TSTP Solution File: RNG076+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG076+2 : 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 : n025.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 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  115 (  25 unt;   0 def)
%            Number of atoms       :  278 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  278 ( 115   ~; 119   |;  19   &)
%                                         (  16 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  17 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f632,plain,
    $false,
    inference(avatar_sat_refutation,[],[f442,f469,f513,f521,f531,f535,f537,f539,f543,f546,f548,f550,f553,f555,f573,f599,f608]) ).

fof(f608,plain,
    spl3_45,
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | spl3_45 ),
    inference(resolution,[],[f572,f231]) ).

fof(f231,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/sandbox/benchmark/theBenchmark.p',m__1983) ).

fof(f572,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | spl3_45 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl3_45
  <=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f599,plain,
    ( ~ spl3_39
    | spl3_44 ),
    inference(avatar_split_clause,[],[f582,f566,f510]) ).

fof(f510,plain,
    ( spl3_39
  <=> aScalar0(sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).

fof(f566,plain,
    ( spl3_44
  <=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).

fof(f582,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_44 ),
    inference(resolution,[],[f568,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f568,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | spl3_44 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f573,plain,
    ( ~ spl3_44
    | ~ spl3_38
    | ~ spl3_39
    | ~ spl3_45
    | ~ spl3_40
    | spl3_25 ),
    inference(avatar_split_clause,[],[f560,f439,f518,f570,f510,f506,f566]) ).

fof(f506,plain,
    ( spl3_38
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).

fof(f518,plain,
    ( spl3_40
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).

fof(f439,plain,
    ( spl3_25
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f560,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | spl3_25 ),
    inference(duplicate_literal_removal,[],[f557]) ).

fof(f557,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_25 ),
    inference(resolution,[],[f441,f232]) ).

fof(f232,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X3))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X3)
      | ~ sdtlseqdt0(X0,X3)
      | ~ sdtlseqdt0(X2,X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sdtlseqdt0(X0,X3)
      | ~ aScalar0(X1)
      | ~ aScalar0(X3)
      | sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X1,X3))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ sdtlseqdt0(X2,X1) ),
    inference(rectify,[],[f129]) ).

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

fof(f128,plain,
    ! [X0,X3,X2,X1] :
      ( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X0,X2))
      | ~ sdtlseqdt0(X3,X2)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X3,X2,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X3,X2)
          & sdtlseqdt0(X1,X0) )
       => sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X0,X2)) ) ),
    inference(rectify,[],[f23]) ).

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

fof(f441,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | spl3_25 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f555,plain,
    spl3_35,
    inference(avatar_contradiction_clause,[],[f554]) ).

fof(f554,plain,
    ( $false
    | spl3_35 ),
    inference(resolution,[],[f493,f175]) ).

fof(f175,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

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

fof(f493,plain,
    ( ~ aScalar0(xC)
    | spl3_35 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl3_35
  <=> aScalar0(xC) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f553,plain,
    spl3_30,
    inference(avatar_contradiction_clause,[],[f552]) ).

fof(f552,plain,
    ( $false
    | spl3_30 ),
    inference(resolution,[],[f473,f235]) ).

fof(f235,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

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

fof(f473,plain,
    ( ~ aScalar0(xD)
    | spl3_30 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl3_30
  <=> aScalar0(xD) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f550,plain,
    ( ~ spl3_35
    | ~ spl3_30
    | spl3_23 ),
    inference(avatar_split_clause,[],[f549,f431,f471,f491]) ).

fof(f431,plain,
    ( spl3_23
  <=> aScalar0(sdtasdt0(xC,xD)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f549,plain,
    ( ~ aScalar0(xD)
    | ~ aScalar0(xC)
    | spl3_23 ),
    inference(resolution,[],[f433,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(rectify,[],[f124]) ).

fof(f124,plain,
    ! [X1,X0] :
      ( aScalar0(sdtasdt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X1,X0] :
      ( aScalar0(sdtasdt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtasdt0(X1,X0)) ),
    inference(rectify,[],[f11]) ).

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

fof(f433,plain,
    ( ~ aScalar0(sdtasdt0(xC,xD))
    | spl3_23 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f548,plain,
    spl3_33,
    inference(avatar_contradiction_clause,[],[f547]) ).

fof(f547,plain,
    ( $false
    | spl3_33 ),
    inference(resolution,[],[f485,f198]) ).

fof(f198,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

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

fof(f485,plain,
    ( ~ aScalar0(xE)
    | spl3_33 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl3_33
  <=> aScalar0(xE) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).

fof(f546,plain,
    ( ~ spl3_33
    | spl3_24 ),
    inference(avatar_split_clause,[],[f545,f435,f483]) ).

fof(f435,plain,
    ( spl3_24
  <=> aScalar0(sdtasdt0(xE,xE)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f545,plain,
    ( ~ aScalar0(xE)
    | spl3_24 ),
    inference(duplicate_literal_removal,[],[f544]) ).

fof(f544,plain,
    ( ~ aScalar0(xE)
    | ~ aScalar0(xE)
    | spl3_24 ),
    inference(resolution,[],[f437,f179]) ).

fof(f437,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | spl3_24 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f543,plain,
    spl3_40,
    inference(avatar_contradiction_clause,[],[f542]) ).

fof(f542,plain,
    ( $false
    | spl3_40 ),
    inference(resolution,[],[f541,f178]) ).

fof(f178,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

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

fof(f541,plain,
    ( ~ aScalar0(xP)
    | spl3_40 ),
    inference(duplicate_literal_removal,[],[f540]) ).

fof(f540,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl3_40 ),
    inference(resolution,[],[f520,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f133]) ).

fof(f133,plain,
    ! [X1,X0] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f10]) ).

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

fof(f520,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_40 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f539,plain,
    spl3_39,
    inference(avatar_contradiction_clause,[],[f538]) ).

fof(f538,plain,
    ( $false
    | spl3_39 ),
    inference(resolution,[],[f533,f220]) ).

fof(f220,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

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

fof(f533,plain,
    ( ~ aScalar0(xH)
    | spl3_39 ),
    inference(duplicate_literal_removal,[],[f532]) ).

fof(f532,plain,
    ( ~ aScalar0(xH)
    | ~ aScalar0(xH)
    | spl3_39 ),
    inference(resolution,[],[f512,f179]) ).

fof(f512,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_39 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f537,plain,
    spl3_42,
    inference(avatar_contradiction_clause,[],[f536]) ).

fof(f536,plain,
    ( $false
    | spl3_42 ),
    inference(resolution,[],[f530,f187]) ).

fof(f187,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

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

fof(f530,plain,
    ( ~ aScalar0(xS)
    | spl3_42 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f528,plain,
    ( spl3_42
  <=> aScalar0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).

fof(f535,plain,
    spl3_41,
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | spl3_41 ),
    inference(resolution,[],[f526,f182]) ).

fof(f182,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

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

fof(f526,plain,
    ( ~ aScalar0(xR)
    | spl3_41 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl3_41
  <=> aScalar0(xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).

fof(f531,plain,
    ( ~ spl3_41
    | ~ spl3_42
    | spl3_38 ),
    inference(avatar_split_clause,[],[f522,f506,f528,f524]) ).

fof(f522,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl3_38 ),
    inference(resolution,[],[f508,f160]) ).

fof(f508,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_38 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f521,plain,
    ( ~ spl3_39
    | ~ spl3_40
    | spl3_22 ),
    inference(avatar_split_clause,[],[f516,f427,f518,f510]) ).

fof(f427,plain,
    ( spl3_22
  <=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

fof(f516,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_22 ),
    inference(resolution,[],[f429,f160]) ).

fof(f429,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | spl3_22 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f513,plain,
    ( ~ spl3_38
    | ~ spl3_39
    | spl3_21 ),
    inference(avatar_split_clause,[],[f504,f423,f510,f506]) ).

fof(f423,plain,
    ( spl3_21
  <=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f504,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_21 ),
    inference(resolution,[],[f425,f160]) ).

fof(f425,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | spl3_21 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f469,plain,
    spl3_20,
    inference(avatar_contradiction_clause,[],[f464]) ).

fof(f464,plain,
    ( $false
    | spl3_20 ),
    inference(resolution,[],[f421,f219]) ).

fof(f219,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/sandbox/benchmark/theBenchmark.p',m__1967) ).

fof(f421,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
    | spl3_20 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl3_20
  <=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f442,plain,
    ( ~ spl3_20
    | ~ spl3_21
    | ~ spl3_22
    | ~ spl3_23
    | ~ spl3_24
    | ~ spl3_25 ),
    inference(avatar_split_clause,[],[f415,f439,f435,f431,f427,f423,f419]) ).

fof(f415,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
    inference(resolution,[],[f181,f232]) ).

fof(f181,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/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 12:23:29 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (1806)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)
% 0.19/0.49  % (1782)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49  % (1789)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)
% 0.19/0.49  % (1792)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)
% 0.19/0.49  % (1792)Instruction limit reached!
% 0.19/0.49  % (1792)------------------------------
% 0.19/0.49  % (1792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (1798)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)
% 0.19/0.50  % (1801)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)
% 0.19/0.50  % (1792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (1792)Termination reason: Unknown
% 0.19/0.50  % (1792)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (1792)Memory used [KB]: 6396
% 0.19/0.50  % (1792)Time elapsed: 0.095 s
% 0.19/0.50  % (1792)Instructions burned: 13 (million)
% 0.19/0.50  % (1792)------------------------------
% 0.19/0.50  % (1792)------------------------------
% 0.19/0.51  % (1796)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)
% 0.19/0.51  % (1801)First to succeed.
% 0.19/0.51  % (1796)Instruction limit reached!
% 0.19/0.51  % (1796)------------------------------
% 0.19/0.51  % (1796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (1796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (1796)Termination reason: Unknown
% 0.19/0.51  % (1796)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (1796)Memory used [KB]: 1535
% 0.19/0.51  % (1796)Time elapsed: 0.003 s
% 0.19/0.51  % (1796)Instructions burned: 4 (million)
% 0.19/0.51  % (1796)------------------------------
% 0.19/0.51  % (1796)------------------------------
% 0.19/0.51  % (1784)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)
% 0.19/0.51  % (1784)Instruction limit reached!
% 0.19/0.51  % (1784)------------------------------
% 0.19/0.51  % (1784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (1784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (1784)Termination reason: Unknown
% 0.19/0.51  % (1784)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (1784)Memory used [KB]: 1535
% 0.19/0.51  % (1784)Time elapsed: 0.003 s
% 0.19/0.51  % (1784)Instructions burned: 4 (million)
% 0.19/0.51  % (1784)------------------------------
% 0.19/0.51  % (1784)------------------------------
% 0.19/0.51  % (1801)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (1801)------------------------------
% 0.19/0.52  % (1801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (1801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (1801)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (1801)Memory used [KB]: 6268
% 0.19/0.52  % (1801)Time elapsed: 0.122 s
% 0.19/0.52  % (1801)Instructions burned: 9 (million)
% 0.19/0.52  % (1801)------------------------------
% 0.19/0.52  % (1801)------------------------------
% 0.19/0.52  % (1781)Success in time 0.173 s
%------------------------------------------------------------------------------