TSTP Solution File: SYN036-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.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 Aug 31 19:36:36 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  128 (   1 unt;   0 def)
%            Number of atoms       :  498 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  580 ( 210   ~; 344   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   29 (  28 usr;  27 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-1 aty)
%            Number of variables   :  122 ( 122   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f447,plain,
    $false,
    inference(avatar_sat_refutation,[],[f194,f208,f209,f245,f269,f280,f284,f314,f317,f318,f325,f326,f345,f349,f356,f364,f366,f368,f374,f376,f378,f380,f389,f395,f401,f404,f405,f407,f409,f412,f414,f418,f420,f429,f430,f433,f434,f444,f446]) ).

fof(f446,plain,
    ( ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f445]) ).

fof(f445,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(resolution,[],[f170,f149]) ).

fof(f149,plain,
    ( ! [X6] : ~ big_q(X6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl0_6
  <=> ! [X6] : ~ big_q(X6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f170,plain,
    ( big_q(c1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl0_11
  <=> big_q(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f444,plain,
    ( ~ spl0_1
    | spl0_26 ),
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | ~ spl0_1
    | spl0_26 ),
    inference(resolution,[],[f232,f131]) ).

fof(f131,plain,
    ( ! [X9] : big_p(X9)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl0_1
  <=> ! [X9] : big_p(X9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f232,plain,
    ( ~ big_p(c15)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_26
  <=> big_p(c15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f434,plain,
    ( spl0_15
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f422,f165,f130,f184]) ).

fof(f184,plain,
    ( spl0_15
  <=> ! [X9] : ~ big_p(X9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f165,plain,
    ( spl0_10
  <=> ! [X0] :
        ( ~ big_p(X0)
        | ~ big_p(f1(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f422,plain,
    ( ! [X0] : ~ big_p(X0)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(resolution,[],[f131,f166]) ).

fof(f166,plain,
    ( ! [X0] :
        ( ~ big_p(f1(X0))
        | ~ big_p(X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f433,plain,
    ( spl0_15
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f427,f224,f130,f184]) ).

fof(f224,plain,
    ( spl0_24
  <=> ! [X21] :
        ( ~ big_p(X21)
        | ~ big_p(f3(X21)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f427,plain,
    ( ! [X1] : ~ big_p(X1)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(resolution,[],[f131,f225]) ).

fof(f225,plain,
    ( ! [X21] :
        ( ~ big_p(f3(X21))
        | ~ big_p(X21) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f430,plain,
    ( ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(resolution,[],[f131,f185]) ).

fof(f185,plain,
    ( ! [X9] : ~ big_p(X9)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f429,plain,
    ( ~ spl0_1
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f423,plain,
    ( $false
    | ~ spl0_1
    | spl0_9 ),
    inference(resolution,[],[f131,f163]) ).

fof(f163,plain,
    ( ~ big_p(c2)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl0_9
  <=> big_p(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f420,plain,
    ( ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f419]) ).

fof(f419,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(resolution,[],[f175,f185]) ).

fof(f175,plain,
    ( big_p(c6)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl0_12
  <=> big_p(c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f418,plain,
    ( spl0_6
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f415,f192,f141,f148]) ).

fof(f141,plain,
    ( spl0_4
  <=> ! [X7] : big_q(X7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f192,plain,
    ( spl0_17
  <=> ! [X3] :
        ( ~ big_q(f2(X3))
        | ~ big_q(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f415,plain,
    ( ! [X0] : ~ big_q(X0)
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(resolution,[],[f142,f193]) ).

fof(f193,plain,
    ( ! [X3] :
        ( ~ big_q(f2(X3))
        | ~ big_q(X3) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f142,plain,
    ( ! [X7] : big_q(X7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f414,plain,
    ( ~ spl0_6
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f413,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_27 ),
    inference(resolution,[],[f237,f149]) ).

fof(f237,plain,
    ( big_q(c14)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_27
  <=> big_q(c14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f412,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f411,f239,f184,f130]) ).

fof(f239,plain,
    ( spl0_28
  <=> ! [X21] :
        ( big_p(f3(X21))
        | big_p(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f411,plain,
    ( ! [X1] : big_p(X1)
    | ~ spl0_15
    | ~ spl0_28 ),
    inference(resolution,[],[f240,f185]) ).

fof(f240,plain,
    ( ! [X21] :
        ( big_p(f3(X21))
        | big_p(X21) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f409,plain,
    ( spl0_4
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f408,f227,f148,f141]) ).

fof(f227,plain,
    ( spl0_25
  <=> ! [X18] :
        ( big_q(X18)
        | big_q(f4(X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f408,plain,
    ( ! [X0] : big_q(X0)
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(resolution,[],[f228,f149]) ).

fof(f228,plain,
    ( ! [X18] :
        ( big_q(f4(X18))
        | big_q(X18) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f407,plain,
    ( ~ spl0_5
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(resolution,[],[f146,f185]) ).

fof(f146,plain,
    ( big_p(c9)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl0_5
  <=> big_p(c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f405,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f403,f189,f184,f130]) ).

fof(f189,plain,
    ( spl0_16
  <=> ! [X0] :
        ( big_p(X0)
        | big_p(f1(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f403,plain,
    ( ! [X0] : big_p(X0)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(resolution,[],[f185,f190]) ).

fof(f190,plain,
    ( ! [X0] :
        ( big_p(f1(X0))
        | big_p(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f404,plain,
    ( ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(resolution,[],[f185,f213]) ).

fof(f213,plain,
    ( big_p(c19)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl0_21
  <=> big_p(c19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f401,plain,
    ( spl0_4
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f400,f177,f148,f141]) ).

fof(f177,plain,
    ( spl0_13
  <=> ! [X3] :
        ( big_q(X3)
        | big_q(f2(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f400,plain,
    ( ! [X0] : big_q(X0)
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(resolution,[],[f178,f149]) ).

fof(f178,plain,
    ( ! [X3] :
        ( big_q(f2(X3))
        | big_q(X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f395,plain,
    ( ~ spl0_6
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f394]) ).

fof(f394,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(resolution,[],[f244,f149]) ).

fof(f244,plain,
    ( big_q(c16)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_29
  <=> big_q(c16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f389,plain,
    ( spl0_6
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f388,f206,f141,f148]) ).

fof(f206,plain,
    ( spl0_20
  <=> ! [X18] :
        ( ~ big_q(f4(X18))
        | ~ big_q(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f388,plain,
    ( ! [X0] : ~ big_q(X0)
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(resolution,[],[f207,f142]) ).

fof(f207,plain,
    ( ! [X18] :
        ( ~ big_q(f4(X18))
        | ~ big_q(X18) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f380,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f379,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(resolution,[],[f153,f149]) ).

fof(f153,plain,
    ( big_q(c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl0_7
  <=> big_q(c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f378,plain,
    ( ~ spl0_4
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f377]) ).

fof(f377,plain,
    ( $false
    | ~ spl0_4
    | spl0_19 ),
    inference(resolution,[],[f204,f142]) ).

fof(f204,plain,
    ( ~ big_q(c20)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl0_19
  <=> big_q(c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f376,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f375]) ).

fof(f375,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f149,f142]) ).

fof(f374,plain,
    ( ~ spl0_4
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl0_4
    | spl0_14 ),
    inference(resolution,[],[f182,f142]) ).

fof(f182,plain,
    ( ~ big_q(c7)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl0_14
  <=> big_q(c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f368,plain,
    ( spl0_15
    | spl0_4
    | spl0_29
    | spl0_6
    | spl0_6
    | ~ spl0_26
    | spl0_28 ),
    inference(avatar_split_clause,[],[f105,f239,f230,f148,f148,f242,f141,f184]) ).

fof(f105,axiom,
    ! [X21,X16,X17,X15,X23] :
      ( big_p(X21)
      | ~ big_p(c15)
      | ~ big_q(X15)
      | ~ big_q(X23)
      | big_q(c16)
      | big_q(X17)
      | ~ big_p(X16)
      | big_p(f3(X21)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_105) ).

fof(f366,plain,
    ( ~ spl0_29
    | spl0_1
    | ~ spl0_18
    | spl0_4
    | spl0_6
    | spl0_4
    | spl0_15
    | spl0_1 ),
    inference(avatar_split_clause,[],[f67,f130,f184,f141,f148,f141,f198,f130,f242]) ).

fof(f198,plain,
    ( spl0_18
  <=> big_p(c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f67,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( big_p(X12)
      | ~ big_p(X16)
      | big_q(X17)
      | ~ big_q(X13)
      | big_q(X15)
      | ~ big_p(c11)
      | big_p(X14)
      | ~ big_q(c16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).

fof(f364,plain,
    ( spl0_1
    | spl0_27
    | spl0_4
    | spl0_21
    | spl0_25
    | spl0_28 ),
    inference(avatar_split_clause,[],[f101,f239,f227,f211,f141,f235,f130]) ).

fof(f101,axiom,
    ! [X21,X18,X19,X22] :
      ( big_p(X21)
      | big_q(f4(X18))
      | big_p(c19)
      | big_q(X19)
      | big_p(f3(X21))
      | big_q(X18)
      | big_q(c14)
      | big_p(X22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_101) ).

fof(f356,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_1
    | spl0_15
    | spl0_7
    | spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f33,f177,f130,f151,f184,f130,f141,f137]) ).

fof(f137,plain,
    ( spl0_3
  <=> big_p(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f33,axiom,
    ! [X3,X10,X9,X4,X5] :
      ( big_q(f2(X3))
      | big_p(X9)
      | big_q(X3)
      | big_q(c4)
      | ~ big_p(X4)
      | big_p(X10)
      | big_q(X5)
      | ~ big_p(c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).

fof(f349,plain,
    ( spl0_6
    | spl0_15
    | ~ spl0_18
    | spl0_6
    | spl0_1
    | spl0_29
    | spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f65,f130,f141,f242,f130,f148,f198,f184,f148]) ).

fof(f65,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( big_p(X12)
      | big_q(X17)
      | big_q(c16)
      | big_p(X14)
      | ~ big_q(X15)
      | ~ big_p(c11)
      | ~ big_p(X16)
      | ~ big_q(X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_65) ).

fof(f345,plain,
    ( spl0_1
    | spl0_18
    | spl0_29
    | spl0_4
    | spl0_15
    | spl0_6
    | spl0_15
    | spl0_6 ),
    inference(avatar_split_clause,[],[f81,f148,f184,f148,f184,f141,f242,f198,f130]) ).

fof(f81,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( ~ big_q(X13)
      | ~ big_p(X16)
      | ~ big_q(X15)
      | ~ big_p(X12)
      | big_q(X17)
      | big_q(c16)
      | big_p(c11)
      | big_p(X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_81) ).

fof(f326,plain,
    ( spl0_4
    | spl0_29
    | spl0_24
    | ~ spl0_26
    | spl0_15
    | spl0_6
    | spl0_6 ),
    inference(avatar_split_clause,[],[f121,f148,f148,f184,f230,f224,f242,f141]) ).

fof(f121,axiom,
    ! [X21,X16,X17,X15,X23] :
      ( ~ big_q(X23)
      | ~ big_q(X15)
      | ~ big_p(X16)
      | ~ big_p(c15)
      | ~ big_p(f3(X21))
      | big_q(c16)
      | ~ big_p(X21)
      | big_q(X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_121) ).

fof(f325,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_2
    | spl0_4
    | spl0_4
    | spl0_5
    | spl0_16 ),
    inference(avatar_split_clause,[],[f7,f189,f144,f141,f141,f133,f148,f130]) ).

fof(f133,plain,
    ( spl0_2
  <=> big_q(c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7,axiom,
    ! [X2,X0,X1,X6,X7] :
      ( big_p(f1(X0))
      | big_p(c9)
      | big_q(X6)
      | big_q(X7)
      | ~ big_q(c8)
      | ~ big_q(X1)
      | big_p(X2)
      | big_p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f318,plain,
    ( spl0_15
    | spl0_7
    | spl0_4
    | spl0_3
    | spl0_13
    | spl0_15
    | spl0_1 ),
    inference(avatar_split_clause,[],[f49,f130,f184,f177,f137,f141,f151,f184]) ).

fof(f49,axiom,
    ! [X3,X10,X9,X4,X5] :
      ( big_p(X10)
      | ~ big_p(X9)
      | big_q(X3)
      | big_p(c3)
      | big_q(X5)
      | big_q(c4)
      | ~ big_p(X4)
      | big_q(f2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49) ).

fof(f317,plain,
    ( spl0_6
    | spl0_6
    | spl0_1
    | spl0_5
    | spl0_4
    | spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f5,f189,f133,f141,f144,f130,f148,f148]) ).

fof(f5,axiom,
    ! [X2,X0,X1,X6,X7] :
      ( big_p(f1(X0))
      | big_q(c8)
      | big_q(X7)
      | big_p(c9)
      | big_p(X2)
      | big_p(X0)
      | ~ big_q(X1)
      | ~ big_q(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f314,plain,
    ( ~ spl0_19
    | spl0_1
    | spl0_1
    | spl0_15
    | spl0_20
    | spl0_6
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f72,f198,f148,f206,f184,f130,f130,f202]) ).

fof(f72,axiom,
    ! [X18,X14,X12,X13,X20] :
      ( ~ big_p(c11)
      | ~ big_q(X13)
      | ~ big_q(X18)
      | ~ big_q(f4(X18))
      | ~ big_p(X20)
      | big_p(X12)
      | big_p(X14)
      | ~ big_q(c20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).

fof(f284,plain,
    ( spl0_4
    | ~ spl0_29
    | spl0_6
    | ~ spl0_26
    | spl0_24
    | spl0_15
    | spl0_4 ),
    inference(avatar_split_clause,[],[f123,f141,f184,f224,f230,f148,f242,f141]) ).

fof(f123,axiom,
    ! [X21,X16,X17,X15,X23] :
      ( big_q(X15)
      | ~ big_p(X16)
      | ~ big_p(f3(X21))
      | ~ big_p(c15)
      | ~ big_q(X23)
      | ~ big_q(c16)
      | ~ big_p(X21)
      | big_q(X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_123) ).

fof(f280,plain,
    ( spl0_15
    | spl0_1
    | spl0_15
    | spl0_4
    | spl0_4
    | spl0_18
    | spl0_6
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f83,f242,f148,f198,f141,f141,f184,f130,f184]) ).

fof(f83,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( ~ big_q(c16)
      | ~ big_q(X13)
      | big_p(c11)
      | big_q(X15)
      | big_q(X17)
      | ~ big_p(X16)
      | big_p(X14)
      | ~ big_p(X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_83) ).

fof(f269,plain,
    ( spl0_6
    | spl0_20
    | ~ spl0_19
    | ~ spl0_26
    | spl0_15
    | spl0_24 ),
    inference(avatar_split_clause,[],[f128,f224,f184,f230,f202,f206,f148]) ).

fof(f128,axiom,
    ! [X21,X18,X23,X20] :
      ( ~ big_p(f3(X21))
      | ~ big_p(X21)
      | ~ big_p(X20)
      | ~ big_p(c15)
      | ~ big_q(c20)
      | ~ big_q(f4(X18))
      | ~ big_q(X23)
      | ~ big_q(X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_128) ).

fof(f245,plain,
    ( spl0_4
    | spl0_27
    | spl0_1
    | spl0_15
    | spl0_6
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f97,f242,f239,f148,f184,f130,f235,f141]) ).

fof(f97,axiom,
    ! [X21,X16,X17,X15,X22] :
      ( big_q(c16)
      | big_p(f3(X21))
      | ~ big_q(X15)
      | ~ big_p(X16)
      | big_p(X21)
      | big_p(X22)
      | big_q(c14)
      | big_q(X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_97) ).

fof(f209,plain,
    ( spl0_15
    | spl0_11
    | spl0_13
    | ~ spl0_9
    | spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f25,f165,f141,f161,f177,f168,f184]) ).

fof(f25,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ big_p(f1(X0))
      | big_q(X5)
      | ~ big_p(c2)
      | big_q(X3)
      | big_q(c1)
      | ~ big_p(X0)
      | ~ big_p(X4)
      | big_q(f2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).

fof(f208,plain,
    ( spl0_18
    | spl0_6
    | spl0_15
    | spl0_15
    | spl0_1
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f88,f206,f202,f130,f184,f184,f148,f198]) ).

fof(f88,axiom,
    ! [X18,X14,X12,X13,X20] :
      ( ~ big_q(f4(X18))
      | ~ big_q(X18)
      | ~ big_q(c20)
      | big_p(X14)
      | ~ big_p(X12)
      | ~ big_p(X20)
      | ~ big_q(X13)
      | big_p(c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_88) ).

fof(f194,plain,
    ( spl0_12
    | ~ spl0_14
    | spl0_16
    | spl0_6
    | spl0_17
    | spl0_1 ),
    inference(avatar_split_clause,[],[f4,f130,f192,f148,f189,f180,f173]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( big_p(X2)
      | ~ big_q(f2(X3))
      | ~ big_q(X1)
      | big_p(X0)
      | ~ big_q(c7)
      | big_p(c6)
      | ~ big_q(X3)
      | big_p(f1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:31:19 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (9115)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (9115)First to succeed.
% 0.18/0.50  % (9133)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50  % (9115)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (9115)------------------------------
% 0.18/0.50  % (9115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (9115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (9115)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (9115)Memory used [KB]: 5884
% 0.18/0.50  % (9115)Time elapsed: 0.098 s
% 0.18/0.50  % (9115)Instructions burned: 9 (million)
% 0.18/0.50  % (9115)------------------------------
% 0.18/0.50  % (9115)------------------------------
% 0.18/0.50  % (9111)Success in time 0.157 s
%------------------------------------------------------------------------------