TSTP Solution File: PRO009+4 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 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 : n032.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 10:53:45 EDT 2023

% Result   : Theorem 13.17s 4.68s
% Output   : CNFRefutation 13.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  193 (  46 unt;  38 typ;   0 def)
%            Number of atoms       :  411 (  52 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  468 ( 212   ~; 211   |;  30   &)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   60 (  32   >;  28   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  185 (; 173   !;  12   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ next_subocc > min_precedes > subactivity_occurrence > subactivity > root_occ > root > precedes > occurrence_of > leaf_occ > leaf > earlier > atocc > legal > atomic > arboreal > activity_occurrence > activity > #nlpp > tptp4 > tptp3 > tptp2 > tptp1 > tptp0 > #skF_5 > #skF_6 > #skF_12 > #skF_16 > #skF_15 > #skF_10 > #skF_8 > #skF_11 > #skF_13 > #skF_3 > #skF_14 > #skF_2 > #skF_7 > #skF_1 > #skF_9 > #skF_4

%Foreground sorts:

%Background operators:

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

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

tff(tptp1,type,
    tptp1: $i ).

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

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

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

tff(tptp2,type,
    tptp2: $i ).

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

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

tff(tptp0,type,
    tptp0: $i ).

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

tff(tptp3,type,
    tptp3: $i ).

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

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

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

tff(tptp4,type,
    tptp4: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_335,negated_conjecture,
    ~ ! [X105] :
        ( occurrence_of(X105,tptp0)
       => ? [X106,X107] :
            ( occurrence_of(X106,tptp3)
            & root_occ(X106,X105)
            & ( occurrence_of(X107,tptp2)
              | occurrence_of(X107,tptp1) )
            & min_precedes(X106,X107,tptp0)
            & leaf_occ(X107,X105) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

tff(f_303,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

tff(f_300,axiom,
    ! [X101] :
      ( occurrence_of(X101,tptp0)
     => ? [X102,X103,X104] :
          ( occurrence_of(X102,tptp3)
          & root_occ(X102,X101)
          & occurrence_of(X103,tptp4)
          & next_subocc(X102,X103,tptp0)
          & ( occurrence_of(X104,tptp2)
            | occurrence_of(X104,tptp1) )
          & next_subocc(X103,X104,tptp0)
          & leaf_occ(X104,X101) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

tff(f_197,axiom,
    ! [X58,X59] :
      ( root_occ(X58,X59)
    <=> ? [X60] :
          ( occurrence_of(X59,X60)
          & subactivity_occurrence(X58,X59)
          & root(X58,X60) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

tff(f_116,axiom,
    ! [X28,X29,X30] :
      ( ( occurrence_of(X28,X29)
        & occurrence_of(X28,X30) )
     => ( X29 = X30 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

tff(f_188,axiom,
    ! [X55,X56] :
      ( leaf_occ(X55,X56)
    <=> ? [X57] :
          ( occurrence_of(X56,X57)
          & subactivity_occurrence(X55,X56)
          & leaf(X55,X57) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

tff(f_34,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,X0)
        & ~ atomic(X0) )
     => ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

tff(f_267,axiom,
    ! [X90,X91,X92,X93] :
      ( ( occurrence_of(X92,X93)
        & root_occ(X90,X92)
        & root_occ(X91,X92) )
     => ( X90 = X91 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

tff(f_240,axiom,
    ! [X78,X79,X80] :
      ( next_subocc(X78,X79,X80)
    <=> ( min_precedes(X78,X79,X80)
        & ~ ? [X81] :
              ( min_precedes(X78,X81,X80)
              & min_precedes(X81,X79,X80) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).

tff(f_169,axiom,
    ! [X47,X48] :
      ( leaf(X47,X48)
    <=> ( ( root(X47,X48)
          | ? [X49] : min_precedes(X49,X47,X48) )
        & ~ ? [X50] : min_precedes(X47,X50,X48) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

tff(f_179,axiom,
    ! [X53,X54] :
      ( root(X53,X54)
     => legal(X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

tff(f_149,axiom,
    ! [X43] :
      ( legal(X43)
     => arboreal(X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

tff(f_248,axiom,
    ! [X82,X83,X84,X85] :
      ( ( min_precedes(X82,X83,X84)
        & occurrence_of(X85,X84)
        & subactivity_occurrence(X83,X85) )
     => subactivity_occurrence(X82,X85) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).

tff(f_138,axiom,
    ! [X39,X40] :
      ( subactivity_occurrence(X39,X40)
     => ( activity_occurrence(X39)
        & activity_occurrence(X40) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

tff(f_145,axiom,
    ! [X41] :
      ( activity_occurrence(X41)
     => ? [X42] :
          ( activity(X42)
          & occurrence_of(X41,X42) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

tff(f_62,axiom,
    ! [X8,X9,X10,X11] :
      ( ( occurrence_of(X9,X8)
        & subactivity_occurrence(X10,X9)
        & leaf_occ(X11,X9)
        & arboreal(X10)
        & ~ min_precedes(X10,X11,X8) )
     => ( X11 = X10 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

tff(c_160,plain,
    occurrence_of('#skF_16',tptp0),
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_138,plain,
    ~ atomic(tptp0),
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_132,plain,
    ! [X101_116] :
      ( root_occ('#skF_13'(X101_116),X101_116)
      | ~ occurrence_of(X101_116,tptp0) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_82,plain,
    ! [X59_70,X58_69] :
      ( occurrence_of(X59_70,'#skF_10'(X58_69,X59_70))
      | ~ root_occ(X58_69,X59_70) ),
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_375,plain,
    ! [X30_210,X29_211,X28_212] :
      ( ( X30_210 = X29_211 )
      | ~ occurrence_of(X28_212,X30_210)
      | ~ occurrence_of(X28_212,X29_211) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_394,plain,
    ! [X29_213] :
      ( ( tptp0 = X29_213 )
      | ~ occurrence_of('#skF_16',X29_213) ),
    inference(resolution,[status(thm)],[c_160,c_375]) ).

tff(c_444,plain,
    ! [X58_215] :
      ( ( '#skF_10'(X58_215,'#skF_16') = tptp0 )
      | ~ root_occ(X58_215,'#skF_16') ),
    inference(resolution,[status(thm)],[c_82,c_394]) ).

tff(c_448,plain,
    ( ( '#skF_10'('#skF_13'('#skF_16'),'#skF_16') = tptp0 )
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_132,c_444]) ).

tff(c_451,plain,
    '#skF_10'('#skF_13'('#skF_16'),'#skF_16') = tptp0,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_448]) ).

tff(c_78,plain,
    ! [X58_69,X59_70] :
      ( root(X58_69,'#skF_10'(X58_69,X59_70))
      | ~ root_occ(X58_69,X59_70) ),
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_455,plain,
    ( root('#skF_13'('#skF_16'),tptp0)
    | ~ root_occ('#skF_13'('#skF_16'),'#skF_16') ),
    inference(superposition,[status(thm),theory(equality)],[c_451,c_78]) ).

tff(c_612,plain,
    ~ root_occ('#skF_13'('#skF_16'),'#skF_16'),
    inference(splitLeft,[status(thm)],[c_455]) ).

tff(c_616,plain,
    ~ occurrence_of('#skF_16',tptp0),
    inference(resolution,[status(thm)],[c_132,c_612]) ).

tff(c_620,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_616]) ).

tff(c_622,plain,
    root_occ('#skF_13'('#skF_16'),'#skF_16'),
    inference(splitRight,[status(thm)],[c_455]) ).

tff(c_122,plain,
    ! [X101_116] :
      ( leaf_occ('#skF_15'(X101_116),X101_116)
      | ~ occurrence_of(X101_116,tptp0) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_516,plain,
    ! [X56_225,X55_226] :
      ( occurrence_of(X56_225,'#skF_9'(X55_226,X56_225))
      | ~ leaf_occ(X55_226,X56_225) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_393,plain,
    ! [X29_211] :
      ( ( tptp0 = X29_211 )
      | ~ occurrence_of('#skF_16',X29_211) ),
    inference(resolution,[status(thm)],[c_160,c_375]) ).

tff(c_542,plain,
    ! [X55_229] :
      ( ( '#skF_9'(X55_229,'#skF_16') = tptp0 )
      | ~ leaf_occ(X55_229,'#skF_16') ),
    inference(resolution,[status(thm)],[c_516,c_393]) ).

tff(c_546,plain,
    ( ( '#skF_9'('#skF_15'('#skF_16'),'#skF_16') = tptp0 )
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_122,c_542]) ).

tff(c_549,plain,
    '#skF_9'('#skF_15'('#skF_16'),'#skF_16') = tptp0,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_546]) ).

tff(c_74,plain,
    ! [X56_65,X55_64] :
      ( occurrence_of(X56_65,'#skF_9'(X55_64,X56_65))
      | ~ leaf_occ(X55_64,X56_65) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_1378,plain,
    ! [X29_359,X58_360,X59_361] :
      ( ( X29_359 = '#skF_10'(X58_360,X59_361) )
      | ~ occurrence_of(X59_361,X29_359)
      | ~ root_occ(X58_360,X59_361) ),
    inference(resolution,[status(thm)],[c_82,c_375]) ).

tff(c_2584,plain,
    ! [X55_531,X56_532,X58_533] :
      ( ( '#skF_9'(X55_531,X56_532) = '#skF_10'(X58_533,X56_532) )
      | ~ root_occ(X58_533,X56_532)
      | ~ leaf_occ(X55_531,X56_532) ),
    inference(resolution,[status(thm)],[c_74,c_1378]) ).

tff(c_3283,plain,
    ! [X55_638,X101_639] :
      ( ( '#skF_9'(X55_638,X101_639) = '#skF_10'('#skF_13'(X101_639),X101_639) )
      | ~ leaf_occ(X55_638,X101_639)
      | ~ occurrence_of(X101_639,tptp0) ),
    inference(resolution,[status(thm)],[c_132,c_2584]) ).

tff(c_3295,plain,
    ! [X101_640] :
      ( ( '#skF_10'('#skF_13'(X101_640),X101_640) = '#skF_9'('#skF_15'(X101_640),X101_640) )
      | ~ occurrence_of(X101_640,tptp0) ),
    inference(resolution,[status(thm)],[c_122,c_3283]) ).

tff(c_3319,plain,
    ! [X101_640] :
      ( occurrence_of(X101_640,'#skF_9'('#skF_15'(X101_640),X101_640))
      | ~ root_occ('#skF_13'(X101_640),X101_640)
      | ~ occurrence_of(X101_640,tptp0) ),
    inference(superposition,[status(thm),theory(equality)],[c_3295,c_82]) ).

tff(c_2,plain,
    ! [X0_1,X1_2] :
      ( subactivity_occurrence('#skF_1'(X0_1,X1_2),X1_2)
      | atomic(X0_1)
      | ~ occurrence_of(X1_2,X0_1) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_4,plain,
    ! [X0_1,X1_2] :
      ( root('#skF_1'(X0_1,X1_2),X0_1)
      | atomic(X0_1)
      | ~ occurrence_of(X1_2,X0_1) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2128,plain,
    ! [X58_478,X59_479,X60_480] :
      ( root_occ(X58_478,X59_479)
      | ~ root(X58_478,X60_480)
      | ~ subactivity_occurrence(X58_478,X59_479)
      | ~ occurrence_of(X59_479,X60_480) ),
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_11095,plain,
    ! [X0_1140,X1_1141,X59_1142] :
      ( root_occ('#skF_1'(X0_1140,X1_1141),X59_1142)
      | ~ subactivity_occurrence('#skF_1'(X0_1140,X1_1141),X59_1142)
      | ~ occurrence_of(X59_1142,X0_1140)
      | atomic(X0_1140)
      | ~ occurrence_of(X1_1141,X0_1140) ),
    inference(resolution,[status(thm)],[c_4,c_2128]) ).

tff(c_11120,plain,
    ! [X0_1143,X1_1144] :
      ( root_occ('#skF_1'(X0_1143,X1_1144),X1_1144)
      | atomic(X0_1143)
      | ~ occurrence_of(X1_1144,X0_1143) ),
    inference(resolution,[status(thm)],[c_2,c_11095]) ).

tff(c_1681,plain,
    ! [X91_403,X90_404,X92_405,X93_406] :
      ( ( X91_403 = X90_404 )
      | ~ root_occ(X91_403,X92_405)
      | ~ root_occ(X90_404,X92_405)
      | ~ occurrence_of(X92_405,X93_406) ),
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_1686,plain,
    ! [X90_404,X93_406] :
      ( ( X90_404 = '#skF_13'('#skF_16') )
      | ~ root_occ(X90_404,'#skF_16')
      | ~ occurrence_of('#skF_16',X93_406) ),
    inference(resolution,[status(thm)],[c_622,c_1681]) ).

tff(c_1688,plain,
    ! [X93_406] : ~ occurrence_of('#skF_16',X93_406),
    inference(splitLeft,[status(thm)],[c_1686]) ).

tff(c_1690,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1688,c_160]) ).

tff(c_1691,plain,
    ! [X90_404] :
      ( ( X90_404 = '#skF_13'('#skF_16') )
      | ~ root_occ(X90_404,'#skF_16') ),
    inference(splitRight,[status(thm)],[c_1686]) ).

tff(c_11195,plain,
    ! [X0_1145] :
      ( ( '#skF_13'('#skF_16') = '#skF_1'(X0_1145,'#skF_16') )
      | atomic(X0_1145)
      | ~ occurrence_of('#skF_16',X0_1145) ),
    inference(resolution,[status(thm)],[c_11120,c_1691]) ).

tff(c_11199,plain,
    ( ( '#skF_1'('#skF_9'('#skF_15'('#skF_16'),'#skF_16'),'#skF_16') = '#skF_13'('#skF_16') )
    | atomic('#skF_9'('#skF_15'('#skF_16'),'#skF_16'))
    | ~ root_occ('#skF_13'('#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_3319,c_11195]) ).

tff(c_11221,plain,
    ( ( '#skF_13'('#skF_16') = '#skF_1'(tptp0,'#skF_16') )
    | atomic(tptp0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_622,c_549,c_549,c_11199]) ).

tff(c_11222,plain,
    '#skF_13'('#skF_16') = '#skF_1'(tptp0,'#skF_16'),
    inference(negUnitSimplification,[status(thm)],[c_138,c_11221]) ).

tff(c_693,plain,
    ! [X101_244] :
      ( next_subocc('#skF_13'(X101_244),'#skF_14'(X101_244),tptp0)
      | ~ occurrence_of(X101_244,tptp0) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_106,plain,
    ! [X78_91,X79_92,X80_93] :
      ( min_precedes(X78_91,X79_92,X80_93)
      | ~ next_subocc(X78_91,X79_92,X80_93) ),
    inference(cnfTransformation,[status(thm)],[f_240]) ).

tff(c_830,plain,
    ! [X101_271] :
      ( min_precedes('#skF_13'(X101_271),'#skF_14'(X101_271),tptp0)
      | ~ occurrence_of(X101_271,tptp0) ),
    inference(resolution,[status(thm)],[c_693,c_106]) ).

tff(c_54,plain,
    ! [X47_52,X50_59,X48_53] :
      ( ~ min_precedes(X47_52,X50_59,X48_53)
      | ~ leaf(X47_52,X48_53) ),
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_848,plain,
    ! [X101_271] :
      ( ~ leaf('#skF_13'(X101_271),tptp0)
      | ~ occurrence_of(X101_271,tptp0) ),
    inference(resolution,[status(thm)],[c_830,c_54]) ).

tff(c_11349,plain,
    ( ~ leaf('#skF_1'(tptp0,'#skF_16'),tptp0)
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(superposition,[status(thm),theory(equality)],[c_11222,c_848]) ).

tff(c_11433,plain,
    ~ leaf('#skF_1'(tptp0,'#skF_16'),tptp0),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_11349]) ).

tff(c_621,plain,
    root('#skF_13'('#skF_16'),tptp0),
    inference(splitRight,[status(thm)],[c_455]) ).

tff(c_66,plain,
    ! [X53_62,X54_63] :
      ( legal(X53_62)
      | ~ root(X53_62,X54_63) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_630,plain,
    legal('#skF_13'('#skF_16')),
    inference(resolution,[status(thm)],[c_621,c_66]) ).

tff(c_44,plain,
    ! [X43_46] :
      ( arboreal(X43_46)
      | ~ legal(X43_46) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_634,plain,
    arboreal('#skF_13'('#skF_16')),
    inference(resolution,[status(thm)],[c_630,c_44]) ).

tff(c_11257,plain,
    arboreal('#skF_1'(tptp0,'#skF_16')),
    inference(demodulation,[status(thm),theory(equality)],[c_11222,c_634]) ).

tff(c_134,plain,
    ! [X101_116] :
      ( occurrence_of('#skF_13'(X101_116),tptp3)
      | ~ occurrence_of(X101_116,tptp0) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_162,plain,
    ! [X107_123,X106_122] :
      ( ~ occurrence_of(X107_123,tptp1)
      | ~ leaf_occ(X107_123,'#skF_16')
      | ~ min_precedes(X106_122,X107_123,tptp0)
      | ~ root_occ(X106_122,'#skF_16')
      | ~ occurrence_of(X106_122,tptp3) ),
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_964,plain,
    ! [X101_300] :
      ( ~ occurrence_of('#skF_14'(X101_300),tptp1)
      | ~ leaf_occ('#skF_14'(X101_300),'#skF_16')
      | ~ root_occ('#skF_13'(X101_300),'#skF_16')
      | ~ occurrence_of('#skF_13'(X101_300),tptp3)
      | ~ occurrence_of(X101_300,tptp0) ),
    inference(resolution,[status(thm)],[c_830,c_162]) ).

tff(c_971,plain,
    ( ~ occurrence_of('#skF_14'('#skF_16'),tptp1)
    | ~ leaf_occ('#skF_14'('#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_13'('#skF_16'),tptp3)
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_132,c_964]) ).

tff(c_977,plain,
    ( ~ occurrence_of('#skF_14'('#skF_16'),tptp1)
    | ~ leaf_occ('#skF_14'('#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_13'('#skF_16'),tptp3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_971]) ).

tff(c_1035,plain,
    ~ occurrence_of('#skF_13'('#skF_16'),tptp3),
    inference(splitLeft,[status(thm)],[c_977]) ).

tff(c_1038,plain,
    ~ occurrence_of('#skF_16',tptp0),
    inference(resolution,[status(thm)],[c_134,c_1035]) ).

tff(c_1042,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_1038]) ).

tff(c_1044,plain,
    occurrence_of('#skF_13'('#skF_16'),tptp3),
    inference(splitRight,[status(thm)],[c_977]) ).

tff(c_11255,plain,
    occurrence_of('#skF_1'(tptp0,'#skF_16'),tptp3),
    inference(demodulation,[status(thm),theory(equality)],[c_11222,c_1044]) ).

tff(c_11256,plain,
    root_occ('#skF_1'(tptp0,'#skF_16'),'#skF_16'),
    inference(demodulation,[status(thm),theory(equality)],[c_11222,c_622]) ).

tff(c_70,plain,
    ! [X55_64,X56_65] :
      ( leaf(X55_64,'#skF_9'(X55_64,X56_65))
      | ~ leaf_occ(X55_64,X56_65) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_559,plain,
    ( leaf('#skF_15'('#skF_16'),tptp0)
    | ~ leaf_occ('#skF_15'('#skF_16'),'#skF_16') ),
    inference(superposition,[status(thm),theory(equality)],[c_549,c_70]) ).

tff(c_656,plain,
    ~ leaf_occ('#skF_15'('#skF_16'),'#skF_16'),
    inference(splitLeft,[status(thm)],[c_559]) ).

tff(c_659,plain,
    ~ occurrence_of('#skF_16',tptp0),
    inference(resolution,[status(thm)],[c_122,c_656]) ).

tff(c_663,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_659]) ).

tff(c_665,plain,
    leaf_occ('#skF_15'('#skF_16'),'#skF_16'),
    inference(splitRight,[status(thm)],[c_559]) ).

tff(c_703,plain,
    ! [X101_244] :
      ( min_precedes('#skF_13'(X101_244),'#skF_14'(X101_244),tptp0)
      | ~ occurrence_of(X101_244,tptp0) ),
    inference(resolution,[status(thm)],[c_693,c_106]) ).

tff(c_566,plain,
    ! [X101_233] :
      ( next_subocc('#skF_14'(X101_233),'#skF_15'(X101_233),tptp0)
      | ~ occurrence_of(X101_233,tptp0) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_576,plain,
    ! [X101_233] :
      ( min_precedes('#skF_14'(X101_233),'#skF_15'(X101_233),tptp0)
      | ~ occurrence_of(X101_233,tptp0) ),
    inference(resolution,[status(thm)],[c_566,c_106]) ).

tff(c_72,plain,
    ! [X55_64,X56_65] :
      ( subactivity_occurrence(X55_64,X56_65)
      | ~ leaf_occ(X55_64,X56_65) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_2608,plain,
    ! [X82_537,X85_538,X83_539,X84_540] :
      ( subactivity_occurrence(X82_537,X85_538)
      | ~ subactivity_occurrence(X83_539,X85_538)
      | ~ occurrence_of(X85_538,X84_540)
      | ~ min_precedes(X82_537,X83_539,X84_540) ),
    inference(cnfTransformation,[status(thm)],[f_248]) ).

tff(c_2961,plain,
    ! [X82_582,X56_583,X84_584,X55_585] :
      ( subactivity_occurrence(X82_582,X56_583)
      | ~ occurrence_of(X56_583,X84_584)
      | ~ min_precedes(X82_582,X55_585,X84_584)
      | ~ leaf_occ(X55_585,X56_583) ),
    inference(resolution,[status(thm)],[c_72,c_2608]) ).

tff(c_2995,plain,
    ! [X82_586,X55_587] :
      ( subactivity_occurrence(X82_586,'#skF_16')
      | ~ min_precedes(X82_586,X55_587,tptp0)
      | ~ leaf_occ(X55_587,'#skF_16') ),
    inference(resolution,[status(thm)],[c_160,c_2961]) ).

tff(c_3071,plain,
    ! [X101_593] :
      ( subactivity_occurrence('#skF_14'(X101_593),'#skF_16')
      | ~ leaf_occ('#skF_15'(X101_593),'#skF_16')
      | ~ occurrence_of(X101_593,tptp0) ),
    inference(resolution,[status(thm)],[c_576,c_2995]) ).

tff(c_112,plain,
    ! [X82_97,X85_100,X83_98,X84_99] :
      ( subactivity_occurrence(X82_97,X85_100)
      | ~ subactivity_occurrence(X83_98,X85_100)
      | ~ occurrence_of(X85_100,X84_99)
      | ~ min_precedes(X82_97,X83_98,X84_99) ),
    inference(cnfTransformation,[status(thm)],[f_248]) ).

tff(c_9249,plain,
    ! [X82_1009,X84_1010,X101_1011] :
      ( subactivity_occurrence(X82_1009,'#skF_16')
      | ~ occurrence_of('#skF_16',X84_1010)
      | ~ min_precedes(X82_1009,'#skF_14'(X101_1011),X84_1010)
      | ~ leaf_occ('#skF_15'(X101_1011),'#skF_16')
      | ~ occurrence_of(X101_1011,tptp0) ),
    inference(resolution,[status(thm)],[c_3071,c_112]) ).

tff(c_9264,plain,
    ! [X101_244] :
      ( subactivity_occurrence('#skF_13'(X101_244),'#skF_16')
      | ~ occurrence_of('#skF_16',tptp0)
      | ~ leaf_occ('#skF_15'(X101_244),'#skF_16')
      | ~ occurrence_of(X101_244,tptp0) ),
    inference(resolution,[status(thm)],[c_703,c_9249]) ).

tff(c_9270,plain,
    ! [X101_244] :
      ( subactivity_occurrence('#skF_13'(X101_244),'#skF_16')
      | ~ leaf_occ('#skF_15'(X101_244),'#skF_16')
      | ~ occurrence_of(X101_244,tptp0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_9264]) ).

tff(c_11283,plain,
    ( subactivity_occurrence('#skF_1'(tptp0,'#skF_16'),'#skF_16')
    | ~ leaf_occ('#skF_15'('#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(superposition,[status(thm),theory(equality)],[c_11222,c_9270]) ).

tff(c_11389,plain,
    subactivity_occurrence('#skF_1'(tptp0,'#skF_16'),'#skF_16'),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_665,c_11283]) ).

tff(c_195,plain,
    ! [X55_149,X56_150] :
      ( subactivity_occurrence(X55_149,X56_150)
      | ~ leaf_occ(X55_149,X56_150) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_38,plain,
    ! [X39_42,X40_43] :
      ( activity_occurrence(X39_42)
      | ~ subactivity_occurrence(X39_42,X40_43) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_203,plain,
    ! [X55_149,X56_150] :
      ( activity_occurrence(X55_149)
      | ~ leaf_occ(X55_149,X56_150) ),
    inference(resolution,[status(thm)],[c_195,c_38]) ).

tff(c_678,plain,
    activity_occurrence('#skF_15'('#skF_16')),
    inference(resolution,[status(thm)],[c_665,c_203]) ).

tff(c_5858,plain,
    ! [X0_842,X1_843,X59_844] :
      ( root_occ('#skF_1'(X0_842,X1_843),X59_844)
      | ~ subactivity_occurrence('#skF_1'(X0_842,X1_843),X59_844)
      | ~ occurrence_of(X59_844,X0_842)
      | atomic(X0_842)
      | ~ occurrence_of(X1_843,X0_842) ),
    inference(resolution,[status(thm)],[c_4,c_2128]) ).

tff(c_5883,plain,
    ! [X0_845,X1_846] :
      ( root_occ('#skF_1'(X0_845,X1_846),X1_846)
      | atomic(X0_845)
      | ~ occurrence_of(X1_846,X0_845) ),
    inference(resolution,[status(thm)],[c_2,c_5858]) ).

tff(c_5958,plain,
    ! [X0_847] :
      ( ( '#skF_13'('#skF_16') = '#skF_1'(X0_847,'#skF_16') )
      | atomic(X0_847)
      | ~ occurrence_of('#skF_16',X0_847) ),
    inference(resolution,[status(thm)],[c_5883,c_1691]) ).

tff(c_5962,plain,
    ( ( '#skF_1'('#skF_9'('#skF_15'('#skF_16'),'#skF_16'),'#skF_16') = '#skF_13'('#skF_16') )
    | atomic('#skF_9'('#skF_15'('#skF_16'),'#skF_16'))
    | ~ root_occ('#skF_13'('#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_3319,c_5958]) ).

tff(c_5984,plain,
    ( ( '#skF_13'('#skF_16') = '#skF_1'(tptp0,'#skF_16') )
    | atomic(tptp0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_622,c_549,c_549,c_5962]) ).

tff(c_5985,plain,
    '#skF_13'('#skF_16') = '#skF_1'(tptp0,'#skF_16'),
    inference(negUnitSimplification,[status(thm)],[c_138,c_5984]) ).

tff(c_6112,plain,
    ( ~ leaf('#skF_1'(tptp0,'#skF_16'),tptp0)
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(superposition,[status(thm),theory(equality)],[c_5985,c_848]) ).

tff(c_6196,plain,
    ~ leaf('#skF_1'(tptp0,'#skF_16'),tptp0),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_6112]) ).

tff(c_6020,plain,
    arboreal('#skF_1'(tptp0,'#skF_16')),
    inference(demodulation,[status(thm),theory(equality)],[c_5985,c_634]) ).

tff(c_6018,plain,
    occurrence_of('#skF_1'(tptp0,'#skF_16'),tptp3),
    inference(demodulation,[status(thm),theory(equality)],[c_5985,c_1044]) ).

tff(c_6019,plain,
    root_occ('#skF_1'(tptp0,'#skF_16'),'#skF_16'),
    inference(demodulation,[status(thm),theory(equality)],[c_5985,c_622]) ).

tff(c_4068,plain,
    ! [X82_718,X84_719,X101_720] :
      ( subactivity_occurrence(X82_718,'#skF_16')
      | ~ occurrence_of('#skF_16',X84_719)
      | ~ min_precedes(X82_718,'#skF_14'(X101_720),X84_719)
      | ~ leaf_occ('#skF_15'(X101_720),'#skF_16')
      | ~ occurrence_of(X101_720,tptp0) ),
    inference(resolution,[status(thm)],[c_3071,c_112]) ).

tff(c_4083,plain,
    ! [X101_244] :
      ( subactivity_occurrence('#skF_13'(X101_244),'#skF_16')
      | ~ occurrence_of('#skF_16',tptp0)
      | ~ leaf_occ('#skF_15'(X101_244),'#skF_16')
      | ~ occurrence_of(X101_244,tptp0) ),
    inference(resolution,[status(thm)],[c_703,c_4068]) ).

tff(c_4089,plain,
    ! [X101_244] :
      ( subactivity_occurrence('#skF_13'(X101_244),'#skF_16')
      | ~ leaf_occ('#skF_15'(X101_244),'#skF_16')
      | ~ occurrence_of(X101_244,tptp0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_4083]) ).

tff(c_6046,plain,
    ( subactivity_occurrence('#skF_1'(tptp0,'#skF_16'),'#skF_16')
    | ~ leaf_occ('#skF_15'('#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(superposition,[status(thm),theory(equality)],[c_5985,c_4089]) ).

tff(c_6152,plain,
    subactivity_occurrence('#skF_1'(tptp0,'#skF_16'),'#skF_16'),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_665,c_6046]) ).

tff(c_40,plain,
    ! [X41_44] :
      ( occurrence_of(X41_44,'#skF_5'(X41_44))
      | ~ activity_occurrence(X41_44) ),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_1609,plain,
    ! [X101_391] :
      ( occurrence_of('#skF_15'(X101_391),tptp1)
      | occurrence_of('#skF_15'(X101_391),tptp2)
      | ~ occurrence_of(X101_391,tptp0) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_30,plain,
    ! [X30_31,X29_30,X28_29] :
      ( ( X30_31 = X29_30 )
      | ~ occurrence_of(X28_29,X30_31)
      | ~ occurrence_of(X28_29,X29_30) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_3105,plain,
    ! [X29_596,X101_597] :
      ( ( tptp2 = X29_596 )
      | ~ occurrence_of('#skF_15'(X101_597),X29_596)
      | occurrence_of('#skF_15'(X101_597),tptp1)
      | ~ occurrence_of(X101_597,tptp0) ),
    inference(resolution,[status(thm)],[c_1609,c_30]) ).

tff(c_3789,plain,
    ! [X101_704] :
      ( ( '#skF_5'('#skF_15'(X101_704)) = tptp2 )
      | occurrence_of('#skF_15'(X101_704),tptp1)
      | ~ occurrence_of(X101_704,tptp0)
      | ~ activity_occurrence('#skF_15'(X101_704)) ),
    inference(resolution,[status(thm)],[c_40,c_3105]) ).

tff(c_392,plain,
    ! [X29_211,X41_44] :
      ( ( X29_211 = '#skF_5'(X41_44) )
      | ~ occurrence_of(X41_44,X29_211)
      | ~ activity_occurrence(X41_44) ),
    inference(resolution,[status(thm)],[c_40,c_375]) ).

tff(c_3897,plain,
    ! [X101_713] :
      ( ( '#skF_5'('#skF_15'(X101_713)) = tptp1 )
      | ( '#skF_5'('#skF_15'(X101_713)) = tptp2 )
      | ~ occurrence_of(X101_713,tptp0)
      | ~ activity_occurrence('#skF_15'(X101_713)) ),
    inference(resolution,[status(thm)],[c_3789,c_392]) ).

tff(c_3900,plain,
    ( ( '#skF_5'('#skF_15'('#skF_16')) = tptp1 )
    | ( '#skF_5'('#skF_15'('#skF_16')) = tptp2 )
    | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_678,c_3897]) ).

tff(c_3906,plain,
    ( ( '#skF_5'('#skF_15'('#skF_16')) = tptp1 )
    | ( '#skF_5'('#skF_15'('#skF_16')) = tptp2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_3900]) ).

tff(c_3908,plain,
    '#skF_5'('#skF_15'('#skF_16')) = tptp2,
    inference(splitLeft,[status(thm)],[c_3906]) ).

tff(c_3938,plain,
    ( occurrence_of('#skF_15'('#skF_16'),tptp2)
    | ~ activity_occurrence('#skF_15'('#skF_16')) ),
    inference(superposition,[status(thm),theory(equality)],[c_3908,c_40]) ).

tff(c_3953,plain,
    occurrence_of('#skF_15'('#skF_16'),tptp2),
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_3938]) ).

tff(c_3176,plain,
    ! [X11_609,X10_610,X8_611,X9_612] :
      ( ( X11_609 = X10_610 )
      | min_precedes(X10_610,X11_609,X8_611)
      | ~ arboreal(X10_610)
      | ~ leaf_occ(X11_609,X9_612)
      | ~ subactivity_occurrence(X10_610,X9_612)
      | ~ occurrence_of(X9_612,X8_611) ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_6536,plain,
    ! [X10_865,X101_866,X8_867] :
      ( ( X10_865 = '#skF_15'(X101_866) )
      | min_precedes(X10_865,'#skF_15'(X101_866),X8_867)
      | ~ arboreal(X10_865)
      | ~ subactivity_occurrence(X10_865,X101_866)
      | ~ occurrence_of(X101_866,X8_867)
      | ~ occurrence_of(X101_866,tptp0) ),
    inference(resolution,[status(thm)],[c_122,c_3176]) ).

tff(c_164,plain,
    ! [X107_123,X106_122] :
      ( ~ occurrence_of(X107_123,tptp2)
      | ~ leaf_occ(X107_123,'#skF_16')
      | ~ min_precedes(X106_122,X107_123,tptp0)
      | ~ root_occ(X106_122,'#skF_16')
      | ~ occurrence_of(X106_122,tptp3) ),
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_6819,plain,
    ! [X101_876,X10_877] :
      ( ~ occurrence_of('#skF_15'(X101_876),tptp2)
      | ~ leaf_occ('#skF_15'(X101_876),'#skF_16')
      | ~ root_occ(X10_877,'#skF_16')
      | ~ occurrence_of(X10_877,tptp3)
      | ( X10_877 = '#skF_15'(X101_876) )
      | ~ arboreal(X10_877)
      | ~ subactivity_occurrence(X10_877,X101_876)
      | ~ occurrence_of(X101_876,tptp0) ),
    inference(resolution,[status(thm)],[c_6536,c_164]) ).

tff(c_6823,plain,
    ! [X10_877] :
      ( ~ leaf_occ('#skF_15'('#skF_16'),'#skF_16')
      | ~ root_occ(X10_877,'#skF_16')
      | ~ occurrence_of(X10_877,tptp3)
      | ( X10_877 = '#skF_15'('#skF_16') )
      | ~ arboreal(X10_877)
      | ~ subactivity_occurrence(X10_877,'#skF_16')
      | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_3953,c_6819]) ).

tff(c_9070,plain,
    ! [X10_1005] :
      ( ~ root_occ(X10_1005,'#skF_16')
      | ~ occurrence_of(X10_1005,tptp3)
      | ( X10_1005 = '#skF_15'('#skF_16') )
      | ~ arboreal(X10_1005)
      | ~ subactivity_occurrence(X10_1005,'#skF_16') ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_665,c_6823]) ).

tff(c_9073,plain,
    ( ~ root_occ('#skF_1'(tptp0,'#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_1'(tptp0,'#skF_16'),tptp3)
    | ( '#skF_15'('#skF_16') = '#skF_1'(tptp0,'#skF_16') )
    | ~ arboreal('#skF_1'(tptp0,'#skF_16')) ),
    inference(resolution,[status(thm)],[c_6152,c_9070]) ).

tff(c_9106,plain,
    '#skF_15'('#skF_16') = '#skF_1'(tptp0,'#skF_16'),
    inference(demodulation,[status(thm),theory(equality)],[c_6020,c_6018,c_6019,c_9073]) ).

tff(c_664,plain,
    leaf('#skF_15'('#skF_16'),tptp0),
    inference(splitRight,[status(thm)],[c_559]) ).

tff(c_9137,plain,
    leaf('#skF_1'(tptp0,'#skF_16'),tptp0),
    inference(demodulation,[status(thm),theory(equality)],[c_9106,c_664]) ).

tff(c_9143,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6196,c_9137]) ).

tff(c_9144,plain,
    '#skF_5'('#skF_15'('#skF_16')) = tptp1,
    inference(splitRight,[status(thm)],[c_3906]) ).

tff(c_9175,plain,
    ( occurrence_of('#skF_15'('#skF_16'),tptp1)
    | ~ activity_occurrence('#skF_15'('#skF_16')) ),
    inference(superposition,[status(thm),theory(equality)],[c_9144,c_40]) ).

tff(c_9190,plain,
    occurrence_of('#skF_15'('#skF_16'),tptp1),
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_9175]) ).

tff(c_12123,plain,
    ! [X10_1179,X101_1180,X8_1181] :
      ( ( X10_1179 = '#skF_15'(X101_1180) )
      | min_precedes(X10_1179,'#skF_15'(X101_1180),X8_1181)
      | ~ arboreal(X10_1179)
      | ~ subactivity_occurrence(X10_1179,X101_1180)
      | ~ occurrence_of(X101_1180,X8_1181)
      | ~ occurrence_of(X101_1180,tptp0) ),
    inference(resolution,[status(thm)],[c_122,c_3176]) ).

tff(c_12218,plain,
    ! [X101_1182,X10_1183] :
      ( ~ occurrence_of('#skF_15'(X101_1182),tptp1)
      | ~ leaf_occ('#skF_15'(X101_1182),'#skF_16')
      | ~ root_occ(X10_1183,'#skF_16')
      | ~ occurrence_of(X10_1183,tptp3)
      | ( X10_1183 = '#skF_15'(X101_1182) )
      | ~ arboreal(X10_1183)
      | ~ subactivity_occurrence(X10_1183,X101_1182)
      | ~ occurrence_of(X101_1182,tptp0) ),
    inference(resolution,[status(thm)],[c_12123,c_162]) ).

tff(c_12220,plain,
    ! [X10_1183] :
      ( ~ leaf_occ('#skF_15'('#skF_16'),'#skF_16')
      | ~ root_occ(X10_1183,'#skF_16')
      | ~ occurrence_of(X10_1183,tptp3)
      | ( X10_1183 = '#skF_15'('#skF_16') )
      | ~ arboreal(X10_1183)
      | ~ subactivity_occurrence(X10_1183,'#skF_16')
      | ~ occurrence_of('#skF_16',tptp0) ),
    inference(resolution,[status(thm)],[c_9190,c_12218]) ).

tff(c_14221,plain,
    ! [X10_1289] :
      ( ~ root_occ(X10_1289,'#skF_16')
      | ~ occurrence_of(X10_1289,tptp3)
      | ( X10_1289 = '#skF_15'('#skF_16') )
      | ~ arboreal(X10_1289)
      | ~ subactivity_occurrence(X10_1289,'#skF_16') ),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_665,c_12220]) ).

tff(c_14224,plain,
    ( ~ root_occ('#skF_1'(tptp0,'#skF_16'),'#skF_16')
    | ~ occurrence_of('#skF_1'(tptp0,'#skF_16'),tptp3)
    | ( '#skF_15'('#skF_16') = '#skF_1'(tptp0,'#skF_16') )
    | ~ arboreal('#skF_1'(tptp0,'#skF_16')) ),
    inference(resolution,[status(thm)],[c_11389,c_14221]) ).

tff(c_14257,plain,
    '#skF_15'('#skF_16') = '#skF_1'(tptp0,'#skF_16'),
    inference(demodulation,[status(thm),theory(equality)],[c_11257,c_11255,c_11256,c_14224]) ).

tff(c_14288,plain,
    leaf('#skF_1'(tptp0,'#skF_16'),tptp0),
    inference(demodulation,[status(thm),theory(equality)],[c_14257,c_664]) ).

tff(c_14294,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11433,c_14288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % 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
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Thu Aug  3 21:53:36 EDT 2023
% 0.12/0.31  % CPUTime  : 
% 13.17/4.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.17/4.70  
% 13.17/4.70  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.17/4.74  
% 13.17/4.74  Inference rules
% 13.17/4.74  ----------------------
% 13.17/4.74  #Ref     : 0
% 13.17/4.74  #Sup     : 3167
% 13.17/4.74  #Fact    : 6
% 13.17/4.74  #Define  : 0
% 13.17/4.74  #Split   : 27
% 13.17/4.74  #Chain   : 0
% 13.17/4.74  #Close   : 0
% 13.17/4.74  
% 13.17/4.74  Ordering : KBO
% 13.17/4.74  
% 13.17/4.74  Simplification rules
% 13.17/4.74  ----------------------
% 13.17/4.74  #Subsume      : 924
% 13.17/4.74  #Demod        : 1392
% 13.17/4.74  #Tautology    : 687
% 13.17/4.74  #SimpNegUnit  : 103
% 13.17/4.74  #BackRed      : 107
% 13.17/4.74  
% 13.17/4.74  #Partial instantiations: 0
% 13.17/4.74  #Strategies tried      : 1
% 13.17/4.74  
% 13.17/4.74  Timing (in seconds)
% 13.17/4.74  ----------------------
% 13.17/4.74  Preprocessing        : 0.59
% 13.17/4.74  Parsing              : 0.30
% 13.17/4.74  CNF conversion       : 0.05
% 13.17/4.74  Main loop            : 3.15
% 13.17/4.74  Inferencing          : 1.07
% 13.17/4.74  Reduction            : 0.91
% 13.17/4.74  Demodulation         : 0.59
% 13.17/4.74  BG Simplification    : 0.07
% 13.17/4.74  Subsumption          : 0.86
% 13.17/4.74  Abstraction          : 0.07
% 13.17/4.74  MUC search           : 0.00
% 13.17/4.74  Cooper               : 0.00
% 13.17/4.74  Total                : 3.81
% 13.17/4.74  Index Insertion      : 0.00
% 13.17/4.74  Index Deletion       : 0.00
% 13.17/4.74  Index Matching       : 0.00
% 13.17/4.74  BG Taut test         : 0.00
%------------------------------------------------------------------------------