TSTP Solution File: RNG060+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG060+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 14:00:17 EDT 2023

% Result   : Theorem 17.12s 2.87s
% Output   : Refutation 17.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  204 (  78 unt;   0 def)
%            Number of atoms       :  454 ( 190 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  452 ( 202   ~; 196   |;  45   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  20 con; 0-2 aty)
%            Number of variables   :  122 (; 122   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79435,plain,
    $false,
    inference(subsumption_resolution,[],[f79422,f240]) ).

fof(f240,plain,
    sF6 != sF12,
    inference(definition_folding,[],[f130,f239,f238,f237,f235,f236,f235,f234,f233,f232,f231,f232,f231]) ).

fof(f231,plain,
    smndt0(xS) = sF4,
    introduced(function_definition,[]) ).

fof(f232,plain,
    sdtpldt0(xR,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f233,plain,
    sdtasdt0(sF5,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f234,plain,
    sdtasdt0(xR,xR) = sF7,
    introduced(function_definition,[]) ).

fof(f236,plain,
    sdtpldt0(sF7,sF8) = sF9,
    introduced(function_definition,[]) ).

fof(f235,plain,
    smndt0(xN) = sF8,
    introduced(function_definition,[]) ).

fof(f237,plain,
    sdtasdt0(xS,xS) = sF10,
    introduced(function_definition,[]) ).

fof(f238,plain,
    sdtpldt0(sF8,sF10) = sF11,
    introduced(function_definition,[]) ).

fof(f239,plain,
    sdtpldt0(sF9,sF11) = sF12,
    introduced(function_definition,[]) ).

fof(f130,plain,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference(flattening,[],[f60]) ).

fof(f60,negated_conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference(negated_conjecture,[],[f59]) ).

fof(f59,conjecture,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__) ).

fof(f79422,plain,
    sF6 = sF12,
    inference(superposition,[],[f79395,f239]) ).

fof(f79395,plain,
    sF6 = sdtpldt0(sF9,sF11),
    inference(subsumption_resolution,[],[f79394,f385]) ).

fof(f385,plain,
    aScalar0(sF9),
    inference(subsumption_resolution,[],[f359,f384]) ).

fof(f384,plain,
    aScalar0(sF7),
    inference(subsumption_resolution,[],[f379,f165]) ).

fof(f165,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__1892) ).

fof(f379,plain,
    ( aScalar0(sF7)
    | ~ aScalar0(xR) ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,plain,
    ( aScalar0(sF7)
    | ~ aScalar0(xR)
    | ~ aScalar0(xR) ),
    inference(superposition,[],[f205,f234]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,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/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mMulSc) ).

fof(f359,plain,
    ( ~ aScalar0(sF7)
    | aScalar0(sF9) ),
    inference(subsumption_resolution,[],[f348,f282]) ).

fof(f282,plain,
    aScalar0(sF8),
    inference(subsumption_resolution,[],[f280,f163]) ).

fof(f163,plain,
    aScalar0(xN),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__1949) ).

fof(f280,plain,
    ( aScalar0(sF8)
    | ~ aScalar0(xN) ),
    inference(superposition,[],[f185,f235]) ).

fof(f185,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => aScalar0(smndt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mNegSc) ).

fof(f348,plain,
    ( aScalar0(sF9)
    | ~ aScalar0(sF8)
    | ~ aScalar0(sF7) ),
    inference(superposition,[],[f204,f236]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f95]) ).

fof(f95,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/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mSumSc) ).

fof(f79394,plain,
    ( sF6 = sdtpldt0(sF9,sF11)
    | ~ aScalar0(sF9) ),
    inference(subsumption_resolution,[],[f79378,f388]) ).

fof(f388,plain,
    aScalar0(sF11),
    inference(subsumption_resolution,[],[f360,f387]) ).

fof(f387,plain,
    aScalar0(sF10),
    inference(subsumption_resolution,[],[f378,f167]) ).

fof(f167,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__1930) ).

fof(f378,plain,
    ( aScalar0(sF10)
    | ~ aScalar0(xS) ),
    inference(duplicate_literal_removal,[],[f372]) ).

fof(f372,plain,
    ( aScalar0(sF10)
    | ~ aScalar0(xS)
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f205,f237]) ).

fof(f360,plain,
    ( ~ aScalar0(sF10)
    | aScalar0(sF11) ),
    inference(subsumption_resolution,[],[f349,f282]) ).

fof(f349,plain,
    ( aScalar0(sF11)
    | ~ aScalar0(sF10)
    | ~ aScalar0(sF8) ),
    inference(superposition,[],[f204,f238]) ).

fof(f79378,plain,
    ( sF6 = sdtpldt0(sF9,sF11)
    | ~ aScalar0(sF11)
    | ~ aScalar0(sF9) ),
    inference(superposition,[],[f79261,f276]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(subsumption_resolution,[],[f230,f263]) ).

fof(f263,plain,
    sP3,
    inference(resolution,[],[f229,f174]) ).

fof(f174,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mSZeroSc) ).

fof(f229,plain,
    ! [X2] :
      ( ~ aScalar0(X2)
      | sP3 ),
    inference(cnf_transformation,[],[f229_D]) ).

fof(f229_D,plain,
    ( ! [X2] : ~ aScalar0(X2)
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sP3 ),
    inference(general_splitting,[],[f215,f229_D]) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mArith) ).

fof(f79261,plain,
    sF6 = sdtpldt0(sF11,sF9),
    inference(forward_demodulation,[],[f79260,f41809]) ).

fof(f41809,plain,
    sF6 = sdtpldt0(sz0z00,sF6),
    inference(forward_demodulation,[],[f41808,f233]) ).

fof(f41808,plain,
    sdtasdt0(sF5,sF5) = sdtpldt0(sz0z00,sF6),
    inference(forward_demodulation,[],[f41807,f15627]) ).

fof(f15627,plain,
    sz0z00 = sdtasdt0(sF5,sz0z00),
    inference(subsumption_resolution,[],[f15605,f390]) ).

fof(f390,plain,
    aScalar0(sF6),
    inference(subsumption_resolution,[],[f376,f357]) ).

fof(f357,plain,
    aScalar0(sF5),
    inference(subsumption_resolution,[],[f356,f165]) ).

fof(f356,plain,
    ( aScalar0(sF5)
    | ~ aScalar0(xR) ),
    inference(subsumption_resolution,[],[f344,f281]) ).

fof(f281,plain,
    aScalar0(sF4),
    inference(subsumption_resolution,[],[f279,f167]) ).

fof(f279,plain,
    ( aScalar0(sF4)
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f185,f231]) ).

fof(f344,plain,
    ( aScalar0(sF5)
    | ~ aScalar0(sF4)
    | ~ aScalar0(xR) ),
    inference(superposition,[],[f204,f232]) ).

fof(f376,plain,
    ( aScalar0(sF6)
    | ~ aScalar0(sF5) ),
    inference(duplicate_literal_removal,[],[f375]) ).

fof(f375,plain,
    ( aScalar0(sF6)
    | ~ aScalar0(sF5)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f205,f233]) ).

fof(f15605,plain,
    ( sz0z00 = sdtasdt0(sF5,sz0z00)
    | ~ aScalar0(sF6) ),
    inference(superposition,[],[f15573,f190]) ).

fof(f190,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,sz0z00)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 )
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mScZero) ).

fof(f15573,plain,
    sdtasdt0(sF5,sz0z00) = sdtasdt0(sF6,sz0z00),
    inference(subsumption_resolution,[],[f15572,f357]) ).

fof(f15572,plain,
    ( sdtasdt0(sF5,sz0z00) = sdtasdt0(sF6,sz0z00)
    | ~ aScalar0(sF5) ),
    inference(subsumption_resolution,[],[f15551,f174]) ).

fof(f15551,plain,
    ( sdtasdt0(sF5,sz0z00) = sdtasdt0(sF6,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f3057,f190]) ).

fof(f3057,plain,
    ! [X66] :
      ( sdtasdt0(sF5,sdtasdt0(sF5,X66)) = sdtasdt0(sF6,X66)
      | ~ aScalar0(X66) ),
    inference(subsumption_resolution,[],[f2994,f357]) ).

fof(f2994,plain,
    ! [X66] :
      ( sdtasdt0(sF5,sdtasdt0(sF5,X66)) = sdtasdt0(sF6,X66)
      | ~ aScalar0(X66)
      | ~ aScalar0(sF5) ),
    inference(duplicate_literal_removal,[],[f2961]) ).

fof(f2961,plain,
    ! [X66] :
      ( sdtasdt0(sF5,sdtasdt0(sF5,X66)) = sdtasdt0(sF6,X66)
      | ~ aScalar0(X66)
      | ~ aScalar0(sF5)
      | ~ aScalar0(sF5) ),
    inference(superposition,[],[f216,f233]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f41807,plain,
    sdtasdt0(sF5,sF5) = sdtpldt0(sdtasdt0(sF5,sz0z00),sF6),
    inference(subsumption_resolution,[],[f41806,f357]) ).

fof(f41806,plain,
    ( sdtasdt0(sF5,sF5) = sdtpldt0(sdtasdt0(sF5,sz0z00),sF6)
    | ~ aScalar0(sF5) ),
    inference(subsumption_resolution,[],[f41774,f174]) ).

fof(f41774,plain,
    ( sdtasdt0(sF5,sF5) = sdtpldt0(sdtasdt0(sF5,sz0z00),sF6)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f3621,f189]) ).

fof(f189,plain,
    ! [X0] :
      ( sdtpldt0(sz0z00,X0) = X0
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f3621,plain,
    ! [X75] :
      ( sdtasdt0(sF5,sdtpldt0(X75,sF5)) = sdtpldt0(sdtasdt0(sF5,X75),sF6)
      | ~ aScalar0(X75) ),
    inference(subsumption_resolution,[],[f3477,f357]) ).

fof(f3477,plain,
    ! [X75] :
      ( sdtasdt0(sF5,sdtpldt0(X75,sF5)) = sdtpldt0(sdtasdt0(sF5,X75),sF6)
      | ~ aScalar0(sF5)
      | ~ aScalar0(X75) ),
    inference(duplicate_literal_removal,[],[f3462]) ).

fof(f3462,plain,
    ! [X75] :
      ( sdtasdt0(sF5,sdtpldt0(X75,sF5)) = sdtpldt0(sdtasdt0(sF5,X75),sF6)
      | ~ aScalar0(sF5)
      | ~ aScalar0(X75)
      | ~ aScalar0(sF5) ),
    inference(superposition,[],[f218,f233]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mDistr) ).

fof(f79260,plain,
    sdtpldt0(sz0z00,sF6) = sdtpldt0(sF11,sF9),
    inference(subsumption_resolution,[],[f79259,f388]) ).

fof(f79259,plain,
    ( sdtpldt0(sz0z00,sF6) = sdtpldt0(sF11,sF9)
    | ~ aScalar0(sF11) ),
    inference(subsumption_resolution,[],[f79086,f390]) ).

fof(f79086,plain,
    ( sdtpldt0(sz0z00,sF6) = sdtpldt0(sF11,sF9)
    | ~ aScalar0(sF6)
    | ~ aScalar0(sF11) ),
    inference(superposition,[],[f2436,f52732]) ).

fof(f52732,plain,
    sF9 = sdtpldt0(smndt0(sF11),sF6),
    inference(forward_demodulation,[],[f52731,f34746]) ).

fof(f34746,plain,
    sF9 = sdtasdt0(xR,sF5),
    inference(forward_demodulation,[],[f34745,f236]) ).

fof(f34745,plain,
    sdtpldt0(sF7,sF8) = sdtasdt0(xR,sF5),
    inference(forward_demodulation,[],[f34744,f248]) ).

fof(f248,plain,
    sF8 = sdtasdt0(xR,sF4),
    inference(forward_demodulation,[],[f247,f231]) ).

fof(f247,plain,
    sdtasdt0(xR,smndt0(xS)) = sF8,
    inference(forward_demodulation,[],[f169,f235]) ).

fof(f169,plain,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,axiom,
    ( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
    & smndt0(xN) = sdtasdt0(smndt0(xS),xR)
    & sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__2144) ).

fof(f34744,plain,
    sdtasdt0(xR,sF5) = sdtpldt0(sF7,sdtasdt0(xR,sF4)),
    inference(subsumption_resolution,[],[f34700,f281]) ).

fof(f34700,plain,
    ( sdtasdt0(xR,sF5) = sdtpldt0(sF7,sdtasdt0(xR,sF4))
    | ~ aScalar0(sF4) ),
    inference(superposition,[],[f3539,f232]) ).

fof(f3539,plain,
    ! [X54] :
      ( sdtasdt0(xR,sdtpldt0(xR,X54)) = sdtpldt0(sF7,sdtasdt0(xR,X54))
      | ~ aScalar0(X54) ),
    inference(subsumption_resolution,[],[f3494,f165]) ).

fof(f3494,plain,
    ! [X54] :
      ( sdtasdt0(xR,sdtpldt0(xR,X54)) = sdtpldt0(sF7,sdtasdt0(xR,X54))
      | ~ aScalar0(X54)
      | ~ aScalar0(xR) ),
    inference(duplicate_literal_removal,[],[f3398]) ).

fof(f3398,plain,
    ! [X54] :
      ( sdtasdt0(xR,sdtpldt0(xR,X54)) = sdtpldt0(sF7,sdtasdt0(xR,X54))
      | ~ aScalar0(X54)
      | ~ aScalar0(xR)
      | ~ aScalar0(xR) ),
    inference(superposition,[],[f218,f234]) ).

fof(f52731,plain,
    sdtasdt0(xR,sF5) = sdtpldt0(smndt0(sF11),sF6),
    inference(forward_demodulation,[],[f52730,f35467]) ).

fof(f35467,plain,
    smndt0(sF11) = sdtasdt0(xS,sF5),
    inference(subsumption_resolution,[],[f35443,f357]) ).

fof(f35443,plain,
    ( smndt0(sF11) = sdtasdt0(xS,sF5)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f731,f35414]) ).

fof(f35414,plain,
    sF11 = sdtasdt0(sF4,sF5),
    inference(forward_demodulation,[],[f35413,f238]) ).

fof(f35413,plain,
    sdtpldt0(sF8,sF10) = sdtasdt0(sF4,sF5),
    inference(forward_demodulation,[],[f35412,f244]) ).

fof(f244,plain,
    sF10 = sdtasdt0(sF4,sF4),
    inference(forward_demodulation,[],[f243,f231]) ).

fof(f243,plain,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sF10,
    inference(forward_demodulation,[],[f171,f237]) ).

fof(f171,plain,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    inference(cnf_transformation,[],[f58]) ).

fof(f35412,plain,
    sdtasdt0(sF4,sF5) = sdtpldt0(sF8,sdtasdt0(sF4,sF4)),
    inference(subsumption_resolution,[],[f35370,f281]) ).

fof(f35370,plain,
    ( sdtasdt0(sF4,sF5) = sdtpldt0(sF8,sdtasdt0(sF4,sF4))
    | ~ aScalar0(sF4) ),
    inference(superposition,[],[f3552,f232]) ).

fof(f3552,plain,
    ! [X70] :
      ( sdtasdt0(sF4,sdtpldt0(xR,X70)) = sdtpldt0(sF8,sdtasdt0(sF4,X70))
      | ~ aScalar0(X70) ),
    inference(subsumption_resolution,[],[f3551,f281]) ).

fof(f3551,plain,
    ! [X70] :
      ( sdtasdt0(sF4,sdtpldt0(xR,X70)) = sdtpldt0(sF8,sdtasdt0(sF4,X70))
      | ~ aScalar0(X70)
      | ~ aScalar0(sF4) ),
    inference(subsumption_resolution,[],[f3408,f165]) ).

fof(f3408,plain,
    ! [X70] :
      ( sdtasdt0(sF4,sdtpldt0(xR,X70)) = sdtpldt0(sF8,sdtasdt0(sF4,X70))
      | ~ aScalar0(X70)
      | ~ aScalar0(xR)
      | ~ aScalar0(sF4) ),
    inference(superposition,[],[f218,f246]) ).

fof(f246,plain,
    sF8 = sdtasdt0(sF4,xR),
    inference(forward_demodulation,[],[f245,f235]) ).

fof(f245,plain,
    smndt0(xN) = sdtasdt0(sF4,xR),
    inference(forward_demodulation,[],[f170,f231]) ).

fof(f170,plain,
    smndt0(xN) = sdtasdt0(smndt0(xS),xR),
    inference(cnf_transformation,[],[f58]) ).

fof(f731,plain,
    ! [X9] :
      ( sdtasdt0(xS,X9) = smndt0(sdtasdt0(sF4,X9))
      | ~ aScalar0(X9) ),
    inference(subsumption_resolution,[],[f717,f281]) ).

fof(f717,plain,
    ! [X9] :
      ( sdtasdt0(xS,X9) = smndt0(sdtasdt0(sF4,X9))
      | ~ aScalar0(X9)
      | ~ aScalar0(sF4) ),
    inference(duplicate_literal_removal,[],[f702]) ).

fof(f702,plain,
    ! [X9] :
      ( sdtasdt0(xS,X9) = smndt0(sdtasdt0(sF4,X9))
      | ~ aScalar0(X9)
      | ~ aScalar0(sF4)
      | ~ aScalar0(X9) ),
    inference(superposition,[],[f207,f647]) ).

fof(f647,plain,
    ! [X4] :
      ( sdtasdt0(xS,X4) = sdtasdt0(sF4,smndt0(X4))
      | ~ aScalar0(X4) ),
    inference(subsumption_resolution,[],[f628,f167]) ).

fof(f628,plain,
    ! [X4] :
      ( sdtasdt0(xS,X4) = sdtasdt0(sF4,smndt0(X4))
      | ~ aScalar0(X4)
      | ~ aScalar0(xS) ),
    inference(superposition,[],[f206,f231]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mMDNeg) ).

fof(f207,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
        & sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',mMNeg) ).

fof(f52730,plain,
    sdtasdt0(xR,sF5) = sdtpldt0(sdtasdt0(xS,sF5),sF6),
    inference(forward_demodulation,[],[f52729,f33439]) ).

fof(f33439,plain,
    xR = sdtpldt0(xR,sz0z00),
    inference(forward_demodulation,[],[f33438,f166]) ).

fof(f166,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f33438,plain,
    sdtasdt0(xC,xG) = sdtpldt0(xR,sz0z00),
    inference(forward_demodulation,[],[f33437,f10912]) ).

fof(f10912,plain,
    sz0z00 = sdtasdt0(xC,sz0z00),
    inference(subsumption_resolution,[],[f10890,f165]) ).

fof(f10890,plain,
    ( sz0z00 = sdtasdt0(xC,sz0z00)
    | ~ aScalar0(xR) ),
    inference(superposition,[],[f10871,f190]) ).

fof(f10871,plain,
    sdtasdt0(xR,sz0z00) = sdtasdt0(xC,sz0z00),
    inference(forward_demodulation,[],[f10870,f10585]) ).

fof(f10585,plain,
    sz0z00 = sdtasdt0(xB,sz0z00),
    inference(subsumption_resolution,[],[f10563,f147]) ).

fof(f147,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__1854) ).

fof(f10563,plain,
    ( sz0z00 = sdtasdt0(xB,sz0z00)
    | ~ aScalar0(xG) ),
    inference(superposition,[],[f10531,f190]) ).

fof(f10531,plain,
    sdtasdt0(xB,sz0z00) = sdtasdt0(xG,sz0z00),
    inference(subsumption_resolution,[],[f10530,f159]) ).

fof(f159,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__1766) ).

fof(f10530,plain,
    ( sdtasdt0(xB,sz0z00) = sdtasdt0(xG,sz0z00)
    | ~ aScalar0(xB) ),
    inference(subsumption_resolution,[],[f10506,f174]) ).

fof(f10506,plain,
    ( sdtasdt0(xB,sz0z00) = sdtasdt0(xG,sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xB) ),
    inference(superposition,[],[f3025,f190]) ).

fof(f3025,plain,
    ! [X38] :
      ( sdtasdt0(xB,sdtasdt0(xB,X38)) = sdtasdt0(xG,X38)
      | ~ aScalar0(X38) ),
    inference(subsumption_resolution,[],[f2998,f159]) ).

fof(f2998,plain,
    ! [X38] :
      ( sdtasdt0(xB,sdtasdt0(xB,X38)) = sdtasdt0(xG,X38)
      | ~ aScalar0(X38)
      | ~ aScalar0(xB) ),
    inference(duplicate_literal_removal,[],[f2939]) ).

fof(f2939,plain,
    ! [X38] :
      ( sdtasdt0(xB,sdtasdt0(xB,X38)) = sdtasdt0(xG,X38)
      | ~ aScalar0(X38)
      | ~ aScalar0(xB)
      | ~ aScalar0(xB) ),
    inference(superposition,[],[f216,f148]) ).

fof(f148,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f10870,plain,
    sdtasdt0(xR,sz0z00) = sdtasdt0(xC,sdtasdt0(xB,sz0z00)),
    inference(subsumption_resolution,[],[f10848,f174]) ).

fof(f10848,plain,
    ( sdtasdt0(xR,sz0z00) = sdtasdt0(xC,sdtasdt0(xB,sz0z00))
    | ~ aScalar0(sz0z00) ),
    inference(superposition,[],[f3027,f10531]) ).

fof(f3027,plain,
    ! [X39] :
      ( sdtasdt0(xC,sdtasdt0(xG,X39)) = sdtasdt0(xR,X39)
      | ~ aScalar0(X39) ),
    inference(subsumption_resolution,[],[f3026,f153]) ).

fof(f153,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290',m__1783) ).

fof(f3026,plain,
    ! [X39] :
      ( sdtasdt0(xC,sdtasdt0(xG,X39)) = sdtasdt0(xR,X39)
      | ~ aScalar0(X39)
      | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f2940,f147]) ).

fof(f2940,plain,
    ! [X39] :
      ( sdtasdt0(xC,sdtasdt0(xG,X39)) = sdtasdt0(xR,X39)
      | ~ aScalar0(X39)
      | ~ aScalar0(xG)
      | ~ aScalar0(xC) ),
    inference(superposition,[],[f216,f166]) ).

fof(f33437,plain,
    sdtasdt0(xC,xG) = sdtpldt0(xR,sdtasdt0(xC,sz0z00)),
    inference(subsumption_resolution,[],[f33412,f174]) ).

fof(f33412,plain,
    ( sdtasdt0(xC,xG) = sdtpldt0(xR,sdtasdt0(xC,sz0z00))
    | ~ aScalar0(sz0z00) ),
    inference(superposition,[],[f3528,f33149]) ).

fof(f33149,plain,
    xG = sdtpldt0(xG,sz0z00),
    inference(forward_demodulation,[],[f33148,f148]) ).

fof(f33148,plain,
    sdtasdt0(xB,xB) = sdtpldt0(xG,sz0z00),
    inference(forward_demodulation,[],[f33147,f10585]) ).

fof(f33147,plain,
    sdtasdt0(xB,xB) = sdtpldt0(xG,sdtasdt0(xB,sz0z00)),
    inference(subsumption_resolution,[],[f33146,f159]) ).

fof(f33146,plain,
    ( sdtasdt0(xB,xB) = sdtpldt0(xG,sdtasdt0(xB,sz0z00))
    | ~ aScalar0(xB) ),
    inference(subsumption_resolution,[],[f33120,f174]) ).

fof(f33120,plain,
    ( sdtasdt0(xB,xB) = sdtpldt0(xG,sdtasdt0(xB,sz0z00))
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xB) ),
    inference(superposition,[],[f3526,f188]) ).

fof(f188,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz0z00) = X0
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f3526,plain,
    ! [X47] :
      ( sdtasdt0(xB,sdtpldt0(xB,X47)) = sdtpldt0(xG,sdtasdt0(xB,X47))
      | ~ aScalar0(X47) ),
    inference(subsumption_resolution,[],[f3495,f159]) ).

fof(f3495,plain,
    ! [X47] :
      ( sdtasdt0(xB,sdtpldt0(xB,X47)) = sdtpldt0(xG,sdtasdt0(xB,X47))
      | ~ aScalar0(X47)
      | ~ aScalar0(xB) ),
    inference(duplicate_literal_removal,[],[f3391]) ).

fof(f3391,plain,
    ! [X47] :
      ( sdtasdt0(xB,sdtpldt0(xB,X47)) = sdtpldt0(xG,sdtasdt0(xB,X47))
      | ~ aScalar0(X47)
      | ~ aScalar0(xB)
      | ~ aScalar0(xB) ),
    inference(superposition,[],[f218,f148]) ).

fof(f3528,plain,
    ! [X48] :
      ( sdtasdt0(xC,sdtpldt0(xG,X48)) = sdtpldt0(xR,sdtasdt0(xC,X48))
      | ~ aScalar0(X48) ),
    inference(subsumption_resolution,[],[f3527,f153]) ).

fof(f3527,plain,
    ! [X48] :
      ( sdtasdt0(xC,sdtpldt0(xG,X48)) = sdtpldt0(xR,sdtasdt0(xC,X48))
      | ~ aScalar0(X48)
      | ~ aScalar0(xC) ),
    inference(subsumption_resolution,[],[f3392,f147]) ).

fof(f3392,plain,
    ! [X48] :
      ( sdtasdt0(xC,sdtpldt0(xG,X48)) = sdtpldt0(xR,sdtasdt0(xC,X48))
      | ~ aScalar0(X48)
      | ~ aScalar0(xG)
      | ~ aScalar0(xC) ),
    inference(superposition,[],[f218,f166]) ).

fof(f52729,plain,
    sdtpldt0(sdtasdt0(xS,sF5),sF6) = sdtasdt0(sdtpldt0(xR,sz0z00),sF5),
    inference(subsumption_resolution,[],[f52688,f167]) ).

fof(f52688,plain,
    ( sdtpldt0(sdtasdt0(xS,sF5),sF6) = sdtasdt0(sdtpldt0(xR,sz0z00),sF5)
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f4170,f9142]) ).

fof(f9142,plain,
    sdtpldt0(xR,sz0z00) = sdtpldt0(xS,sF5),
    inference(subsumption_resolution,[],[f9141,f167]) ).

fof(f9141,plain,
    ( sdtpldt0(xR,sz0z00) = sdtpldt0(xS,sF5)
    | ~ aScalar0(xS) ),
    inference(subsumption_resolution,[],[f9132,f357]) ).

fof(f9132,plain,
    ( sdtpldt0(xR,sz0z00) = sdtpldt0(xS,sF5)
    | ~ aScalar0(sF5)
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f9110,f276]) ).

fof(f9110,plain,
    sdtpldt0(sF5,xS) = sdtpldt0(xR,sz0z00),
    inference(subsumption_resolution,[],[f9098,f167]) ).

fof(f9098,plain,
    ( sdtpldt0(sF5,xS) = sdtpldt0(xR,sz0z00)
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f2450,f328]) ).

fof(f328,plain,
    sz0z00 = sdtpldt0(sF4,xS),
    inference(subsumption_resolution,[],[f322,f281]) ).

fof(f322,plain,
    ( sz0z00 = sdtpldt0(sF4,xS)
    | ~ aScalar0(sF4) ),
    inference(superposition,[],[f192,f312]) ).

fof(f312,plain,
    xS = smndt0(sF4),
    inference(subsumption_resolution,[],[f309,f167]) ).

fof(f309,plain,
    ( xS = smndt0(sF4)
    | ~ aScalar0(xS) ),
    inference(superposition,[],[f194,f231]) ).

fof(f194,plain,
    ! [X0] :
      ( smndt0(smndt0(X0)) = X0
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f192,plain,
    ! [X0] :
      ( sz0z00 = sdtpldt0(X0,smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f2450,plain,
    ! [X35] :
      ( sdtpldt0(xR,sdtpldt0(sF4,X35)) = sdtpldt0(sF5,X35)
      | ~ aScalar0(X35) ),
    inference(subsumption_resolution,[],[f2449,f165]) ).

fof(f2449,plain,
    ! [X35] :
      ( sdtpldt0(xR,sdtpldt0(sF4,X35)) = sdtpldt0(sF5,X35)
      | ~ aScalar0(X35)
      | ~ aScalar0(xR) ),
    inference(subsumption_resolution,[],[f2402,f281]) ).

fof(f2402,plain,
    ! [X35] :
      ( sdtpldt0(xR,sdtpldt0(sF4,X35)) = sdtpldt0(sF5,X35)
      | ~ aScalar0(X35)
      | ~ aScalar0(sF4)
      | ~ aScalar0(xR) ),
    inference(superposition,[],[f214,f232]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f4170,plain,
    ! [X75] :
      ( sdtasdt0(sdtpldt0(X75,sF5),sF5) = sdtpldt0(sdtasdt0(X75,sF5),sF6)
      | ~ aScalar0(X75) ),
    inference(subsumption_resolution,[],[f4026,f357]) ).

fof(f4026,plain,
    ! [X75] :
      ( sdtasdt0(sdtpldt0(X75,sF5),sF5) = sdtpldt0(sdtasdt0(X75,sF5),sF6)
      | ~ aScalar0(sF5)
      | ~ aScalar0(X75) ),
    inference(duplicate_literal_removal,[],[f4007]) ).

fof(f4007,plain,
    ! [X75] :
      ( sdtasdt0(sdtpldt0(X75,sF5),sF5) = sdtpldt0(sdtasdt0(X75,sF5),sF6)
      | ~ aScalar0(sF5)
      | ~ aScalar0(sF5)
      | ~ aScalar0(X75) ),
    inference(superposition,[],[f219,f233]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f2436,plain,
    ! [X2,X3] :
      ( sdtpldt0(X2,sdtpldt0(smndt0(X2),X3)) = sdtpldt0(sz0z00,X3)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2) ),
    inference(subsumption_resolution,[],[f2433,f185]) ).

fof(f2433,plain,
    ! [X2,X3] :
      ( sdtpldt0(X2,sdtpldt0(smndt0(X2),X3)) = sdtpldt0(sz0z00,X3)
      | ~ aScalar0(X3)
      | ~ aScalar0(smndt0(X2))
      | ~ aScalar0(X2) ),
    inference(duplicate_literal_removal,[],[f2388]) ).

fof(f2388,plain,
    ! [X2,X3] :
      ( sdtpldt0(X2,sdtpldt0(smndt0(X2),X3)) = sdtpldt0(sz0z00,X3)
      | ~ aScalar0(X3)
      | ~ aScalar0(smndt0(X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X2) ),
    inference(superposition,[],[f214,f192]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG060+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34  % Computer : n032.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun Aug 27 01:36:59 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.yveb9BPnNC/Vampire---4.8_23290
% 0.19/0.34  % (23446)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.38  % (23453)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.19/0.39  % (23449)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.19/0.39  % (23452)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.19/0.40  % (23447)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.19/0.40  % (23450)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.19/0.40  % (23451)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.40  % (23448)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 17.12/2.86  % (23447)First to succeed.
% 17.12/2.87  % (23447)Refutation found. Thanks to Tanya!
% 17.12/2.87  % SZS status Theorem for Vampire---4
% 17.12/2.87  % SZS output start Proof for Vampire---4
% See solution above
% 17.12/2.87  % (23447)------------------------------
% 17.12/2.87  % (23447)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 17.12/2.87  % (23447)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 17.12/2.87  % (23447)Termination reason: Refutation
% 17.12/2.87  
% 17.12/2.87  % (23447)Memory used [KB]: 129976
% 17.12/2.87  % (23447)Time elapsed: 2.471 s
% 17.12/2.87  % (23447)------------------------------
% 17.12/2.87  % (23447)------------------------------
% 17.12/2.87  % (23446)Success in time 2.5 s
% 17.12/2.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------