TSTP Solution File: RNG076+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May  5 08:54:04 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  103 (  21 unt;   1 typ;   0 def)
%            Number of atoms       :  788 (   7 equ)
%            Maximal formula atoms :    7 (   7 avg)
%            Number of connectives :  294 ( 134   ~; 133   |;  13   &)
%                                         (   9 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  526 ( 526 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   30 (  28 usr;  23 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   36 (  35   !;   0   ?;  10   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ2_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f525,plain,
    $false,
    inference(avatar_sat_refutation,[],[f332,f343,f376,f381,f404,f408,f416,f436,f444,f523]) ).

tff(f523,plain,
    ( ~ spl3_13
    | spl3_24 ),
    inference(avatar_contradiction_clause,[],[f522]) ).

tff(f522,plain,
    ( $false
    | ~ spl3_13
    | spl3_24 ),
    inference(subsumption_resolution,[],[f506,f341]) ).

tff(f341,plain,
    ( aScalar0(sdtasdt0(xH,xH))
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f340]) ).

tff(f340,plain,
    ( spl3_13
  <=> aScalar0(sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

tff(f506,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_24 ),
    inference(resolution,[],[f435,f186]) ).

tff(f186,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f100]) ).

tff(f100,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

tff(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',mLERef) ).

tff(f435,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | spl3_24 ),
    inference(avatar_component_clause,[],[f433]) ).

tff(f433,plain,
    ( spl3_24
  <=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

tff(f444,plain,
    spl3_23,
    inference(avatar_contradiction_clause,[],[f443]) ).

tff(f443,plain,
    ( $false
    | spl3_23 ),
    inference(subsumption_resolution,[],[f442,f155]) ).

tff(f155,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,axiom,
    ( ( xP = sdtasdt0(xE,xH) )
    & aScalar0(xP) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1911) ).

tff(f442,plain,
    ( ~ aScalar0(xP)
    | spl3_23 ),
    inference(duplicate_literal_removal,[],[f441]) ).

tff(f441,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl3_23 ),
    inference(resolution,[],[f431,f209]) ).

tff(f209,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

tff(f116,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f115]) ).

tff(f115,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',mSumSc) ).

tff(f431,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_23 ),
    inference(avatar_component_clause,[],[f429]) ).

tff(f429,plain,
    ( spl3_23
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

tff(f436,plain,
    ( ~ spl3_23
    | ~ spl3_24
    | ~ spl3_12
    | ~ spl3_13
    | spl3_22 ),
    inference(avatar_split_clause,[],[f427,f401,f340,f336,f433,f429]) ).

tff(f336,plain,
    ( spl3_12
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

tff(f401,plain,
    ( spl3_22
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).

tff(f427,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ spl3_12
    | ~ spl3_13
    | spl3_22 ),
    inference(subsumption_resolution,[],[f426,f337]) ).

tff(f337,plain,
    ( aScalar0(sdtpldt0(xR,xS))
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f336]) ).

tff(f426,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ spl3_13
    | spl3_22 ),
    inference(subsumption_resolution,[],[f425,f341]) ).

tff(f425,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_22 ),
    inference(subsumption_resolution,[],[f424,f162]) ).

tff(f162,plain,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f57]) ).

tff(f57,axiom,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1983) ).

tff(f424,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_22 ),
    inference(duplicate_literal_removal,[],[f421]) ).

tff(f421,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_22 ),
    inference(resolution,[],[f403,f184]) ).

tff(f184,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

tff(f97,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f96]) ).

tff(f96,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

tff(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',mLEMon) ).

tff(f403,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | spl3_22 ),
    inference(avatar_component_clause,[],[f401]) ).

tff(f416,plain,
    ( ~ spl3_13
    | spl3_21 ),
    inference(avatar_contradiction_clause,[],[f415]) ).

tff(f415,plain,
    ( $false
    | ~ spl3_13
    | spl3_21 ),
    inference(subsumption_resolution,[],[f414,f155]) ).

tff(f414,plain,
    ( ~ aScalar0(xP)
    | ~ spl3_13
    | spl3_21 ),
    inference(duplicate_literal_removal,[],[f413]) ).

tff(f413,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | ~ spl3_13
    | spl3_21 ),
    inference(resolution,[],[f412,f209]) ).

tff(f412,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ spl3_13
    | spl3_21 ),
    inference(subsumption_resolution,[],[f411,f341]) ).

tff(f411,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_21 ),
    inference(resolution,[],[f399,f209]) ).

tff(f399,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | spl3_21 ),
    inference(avatar_component_clause,[],[f397]) ).

tff(f397,plain,
    ( spl3_21
  <=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

tff(f408,plain,
    spl3_20,
    inference(avatar_contradiction_clause,[],[f407]) ).

tff(f407,plain,
    ( $false
    | spl3_20 ),
    inference(subsumption_resolution,[],[f406,f145]) ).

tff(f145,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

tff(f48,axiom,
    ( ( xE = sdtasasdt0(xp,xq) )
    & aScalar0(xE) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1820) ).

tff(f406,plain,
    ( ~ aScalar0(xE)
    | spl3_20 ),
    inference(duplicate_literal_removal,[],[f405]) ).

tff(f405,plain,
    ( ~ aScalar0(xE)
    | ~ aScalar0(xE)
    | spl3_20 ),
    inference(resolution,[],[f395,f194]) ).

tff(f194,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

tff(f108,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f107]) ).

tff(f107,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',mMulSc) ).

tff(f395,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | spl3_20 ),
    inference(avatar_component_clause,[],[f393]) ).

tff(f393,plain,
    ( spl3_20
  <=> aScalar0(sdtasdt0(xE,xE)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

tff(f404,plain,
    ( ~ spl3_20
    | ~ spl3_21
    | ~ spl3_22
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f391,f324,f320,f401,f397,f393]) ).

tff(f320,plain,
    ( spl3_10
  <=> aScalar0(sdtasdt0(xC,xD)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

tff(f324,plain,
    ( spl3_11
  <=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

tff(f391,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ spl3_10
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f390,f321]) ).

tff(f321,plain,
    ( aScalar0(sdtasdt0(xC,xD))
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f320]) ).

tff(f390,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f389,f325]) ).

tff(f325,plain,
    ( aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f324]) ).

tff(f389,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(subsumption_resolution,[],[f388,f161]) ).

tff(f161,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f56]) ).

tff(f56,axiom,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1967) ).

tff(f388,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(resolution,[],[f184,f163]) ).

tff(f163,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,[],[f60]) ).

tff(f60,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]) ).

tff(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]) ).

tff(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/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__) ).

tff(f381,plain,
    spl3_13,
    inference(avatar_contradiction_clause,[],[f380]) ).

tff(f380,plain,
    ( $false
    | spl3_13 ),
    inference(subsumption_resolution,[],[f379,f151]) ).

tff(f151,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

tff(f51,axiom,
    ( ( xH = sdtasdt0(xA,xB) )
    & aScalar0(xH) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1873) ).

tff(f379,plain,
    ( ~ aScalar0(xH)
    | spl3_13 ),
    inference(duplicate_literal_removal,[],[f378]) ).

tff(f378,plain,
    ( ~ aScalar0(xH)
    | ~ aScalar0(xH)
    | spl3_13 ),
    inference(resolution,[],[f342,f194]) ).

tff(f342,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl3_13 ),
    inference(avatar_component_clause,[],[f340]) ).

tff(f376,plain,
    spl3_12,
    inference(avatar_contradiction_clause,[],[f375]) ).

tff(f375,plain,
    ( $false
    | spl3_12 ),
    inference(subsumption_resolution,[],[f374,f153]) ).

tff(f153,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

tff(f52,axiom,
    ( ( xR = sdtasdt0(xC,xG) )
    & aScalar0(xR) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1892) ).

tff(f374,plain,
    ( ~ aScalar0(xR)
    | spl3_12 ),
    inference(subsumption_resolution,[],[f373,f157]) ).

tff(f157,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,axiom,
    ( ( xS = sdtasdt0(xF,xD) )
    & aScalar0(xS) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1930) ).

tff(f373,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl3_12 ),
    inference(resolution,[],[f338,f209]) ).

tff(f338,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_12 ),
    inference(avatar_component_clause,[],[f336]) ).

tff(f343,plain,
    ( ~ spl3_12
    | ~ spl3_13
    | spl3_11 ),
    inference(avatar_split_clause,[],[f334,f324,f340,f336]) ).

tff(f334,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_11 ),
    inference(resolution,[],[f326,f209]) ).

tff(f326,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | spl3_11 ),
    inference(avatar_component_clause,[],[f324]) ).

tff(f332,plain,
    spl3_10,
    inference(avatar_contradiction_clause,[],[f331]) ).

tff(f331,plain,
    ( $false
    | spl3_10 ),
    inference(subsumption_resolution,[],[f330,f141]) ).

tff(f141,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,axiom,
    ( ( xC = sdtasasdt0(xp,xp) )
    & aScalar0(xC) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1783) ).

tff(f330,plain,
    ( ~ aScalar0(xC)
    | spl3_10 ),
    inference(subsumption_resolution,[],[f329,f143]) ).

tff(f143,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

tff(f47,axiom,
    ( ( xD = sdtasasdt0(xq,xq) )
    & aScalar0(xD) ),
    file('/export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431',m__1800) ).

tff(f329,plain,
    ( ~ aScalar0(xD)
    | ~ aScalar0(xC)
    | spl3_10 ),
    inference(resolution,[],[f322,f194]) ).

tff(f322,plain,
    ( ~ aScalar0(sdtasdt0(xC,xD))
    | spl3_10 ),
    inference(avatar_component_clause,[],[f320]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:17:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.IajXhBKQcf/Vampire---4.8_11431
% 0.60/0.75  % (11691)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76  % (11694)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76  % (11693)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (11695)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76  % (11696)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76  % (11692)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76  % (11697)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76  % (11698)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76  % (11691)First to succeed.
% 0.60/0.76  % (11691)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11681"
% 0.60/0.76  % (11698)Also succeeded, but the first one will report.
% 0.60/0.76  % (11691)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (11691)------------------------------
% 0.60/0.76  % (11691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (11691)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (11691)Memory used [KB]: 1211
% 0.60/0.76  % (11691)Time elapsed: 0.007 s
% 0.60/0.76  % (11691)Instructions burned: 16 (million)
% 0.60/0.76  % (11681)Success in time 0.399 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------