,[status(thm)],[c_4378]) ).

tff(c_119974,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_4379,c_119971]) ).

tff(c_119981,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_119974]) ).

tff(c_119988,plain,
    ! [X1_2493] :
      ( drugi(X1_2493)
      | gt(n0,X1_2493) ),
    inference(splitRight,[status(thm)],[c_4305]) ).

tff(c_120017,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_119988,c_2]) ).

tff(c_120029,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_120017]) ).

tff(c_120031,plain,
    bcapacityex(n0),
    inference(splitRight,[status(thm)],[c_1308]) ).

tff(c_120344,plain,
    ! [X0_2530,X1_2531] :
      ( ~ gt(X0_2530,'#skF_16'(X0_2530))
      | drugi(X1_2531)
      | gt(X0_2530,X1_2531) ),
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_120352,plain,
    ! [X1_2531] :
      ( drugi(X1_2531)
      | gt(n0,X1_2531)
      | conditionnormo('#skF_16'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_120344]) ).

tff(c_120372,plain,
    conditionnormo('#skF_16'(n0)),
    inference(splitLeft,[status(thm)],[c_120352]) ).

tff(c_120379,plain,
    ~ conditionhyper('#skF_16'(n0)),
    inference(resolution,[status(thm)],[c_120372,c_18]) ).

tff(c_120540,plain,
    ! [X1_2548] :
      ( conditionhyper(X1_2548)
      | drugi(X1_2548)
      | releaselg('#skF_16'(n0)) ),
    inference(resolution,[status(thm)],[c_120510,c_1214]) ).

tff(c_120543,plain,
    releaselg('#skF_16'(n0)),
    inference(splitLeft,[status(thm)],[c_120540]) ).

tff(c_121613,plain,
    ! [X0_2623,X1_2624] :
      ( ~ conditionnormo('#skF_15'(X0_2623))
      | bcapacitysn(X0_2623)
      | bcapacityne(X0_2623)
      | uptakepg(X1_2624)
      | gt(X0_2623,X1_2624) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_121740,plain,
    ! [X0_2641,X1_2642] :
      ( bcapacitysn(X0_2641)
      | bcapacityne(X0_2641)
      | uptakepg(X1_2642)
      | gt(X0_2641,X1_2642)
      | conditionhyper('#skF_15'(X0_2641)) ),
    inference(resolution,[status(thm)],[c_1260,c_121613]) ).

tff(c_121784,plain,
    ! [X1_2642] :
      ( conditionhyper(X1_2642)
      | bcapacitysn(n0)
      | bcapacityne(n0)
      | uptakepg(X1_2642)
      | conditionhyper('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_121740,c_1214]) ).

tff(c_121804,plain,
    ! [X1_2642] :
      ( conditionhyper(X1_2642)
      | bcapacityne(n0)
      | uptakepg(X1_2642)
      | conditionhyper('#skF_15'(n0)) ),
    inference(negUnitSimplification,[status(thm)],[c_1212,c_121784]) ).

tff(c_121806,plain,
    conditionhyper('#skF_15'(n0)),
    inference(splitLeft,[status(thm)],[c_121804]) ).

tff(c_122712,plain,
    ! [X0_2696,X1_2697] :
      ( ~ gt(X0_2696,'#skF_15'(X0_2696))
      | bcapacitysn(X0_2696)
      | bcapacityne(X0_2696)
      | uptakepg(X1_2697)
      | gt(X0_2696,X1_2697) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_122769,plain,
    ! [X1_2697] :
      ( bcapacitysn(n0)
      | bcapacityne(n0)
      | uptakepg(X1_2697)
      | gt(n0,X1_2697)
      | conditionnormo('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_122712]) ).

tff(c_122790,plain,
    ! [X1_2697] :
      ( bcapacityne(n0)
      | uptakepg(X1_2697)
      | gt(n0,X1_2697)
      | conditionnormo('#skF_15'(n0)) ),
    inference(negUnitSimplification,[status(thm)],[c_1212,c_122769]) ).

tff(c_122791,plain,
    conditionnormo('#skF_15'(n0)),
    inference(splitLeft,[status(thm)],[c_122790]) ).

tff(c_122804,plain,
    ~ conditionhyper('#skF_15'(n0)),
    inference(resolution,[status(thm)],[c_122791,c_18]) ).

tff(c_122825,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_121806,c_122804]) ).

tff(c_122827,plain,
    ~ conditionnormo('#skF_15'(n0)),
    inference(splitRight,[status(thm)],[c_122790]) ).

tff(c_122826,plain,
    ! [X1_2697] :
      ( bcapacityne(n0)
      | uptakepg(X1_2697)
      | gt(n0,X1_2697) ),
    inference(splitRight,[status(thm)],[c_122790]) ).

tff(c_122833,plain,
    bcapacityne(n0),
    inference(splitLeft,[status(thm)],[c_122826]) ).

tff(c_8,plain,
    ! [X0_6] :
      ( ~ bcapacityex(X0_6)
      | ~ bcapacityne(X0_6) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_122836,plain,
    ~ bcapacityex(n0),
    inference(resolution,[status(thm)],[c_122833,c_8]) ).

tff(c_122840,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_120031,c_122836]) ).

tff(c_122842,plain,
    ~ bcapacityne(n0),
    inference(splitRight,[status(thm)],[c_122826]) ).

tff(c_122937,plain,
    ! [X0_2699,X1_2700] :
      ( ~ gt(X0_2699,'#skF_15'(X0_2699))
      | bcapacitysn(X0_2699)
      | bcapacityne(X0_2699)
      | uptakelg(X1_2700)
      | gt(X0_2699,X1_2700) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_122997,plain,
    ! [X1_2700] :
      ( bcapacitysn(n0)
      | bcapacityne(n0)
      | uptakelg(X1_2700)
      | gt(n0,X1_2700)
      | conditionnormo('#skF_15'(n0)) ),
    inference(resolution,[status(thm)],[c_1208,c_122937]) ).

tff(c_123027,plain,
    ! [X1_2702] :
      ( uptakelg(X1_2702)
      | gt(n0,X1_2702) ),
    inference(negUnitSimplification,[status(thm)],[c_122827,c_122842,c_1212,c_122997]) ).

tff(c_123130,plain,
    ! [X1_2703] :
      ( conditionhyper(X1_2703)
      | uptakelg(X1_2703) ),
    inference(resolution,[status(thm)],[c_123027,c_1214]) ).

tff(c_120070,plain,
    ! [X1_2498,X0_2499] :
      ( ~ releaselg(X1_2498)
      | ~ uptakelg(X1_2498)
      | gt(X0_2499,X1_2498) ),
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_120084,plain,
    ! [X1_2498] :
      ( ~ releaselg(X1_2498)
      | ~ uptakelg(X1_2498) ),
    inference(resolution,[status(thm)],[c_120070,c_2]) ).

tff(c_123143,plain,
    ! [X1_2704] :
      ( ~ releaselg(X1_2704)
      | conditionhyper(X1_2704) ),
    inference(resolution,[status(thm)],[c_123130,c_120084]) ).

tff(c_123188,plain,
    conditionhyper('#skF_16'(n0)),
    inference(resolution,[status(thm)],[c_120543,c_123143]) ).

tff(c_123224,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_120379,c_123188]) ).

tff(c_123225,plain,
    ! [X1_2642] :
      ( bcapacityne(n0)
      | conditionhyper(X1_2642)
      | uptakepg(X1_2642) ),
    inference(splitRight,[status(thm)],[c_121804]) ).

tff(c_123250,plain,
    bcapacityne(n0),
    inference(splitLeft,[status(thm)],[c_123225]) ).

tff(c_123253,plain,
    ~ bcapacityex(n0),
    inference(resolution,[status(thm)],[c_123250,c_8]) ).

tff(c_123257,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_120031,c_123253]) ).

tff(c_123332,plain,
    ! [X1_2708] :
      ( conditionhyper(X1_2708)
      | uptakepg(X1_2708) ),
    inference(splitRight,[status(thm)],[c_123225]) ).

tff(c_123337,plain,
    ! [X1_2709,X0_2710] :
      ( drugi(X1_2709)
      | gt(X0_2710,X1_2709)
      | conditionhyper('#skF_17'(X0_2710)) ),
    inference(resolution,[status(thm)],[c_123332,c_1164]) ).

tff(c_123381,plain,
    ! [X1_2709] :
      ( conditionhyper(X1_2709)
      | drugi(X1_2709)
      | conditionhyper('#skF_17'(n0)) ),
    inference(resolution,[status(thm)],[c_123337,c_1214]) ).

tff(c_123412,plain,
    ! [X1_2713] :
      ( conditionhyper(X1_2713)
      | drugi(X1_2713) ),
    inference(negUnitSimplification,[status(thm)],[c_120300,c_123381]) ).

tff(c_123433,plain,
    conditionhyper(n0),
    inference(resolution,[status(thm)],[c_123412,c_1290]) ).

tff(c_123443,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1272,c_123433]) ).

tff(c_123445,plain,
    ~ releaselg('#skF_16'(n0)),
    inference(splitRight,[status(thm)],[c_120540]) ).

tff(c_123448,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_120541,c_123445]) ).

tff(c_123455,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_123448]) ).

tff(c_123462,plain,
    ! [X1_2714] :
      ( drugi(X1_2714)
      | gt(n0,X1_2714) ),
    inference(splitRight,[status(thm)],[c_120352]) ).

tff(c_123479,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_123462,c_2]) ).

tff(c_123489,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_123479]) ).

tff(c_123496,plain,
    ! [X1_2715] :
      ( drugi(X1_2715)
      | gt(n0,X1_2715) ),
    inference(splitRight,[status(thm)],[c_120250]) ).

tff(c_123510,plain,
    drugi(n0),
    inference(resolution,[status(thm)],[c_123496,c_2]) ).

tff(c_123519,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1290,c_123510]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : MED008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu Aug  3 14:20:56 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 33.39/20.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.55/20.39  
% 33.55/20.39  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.73/20.44  
% 33.73/20.44  Inference rules
% 33.73/20.44  ----------------------
% 33.73/20.44  #Ref     : 0
% 33.73/20.44  #Sup     : 32030
% 33.73/20.44  #Fact    : 44
% 33.73/20.44  #Define  : 0
% 33.73/20.44  #Split   : 68
% 33.73/20.44  #Chain   : 0
% 33.73/20.44  #Close   : 0
% 33.73/20.44  
% 33.73/20.44  Ordering : KBO
% 33.73/20.44  
% 33.73/20.44  Simplification rules
% 33.73/20.44  ----------------------
% 33.73/20.44  #Subsume      : 14347
% 33.73/20.44  #Demod        : 1028
% 33.73/20.44  #Tautology    : 1212
% 33.73/20.44  #SimpNegUnit  : 667
% 33.73/20.44  #BackRed      : 0
% 33.73/20.44  
% 33.73/20.44  #Partial instantiations: 0
% 33.73/20.44  #Strategies tried      : 1
% 33.73/20.44  
% 33.73/20.44  Timing (in seconds)
% 33.73/20.44  ----------------------
% 33.73/20.44  Preprocessing        : 0.83
% 33.73/20.44  Parsing              : 0.37
% 33.73/20.44  CNF conversion       : 0.09
% 33.73/20.44  Main loop            : 18.39
% 33.73/20.44  Inferencing          : 4.09
% 33.73/20.44  Reduction            : 4.99
% 33.73/20.44  Demodulation         : 3.07
% 33.73/20.44  BG Simplification    : 0.25
% 33.73/20.44  Subsumption          : 7.97
% 33.73/20.44  Abstraction          : 0.26
% 33.73/20.44  MUC search           : 0.00
% 33.73/20.44  Cooper               : 0.00
% 33.73/20.44  Total                : 19.31
% 33.73/20.44  Index Insertion      : 0.00
% 33.73/20.44  Index Deletion       : 0.00
% 33.73/20.44  Index Matching       : 0.00
% 33.73/20.44  BG Taut test         : 0.00
%------------------------------------------------------------------------------