TSTP Solution File: RNG076+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG076+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n019.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 18:14:49 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  111 (  25 unt;   0 def)
%            Number of atoms       :  269 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  273 ( 115   ~; 119   |;  17   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  16 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f654,plain,
    $false,
    inference(avatar_sat_refutation,[],[f386,f413,f415,f421,f423,f433,f437,f441,f449,f472,f474,f476,f490,f523,f552,f649]) ).

fof(f649,plain,
    ( ~ spl3_24
    | spl3_27 ),
    inference(avatar_split_clause,[],[f632,f459,f430]) ).

fof(f430,plain,
    ( spl3_24
  <=> aScalar0(sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f459,plain,
    ( spl3_27
  <=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f632,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_27 ),
    inference(resolution,[],[f461,f196]) ).

fof(f196,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

fof(f461,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | spl3_27 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f552,plain,
    ( ~ spl3_26
    | ~ spl3_27
    | ~ spl3_24
    | ~ spl3_25
    | ~ spl3_23
    | spl3_13 ),
    inference(avatar_split_clause,[],[f549,f371,f426,f446,f430,f459,f455]) ).

fof(f455,plain,
    ( spl3_26
  <=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f446,plain,
    ( spl3_25
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f426,plain,
    ( spl3_23
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f371,plain,
    ( spl3_13
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f549,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | spl3_13 ),
    inference(duplicate_literal_removal,[],[f546]) ).

fof(f546,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_13 ),
    inference(resolution,[],[f373,f201]) ).

fof(f201,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X3,X0),sdtpldt0(X1,X2))
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X3,X1)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X3)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X3,X1)
      | sdtlseqdt0(sdtpldt0(X3,X0),sdtpldt0(X1,X2)) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X1,X2,X3,X0] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X3)
      | ~ aScalar0(X3)
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(X0,X2)
      | sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X1,X2,X0,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
      | ~ sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ aScalar0(X3)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X2,X0,X3] :
      ( ( aScalar0(X2)
        & aScalar0(X0)
        & aScalar0(X3)
        & aScalar0(X1) )
     => ( ( sdtlseqdt0(X0,X2)
          & sdtlseqdt0(X1,X3) )
       => sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X2,X1,X3] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

fof(f373,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | spl3_13 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f523,plain,
    spl3_26,
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | spl3_26 ),
    inference(resolution,[],[f457,f221]) ).

fof(f221,plain,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,axiom,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).

fof(f457,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | spl3_26 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f490,plain,
    spl3_12,
    inference(avatar_contradiction_clause,[],[f486]) ).

fof(f486,plain,
    ( $false
    | spl3_12 ),
    inference(resolution,[],[f369,f228]) ).

fof(f228,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,axiom,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).

fof(f369,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
    | spl3_12 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl3_12
  <=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f476,plain,
    spl3_29,
    inference(avatar_contradiction_clause,[],[f475]) ).

fof(f475,plain,
    ( $false
    | spl3_29 ),
    inference(resolution,[],[f471,f178]) ).

fof(f178,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f471,plain,
    ( ~ aScalar0(xS)
    | spl3_29 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f469,plain,
    ( spl3_29
  <=> aScalar0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f474,plain,
    spl3_28,
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f473,plain,
    ( $false
    | spl3_28 ),
    inference(resolution,[],[f467,f163]) ).

fof(f163,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f467,plain,
    ( ~ aScalar0(xR)
    | spl3_28 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl3_28
  <=> aScalar0(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f472,plain,
    ( ~ spl3_28
    | ~ spl3_29
    | spl3_25 ),
    inference(avatar_split_clause,[],[f463,f446,f469,f465]) ).

fof(f463,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl3_25 ),
    inference(resolution,[],[f448,f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X1,X0] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f448,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_25 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f449,plain,
    ( ~ spl3_25
    | ~ spl3_24
    | spl3_15 ),
    inference(avatar_split_clause,[],[f444,f379,f430,f446]) ).

fof(f379,plain,
    ( spl3_15
  <=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f444,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_15 ),
    inference(resolution,[],[f381,f169]) ).

fof(f381,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | spl3_15 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f441,plain,
    spl3_24,
    inference(avatar_contradiction_clause,[],[f440]) ).

fof(f440,plain,
    ( $false
    | spl3_24 ),
    inference(resolution,[],[f439,f173]) ).

fof(f173,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    ( xH = sdtasdt0(xA,xB)
    & aScalar0(xH) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).

fof(f439,plain,
    ( ~ aScalar0(xH)
    | spl3_24 ),
    inference(duplicate_literal_removal,[],[f438]) ).

fof(f438,plain,
    ( ~ aScalar0(xH)
    | ~ aScalar0(xH)
    | spl3_24 ),
    inference(resolution,[],[f432,f215]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X1,X0))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X1,X0] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).

fof(f432,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_24 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f437,plain,
    spl3_23,
    inference(avatar_contradiction_clause,[],[f436]) ).

fof(f436,plain,
    ( $false
    | spl3_23 ),
    inference(resolution,[],[f435,f171]) ).

fof(f171,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

fof(f435,plain,
    ( ~ aScalar0(xP)
    | spl3_23 ),
    inference(duplicate_literal_removal,[],[f434]) ).

fof(f434,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl3_23 ),
    inference(resolution,[],[f428,f169]) ).

fof(f428,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_23 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f433,plain,
    ( ~ spl3_23
    | ~ spl3_24
    | spl3_16 ),
    inference(avatar_split_clause,[],[f424,f383,f430,f426]) ).

fof(f383,plain,
    ( spl3_16
  <=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f424,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_16 ),
    inference(resolution,[],[f385,f169]) ).

fof(f385,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | spl3_16 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f423,plain,
    spl3_14,
    inference(avatar_contradiction_clause,[],[f422]) ).

fof(f422,plain,
    ( $false
    | spl3_14 ),
    inference(resolution,[],[f419,f191]) ).

fof(f191,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).

fof(f419,plain,
    ( ~ aScalar0(xE)
    | spl3_14 ),
    inference(duplicate_literal_removal,[],[f418]) ).

fof(f418,plain,
    ( ~ aScalar0(xE)
    | ~ aScalar0(xE)
    | spl3_14 ),
    inference(resolution,[],[f377,f215]) ).

fof(f377,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | spl3_14 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl3_14
  <=> aScalar0(sdtasdt0(xE,xE)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f421,plain,
    spl3_22,
    inference(avatar_contradiction_clause,[],[f420]) ).

fof(f420,plain,
    ( $false
    | spl3_22 ),
    inference(resolution,[],[f412,f222]) ).

fof(f222,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

fof(f412,plain,
    ( ~ aScalar0(xD)
    | spl3_22 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl3_22
  <=> aScalar0(xD) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f415,plain,
    spl3_21,
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | spl3_21 ),
    inference(resolution,[],[f408,f241]) ).

fof(f241,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

fof(f408,plain,
    ( ~ aScalar0(xC)
    | spl3_21 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl3_21
  <=> aScalar0(xC) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f413,plain,
    ( ~ spl3_21
    | ~ spl3_22
    | spl3_11 ),
    inference(avatar_split_clause,[],[f404,f363,f410,f406]) ).

fof(f363,plain,
    ( spl3_11
  <=> aScalar0(sdtasdt0(xC,xD)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f404,plain,
    ( ~ aScalar0(xD)
    | ~ aScalar0(xC)
    | spl3_11 ),
    inference(resolution,[],[f365,f215]) ).

fof(f365,plain,
    ( ~ aScalar0(sdtasdt0(xC,xD))
    | spl3_11 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f386,plain,
    ( ~ spl3_11
    | ~ spl3_12
    | ~ spl3_13
    | ~ spl3_14
    | ~ spl3_15
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f359,f383,f379,f375,f371,f367,f363]) ).

fof(f359,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(resolution,[],[f187,f201]) ).

fof(f187,plain,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(flattening,[],[f59]) ).

fof(f59,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG076+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:18:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (4264)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (4259)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (4253)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (4265)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (4256)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (4265)Instruction limit reached!
% 0.19/0.51  % (4265)------------------------------
% 0.19/0.51  % (4265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (4274)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52  % (4273)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (4254)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (4265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4265)Termination reason: Unknown
% 0.19/0.52  % (4265)Termination phase: Finite model building preprocessing
% 0.19/0.52  
% 0.19/0.52  % (4265)Memory used [KB]: 1535
% 0.19/0.52  % (4265)Time elapsed: 0.003 s
% 0.19/0.52  % (4265)Instructions burned: 5 (million)
% 0.19/0.52  % (4265)------------------------------
% 0.19/0.52  % (4265)------------------------------
% 0.19/0.52  % (4267)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52  % (4257)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52  % (4251)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (4272)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53  % (4278)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (4271)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53  % (4250)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (4277)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (4259)Instruction limit reached!
% 0.19/0.53  % (4259)------------------------------
% 0.19/0.53  % (4259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4259)Termination reason: Unknown
% 0.19/0.53  % (4259)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (4259)Memory used [KB]: 6140
% 0.19/0.53  % (4259)Time elapsed: 0.127 s
% 0.19/0.53  % (4259)Instructions burned: 7 (million)
% 0.19/0.53  % (4259)------------------------------
% 0.19/0.53  % (4259)------------------------------
% 0.19/0.53  % (4263)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (4248)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53  % (4252)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (4258)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53  % (4276)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (4263)Instruction limit reached!
% 0.19/0.53  % (4263)------------------------------
% 0.19/0.53  % (4263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (4263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (4263)Termination reason: Unknown
% 0.19/0.53  % (4263)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (4263)Memory used [KB]: 6140
% 0.19/0.53  % (4263)Time elapsed: 0.095 s
% 0.19/0.53  % (4263)Instructions burned: 8 (million)
% 0.19/0.53  % (4263)------------------------------
% 0.19/0.53  % (4263)------------------------------
% 0.19/0.54  % (4249)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.54  % (4253)Instruction limit reached!
% 0.19/0.54  % (4253)------------------------------
% 0.19/0.54  % (4253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4253)Termination reason: Unknown
% 0.19/0.54  % (4253)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (4253)Memory used [KB]: 1791
% 0.19/0.54  % (4253)Time elapsed: 0.128 s
% 0.19/0.54  % (4253)Instructions burned: 16 (million)
% 0.19/0.54  % (4253)------------------------------
% 0.19/0.54  % (4253)------------------------------
% 0.19/0.54  % (4258)Instruction limit reached!
% 0.19/0.54  % (4258)------------------------------
% 0.19/0.54  % (4258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4270)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (4250)Instruction limit reached!
% 0.19/0.54  % (4250)------------------------------
% 0.19/0.54  % (4250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4250)Termination reason: Unknown
% 0.19/0.54  % (4250)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (4250)Memory used [KB]: 1535
% 0.19/0.54  % (4250)Time elapsed: 0.005 s
% 0.19/0.54  % (4250)Instructions burned: 4 (million)
% 0.19/0.54  % (4250)------------------------------
% 0.19/0.54  % (4250)------------------------------
% 0.19/0.54  % (4269)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54  % (4258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4258)Termination reason: Unknown
% 0.19/0.54  % (4258)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (4258)Memory used [KB]: 6396
% 0.19/0.54  % (4258)Time elapsed: 0.133 s
% 0.19/0.54  % (4258)Instructions burned: 12 (million)
% 0.19/0.54  % (4258)------------------------------
% 0.19/0.54  % (4258)------------------------------
% 0.19/0.54  % (4262)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (4262)Instruction limit reached!
% 0.19/0.54  % (4262)------------------------------
% 0.19/0.54  % (4262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4262)Termination reason: Unknown
% 0.19/0.54  % (4262)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (4262)Memory used [KB]: 1535
% 0.19/0.54  % (4262)Time elapsed: 0.003 s
% 0.19/0.54  % (4262)Instructions burned: 4 (million)
% 0.19/0.54  % (4262)------------------------------
% 0.19/0.54  % (4262)------------------------------
% 0.19/0.54  % (4266)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (4266)Instruction limit reached!
% 0.19/0.54  % (4266)------------------------------
% 0.19/0.54  % (4266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (4266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (4266)Termination reason: Unknown
% 0.19/0.54  % (4266)Termination phase: Preprocessing 3
% 0.19/0.54  
% 0.19/0.54  % (4266)Memory used [KB]: 1535
% 0.19/0.54  % (4266)Time elapsed: 0.004 s
% 0.19/0.54  % (4266)Instructions burned: 2 (million)
% 0.19/0.54  % (4266)------------------------------
% 0.19/0.54  % (4266)------------------------------
% 0.19/0.54  % (4261)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (4255)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55  % (4260)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.55  % (4277)Instruction limit reached!
% 0.19/0.55  % (4277)------------------------------
% 0.19/0.55  % (4277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (4277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (4277)Termination reason: Unknown
% 0.19/0.55  % (4277)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (4277)Memory used [KB]: 6268
% 0.19/0.55  % (4277)Time elapsed: 0.155 s
% 0.19/0.55  % (4277)Instructions burned: 9 (million)
% 0.19/0.55  % (4277)------------------------------
% 0.19/0.55  % (4277)------------------------------
% 0.19/0.55  % (4267)First to succeed.
% 0.19/0.56  % (4252)Instruction limit reached!
% 0.19/0.56  % (4252)------------------------------
% 0.19/0.56  % (4252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (4252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (4252)Termination reason: Unknown
% 0.19/0.56  % (4252)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (4252)Memory used [KB]: 6268
% 0.19/0.56  % (4252)Time elapsed: 0.135 s
% 0.19/0.56  % (4252)Instructions burned: 14 (million)
% 0.19/0.56  % (4252)------------------------------
% 0.19/0.56  % (4252)------------------------------
% 0.19/0.56  % (4275)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (4267)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (4267)------------------------------
% 0.19/0.56  % (4267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (4267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (4267)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (4267)Memory used [KB]: 6268
% 0.19/0.56  % (4267)Time elapsed: 0.147 s
% 0.19/0.56  % (4267)Instructions burned: 10 (million)
% 0.19/0.56  % (4267)------------------------------
% 0.19/0.56  % (4267)------------------------------
% 0.19/0.56  % (4242)Success in time 0.205 s
%------------------------------------------------------------------------------