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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG064+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:38:41 PM UTC 2026

% Result   : Theorem 47.47s 15.84s
% Output   : CNFRefutation 47.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  157 (  56 unt;   0 def)
%            Number of atoms       :  452 (  55 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  543 ( 248   ~; 240   |;  41   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :  136 (   0 sgn 136   !;   0   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

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

fof(f12,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => aScalar0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( smndt0(sz0z00) = sz0z00
        & smndt0(smndt0(X0)) = X0
        & sdtpldt0(smndt0(X0),X0) = sz0z00
        & sdtpldt0(X0,smndt0(X0)) = sz0z00
        & sdtasdt0(sz0z00,X0) = sz0z00
        & sdtasdt0(X0,sz0z00) = sz0z00
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).

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

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

fof(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/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(sz0z00,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X0) )
       => ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
          & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

fof(f27,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

fof(f37,axiom,
    ! [X0] :
      ( aVector0(X0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).

fof(f42,axiom,
    ( xp = sziznziztdt0(xs)
    & aVector0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

fof(f45,axiom,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).

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

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).

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

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

fof(f55,axiom,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).

fof(f58,axiom,
    ( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
    & sdtasdt0(smndt0(xS),xR) = smndt0(xN)
    & sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

fof(f64,conjecture,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f65,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(negated_conjecture,[status(cth)],[f64]) ).

fof(f71,plain,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(flattening,[],[f65]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | aScalar0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | ( smndt0(sz0z00) = sz0z00
        & smndt0(smndt0(X0)) = X0
        & sdtpldt0(smndt0(X0),X0) = sz0z00
        & sdtpldt0(X0,smndt0(X0)) = sz0z00
        & sdtasdt0(sz0z00,X0) = sz0z00
        & sdtasdt0(X0,sz0z00) = sz0z00
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(X0,X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X0,X2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X0,X2) ),
    inference(flattening,[],[f97]) ).

fof(f99,plain,
    ! [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)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f100,plain,
    ! [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)) ),
    inference(flattening,[],[f99]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(flattening,[],[f101]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
    inference(flattening,[],[f105]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f138,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | aScalar0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtasdt0(X0,sz0z00) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtpldt0(X0,sz0z00) = X0 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(X0,X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X0,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f163,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f164,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f188,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f42]) ).

fof(f194,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f195,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f196,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f203,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f204,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f207,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f208,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f212,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f214,plain,
    aScalar0(xN),
    inference(cnf_transformation,[],[f55]) ).

fof(f218,plain,
    smndt0(xN) = sdtasdt0(smndt0(xS),xR),
    inference(cnf_transformation,[],[f58]) ).

fof(f219,plain,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(cnf_transformation,[],[f58]) ).

fof(f225,plain,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_56,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_60,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,sz0z00) = X0 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,sz0z00) = sz0z00 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_64,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_78,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sdtlseqdt0(X0,X2)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_86,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_99,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_105,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_111,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_113,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_114,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(cnf_transformation,[],[f195]) ).

tcf(c_121,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_122,plain,
    sdtasdt0(xB,xB) = xG,
    inference(cnf_transformation,[],[f203]) ).

tcf(c_125,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_126,plain,
    sdtasdt0(xC,xG) = xR,
    inference(cnf_transformation,[],[f207]) ).

tcf(c_129,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_131,plain,
    aScalar0(xN),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_135,plain,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_136,plain,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_143,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_146,plain,
    ( aScalar0(smndt0(xS))
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_150,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_161,plain,
    ( aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_1505,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(subtyping,[status(esa)],[c_143]) ).

tcf(c_1512,plain,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    inference(subtyping,[status(esa)],[c_136]) ).

tcf(c_1513,plain,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(subtyping,[status(esa)],[c_135]) ).

tcf(c_1517,plain,
    aScalar0(xN),
    inference(subtyping,[status(esa)],[c_131]) ).

tcf(c_1519,plain,
    aScalar0(xS),
    inference(subtyping,[status(esa)],[c_129]) ).

tcf(c_1522,plain,
    sdtasdt0(xC,xG) = xR,
    inference(subtyping,[status(esa)],[c_126]) ).

tcf(c_1523,plain,
    aScalar0(xR),
    inference(subtyping,[status(esa)],[c_125]) ).

tcf(c_1526,plain,
    sdtasdt0(xB,xB) = xG,
    inference(subtyping,[status(esa)],[c_122]) ).

tcf(c_1527,plain,
    aScalar0(xG),
    inference(subtyping,[status(esa)],[c_121]) ).

tcf(c_1534,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(subtyping,[status(esa)],[c_114]) ).

tcf(c_1535,plain,
    aScalar0(xC),
    inference(subtyping,[status(esa)],[c_113]) ).

tcf(c_1536,plain,
    aScalar0(xB),
    inference(subtyping,[status(esa)],[c_111]) ).

tcf(c_1542,plain,
    aVector0(xp),
    inference(subtyping,[status(esa)],[c_105]) ).

tcf(c_1547,plain,
    ! [X0_iProver_sdtlbdtrb0_1: iProver_sdtlbdtrb0_1] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0_iProver_sdtlbdtrb0_1,X0_iProver_sdtlbdtrb0_1))
      | ~ aVector0(X0_iProver_sdtlbdtrb0_1) ),
    inference(subtyping,[status(esa)],[c_99]) ).

tcf(c_1560,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2))
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_86]) ).

tcf(c_1561,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(sz0z00,X1_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(sz0z00,X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_85]) ).

tcf(c_1564,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2),sdtasdt0(X1_iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2))
      | ~ aScalar0(X3_iProver_sdtasdt0_2)
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(sz0z00,X2_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X2_iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_82]) ).

tcf(c_1565,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sdtpldt0(X0_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2),sdtpldt0(X1_iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2))
      | ~ aScalar0(X3_iProver_sdtasdt0_2)
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X2_iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_81]) ).

tcf(c_1566,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(X0_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X1_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_80]) ).

tcf(c_1568,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(X0_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_78]) ).

tcf(c_1581,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtpldt0(X0_iProver_sdtasdt0_2,smndt0(X0_iProver_sdtasdt0_2)) = sz0z00 )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_64]) ).

tcf(c_1583,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,sz0z00) = sz0z00 )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_62]) ).

tcf(c_1585,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtpldt0(X0_iProver_sdtasdt0_2,sz0z00) = X0_iProver_sdtasdt0_2 )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_60]) ).

tcf(c_1586,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(smndt0(X0_iProver_sdtasdt0_2))
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_59]) ).

tcf(c_1587,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_58]) ).

tcf(c_1589,plain,
    aScalar0(sz0z00),
    inference(subtyping,[status(esa)],[c_56]) ).

tcf(c_2757,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(superposition,[status(thm)],[c_1526,c_1560]) ).

tcf(c_2758,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(forward_subsumption_resolution,[status(thm)],[c_2757,c_1536]) ).

tcf(c_2760,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(superposition,[status(thm)],[c_1534,c_1547]) ).

tcf(c_2763,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(forward_subsumption_resolution,[status(thm)],[c_2760,c_1542]) ).

tcf(c_2776,plain,
    sdtpldt0(xN,sz0z00) = xN,
    inference(superposition,[status(thm)],[c_1517,c_1585]) ).

tcf(c_2794,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_1589,c_1583]) ).

tcf(c_2807,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(smndt0(X0_iProver_sdtasdt0_2),sz0z00) = sz0z00 )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1586,c_1583]) ).

tcf(c_2857,plain,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(xR)
    | ~ aScalar0(smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_1513,c_1587]) ).

tcf(c_2864,plain,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2857,c_1523]) ).

tcf(c_2882,plain,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(superposition,[status(thm)],[c_1517,c_1581]) ).

tcf(c_3198,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC) ),
    inference(superposition,[status(thm)],[c_1522,c_1561]) ).

tcf(c_3209,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3198,c_1527,c_1535]) ).

tcf(c_3266,plain,
    ( aScalar0(sdtasdt0(xR,xR))
    | ~ aScalar0(xR) ),
    inference(instantiation,[status(thm)],[c_1587]) ).

tcf(c_3517,plain,
    ( ~ aScalar0(xN)
    | ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(xN,sdtasdt0(xR,xR)) ),
    inference(superposition,[status(thm)],[c_1565,c_1505]) ).

tcf(c_3520,plain,
    ( ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(xN,sdtasdt0(xR,xR)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3517,c_1517]) ).

tcf(c_3585,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),smndt0(xN))
      | ~ aScalar0(xR)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(smndt0(xS))
      | ~ sdtlseqdt0(sz0z00,X1_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X1_iProver_sdtasdt0_2,xR)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_1512,c_1564]) ).

tcf(c_3603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),smndt0(xN))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(smndt0(xS))
      | ~ sdtlseqdt0(sz0z00,X1_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X1_iProver_sdtasdt0_2,xR)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3585,c_1523]) ).

tcf(c_3648,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(xN,sdtasdt0(xS,xS))
      | ~ aScalar0(xN)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(xN,X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xS,xS))
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xS,xS)) ),
    inference(instantiation,[status(thm)],[c_1566]) ).

tcf(c_3805,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(xN,sdtpldt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2))
      | ~ aScalar0(xN)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(xN,X1_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(sz0z00,X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2776,c_1565]) ).

tcf(c_3808,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(xN,sdtpldt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(xN,X1_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(sz0z00,X0_iProver_sdtasdt0_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3805,c_1517,c_1589]) ).

tcf(c_4203,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(xN,sdtasdt0(xR,xR))
      | ~ aScalar0(xN)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(xN,X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xR,xR)) ),
    inference(instantiation,[status(thm)],[c_1566]) ).

tcf(c_4294,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ aScalar0(sz0z00) ),
    inference(superposition,[status(thm)],[c_2794,c_1560]) ).

tcf(c_4300,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(forward_subsumption_resolution,[status(thm)],[c_4294,c_1589]) ).

tcf(c_4317,plain,
    sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_1519,c_2807]) ).

tcf(c_4495,plain,
    ( sdtlseqdt0(xN,xN)
    | ~ aScalar0(xN) ),
    inference(instantiation,[status(thm)],[c_1568]) ).

tcf(c_5010,plain,
    aScalar0(smndt0(xN)),
    inference(global_subsumption_just,[status(thm)],[c_2864,c_129,c_146,c_2864]) ).

tcf(c_6200,plain,
    ( sdtlseqdt0(xN,sdtasdt0(xS,xS))
    | ~ aScalar0(xN)
    | ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)) ),
    inference(instantiation,[status(thm)],[c_3648]) ).

tcf(c_14237,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(global_subsumption_just,[status(thm)],[c_3209,c_2758,c_2763,c_3209]) ).

tcf(c_22865,plain,
    ( sdtlseqdt0(smndt0(xS),smndt0(xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(instantiation,[status(thm)],[c_1568]) ).

tcf(c_24054,plain,
    ( ~ sdtlseqdt0(xN,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(xN,sdtasdt0(xR,xR)) ),
    inference(global_subsumption_just,[status(thm)],[c_3520,c_129,c_125,c_161,c_3266,c_3520]) ).

tcf(c_27446,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
    | ~ aScalar0(xR) ),
    inference(instantiation,[status(thm)],[c_1560]) ).

tcf(c_28943,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),smndt0(xN))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,smndt0(xS))
      | ~ sdtlseqdt0(X1_iProver_sdtasdt0_2,xR)
      | ~ sdtlseqdt0(sz0z00,X1_iProver_sdtasdt0_2) ),
    inference(global_subsumption_just,[status(thm)],[c_3603,c_129,c_146,c_3603]) ).

tcf(c_28944,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( sdtlseqdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),smndt0(xN))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(sz0z00,X1_iProver_sdtasdt0_2)
      | ~ sdtlseqdt0(X1_iProver_sdtasdt0_2,xR)
      | ~ sdtlseqdt0(X0_iProver_sdtasdt0_2,smndt0(xS)) ),
    inference(renaming,[status(thm)],[c_28943]) ).

tcf(c_32415,plain,
    ( sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(xN)
    | ~ sdtlseqdt0(xN,xN)
    | ~ aScalar0(smndt0(xN))
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(superposition,[status(thm)],[c_2882,c_3808]) ).

tcf(c_32454,plain,
    ( sdtlseqdt0(xN,sz0z00)
    | ~ sdtlseqdt0(xN,xN)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32415,c_1517,c_5010]) ).

tcf(c_36974,plain,
    ( sdtlseqdt0(xN,sdtasdt0(xR,xR))
    | ~ aScalar0(xN)
    | ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)) ),
    inference(instantiation,[status(thm)],[c_4203]) ).

tcf(c_46607,plain,
    ( sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,sz0z00)
    | ~ aScalar0(smndt0(xS))
    | ~ sdtlseqdt0(smndt0(xS),smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_4317,c_28944]) ).

tcf(c_46653,plain,
    ( sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ aScalar0(smndt0(xS))
    | ~ sdtlseqdt0(smndt0(xS),smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_46607,c_1589,c_14237,c_4300]) ).

tcf(c_46664,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_46653,c_36974,c_32454,c_27446,c_24054,c_22865,c_6200,c_4495,c_3266,c_161,c_150,c_146,c_56,c_125,c_129,c_131]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG064+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n019.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 08:02:49 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 47.47/15.84  % SZS status Started for theBenchmark.p
% 47.47/15.84  % SZS status Theorem for theBenchmark.p
% 47.47/15.84  
% 47.47/15.84  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 47.47/15.84  
% 47.47/15.84  % ------  iProver source info
% 47.47/15.84  
% 47.47/15.84  % git: date: 2026-07-19 20:42:38 +0200
% 47.47/15.84  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 47.47/15.84  % git: non_committed_changes: false
% 47.47/15.84  
% 47.47/15.84  % ------ Parsing...
% 47.47/15.84  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 47.47/15.84  
% 47.47/15.84  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 47.47/15.84  
% 47.47/15.84  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 47.47/15.84  
% 47.47/15.84  % ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 47.47/15.84  % ------ Proving...
% 47.47/15.84  % ------ Problem Properties 
% 47.47/15.84  
% 47.47/15.84  % 
% 47.47/15.84  % clauses                               97
% 47.47/15.84  % conjectures                           1
% 47.47/15.84  % EPR                                   25
% 47.47/15.84  % Horn                                  85
% 47.47/15.84  % unary                                 46
% 47.47/15.84  % binary                                17
% 47.47/15.84  % lits                                  229
% 47.47/15.84  % lits eq                               74
% 47.47/15.84  % fd_pure                               0
% 47.47/15.84  % fd_pseudo                             0
% 47.47/15.84  % fd_cond                               1
% 47.47/15.84  % fd_pseudo_cond                        5
% 47.47/15.84  % AC symbols                            0
% 47.47/15.84  
% 47.47/15.84  % ------ Input Options Time Limit: Unbounded
% 47.47/15.84  
% 47.47/15.84  
% 47.47/15.84  % ------ 
% 47.47/15.84  % Current options:
% 47.47/15.84  % ------ 
% 47.47/15.84  
% 47.47/15.84  
% 47.47/15.84  % 
% 47.47/15.84  
% 47.47/15.84  % ------ Proving...
% 47.47/15.84  % 
% 47.47/15.84  
% 47.47/15.84  % SZS status Theorem for theBenchmark.p
% 47.47/15.84  
% 47.47/15.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.47/15.84  
% 47.47/15.84  
%------------------------------------------------------------------------------