iProver---3.9.4.THM-CRf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG055+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 02:38:21 PM UTC 2026

% Result   : Theorem 165.34s 23.98s
% Output   : CNFRefutation 171.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   14
% Syntax   : Number of formulae    : 9162 (6491 unt;   0 def)
%            Number of atoms       : 12554 (8770 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives : 6771 (3379   ~;3373   |;  17   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   : 2898 (   0 sgn2898   !;   0   ?;2872   :)

% 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(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/sandbox2/benchmark/theBenchmark.p',mArith) ).

fof(f44,axiom,
    ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
    & aScalar0(xA) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).

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

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

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

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

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

fof(f57,conjecture,
    sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f58,negated_conjecture,
    sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
    inference(negated_conjecture,[status(cth)],[f57]) ).

fof(f64,plain,
    sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
    inference(flattening,[],[f58]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f73]) ).

fof(f77,plain,
    ! [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)) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f78,plain,
    ! [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)) ) ),
    inference(flattening,[],[f77]) ).

fof(f131,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f185,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f44]) ).

fof(f187,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f192,plain,
    xE = sdtasasdt0(xp,xq),
    inference(cnf_transformation,[],[f48]) ).

fof(f193,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f198,plain,
    xH = sdtasdt0(xA,xB),
    inference(cnf_transformation,[],[f51]) ).

fof(f199,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f202,plain,
    xP = sdtasdt0(xE,xH),
    inference(cnf_transformation,[],[f53]) ).

fof(f203,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f208,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f56]) ).

fof(f209,plain,
    sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_56,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_109,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_111,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_117,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_118,plain,
    sdtasasdt0(xp,xq) = xE,
    inference(cnf_transformation,[],[f192]) ).

tcf(c_123,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_124,plain,
    sdtasdt0(xA,xB) = xH,
    inference(cnf_transformation,[],[f198]) ).

tcf(c_127,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_128,plain,
    sdtasdt0(xE,xH) = xP,
    inference(cnf_transformation,[],[f202]) ).

tcf(c_133,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_134,negated_conjecture,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_1102,negated_conjecture,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
    inference(subtyping,[status(esa)],[c_134]) ).

tcf(c_1103,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(subtyping,[status(esa)],[c_133]) ).

tcf(c_1108,plain,
    sdtasdt0(xE,xH) = xP,
    inference(subtyping,[status(esa)],[c_128]) ).

tcf(c_1109,plain,
    aScalar0(xP),
    inference(subtyping,[status(esa)],[c_127]) ).

tcf(c_1112,plain,
    sdtasdt0(xA,xB) = xH,
    inference(subtyping,[status(esa)],[c_124]) ).

tcf(c_1113,plain,
    aScalar0(xH),
    inference(subtyping,[status(esa)],[c_123]) ).

tcf(c_1118,plain,
    sdtasasdt0(xp,xq) = xE,
    inference(subtyping,[status(esa)],[c_118]) ).

tcf(c_1119,plain,
    aScalar0(xE),
    inference(subtyping,[status(esa)],[c_117]) ).

tcf(c_1164,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_71]) ).

tcf(c_1165,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(X1_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_70]) ).

tcf(c_1166,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtpldt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) = sdtpldt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(subtyping,[status(esa)],[c_69]) ).

tcf(c_1176,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_1185,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ~ iPr_def_10
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1166]) ).

tcf(c_1188,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ~ iPr_def_12
      | ( sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1164]) ).

tcf(c_1189,plain,
    ( iPr_def_12
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1164]) ).

tcf(c_1193,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] : X0_iProver_sdtasdt0_2 = X0_iProver_sdtasdt0_2,
    theory(equality) ).

tcf(c_1196,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( X2_iProver_sdtasdt0_2 = X0_iProver_sdtasdt0_2 )
      | ( X2_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    theory(equality) ).

tcf(c_1199,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    theory(equality) ).

tcf(c_1201,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] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2) )
      | ( X2_iProver_sdtasdt0_2 != X3_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    theory(equality) ).

tcf(c_1248,plain,
    ( ~ iPr_def_10
    | ~ aScalar0(sz0z00) ),
    inference(instantiation,[status(thm)],[c_1185]) ).

tcf(c_1258,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ( sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2) ) ),
    inference(global_subsumption_just,[status(thm)],[c_1188,c_56,c_1248,c_1188,c_1189]) ).

tcf(c_1259,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(renaming,[status(thm)],[c_1258]) ).

tcf(c_2304,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_1165]) ).

tcf(c_2305,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_1165]) ).

tcf(c_2306,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_1165]) ).

tcf(c_2307,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] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2),X3_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(X2_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) ),
    inference(superposition,[status(thm)],[c_1176,c_1165]) ).

tcf(c_2312,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2304]) ).

tcf(c_2313,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2304]) ).

tcf(c_2314,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2304]) ).

tcf(c_2315,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),X2_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2304]) ).

tcf(c_2320,plain,
    sdtasdt0(sdtasdt0(xE,xE),xE) = sdtasdt0(xE,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_1119,c_2312]) ).

tcf(c_2321,plain,
    sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(xE,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_1113,c_2312]) ).

tcf(c_2322,plain,
    sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(xE,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1109,c_2312]) ).

tcf(c_2323,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2312]) ).

tcf(c_2327,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2320,c_1176]) ).

tcf(c_2329,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2321,c_1176]) ).

tcf(c_2332,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2322,c_1176]) ).

tcf(c_2340,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,xE) = sdtasdt0(xE,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_1259]) ).

tcf(c_2341,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,xH) = sdtasdt0(xH,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_1259]) ).

tcf(c_2342,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(X0_iProver_sdtasdt0_2,xP) = sdtasdt0(xP,X0_iProver_sdtasdt0_2) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_1259]) ).

tcf(c_2343,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2) = sdtasdt0(X2_iProver_sdtasdt0_2,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_1259]) ).

tcf(c_2348,plain,
    sdtasdt0(xE,xH) = sdtasdt0(xH,xE),
    inference(superposition,[status(thm)],[c_1113,c_2340]) ).

tcf(c_2349,plain,
    sdtasdt0(xE,xP) = sdtasdt0(xP,xE),
    inference(superposition,[status(thm)],[c_1109,c_2340]) ).

tcf(c_2350,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2340]) ).

tcf(c_2353,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( xP = X0_iProver_sdtasdt0_2 )
      | ( xP != X1_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(instantiation,[status(thm)],[c_1196]) ).

tcf(c_2361,plain,
    ( aScalar0(sdtasdt0(xE,xH))
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(superposition,[status(thm)],[c_2348,c_1176]) ).

tcf(c_2367,plain,
    xP = xP,
    inference(instantiation,[status(thm)],[c_1193]) ).

tcf(c_2370,plain,
    ( aScalar0(sdtasdt0(xE,xP))
    | ~ aScalar0(xP)
    | ~ aScalar0(xE) ),
    inference(superposition,[status(thm)],[c_2349,c_1176]) ).

tcf(c_2371,plain,
    aScalar0(sdtasdt0(xE,xH)),
    inference(global_subsumption_just,[status(thm)],[c_2361,c_123,c_117,c_2361]) ).

tcf(c_2374,plain,
    sdtasdt0(sdtasdt0(xE,xH),xE) = sdtasdt0(xE,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2371,c_2340]) ).

tcf(c_2375,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,xH)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_1259]) ).

tcf(c_2376,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_2312]) ).

tcf(c_2377,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2304]) ).

tcf(c_2378,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_1165]) ).

tcf(c_2400,plain,
    aScalar0(sdtasdt0(xE,xP)),
    inference(global_subsumption_just,[status(thm)],[c_2370,c_127,c_117,c_2370]) ).

tcf(c_2402,plain,
    sdtasdt0(sdtasdt0(xE,xP),xE) = sdtasdt0(xE,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2400,c_2340]) ).

tcf(c_2403,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,xP)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_1259]) ).

tcf(c_2404,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_2312]) ).

tcf(c_2405,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2304]) ).

tcf(c_2406,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_1165]) ).

tcf(c_2413,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( xP = X0_iProver_sdtasdt0_2 )
      | ( xP != xP )
      | ( X0_iProver_sdtasdt0_2 != xP ) ),
    inference(instantiation,[status(thm)],[c_2353]) ).

tcf(c_2419,plain,
    ( ( xP = sdtasdt0(xE,xH) )
    | ( xP != xP )
    | ( sdtasdt0(xE,xH) != xP ) ),
    inference(instantiation,[status(thm)],[c_2413]) ).

tcf(c_2444,plain,
    sdtasdt0(xH,xP) = sdtasdt0(xP,xH),
    inference(superposition,[status(thm)],[c_1109,c_2341]) ).

tcf(c_2445,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2341]) ).

tcf(c_2446,plain,
    sdtasdt0(sdtasdt0(xE,xH),xH) = sdtasdt0(xH,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2371,c_2341]) ).

tcf(c_2447,plain,
    sdtasdt0(sdtasdt0(xE,xP),xH) = sdtasdt0(xH,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2400,c_2341]) ).

tcf(c_2455,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( xP = X0_iProver_sdtasdt0_2 )
      | ( xP != sdtasdt0(xE,xH) )
      | ( X0_iProver_sdtasdt0_2 != sdtasdt0(xE,xH) ) ),
    inference(instantiation,[status(thm)],[c_2353]) ).

tcf(c_2459,plain,
    ( aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(xP)
    | ~ aScalar0(xH) ),
    inference(superposition,[status(thm)],[c_2444,c_1176]) ).

tcf(c_2460,plain,
    aScalar0(sdtasdt0(xH,xP)),
    inference(global_subsumption_just,[status(thm)],[c_2459,c_127,c_123,c_2459]) ).

tcf(c_2462,plain,
    sdtasdt0(sdtasdt0(xH,xP),xH) = sdtasdt0(xH,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_2460,c_2341]) ).

tcf(c_2463,plain,
    sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(xE,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_2460,c_2340]) ).

tcf(c_2464,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,xP)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_1259]) ).

tcf(c_2465,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_2312]) ).

tcf(c_2466,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2304]) ).

tcf(c_2467,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_1165]) ).

tcf(c_2487,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2342]) ).

tcf(c_2488,plain,
    sdtasdt0(sdtasdt0(xE,xH),xP) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2371,c_2342]) ).

tcf(c_2489,plain,
    sdtasdt0(sdtasdt0(xE,xP),xP) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2400,c_2342]) ).

tcf(c_2490,plain,
    sdtasdt0(sdtasdt0(xH,xP),xP) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_2460,c_2342]) ).

tcf(c_2530,plain,
    ( aScalar0(sdtasdt0(xA,xB))
    | ~ aScalar0(xH) ),
    inference(resolution,[status(thm)],[c_1199,c_1112]) ).

tcf(c_2533,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xE)))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(global_subsumption_just,[status(thm)],[c_2327,c_117,c_2327]) ).

tcf(c_2535,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2342]) ).

tcf(c_2536,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2341]) ).

tcf(c_2537,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2340]) ).

tcf(c_2538,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_1259]) ).

tcf(c_2539,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2312]) ).

tcf(c_2540,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2304]) ).

tcf(c_2541,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_1165]) ).

tcf(c_2553,plain,
    ( ( xP = sdtasdt0(xH,xE) )
    | ( xP != sdtasdt0(xE,xH) )
    | ( sdtasdt0(xH,xE) != sdtasdt0(xE,xH) ) ),
    inference(instantiation,[status(thm)],[c_2455]) ).

tcf(c_2554,plain,
    ( ( sdtasdt0(xH,xE) = sdtasdt0(xE,xH) )
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(instantiation,[status(thm)],[c_1259]) ).

tcf(c_2563,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(global_subsumption_just,[status(thm)],[c_2329,c_123,c_2329]) ).

tcf(c_2566,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_2342]) ).

tcf(c_2567,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_2341]) ).

tcf(c_2568,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_2340]) ).

tcf(c_2569,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_1259]) ).

tcf(c_2570,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_2312]) ).

tcf(c_2571,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_2304]) ).

tcf(c_2572,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2563,c_1165]) ).

tcf(c_2594,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(xE,xH) = X0_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != xP ) ),
    inference(resolution,[status(thm)],[c_1196,c_1108]) ).

tcf(c_2596,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(xA,xB) = X0_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != xH ) ),
    inference(resolution,[status(thm)],[c_1196,c_1112]) ).

tcf(c_2600,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( X1_iProver_sdtasdt0_2 = X0_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(resolution,[status(thm)],[c_1196,c_1193]) ).

tcf(c_2613,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP)))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(global_subsumption_just,[status(thm)],[c_2332,c_127,c_2332]) ).

tcf(c_2615,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_2342]) ).

tcf(c_2616,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_2341]) ).

tcf(c_2617,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_2340]) ).

tcf(c_2618,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_1259]) ).

tcf(c_2619,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_2312]) ).

tcf(c_2620,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_2304]) ).

tcf(c_2621,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2613,c_1165]) ).

tcf(c_2636,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_2374,c_1176]) ).

tcf(c_2639,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_2402,c_1176]) ).

tcf(c_2647,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] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2))
      | ~ aScalar0(sdtasdt0(X1_iProver_sdtasdt0_2,X3_iProver_sdtasdt0_2))
      | ( X2_iProver_sdtasdt0_2 != X3_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(resolution,[status(thm)],[c_1201,c_1199]) ).

tcf(c_2657,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_2446,c_1176]) ).

tcf(c_2658,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,xP)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_2447,c_1176]) ).

tcf(c_2659,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,xP)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_2462,c_1176]) ).

tcf(c_2660,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,xP)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_2463,c_1176]) ).

tcf(c_2667,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,xH)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_2488,c_1176]) ).

tcf(c_2668,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_2489,c_1176]) ).

tcf(c_2669,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_2490,c_1176]) ).

tcf(c_2670,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(global_subsumption_just,[status(thm)],[c_2636,c_123,c_117,c_2361,c_2636]) ).

tcf(c_2673,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2342]) ).

tcf(c_2674,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2341]) ).

tcf(c_2675,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2340]) ).

tcf(c_2676,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_1259]) ).

tcf(c_2677,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_2312]) ).

tcf(c_2678,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2304]) ).

tcf(c_2679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_1165]) ).

tcf(c_2695,plain,
    xP = sdtasdt0(xE,xH),
    inference(resolution,[status(thm)],[c_2600,c_1108]) ).

tcf(c_2696,plain,
    xH = sdtasdt0(xA,xB),
    inference(resolution,[status(thm)],[c_2600,c_1112]) ).

tcf(c_2704,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2639,c_127,c_117,c_2370,c_2639]) ).

tcf(c_2706,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2342]) ).

tcf(c_2707,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2341]) ).

tcf(c_2708,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2340]) ).

tcf(c_2709,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_1259]) ).

tcf(c_2710,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_2312]) ).

tcf(c_2711,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2304]) ).

tcf(c_2712,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_1165]) ).

tcf(c_2727,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(global_subsumption_just,[status(thm)],[c_2657,c_123,c_117,c_2361,c_2657]) ).

tcf(c_2730,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2342]) ).

tcf(c_2731,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2341]) ).

tcf(c_2732,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2340]) ).

tcf(c_2733,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_1259]) ).

tcf(c_2734,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_2312]) ).

tcf(c_2735,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2304]) ).

tcf(c_2736,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_1165]) ).

tcf(c_2759,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] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2))
      | ~ aScalar0(X3_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ( X2_iProver_sdtasdt0_2 != X3_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(resolution,[status(thm)],[c_2647,c_1176]) ).

tcf(c_2762,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2658,c_127,c_123,c_117,c_2370,c_2658]) ).

tcf(c_2764,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2342]) ).

tcf(c_2765,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2341]) ).

tcf(c_2766,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2340]) ).

tcf(c_2767,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_1259]) ).

tcf(c_2768,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_2312]) ).

tcf(c_2769,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2304]) ).

tcf(c_2770,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_1165]) ).

tcf(c_2819,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2659,c_127,c_123,c_2459,c_2659]) ).

tcf(c_2821,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2342]) ).

tcf(c_2822,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2341]) ).

tcf(c_2823,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2340]) ).

tcf(c_2824,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_1259]) ).

tcf(c_2825,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_2312]) ).

tcf(c_2826,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2304]) ).

tcf(c_2827,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_1165]) ).

tcf(c_2848,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2660,c_127,c_123,c_117,c_2459,c_2660]) ).

tcf(c_2850,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2342]) ).

tcf(c_2851,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2341]) ).

tcf(c_2852,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2340]) ).

tcf(c_2853,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_1259]) ).

tcf(c_2854,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_2312]) ).

tcf(c_2855,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2304]) ).

tcf(c_2856,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_1165]) ).

tcf(c_2872,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( xP = X0_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != sdtasdt0(xE,xH) ) ),
    inference(resolution,[status(thm)],[c_2695,c_1196]) ).

tcf(c_2885,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(global_subsumption_just,[status(thm)],[c_2667,c_127,c_123,c_117,c_2361,c_2667]) ).

tcf(c_2887,plain,
    aScalar0(sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_2885]) ).

tcf(c_2888,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2342]) ).

tcf(c_2889,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2341]) ).

tcf(c_2890,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2340]) ).

tcf(c_2891,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_1259]) ).

tcf(c_2892,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_2312]) ).

tcf(c_2893,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2304]) ).

tcf(c_2894,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_1165]) ).

tcf(c_2902,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( xH = X0_iProver_sdtasdt0_2 )
      | ( X0_iProver_sdtasdt0_2 != sdtasdt0(xA,xB) ) ),
    inference(resolution,[status(thm)],[c_2696,c_1196]) ).

tcf(c_2926,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( X0_iProver_sdtasdt0_2 = sdtasdt0(xE,xH) )
      | ( X0_iProver_sdtasdt0_2 != xP ) ),
    inference(resolution,[status(thm)],[c_2594,c_2600]) ).

tcf(c_2936,plain,
    sdtasdt0(sdtasdt0(xP,xP),xP) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_2887,c_2342]) ).

tcf(c_2937,plain,
    sdtasdt0(sdtasdt0(xP,xP),xH) = sdtasdt0(xH,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_2887,c_2341]) ).

tcf(c_2938,plain,
    sdtasdt0(sdtasdt0(xP,xP),xE) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_2887,c_2340]) ).

tcf(c_2939,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,xP)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_1259]) ).

tcf(c_2940,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_2312]) ).

tcf(c_2941,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2304]) ).

tcf(c_2942,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_1165]) ).

tcf(c_2958,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(superposition,[status(thm)],[c_2936,c_1176]) ).

tcf(c_2964,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( X0_iProver_sdtasdt0_2 = sdtasdt0(xA,xB) )
      | ( X0_iProver_sdtasdt0_2 != xH ) ),
    inference(resolution,[status(thm)],[c_2596,c_2600]) ).

tcf(c_2967,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,xP)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(superposition,[status(thm)],[c_2937,c_1176]) ).

tcf(c_2968,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,xP)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(superposition,[status(thm)],[c_2938,c_1176]) ).

tcf(c_2980,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2668,c_127,c_117,c_2370,c_2668]) ).

tcf(c_2982,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2342]) ).

tcf(c_2983,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2341]) ).

tcf(c_2984,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2340]) ).

tcf(c_2985,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_1259]) ).

tcf(c_2986,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_2312]) ).

tcf(c_2987,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2304]) ).

tcf(c_2988,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_1165]) ).

tcf(c_2992,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2669,c_127,c_123,c_2459,c_2669]) ).

tcf(c_2994,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2342]) ).

tcf(c_2995,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2341]) ).

tcf(c_2996,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2340]) ).

tcf(c_2997,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_1259]) ).

tcf(c_2998,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_2312]) ).

tcf(c_2999,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2304]) ).

tcf(c_3000,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_1165]) ).

tcf(c_3045,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2958,c_127,c_2887,c_2958]) ).

tcf(c_3047,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2342]) ).

tcf(c_3048,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2341]) ).

tcf(c_3049,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2340]) ).

tcf(c_3050,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_1259]) ).

tcf(c_3051,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_2312]) ).

tcf(c_3052,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2304]) ).

tcf(c_3053,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_1165]) ).

tcf(c_3070,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2967,c_123,c_2887,c_2967]) ).

tcf(c_3072,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2342]) ).

tcf(c_3073,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2341]) ).

tcf(c_3074,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2340]) ).

tcf(c_3075,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_1259]) ).

tcf(c_3076,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_2312]) ).

tcf(c_3077,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2304]) ).

tcf(c_3078,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_1165]) ).

tcf(c_3131,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_2968,c_117,c_2887,c_2968]) ).

tcf(c_3133,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2342]) ).

tcf(c_3134,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2341]) ).

tcf(c_3135,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2340]) ).

tcf(c_3136,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_1259]) ).

tcf(c_3137,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_2312]) ).

tcf(c_3138,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2304]) ).

tcf(c_3139,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_1165]) ).

tcf(c_3162,plain,
    sdtasdt0(sdtasdt0(xE,xH),xE) = sdtasdt0(xE,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_1119,c_2313]) ).

tcf(c_3163,plain,
    sdtasdt0(sdtasdt0(xE,xH),xH) = sdtasdt0(xE,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_1113,c_2313]) ).

tcf(c_3164,plain,
    sdtasdt0(sdtasdt0(xE,xH),xP) = sdtasdt0(xE,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1109,c_2313]) ).

tcf(c_3165,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2313]) ).

tcf(c_3166,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2313]) ).

tcf(c_3167,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_2313]) ).

tcf(c_3169,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_2313]) ).

tcf(c_3171,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_2313]) ).

tcf(c_3172,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_2313]) ).

tcf(c_3173,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_2313]) ).

tcf(c_3174,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_2313]) ).

tcf(c_3175,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_2313]) ).

tcf(c_3176,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_2313]) ).

tcf(c_3177,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_2313]) ).

tcf(c_3178,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_2313]) ).

tcf(c_3179,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_2313]) ).

tcf(c_3180,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_2313]) ).

tcf(c_3181,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_2313]) ).

tcf(c_3182,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_2313]) ).

tcf(c_3183,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_2313]) ).

tcf(c_3184,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_2313]) ).

tcf(c_3255,plain,
    sdtasdt0(xE,sdtasdt0(xH,xE)) = sdtasdt0(xP,xE),
    inference(superposition,[status(thm)],[c_1108,c_3162]) ).

tcf(c_3256,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3162,c_1176]) ).

tcf(c_3257,plain,
    sdtasdt0(xE,sdtasdt0(xE,xH)) = sdtasdt0(xE,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_3162,c_2374]) ).

tcf(c_3269,plain,
    sdtasdt0(xE,sdtasdt0(xE,xH)) = sdtasdt0(xP,xE),
    inference(superposition,[status(thm)],[c_2348,c_3255]) ).

tcf(c_3270,plain,
    ( aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_3255,c_1176]) ).

tcf(c_3275,plain,
    sdtasdt0(xE,sdtasdt0(xH,xH)) = sdtasdt0(xP,xH),
    inference(superposition,[status(thm)],[c_1108,c_3163]) ).

tcf(c_3276,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3163,c_1176]) ).

tcf(c_3277,plain,
    sdtasdt0(xE,sdtasdt0(xH,xH)) = sdtasdt0(xH,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_3163,c_2446]) ).

tcf(c_3302,plain,
    ( aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_3275,c_1176]) ).

tcf(c_3304,plain,
    sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xP,xP),
    inference(superposition,[status(thm)],[c_1108,c_3164]) ).

tcf(c_3306,plain,
    sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_3164,c_2488]) ).

tcf(c_3311,plain,
    aScalar0(sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3269,c_2670]) ).

tcf(c_3314,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_2313]) ).

tcf(c_3315,plain,
    sdtasdt0(sdtasdt0(xP,xE),xP) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3311,c_2342]) ).

tcf(c_3316,plain,
    sdtasdt0(sdtasdt0(xP,xE),xH) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3311,c_2341]) ).

tcf(c_3317,plain,
    sdtasdt0(sdtasdt0(xP,xE),xE) = sdtasdt0(xE,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3311,c_2340]) ).

tcf(c_3318,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,xE)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_1259]) ).

tcf(c_3319,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_2312]) ).

tcf(c_3320,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2304]) ).

tcf(c_3321,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_1165]) ).

tcf(c_3357,plain,
    sdtasdt0(xE,sdtasdt0(xH,xH)) = sdtasdt0(xH,xP),
    inference(superposition,[status(thm)],[c_1108,c_3277]) ).

tcf(c_3359,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3277,c_2727]) ).

tcf(c_3360,plain,
    aScalar0(sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_3275,c_3359]) ).

tcf(c_3361,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_2313]) ).

tcf(c_3362,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2342]) ).

tcf(c_3363,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2341]) ).

tcf(c_3364,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2340]) ).

tcf(c_3365,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_1259]) ).

tcf(c_3366,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_2312]) ).

tcf(c_3367,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2304]) ).

tcf(c_3368,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_1165]) ).

tcf(c_3406,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_2313]) ).

tcf(c_3407,plain,
    sdtasdt0(sdtasdt0(xP,xH),xP) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_3360,c_2342]) ).

tcf(c_3408,plain,
    sdtasdt0(sdtasdt0(xP,xH),xH) = sdtasdt0(xH,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_3360,c_2341]) ).

tcf(c_3409,plain,
    sdtasdt0(sdtasdt0(xP,xH),xE) = sdtasdt0(xE,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_3360,c_2340]) ).

tcf(c_3410,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,xH)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_1259]) ).

tcf(c_3411,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_2312]) ).

tcf(c_3412,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2304]) ).

tcf(c_3413,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_1165]) ).

tcf(c_3469,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,xE)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_3315,c_1176]) ).

tcf(c_3471,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,xE)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_3316,c_1176]) ).

tcf(c_3478,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(global_subsumption_just,[status(thm)],[c_3256,c_123,c_117,c_2361,c_3256]) ).

tcf(c_3483,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_2313]) ).

tcf(c_3484,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2342]) ).

tcf(c_3485,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2341]) ).

tcf(c_3486,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2340]) ).

tcf(c_3487,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_1259]) ).

tcf(c_3488,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_2312]) ).

tcf(c_3489,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2304]) ).

tcf(c_3490,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_1165]) ).

tcf(c_3528,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_3469,c_127,c_3311,c_3469]) ).

tcf(c_3531,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_2313]) ).

tcf(c_3532,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2342]) ).

tcf(c_3533,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2341]) ).

tcf(c_3534,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2340]) ).

tcf(c_3535,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_1259]) ).

tcf(c_3536,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_2312]) ).

tcf(c_3537,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2304]) ).

tcf(c_3538,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_1165]) ).

tcf(c_3580,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_3471,c_123,c_3311,c_3471]) ).

tcf(c_3583,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_2313]) ).

tcf(c_3584,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2342]) ).

tcf(c_3585,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2341]) ).

tcf(c_3586,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2340]) ).

tcf(c_3587,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_1259]) ).

tcf(c_3588,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_2312]) ).

tcf(c_3589,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2304]) ).

tcf(c_3590,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_1165]) ).

tcf(c_3619,plain,
    ( aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(xH) ),
    inference(instantiation,[status(thm)],[c_1176]) ).

tcf(c_3621,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_3317,c_1176]) ).

tcf(c_3623,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,xH)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_3407,c_1176]) ).

tcf(c_3628,plain,
    ( aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(xE) ),
    inference(instantiation,[status(thm)],[c_1176]) ).

tcf(c_3630,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_3408,c_1176]) ).

tcf(c_3632,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,xH)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_3409,c_1176]) ).

tcf(c_3638,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_3621,c_117,c_3311,c_3621]) ).

tcf(c_3641,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_2313]) ).

tcf(c_3642,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2342]) ).

tcf(c_3643,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2341]) ).

tcf(c_3644,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2340]) ).

tcf(c_3645,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_1259]) ).

tcf(c_3646,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_2312]) ).

tcf(c_3647,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2304]) ).

tcf(c_3648,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_1165]) ).

tcf(c_3701,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_3623,c_127,c_3360,c_3623]) ).

tcf(c_3704,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_2313]) ).

tcf(c_3705,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2342]) ).

tcf(c_3706,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2341]) ).

tcf(c_3707,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2340]) ).

tcf(c_3708,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_1259]) ).

tcf(c_3709,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_2312]) ).

tcf(c_3710,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2304]) ).

tcf(c_3711,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_1165]) ).

tcf(c_3727,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_3630,c_123,c_3360,c_3630]) ).

tcf(c_3730,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_2313]) ).

tcf(c_3731,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2342]) ).

tcf(c_3732,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2341]) ).

tcf(c_3733,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2340]) ).

tcf(c_3734,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_1259]) ).

tcf(c_3735,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_2312]) ).

tcf(c_3736,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2304]) ).

tcf(c_3737,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_1165]) ).

tcf(c_3772,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_3632,c_117,c_3360,c_3632]) ).

tcf(c_3775,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_2313]) ).

tcf(c_3776,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2342]) ).

tcf(c_3777,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2341]) ).

tcf(c_3778,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2340]) ).

tcf(c_3779,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_1259]) ).

tcf(c_3780,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_2312]) ).

tcf(c_3781,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2304]) ).

tcf(c_3782,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_1165]) ).

tcf(c_3823,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xH))
      | ( X0_iProver_sdtasdt0_2 != xP ) ),
    inference(resolution,[status(thm)],[c_2926,c_1199]) ).

tcf(c_3831,plain,
    sdtasdt0(sdtasdt0(xE,xP),xE) = sdtasdt0(xE,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_1119,c_2314]) ).

tcf(c_3832,plain,
    sdtasdt0(sdtasdt0(xE,xP),xH) = sdtasdt0(xE,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_1113,c_2314]) ).

tcf(c_3833,plain,
    sdtasdt0(sdtasdt0(xE,xP),xP) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1109,c_2314]) ).

tcf(c_3834,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2314]) ).

tcf(c_3835,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2314]) ).

tcf(c_3836,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_2314]) ).

tcf(c_3838,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_2314]) ).

tcf(c_3840,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_2314]) ).

tcf(c_3841,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_2314]) ).

tcf(c_3842,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_2314]) ).

tcf(c_3843,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_2314]) ).

tcf(c_3844,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_2314]) ).

tcf(c_3845,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_2314]) ).

tcf(c_3846,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_2314]) ).

tcf(c_3847,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_2314]) ).

tcf(c_3848,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_2314]) ).

tcf(c_3849,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_2314]) ).

tcf(c_3850,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_2314]) ).

tcf(c_3851,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_2314]) ).

tcf(c_3852,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_2314]) ).

tcf(c_3853,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_2314]) ).

tcf(c_3854,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_2314]) ).

tcf(c_3855,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_2314]) ).

tcf(c_3856,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_2314]) ).

tcf(c_3857,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_2314]) ).

tcf(c_3858,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_2314]) ).

tcf(c_3859,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_2314]) ).

tcf(c_3860,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_2314]) ).

tcf(c_3861,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_2314]) ).

tcf(c_3862,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_2314]) ).

tcf(c_3863,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_2314]) ).

tcf(c_3975,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xA,xB))
      | ( X0_iProver_sdtasdt0_2 != xH ) ),
    inference(resolution,[status(thm)],[c_2964,c_1199]) ).

tcf(c_4004,plain,
    sdtasdt0(xE,sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3831,c_2402]) ).

tcf(c_4049,plain,
    sdtasdt0(xE,sdtasdt0(xP,xH)) = sdtasdt0(xH,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_3832,c_2447]) ).

tcf(c_4052,plain,
    sdtasdt0(xE,sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_3833,c_2489]) ).

tcf(c_4053,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xE),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2305]) ).

tcf(c_4054,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xH),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2305]) ).

tcf(c_4055,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2305]) ).

tcf(c_4056,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),X2_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2305]) ).

tcf(c_4057,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2305]) ).

tcf(c_4058,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2305]) ).

tcf(c_4060,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2305]) ).

tcf(c_4062,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2305]) ).

tcf(c_4063,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2305]) ).

tcf(c_4064,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2305]) ).

tcf(c_4065,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2305]) ).

tcf(c_4066,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2305]) ).

tcf(c_4067,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2305]) ).

tcf(c_4068,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2305]) ).

tcf(c_4069,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2305]) ).

tcf(c_4070,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2305]) ).

tcf(c_4071,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2305]) ).

tcf(c_4072,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2305]) ).

tcf(c_4073,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2305]) ).

tcf(c_4074,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2305]) ).

tcf(c_4075,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2305]) ).

tcf(c_4076,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2305]) ).

tcf(c_4077,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2305]) ).

tcf(c_4078,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2305]) ).

tcf(c_4079,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2305]) ).

tcf(c_4080,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2305]) ).

tcf(c_4081,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2305]) ).

tcf(c_4082,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2305]) ).

tcf(c_4083,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2305]) ).

tcf(c_4084,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2305]) ).

tcf(c_4085,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2305]) ).

tcf(c_4185,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(X0_iProver_sdtasdt0_2)
      | ( X0_iProver_sdtasdt0_2 != xP ) ),
    inference(global_subsumption_just,[status(thm)],[c_3823,c_123,c_117,c_2361,c_3823]) ).

tcf(c_4201,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(X0_iProver_sdtasdt0_2)
      | ( X0_iProver_sdtasdt0_2 != xH ) ),
    inference(global_subsumption_just,[status(thm)],[c_3975,c_123,c_2530,c_3975]) ).

tcf(c_4309,plain,
    sdtasdt0(sdtasdt0(xH,xE),xE) = sdtasdt0(xH,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_1119,c_4053]) ).

tcf(c_4310,plain,
    sdtasdt0(sdtasdt0(xH,xE),xH) = sdtasdt0(xH,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_1113,c_4053]) ).

tcf(c_4311,plain,
    sdtasdt0(sdtasdt0(xH,xE),xP) = sdtasdt0(xH,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1109,c_4053]) ).

tcf(c_4312,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_4053]) ).

tcf(c_4313,plain,
    ( ( sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_4053]) ).

tcf(c_4314,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_4053]) ).

tcf(c_4316,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_4053]) ).

tcf(c_4318,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_4053]) ).

tcf(c_4319,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_4053]) ).

tcf(c_4320,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_4053]) ).

tcf(c_4321,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_4053]) ).

tcf(c_4322,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_4053]) ).

tcf(c_4323,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_4053]) ).

tcf(c_4324,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_4053]) ).

tcf(c_4325,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_4053]) ).

tcf(c_4326,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_4053]) ).

tcf(c_4327,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_4053]) ).

tcf(c_4328,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_4053]) ).

tcf(c_4329,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_4053]) ).

tcf(c_4330,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_4053]) ).

tcf(c_4331,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_4053]) ).

tcf(c_4332,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_4053]) ).

tcf(c_4333,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_4053]) ).

tcf(c_4334,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_4053]) ).

tcf(c_4335,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_4053]) ).

tcf(c_4336,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_4053]) ).

tcf(c_4337,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_4053]) ).

tcf(c_4338,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_4053]) ).

tcf(c_4339,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_4053]) ).

tcf(c_4340,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_4053]) ).

tcf(c_4341,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_4053]) ).

tcf(c_4371,plain,
    ( aScalar0(sdtasdt0(xH,xE))
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(instantiation,[status(thm)],[c_1176]) ).

tcf(c_4421,plain,
    sdtasdt0(sdtasdt0(xE,xH),xE) = sdtasdt0(xH,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_2348,c_4309]) ).

tcf(c_4422,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_4309,c_1176]) ).

tcf(c_4447,plain,
    sdtasdt0(sdtasdt0(xE,xH),xP) = sdtasdt0(xH,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2348,c_4311]) ).

tcf(c_4451,plain,
    sdtasdt0(xH,sdtasdt0(xE,xE)) = sdtasdt0(xP,xE),
    inference(superposition,[status(thm)],[c_1108,c_4421]) ).

tcf(c_4452,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_4421,c_1176]) ).

tcf(c_4453,plain,
    sdtasdt0(xE,sdtasdt0(xH,xE)) = sdtasdt0(xH,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_4421,c_3162]) ).

tcf(c_4454,plain,
    sdtasdt0(xE,sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_4421,c_2374]) ).

tcf(c_4470,plain,
    sdtasdt0(xH,sdtasdt0(xE,xP)) = sdtasdt0(xP,xP),
    inference(superposition,[status(thm)],[c_1108,c_4447]) ).

tcf(c_4472,plain,
    sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_4447,c_3164]) ).

tcf(c_4473,plain,
    sdtasdt0(xH,sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_4447,c_2488]) ).

tcf(c_4476,plain,
    sdtasdt0(xE,sdtasdt0(xP,xH)) = sdtasdt0(xP,xP),
    inference(superposition,[status(thm)],[c_4470,c_4049]) ).

tcf(c_4493,plain,
    sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xE,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_4472,c_4049]) ).

tcf(c_4495,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(global_subsumption_just,[status(thm)],[c_4422,c_123,c_117,c_4371,c_4422]) ).

tcf(c_4500,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_4053]) ).

tcf(c_4501,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2305]) ).

tcf(c_4502,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_2314]) ).

tcf(c_4503,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_2313]) ).

tcf(c_4504,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2342]) ).

tcf(c_4505,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2341]) ).

tcf(c_4506,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2340]) ).

tcf(c_4507,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_1259]) ).

tcf(c_4508,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_2312]) ).

tcf(c_4509,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2304]) ).

tcf(c_4510,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_1165]) ).

tcf(c_4562,plain,
    sdtasdt0(sdtasdt0(xH,xH),xE) = sdtasdt0(xH,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_1119,c_4054]) ).

tcf(c_4563,plain,
    sdtasdt0(sdtasdt0(xH,xH),xH) = sdtasdt0(xH,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_1113,c_4054]) ).

tcf(c_4564,plain,
    sdtasdt0(sdtasdt0(xH,xH),xP) = sdtasdt0(xH,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1109,c_4054]) ).

tcf(c_4565,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_4054]) ).

tcf(c_4566,plain,
    ( ( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_4054]) ).

tcf(c_4567,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_4054]) ).

tcf(c_4569,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_4054]) ).

tcf(c_4571,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_4054]) ).

tcf(c_4572,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_4054]) ).

tcf(c_4573,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_4054]) ).

tcf(c_4574,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_4054]) ).

tcf(c_4575,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_4054]) ).

tcf(c_4576,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_4054]) ).

tcf(c_4577,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_4054]) ).

tcf(c_4578,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_4054]) ).

tcf(c_4579,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_4054]) ).

tcf(c_4580,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_4054]) ).

tcf(c_4581,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_4054]) ).

tcf(c_4582,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_4054]) ).

tcf(c_4583,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_4054]) ).

tcf(c_4584,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_4054]) ).

tcf(c_4585,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_4054]) ).

tcf(c_4586,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_4054]) ).

tcf(c_4587,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_4054]) ).

tcf(c_4588,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_4054]) ).

tcf(c_4589,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_4054]) ).

tcf(c_4590,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_4054]) ).

tcf(c_4591,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_4054]) ).

tcf(c_4592,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_4054]) ).

tcf(c_4593,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_4054]) ).

tcf(c_4594,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_4054]) ).

tcf(c_4595,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_4054]) ).

tcf(c_4689,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_4562,c_1176]) ).

tcf(c_4708,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_4563,c_1176]) ).

tcf(c_4710,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(global_subsumption_just,[status(thm)],[c_4689,c_123,c_117,c_3619,c_4689]) ).

tcf(c_4713,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_4054]) ).

tcf(c_4714,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_4053]) ).

tcf(c_4715,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2305]) ).

tcf(c_4716,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_2314]) ).

tcf(c_4717,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_2313]) ).

tcf(c_4718,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2342]) ).

tcf(c_4719,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2341]) ).

tcf(c_4720,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2340]) ).

tcf(c_4721,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_1259]) ).

tcf(c_4722,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_2312]) ).

tcf(c_4723,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2304]) ).

tcf(c_4724,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_1165]) ).

tcf(c_4753,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(global_subsumption_just,[status(thm)],[c_4708,c_123,c_3619,c_4708]) ).

tcf(c_4755,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_4054]) ).

tcf(c_4756,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_4053]) ).

tcf(c_4757,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2305]) ).

tcf(c_4758,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_2314]) ).

tcf(c_4759,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_2313]) ).

tcf(c_4760,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2342]) ).

tcf(c_4761,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2341]) ).

tcf(c_4762,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2340]) ).

tcf(c_4763,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_1259]) ).

tcf(c_4764,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_2312]) ).

tcf(c_4765,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2304]) ).

tcf(c_4766,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_1165]) ).

tcf(c_4821,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2375]) ).

tcf(c_4822,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2375]) ).

tcf(c_4823,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2375]) ).

tcf(c_4825,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2375]) ).

tcf(c_4828,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2400,c_2375]) ).

tcf(c_4829,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2460,c_2375]) ).

tcf(c_4830,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2375]) ).

tcf(c_4831,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2375]) ).

tcf(c_4832,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2375]) ).

tcf(c_4833,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2375]) ).

tcf(c_4834,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2375]) ).

tcf(c_4835,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2375]) ).

tcf(c_4836,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2375]) ).

tcf(c_4837,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2887,c_2375]) ).

tcf(c_4838,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2375]) ).

tcf(c_4839,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2375]) ).

tcf(c_4840,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2375]) ).

tcf(c_4841,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2375]) ).

tcf(c_4842,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_3311,c_2375]) ).

tcf(c_4843,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2375]) ).

tcf(c_4844,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_3360,c_2375]) ).

tcf(c_4845,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2375]) ).

tcf(c_4846,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2375]) ).

tcf(c_4847,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2375]) ).

tcf(c_4848,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2375]) ).

tcf(c_4849,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2375]) ).

tcf(c_4850,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2375]) ).

tcf(c_4851,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2375]) ).

tcf(c_4852,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2375]) ).

tcf(c_4853,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2375]) ).

tcf(c_4891,plain,
    ( ( xP = sdtasdt0(xH,xE) )
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(resolution,[status(thm)],[c_1259,c_2872]) ).

tcf(c_4895,plain,
    ( ( xH = sdtasdt0(xB,xA) )
    | ~ aScalar0(xB)
    | ~ aScalar0(xA) ),
    inference(resolution,[status(thm)],[c_1259,c_2902]) ).

tcf(c_4943,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2403]) ).

tcf(c_4944,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2403]) ).

tcf(c_4945,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2403]) ).

tcf(c_4947,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2403]) ).

tcf(c_4951,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2460,c_2403]) ).

tcf(c_4952,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2403]) ).

tcf(c_4953,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2403]) ).

tcf(c_4954,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2403]) ).

tcf(c_4955,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2403]) ).

tcf(c_4956,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2403]) ).

tcf(c_4957,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2403]) ).

tcf(c_4958,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2403]) ).

tcf(c_4959,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2887,c_2403]) ).

tcf(c_4960,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2403]) ).

tcf(c_4961,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2403]) ).

tcf(c_4962,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2403]) ).

tcf(c_4963,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2403]) ).

tcf(c_4964,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_3311,c_2403]) ).

tcf(c_4965,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2403]) ).

tcf(c_4966,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_3360,c_2403]) ).

tcf(c_4967,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2403]) ).

tcf(c_4968,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2403]) ).

tcf(c_4969,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2403]) ).

tcf(c_4970,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2403]) ).

tcf(c_4971,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2403]) ).

tcf(c_4972,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2403]) ).

tcf(c_4973,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2403]) ).

tcf(c_4974,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2403]) ).

tcf(c_4975,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2403]) ).

tcf(c_5051,plain,
    xP = sdtasdt0(xH,xE),
    inference(global_subsumption_just,[status(thm)],[c_4891,c_123,c_117,c_1108,c_2367,c_2419,c_2553,c_2554]) ).

tcf(c_5058,plain,
    sdtasdt0(xH,xE) = xP,
    inference(resolution,[status(thm)],[c_5051,c_2600]) ).

tcf(c_5061,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,xP))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xH,xE))
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(resolution,[status(thm)],[c_5051,c_2759]) ).

tcf(c_5069,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2464]) ).

tcf(c_5070,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2464]) ).

tcf(c_5071,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2464]) ).

tcf(c_5073,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2464]) ).

tcf(c_5078,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2464]) ).

tcf(c_5079,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2464]) ).

tcf(c_5080,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2464]) ).

tcf(c_5081,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2464]) ).

tcf(c_5082,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2464]) ).

tcf(c_5083,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2464]) ).

tcf(c_5084,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2464]) ).

tcf(c_5085,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_2887,c_2464]) ).

tcf(c_5086,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2464]) ).

tcf(c_5087,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2464]) ).

tcf(c_5088,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2464]) ).

tcf(c_5089,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2464]) ).

tcf(c_5090,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_3311,c_2464]) ).

tcf(c_5091,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2464]) ).

tcf(c_5092,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_3360,c_2464]) ).

tcf(c_5093,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2464]) ).

tcf(c_5094,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2464]) ).

tcf(c_5095,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2464]) ).

tcf(c_5096,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2464]) ).

tcf(c_5097,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2464]) ).

tcf(c_5098,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2464]) ).

tcf(c_5099,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2464]) ).

tcf(c_5100,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2464]) ).

tcf(c_5101,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2464]) ).

tcf(c_5187,plain,
    aScalar0(sdtasdt0(xH,xE)),
    inference(resolution,[status(thm)],[c_5058,c_4185]) ).

tcf(c_5205,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2939]) ).

tcf(c_5206,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2939]) ).

tcf(c_5207,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_2939]) ).

tcf(c_5209,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_2939]) ).

tcf(c_5214,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_2939]) ).

tcf(c_5215,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_2939]) ).

tcf(c_5216,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_2939]) ).

tcf(c_5217,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_2939]) ).

tcf(c_5218,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_2939]) ).

tcf(c_5219,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_2939]) ).

tcf(c_5220,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_2939]) ).

tcf(c_5222,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_2939]) ).

tcf(c_5223,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_2939]) ).

tcf(c_5224,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_2939]) ).

tcf(c_5225,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_2939]) ).

tcf(c_5226,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3311,c_2939]) ).

tcf(c_5227,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_2939]) ).

tcf(c_5228,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_3360,c_2939]) ).

tcf(c_5229,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_2939]) ).

tcf(c_5230,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_2939]) ).

tcf(c_5231,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_2939]) ).

tcf(c_5232,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_2939]) ).

tcf(c_5233,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_2939]) ).

tcf(c_5234,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_2939]) ).

tcf(c_5235,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_2939]) ).

tcf(c_5236,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_2939]) ).

tcf(c_5237,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_2939]) ).

tcf(c_5256,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,xP))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5061,c_5187]) ).

tcf(c_5299,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_3318]) ).

tcf(c_5300,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_3318]) ).

tcf(c_5301,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_3318]) ).

tcf(c_5303,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_3318]) ).

tcf(c_5308,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_3318]) ).

tcf(c_5309,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_3318]) ).

tcf(c_5310,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_3318]) ).

tcf(c_5311,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_3318]) ).

tcf(c_5312,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_3318]) ).

tcf(c_5313,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_3318]) ).

tcf(c_5314,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_3318]) ).

tcf(c_5316,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_3318]) ).

tcf(c_5317,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_3318]) ).

tcf(c_5318,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_3318]) ).

tcf(c_5319,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_3318]) ).

tcf(c_5321,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_3318]) ).

tcf(c_5322,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3360,c_3318]) ).

tcf(c_5323,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_3318]) ).

tcf(c_5324,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_3318]) ).

tcf(c_5325,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_3318]) ).

tcf(c_5326,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_3318]) ).

tcf(c_5327,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_3318]) ).

tcf(c_5328,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_3318]) ).

tcf(c_5329,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_3318]) ).

tcf(c_5330,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_3318]) ).

tcf(c_5331,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_3318]) ).

tcf(c_5409,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_3410]) ).

tcf(c_5410,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_3410]) ).

tcf(c_5411,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_3410]) ).

tcf(c_5413,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_3410]) ).

tcf(c_5418,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_3410]) ).

tcf(c_5419,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_3410]) ).

tcf(c_5420,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_3410]) ).

tcf(c_5421,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_3410]) ).

tcf(c_5422,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_3410]) ).

tcf(c_5423,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_3410]) ).

tcf(c_5424,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_3410]) ).

tcf(c_5426,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_3410]) ).

tcf(c_5427,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_3410]) ).

tcf(c_5428,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_3410]) ).

tcf(c_5429,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_3410]) ).

tcf(c_5431,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_3410]) ).

tcf(c_5433,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_3410]) ).

tcf(c_5434,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_3410]) ).

tcf(c_5435,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_3410]) ).

tcf(c_5436,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_3410]) ).

tcf(c_5437,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_3410]) ).

tcf(c_5438,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_3410]) ).

tcf(c_5439,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_3410]) ).

tcf(c_5440,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_3410]) ).

tcf(c_5441,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_3410]) ).

tcf(c_5500,plain,
    xH = sdtasdt0(xB,xA),
    inference(global_subsumption_just,[status(thm)],[c_4895,c_111,c_109,c_4895]) ).

tcf(c_5511,plain,
    sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_1119,c_4055]) ).

tcf(c_5512,plain,
    sdtasdt0(sdtasdt0(xH,xP),xH) = sdtasdt0(xH,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_1113,c_4055]) ).

tcf(c_5513,plain,
    sdtasdt0(sdtasdt0(xH,xP),xP) = sdtasdt0(xH,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1109,c_4055]) ).

tcf(c_5514,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_4055]) ).

tcf(c_5515,plain,
    ( ( sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_4055]) ).

tcf(c_5516,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_4055]) ).

tcf(c_5518,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_4055]) ).

tcf(c_5520,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_4055]) ).

tcf(c_5521,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_4055]) ).

tcf(c_5522,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_4055]) ).

tcf(c_5523,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_4055]) ).

tcf(c_5524,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_4055]) ).

tcf(c_5525,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_4055]) ).

tcf(c_5526,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_4055]) ).

tcf(c_5527,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_4055]) ).

tcf(c_5528,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_4055]) ).

tcf(c_5529,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_4055]) ).

tcf(c_5530,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_4055]) ).

tcf(c_5531,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_4055]) ).

tcf(c_5532,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_4055]) ).

tcf(c_5533,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_4055]) ).

tcf(c_5534,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_4055]) ).

tcf(c_5535,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_4055]) ).

tcf(c_5536,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_4055]) ).

tcf(c_5537,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_4055]) ).

tcf(c_5538,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_4055]) ).

tcf(c_5539,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_4055]) ).

tcf(c_5540,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_4055]) ).

tcf(c_5541,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_4055]) ).

tcf(c_5542,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_4055]) ).

tcf(c_5543,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_4055]) ).

tcf(c_5544,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_4055]) ).

tcf(c_5545,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_4055]) ).

tcf(c_5546,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_4055]) ).

tcf(c_5586,plain,
    sdtasdt0(xB,xA) = xH,
    inference(resolution,[status(thm)],[c_5500,c_2600]) ).

tcf(c_5589,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,xH))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xB,xA))
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(resolution,[status(thm)],[c_5500,c_2759]) ).

tcf(c_5674,plain,
    aScalar0(sdtasdt0(xB,xA)),
    inference(resolution,[status(thm)],[c_5586,c_4201]) ).

tcf(c_5679,plain,
    sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_5511,c_2463]) ).

tcf(c_5682,plain,
    sdtasdt0(xH,sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_5512,c_2462]) ).

tcf(c_5685,plain,
    sdtasdt0(xH,sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_5513,c_2490]) ).

tcf(c_5694,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))
    | ~ aScalar0(sdtasdt0(xE,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2376,c_1176]) ).

tcf(c_5695,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))
    | ~ aScalar0(sdtasdt0(xE,xP))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2404,c_1176]) ).

tcf(c_5696,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2465,c_1176]) ).

tcf(c_5699,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2673,c_1176]) ).

tcf(c_5702,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2674,c_1176]) ).

tcf(c_5705,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( aScalar0(sdtasdt0(X0_iProver_sdtasdt0_2,xH))
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ( X0_iProver_sdtasdt0_2 != X1_iProver_sdtasdt0_2 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5589,c_5674]) ).

tcf(c_5710,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2675,c_1176]) ).

tcf(c_5724,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2706,c_1176]) ).

tcf(c_5725,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2707,c_1176]) ).

tcf(c_5741,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2708,c_1176]) ).

tcf(c_5742,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2306]) ).

tcf(c_5743,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2306]) ).

tcf(c_5744,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2306]) ).

tcf(c_5745,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),X2_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2306]) ).

tcf(c_5746,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2306]) ).

tcf(c_5747,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2306]) ).

tcf(c_5749,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2306]) ).

tcf(c_5751,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2306]) ).

tcf(c_5752,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2306]) ).

tcf(c_5753,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2306]) ).

tcf(c_5754,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2306]) ).

tcf(c_5755,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2306]) ).

tcf(c_5756,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2306]) ).

tcf(c_5757,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2306]) ).

tcf(c_5758,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2306]) ).

tcf(c_5759,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2306]) ).

tcf(c_5760,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2306]) ).

tcf(c_5761,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2306]) ).

tcf(c_5762,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2306]) ).

tcf(c_5763,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2306]) ).

tcf(c_5764,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2306]) ).

tcf(c_5765,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2306]) ).

tcf(c_5766,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2306]) ).

tcf(c_5767,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2306]) ).

tcf(c_5768,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2306]) ).

tcf(c_5769,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2306]) ).

tcf(c_5770,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2306]) ).

tcf(c_5771,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2306]) ).

tcf(c_5772,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2306]) ).

tcf(c_5773,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2306]) ).

tcf(c_5774,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2306]) ).

tcf(c_5775,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2306]) ).

tcf(c_5776,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2306]) ).

tcf(c_5777,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2306]) ).

tcf(c_5888,plain,
    sdtasdt0(sdtasdt0(xP,xE),xE) = sdtasdt0(xP,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_1119,c_5742]) ).

tcf(c_5889,plain,
    sdtasdt0(sdtasdt0(xP,xE),xH) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_1113,c_5742]) ).

tcf(c_5890,plain,
    sdtasdt0(sdtasdt0(xP,xE),xP) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1109,c_5742]) ).

tcf(c_5891,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_5742]) ).

tcf(c_5892,plain,
    ( ( sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_5742]) ).

tcf(c_5893,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_5742]) ).

tcf(c_5895,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_5742]) ).

tcf(c_5897,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,xH)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_5742]) ).

tcf(c_5898,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_5742]) ).

tcf(c_5899,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_5742]) ).

tcf(c_5900,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_5742]) ).

tcf(c_5901,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_5742]) ).

tcf(c_5902,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_5742]) ).

tcf(c_5903,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_5742]) ).

tcf(c_5904,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_5742]) ).

tcf(c_5905,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_5742]) ).

tcf(c_5906,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_5742]) ).

tcf(c_5907,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_5742]) ).

tcf(c_5908,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_5742]) ).

tcf(c_5909,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_5742]) ).

tcf(c_5910,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_5742]) ).

tcf(c_5911,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_5742]) ).

tcf(c_5912,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_5742]) ).

tcf(c_5913,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_5742]) ).

tcf(c_5914,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_5742]) ).

tcf(c_5915,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_5742]) ).

tcf(c_5916,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_5742]) ).

tcf(c_5917,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_5742]) ).

tcf(c_5918,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_5742]) ).

tcf(c_5919,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_5742]) ).

tcf(c_5920,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_5742]) ).

tcf(c_5921,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_5742]) ).

tcf(c_5922,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_5742]) ).

tcf(c_5923,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_5742]) ).

tcf(c_6042,plain,
    sdtasdt0(sdtasdt0(xE,xP),xE) = sdtasdt0(xP,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_2349,c_5888]) ).

tcf(c_6043,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_5888,c_1176]) ).

tcf(c_6044,plain,
    sdtasdt0(xE,sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_5888,c_3317]) ).

tcf(c_6054,plain,
    sdtasdt0(sdtasdt0(xE,xP),xH) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2349,c_5889]) ).

tcf(c_6056,plain,
    sdtasdt0(xH,sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_5889,c_3316]) ).

tcf(c_6070,plain,
    sdtasdt0(xP,sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_5890,c_3315]) ).

tcf(c_6073,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_6042,c_1176]) ).

tcf(c_6075,plain,
    sdtasdt0(xE,sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_6042,c_2402]) ).

tcf(c_6086,plain,
    sdtasdt0(xE,sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_6054,c_3832]) ).

tcf(c_6090,plain,
    sdtasdt0(xH,sdtasdt0(xP,xE)) = sdtasdt0(xP,xP),
    inference(superposition,[status(thm)],[c_1108,c_6056]) ).

tcf(c_6092,plain,
    sdtasdt0(xH,sdtasdt0(xE,xP)) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_6056,c_4473]) ).

tcf(c_6122,plain,
    sdtasdt0(xE,sdtasdt0(xP,xH)) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_6086,c_6056]) ).

tcf(c_6147,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(global_subsumption_just,[status(thm)],[c_6043,c_117,c_3311,c_6043]) ).

tcf(c_6151,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_5742]) ).

tcf(c_6152,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2306]) ).

tcf(c_6153,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_4055]) ).

tcf(c_6154,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_3410]) ).

tcf(c_6155,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_3318]) ).

tcf(c_6156,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2939]) ).

tcf(c_6157,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2464]) ).

tcf(c_6158,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2403]) ).

tcf(c_6159,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2375]) ).

tcf(c_6160,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_4054]) ).

tcf(c_6161,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_4053]) ).

tcf(c_6162,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2305]) ).

tcf(c_6163,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_2314]) ).

tcf(c_6164,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_2313]) ).

tcf(c_6165,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2342]) ).

tcf(c_6166,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2341]) ).

tcf(c_6167,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_2340]) ).

tcf(c_6168,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_1259]) ).

tcf(c_6169,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_2312]) ).

tcf(c_6170,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2304]) ).

tcf(c_6171,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_1165]) ).

tcf(c_6207,plain,
    sdtasdt0(sdtasdt0(xP,xH),xE) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_1119,c_5743]) ).

tcf(c_6208,plain,
    sdtasdt0(sdtasdt0(xP,xH),xH) = sdtasdt0(xP,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_1113,c_5743]) ).

tcf(c_6209,plain,
    sdtasdt0(sdtasdt0(xP,xH),xP) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1109,c_5743]) ).

tcf(c_6210,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_5743]) ).

tcf(c_6211,plain,
    ( ( sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_5743]) ).

tcf(c_6212,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_5743]) ).

tcf(c_6214,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_5743]) ).

tcf(c_6216,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_5743]) ).

tcf(c_6217,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_5743]) ).

tcf(c_6218,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_5743]) ).

tcf(c_6219,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_5743]) ).

tcf(c_6220,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_5743]) ).

tcf(c_6221,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_5743]) ).

tcf(c_6222,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_5743]) ).

tcf(c_6223,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_5743]) ).

tcf(c_6224,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_5743]) ).

tcf(c_6225,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_5743]) ).

tcf(c_6226,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_5743]) ).

tcf(c_6227,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_5743]) ).

tcf(c_6228,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_5743]) ).

tcf(c_6229,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_5743]) ).

tcf(c_6230,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_5743]) ).

tcf(c_6231,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_5743]) ).

tcf(c_6232,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_5743]) ).

tcf(c_6233,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_5743]) ).

tcf(c_6234,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_5743]) ).

tcf(c_6235,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_5743]) ).

tcf(c_6236,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_5743]) ).

tcf(c_6237,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_5743]) ).

tcf(c_6238,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_5743]) ).

tcf(c_6239,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_5743]) ).

tcf(c_6240,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_5743]) ).

tcf(c_6241,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_5743]) ).

tcf(c_6242,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_5743]) ).

tcf(c_6243,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_5743]) ).

tcf(c_6315,plain,
    sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_2444,c_6207]) ).

tcf(c_6316,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_6207,c_1176]) ).

tcf(c_6317,plain,
    sdtasdt0(xE,sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_6207,c_3409]) ).

tcf(c_6319,plain,
    sdtasdt0(sdtasdt0(xH,xP),xH) = sdtasdt0(xP,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_2444,c_6208]) ).

tcf(c_6320,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_6208,c_1176]) ).

tcf(c_6321,plain,
    sdtasdt0(xH,sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_6208,c_3408]) ).

tcf(c_6338,plain,
    sdtasdt0(xP,sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_6209,c_3407]) ).

tcf(c_6341,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_6315,c_1176]) ).

tcf(c_6342,plain,
    sdtasdt0(xH,sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_6315,c_5511]) ).

tcf(c_6343,plain,
    sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_6315,c_2463]) ).

tcf(c_6348,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_6319,c_1176]) ).

tcf(c_6350,plain,
    sdtasdt0(xH,sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_6319,c_2462]) ).

tcf(c_6380,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(global_subsumption_just,[status(thm)],[c_6316,c_117,c_3360,c_6316]) ).

tcf(c_6386,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_5743]) ).

tcf(c_6387,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_5742]) ).

tcf(c_6388,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2306]) ).

tcf(c_6389,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_4055]) ).

tcf(c_6390,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_3410]) ).

tcf(c_6391,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_3318]) ).

tcf(c_6392,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2939]) ).

tcf(c_6393,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2464]) ).

tcf(c_6394,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2403]) ).

tcf(c_6395,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2375]) ).

tcf(c_6396,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_4054]) ).

tcf(c_6397,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_4053]) ).

tcf(c_6398,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2305]) ).

tcf(c_6399,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_2314]) ).

tcf(c_6400,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_2313]) ).

tcf(c_6401,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2342]) ).

tcf(c_6402,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2341]) ).

tcf(c_6403,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_2340]) ).

tcf(c_6404,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_1259]) ).

tcf(c_6405,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_2312]) ).

tcf(c_6406,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2304]) ).

tcf(c_6407,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_1165]) ).

tcf(c_6503,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(global_subsumption_just,[status(thm)],[c_6320,c_123,c_3360,c_6320]) ).

tcf(c_6507,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_5743]) ).

tcf(c_6508,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_5742]) ).

tcf(c_6509,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2306]) ).

tcf(c_6510,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_4055]) ).

tcf(c_6511,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_3410]) ).

tcf(c_6512,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_3318]) ).

tcf(c_6513,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2939]) ).

tcf(c_6514,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2464]) ).

tcf(c_6515,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2403]) ).

tcf(c_6516,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2375]) ).

tcf(c_6517,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_4054]) ).

tcf(c_6518,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_4053]) ).

tcf(c_6519,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2305]) ).

tcf(c_6520,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_2314]) ).

tcf(c_6521,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_2313]) ).

tcf(c_6522,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2342]) ).

tcf(c_6523,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2341]) ).

tcf(c_6524,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_2340]) ).

tcf(c_6525,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_1259]) ).

tcf(c_6526,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_2312]) ).

tcf(c_6527,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2304]) ).

tcf(c_6528,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_1165]) ).

tcf(c_6601,plain,
    sdtasdt0(sdtasdt0(xP,xP),xE) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_1119,c_5744]) ).

tcf(c_6602,plain,
    sdtasdt0(sdtasdt0(xP,xP),xH) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_1113,c_5744]) ).

tcf(c_6604,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_5744]) ).

tcf(c_6605,plain,
    ( ( sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_5744]) ).

tcf(c_6606,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_5744]) ).

tcf(c_6608,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_5744]) ).

tcf(c_6610,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,xH)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_5744]) ).

tcf(c_6611,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_5744]) ).

tcf(c_6612,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_5744]) ).

tcf(c_6613,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_5744]) ).

tcf(c_6614,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_5744]) ).

tcf(c_6615,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_5744]) ).

tcf(c_6616,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_5744]) ).

tcf(c_6617,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_5744]) ).

tcf(c_6618,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_5744]) ).

tcf(c_6619,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_5744]) ).

tcf(c_6620,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_5744]) ).

tcf(c_6621,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_5744]) ).

tcf(c_6622,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_5744]) ).

tcf(c_6623,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_5744]) ).

tcf(c_6624,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_5744]) ).

tcf(c_6625,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_5744]) ).

tcf(c_6626,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_5744]) ).

tcf(c_6627,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_5744]) ).

tcf(c_6628,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_5744]) ).

tcf(c_6629,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_5744]) ).

tcf(c_6630,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_5744]) ).

tcf(c_6631,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_5744]) ).

tcf(c_6632,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_5744]) ).

tcf(c_6633,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_5744]) ).

tcf(c_6634,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_5744]) ).

tcf(c_6635,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_5744]) ).

tcf(c_6636,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_5744]) ).

tcf(c_6637,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_5744]) ).

tcf(c_6638,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_5744]) ).

tcf(c_6639,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_5744]) ).

tcf(c_6751,plain,
    sdtasdt0(xE,sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_6601,c_2938]) ).

tcf(c_6837,plain,
    sdtasdt0(xH,sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_6602,c_2937]) ).

tcf(c_6850,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2730,c_1176]) ).

tcf(c_6853,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2731,c_1176]) ).

tcf(c_6856,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2732,c_1176]) ).

tcf(c_6860,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2764,c_1176]) ).

tcf(c_6869,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2765,c_1176]) ).

tcf(c_6873,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2766,c_1176]) ).

tcf(c_6909,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2821,c_1176]) ).

tcf(c_6910,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2822,c_1176]) ).

tcf(c_6911,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2823,c_1176]) ).

tcf(c_6913,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2850,c_1176]) ).

tcf(c_6920,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2350]) ).

tcf(c_6921,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2350]) ).

tcf(c_6922,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2350]) ).

tcf(c_6923,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2350]) ).

tcf(c_6924,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2350]) ).

tcf(c_6925,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2350]) ).

tcf(c_6927,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2350]) ).

tcf(c_6929,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2350]) ).

tcf(c_6930,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2350]) ).

tcf(c_6931,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2350]) ).

tcf(c_6932,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2350]) ).

tcf(c_6933,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2350]) ).

tcf(c_6934,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2350]) ).

tcf(c_6935,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2350]) ).

tcf(c_6936,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2350]) ).

tcf(c_6937,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2350]) ).

tcf(c_6938,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2350]) ).

tcf(c_6939,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2350]) ).

tcf(c_6940,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2350]) ).

tcf(c_6941,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2350]) ).

tcf(c_6942,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2350]) ).

tcf(c_6943,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2350]) ).

tcf(c_6944,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2350]) ).

tcf(c_6945,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2350]) ).

tcf(c_6946,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2350]) ).

tcf(c_6947,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2350]) ).

tcf(c_6948,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2350]) ).

tcf(c_6949,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2350]) ).

tcf(c_6950,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2350]) ).

tcf(c_6951,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2350]) ).

tcf(c_6952,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2350]) ).

tcf(c_6953,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2350]) ).

tcf(c_6954,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2350]) ).

tcf(c_6955,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2350]) ).

tcf(c_6956,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2350]) ).

tcf(c_6957,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2350]) ).

tcf(c_6958,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2350]) ).

tcf(c_7127,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_6920]) ).

tcf(c_7128,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_6920]) ).

tcf(c_7129,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_6920]) ).

tcf(c_7131,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_6920]) ).

tcf(c_7136,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_6920]) ).

tcf(c_7137,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_6920]) ).

tcf(c_7138,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_6920]) ).

tcf(c_7139,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_6920]) ).

tcf(c_7140,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_6920]) ).

tcf(c_7141,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_6920]) ).

tcf(c_7142,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_6920]) ).

tcf(c_7144,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_6920]) ).

tcf(c_7145,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_6920]) ).

tcf(c_7146,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_6920]) ).

tcf(c_7147,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_6920]) ).

tcf(c_7149,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_6920]) ).

tcf(c_7151,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_6920]) ).

tcf(c_7152,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_6920]) ).

tcf(c_7153,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_6920]) ).

tcf(c_7154,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_6920]) ).

tcf(c_7155,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_6920]) ).

tcf(c_7156,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_6920]) ).

tcf(c_7157,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_6920]) ).

tcf(c_7158,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_6920]) ).

tcf(c_7159,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_6920]) ).

tcf(c_7160,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_6920]) ).

tcf(c_7161,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_6920]) ).

tcf(c_7162,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_6920]) ).

tcf(c_7226,plain,
    sdtasdt0(sdtasdt0(xH,xE),xE) = sdtasdt0(xE,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_1119,c_6921]) ).

tcf(c_7227,plain,
    sdtasdt0(sdtasdt0(xH,xH),xE) = sdtasdt0(xE,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_1113,c_6921]) ).

tcf(c_7229,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_6921]) ).

tcf(c_7230,plain,
    ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_6921]) ).

tcf(c_7231,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_6921]) ).

tcf(c_7233,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_6921]) ).

tcf(c_7238,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_6921]) ).

tcf(c_7239,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_6921]) ).

tcf(c_7240,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_6921]) ).

tcf(c_7241,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_6921]) ).

tcf(c_7242,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_6921]) ).

tcf(c_7243,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_6921]) ).

tcf(c_7244,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_6921]) ).

tcf(c_7246,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_6921]) ).

tcf(c_7247,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_6921]) ).

tcf(c_7248,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_6921]) ).

tcf(c_7249,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_6921]) ).

tcf(c_7251,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_6921]) ).

tcf(c_7253,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_6921]) ).

tcf(c_7254,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_6921]) ).

tcf(c_7255,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_6921]) ).

tcf(c_7256,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_6921]) ).

tcf(c_7257,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_6921]) ).

tcf(c_7258,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_6921]) ).

tcf(c_7259,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_6921]) ).

tcf(c_7260,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_6921]) ).

tcf(c_7261,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_6921]) ).

tcf(c_7262,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_6921]) ).

tcf(c_7263,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_6921]) ).

tcf(c_7264,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_6921]) ).

tcf(c_7364,plain,
    sdtasdt0(xE,sdtasdt0(xH,xH)) = sdtasdt0(xH,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_7227,c_4562]) ).

tcf(c_7394,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_6922]) ).

tcf(c_7395,plain,
    ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_6922]) ).

tcf(c_7396,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_6922]) ).

tcf(c_7398,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_6922]) ).

tcf(c_7403,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_6922]) ).

tcf(c_7404,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_6922]) ).

tcf(c_7405,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_6922]) ).

tcf(c_7406,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_6922]) ).

tcf(c_7407,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_6922]) ).

tcf(c_7408,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_6922]) ).

tcf(c_7409,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_6922]) ).

tcf(c_7411,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_6922]) ).

tcf(c_7412,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_6922]) ).

tcf(c_7413,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_6922]) ).

tcf(c_7414,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_6922]) ).

tcf(c_7416,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_6922]) ).

tcf(c_7418,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_6922]) ).

tcf(c_7419,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_6922]) ).

tcf(c_7420,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_6922]) ).

tcf(c_7421,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_6922]) ).

tcf(c_7422,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_6922]) ).

tcf(c_7423,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_6922]) ).

tcf(c_7424,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_6922]) ).

tcf(c_7425,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_6922]) ).

tcf(c_7426,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_6922]) ).

tcf(c_7427,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_6922]) ).

tcf(c_7428,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_6922]) ).

tcf(c_7429,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_6922]) ).

tcf(c_7475,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2851,c_1176]) ).

tcf(c_7477,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2852,c_1176]) ).

tcf(c_7483,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2888,c_1176]) ).

tcf(c_7489,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2889,c_1176]) ).

tcf(c_7495,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_2890,c_1176]) ).

tcf(c_7496,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2940,c_1176]) ).

tcf(c_7521,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2982,c_1176]) ).

tcf(c_7523,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2983,c_1176]) ).

tcf(c_7525,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xP))) ),
    inference(superposition,[status(thm)],[c_2984,c_1176]) ).

tcf(c_7526,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2445]) ).

tcf(c_7527,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2445]) ).

tcf(c_7528,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2445]) ).

tcf(c_7529,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2445]) ).

tcf(c_7530,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2445]) ).

tcf(c_7531,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2445]) ).

tcf(c_7533,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2445]) ).

tcf(c_7535,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2445]) ).

tcf(c_7536,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2445]) ).

tcf(c_7537,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2445]) ).

tcf(c_7538,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2445]) ).

tcf(c_7539,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2445]) ).

tcf(c_7540,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2445]) ).

tcf(c_7541,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2445]) ).

tcf(c_7542,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2445]) ).

tcf(c_7543,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2445]) ).

tcf(c_7544,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2445]) ).

tcf(c_7545,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2445]) ).

tcf(c_7546,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2445]) ).

tcf(c_7547,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2445]) ).

tcf(c_7548,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2445]) ).

tcf(c_7549,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2445]) ).

tcf(c_7550,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2445]) ).

tcf(c_7551,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2445]) ).

tcf(c_7552,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2445]) ).

tcf(c_7553,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2445]) ).

tcf(c_7554,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2445]) ).

tcf(c_7555,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2445]) ).

tcf(c_7556,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2445]) ).

tcf(c_7557,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2445]) ).

tcf(c_7558,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2445]) ).

tcf(c_7559,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2445]) ).

tcf(c_7560,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2445]) ).

tcf(c_7561,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2445]) ).

tcf(c_7562,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2445]) ).

tcf(c_7563,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2445]) ).

tcf(c_7564,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2445]) ).

tcf(c_7692,plain,
    sdtasdt0(sdtasdt0(xE,xE),xH) = sdtasdt0(xH,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_1119,c_7526]) ).

tcf(c_7695,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_7526]) ).

tcf(c_7696,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_7526]) ).

tcf(c_7697,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_7526]) ).

tcf(c_7699,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_7526]) ).

tcf(c_7704,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_7526]) ).

tcf(c_7705,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_7526]) ).

tcf(c_7706,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_7526]) ).

tcf(c_7707,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_7526]) ).

tcf(c_7708,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_7526]) ).

tcf(c_7709,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_7526]) ).

tcf(c_7710,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_7526]) ).

tcf(c_7712,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_7526]) ).

tcf(c_7713,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_7526]) ).

tcf(c_7714,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_7526]) ).

tcf(c_7715,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_7526]) ).

tcf(c_7717,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_7526]) ).

tcf(c_7719,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_7526]) ).

tcf(c_7720,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_7526]) ).

tcf(c_7721,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_7526]) ).

tcf(c_7722,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_7526]) ).

tcf(c_7723,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_7526]) ).

tcf(c_7724,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_7526]) ).

tcf(c_7725,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_7526]) ).

tcf(c_7726,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_7526]) ).

tcf(c_7727,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_7526]) ).

tcf(c_7728,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_7526]) ).

tcf(c_7729,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_7526]) ).

tcf(c_7730,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_7526]) ).

tcf(c_7801,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),xP))
    | ~ aScalar0(xP) ),
    inference(resolution,[status(thm)],[c_5256,c_1108]) ).

tcf(c_7853,plain,
    sdtasdt0(sdtasdt0(xH,xE),xH) = sdtasdt0(xH,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_1119,c_7527]) ).

tcf(c_7856,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_7527]) ).

tcf(c_7857,plain,
    ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_7527]) ).

tcf(c_7858,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_7527]) ).

tcf(c_7860,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_7527]) ).

tcf(c_7865,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_7527]) ).

tcf(c_7866,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_7527]) ).

tcf(c_7867,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_7527]) ).

tcf(c_7868,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_7527]) ).

tcf(c_7869,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_7527]) ).

tcf(c_7870,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_7527]) ).

tcf(c_7871,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_7527]) ).

tcf(c_7873,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_7527]) ).

tcf(c_7874,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_7527]) ).

tcf(c_7875,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_7527]) ).

tcf(c_7876,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_7527]) ).

tcf(c_7878,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_7527]) ).

tcf(c_7880,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_7527]) ).

tcf(c_7881,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_7527]) ).

tcf(c_7882,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_7527]) ).

tcf(c_7883,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_7527]) ).

tcf(c_7884,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_7527]) ).

tcf(c_7885,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_7527]) ).

tcf(c_7886,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_7527]) ).

tcf(c_7887,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_7527]) ).

tcf(c_7888,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_7527]) ).

tcf(c_7889,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_7527]) ).

tcf(c_7890,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_7527]) ).

tcf(c_7891,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_7527]) ).

tcf(c_7959,plain,
    sdtasdt0(xH,sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_7853,c_4310]) ).

tcf(c_7967,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_7528]) ).

tcf(c_7968,plain,
    ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_7528]) ).

tcf(c_7969,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_7528]) ).

tcf(c_7971,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_7528]) ).

tcf(c_7976,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_7528]) ).

tcf(c_7977,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_7528]) ).

tcf(c_7978,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_7528]) ).

tcf(c_7979,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_7528]) ).

tcf(c_7980,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_7528]) ).

tcf(c_7981,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_7528]) ).

tcf(c_7982,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_7528]) ).

tcf(c_7984,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_7528]) ).

tcf(c_7985,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_7528]) ).

tcf(c_7986,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_7528]) ).

tcf(c_7987,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_7528]) ).

tcf(c_7989,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_7528]) ).

tcf(c_7991,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_7528]) ).

tcf(c_7992,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_7528]) ).

tcf(c_7993,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_7528]) ).

tcf(c_7994,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_7528]) ).

tcf(c_7995,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_7528]) ).

tcf(c_7996,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_7528]) ).

tcf(c_7997,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_7528]) ).

tcf(c_7998,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_7528]) ).

tcf(c_7999,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_7528]) ).

tcf(c_8000,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_7528]) ).

tcf(c_8001,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_7528]) ).

tcf(c_8002,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_7528]) ).

tcf(c_8163,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2994,c_1176]) ).

tcf(c_8165,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2995,c_1176]) ).

tcf(c_8167,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xP))) ),
    inference(superposition,[status(thm)],[c_2996,c_1176]) ).

tcf(c_8171,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3047,c_1176]) ).

tcf(c_8191,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3048,c_1176]) ).

tcf(c_8192,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3049,c_1176]) ).

tcf(c_8193,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3072,c_1176]) ).

tcf(c_8194,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3073,c_1176]) ).

tcf(c_8195,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3074,c_1176]) ).

tcf(c_8196,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2487]) ).

tcf(c_8197,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2487]) ).

tcf(c_8198,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2487]) ).

tcf(c_8199,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2487]) ).

tcf(c_8200,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2487]) ).

tcf(c_8201,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2487]) ).

tcf(c_8203,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2487]) ).

tcf(c_8205,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2487]) ).

tcf(c_8206,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2487]) ).

tcf(c_8207,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2487]) ).

tcf(c_8208,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2487]) ).

tcf(c_8209,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2487]) ).

tcf(c_8210,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2487]) ).

tcf(c_8211,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2487]) ).

tcf(c_8212,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2487]) ).

tcf(c_8213,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2487]) ).

tcf(c_8214,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2487]) ).

tcf(c_8215,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2487]) ).

tcf(c_8216,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2487]) ).

tcf(c_8217,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2487]) ).

tcf(c_8218,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2487]) ).

tcf(c_8219,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2487]) ).

tcf(c_8220,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2487]) ).

tcf(c_8221,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2487]) ).

tcf(c_8222,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2487]) ).

tcf(c_8223,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2487]) ).

tcf(c_8224,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2487]) ).

tcf(c_8225,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2487]) ).

tcf(c_8226,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2487]) ).

tcf(c_8227,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2487]) ).

tcf(c_8228,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2487]) ).

tcf(c_8229,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2487]) ).

tcf(c_8230,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2487]) ).

tcf(c_8231,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2487]) ).

tcf(c_8232,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2487]) ).

tcf(c_8233,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2487]) ).

tcf(c_8234,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2487]) ).

tcf(c_8318,plain,
    sdtasdt0(sdtasdt0(xE,xE),xP) = sdtasdt0(xP,sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_1119,c_8196]) ).

tcf(c_8321,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_8196]) ).

tcf(c_8322,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_8196]) ).

tcf(c_8323,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_8196]) ).

tcf(c_8325,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_8196]) ).

tcf(c_8330,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_8196]) ).

tcf(c_8331,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_8196]) ).

tcf(c_8332,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_8196]) ).

tcf(c_8333,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_8196]) ).

tcf(c_8334,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_8196]) ).

tcf(c_8335,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_8196]) ).

tcf(c_8336,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_8196]) ).

tcf(c_8338,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_8196]) ).

tcf(c_8339,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_8196]) ).

tcf(c_8340,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_8196]) ).

tcf(c_8341,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_8196]) ).

tcf(c_8343,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_8196]) ).

tcf(c_8345,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_8196]) ).

tcf(c_8346,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_8196]) ).

tcf(c_8347,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_8196]) ).

tcf(c_8348,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_8196]) ).

tcf(c_8349,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_8196]) ).

tcf(c_8350,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_8196]) ).

tcf(c_8351,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_8196]) ).

tcf(c_8352,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_8196]) ).

tcf(c_8353,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_8196]) ).

tcf(c_8354,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_8196]) ).

tcf(c_8355,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_8196]) ).

tcf(c_8356,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_8196]) ).

tcf(c_8506,plain,
    sdtasdt0(sdtasdt0(xH,xE),xP) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_1119,c_8197]) ).

tcf(c_8507,plain,
    sdtasdt0(sdtasdt0(xH,xH),xP) = sdtasdt0(xP,sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_1113,c_8197]) ).

tcf(c_8509,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_8197]) ).

tcf(c_8510,plain,
    ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_8197]) ).

tcf(c_8511,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_8197]) ).

tcf(c_8513,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_8197]) ).

tcf(c_8518,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_8197]) ).

tcf(c_8519,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_8197]) ).

tcf(c_8520,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_8197]) ).

tcf(c_8521,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_8197]) ).

tcf(c_8522,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_8197]) ).

tcf(c_8523,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_8197]) ).

tcf(c_8524,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_8197]) ).

tcf(c_8526,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_8197]) ).

tcf(c_8527,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_8197]) ).

tcf(c_8528,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_8197]) ).

tcf(c_8529,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_8197]) ).

tcf(c_8531,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_8197]) ).

tcf(c_8533,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_8197]) ).

tcf(c_8534,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_8197]) ).

tcf(c_8535,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_8197]) ).

tcf(c_8536,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_8197]) ).

tcf(c_8537,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_8197]) ).

tcf(c_8538,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_8197]) ).

tcf(c_8539,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_8197]) ).

tcf(c_8540,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_8197]) ).

tcf(c_8541,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_8197]) ).

tcf(c_8542,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_8197]) ).

tcf(c_8543,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_8197]) ).

tcf(c_8544,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_8197]) ).

tcf(c_8610,plain,
    sdtasdt0(xH,sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_8506,c_4311]) ).

tcf(c_8626,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_8198]) ).

tcf(c_8627,plain,
    ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_8198]) ).

tcf(c_8628,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_8198]) ).

tcf(c_8630,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_8198]) ).

tcf(c_8635,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_8198]) ).

tcf(c_8636,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_8198]) ).

tcf(c_8637,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_8198]) ).

tcf(c_8638,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_8198]) ).

tcf(c_8639,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_8198]) ).

tcf(c_8640,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_8198]) ).

tcf(c_8641,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_8198]) ).

tcf(c_8643,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_8198]) ).

tcf(c_8644,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_8198]) ).

tcf(c_8645,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_8198]) ).

tcf(c_8646,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_8198]) ).

tcf(c_8648,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_8198]) ).

tcf(c_8650,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_8198]) ).

tcf(c_8651,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_8198]) ).

tcf(c_8652,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_8198]) ).

tcf(c_8653,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_8198]) ).

tcf(c_8654,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_8198]) ).

tcf(c_8655,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_8198]) ).

tcf(c_8656,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_8198]) ).

tcf(c_8657,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_8198]) ).

tcf(c_8658,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_8198]) ).

tcf(c_8659,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_8198]) ).

tcf(c_8660,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_8198]) ).

tcf(c_8661,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_8198]) ).

tcf(c_8696,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3133,c_1176]) ).

tcf(c_8697,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3134,c_1176]) ).

tcf(c_8701,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xP,xP))) ),
    inference(superposition,[status(thm)],[c_3135,c_1176]) ).

tcf(c_8704,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3171,c_1176]) ).

tcf(c_8711,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_8704,c_123,c_117,c_2361,c_2657,c_6856]) ).

tcf(c_8713,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3277,c_8711]) ).

tcf(c_8715,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_8198]) ).

tcf(c_8716,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_8197]) ).

tcf(c_8717,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_8196]) ).

tcf(c_8718,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2487]) ).

tcf(c_8719,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_7528]) ).

tcf(c_8720,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_7527]) ).

tcf(c_8721,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_7526]) ).

tcf(c_8722,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2445]) ).

tcf(c_8723,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_6922]) ).

tcf(c_8724,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_6921]) ).

tcf(c_8725,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_6920]) ).

tcf(c_8726,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2350]) ).

tcf(c_8727,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_5744]) ).

tcf(c_8728,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_5743]) ).

tcf(c_8729,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_5742]) ).

tcf(c_8730,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2306]) ).

tcf(c_8731,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_4055]) ).

tcf(c_8732,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_3410]) ).

tcf(c_8733,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_3318]) ).

tcf(c_8734,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_2939]) ).

tcf(c_8735,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_2464]) ).

tcf(c_8736,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_2403]) ).

tcf(c_8737,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_2375]) ).

tcf(c_8738,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_4054]) ).

tcf(c_8739,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_4053]) ).

tcf(c_8740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2305]) ).

tcf(c_8741,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_2314]) ).

tcf(c_8742,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_2313]) ).

tcf(c_8746,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_1259]) ).

tcf(c_8747,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_2312]) ).

tcf(c_8748,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2304]) ).

tcf(c_8749,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_1165]) ).

tcf(c_8923,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_8198]) ).

tcf(c_8924,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_8197]) ).

tcf(c_8925,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_8196]) ).

tcf(c_8926,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2487]) ).

tcf(c_8927,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_7528]) ).

tcf(c_8928,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_7527]) ).

tcf(c_8929,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_7526]) ).

tcf(c_8930,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2445]) ).

tcf(c_8931,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_6922]) ).

tcf(c_8932,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_6921]) ).

tcf(c_8933,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_6920]) ).

tcf(c_8934,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2350]) ).

tcf(c_8935,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_5744]) ).

tcf(c_8936,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_5743]) ).

tcf(c_8937,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_5742]) ).

tcf(c_8938,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2306]) ).

tcf(c_8939,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_4055]) ).

tcf(c_8940,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_3410]) ).

tcf(c_8941,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_3318]) ).

tcf(c_8942,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_2939]) ).

tcf(c_8943,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_2464]) ).

tcf(c_8944,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_2403]) ).

tcf(c_8945,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_2375]) ).

tcf(c_8946,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_4054]) ).

tcf(c_8947,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_4053]) ).

tcf(c_8948,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2305]) ).

tcf(c_8949,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_2314]) ).

tcf(c_8950,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_2313]) ).

tcf(c_8954,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_1259]) ).

tcf(c_8955,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_2312]) ).

tcf(c_8956,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2304]) ).

tcf(c_8957,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_1165]) ).

tcf(c_9022,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1108,c_3172]) ).

tcf(c_9023,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))
    | ~ aScalar0(sdtasdt0(xE,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3172,c_1176]) ).

tcf(c_9024,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_4472,c_9022]) ).

tcf(c_9026,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_4049,c_9022]) ).

tcf(c_9036,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_5694,c_123,c_117,c_2361,c_3628,c_5694]) ).

tcf(c_9040,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_8198]) ).

tcf(c_9041,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_8197]) ).

tcf(c_9042,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_8196]) ).

tcf(c_9043,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2487]) ).

tcf(c_9044,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_7528]) ).

tcf(c_9045,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_7527]) ).

tcf(c_9046,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_7526]) ).

tcf(c_9047,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2445]) ).

tcf(c_9048,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_6922]) ).

tcf(c_9049,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_6921]) ).

tcf(c_9050,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_6920]) ).

tcf(c_9051,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2350]) ).

tcf(c_9052,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_5744]) ).

tcf(c_9053,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_5743]) ).

tcf(c_9054,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_5742]) ).

tcf(c_9055,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2306]) ).

tcf(c_9056,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_4055]) ).

tcf(c_9057,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_3410]) ).

tcf(c_9058,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_3318]) ).

tcf(c_9059,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_2939]) ).

tcf(c_9060,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_2464]) ).

tcf(c_9061,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_2403]) ).

tcf(c_9062,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_2375]) ).

tcf(c_9063,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_4054]) ).

tcf(c_9064,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_4053]) ).

tcf(c_9065,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2305]) ).

tcf(c_9066,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_2314]) ).

tcf(c_9067,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_2313]) ).

tcf(c_9071,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_1259]) ).

tcf(c_9072,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_2312]) ).

tcf(c_9073,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2304]) ).

tcf(c_9074,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_1165]) ).

tcf(c_9139,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_5695,c_127,c_117,c_2370,c_3628,c_5695]) ).

tcf(c_9141,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_8198]) ).

tcf(c_9142,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_8197]) ).

tcf(c_9143,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_8196]) ).

tcf(c_9144,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2487]) ).

tcf(c_9145,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_7528]) ).

tcf(c_9146,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_7527]) ).

tcf(c_9147,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_7526]) ).

tcf(c_9148,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2445]) ).

tcf(c_9149,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_6922]) ).

tcf(c_9150,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_6921]) ).

tcf(c_9151,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_6920]) ).

tcf(c_9152,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2350]) ).

tcf(c_9153,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_5744]) ).

tcf(c_9154,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_5743]) ).

tcf(c_9155,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_5742]) ).

tcf(c_9156,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2306]) ).

tcf(c_9157,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_4055]) ).

tcf(c_9158,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_3410]) ).

tcf(c_9159,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_3318]) ).

tcf(c_9160,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_2939]) ).

tcf(c_9161,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_2464]) ).

tcf(c_9162,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_2403]) ).

tcf(c_9163,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_2375]) ).

tcf(c_9164,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_4054]) ).

tcf(c_9165,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_4053]) ).

tcf(c_9166,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2305]) ).

tcf(c_9167,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_2314]) ).

tcf(c_9168,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_2313]) ).

tcf(c_9172,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_1259]) ).

tcf(c_9173,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_2312]) ).

tcf(c_9174,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2304]) ).

tcf(c_9175,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_1165]) ).

tcf(c_9223,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_5696,c_127,c_123,c_117,c_2459,c_3628,c_5696]) ).

tcf(c_9226,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_8198]) ).

tcf(c_9227,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_8197]) ).

tcf(c_9228,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_8196]) ).

tcf(c_9229,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2487]) ).

tcf(c_9230,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_7528]) ).

tcf(c_9231,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_7527]) ).

tcf(c_9232,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_7526]) ).

tcf(c_9233,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2445]) ).

tcf(c_9234,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_6922]) ).

tcf(c_9235,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_6921]) ).

tcf(c_9236,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_6920]) ).

tcf(c_9237,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2350]) ).

tcf(c_9238,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_5744]) ).

tcf(c_9239,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_5743]) ).

tcf(c_9240,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_5742]) ).

tcf(c_9241,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2306]) ).

tcf(c_9242,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_4055]) ).

tcf(c_9243,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_3410]) ).

tcf(c_9244,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_3318]) ).

tcf(c_9245,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_2939]) ).

tcf(c_9246,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_2464]) ).

tcf(c_9247,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_2403]) ).

tcf(c_9248,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_2375]) ).

tcf(c_9249,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_4054]) ).

tcf(c_9250,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_4053]) ).

tcf(c_9251,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2305]) ).

tcf(c_9252,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_2314]) ).

tcf(c_9253,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_2313]) ).

tcf(c_9257,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_1259]) ).

tcf(c_9258,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_2312]) ).

tcf(c_9259,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2304]) ).

tcf(c_9260,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_1165]) ).

tcf(c_9371,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),xH))
    | ~ aScalar0(xP) ),
    inference(resolution,[status(thm)],[c_5705,c_1108]) ).

tcf(c_9418,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_5699,c_127,c_123,c_117,c_2361,c_2636,c_5699]) ).

tcf(c_9422,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_8198]) ).

tcf(c_9423,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_8197]) ).

tcf(c_9424,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_8196]) ).

tcf(c_9425,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2487]) ).

tcf(c_9426,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_7528]) ).

tcf(c_9427,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_7527]) ).

tcf(c_9428,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_7526]) ).

tcf(c_9429,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2445]) ).

tcf(c_9430,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_6922]) ).

tcf(c_9431,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_6921]) ).

tcf(c_9432,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_6920]) ).

tcf(c_9433,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2350]) ).

tcf(c_9434,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_5744]) ).

tcf(c_9435,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_5743]) ).

tcf(c_9436,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_5742]) ).

tcf(c_9437,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2306]) ).

tcf(c_9438,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_4055]) ).

tcf(c_9439,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_3410]) ).

tcf(c_9440,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_3318]) ).

tcf(c_9441,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_2939]) ).

tcf(c_9442,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_2464]) ).

tcf(c_9443,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_2403]) ).

tcf(c_9444,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_2375]) ).

tcf(c_9445,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_4054]) ).

tcf(c_9446,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_4053]) ).

tcf(c_9447,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2305]) ).

tcf(c_9448,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_2314]) ).

tcf(c_9449,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_2313]) ).

tcf(c_9453,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_1259]) ).

tcf(c_9454,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_2312]) ).

tcf(c_9455,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2304]) ).

tcf(c_9456,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_1165]) ).

tcf(c_9534,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1108,c_3173]) ).

tcf(c_9535,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3173,c_1176]) ).

tcf(c_9537,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_3181]) ).

tcf(c_9538,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3181,c_1176]) ).

tcf(c_9540,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_1108,c_3314]) ).

tcf(c_9542,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3314,c_1176]) ).

tcf(c_9543,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_6122,c_9540]) ).

tcf(c_9544,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_6092,c_9540]) ).

tcf(c_9546,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_5679,c_9540]) ).

tcf(c_9567,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_3319,c_1176]) ).

tcf(c_9568,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_5702,c_123,c_117,c_2361,c_2636,c_5702]) ).

tcf(c_9572,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_8198]) ).

tcf(c_9573,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_8197]) ).

tcf(c_9574,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_8196]) ).

tcf(c_9575,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2487]) ).

tcf(c_9576,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_7528]) ).

tcf(c_9577,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_7527]) ).

tcf(c_9578,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_7526]) ).

tcf(c_9579,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2445]) ).

tcf(c_9580,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_6922]) ).

tcf(c_9581,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_6921]) ).

tcf(c_9582,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_6920]) ).

tcf(c_9583,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2350]) ).

tcf(c_9584,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_5744]) ).

tcf(c_9585,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_5743]) ).

tcf(c_9586,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_5742]) ).

tcf(c_9587,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2306]) ).

tcf(c_9588,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_4055]) ).

tcf(c_9589,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_3410]) ).

tcf(c_9590,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_3318]) ).

tcf(c_9591,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_2939]) ).

tcf(c_9592,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_2464]) ).

tcf(c_9593,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_2403]) ).

tcf(c_9594,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_2375]) ).

tcf(c_9595,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_4054]) ).

tcf(c_9596,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_4053]) ).

tcf(c_9597,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2305]) ).

tcf(c_9598,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_2314]) ).

tcf(c_9599,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_2313]) ).

tcf(c_9603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_1259]) ).

tcf(c_9604,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_2312]) ).

tcf(c_9605,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2304]) ).

tcf(c_9606,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_1165]) ).

tcf(c_9652,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_5724,c_127,c_117,c_2370,c_2639,c_5724]) ).

tcf(c_9654,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_8198]) ).

tcf(c_9655,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_8197]) ).

tcf(c_9656,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_8196]) ).

tcf(c_9657,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2487]) ).

tcf(c_9658,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_7528]) ).

tcf(c_9659,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_7527]) ).

tcf(c_9660,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_7526]) ).

tcf(c_9661,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2445]) ).

tcf(c_9662,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_6922]) ).

tcf(c_9663,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_6921]) ).

tcf(c_9664,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_6920]) ).

tcf(c_9665,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2350]) ).

tcf(c_9666,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_5744]) ).

tcf(c_9667,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_5743]) ).

tcf(c_9668,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_5742]) ).

tcf(c_9669,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2306]) ).

tcf(c_9670,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_4055]) ).

tcf(c_9671,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_3410]) ).

tcf(c_9672,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_3318]) ).

tcf(c_9673,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_2939]) ).

tcf(c_9674,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_2464]) ).

tcf(c_9675,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_2403]) ).

tcf(c_9676,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_2375]) ).

tcf(c_9677,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_4054]) ).

tcf(c_9678,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_4053]) ).

tcf(c_9679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2305]) ).

tcf(c_9680,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_2314]) ).

tcf(c_9681,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_2313]) ).

tcf(c_9685,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_1259]) ).

tcf(c_9686,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_2312]) ).

tcf(c_9687,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2304]) ).

tcf(c_9688,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_1165]) ).

tcf(c_9818,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_5725,c_127,c_123,c_117,c_2370,c_2639,c_5725]) ).

tcf(c_9820,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_8198]) ).

tcf(c_9821,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_8197]) ).

tcf(c_9822,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_8196]) ).

tcf(c_9823,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2487]) ).

tcf(c_9824,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_7528]) ).

tcf(c_9825,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_7527]) ).

tcf(c_9826,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_7526]) ).

tcf(c_9827,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2445]) ).

tcf(c_9828,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_6922]) ).

tcf(c_9829,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_6921]) ).

tcf(c_9830,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_6920]) ).

tcf(c_9831,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2350]) ).

tcf(c_9832,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_5744]) ).

tcf(c_9833,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_5743]) ).

tcf(c_9834,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_5742]) ).

tcf(c_9835,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2306]) ).

tcf(c_9836,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_4055]) ).

tcf(c_9837,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_3410]) ).

tcf(c_9838,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_3318]) ).

tcf(c_9839,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_2939]) ).

tcf(c_9840,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_2464]) ).

tcf(c_9841,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_2403]) ).

tcf(c_9842,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_2375]) ).

tcf(c_9843,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_4054]) ).

tcf(c_9844,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_4053]) ).

tcf(c_9845,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2305]) ).

tcf(c_9846,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_2314]) ).

tcf(c_9847,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_2313]) ).

tcf(c_9851,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_1259]) ).

tcf(c_9852,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_2312]) ).

tcf(c_9853,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2304]) ).

tcf(c_9854,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_1165]) ).

tcf(c_9919,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_3362,c_1176]) ).

tcf(c_9922,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_3363,c_1176]) ).

tcf(c_9926,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_1108,c_3406]) ).

tcf(c_9928,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3406,c_1176]) ).

tcf(c_9929,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_5682,c_9926]) ).

tcf(c_9936,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_3411,c_1176]) ).

tcf(c_9940,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_3484,c_1176]) ).

tcf(c_9944,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_3485,c_1176]) ).

tcf(c_9948,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_3486,c_1176]) ).

tcf(c_9952,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3532,c_1176]) ).

tcf(c_9956,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3533,c_1176]) ).

tcf(c_9959,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_6850,c_127,c_123,c_117,c_2361,c_2657,c_6850]) ).

tcf(c_9961,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3277,c_9959]) ).

tcf(c_9963,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_8198]) ).

tcf(c_9964,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_8197]) ).

tcf(c_9965,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_8196]) ).

tcf(c_9966,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2487]) ).

tcf(c_9967,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_7528]) ).

tcf(c_9968,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_7527]) ).

tcf(c_9969,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_7526]) ).

tcf(c_9970,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2445]) ).

tcf(c_9971,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_6922]) ).

tcf(c_9972,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_6921]) ).

tcf(c_9973,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_6920]) ).

tcf(c_9974,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2350]) ).

tcf(c_9975,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_5744]) ).

tcf(c_9976,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_5743]) ).

tcf(c_9977,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_5742]) ).

tcf(c_9978,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2306]) ).

tcf(c_9979,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_4055]) ).

tcf(c_9980,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_3410]) ).

tcf(c_9981,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_3318]) ).

tcf(c_9982,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_2939]) ).

tcf(c_9983,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_2464]) ).

tcf(c_9984,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_2403]) ).

tcf(c_9985,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_2375]) ).

tcf(c_9986,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_4054]) ).

tcf(c_9987,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_4053]) ).

tcf(c_9988,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2305]) ).

tcf(c_9989,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_2314]) ).

tcf(c_9990,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_2313]) ).

tcf(c_9994,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_1259]) ).

tcf(c_9995,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_2312]) ).

tcf(c_9996,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2304]) ).

tcf(c_9997,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_1165]) ).

tcf(c_10110,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_6853,c_123,c_117,c_2361,c_2657,c_6853]) ).

tcf(c_10112,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3277,c_10110]) ).

tcf(c_10114,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_8198]) ).

tcf(c_10115,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_8197]) ).

tcf(c_10116,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_8196]) ).

tcf(c_10117,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2487]) ).

tcf(c_10118,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_7528]) ).

tcf(c_10119,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_7527]) ).

tcf(c_10120,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_7526]) ).

tcf(c_10121,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2445]) ).

tcf(c_10122,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_6922]) ).

tcf(c_10123,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_6921]) ).

tcf(c_10124,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_6920]) ).

tcf(c_10125,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2350]) ).

tcf(c_10126,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_5744]) ).

tcf(c_10127,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_5743]) ).

tcf(c_10128,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_5742]) ).

tcf(c_10129,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2306]) ).

tcf(c_10130,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_4055]) ).

tcf(c_10131,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_3410]) ).

tcf(c_10132,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_3318]) ).

tcf(c_10133,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_2939]) ).

tcf(c_10134,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_2464]) ).

tcf(c_10135,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_2403]) ).

tcf(c_10136,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_2375]) ).

tcf(c_10137,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_4054]) ).

tcf(c_10138,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_4053]) ).

tcf(c_10139,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2305]) ).

tcf(c_10140,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_2314]) ).

tcf(c_10141,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_2313]) ).

tcf(c_10145,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_1259]) ).

tcf(c_10146,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_2312]) ).

tcf(c_10147,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2304]) ).

tcf(c_10148,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_1165]) ).

tcf(c_10207,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_8198]) ).

tcf(c_10208,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_8197]) ).

tcf(c_10209,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_8196]) ).

tcf(c_10210,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2487]) ).

tcf(c_10211,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_7528]) ).

tcf(c_10212,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_7527]) ).

tcf(c_10213,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_7526]) ).

tcf(c_10214,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2445]) ).

tcf(c_10215,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_6922]) ).

tcf(c_10216,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_6921]) ).

tcf(c_10217,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_6920]) ).

tcf(c_10218,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2350]) ).

tcf(c_10219,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_5744]) ).

tcf(c_10220,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_5743]) ).

tcf(c_10221,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_5742]) ).

tcf(c_10222,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2306]) ).

tcf(c_10223,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_4055]) ).

tcf(c_10224,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_3410]) ).

tcf(c_10225,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_3318]) ).

tcf(c_10226,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_2939]) ).

tcf(c_10227,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_2464]) ).

tcf(c_10228,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_2403]) ).

tcf(c_10229,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_2375]) ).

tcf(c_10230,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_4054]) ).

tcf(c_10231,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_4053]) ).

tcf(c_10232,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2305]) ).

tcf(c_10233,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_2314]) ).

tcf(c_10234,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_2313]) ).

tcf(c_10238,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_1259]) ).

tcf(c_10239,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_2312]) ).

tcf(c_10240,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2304]) ).

tcf(c_10241,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_1165]) ).

tcf(c_10325,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_8198]) ).

tcf(c_10326,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_8197]) ).

tcf(c_10327,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_8196]) ).

tcf(c_10328,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2487]) ).

tcf(c_10329,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_7528]) ).

tcf(c_10330,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_7527]) ).

tcf(c_10331,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_7526]) ).

tcf(c_10332,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2445]) ).

tcf(c_10333,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_6922]) ).

tcf(c_10334,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_6921]) ).

tcf(c_10335,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_6920]) ).

tcf(c_10336,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2350]) ).

tcf(c_10337,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_5744]) ).

tcf(c_10338,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_5743]) ).

tcf(c_10339,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_5742]) ).

tcf(c_10340,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2306]) ).

tcf(c_10341,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_4055]) ).

tcf(c_10342,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_3410]) ).

tcf(c_10343,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_3318]) ).

tcf(c_10344,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_2939]) ).

tcf(c_10345,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_2464]) ).

tcf(c_10346,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_2403]) ).

tcf(c_10347,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_2375]) ).

tcf(c_10348,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_4054]) ).

tcf(c_10349,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_4053]) ).

tcf(c_10350,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2305]) ).

tcf(c_10351,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_2314]) ).

tcf(c_10352,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_2313]) ).

tcf(c_10356,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_1259]) ).

tcf(c_10357,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_2312]) ).

tcf(c_10358,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2304]) ).

tcf(c_10359,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_1165]) ).

tcf(c_10487,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3534,c_1176]) ).

tcf(c_10498,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3584,c_1176]) ).

tcf(c_10504,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3585,c_1176]) ).

tcf(c_10515,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3586,c_1176]) ).

tcf(c_10518,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3642,c_1176]) ).

tcf(c_10548,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3643,c_1176]) ).

tcf(c_10551,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xP,xE))) ),
    inference(superposition,[status(thm)],[c_3644,c_1176]) ).

tcf(c_10555,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xH))) ),
    inference(superposition,[status(thm)],[c_3705,c_1176]) ).

tcf(c_10564,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xH))) ),
    inference(superposition,[status(thm)],[c_3706,c_1176]) ).

tcf(c_10568,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xP,xH))) ),
    inference(superposition,[status(thm)],[c_3707,c_1176]) ).

tcf(c_10589,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_6860,c_127,c_123,c_117,c_2370,c_2658,c_6860]) ).

tcf(c_10591,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_4472,c_10589]) ).

tcf(c_10593,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_4049,c_10589]) ).

tcf(c_10594,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_8198]) ).

tcf(c_10595,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_8197]) ).

tcf(c_10596,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_8196]) ).

tcf(c_10597,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2487]) ).

tcf(c_10598,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_7528]) ).

tcf(c_10599,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_7527]) ).

tcf(c_10600,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_7526]) ).

tcf(c_10601,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2445]) ).

tcf(c_10602,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_6922]) ).

tcf(c_10603,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_6921]) ).

tcf(c_10604,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_6920]) ).

tcf(c_10605,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2350]) ).

tcf(c_10606,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_5744]) ).

tcf(c_10607,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_5743]) ).

tcf(c_10608,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_5742]) ).

tcf(c_10609,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2306]) ).

tcf(c_10610,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_4055]) ).

tcf(c_10611,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_3410]) ).

tcf(c_10612,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_3318]) ).

tcf(c_10613,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_2939]) ).

tcf(c_10614,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_2464]) ).

tcf(c_10615,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_2403]) ).

tcf(c_10616,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_2375]) ).

tcf(c_10617,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_4054]) ).

tcf(c_10618,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_4053]) ).

tcf(c_10619,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2305]) ).

tcf(c_10620,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_2314]) ).

tcf(c_10621,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_2313]) ).

tcf(c_10625,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_1259]) ).

tcf(c_10626,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_2312]) ).

tcf(c_10627,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2304]) ).

tcf(c_10628,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_1165]) ).

tcf(c_10653,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_6869,c_127,c_123,c_117,c_2370,c_2658,c_6869]) ).

tcf(c_10655,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_4472,c_10653]) ).

tcf(c_10657,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_4049,c_10653]) ).

tcf(c_10658,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_8198]) ).

tcf(c_10659,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_8197]) ).

tcf(c_10660,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_8196]) ).

tcf(c_10661,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2487]) ).

tcf(c_10662,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_7528]) ).

tcf(c_10663,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_7527]) ).

tcf(c_10664,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_7526]) ).

tcf(c_10665,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2445]) ).

tcf(c_10666,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_6922]) ).

tcf(c_10667,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_6921]) ).

tcf(c_10668,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_6920]) ).

tcf(c_10669,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2350]) ).

tcf(c_10670,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_5744]) ).

tcf(c_10671,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_5743]) ).

tcf(c_10672,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_5742]) ).

tcf(c_10673,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2306]) ).

tcf(c_10674,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_4055]) ).

tcf(c_10675,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_3410]) ).

tcf(c_10676,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_3318]) ).

tcf(c_10677,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_2939]) ).

tcf(c_10678,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_2464]) ).

tcf(c_10679,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_2403]) ).

tcf(c_10680,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_2375]) ).

tcf(c_10681,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_4054]) ).

tcf(c_10682,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_4053]) ).

tcf(c_10683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2305]) ).

tcf(c_10684,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_2314]) ).

tcf(c_10685,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_2313]) ).

tcf(c_10689,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_1259]) ).

tcf(c_10690,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_2312]) ).

tcf(c_10691,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2304]) ).

tcf(c_10692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_1165]) ).

tcf(c_10813,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_6873,c_127,c_123,c_117,c_2370,c_2658,c_6873]) ).

tcf(c_10819,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_4049,c_10813]) ).

tcf(c_10820,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_8198]) ).

tcf(c_10821,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_8197]) ).

tcf(c_10822,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_8196]) ).

tcf(c_10823,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2487]) ).

tcf(c_10824,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_7528]) ).

tcf(c_10825,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_7527]) ).

tcf(c_10826,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_7526]) ).

tcf(c_10827,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2445]) ).

tcf(c_10828,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_6922]) ).

tcf(c_10829,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_6921]) ).

tcf(c_10830,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_6920]) ).

tcf(c_10831,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2350]) ).

tcf(c_10832,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_5744]) ).

tcf(c_10833,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_5743]) ).

tcf(c_10834,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_5742]) ).

tcf(c_10835,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2306]) ).

tcf(c_10836,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_4055]) ).

tcf(c_10837,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_3410]) ).

tcf(c_10838,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_3318]) ).

tcf(c_10839,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_2939]) ).

tcf(c_10840,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_2464]) ).

tcf(c_10841,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_2403]) ).

tcf(c_10842,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_2375]) ).

tcf(c_10843,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_4054]) ).

tcf(c_10844,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_4053]) ).

tcf(c_10845,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2305]) ).

tcf(c_10846,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_2314]) ).

tcf(c_10847,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_2313]) ).

tcf(c_10851,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_1259]) ).

tcf(c_10852,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_2312]) ).

tcf(c_10853,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2304]) ).

tcf(c_10854,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_1165]) ).

tcf(c_11014,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_6909,c_127,c_123,c_2459,c_2659,c_6909]) ).

tcf(c_11016,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_8198]) ).

tcf(c_11017,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_8197]) ).

tcf(c_11018,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_8196]) ).

tcf(c_11019,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2487]) ).

tcf(c_11020,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_7528]) ).

tcf(c_11021,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_7527]) ).

tcf(c_11022,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_7526]) ).

tcf(c_11023,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2445]) ).

tcf(c_11024,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_6922]) ).

tcf(c_11025,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_6921]) ).

tcf(c_11026,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_6920]) ).

tcf(c_11027,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2350]) ).

tcf(c_11028,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_5744]) ).

tcf(c_11029,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_5743]) ).

tcf(c_11030,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_5742]) ).

tcf(c_11031,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2306]) ).

tcf(c_11032,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_4055]) ).

tcf(c_11033,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_3410]) ).

tcf(c_11034,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_3318]) ).

tcf(c_11035,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_2939]) ).

tcf(c_11036,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_2464]) ).

tcf(c_11037,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_2403]) ).

tcf(c_11038,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_2375]) ).

tcf(c_11039,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_4054]) ).

tcf(c_11040,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_4053]) ).

tcf(c_11041,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2305]) ).

tcf(c_11042,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_2314]) ).

tcf(c_11043,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_2313]) ).

tcf(c_11047,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_1259]) ).

tcf(c_11048,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_2312]) ).

tcf(c_11049,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2304]) ).

tcf(c_11050,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_1165]) ).

tcf(c_11239,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_8198]) ).

tcf(c_11240,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_8197]) ).

tcf(c_11241,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_8196]) ).

tcf(c_11242,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2487]) ).

tcf(c_11243,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_7528]) ).

tcf(c_11244,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_7527]) ).

tcf(c_11245,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_7526]) ).

tcf(c_11246,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2445]) ).

tcf(c_11247,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_6922]) ).

tcf(c_11248,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_6921]) ).

tcf(c_11249,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_6920]) ).

tcf(c_11250,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2350]) ).

tcf(c_11251,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_5744]) ).

tcf(c_11252,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_5743]) ).

tcf(c_11253,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_5742]) ).

tcf(c_11254,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2306]) ).

tcf(c_11255,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_4055]) ).

tcf(c_11256,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_3410]) ).

tcf(c_11257,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_3318]) ).

tcf(c_11258,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_2939]) ).

tcf(c_11259,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_2464]) ).

tcf(c_11260,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_2403]) ).

tcf(c_11261,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_2375]) ).

tcf(c_11262,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_4054]) ).

tcf(c_11263,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_4053]) ).

tcf(c_11264,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2305]) ).

tcf(c_11265,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_2314]) ).

tcf(c_11266,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_2313]) ).

tcf(c_11270,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_1259]) ).

tcf(c_11271,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_2312]) ).

tcf(c_11272,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2304]) ).

tcf(c_11273,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_1165]) ).

tcf(c_11423,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_8198]) ).

tcf(c_11424,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_8197]) ).

tcf(c_11425,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_8196]) ).

tcf(c_11426,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2487]) ).

tcf(c_11427,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_7528]) ).

tcf(c_11428,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_7527]) ).

tcf(c_11429,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_7526]) ).

tcf(c_11430,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2445]) ).

tcf(c_11431,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_6922]) ).

tcf(c_11432,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_6921]) ).

tcf(c_11433,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_6920]) ).

tcf(c_11434,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2350]) ).

tcf(c_11435,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_5744]) ).

tcf(c_11436,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_5743]) ).

tcf(c_11437,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_5742]) ).

tcf(c_11438,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2306]) ).

tcf(c_11439,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_4055]) ).

tcf(c_11440,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_3410]) ).

tcf(c_11441,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_3318]) ).

tcf(c_11442,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_2939]) ).

tcf(c_11443,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_2464]) ).

tcf(c_11444,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_2403]) ).

tcf(c_11445,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_2375]) ).

tcf(c_11446,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_4054]) ).

tcf(c_11447,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_4053]) ).

tcf(c_11448,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2305]) ).

tcf(c_11449,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_2314]) ).

tcf(c_11450,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_2313]) ).

tcf(c_11454,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_1259]) ).

tcf(c_11455,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_2312]) ).

tcf(c_11456,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2304]) ).

tcf(c_11457,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_1165]) ).

tcf(c_11514,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_8198]) ).

tcf(c_11515,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_8197]) ).

tcf(c_11516,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_8196]) ).

tcf(c_11517,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2487]) ).

tcf(c_11518,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_7528]) ).

tcf(c_11519,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_7527]) ).

tcf(c_11520,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_7526]) ).

tcf(c_11521,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2445]) ).

tcf(c_11522,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_6922]) ).

tcf(c_11523,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_6921]) ).

tcf(c_11524,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_6920]) ).

tcf(c_11525,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2350]) ).

tcf(c_11526,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_5744]) ).

tcf(c_11527,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_5743]) ).

tcf(c_11528,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_5742]) ).

tcf(c_11529,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2306]) ).

tcf(c_11530,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_4055]) ).

tcf(c_11531,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_3410]) ).

tcf(c_11532,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_3318]) ).

tcf(c_11533,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_2939]) ).

tcf(c_11534,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_2464]) ).

tcf(c_11535,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_2403]) ).

tcf(c_11536,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_2375]) ).

tcf(c_11537,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_4054]) ).

tcf(c_11538,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_4053]) ).

tcf(c_11539,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2305]) ).

tcf(c_11540,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_2314]) ).

tcf(c_11541,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_2313]) ).

tcf(c_11545,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_1259]) ).

tcf(c_11546,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_2312]) ).

tcf(c_11547,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2304]) ).

tcf(c_11548,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_1165]) ).

tcf(c_11617,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_8198]) ).

tcf(c_11618,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_8197]) ).

tcf(c_11619,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_8196]) ).

tcf(c_11620,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2487]) ).

tcf(c_11621,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_7528]) ).

tcf(c_11622,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_7527]) ).

tcf(c_11623,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_7526]) ).

tcf(c_11624,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2445]) ).

tcf(c_11625,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_6922]) ).

tcf(c_11626,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_6921]) ).

tcf(c_11627,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_6920]) ).

tcf(c_11628,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2350]) ).

tcf(c_11629,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_5744]) ).

tcf(c_11630,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_5743]) ).

tcf(c_11631,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_5742]) ).

tcf(c_11632,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2306]) ).

tcf(c_11633,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_4055]) ).

tcf(c_11634,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_3410]) ).

tcf(c_11635,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_3318]) ).

tcf(c_11636,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_2939]) ).

tcf(c_11637,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_2464]) ).

tcf(c_11638,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_2403]) ).

tcf(c_11639,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_2375]) ).

tcf(c_11640,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_4054]) ).

tcf(c_11641,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_4053]) ).

tcf(c_11642,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2305]) ).

tcf(c_11643,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_2314]) ).

tcf(c_11644,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_2313]) ).

tcf(c_11648,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_1259]) ).

tcf(c_11649,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_2312]) ).

tcf(c_11650,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2304]) ).

tcf(c_11651,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_1165]) ).

tcf(c_11725,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_8198]) ).

tcf(c_11726,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_8197]) ).

tcf(c_11727,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_8196]) ).

tcf(c_11728,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2487]) ).

tcf(c_11729,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_7528]) ).

tcf(c_11730,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_7527]) ).

tcf(c_11731,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_7526]) ).

tcf(c_11732,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2445]) ).

tcf(c_11733,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_6922]) ).

tcf(c_11734,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_6921]) ).

tcf(c_11735,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_6920]) ).

tcf(c_11736,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2350]) ).

tcf(c_11737,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_5744]) ).

tcf(c_11738,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_5743]) ).

tcf(c_11739,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_5742]) ).

tcf(c_11740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2306]) ).

tcf(c_11741,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_4055]) ).

tcf(c_11742,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_3410]) ).

tcf(c_11743,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_3318]) ).

tcf(c_11744,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_2939]) ).

tcf(c_11745,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_2464]) ).

tcf(c_11746,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_2403]) ).

tcf(c_11747,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_2375]) ).

tcf(c_11748,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_4054]) ).

tcf(c_11749,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_4053]) ).

tcf(c_11750,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2305]) ).

tcf(c_11751,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_2314]) ).

tcf(c_11752,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_2313]) ).

tcf(c_11756,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_1259]) ).

tcf(c_11757,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_2312]) ).

tcf(c_11758,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2304]) ).

tcf(c_11759,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_1165]) ).

tcf(c_11865,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xH))) ),
    inference(superposition,[status(thm)],[c_3731,c_1176]) ).

tcf(c_11868,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xH))) ),
    inference(superposition,[status(thm)],[c_3732,c_1176]) ).

tcf(c_11871,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xP,xH))) ),
    inference(superposition,[status(thm)],[c_3733,c_1176]) ).

tcf(c_11891,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))
    | ~ aScalar0(sdtasdt0(xE,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_3840,c_1176]) ).

tcf(c_11892,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_6910,c_127,c_123,c_2459,c_2659,c_6910]) ).

tcf(c_11894,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_8198]) ).

tcf(c_11895,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_8197]) ).

tcf(c_11896,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_8196]) ).

tcf(c_11897,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2487]) ).

tcf(c_11898,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_7528]) ).

tcf(c_11899,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_7527]) ).

tcf(c_11900,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_7526]) ).

tcf(c_11901,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2445]) ).

tcf(c_11902,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_6922]) ).

tcf(c_11903,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_6921]) ).

tcf(c_11904,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_6920]) ).

tcf(c_11905,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2350]) ).

tcf(c_11906,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_5744]) ).

tcf(c_11907,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_5743]) ).

tcf(c_11908,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_5742]) ).

tcf(c_11909,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2306]) ).

tcf(c_11910,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_4055]) ).

tcf(c_11911,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_3410]) ).

tcf(c_11912,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_3318]) ).

tcf(c_11913,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_2939]) ).

tcf(c_11914,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_2464]) ).

tcf(c_11915,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_2403]) ).

tcf(c_11916,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_2375]) ).

tcf(c_11917,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_4054]) ).

tcf(c_11918,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_4053]) ).

tcf(c_11919,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2305]) ).

tcf(c_11920,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_2314]) ).

tcf(c_11921,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_2313]) ).

tcf(c_11925,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_1259]) ).

tcf(c_11926,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_2312]) ).

tcf(c_11927,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2304]) ).

tcf(c_11928,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_1165]) ).

tcf(c_12029,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_6911,c_127,c_123,c_117,c_2459,c_2659,c_6911]) ).

tcf(c_12033,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_8198]) ).

tcf(c_12034,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_8197]) ).

tcf(c_12035,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_8196]) ).

tcf(c_12036,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2487]) ).

tcf(c_12037,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_7528]) ).

tcf(c_12038,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_7527]) ).

tcf(c_12039,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_7526]) ).

tcf(c_12040,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2445]) ).

tcf(c_12041,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_6922]) ).

tcf(c_12042,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_6921]) ).

tcf(c_12043,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_6920]) ).

tcf(c_12044,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2350]) ).

tcf(c_12045,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_5744]) ).

tcf(c_12046,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_5743]) ).

tcf(c_12047,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_5742]) ).

tcf(c_12048,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2306]) ).

tcf(c_12049,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_4055]) ).

tcf(c_12050,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_3410]) ).

tcf(c_12051,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_3318]) ).

tcf(c_12052,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_2939]) ).

tcf(c_12053,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_2464]) ).

tcf(c_12054,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_2403]) ).

tcf(c_12055,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_2375]) ).

tcf(c_12056,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_4054]) ).

tcf(c_12057,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_4053]) ).

tcf(c_12058,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2305]) ).

tcf(c_12059,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_2314]) ).

tcf(c_12060,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_2313]) ).

tcf(c_12064,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_1259]) ).

tcf(c_12065,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_2312]) ).

tcf(c_12066,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2304]) ).

tcf(c_12067,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_1165]) ).

tcf(c_12123,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_3841,c_1176]) ).

tcf(c_12155,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_12123,c_127,c_117,c_2370,c_2668,c_7525]) ).

tcf(c_12157,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_4052,c_12155]) ).

tcf(c_12158,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_8198]) ).

tcf(c_12159,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_8197]) ).

tcf(c_12160,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_8196]) ).

tcf(c_12161,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2487]) ).

tcf(c_12162,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_7528]) ).

tcf(c_12163,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_7527]) ).

tcf(c_12164,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_7526]) ).

tcf(c_12165,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2445]) ).

tcf(c_12166,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_6922]) ).

tcf(c_12167,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_6921]) ).

tcf(c_12168,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_6920]) ).

tcf(c_12169,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2350]) ).

tcf(c_12170,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_5744]) ).

tcf(c_12171,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_5743]) ).

tcf(c_12172,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_5742]) ).

tcf(c_12173,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2306]) ).

tcf(c_12174,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_4055]) ).

tcf(c_12175,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_3410]) ).

tcf(c_12176,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_3318]) ).

tcf(c_12177,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_2939]) ).

tcf(c_12178,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_2464]) ).

tcf(c_12179,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_2403]) ).

tcf(c_12180,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_2375]) ).

tcf(c_12181,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_4054]) ).

tcf(c_12182,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_4053]) ).

tcf(c_12183,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2305]) ).

tcf(c_12184,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_2314]) ).

tcf(c_12185,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_2313]) ).

tcf(c_12189,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_1259]) ).

tcf(c_12190,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_2312]) ).

tcf(c_12191,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2304]) ).

tcf(c_12192,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_1165]) ).

tcf(c_12235,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_8198]) ).

tcf(c_12236,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_8197]) ).

tcf(c_12237,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_8196]) ).

tcf(c_12238,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2487]) ).

tcf(c_12239,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_7528]) ).

tcf(c_12240,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_7527]) ).

tcf(c_12241,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_7526]) ).

tcf(c_12242,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2445]) ).

tcf(c_12243,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_6922]) ).

tcf(c_12244,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_6921]) ).

tcf(c_12245,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_6920]) ).

tcf(c_12246,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2350]) ).

tcf(c_12247,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_5744]) ).

tcf(c_12248,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_5743]) ).

tcf(c_12249,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_5742]) ).

tcf(c_12250,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2306]) ).

tcf(c_12251,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_4055]) ).

tcf(c_12252,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_3410]) ).

tcf(c_12253,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_3318]) ).

tcf(c_12254,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_2939]) ).

tcf(c_12255,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_2464]) ).

tcf(c_12256,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_2403]) ).

tcf(c_12257,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_2375]) ).

tcf(c_12258,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_4054]) ).

tcf(c_12259,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_4053]) ).

tcf(c_12260,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2305]) ).

tcf(c_12261,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_2314]) ).

tcf(c_12262,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_2313]) ).

tcf(c_12266,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_1259]) ).

tcf(c_12267,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_2312]) ).

tcf(c_12268,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2304]) ).

tcf(c_12269,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_1165]) ).

tcf(c_12385,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_3842,c_1176]) ).

tcf(c_12386,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_3850,c_1176]) ).

tcf(c_12388,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_3855,c_1176]) ).

tcf(c_12390,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_3857,c_1176]) ).

tcf(c_12391,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2348,c_4318]) ).

tcf(c_12394,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2348,c_4319]) ).

tcf(c_12396,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2348,c_4320]) ).

tcf(c_12398,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2348,c_4328]) ).

tcf(c_12399,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_4328,c_1176]) ).

tcf(c_12400,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_2348,c_4333]) ).

tcf(c_12402,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_4333,c_1176]) ).

tcf(c_12405,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_7483,c_127,c_123,c_117,c_2361,c_2667,c_7483]) ).

tcf(c_12408,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_6056,c_12405]) ).

tcf(c_12412,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_8198]) ).

tcf(c_12413,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_8197]) ).

tcf(c_12414,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_8196]) ).

tcf(c_12415,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2487]) ).

tcf(c_12416,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_7528]) ).

tcf(c_12417,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_7527]) ).

tcf(c_12418,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_7526]) ).

tcf(c_12419,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2445]) ).

tcf(c_12420,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_6922]) ).

tcf(c_12421,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_6921]) ).

tcf(c_12422,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_6920]) ).

tcf(c_12423,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2350]) ).

tcf(c_12424,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_5744]) ).

tcf(c_12425,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_5743]) ).

tcf(c_12426,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_5742]) ).

tcf(c_12427,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2306]) ).

tcf(c_12428,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_4055]) ).

tcf(c_12429,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_3410]) ).

tcf(c_12430,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_3318]) ).

tcf(c_12431,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_2939]) ).

tcf(c_12432,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_2464]) ).

tcf(c_12433,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_2403]) ).

tcf(c_12434,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_2375]) ).

tcf(c_12435,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_4054]) ).

tcf(c_12436,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_4053]) ).

tcf(c_12437,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2305]) ).

tcf(c_12438,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_2314]) ).

tcf(c_12439,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_2313]) ).

tcf(c_12443,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_1259]) ).

tcf(c_12444,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_2312]) ).

tcf(c_12445,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2304]) ).

tcf(c_12446,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_1165]) ).

tcf(c_12483,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_7489,c_127,c_123,c_117,c_2361,c_2667,c_7489]) ).

tcf(c_12486,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_6056,c_12483]) ).

tcf(c_12490,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_8198]) ).

tcf(c_12491,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_8197]) ).

tcf(c_12492,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_8196]) ).

tcf(c_12493,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2487]) ).

tcf(c_12494,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_7528]) ).

tcf(c_12495,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_7527]) ).

tcf(c_12496,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_7526]) ).

tcf(c_12497,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2445]) ).

tcf(c_12498,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_6922]) ).

tcf(c_12499,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_6921]) ).

tcf(c_12500,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_6920]) ).

tcf(c_12501,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2350]) ).

tcf(c_12502,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_5744]) ).

tcf(c_12503,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_5743]) ).

tcf(c_12504,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_5742]) ).

tcf(c_12505,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2306]) ).

tcf(c_12506,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_4055]) ).

tcf(c_12507,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_3410]) ).

tcf(c_12508,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_3318]) ).

tcf(c_12509,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_2939]) ).

tcf(c_12510,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_2464]) ).

tcf(c_12511,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_2403]) ).

tcf(c_12512,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_2375]) ).

tcf(c_12513,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_4054]) ).

tcf(c_12514,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_4053]) ).

tcf(c_12515,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2305]) ).

tcf(c_12516,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_2314]) ).

tcf(c_12517,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_2313]) ).

tcf(c_12521,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_1259]) ).

tcf(c_12522,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_2312]) ).

tcf(c_12523,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2304]) ).

tcf(c_12524,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_1165]) ).

tcf(c_12997,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_7495,c_127,c_123,c_117,c_2361,c_2667,c_7495]) ).

tcf(c_13000,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_6056,c_12997]) ).

tcf(c_13004,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_8198]) ).

tcf(c_13005,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_8197]) ).

tcf(c_13006,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_8196]) ).

tcf(c_13007,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2487]) ).

tcf(c_13008,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_7528]) ).

tcf(c_13009,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_7527]) ).

tcf(c_13010,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_7526]) ).

tcf(c_13011,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2445]) ).

tcf(c_13012,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_6922]) ).

tcf(c_13013,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_6921]) ).

tcf(c_13014,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_6920]) ).

tcf(c_13015,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2350]) ).

tcf(c_13016,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_5744]) ).

tcf(c_13017,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_5743]) ).

tcf(c_13018,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_5742]) ).

tcf(c_13019,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2306]) ).

tcf(c_13020,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_4055]) ).

tcf(c_13021,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_3410]) ).

tcf(c_13022,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_3318]) ).

tcf(c_13023,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_2939]) ).

tcf(c_13024,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_2464]) ).

tcf(c_13025,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_2403]) ).

tcf(c_13026,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_2375]) ).

tcf(c_13027,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_4054]) ).

tcf(c_13028,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_4053]) ).

tcf(c_13029,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2305]) ).

tcf(c_13030,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_2314]) ).

tcf(c_13031,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_2313]) ).

tcf(c_13035,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_1259]) ).

tcf(c_13036,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_2312]) ).

tcf(c_13037,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2304]) ).

tcf(c_13038,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_1165]) ).

tcf(c_13169,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_8198]) ).

tcf(c_13170,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_8197]) ).

tcf(c_13171,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_8196]) ).

tcf(c_13172,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2487]) ).

tcf(c_13173,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_7528]) ).

tcf(c_13174,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_7527]) ).

tcf(c_13175,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_7526]) ).

tcf(c_13176,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2445]) ).

tcf(c_13177,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_6922]) ).

tcf(c_13178,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_6921]) ).

tcf(c_13179,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_6920]) ).

tcf(c_13180,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2350]) ).

tcf(c_13181,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_5744]) ).

tcf(c_13182,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_5743]) ).

tcf(c_13183,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_5742]) ).

tcf(c_13184,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2306]) ).

tcf(c_13185,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_4055]) ).

tcf(c_13186,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_3410]) ).

tcf(c_13187,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_3318]) ).

tcf(c_13188,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_2939]) ).

tcf(c_13189,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_2464]) ).

tcf(c_13190,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_2403]) ).

tcf(c_13191,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_2375]) ).

tcf(c_13192,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_4054]) ).

tcf(c_13193,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_4053]) ).

tcf(c_13194,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2305]) ).

tcf(c_13195,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_2314]) ).

tcf(c_13196,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_2313]) ).

tcf(c_13200,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_1259]) ).

tcf(c_13201,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_2312]) ).

tcf(c_13202,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2304]) ).

tcf(c_13203,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_1165]) ).

tcf(c_13302,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_8198]) ).

tcf(c_13303,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_8197]) ).

tcf(c_13304,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_8196]) ).

tcf(c_13305,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2487]) ).

tcf(c_13306,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_7528]) ).

tcf(c_13307,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_7527]) ).

tcf(c_13308,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_7526]) ).

tcf(c_13309,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2445]) ).

tcf(c_13310,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_6922]) ).

tcf(c_13311,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_6921]) ).

tcf(c_13312,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_6920]) ).

tcf(c_13313,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2350]) ).

tcf(c_13314,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_5744]) ).

tcf(c_13315,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_5743]) ).

tcf(c_13316,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_5742]) ).

tcf(c_13317,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2306]) ).

tcf(c_13318,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_4055]) ).

tcf(c_13319,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_3410]) ).

tcf(c_13320,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_3318]) ).

tcf(c_13321,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_2939]) ).

tcf(c_13322,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_2464]) ).

tcf(c_13323,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_2403]) ).

tcf(c_13324,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_2375]) ).

tcf(c_13325,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_4054]) ).

tcf(c_13326,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_4053]) ).

tcf(c_13327,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2305]) ).

tcf(c_13328,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_2314]) ).

tcf(c_13329,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_2313]) ).

tcf(c_13333,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_1259]) ).

tcf(c_13334,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_2312]) ).

tcf(c_13335,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2304]) ).

tcf(c_13336,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_1165]) ).

tcf(c_13416,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_8198]) ).

tcf(c_13417,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_8197]) ).

tcf(c_13418,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_8196]) ).

tcf(c_13419,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2487]) ).

tcf(c_13420,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_7528]) ).

tcf(c_13421,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_7527]) ).

tcf(c_13422,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_7526]) ).

tcf(c_13423,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2445]) ).

tcf(c_13424,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_6922]) ).

tcf(c_13425,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_6921]) ).

tcf(c_13426,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_6920]) ).

tcf(c_13427,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2350]) ).

tcf(c_13428,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_5744]) ).

tcf(c_13429,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_5743]) ).

tcf(c_13430,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_5742]) ).

tcf(c_13431,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2306]) ).

tcf(c_13432,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_4055]) ).

tcf(c_13433,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_3410]) ).

tcf(c_13434,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_3318]) ).

tcf(c_13435,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_2939]) ).

tcf(c_13436,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_2464]) ).

tcf(c_13437,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_2403]) ).

tcf(c_13438,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_2375]) ).

tcf(c_13439,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_4054]) ).

tcf(c_13440,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_4053]) ).

tcf(c_13441,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2305]) ).

tcf(c_13442,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_2314]) ).

tcf(c_13443,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_2313]) ).

tcf(c_13447,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_1259]) ).

tcf(c_13448,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_2312]) ).

tcf(c_13449,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2304]) ).

tcf(c_13450,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_1165]) ).

tcf(c_13524,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_2348,c_4335]) ).

tcf(c_13530,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
    inference(superposition,[status(thm)],[c_4504,c_1176]) ).

tcf(c_13534,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
    inference(superposition,[status(thm)],[c_4505,c_1176]) ).

tcf(c_13538,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xE,xE))) ),
    inference(superposition,[status(thm)],[c_4506,c_1176]) ).

tcf(c_13543,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_4581,c_1176]) ).

tcf(c_13548,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_7521,c_127,c_117,c_2370,c_2668,c_7521]) ).

tcf(c_13550,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_4052,c_13548]) ).

tcf(c_13551,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_8198]) ).

tcf(c_13552,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_8197]) ).

tcf(c_13553,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_8196]) ).

tcf(c_13554,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2487]) ).

tcf(c_13555,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_7528]) ).

tcf(c_13556,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_7527]) ).

tcf(c_13557,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_7526]) ).

tcf(c_13558,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2445]) ).

tcf(c_13559,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_6922]) ).

tcf(c_13560,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_6921]) ).

tcf(c_13561,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_6920]) ).

tcf(c_13562,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2350]) ).

tcf(c_13563,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_5744]) ).

tcf(c_13564,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_5743]) ).

tcf(c_13565,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_5742]) ).

tcf(c_13566,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2306]) ).

tcf(c_13567,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_4055]) ).

tcf(c_13568,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_3410]) ).

tcf(c_13569,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_3318]) ).

tcf(c_13570,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_2939]) ).

tcf(c_13571,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_2464]) ).

tcf(c_13572,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_2403]) ).

tcf(c_13573,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_2375]) ).

tcf(c_13574,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_4054]) ).

tcf(c_13575,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_4053]) ).

tcf(c_13576,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2305]) ).

tcf(c_13577,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_2314]) ).

tcf(c_13578,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_2313]) ).

tcf(c_13582,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_1259]) ).

tcf(c_13583,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_2312]) ).

tcf(c_13584,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2304]) ).

tcf(c_13585,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_1165]) ).

tcf(c_13721,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_7523,c_127,c_123,c_117,c_2370,c_2668,c_7523]) ).

tcf(c_13723,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_4052,c_13721]) ).

tcf(c_13724,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_8198]) ).

tcf(c_13725,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_8197]) ).

tcf(c_13726,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_8196]) ).

tcf(c_13727,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2487]) ).

tcf(c_13728,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_7528]) ).

tcf(c_13729,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_7527]) ).

tcf(c_13730,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_7526]) ).

tcf(c_13731,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2445]) ).

tcf(c_13732,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_6922]) ).

tcf(c_13733,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_6921]) ).

tcf(c_13734,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_6920]) ).

tcf(c_13735,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2350]) ).

tcf(c_13736,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_5744]) ).

tcf(c_13737,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_5743]) ).

tcf(c_13738,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_5742]) ).

tcf(c_13739,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2306]) ).

tcf(c_13740,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_4055]) ).

tcf(c_13741,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_3410]) ).

tcf(c_13742,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_3318]) ).

tcf(c_13743,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_2939]) ).

tcf(c_13744,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_2464]) ).

tcf(c_13745,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_2403]) ).

tcf(c_13746,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_2375]) ).

tcf(c_13747,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_4054]) ).

tcf(c_13748,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_4053]) ).

tcf(c_13749,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2305]) ).

tcf(c_13750,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_2314]) ).

tcf(c_13751,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_2313]) ).

tcf(c_13755,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_1259]) ).

tcf(c_13756,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_2312]) ).

tcf(c_13757,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2304]) ).

tcf(c_13758,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_1165]) ).

tcf(c_13923,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_8198]) ).

tcf(c_13924,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_8197]) ).

tcf(c_13925,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_8196]) ).

tcf(c_13926,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2487]) ).

tcf(c_13927,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_7528]) ).

tcf(c_13928,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_7527]) ).

tcf(c_13929,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_7526]) ).

tcf(c_13930,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2445]) ).

tcf(c_13931,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_6922]) ).

tcf(c_13932,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_6921]) ).

tcf(c_13933,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_6920]) ).

tcf(c_13934,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2350]) ).

tcf(c_13935,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_5744]) ).

tcf(c_13936,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_5743]) ).

tcf(c_13937,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_5742]) ).

tcf(c_13938,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2306]) ).

tcf(c_13939,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_4055]) ).

tcf(c_13940,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_3410]) ).

tcf(c_13941,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_3318]) ).

tcf(c_13942,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_2939]) ).

tcf(c_13943,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_2464]) ).

tcf(c_13944,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_2403]) ).

tcf(c_13945,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_2375]) ).

tcf(c_13946,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_4054]) ).

tcf(c_13947,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_4053]) ).

tcf(c_13948,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2305]) ).

tcf(c_13949,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_2314]) ).

tcf(c_13950,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_2313]) ).

tcf(c_13954,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_1259]) ).

tcf(c_13955,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_2312]) ).

tcf(c_13956,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2304]) ).

tcf(c_13957,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_1165]) ).

tcf(c_14022,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_8198]) ).

tcf(c_14023,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_8197]) ).

tcf(c_14024,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_8196]) ).

tcf(c_14025,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2487]) ).

tcf(c_14026,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_7528]) ).

tcf(c_14027,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_7527]) ).

tcf(c_14028,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_7526]) ).

tcf(c_14029,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2445]) ).

tcf(c_14030,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_6922]) ).

tcf(c_14031,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_6921]) ).

tcf(c_14032,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_6920]) ).

tcf(c_14033,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2350]) ).

tcf(c_14034,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_5744]) ).

tcf(c_14035,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_5743]) ).

tcf(c_14036,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_5742]) ).

tcf(c_14037,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2306]) ).

tcf(c_14038,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_4055]) ).

tcf(c_14039,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_3410]) ).

tcf(c_14040,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_3318]) ).

tcf(c_14041,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_2939]) ).

tcf(c_14042,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_2464]) ).

tcf(c_14043,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_2403]) ).

tcf(c_14044,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_2375]) ).

tcf(c_14045,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_4054]) ).

tcf(c_14046,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_4053]) ).

tcf(c_14047,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2305]) ).

tcf(c_14048,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_2314]) ).

tcf(c_14049,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_2313]) ).

tcf(c_14053,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_1259]) ).

tcf(c_14054,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_2312]) ).

tcf(c_14055,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2304]) ).

tcf(c_14056,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_1165]) ).

tcf(c_14155,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_4588,c_1176]) ).

tcf(c_14159,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_4718,c_1176]) ).

tcf(c_14163,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_4719,c_1176]) ).

tcf(c_14167,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_4720,c_1176]) ).

tcf(c_14168,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_4760,c_1176]) ).

tcf(c_14184,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_4761,c_1176]) ).

tcf(c_14185,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xH,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_4762,c_1176]) ).

tcf(c_14188,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))
    | ~ aScalar0(sdtasdt0(xE,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_4828,c_1176]) ).

tcf(c_14189,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_4828,c_3840]) ).

tcf(c_14191,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_4829,c_1176]) ).

tcf(c_14193,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_4837,c_1176]) ).

tcf(c_14194,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_8163,c_127,c_123,c_2459,c_2669,c_8163]) ).

tcf(c_14196,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_5685,c_14194]) ).

tcf(c_14197,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_8198]) ).

tcf(c_14198,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_8197]) ).

tcf(c_14199,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_8196]) ).

tcf(c_14200,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2487]) ).

tcf(c_14201,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_7528]) ).

tcf(c_14202,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_7527]) ).

tcf(c_14203,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_7526]) ).

tcf(c_14204,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2445]) ).

tcf(c_14205,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_6922]) ).

tcf(c_14206,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_6921]) ).

tcf(c_14207,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_6920]) ).

tcf(c_14208,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2350]) ).

tcf(c_14209,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_5744]) ).

tcf(c_14210,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_5743]) ).

tcf(c_14211,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_5742]) ).

tcf(c_14212,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2306]) ).

tcf(c_14213,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_4055]) ).

tcf(c_14214,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_3410]) ).

tcf(c_14215,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_3318]) ).

tcf(c_14216,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_2939]) ).

tcf(c_14217,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_2464]) ).

tcf(c_14218,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_2403]) ).

tcf(c_14219,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_2375]) ).

tcf(c_14220,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_4054]) ).

tcf(c_14221,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_4053]) ).

tcf(c_14222,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2305]) ).

tcf(c_14223,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_2314]) ).

tcf(c_14224,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_2313]) ).

tcf(c_14228,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_1259]) ).

tcf(c_14229,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_2312]) ).

tcf(c_14230,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2304]) ).

tcf(c_14231,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_1165]) ).

tcf(c_14357,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_8165,c_127,c_123,c_2459,c_2669,c_8165]) ).

tcf(c_14359,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_5685,c_14357]) ).

tcf(c_14360,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_8198]) ).

tcf(c_14361,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_8197]) ).

tcf(c_14362,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_8196]) ).

tcf(c_14363,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2487]) ).

tcf(c_14364,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_7528]) ).

tcf(c_14365,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_7527]) ).

tcf(c_14366,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_7526]) ).

tcf(c_14367,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2445]) ).

tcf(c_14368,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_6922]) ).

tcf(c_14369,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_6921]) ).

tcf(c_14370,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_6920]) ).

tcf(c_14371,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2350]) ).

tcf(c_14372,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_5744]) ).

tcf(c_14373,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_5743]) ).

tcf(c_14374,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_5742]) ).

tcf(c_14375,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2306]) ).

tcf(c_14376,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_4055]) ).

tcf(c_14377,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_3410]) ).

tcf(c_14378,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_3318]) ).

tcf(c_14379,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_2939]) ).

tcf(c_14380,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_2464]) ).

tcf(c_14381,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_2403]) ).

tcf(c_14382,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_2375]) ).

tcf(c_14383,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_4054]) ).

tcf(c_14384,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_4053]) ).

tcf(c_14385,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2305]) ).

tcf(c_14386,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_2314]) ).

tcf(c_14387,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_2313]) ).

tcf(c_14391,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_1259]) ).

tcf(c_14392,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_2312]) ).

tcf(c_14393,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2304]) ).

tcf(c_14394,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_1165]) ).

tcf(c_14444,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_8167,c_127,c_123,c_117,c_2459,c_2669,c_8167]) ).

tcf(c_14446,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_5685,c_14444]) ).

tcf(c_14447,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_8198]) ).

tcf(c_14448,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_8197]) ).

tcf(c_14449,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_8196]) ).

tcf(c_14450,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2487]) ).

tcf(c_14451,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_7528]) ).

tcf(c_14452,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_7527]) ).

tcf(c_14453,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_7526]) ).

tcf(c_14454,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2445]) ).

tcf(c_14455,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_6922]) ).

tcf(c_14456,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_6921]) ).

tcf(c_14457,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_6920]) ).

tcf(c_14458,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2350]) ).

tcf(c_14459,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_5744]) ).

tcf(c_14460,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_5743]) ).

tcf(c_14461,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_5742]) ).

tcf(c_14462,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2306]) ).

tcf(c_14463,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_4055]) ).

tcf(c_14464,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_3410]) ).

tcf(c_14465,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_3318]) ).

tcf(c_14466,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_2939]) ).

tcf(c_14467,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_2464]) ).

tcf(c_14468,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_2403]) ).

tcf(c_14469,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_2375]) ).

tcf(c_14470,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_4054]) ).

tcf(c_14471,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_4053]) ).

tcf(c_14472,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2305]) ).

tcf(c_14473,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_2314]) ).

tcf(c_14474,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_2313]) ).

tcf(c_14478,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_1259]) ).

tcf(c_14479,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_2312]) ).

tcf(c_14480,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2304]) ).

tcf(c_14481,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_1165]) ).

tcf(c_14546,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_8171,c_127,c_2887,c_2958,c_8171]) ).

tcf(c_14548,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_8198]) ).

tcf(c_14549,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_8197]) ).

tcf(c_14550,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_8196]) ).

tcf(c_14551,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2487]) ).

tcf(c_14552,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_7528]) ).

tcf(c_14553,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_7527]) ).

tcf(c_14554,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_7526]) ).

tcf(c_14555,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2445]) ).

tcf(c_14556,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_6922]) ).

tcf(c_14557,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_6921]) ).

tcf(c_14558,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_6920]) ).

tcf(c_14559,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2350]) ).

tcf(c_14560,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_5744]) ).

tcf(c_14561,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_5743]) ).

tcf(c_14562,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_5742]) ).

tcf(c_14563,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2306]) ).

tcf(c_14564,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_4055]) ).

tcf(c_14565,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_3410]) ).

tcf(c_14566,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_3318]) ).

tcf(c_14567,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_2939]) ).

tcf(c_14568,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_2464]) ).

tcf(c_14569,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_2403]) ).

tcf(c_14570,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_2375]) ).

tcf(c_14571,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_4054]) ).

tcf(c_14572,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_4053]) ).

tcf(c_14573,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2305]) ).

tcf(c_14574,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_2314]) ).

tcf(c_14575,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_2313]) ).

tcf(c_14579,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_1259]) ).

tcf(c_14580,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_2312]) ).

tcf(c_14581,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2304]) ).

tcf(c_14582,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_1165]) ).

tcf(c_14658,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_8198]) ).

tcf(c_14659,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_8197]) ).

tcf(c_14660,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_8196]) ).

tcf(c_14661,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2487]) ).

tcf(c_14662,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_7528]) ).

tcf(c_14663,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_7527]) ).

tcf(c_14664,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_7526]) ).

tcf(c_14665,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2445]) ).

tcf(c_14666,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_6922]) ).

tcf(c_14667,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_6921]) ).

tcf(c_14668,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_6920]) ).

tcf(c_14669,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2350]) ).

tcf(c_14670,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_5744]) ).

tcf(c_14671,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_5743]) ).

tcf(c_14672,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_5742]) ).

tcf(c_14673,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2306]) ).

tcf(c_14674,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_4055]) ).

tcf(c_14675,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_3410]) ).

tcf(c_14676,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_3318]) ).

tcf(c_14677,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_2939]) ).

tcf(c_14678,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_2464]) ).

tcf(c_14679,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_2403]) ).

tcf(c_14680,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_2375]) ).

tcf(c_14681,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_4054]) ).

tcf(c_14682,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_4053]) ).

tcf(c_14683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2305]) ).

tcf(c_14684,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_2314]) ).

tcf(c_14685,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_2313]) ).

tcf(c_14689,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_1259]) ).

tcf(c_14690,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_2312]) ).

tcf(c_14691,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2304]) ).

tcf(c_14692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_1165]) ).

tcf(c_14787,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_8198]) ).

tcf(c_14788,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_8197]) ).

tcf(c_14789,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_8196]) ).

tcf(c_14790,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2487]) ).

tcf(c_14791,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_7528]) ).

tcf(c_14792,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_7527]) ).

tcf(c_14793,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_7526]) ).

tcf(c_14794,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2445]) ).

tcf(c_14795,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_6922]) ).

tcf(c_14796,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_6921]) ).

tcf(c_14797,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_6920]) ).

tcf(c_14798,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2350]) ).

tcf(c_14799,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_5744]) ).

tcf(c_14800,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_5743]) ).

tcf(c_14801,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_5742]) ).

tcf(c_14802,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2306]) ).

tcf(c_14803,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_4055]) ).

tcf(c_14804,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_3410]) ).

tcf(c_14805,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_3318]) ).

tcf(c_14806,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_2939]) ).

tcf(c_14807,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_2464]) ).

tcf(c_14808,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_2403]) ).

tcf(c_14809,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_2375]) ).

tcf(c_14810,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_4054]) ).

tcf(c_14811,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_4053]) ).

tcf(c_14812,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2305]) ).

tcf(c_14813,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_2314]) ).

tcf(c_14814,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_2313]) ).

tcf(c_14818,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_1259]) ).

tcf(c_14819,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_2312]) ).

tcf(c_14820,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2304]) ).

tcf(c_14821,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_1165]) ).

tcf(c_14919,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_8198]) ).

tcf(c_14920,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_8197]) ).

tcf(c_14921,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_8196]) ).

tcf(c_14922,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2487]) ).

tcf(c_14923,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_7528]) ).

tcf(c_14924,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_7527]) ).

tcf(c_14925,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_7526]) ).

tcf(c_14926,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2445]) ).

tcf(c_14927,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_6922]) ).

tcf(c_14928,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_6921]) ).

tcf(c_14929,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_6920]) ).

tcf(c_14930,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2350]) ).

tcf(c_14931,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_5744]) ).

tcf(c_14932,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_5743]) ).

tcf(c_14933,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_5742]) ).

tcf(c_14934,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2306]) ).

tcf(c_14935,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_4055]) ).

tcf(c_14936,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_3410]) ).

tcf(c_14937,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_3318]) ).

tcf(c_14938,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_2939]) ).

tcf(c_14939,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_2464]) ).

tcf(c_14940,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_2403]) ).

tcf(c_14941,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_2375]) ).

tcf(c_14942,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_4054]) ).

tcf(c_14943,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_4053]) ).

tcf(c_14944,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2305]) ).

tcf(c_14945,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_2314]) ).

tcf(c_14946,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_2313]) ).

tcf(c_14950,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_1259]) ).

tcf(c_14951,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_2312]) ).

tcf(c_14952,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2304]) ).

tcf(c_14953,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_1165]) ).

tcf(c_15103,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_4842,c_1176]) ).

tcf(c_15106,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_4844,c_1176]) ).

tcf(c_15107,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_4951,c_1176]) ).

tcf(c_15108,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_4959,c_1176]) ).

tcf(c_15130,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_4964,c_1176]) ).

tcf(c_15132,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_4966,c_1176]) ).

tcf(c_15133,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_5085,c_1176]) ).

tcf(c_15135,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_5090,c_1176]) ).

tcf(c_15136,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_5092,c_1176]) ).

tcf(c_15137,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_8191,c_127,c_123,c_2887,c_2958,c_8191]) ).

tcf(c_15139,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_8198]) ).

tcf(c_15140,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_8197]) ).

tcf(c_15141,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_8196]) ).

tcf(c_15142,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2487]) ).

tcf(c_15143,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_7528]) ).

tcf(c_15144,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_7527]) ).

tcf(c_15145,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_7526]) ).

tcf(c_15146,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2445]) ).

tcf(c_15147,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_6922]) ).

tcf(c_15148,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_6921]) ).

tcf(c_15149,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_6920]) ).

tcf(c_15150,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2350]) ).

tcf(c_15151,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_5744]) ).

tcf(c_15152,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_5743]) ).

tcf(c_15153,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_5742]) ).

tcf(c_15154,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2306]) ).

tcf(c_15155,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_4055]) ).

tcf(c_15156,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_3410]) ).

tcf(c_15157,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_3318]) ).

tcf(c_15158,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_2939]) ).

tcf(c_15159,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_2464]) ).

tcf(c_15160,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_2403]) ).

tcf(c_15161,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_2375]) ).

tcf(c_15162,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_4054]) ).

tcf(c_15163,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_4053]) ).

tcf(c_15164,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2305]) ).

tcf(c_15165,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_2314]) ).

tcf(c_15166,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_2313]) ).

tcf(c_15170,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_1259]) ).

tcf(c_15171,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_2312]) ).

tcf(c_15172,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2304]) ).

tcf(c_15173,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_1165]) ).

tcf(c_15292,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(global_subsumption_just,[status(thm)],[c_8192,c_127,c_117,c_2887,c_2958,c_8192]) ).

tcf(c_15294,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_8198]) ).

tcf(c_15295,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_8197]) ).

tcf(c_15296,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_8196]) ).

tcf(c_15297,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2487]) ).

tcf(c_15298,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_7528]) ).

tcf(c_15299,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_7527]) ).

tcf(c_15300,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_7526]) ).

tcf(c_15301,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2445]) ).

tcf(c_15302,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_6922]) ).

tcf(c_15303,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_6921]) ).

tcf(c_15304,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_6920]) ).

tcf(c_15305,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2350]) ).

tcf(c_15306,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_5744]) ).

tcf(c_15307,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_5743]) ).

tcf(c_15308,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_5742]) ).

tcf(c_15309,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2306]) ).

tcf(c_15310,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_4055]) ).

tcf(c_15311,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_3410]) ).

tcf(c_15312,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_3318]) ).

tcf(c_15313,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_2939]) ).

tcf(c_15314,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_2464]) ).

tcf(c_15315,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_2403]) ).

tcf(c_15316,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_2375]) ).

tcf(c_15317,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_4054]) ).

tcf(c_15318,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_4053]) ).

tcf(c_15319,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2305]) ).

tcf(c_15320,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_2314]) ).

tcf(c_15321,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_2313]) ).

tcf(c_15325,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_1259]) ).

tcf(c_15326,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_2312]) ).

tcf(c_15327,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2304]) ).

tcf(c_15328,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_1165]) ).

tcf(c_15491,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_5226,c_1176]) ).

tcf(c_15493,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_5228,c_1176]) ).

tcf(c_15496,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_5322,c_1176]) ).

tcf(c_15500,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_5520,c_4829]) ).

tcf(c_15503,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_5521,c_4951]) ).

tcf(c_15512,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_5535,c_1176]) ).

tcf(c_15514,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xH,xP)) ),
    inference(superposition,[status(thm)],[c_5537,c_1176]) ).

tcf(c_15566,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2349,c_5897]) ).

tcf(c_15569,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_5897,c_4842]) ).

tcf(c_15571,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2349,c_5898]) ).

tcf(c_15573,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_5898,c_4964]) ).

tcf(c_15575,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2349,c_5899]) ).

tcf(c_15577,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_5899,c_5090]) ).

tcf(c_15637,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2349,c_5907]) ).

tcf(c_15645,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_5912,c_1176]) ).

tcf(c_15646,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15645,c_127,c_117,c_3311,c_3621,c_10518]) ).

tcf(c_15650,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_8198]) ).

tcf(c_15651,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_8197]) ).

tcf(c_15652,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_8196]) ).

tcf(c_15653,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2487]) ).

tcf(c_15654,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_7528]) ).

tcf(c_15655,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_7527]) ).

tcf(c_15656,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_7526]) ).

tcf(c_15657,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2445]) ).

tcf(c_15658,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_6922]) ).

tcf(c_15659,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_6921]) ).

tcf(c_15660,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_6920]) ).

tcf(c_15661,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2350]) ).

tcf(c_15662,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_5744]) ).

tcf(c_15663,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_5743]) ).

tcf(c_15664,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_5742]) ).

tcf(c_15665,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2306]) ).

tcf(c_15666,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_4055]) ).

tcf(c_15667,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_3410]) ).

tcf(c_15668,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_3318]) ).

tcf(c_15669,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_2939]) ).

tcf(c_15670,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_2464]) ).

tcf(c_15671,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_2403]) ).

tcf(c_15672,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_2375]) ).

tcf(c_15673,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_4054]) ).

tcf(c_15674,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_4053]) ).

tcf(c_15675,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2305]) ).

tcf(c_15676,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_2314]) ).

tcf(c_15677,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_2313]) ).

tcf(c_15681,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_1259]) ).

tcf(c_15682,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_2312]) ).

tcf(c_15683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2304]) ).

tcf(c_15684,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_1165]) ).

tcf(c_15750,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_2349,c_5914]) ).

tcf(c_15755,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
    inference(superposition,[status(thm)],[c_6165,c_1176]) ).

tcf(c_15758,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
    inference(superposition,[status(thm)],[c_6166,c_1176]) ).

tcf(c_15761,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xE,xE))) ),
    inference(superposition,[status(thm)],[c_6167,c_1176]) ).

tcf(c_15771,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2444,c_6216]) ).

tcf(c_15774,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_6216,c_4844]) ).

tcf(c_15776,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2444,c_6217]) ).

tcf(c_15778,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_6217,c_4966]) ).

tcf(c_15780,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2444,c_6218]) ).

tcf(c_15782,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_6218,c_5092]) ).

tcf(c_15786,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2444,c_6226]) ).

tcf(c_15789,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_2444,c_6231]) ).

tcf(c_15792,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6231,c_5322]) ).

tcf(c_15806,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_6233,c_1176]) ).

tcf(c_15807,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_15806,c_127,c_123,c_3360,c_3630,c_11865]) ).

tcf(c_15811,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_8198]) ).

tcf(c_15812,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_8197]) ).

tcf(c_15813,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_8196]) ).

tcf(c_15814,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2487]) ).

tcf(c_15815,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_7528]) ).

tcf(c_15816,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_7527]) ).

tcf(c_15817,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_7526]) ).

tcf(c_15818,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2445]) ).

tcf(c_15819,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_6922]) ).

tcf(c_15820,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_6921]) ).

tcf(c_15821,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_6920]) ).

tcf(c_15822,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2350]) ).

tcf(c_15823,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_5744]) ).

tcf(c_15824,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_5743]) ).

tcf(c_15825,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_5742]) ).

tcf(c_15826,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2306]) ).

tcf(c_15827,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_4055]) ).

tcf(c_15828,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_3410]) ).

tcf(c_15829,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_3318]) ).

tcf(c_15830,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_2939]) ).

tcf(c_15831,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_2464]) ).

tcf(c_15832,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_2403]) ).

tcf(c_15833,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_2375]) ).

tcf(c_15834,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_4054]) ).

tcf(c_15835,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_4053]) ).

tcf(c_15836,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2305]) ).

tcf(c_15837,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_2314]) ).

tcf(c_15838,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_2313]) ).

tcf(c_15842,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_1259]) ).

tcf(c_15843,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_2312]) ).

tcf(c_15844,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2304]) ).

tcf(c_15845,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_1165]) ).

tcf(c_15939,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_6401,c_1176]) ).

tcf(c_15945,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_6402,c_1176]) ).

tcf(c_15951,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xE))) ),
    inference(superposition,[status(thm)],[c_6403,c_1176]) ).

tcf(c_15954,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_6522,c_1176]) ).

tcf(c_15971,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_6523,c_1176]) ).

tcf(c_15974,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xP,sdtasdt0(xH,xH))) ),
    inference(superposition,[status(thm)],[c_6524,c_1176]) ).

tcf(c_15978,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_6610,c_4837]) ).

tcf(c_15985,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_6611,c_4959]) ).

tcf(c_15988,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_6612,c_5085]) ).

tcf(c_15990,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_9567,c_117,c_3311,c_3628,c_9567]) ).

tcf(c_15994,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_8198]) ).

tcf(c_15995,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_8197]) ).

tcf(c_15996,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_8196]) ).

tcf(c_15997,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2487]) ).

tcf(c_15998,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_7528]) ).

tcf(c_15999,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_7527]) ).

tcf(c_16000,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_7526]) ).

tcf(c_16001,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2445]) ).

tcf(c_16002,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_6922]) ).

tcf(c_16003,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_6921]) ).

tcf(c_16004,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_6920]) ).

tcf(c_16005,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2350]) ).

tcf(c_16006,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_5744]) ).

tcf(c_16007,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_5743]) ).

tcf(c_16008,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_5742]) ).

tcf(c_16009,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2306]) ).

tcf(c_16010,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_4055]) ).

tcf(c_16011,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_3410]) ).

tcf(c_16012,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_3318]) ).

tcf(c_16013,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_2939]) ).

tcf(c_16014,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_2464]) ).

tcf(c_16015,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_2403]) ).

tcf(c_16016,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_2375]) ).

tcf(c_16017,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_4054]) ).

tcf(c_16018,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_4053]) ).

tcf(c_16019,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2305]) ).

tcf(c_16020,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_2314]) ).

tcf(c_16021,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_2313]) ).

tcf(c_16025,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_1259]) ).

tcf(c_16026,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_2312]) ).

tcf(c_16027,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2304]) ).

tcf(c_16028,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_1165]) ).

tcf(c_16171,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_9928,c_123,c_117,c_2361,c_3360,c_9928]) ).

tcf(c_16176,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_8198]) ).

tcf(c_16177,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_8197]) ).

tcf(c_16178,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_8196]) ).

tcf(c_16179,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2487]) ).

tcf(c_16180,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_7528]) ).

tcf(c_16181,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_7527]) ).

tcf(c_16182,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_7526]) ).

tcf(c_16183,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2445]) ).

tcf(c_16184,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_6922]) ).

tcf(c_16185,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_6921]) ).

tcf(c_16186,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_6920]) ).

tcf(c_16187,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2350]) ).

tcf(c_16188,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_5744]) ).

tcf(c_16189,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_5743]) ).

tcf(c_16190,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_5742]) ).

tcf(c_16191,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2306]) ).

tcf(c_16192,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_4055]) ).

tcf(c_16193,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_3410]) ).

tcf(c_16194,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_3318]) ).

tcf(c_16195,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_2939]) ).

tcf(c_16196,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_2464]) ).

tcf(c_16197,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_2403]) ).

tcf(c_16198,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_2375]) ).

tcf(c_16199,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_4054]) ).

tcf(c_16200,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_4053]) ).

tcf(c_16201,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2305]) ).

tcf(c_16202,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_2314]) ).

tcf(c_16203,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_2313]) ).

tcf(c_16207,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_1259]) ).

tcf(c_16208,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_2312]) ).

tcf(c_16209,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2304]) ).

tcf(c_16210,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_1165]) ).

tcf(c_16363,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xE)) ),
    inference(superposition,[status(thm)],[c_6625,c_1176]) ).

tcf(c_16364,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6625,c_5226]) ).

tcf(c_16367,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xH)) ),
    inference(superposition,[status(thm)],[c_6627,c_1176]) ).

tcf(c_16368,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_6627,c_5228]) ).

tcf(c_16384,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_12391,c_3171]) ).

tcf(c_16395,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1108,c_12394]) ).

tcf(c_16397,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_12394,c_3172]) ).

tcf(c_16421,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1108,c_12396]) ).

tcf(c_16423,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_12396,c_3173]) ).

tcf(c_16428,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_12398]) ).

tcf(c_16430,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_12398,c_3181]) ).

tcf(c_16434,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_1108,c_12400]) ).

tcf(c_16436,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_12400,c_1176]) ).

tcf(c_16437,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_12400,c_3314]) ).

tcf(c_16438,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_4004,c_16434]) ).

tcf(c_16480,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_9940,c_127,c_123,c_117,c_2361,c_3256,c_9940]) ).

tcf(c_16485,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_8198]) ).

tcf(c_16486,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_8197]) ).

tcf(c_16487,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_8196]) ).

tcf(c_16488,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2487]) ).

tcf(c_16489,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_7528]) ).

tcf(c_16490,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_7527]) ).

tcf(c_16491,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_7526]) ).

tcf(c_16492,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2445]) ).

tcf(c_16493,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_6922]) ).

tcf(c_16494,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_6921]) ).

tcf(c_16495,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_6920]) ).

tcf(c_16496,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2350]) ).

tcf(c_16497,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_5744]) ).

tcf(c_16498,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_5743]) ).

tcf(c_16499,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_5742]) ).

tcf(c_16500,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2306]) ).

tcf(c_16501,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_4055]) ).

tcf(c_16502,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_3410]) ).

tcf(c_16503,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_3318]) ).

tcf(c_16504,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_2939]) ).

tcf(c_16505,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_2464]) ).

tcf(c_16506,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_2403]) ).

tcf(c_16507,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_2375]) ).

tcf(c_16508,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_4054]) ).

tcf(c_16509,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_4053]) ).

tcf(c_16510,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2305]) ).

tcf(c_16511,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_2314]) ).

tcf(c_16512,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_2313]) ).

tcf(c_16516,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_1259]) ).

tcf(c_16517,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_2312]) ).

tcf(c_16518,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2304]) ).

tcf(c_16519,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_1165]) ).

tcf(c_16600,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_9944,c_123,c_117,c_2361,c_3256,c_9944]) ).

tcf(c_16605,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_8198]) ).

tcf(c_16606,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_8197]) ).

tcf(c_16607,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_8196]) ).

tcf(c_16608,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2487]) ).

tcf(c_16609,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_7528]) ).

tcf(c_16610,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_7527]) ).

tcf(c_16611,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_7526]) ).

tcf(c_16612,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2445]) ).

tcf(c_16613,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_6922]) ).

tcf(c_16614,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_6921]) ).

tcf(c_16615,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_6920]) ).

tcf(c_16616,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2350]) ).

tcf(c_16617,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_5744]) ).

tcf(c_16618,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_5743]) ).

tcf(c_16619,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_5742]) ).

tcf(c_16620,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2306]) ).

tcf(c_16621,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_4055]) ).

tcf(c_16622,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_3410]) ).

tcf(c_16623,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_3318]) ).

tcf(c_16624,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_2939]) ).

tcf(c_16625,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_2464]) ).

tcf(c_16626,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_2403]) ).

tcf(c_16627,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_2375]) ).

tcf(c_16628,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_4054]) ).

tcf(c_16629,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_4053]) ).

tcf(c_16630,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2305]) ).

tcf(c_16631,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_2314]) ).

tcf(c_16632,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_2313]) ).

tcf(c_16636,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_1259]) ).

tcf(c_16637,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_2312]) ).

tcf(c_16638,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2304]) ).

tcf(c_16639,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_1165]) ).

tcf(c_16777,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_9948,c_123,c_117,c_2361,c_3256,c_9948]) ).

tcf(c_16782,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_8198]) ).

tcf(c_16783,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_8197]) ).

tcf(c_16784,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_8196]) ).

tcf(c_16785,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2487]) ).

tcf(c_16786,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_7528]) ).

tcf(c_16787,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_7527]) ).

tcf(c_16788,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_7526]) ).

tcf(c_16789,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2445]) ).

tcf(c_16790,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_6922]) ).

tcf(c_16791,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_6921]) ).

tcf(c_16792,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_6920]) ).

tcf(c_16793,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2350]) ).

tcf(c_16794,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_5744]) ).

tcf(c_16795,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_5743]) ).

tcf(c_16796,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_5742]) ).

tcf(c_16797,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2306]) ).

tcf(c_16798,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_4055]) ).

tcf(c_16799,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_3410]) ).

tcf(c_16800,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_3318]) ).

tcf(c_16801,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_2939]) ).

tcf(c_16802,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_2464]) ).

tcf(c_16803,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_2403]) ).

tcf(c_16804,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_2375]) ).

tcf(c_16805,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_4054]) ).

tcf(c_16806,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_4053]) ).

tcf(c_16807,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2305]) ).

tcf(c_16808,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_2314]) ).

tcf(c_16809,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_2313]) ).

tcf(c_16813,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_1259]) ).

tcf(c_16814,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_2312]) ).

tcf(c_16815,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2304]) ).

tcf(c_16816,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_1165]) ).

tcf(c_16874,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_1108,c_13524]) ).

tcf(c_16877,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_13524,c_3406]) ).

tcf(c_16928,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_4493,c_16874]) ).

tcf(c_16942,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_14189,c_12394]) ).

tcf(c_16943,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_14189,c_3172]) ).

tcf(c_16948,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15500,c_12396]) ).

tcf(c_16949,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15500,c_3173]) ).

tcf(c_16952,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15503,c_3842]) ).

tcf(c_16962,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15566,c_4828]) ).

tcf(c_16963,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15566,c_3840]) ).

tcf(c_16969,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15569,c_12400]) ).

tcf(c_16970,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15569,c_3314]) ).

tcf(c_16973,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15571,c_3841]) ).

tcf(c_16982,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15573,c_3855]) ).

tcf(c_16986,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15575,c_15503]) ).

tcf(c_16987,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15575,c_3842]) ).

tcf(c_16989,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2349,c_15577]) ).

tcf(c_16991,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15577,c_5535]) ).

tcf(c_16992,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_9952,c_127,c_3311,c_3469,c_9952]) ).

tcf(c_16997,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_8198]) ).

tcf(c_16998,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_8197]) ).

tcf(c_16999,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_8196]) ).

tcf(c_17000,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2487]) ).

tcf(c_17001,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_7528]) ).

tcf(c_17002,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_7527]) ).

tcf(c_17003,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_7526]) ).

tcf(c_17004,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2445]) ).

tcf(c_17005,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_6922]) ).

tcf(c_17006,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_6921]) ).

tcf(c_17007,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_6920]) ).

tcf(c_17008,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2350]) ).

tcf(c_17009,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_5744]) ).

tcf(c_17010,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_5743]) ).

tcf(c_17011,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_5742]) ).

tcf(c_17012,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2306]) ).

tcf(c_17013,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_4055]) ).

tcf(c_17014,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_3410]) ).

tcf(c_17015,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_3318]) ).

tcf(c_17016,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_2939]) ).

tcf(c_17017,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_2464]) ).

tcf(c_17018,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_2403]) ).

tcf(c_17019,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_2375]) ).

tcf(c_17020,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_4054]) ).

tcf(c_17021,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_4053]) ).

tcf(c_17022,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2305]) ).

tcf(c_17023,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_2314]) ).

tcf(c_17024,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_2313]) ).

tcf(c_17028,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_1259]) ).

tcf(c_17029,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_2312]) ).

tcf(c_17030,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2304]) ).

tcf(c_17031,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_1165]) ).

tcf(c_17085,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_9956,c_127,c_123,c_3311,c_3469,c_9956]) ).

tcf(c_17090,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_8198]) ).

tcf(c_17091,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_8197]) ).

tcf(c_17092,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_8196]) ).

tcf(c_17093,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2487]) ).

tcf(c_17094,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_7528]) ).

tcf(c_17095,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_7527]) ).

tcf(c_17096,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_7526]) ).

tcf(c_17097,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2445]) ).

tcf(c_17098,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_6922]) ).

tcf(c_17099,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_6921]) ).

tcf(c_17100,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_6920]) ).

tcf(c_17101,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2350]) ).

tcf(c_17102,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_5744]) ).

tcf(c_17103,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_5743]) ).

tcf(c_17104,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_5742]) ).

tcf(c_17105,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2306]) ).

tcf(c_17106,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_4055]) ).

tcf(c_17107,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_3410]) ).

tcf(c_17108,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_3318]) ).

tcf(c_17109,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_2939]) ).

tcf(c_17110,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_2464]) ).

tcf(c_17111,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_2403]) ).

tcf(c_17112,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_2375]) ).

tcf(c_17113,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_4054]) ).

tcf(c_17114,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_4053]) ).

tcf(c_17115,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2305]) ).

tcf(c_17116,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_2314]) ).

tcf(c_17117,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_2313]) ).

tcf(c_17121,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_1259]) ).

tcf(c_17122,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_2312]) ).

tcf(c_17123,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2304]) ).

tcf(c_17124,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_1165]) ).

tcf(c_17267,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_10487,c_127,c_117,c_3311,c_3469,c_10487]) ).

tcf(c_17272,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_8198]) ).

tcf(c_17273,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_8197]) ).

tcf(c_17274,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_8196]) ).

tcf(c_17275,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2487]) ).

tcf(c_17276,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_7528]) ).

tcf(c_17277,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_7527]) ).

tcf(c_17278,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_7526]) ).

tcf(c_17279,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2445]) ).

tcf(c_17280,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_6922]) ).

tcf(c_17281,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_6921]) ).

tcf(c_17282,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_6920]) ).

tcf(c_17283,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2350]) ).

tcf(c_17284,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_5744]) ).

tcf(c_17285,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_5743]) ).

tcf(c_17286,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_5742]) ).

tcf(c_17287,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2306]) ).

tcf(c_17288,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_4055]) ).

tcf(c_17289,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_3410]) ).

tcf(c_17290,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_3318]) ).

tcf(c_17291,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_2939]) ).

tcf(c_17292,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_2464]) ).

tcf(c_17293,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_2403]) ).

tcf(c_17294,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_2375]) ).

tcf(c_17295,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_4054]) ).

tcf(c_17296,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_4053]) ).

tcf(c_17297,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2305]) ).

tcf(c_17298,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_2314]) ).

tcf(c_17299,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_2313]) ).

tcf(c_17303,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_1259]) ).

tcf(c_17304,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_2312]) ).

tcf(c_17305,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2304]) ).

tcf(c_17306,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_1165]) ).

tcf(c_17365,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_15637,c_3850]) ).

tcf(c_17369,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_15750,c_3857]) ).

tcf(c_17374,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15771,c_5520]) ).

tcf(c_17375,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15771,c_4829]) ).

tcf(c_17393,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15774,c_13524]) ).

tcf(c_17394,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15774,c_3406]) ).

tcf(c_17398,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15776,c_5521]) ).

tcf(c_17399,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15776,c_4951]) ).

tcf(c_17404,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15778,c_15750]) ).

tcf(c_17405,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15778,c_3857]) ).

tcf(c_17408,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15780,c_5522]) ).

tcf(c_17412,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15782,c_5537]) ).

tcf(c_17415,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_15786,c_5530]) ).

tcf(c_17434,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_15789,c_15577]) ).

tcf(c_17435,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_15789,c_5535]) ).

tcf(c_17438,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_2444,c_15792]) ).

tcf(c_17440,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_15792,c_5914]) ).

tcf(c_17444,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15978,c_12398]) ).

tcf(c_17445,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_15978,c_3181]) ).

tcf(c_17452,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_10548,c_123,c_117,c_3311,c_3621,c_10548]) ).

tcf(c_17457,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_8198]) ).

tcf(c_17458,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_8197]) ).

tcf(c_17459,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_8196]) ).

tcf(c_17460,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2487]) ).

tcf(c_17461,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_7528]) ).

tcf(c_17462,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_7527]) ).

tcf(c_17463,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_7526]) ).

tcf(c_17464,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2445]) ).

tcf(c_17465,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_6922]) ).

tcf(c_17466,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_6921]) ).

tcf(c_17467,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_6920]) ).

tcf(c_17468,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2350]) ).

tcf(c_17469,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_5744]) ).

tcf(c_17470,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_5743]) ).

tcf(c_17471,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_5742]) ).

tcf(c_17472,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2306]) ).

tcf(c_17473,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_4055]) ).

tcf(c_17474,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_3410]) ).

tcf(c_17475,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_3318]) ).

tcf(c_17476,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_2939]) ).

tcf(c_17477,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_2464]) ).

tcf(c_17478,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_2403]) ).

tcf(c_17479,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_2375]) ).

tcf(c_17480,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_4054]) ).

tcf(c_17481,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_4053]) ).

tcf(c_17482,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2305]) ).

tcf(c_17483,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_2314]) ).

tcf(c_17484,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_2313]) ).

tcf(c_17488,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_1259]) ).

tcf(c_17489,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_2312]) ).

tcf(c_17490,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2304]) ).

tcf(c_17491,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_1165]) ).

tcf(c_17618,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15985,c_15637]) ).

tcf(c_17619,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_15985,c_3850]) ).

tcf(c_17623,plain,
    sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15988,c_15786]) ).

tcf(c_17624,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_15988,c_5530]) ).

tcf(c_17628,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_16364,c_5907]) ).

tcf(c_17643,plain,
    sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_16368,c_6226]) ).

tcf(c_17644,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3269,c_16384]) ).

tcf(c_17648,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3277,c_17644]) ).

tcf(c_17664,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_3304,c_16423]) ).

tcf(c_17680,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4004,c_16437]) ).

tcf(c_17687,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_10555,c_127,c_3360,c_3623,c_10555]) ).

tcf(c_17692,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_8198]) ).

tcf(c_17693,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_8197]) ).

tcf(c_17694,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_8196]) ).

tcf(c_17695,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2487]) ).

tcf(c_17696,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_7528]) ).

tcf(c_17697,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_7527]) ).

tcf(c_17698,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_7526]) ).

tcf(c_17699,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2445]) ).

tcf(c_17700,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_6922]) ).

tcf(c_17701,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_6921]) ).

tcf(c_17702,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_6920]) ).

tcf(c_17703,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2350]) ).

tcf(c_17704,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_5744]) ).

tcf(c_17705,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_5743]) ).

tcf(c_17706,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_5742]) ).

tcf(c_17707,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2306]) ).

tcf(c_17708,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_4055]) ).

tcf(c_17709,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_3410]) ).

tcf(c_17710,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_3318]) ).

tcf(c_17711,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_2939]) ).

tcf(c_17712,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_2464]) ).

tcf(c_17713,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_2403]) ).

tcf(c_17714,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_2375]) ).

tcf(c_17715,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_4054]) ).

tcf(c_17716,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_4053]) ).

tcf(c_17717,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2305]) ).

tcf(c_17718,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_2314]) ).

tcf(c_17719,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_2313]) ).

tcf(c_17723,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_1259]) ).

tcf(c_17724,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_2312]) ).

tcf(c_17725,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2304]) ).

tcf(c_17726,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_1165]) ).

tcf(c_17783,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_10564,c_127,c_123,c_3360,c_3623,c_10564]) ).

tcf(c_17788,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_8198]) ).

tcf(c_17789,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_8197]) ).

tcf(c_17790,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_8196]) ).

tcf(c_17791,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2487]) ).

tcf(c_17792,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_7528]) ).

tcf(c_17793,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_7527]) ).

tcf(c_17794,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_7526]) ).

tcf(c_17795,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2445]) ).

tcf(c_17796,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_6922]) ).

tcf(c_17797,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_6921]) ).

tcf(c_17798,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_6920]) ).

tcf(c_17799,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2350]) ).

tcf(c_17800,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_5744]) ).

tcf(c_17801,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_5743]) ).

tcf(c_17802,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_5742]) ).

tcf(c_17803,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2306]) ).

tcf(c_17804,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_4055]) ).

tcf(c_17805,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_3410]) ).

tcf(c_17806,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_3318]) ).

tcf(c_17807,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_2939]) ).

tcf(c_17808,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_2464]) ).

tcf(c_17809,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_2403]) ).

tcf(c_17810,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_2375]) ).

tcf(c_17811,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_4054]) ).

tcf(c_17812,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_4053]) ).

tcf(c_17813,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2305]) ).

tcf(c_17814,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_2314]) ).

tcf(c_17815,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_2313]) ).

tcf(c_17819,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_1259]) ).

tcf(c_17820,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_2312]) ).

tcf(c_17821,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2304]) ).

tcf(c_17822,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_1165]) ).

tcf(c_17879,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_10568,c_127,c_117,c_3360,c_3623,c_10568]) ).

tcf(c_17884,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_8198]) ).

tcf(c_17885,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_8197]) ).

tcf(c_17886,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_8196]) ).

tcf(c_17887,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2487]) ).

tcf(c_17888,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_7528]) ).

tcf(c_17889,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_7527]) ).

tcf(c_17890,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_7526]) ).

tcf(c_17891,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2445]) ).

tcf(c_17892,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_6922]) ).

tcf(c_17893,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_6921]) ).

tcf(c_17894,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_6920]) ).

tcf(c_17895,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2350]) ).

tcf(c_17896,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_5744]) ).

tcf(c_17897,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_5743]) ).

tcf(c_17898,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_5742]) ).

tcf(c_17899,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2306]) ).

tcf(c_17900,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_4055]) ).

tcf(c_17901,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_3410]) ).

tcf(c_17902,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_3318]) ).

tcf(c_17903,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_2939]) ).

tcf(c_17904,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_2464]) ).

tcf(c_17905,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_2403]) ).

tcf(c_17906,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_2375]) ).

tcf(c_17907,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_4054]) ).

tcf(c_17908,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_4053]) ).

tcf(c_17909,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2305]) ).

tcf(c_17910,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_2314]) ).

tcf(c_17911,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_2313]) ).

tcf(c_17915,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_1259]) ).

tcf(c_17916,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_2312]) ).

tcf(c_17917,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2304]) ).

tcf(c_17918,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_1165]) ).

tcf(c_17968,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_4493,c_16877]) ).

tcf(c_17969,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_4476,c_16877]) ).

tcf(c_17985,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_16942,c_16438]) ).

tcf(c_17986,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_16942,c_16395]) ).

tcf(c_17997,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_6056,c_17986]) ).

tcf(c_18015,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_6086,c_16943]) ).

tcf(c_18016,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_16943]) ).

tcf(c_18017,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_3306,c_16943]) ).

tcf(c_18018,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_16943]) ).

tcf(c_18035,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_4472,c_18018]) ).

tcf(c_18036,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_4049,c_18018]) ).

tcf(c_18066,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_6086,c_16948]) ).

tcf(c_18067,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_16948]) ).

tcf(c_18068,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4473,c_16948]) ).

tcf(c_18069,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_16948]) ).

tcf(c_18094,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_11868,c_123,c_3360,c_3630,c_11868]) ).

tcf(c_18098,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_8198]) ).

tcf(c_18099,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_8197]) ).

tcf(c_18100,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_8196]) ).

tcf(c_18101,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2487]) ).

tcf(c_18102,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_7528]) ).

tcf(c_18103,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_7527]) ).

tcf(c_18104,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_7526]) ).

tcf(c_18105,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2445]) ).

tcf(c_18106,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_6922]) ).

tcf(c_18107,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_6921]) ).

tcf(c_18108,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_6920]) ).

tcf(c_18109,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2350]) ).

tcf(c_18110,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_5744]) ).

tcf(c_18111,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_5743]) ).

tcf(c_18112,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_5742]) ).

tcf(c_18113,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2306]) ).

tcf(c_18114,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_4055]) ).

tcf(c_18115,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_3410]) ).

tcf(c_18116,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_3318]) ).

tcf(c_18117,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_2939]) ).

tcf(c_18118,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_2464]) ).

tcf(c_18119,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_2403]) ).

tcf(c_18120,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_2375]) ).

tcf(c_18121,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_4054]) ).

tcf(c_18122,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_4053]) ).

tcf(c_18123,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2305]) ).

tcf(c_18124,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_2314]) ).

tcf(c_18125,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_2313]) ).

tcf(c_18129,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_1259]) ).

tcf(c_18130,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_2312]) ).

tcf(c_18131,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2304]) ).

tcf(c_18132,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_1165]) ).

tcf(c_18199,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_6086,c_16949]) ).

tcf(c_18200,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_16949]) ).

tcf(c_18201,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4473,c_16949]) ).

tcf(c_18209,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_4052,c_16952]) ).

tcf(c_18223,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_16962,c_12394]) ).

tcf(c_18224,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_16962,c_3172]) ).

tcf(c_18234,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1108,c_16969]) ).

tcf(c_18236,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_16969,c_16963]) ).

tcf(c_18278,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_16970,c_16963]) ).

tcf(c_18289,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_16982,c_16973]) ).

tcf(c_18300,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_3304,c_16986]) ).

tcf(c_18312,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_18300,c_16952]) ).

tcf(c_18345,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_16989,c_15776]) ).

tcf(c_18350,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_3304,c_16991]) ).

tcf(c_18352,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_16991,c_16987]) ).

tcf(c_18353,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_16991,c_16986]) ).

tcf(c_18388,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_4493,c_17369]) ).

tcf(c_18389,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_4476,c_17369]) ).

tcf(c_18447,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3277,c_17374]) ).

tcf(c_18456,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_17375,c_12396]) ).

tcf(c_18457,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_17375,c_3173]) ).

tcf(c_18547,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3277,c_17393]) ).

tcf(c_18548,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1108,c_17393]) ).

tcf(c_18550,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_17393,c_17374]) ).

tcf(c_18558,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_18548,c_16877]) ).

tcf(c_18573,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_13530,c_127,c_123,c_117,c_4371,c_4422,c_13530]) ).

tcf(c_18578,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_8198]) ).

tcf(c_18579,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_8197]) ).

tcf(c_18580,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_8196]) ).

tcf(c_18581,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2487]) ).

tcf(c_18582,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_7528]) ).

tcf(c_18583,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_7527]) ).

tcf(c_18584,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_7526]) ).

tcf(c_18585,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2445]) ).

tcf(c_18586,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_6922]) ).

tcf(c_18587,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_6921]) ).

tcf(c_18588,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_6920]) ).

tcf(c_18589,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2350]) ).

tcf(c_18590,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_5744]) ).

tcf(c_18591,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_5743]) ).

tcf(c_18592,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_5742]) ).

tcf(c_18593,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2306]) ).

tcf(c_18594,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_4055]) ).

tcf(c_18595,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_3410]) ).

tcf(c_18596,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_3318]) ).

tcf(c_18597,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_2939]) ).

tcf(c_18598,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_2464]) ).

tcf(c_18599,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_2403]) ).

tcf(c_18600,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_2375]) ).

tcf(c_18601,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_4054]) ).

tcf(c_18602,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_4053]) ).

tcf(c_18603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2305]) ).

tcf(c_18604,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_2314]) ).

tcf(c_18605,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_2313]) ).

tcf(c_18609,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_1259]) ).

tcf(c_18610,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_2312]) ).

tcf(c_18611,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2304]) ).

tcf(c_18612,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_1165]) ).

tcf(c_18663,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_13534,c_123,c_117,c_4371,c_4422,c_13534]) ).

tcf(c_18668,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_8198]) ).

tcf(c_18669,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_8197]) ).

tcf(c_18670,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_8196]) ).

tcf(c_18671,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2487]) ).

tcf(c_18672,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_7528]) ).

tcf(c_18673,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_7527]) ).

tcf(c_18674,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_7526]) ).

tcf(c_18675,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2445]) ).

tcf(c_18676,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_6922]) ).

tcf(c_18677,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_6921]) ).

tcf(c_18678,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_6920]) ).

tcf(c_18679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2350]) ).

tcf(c_18680,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_5744]) ).

tcf(c_18681,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_5743]) ).

tcf(c_18682,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_5742]) ).

tcf(c_18683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2306]) ).

tcf(c_18684,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_4055]) ).

tcf(c_18685,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_3410]) ).

tcf(c_18686,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_3318]) ).

tcf(c_18687,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_2939]) ).

tcf(c_18688,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_2464]) ).

tcf(c_18689,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_2403]) ).

tcf(c_18690,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_2375]) ).

tcf(c_18691,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_4054]) ).

tcf(c_18692,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_4053]) ).

tcf(c_18693,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2305]) ).

tcf(c_18694,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_2314]) ).

tcf(c_18695,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_2313]) ).

tcf(c_18699,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_1259]) ).

tcf(c_18700,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_2312]) ).

tcf(c_18701,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2304]) ).

tcf(c_18702,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_1165]) ).

tcf(c_18766,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3277,c_17394]) ).

tcf(c_18770,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_17394,c_17374]) ).

tcf(c_18780,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_4049,c_17398]) ).

tcf(c_18789,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_17399,c_3842]) ).

tcf(c_18791,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_4472,c_17404]) ).

tcf(c_18792,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_4470,c_17404]) ).

tcf(c_18803,plain,
    sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_4493,c_18792]) ).

tcf(c_18823,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_17405,c_17398]) ).

tcf(c_18835,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_17412,c_17408]) ).

tcf(c_18846,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_6122,c_17435]) ).

tcf(c_18847,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_6092,c_17435]) ).

tcf(c_18854,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_13538,c_123,c_117,c_4371,c_4422,c_13538]) ).

tcf(c_18859,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_8198]) ).

tcf(c_18860,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_8197]) ).

tcf(c_18861,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_8196]) ).

tcf(c_18862,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2487]) ).

tcf(c_18863,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_7528]) ).

tcf(c_18864,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_7527]) ).

tcf(c_18865,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_7526]) ).

tcf(c_18866,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2445]) ).

tcf(c_18867,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_6922]) ).

tcf(c_18868,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_6921]) ).

tcf(c_18869,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_6920]) ).

tcf(c_18870,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2350]) ).

tcf(c_18871,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_5744]) ).

tcf(c_18872,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_5743]) ).

tcf(c_18873,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_5742]) ).

tcf(c_18874,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2306]) ).

tcf(c_18875,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_4055]) ).

tcf(c_18876,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_3410]) ).

tcf(c_18877,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_3318]) ).

tcf(c_18878,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_2939]) ).

tcf(c_18879,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_2464]) ).

tcf(c_18880,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_2403]) ).

tcf(c_18881,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_2375]) ).

tcf(c_18882,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_4054]) ).

tcf(c_18883,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_4053]) ).

tcf(c_18884,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2305]) ).

tcf(c_18885,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_2314]) ).

tcf(c_18886,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_2313]) ).

tcf(c_18890,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_1259]) ).

tcf(c_18891,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_2312]) ).

tcf(c_18892,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2304]) ).

tcf(c_18893,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_1165]) ).

tcf(c_18992,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_14159,c_127,c_123,c_117,c_3619,c_4689,c_14159]) ).

tcf(c_18997,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_8198]) ).

tcf(c_18998,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_8197]) ).

tcf(c_18999,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_8196]) ).

tcf(c_19000,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2487]) ).

tcf(c_19001,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_7528]) ).

tcf(c_19002,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_7527]) ).

tcf(c_19003,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_7526]) ).

tcf(c_19004,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2445]) ).

tcf(c_19005,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_6922]) ).

tcf(c_19006,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_6921]) ).

tcf(c_19007,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_6920]) ).

tcf(c_19008,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2350]) ).

tcf(c_19009,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_5744]) ).

tcf(c_19010,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_5743]) ).

tcf(c_19011,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_5742]) ).

tcf(c_19012,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2306]) ).

tcf(c_19013,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_4055]) ).

tcf(c_19014,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_3410]) ).

tcf(c_19015,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_3318]) ).

tcf(c_19016,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_2939]) ).

tcf(c_19017,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_2464]) ).

tcf(c_19018,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_2403]) ).

tcf(c_19019,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_2375]) ).

tcf(c_19020,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_4054]) ).

tcf(c_19021,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_4053]) ).

tcf(c_19022,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2305]) ).

tcf(c_19023,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_2314]) ).

tcf(c_19024,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_2313]) ).

tcf(c_19028,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_1259]) ).

tcf(c_19029,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_2312]) ).

tcf(c_19030,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2304]) ).

tcf(c_19031,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_1165]) ).

tcf(c_19145,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_6086,c_17444]) ).

tcf(c_19146,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_17444]) ).

tcf(c_19147,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4473,c_17444]) ).

tcf(c_19148,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_3306,c_17444]) ).

tcf(c_19166,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_6086,c_17445]) ).

tcf(c_19167,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_17445]) ).

tcf(c_19168,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4473,c_17445]) ).

tcf(c_19169,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_3306,c_17445]) ).

tcf(c_19213,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_17968,c_16423]) ).

tcf(c_19230,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_14163,c_123,c_117,c_3619,c_4689,c_14163]) ).

tcf(c_19235,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_8198]) ).

tcf(c_19236,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_8197]) ).

tcf(c_19237,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_8196]) ).

tcf(c_19238,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2487]) ).

tcf(c_19239,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_7528]) ).

tcf(c_19240,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_7527]) ).

tcf(c_19241,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_7526]) ).

tcf(c_19242,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2445]) ).

tcf(c_19243,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_6922]) ).

tcf(c_19244,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_6921]) ).

tcf(c_19245,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_6920]) ).

tcf(c_19246,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2350]) ).

tcf(c_19247,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_5744]) ).

tcf(c_19248,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_5743]) ).

tcf(c_19249,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_5742]) ).

tcf(c_19250,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2306]) ).

tcf(c_19251,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_4055]) ).

tcf(c_19252,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_3410]) ).

tcf(c_19253,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_3318]) ).

tcf(c_19254,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_2939]) ).

tcf(c_19255,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_2464]) ).

tcf(c_19256,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_2403]) ).

tcf(c_19257,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_2375]) ).

tcf(c_19258,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_4054]) ).

tcf(c_19259,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_4053]) ).

tcf(c_19260,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2305]) ).

tcf(c_19261,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_2314]) ).

tcf(c_19262,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_2313]) ).

tcf(c_19266,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_1259]) ).

tcf(c_19267,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_2312]) ).

tcf(c_19268,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2304]) ).

tcf(c_19269,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_1165]) ).

tcf(c_19368,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_14167,c_123,c_117,c_3619,c_4689,c_14167]) ).

tcf(c_19373,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_8198]) ).

tcf(c_19374,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_8197]) ).

tcf(c_19375,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_8196]) ).

tcf(c_19376,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2487]) ).

tcf(c_19377,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_7528]) ).

tcf(c_19378,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_7527]) ).

tcf(c_19379,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_7526]) ).

tcf(c_19380,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2445]) ).

tcf(c_19381,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_6922]) ).

tcf(c_19382,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_6921]) ).

tcf(c_19383,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_6920]) ).

tcf(c_19384,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2350]) ).

tcf(c_19385,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_5744]) ).

tcf(c_19386,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_5743]) ).

tcf(c_19387,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_5742]) ).

tcf(c_19388,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2306]) ).

tcf(c_19389,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_4055]) ).

tcf(c_19390,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_3410]) ).

tcf(c_19391,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_3318]) ).

tcf(c_19392,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_2939]) ).

tcf(c_19393,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_2464]) ).

tcf(c_19394,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_2403]) ).

tcf(c_19395,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_2375]) ).

tcf(c_19396,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_4054]) ).

tcf(c_19397,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_4053]) ).

tcf(c_19398,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2305]) ).

tcf(c_19399,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_2314]) ).

tcf(c_19400,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_2313]) ).

tcf(c_19404,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_1259]) ).

tcf(c_19405,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_2312]) ).

tcf(c_19406,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2304]) ).

tcf(c_19407,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_1165]) ).

tcf(c_19540,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_14168,c_127,c_123,c_3619,c_4708,c_14168]) ).

tcf(c_19542,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_8198]) ).

tcf(c_19543,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_8197]) ).

tcf(c_19544,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_8196]) ).

tcf(c_19545,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2487]) ).

tcf(c_19546,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_7528]) ).

tcf(c_19547,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_7527]) ).

tcf(c_19548,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_7526]) ).

tcf(c_19549,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2445]) ).

tcf(c_19550,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_6922]) ).

tcf(c_19551,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_6921]) ).

tcf(c_19552,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_6920]) ).

tcf(c_19553,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2350]) ).

tcf(c_19554,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_5744]) ).

tcf(c_19555,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_5743]) ).

tcf(c_19556,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_5742]) ).

tcf(c_19557,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2306]) ).

tcf(c_19558,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_4055]) ).

tcf(c_19559,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_3410]) ).

tcf(c_19560,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_3318]) ).

tcf(c_19561,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_2939]) ).

tcf(c_19562,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_2464]) ).

tcf(c_19563,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_2403]) ).

tcf(c_19564,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_2375]) ).

tcf(c_19565,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_4054]) ).

tcf(c_19566,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_4053]) ).

tcf(c_19567,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2305]) ).

tcf(c_19568,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_2314]) ).

tcf(c_19569,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_2313]) ).

tcf(c_19573,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_1259]) ).

tcf(c_19574,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_2312]) ).

tcf(c_19575,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2304]) ).

tcf(c_19576,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_1165]) ).

tcf(c_19670,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_14184,c_123,c_3619,c_4708,c_14184]) ).

tcf(c_19672,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_8198]) ).

tcf(c_19673,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_8197]) ).

tcf(c_19674,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_8196]) ).

tcf(c_19675,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2487]) ).

tcf(c_19676,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_7528]) ).

tcf(c_19677,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_7527]) ).

tcf(c_19678,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_7526]) ).

tcf(c_19679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2445]) ).

tcf(c_19680,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_6922]) ).

tcf(c_19681,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_6921]) ).

tcf(c_19682,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_6920]) ).

tcf(c_19683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2350]) ).

tcf(c_19684,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_5744]) ).

tcf(c_19685,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_5743]) ).

tcf(c_19686,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_5742]) ).

tcf(c_19687,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2306]) ).

tcf(c_19688,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_4055]) ).

tcf(c_19689,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_3410]) ).

tcf(c_19690,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_3318]) ).

tcf(c_19691,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_2939]) ).

tcf(c_19692,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_2464]) ).

tcf(c_19693,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_2403]) ).

tcf(c_19694,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_2375]) ).

tcf(c_19695,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_4054]) ).

tcf(c_19696,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_4053]) ).

tcf(c_19697,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2305]) ).

tcf(c_19698,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_2314]) ).

tcf(c_19699,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_2313]) ).

tcf(c_19703,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_1259]) ).

tcf(c_19704,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_2312]) ).

tcf(c_19705,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2304]) ).

tcf(c_19706,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_1165]) ).

tcf(c_19858,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_4472,c_18015]) ).

tcf(c_19937,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_18209,c_16430]) ).

tcf(c_19947,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_18223,c_16969]) ).

tcf(c_19964,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_18224,c_16969]) ).

tcf(c_19967,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_14185,c_123,c_117,c_3619,c_4708,c_14185]) ).

tcf(c_19969,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_8198]) ).

tcf(c_19970,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_8197]) ).

tcf(c_19971,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_8196]) ).

tcf(c_19972,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2487]) ).

tcf(c_19973,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_7528]) ).

tcf(c_19974,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_7527]) ).

tcf(c_19975,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_7526]) ).

tcf(c_19976,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2445]) ).

tcf(c_19977,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_6922]) ).

tcf(c_19978,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_6921]) ).

tcf(c_19979,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_6920]) ).

tcf(c_19980,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2350]) ).

tcf(c_19981,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_5744]) ).

tcf(c_19982,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_5743]) ).

tcf(c_19983,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_5742]) ).

tcf(c_19984,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2306]) ).

tcf(c_19985,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_4055]) ).

tcf(c_19986,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_3410]) ).

tcf(c_19987,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_3318]) ).

tcf(c_19988,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_2939]) ).

tcf(c_19989,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_2464]) ).

tcf(c_19990,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_2403]) ).

tcf(c_19991,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_2375]) ).

tcf(c_19992,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_4054]) ).

tcf(c_19993,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_4053]) ).

tcf(c_19994,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2305]) ).

tcf(c_19995,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_2314]) ).

tcf(c_19996,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_2313]) ).

tcf(c_20000,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_1259]) ).

tcf(c_20001,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_2312]) ).

tcf(c_20002,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2304]) ).

tcf(c_20003,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_1165]) ).

tcf(c_20046,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(global_subsumption_just,[status(thm)],[c_14188,c_127,c_123,c_117,c_2361,c_2370,c_14188]) ).

tcf(c_20053,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_8198]) ).

tcf(c_20054,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_8197]) ).

tcf(c_20055,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_8196]) ).

tcf(c_20056,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2487]) ).

tcf(c_20057,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_7528]) ).

tcf(c_20058,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_7527]) ).

tcf(c_20059,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_7526]) ).

tcf(c_20060,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2445]) ).

tcf(c_20061,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_6922]) ).

tcf(c_20062,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_6921]) ).

tcf(c_20063,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_6920]) ).

tcf(c_20064,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2350]) ).

tcf(c_20065,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_5744]) ).

tcf(c_20066,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_5743]) ).

tcf(c_20067,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_5742]) ).

tcf(c_20068,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2306]) ).

tcf(c_20069,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_4055]) ).

tcf(c_20070,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_3410]) ).

tcf(c_20071,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_3318]) ).

tcf(c_20072,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2939]) ).

tcf(c_20073,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2464]) ).

tcf(c_20074,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2403]) ).

tcf(c_20075,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2375]) ).

tcf(c_20076,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_4054]) ).

tcf(c_20077,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_4053]) ).

tcf(c_20078,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2305]) ).

tcf(c_20079,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_2314]) ).

tcf(c_20080,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_2313]) ).

tcf(c_20081,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2342]) ).

tcf(c_20082,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2341]) ).

tcf(c_20083,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_2340]) ).

tcf(c_20084,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_1259]) ).

tcf(c_20085,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_2312]) ).

tcf(c_20086,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2304]) ).

tcf(c_20087,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_1165]) ).

tcf(c_20472,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_14191,c_127,c_123,c_117,c_2361,c_2459,c_14191]) ).

tcf(c_20479,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_8198]) ).

tcf(c_20480,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_8197]) ).

tcf(c_20481,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_8196]) ).

tcf(c_20482,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2487]) ).

tcf(c_20483,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_7528]) ).

tcf(c_20484,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_7527]) ).

tcf(c_20485,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_7526]) ).

tcf(c_20486,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2445]) ).

tcf(c_20487,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_6922]) ).

tcf(c_20488,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_6921]) ).

tcf(c_20489,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_6920]) ).

tcf(c_20490,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2350]) ).

tcf(c_20491,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_5744]) ).

tcf(c_20492,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_5743]) ).

tcf(c_20493,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_5742]) ).

tcf(c_20494,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2306]) ).

tcf(c_20495,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_4055]) ).

tcf(c_20496,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_3410]) ).

tcf(c_20497,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_3318]) ).

tcf(c_20498,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2939]) ).

tcf(c_20499,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2464]) ).

tcf(c_20500,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2403]) ).

tcf(c_20501,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2375]) ).

tcf(c_20502,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_4054]) ).

tcf(c_20503,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_4053]) ).

tcf(c_20504,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2305]) ).

tcf(c_20505,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_2314]) ).

tcf(c_20506,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_2313]) ).

tcf(c_20507,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2342]) ).

tcf(c_20508,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2341]) ).

tcf(c_20509,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_2340]) ).

tcf(c_20510,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_1259]) ).

tcf(c_20511,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_2312]) ).

tcf(c_20512,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2304]) ).

tcf(c_20513,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_1165]) ).

tcf(c_20682,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_14193,c_123,c_117,c_2361,c_2887,c_14193]) ).

tcf(c_20688,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_8198]) ).

tcf(c_20689,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_8197]) ).

tcf(c_20690,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_8196]) ).

tcf(c_20691,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2487]) ).

tcf(c_20692,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_7528]) ).

tcf(c_20693,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_7527]) ).

tcf(c_20694,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_7526]) ).

tcf(c_20695,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2445]) ).

tcf(c_20696,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_6922]) ).

tcf(c_20697,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_6921]) ).

tcf(c_20698,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_6920]) ).

tcf(c_20699,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2350]) ).

tcf(c_20700,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_5744]) ).

tcf(c_20701,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_5743]) ).

tcf(c_20702,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_5742]) ).

tcf(c_20703,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2306]) ).

tcf(c_20704,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_4055]) ).

tcf(c_20705,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_3410]) ).

tcf(c_20706,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_3318]) ).

tcf(c_20707,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2939]) ).

tcf(c_20708,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2464]) ).

tcf(c_20709,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2403]) ).

tcf(c_20710,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2375]) ).

tcf(c_20711,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_4054]) ).

tcf(c_20712,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_4053]) ).

tcf(c_20713,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2305]) ).

tcf(c_20714,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_2314]) ).

tcf(c_20715,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_2313]) ).

tcf(c_20716,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2342]) ).

tcf(c_20717,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2341]) ).

tcf(c_20718,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_2340]) ).

tcf(c_20719,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_1259]) ).

tcf(c_20720,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_2312]) ).

tcf(c_20721,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2304]) ).

tcf(c_20722,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_1165]) ).

tcf(c_21090,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6086,c_18278]) ).

tcf(c_21092,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3306,c_18278]) ).

tcf(c_21093,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_18278]) ).

tcf(c_21111,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_6751,c_18289]) ).

tcf(c_21143,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_6751,c_18353]) ).

tcf(c_21155,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_18388,c_16991]) ).

tcf(c_21156,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_18388,c_16987]) ).

tcf(c_21159,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_3357,c_18447]) ).

tcf(c_21160,plain,
    sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_3275,c_18447]) ).

tcf(c_21179,plain,
    sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_6056,c_21159]) ).

tcf(c_21180,plain,
    sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_4473,c_21159]) ).

tcf(c_21191,plain,
    sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_6056,c_21160]) ).

tcf(c_21192,plain,
    sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_4473,c_21160]) ).

tcf(c_21252,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_15103,c_123,c_117,c_2361,c_3311,c_15103]) ).

tcf(c_21259,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_8198]) ).

tcf(c_21260,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_8197]) ).

tcf(c_21261,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_8196]) ).

tcf(c_21262,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2487]) ).

tcf(c_21263,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_7528]) ).

tcf(c_21264,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_7527]) ).

tcf(c_21265,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_7526]) ).

tcf(c_21266,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2445]) ).

tcf(c_21267,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_6922]) ).

tcf(c_21268,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_6921]) ).

tcf(c_21269,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_6920]) ).

tcf(c_21270,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2350]) ).

tcf(c_21271,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_5744]) ).

tcf(c_21272,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_5743]) ).

tcf(c_21273,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_5742]) ).

tcf(c_21274,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2306]) ).

tcf(c_21275,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_4055]) ).

tcf(c_21276,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_3410]) ).

tcf(c_21277,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_3318]) ).

tcf(c_21278,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2939]) ).

tcf(c_21279,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2464]) ).

tcf(c_21280,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2403]) ).

tcf(c_21281,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2375]) ).

tcf(c_21282,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_4054]) ).

tcf(c_21283,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_4053]) ).

tcf(c_21284,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2305]) ).

tcf(c_21285,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_2314]) ).

tcf(c_21286,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_2313]) ).

tcf(c_21287,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2342]) ).

tcf(c_21288,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2341]) ).

tcf(c_21289,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_2340]) ).

tcf(c_21290,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_1259]) ).

tcf(c_21291,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_2312]) ).

tcf(c_21292,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2304]) ).

tcf(c_21293,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_1165]) ).

tcf(c_21392,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_15106,c_123,c_117,c_2361,c_3360,c_15106]) ).

tcf(c_21399,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_8198]) ).

tcf(c_21400,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_8197]) ).

tcf(c_21401,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_8196]) ).

tcf(c_21402,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2487]) ).

tcf(c_21403,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_7528]) ).

tcf(c_21404,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_7527]) ).

tcf(c_21405,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_7526]) ).

tcf(c_21406,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2445]) ).

tcf(c_21407,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_6922]) ).

tcf(c_21408,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_6921]) ).

tcf(c_21409,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_6920]) ).

tcf(c_21410,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2350]) ).

tcf(c_21411,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_5744]) ).

tcf(c_21412,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_5743]) ).

tcf(c_21413,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_5742]) ).

tcf(c_21414,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2306]) ).

tcf(c_21415,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_4055]) ).

tcf(c_21416,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_3410]) ).

tcf(c_21417,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_3318]) ).

tcf(c_21418,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2939]) ).

tcf(c_21419,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2464]) ).

tcf(c_21420,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2403]) ).

tcf(c_21421,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2375]) ).

tcf(c_21422,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_4054]) ).

tcf(c_21423,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_4053]) ).

tcf(c_21424,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2305]) ).

tcf(c_21425,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_2314]) ).

tcf(c_21426,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_2313]) ).

tcf(c_21427,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2342]) ).

tcf(c_21428,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2341]) ).

tcf(c_21429,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_2340]) ).

tcf(c_21430,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_1259]) ).

tcf(c_21431,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_2312]) ).

tcf(c_21432,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2304]) ).

tcf(c_21433,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_1165]) ).

tcf(c_21593,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_15107,c_127,c_123,c_117,c_2370,c_2459,c_15107]) ).

tcf(c_21599,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_8198]) ).

tcf(c_21600,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_8197]) ).

tcf(c_21601,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_8196]) ).

tcf(c_21602,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2487]) ).

tcf(c_21603,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_7528]) ).

tcf(c_21604,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_7527]) ).

tcf(c_21605,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_7526]) ).

tcf(c_21606,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2445]) ).

tcf(c_21607,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_6922]) ).

tcf(c_21608,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_6921]) ).

tcf(c_21609,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_6920]) ).

tcf(c_21610,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2350]) ).

tcf(c_21611,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_5744]) ).

tcf(c_21612,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_5743]) ).

tcf(c_21613,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_5742]) ).

tcf(c_21614,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2306]) ).

tcf(c_21615,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_4055]) ).

tcf(c_21616,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_3410]) ).

tcf(c_21617,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_3318]) ).

tcf(c_21618,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2939]) ).

tcf(c_21619,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2464]) ).

tcf(c_21620,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2403]) ).

tcf(c_21621,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2375]) ).

tcf(c_21622,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_4054]) ).

tcf(c_21623,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_4053]) ).

tcf(c_21624,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2305]) ).

tcf(c_21625,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_2314]) ).

tcf(c_21626,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_2313]) ).

tcf(c_21627,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2342]) ).

tcf(c_21628,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2341]) ).

tcf(c_21629,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_2340]) ).

tcf(c_21630,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_1259]) ).

tcf(c_21631,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_2312]) ).

tcf(c_21632,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2304]) ).

tcf(c_21633,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_1165]) ).

tcf(c_21680,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_15108,c_127,c_117,c_2370,c_2887,c_15108]) ).

tcf(c_21685,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_8198]) ).

tcf(c_21686,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_8197]) ).

tcf(c_21687,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_8196]) ).

tcf(c_21688,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2487]) ).

tcf(c_21689,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_7528]) ).

tcf(c_21690,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_7527]) ).

tcf(c_21691,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_7526]) ).

tcf(c_21692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2445]) ).

tcf(c_21693,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_6922]) ).

tcf(c_21694,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_6921]) ).

tcf(c_21695,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_6920]) ).

tcf(c_21696,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2350]) ).

tcf(c_21697,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_5744]) ).

tcf(c_21698,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_5743]) ).

tcf(c_21699,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_5742]) ).

tcf(c_21700,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2306]) ).

tcf(c_21701,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_4055]) ).

tcf(c_21702,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_3410]) ).

tcf(c_21703,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_3318]) ).

tcf(c_21704,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2939]) ).

tcf(c_21705,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2464]) ).

tcf(c_21706,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2403]) ).

tcf(c_21707,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2375]) ).

tcf(c_21708,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_4054]) ).

tcf(c_21709,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_4053]) ).

tcf(c_21710,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2305]) ).

tcf(c_21711,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_2314]) ).

tcf(c_21712,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_2313]) ).

tcf(c_21713,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2342]) ).

tcf(c_21714,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2341]) ).

tcf(c_21715,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_2340]) ).

tcf(c_21716,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_1259]) ).

tcf(c_21717,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_2312]) ).

tcf(c_21718,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2304]) ).

tcf(c_21719,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_1165]) ).

tcf(c_21865,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3277,c_18456]) ).

tcf(c_21876,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3277,c_18457]) ).

tcf(c_21894,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_18550]) ).

tcf(c_21895,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4473,c_18550]) ).

tcf(c_21897,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_18550]) ).

tcf(c_21932,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_6056,c_18770]) ).

tcf(c_21933,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_4473,c_18770]) ).

tcf(c_21962,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_18789,c_17404]) ).

tcf(c_21965,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_15130,c_127,c_117,c_2370,c_3311,c_15130]) ).

tcf(c_21969,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2349,c_21965]) ).

tcf(c_21970,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_8198]) ).

tcf(c_21971,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_8197]) ).

tcf(c_21972,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_8196]) ).

tcf(c_21973,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2487]) ).

tcf(c_21974,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_7528]) ).

tcf(c_21975,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_7527]) ).

tcf(c_21976,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_7526]) ).

tcf(c_21977,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2445]) ).

tcf(c_21978,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_6922]) ).

tcf(c_21979,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_6921]) ).

tcf(c_21980,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_6920]) ).

tcf(c_21981,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2350]) ).

tcf(c_21982,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_5744]) ).

tcf(c_21983,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_5743]) ).

tcf(c_21984,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_5742]) ).

tcf(c_21985,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2306]) ).

tcf(c_21986,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_4055]) ).

tcf(c_21987,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_3410]) ).

tcf(c_21988,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_3318]) ).

tcf(c_21989,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2939]) ).

tcf(c_21990,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2464]) ).

tcf(c_21991,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2403]) ).

tcf(c_21992,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2375]) ).

tcf(c_21993,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_4054]) ).

tcf(c_21994,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_4053]) ).

tcf(c_21995,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2305]) ).

tcf(c_21996,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_2314]) ).

tcf(c_21997,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_2313]) ).

tcf(c_21998,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2342]) ).

tcf(c_21999,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2341]) ).

tcf(c_22000,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_2340]) ).

tcf(c_22001,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_1259]) ).

tcf(c_22002,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_2312]) ).

tcf(c_22003,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2304]) ).

tcf(c_22004,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_1165]) ).

tcf(c_22072,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_15132,c_127,c_117,c_2370,c_3360,c_15132]) ).

tcf(c_22078,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_8198]) ).

tcf(c_22079,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_8197]) ).

tcf(c_22080,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_8196]) ).

tcf(c_22081,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2487]) ).

tcf(c_22082,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_7528]) ).

tcf(c_22083,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_7527]) ).

tcf(c_22084,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_7526]) ).

tcf(c_22085,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2445]) ).

tcf(c_22086,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_6922]) ).

tcf(c_22087,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_6921]) ).

tcf(c_22088,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_6920]) ).

tcf(c_22089,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2350]) ).

tcf(c_22090,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_5744]) ).

tcf(c_22091,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_5743]) ).

tcf(c_22092,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_5742]) ).

tcf(c_22093,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2306]) ).

tcf(c_22094,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_4055]) ).

tcf(c_22095,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_3410]) ).

tcf(c_22096,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_3318]) ).

tcf(c_22097,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2939]) ).

tcf(c_22098,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2464]) ).

tcf(c_22099,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2403]) ).

tcf(c_22100,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2375]) ).

tcf(c_22101,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_4054]) ).

tcf(c_22102,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_4053]) ).

tcf(c_22103,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2305]) ).

tcf(c_22104,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_2314]) ).

tcf(c_22105,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_2313]) ).

tcf(c_22106,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2342]) ).

tcf(c_22107,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2341]) ).

tcf(c_22108,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_2340]) ).

tcf(c_22109,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_1259]) ).

tcf(c_22110,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_2312]) ).

tcf(c_22111,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2304]) ).

tcf(c_22112,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_1165]) ).

tcf(c_22150,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_15133,c_127,c_123,c_2459,c_2887,c_15133]) ).

tcf(c_22155,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_8198]) ).

tcf(c_22156,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_8197]) ).

tcf(c_22157,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_8196]) ).

tcf(c_22158,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2487]) ).

tcf(c_22159,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_7528]) ).

tcf(c_22160,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_7527]) ).

tcf(c_22161,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_7526]) ).

tcf(c_22162,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2445]) ).

tcf(c_22163,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_6922]) ).

tcf(c_22164,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_6921]) ).

tcf(c_22165,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_6920]) ).

tcf(c_22166,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2350]) ).

tcf(c_22167,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_5744]) ).

tcf(c_22168,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_5743]) ).

tcf(c_22169,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_5742]) ).

tcf(c_22170,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2306]) ).

tcf(c_22171,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_4055]) ).

tcf(c_22172,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_3410]) ).

tcf(c_22173,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_3318]) ).

tcf(c_22174,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2939]) ).

tcf(c_22175,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2464]) ).

tcf(c_22176,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2403]) ).

tcf(c_22177,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2375]) ).

tcf(c_22178,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_4054]) ).

tcf(c_22179,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_4053]) ).

tcf(c_22180,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2305]) ).

tcf(c_22181,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_2314]) ).

tcf(c_22182,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_2313]) ).

tcf(c_22183,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2342]) ).

tcf(c_22184,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2341]) ).

tcf(c_22185,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_2340]) ).

tcf(c_22186,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_1259]) ).

tcf(c_22187,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_2312]) ).

tcf(c_22188,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2304]) ).

tcf(c_22189,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_1165]) ).

tcf(c_22236,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_15135,c_127,c_123,c_2459,c_3311,c_15135]) ).

tcf(c_22241,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2349,c_22236]) ).

tcf(c_22242,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_8198]) ).

tcf(c_22243,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_8197]) ).

tcf(c_22244,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_8196]) ).

tcf(c_22245,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2487]) ).

tcf(c_22246,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_7528]) ).

tcf(c_22247,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_7527]) ).

tcf(c_22248,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_7526]) ).

tcf(c_22249,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2445]) ).

tcf(c_22250,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_6922]) ).

tcf(c_22251,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_6921]) ).

tcf(c_22252,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_6920]) ).

tcf(c_22253,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2350]) ).

tcf(c_22254,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_5744]) ).

tcf(c_22255,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_5743]) ).

tcf(c_22256,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_5742]) ).

tcf(c_22257,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2306]) ).

tcf(c_22258,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_4055]) ).

tcf(c_22259,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_3410]) ).

tcf(c_22260,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_3318]) ).

tcf(c_22261,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2939]) ).

tcf(c_22262,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2464]) ).

tcf(c_22263,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2403]) ).

tcf(c_22264,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2375]) ).

tcf(c_22265,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_4054]) ).

tcf(c_22266,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_4053]) ).

tcf(c_22267,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2305]) ).

tcf(c_22268,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_2314]) ).

tcf(c_22269,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_2313]) ).

tcf(c_22270,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2342]) ).

tcf(c_22271,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2341]) ).

tcf(c_22272,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_2340]) ).

tcf(c_22273,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_1259]) ).

tcf(c_22274,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_2312]) ).

tcf(c_22275,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2304]) ).

tcf(c_22276,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_1165]) ).

tcf(c_22332,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_8198]) ).

tcf(c_22333,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_8197]) ).

tcf(c_22334,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_8196]) ).

tcf(c_22335,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2487]) ).

tcf(c_22336,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_7528]) ).

tcf(c_22337,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_7527]) ).

tcf(c_22338,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_7526]) ).

tcf(c_22339,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2445]) ).

tcf(c_22340,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_6922]) ).

tcf(c_22341,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_6921]) ).

tcf(c_22342,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_6920]) ).

tcf(c_22343,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2350]) ).

tcf(c_22344,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_5744]) ).

tcf(c_22345,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_5743]) ).

tcf(c_22346,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_5742]) ).

tcf(c_22347,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2306]) ).

tcf(c_22348,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_4055]) ).

tcf(c_22349,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_3410]) ).

tcf(c_22350,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_3318]) ).

tcf(c_22351,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2939]) ).

tcf(c_22352,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2464]) ).

tcf(c_22353,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2403]) ).

tcf(c_22354,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2375]) ).

tcf(c_22355,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_4054]) ).

tcf(c_22356,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_4053]) ).

tcf(c_22357,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2305]) ).

tcf(c_22358,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_2314]) ).

tcf(c_22359,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_2313]) ).

tcf(c_22360,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2342]) ).

tcf(c_22361,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2341]) ).

tcf(c_22362,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_2340]) ).

tcf(c_22363,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_1259]) ).

tcf(c_22364,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_2312]) ).

tcf(c_22365,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2304]) ).

tcf(c_22366,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_1165]) ).

tcf(c_22461,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_8198]) ).

tcf(c_22462,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_8197]) ).

tcf(c_22463,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_8196]) ).

tcf(c_22464,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2487]) ).

tcf(c_22465,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_7528]) ).

tcf(c_22466,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_7527]) ).

tcf(c_22467,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_7526]) ).

tcf(c_22468,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2445]) ).

tcf(c_22469,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_6922]) ).

tcf(c_22470,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_6921]) ).

tcf(c_22471,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_6920]) ).

tcf(c_22472,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2350]) ).

tcf(c_22473,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_5744]) ).

tcf(c_22474,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_5743]) ).

tcf(c_22475,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_5742]) ).

tcf(c_22476,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2306]) ).

tcf(c_22477,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_4055]) ).

tcf(c_22478,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_3410]) ).

tcf(c_22479,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_3318]) ).

tcf(c_22480,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2939]) ).

tcf(c_22481,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2464]) ).

tcf(c_22482,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2403]) ).

tcf(c_22483,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2375]) ).

tcf(c_22484,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_4054]) ).

tcf(c_22485,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_4053]) ).

tcf(c_22486,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2305]) ).

tcf(c_22487,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_2314]) ).

tcf(c_22488,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_2313]) ).

tcf(c_22489,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2342]) ).

tcf(c_22490,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2341]) ).

tcf(c_22491,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_2340]) ).

tcf(c_22492,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_1259]) ).

tcf(c_22493,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_2312]) ).

tcf(c_22494,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2304]) ).

tcf(c_22495,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_1165]) ).

tcf(c_22549,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_4052,c_18823]) ).

tcf(c_22554,plain,
    sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_6837,c_18835]) ).

tcf(c_22594,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_19145,c_18846]) ).

tcf(c_22654,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_19166,c_18846]) ).

tcf(c_22656,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_19166,c_18780]) ).

tcf(c_22658,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_19166,c_17369]) ).

tcf(c_22660,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_15136,c_127,c_123,c_2459,c_3360,c_15136]) ).

tcf(c_22664,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2444,c_22660]) ).

tcf(c_22665,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_8198]) ).

tcf(c_22666,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_8197]) ).

tcf(c_22667,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_8196]) ).

tcf(c_22668,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2487]) ).

tcf(c_22669,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_7528]) ).

tcf(c_22670,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_7527]) ).

tcf(c_22671,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_7526]) ).

tcf(c_22672,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2445]) ).

tcf(c_22673,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_6922]) ).

tcf(c_22674,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_6921]) ).

tcf(c_22675,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_6920]) ).

tcf(c_22676,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2350]) ).

tcf(c_22677,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_5744]) ).

tcf(c_22678,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_5743]) ).

tcf(c_22679,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_5742]) ).

tcf(c_22680,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2306]) ).

tcf(c_22681,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_4055]) ).

tcf(c_22682,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_3410]) ).

tcf(c_22683,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_3318]) ).

tcf(c_22684,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2939]) ).

tcf(c_22685,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2464]) ).

tcf(c_22686,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2403]) ).

tcf(c_22687,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2375]) ).

tcf(c_22688,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_4054]) ).

tcf(c_22689,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_4053]) ).

tcf(c_22690,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2305]) ).

tcf(c_22691,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_2314]) ).

tcf(c_22692,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_2313]) ).

tcf(c_22693,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2342]) ).

tcf(c_22694,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2341]) ).

tcf(c_22695,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_2340]) ).

tcf(c_22696,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_1259]) ).

tcf(c_22697,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_2312]) ).

tcf(c_22698,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2304]) ).

tcf(c_22699,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_1165]) ).

tcf(c_22750,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_15491,c_2887,c_3311,c_15491]) ).

tcf(c_22755,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_8198]) ).

tcf(c_22756,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_8197]) ).

tcf(c_22757,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_8196]) ).

tcf(c_22758,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2487]) ).

tcf(c_22759,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_7528]) ).

tcf(c_22760,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_7527]) ).

tcf(c_22761,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_7526]) ).

tcf(c_22762,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2445]) ).

tcf(c_22763,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_6922]) ).

tcf(c_22764,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_6921]) ).

tcf(c_22765,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_6920]) ).

tcf(c_22766,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2350]) ).

tcf(c_22767,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_5744]) ).

tcf(c_22768,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_5743]) ).

tcf(c_22769,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_5742]) ).

tcf(c_22770,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2306]) ).

tcf(c_22771,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_4055]) ).

tcf(c_22772,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_3410]) ).

tcf(c_22773,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_3318]) ).

tcf(c_22774,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2939]) ).

tcf(c_22775,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2464]) ).

tcf(c_22776,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2403]) ).

tcf(c_22777,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2375]) ).

tcf(c_22778,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_4054]) ).

tcf(c_22779,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_4053]) ).

tcf(c_22780,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2305]) ).

tcf(c_22781,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_2314]) ).

tcf(c_22782,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_2313]) ).

tcf(c_22783,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2342]) ).

tcf(c_22784,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2341]) ).

tcf(c_22785,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_2340]) ).

tcf(c_22786,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_1259]) ).

tcf(c_22787,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_2312]) ).

tcf(c_22788,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2304]) ).

tcf(c_22789,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_1165]) ).

tcf(c_22858,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_15493,c_2887,c_3360,c_15493]) ).

tcf(c_22863,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_8198]) ).

tcf(c_22864,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_8197]) ).

tcf(c_22865,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_8196]) ).

tcf(c_22866,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2487]) ).

tcf(c_22867,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_7528]) ).

tcf(c_22868,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_7527]) ).

tcf(c_22869,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_7526]) ).

tcf(c_22870,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2445]) ).

tcf(c_22871,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_6922]) ).

tcf(c_22872,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_6921]) ).

tcf(c_22873,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_6920]) ).

tcf(c_22874,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2350]) ).

tcf(c_22875,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_5744]) ).

tcf(c_22876,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_5743]) ).

tcf(c_22877,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_5742]) ).

tcf(c_22878,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2306]) ).

tcf(c_22879,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_4055]) ).

tcf(c_22880,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_3410]) ).

tcf(c_22881,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_3318]) ).

tcf(c_22882,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2939]) ).

tcf(c_22883,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2464]) ).

tcf(c_22884,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2403]) ).

tcf(c_22885,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2375]) ).

tcf(c_22886,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_4054]) ).

tcf(c_22887,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_4053]) ).

tcf(c_22888,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2305]) ).

tcf(c_22889,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_2314]) ).

tcf(c_22890,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_2313]) ).

tcf(c_22891,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2342]) ).

tcf(c_22892,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2341]) ).

tcf(c_22893,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_2340]) ).

tcf(c_22894,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_1259]) ).

tcf(c_22895,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_2312]) ).

tcf(c_22896,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2304]) ).

tcf(c_22897,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_1165]) ).

tcf(c_23011,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_15496,c_3311,c_3360,c_15496]) ).

tcf(c_23016,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2444,c_23011]) ).

tcf(c_23017,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_8198]) ).

tcf(c_23018,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_8197]) ).

tcf(c_23019,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_8196]) ).

tcf(c_23020,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2487]) ).

tcf(c_23021,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_7528]) ).

tcf(c_23022,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_7527]) ).

tcf(c_23023,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_7526]) ).

tcf(c_23024,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2445]) ).

tcf(c_23025,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_6922]) ).

tcf(c_23026,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_6921]) ).

tcf(c_23027,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_6920]) ).

tcf(c_23028,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2350]) ).

tcf(c_23029,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_5744]) ).

tcf(c_23030,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_5743]) ).

tcf(c_23031,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_5742]) ).

tcf(c_23032,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2306]) ).

tcf(c_23033,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_4055]) ).

tcf(c_23034,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_3410]) ).

tcf(c_23035,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_3318]) ).

tcf(c_23036,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2939]) ).

tcf(c_23037,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2464]) ).

tcf(c_23038,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2403]) ).

tcf(c_23039,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2375]) ).

tcf(c_23040,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_4054]) ).

tcf(c_23041,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_4053]) ).

tcf(c_23042,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2305]) ).

tcf(c_23043,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_2314]) ).

tcf(c_23044,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_2313]) ).

tcf(c_23045,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2342]) ).

tcf(c_23046,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2341]) ).

tcf(c_23047,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_2340]) ).

tcf(c_23048,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_1259]) ).

tcf(c_23049,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_2312]) ).

tcf(c_23050,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2304]) ).

tcf(c_23051,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_1165]) ).

tcf(c_23099,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_8198]) ).

tcf(c_23100,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_8197]) ).

tcf(c_23101,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_8196]) ).

tcf(c_23102,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2487]) ).

tcf(c_23103,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_7528]) ).

tcf(c_23104,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_7527]) ).

tcf(c_23105,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_7526]) ).

tcf(c_23106,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2445]) ).

tcf(c_23107,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_6922]) ).

tcf(c_23108,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_6921]) ).

tcf(c_23109,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_6920]) ).

tcf(c_23110,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2350]) ).

tcf(c_23111,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_5744]) ).

tcf(c_23112,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_5743]) ).

tcf(c_23113,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_5742]) ).

tcf(c_23114,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2306]) ).

tcf(c_23115,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_4055]) ).

tcf(c_23116,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_3410]) ).

tcf(c_23117,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_3318]) ).

tcf(c_23118,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2939]) ).

tcf(c_23119,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2464]) ).

tcf(c_23120,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2403]) ).

tcf(c_23121,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2375]) ).

tcf(c_23122,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_4054]) ).

tcf(c_23123,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_4053]) ).

tcf(c_23124,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2305]) ).

tcf(c_23125,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_2314]) ).

tcf(c_23126,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_2313]) ).

tcf(c_23127,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2342]) ).

tcf(c_23128,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2341]) ).

tcf(c_23129,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_2340]) ).

tcf(c_23130,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_1259]) ).

tcf(c_23131,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_2312]) ).

tcf(c_23132,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2304]) ).

tcf(c_23133,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_1165]) ).

tcf(c_23241,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_8198]) ).

tcf(c_23242,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_8197]) ).

tcf(c_23243,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_8196]) ).

tcf(c_23244,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2487]) ).

tcf(c_23245,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_7528]) ).

tcf(c_23246,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_7527]) ).

tcf(c_23247,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_7526]) ).

tcf(c_23248,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2445]) ).

tcf(c_23249,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_6922]) ).

tcf(c_23250,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_6921]) ).

tcf(c_23251,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_6920]) ).

tcf(c_23252,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2350]) ).

tcf(c_23253,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_5744]) ).

tcf(c_23254,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_5743]) ).

tcf(c_23255,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_5742]) ).

tcf(c_23256,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2306]) ).

tcf(c_23257,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_4055]) ).

tcf(c_23258,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_3410]) ).

tcf(c_23259,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_3318]) ).

tcf(c_23260,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2939]) ).

tcf(c_23261,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2464]) ).

tcf(c_23262,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2403]) ).

tcf(c_23263,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2375]) ).

tcf(c_23264,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_4054]) ).

tcf(c_23265,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_4053]) ).

tcf(c_23266,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2305]) ).

tcf(c_23267,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_2314]) ).

tcf(c_23268,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_2313]) ).

tcf(c_23269,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2342]) ).

tcf(c_23270,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2341]) ).

tcf(c_23271,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_2340]) ).

tcf(c_23272,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_1259]) ).

tcf(c_23273,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_2312]) ).

tcf(c_23274,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2304]) ).

tcf(c_23275,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_1165]) ).

tcf(c_23448,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15755,c_127,c_117,c_3311,c_6043,c_15755]) ).

tcf(c_23452,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_8198]) ).

tcf(c_23453,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_8197]) ).

tcf(c_23454,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_8196]) ).

tcf(c_23455,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2487]) ).

tcf(c_23456,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_7528]) ).

tcf(c_23457,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_7527]) ).

tcf(c_23458,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_7526]) ).

tcf(c_23459,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2445]) ).

tcf(c_23460,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_6922]) ).

tcf(c_23461,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_6921]) ).

tcf(c_23462,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_6920]) ).

tcf(c_23463,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2350]) ).

tcf(c_23464,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_5744]) ).

tcf(c_23465,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_5743]) ).

tcf(c_23466,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_5742]) ).

tcf(c_23467,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2306]) ).

tcf(c_23468,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_4055]) ).

tcf(c_23469,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_3410]) ).

tcf(c_23470,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_3318]) ).

tcf(c_23471,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_2939]) ).

tcf(c_23472,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_2464]) ).

tcf(c_23473,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_2403]) ).

tcf(c_23474,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_2375]) ).

tcf(c_23475,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_4054]) ).

tcf(c_23476,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_4053]) ).

tcf(c_23477,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2305]) ).

tcf(c_23478,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_2314]) ).

tcf(c_23479,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_2313]) ).

tcf(c_23483,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_1259]) ).

tcf(c_23484,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_2312]) ).

tcf(c_23485,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2304]) ).

tcf(c_23486,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_1165]) ).

tcf(c_23580,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15758,c_123,c_117,c_3311,c_6043,c_15758]) ).

tcf(c_23584,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_8198]) ).

tcf(c_23585,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_8197]) ).

tcf(c_23586,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_8196]) ).

tcf(c_23587,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2487]) ).

tcf(c_23588,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_7528]) ).

tcf(c_23589,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_7527]) ).

tcf(c_23590,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_7526]) ).

tcf(c_23591,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2445]) ).

tcf(c_23592,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_6922]) ).

tcf(c_23593,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_6921]) ).

tcf(c_23594,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_6920]) ).

tcf(c_23595,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2350]) ).

tcf(c_23596,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_5744]) ).

tcf(c_23597,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_5743]) ).

tcf(c_23598,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_5742]) ).

tcf(c_23599,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2306]) ).

tcf(c_23600,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_4055]) ).

tcf(c_23601,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_3410]) ).

tcf(c_23602,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_3318]) ).

tcf(c_23603,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_2939]) ).

tcf(c_23604,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_2464]) ).

tcf(c_23605,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_2403]) ).

tcf(c_23606,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_2375]) ).

tcf(c_23607,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_4054]) ).

tcf(c_23608,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_4053]) ).

tcf(c_23609,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2305]) ).

tcf(c_23610,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_2314]) ).

tcf(c_23611,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_2313]) ).

tcf(c_23615,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_1259]) ).

tcf(c_23616,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_2312]) ).

tcf(c_23617,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2304]) ).

tcf(c_23618,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_1165]) ).

tcf(c_23907,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15761,c_117,c_3311,c_6043,c_15761]) ).

tcf(c_23911,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_8198]) ).

tcf(c_23912,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_8197]) ).

tcf(c_23913,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_8196]) ).

tcf(c_23914,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2487]) ).

tcf(c_23915,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_7528]) ).

tcf(c_23916,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_7527]) ).

tcf(c_23917,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_7526]) ).

tcf(c_23918,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2445]) ).

tcf(c_23919,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_6922]) ).

tcf(c_23920,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_6921]) ).

tcf(c_23921,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_6920]) ).

tcf(c_23922,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2350]) ).

tcf(c_23923,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_5744]) ).

tcf(c_23924,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_5743]) ).

tcf(c_23925,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_5742]) ).

tcf(c_23926,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2306]) ).

tcf(c_23927,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_4055]) ).

tcf(c_23928,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_3410]) ).

tcf(c_23929,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_3318]) ).

tcf(c_23930,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_2939]) ).

tcf(c_23931,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_2464]) ).

tcf(c_23932,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_2403]) ).

tcf(c_23933,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_2375]) ).

tcf(c_23934,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_4054]) ).

tcf(c_23935,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_4053]) ).

tcf(c_23936,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2305]) ).

tcf(c_23937,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_2314]) ).

tcf(c_23938,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_2313]) ).

tcf(c_23942,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_1259]) ).

tcf(c_23943,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_2312]) ).

tcf(c_23944,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2304]) ).

tcf(c_23945,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_1165]) ).

tcf(c_24001,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15939,c_127,c_117,c_3360,c_6316,c_15939]) ).

tcf(c_24008,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_8198]) ).

tcf(c_24009,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_8197]) ).

tcf(c_24010,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_8196]) ).

tcf(c_24011,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2487]) ).

tcf(c_24012,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_7528]) ).

tcf(c_24013,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_7527]) ).

tcf(c_24014,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_7526]) ).

tcf(c_24015,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2445]) ).

tcf(c_24016,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_6922]) ).

tcf(c_24017,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_6921]) ).

tcf(c_24018,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_6920]) ).

tcf(c_24019,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2350]) ).

tcf(c_24020,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_5744]) ).

tcf(c_24021,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_5743]) ).

tcf(c_24022,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_5742]) ).

tcf(c_24023,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2306]) ).

tcf(c_24024,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_4055]) ).

tcf(c_24025,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_3410]) ).

tcf(c_24026,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_3318]) ).

tcf(c_24027,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_2939]) ).

tcf(c_24028,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_2464]) ).

tcf(c_24029,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_2403]) ).

tcf(c_24030,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_2375]) ).

tcf(c_24031,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_4054]) ).

tcf(c_24032,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_4053]) ).

tcf(c_24033,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2305]) ).

tcf(c_24034,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_2314]) ).

tcf(c_24035,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_2313]) ).

tcf(c_24039,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_1259]) ).

tcf(c_24040,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_2312]) ).

tcf(c_24041,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2304]) ).

tcf(c_24042,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_1165]) ).

tcf(c_24102,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15945,c_123,c_117,c_3360,c_6316,c_15945]) ).

tcf(c_24109,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_8198]) ).

tcf(c_24110,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_8197]) ).

tcf(c_24111,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_8196]) ).

tcf(c_24112,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2487]) ).

tcf(c_24113,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_7528]) ).

tcf(c_24114,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_7527]) ).

tcf(c_24115,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_7526]) ).

tcf(c_24116,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2445]) ).

tcf(c_24117,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_6922]) ).

tcf(c_24118,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_6921]) ).

tcf(c_24119,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_6920]) ).

tcf(c_24120,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2350]) ).

tcf(c_24121,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_5744]) ).

tcf(c_24122,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_5743]) ).

tcf(c_24123,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_5742]) ).

tcf(c_24124,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2306]) ).

tcf(c_24125,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_4055]) ).

tcf(c_24126,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_3410]) ).

tcf(c_24127,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_3318]) ).

tcf(c_24128,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_2939]) ).

tcf(c_24129,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_2464]) ).

tcf(c_24130,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_2403]) ).

tcf(c_24131,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_2375]) ).

tcf(c_24132,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_4054]) ).

tcf(c_24133,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_4053]) ).

tcf(c_24134,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2305]) ).

tcf(c_24135,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_2314]) ).

tcf(c_24136,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_2313]) ).

tcf(c_24140,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_1259]) ).

tcf(c_24141,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_2312]) ).

tcf(c_24142,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2304]) ).

tcf(c_24143,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_1165]) ).

tcf(c_24190,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_15951,c_117,c_3360,c_6316,c_15951]) ).

tcf(c_24197,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_8198]) ).

tcf(c_24198,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_8197]) ).

tcf(c_24199,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_8196]) ).

tcf(c_24200,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2487]) ).

tcf(c_24201,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_7528]) ).

tcf(c_24202,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_7527]) ).

tcf(c_24203,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_7526]) ).

tcf(c_24204,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2445]) ).

tcf(c_24205,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_6922]) ).

tcf(c_24206,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_6921]) ).

tcf(c_24207,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_6920]) ).

tcf(c_24208,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2350]) ).

tcf(c_24209,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_5744]) ).

tcf(c_24210,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_5743]) ).

tcf(c_24211,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_5742]) ).

tcf(c_24212,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2306]) ).

tcf(c_24213,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_4055]) ).

tcf(c_24214,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_3410]) ).

tcf(c_24215,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_3318]) ).

tcf(c_24216,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_2939]) ).

tcf(c_24217,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_2464]) ).

tcf(c_24218,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_2403]) ).

tcf(c_24219,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_2375]) ).

tcf(c_24220,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_4054]) ).

tcf(c_24221,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_4053]) ).

tcf(c_24222,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2305]) ).

tcf(c_24223,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_2314]) ).

tcf(c_24224,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_2313]) ).

tcf(c_24228,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_1259]) ).

tcf(c_24229,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_2312]) ).

tcf(c_24230,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2304]) ).

tcf(c_24231,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_1165]) ).

tcf(c_24398,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_15954,c_127,c_123,c_3360,c_6320,c_15954]) ).

tcf(c_24402,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_8198]) ).

tcf(c_24403,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_8197]) ).

tcf(c_24404,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_8196]) ).

tcf(c_24405,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2487]) ).

tcf(c_24406,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_7528]) ).

tcf(c_24407,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_7527]) ).

tcf(c_24408,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_7526]) ).

tcf(c_24409,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2445]) ).

tcf(c_24410,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_6922]) ).

tcf(c_24411,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_6921]) ).

tcf(c_24412,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_6920]) ).

tcf(c_24413,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2350]) ).

tcf(c_24414,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_5744]) ).

tcf(c_24415,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_5743]) ).

tcf(c_24416,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_5742]) ).

tcf(c_24417,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2306]) ).

tcf(c_24418,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_4055]) ).

tcf(c_24419,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_3410]) ).

tcf(c_24420,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_3318]) ).

tcf(c_24421,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_2939]) ).

tcf(c_24422,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_2464]) ).

tcf(c_24423,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_2403]) ).

tcf(c_24424,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_2375]) ).

tcf(c_24425,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_4054]) ).

tcf(c_24426,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_4053]) ).

tcf(c_24427,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2305]) ).

tcf(c_24428,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_2314]) ).

tcf(c_24429,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_2313]) ).

tcf(c_24433,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_1259]) ).

tcf(c_24434,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_2312]) ).

tcf(c_24435,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2304]) ).

tcf(c_24436,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_1165]) ).

tcf(c_24481,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_15971,c_123,c_3360,c_6320,c_15971]) ).

tcf(c_24485,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_8198]) ).

tcf(c_24486,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_8197]) ).

tcf(c_24487,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_8196]) ).

tcf(c_24488,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2487]) ).

tcf(c_24489,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_7528]) ).

tcf(c_24490,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_7527]) ).

tcf(c_24491,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_7526]) ).

tcf(c_24492,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2445]) ).

tcf(c_24493,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_6922]) ).

tcf(c_24494,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_6921]) ).

tcf(c_24495,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_6920]) ).

tcf(c_24496,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2350]) ).

tcf(c_24497,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_5744]) ).

tcf(c_24498,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_5743]) ).

tcf(c_24499,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_5742]) ).

tcf(c_24500,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2306]) ).

tcf(c_24501,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_4055]) ).

tcf(c_24502,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_3410]) ).

tcf(c_24503,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_3318]) ).

tcf(c_24504,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_2939]) ).

tcf(c_24505,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_2464]) ).

tcf(c_24506,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_2403]) ).

tcf(c_24507,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_2375]) ).

tcf(c_24508,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_4054]) ).

tcf(c_24509,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_4053]) ).

tcf(c_24510,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2305]) ).

tcf(c_24511,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_2314]) ).

tcf(c_24512,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_2313]) ).

tcf(c_24516,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_1259]) ).

tcf(c_24517,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_2312]) ).

tcf(c_24518,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2304]) ).

tcf(c_24519,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_1165]) ).

tcf(c_24618,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(global_subsumption_just,[status(thm)],[c_15974,c_123,c_117,c_3360,c_6320,c_15974]) ).

tcf(c_24622,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_8198]) ).

tcf(c_24623,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_8197]) ).

tcf(c_24624,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_8196]) ).

tcf(c_24625,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2487]) ).

tcf(c_24626,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_7528]) ).

tcf(c_24627,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_7527]) ).

tcf(c_24628,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_7526]) ).

tcf(c_24629,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2445]) ).

tcf(c_24630,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_6922]) ).

tcf(c_24631,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_6921]) ).

tcf(c_24632,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_6920]) ).

tcf(c_24633,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2350]) ).

tcf(c_24634,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_5744]) ).

tcf(c_24635,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_5743]) ).

tcf(c_24636,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_5742]) ).

tcf(c_24637,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2306]) ).

tcf(c_24638,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_4055]) ).

tcf(c_24639,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_3410]) ).

tcf(c_24640,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_3318]) ).

tcf(c_24641,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_2939]) ).

tcf(c_24642,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_2464]) ).

tcf(c_24643,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_2403]) ).

tcf(c_24644,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_2375]) ).

tcf(c_24645,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_4054]) ).

tcf(c_24646,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_4053]) ).

tcf(c_24647,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2305]) ).

tcf(c_24648,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_2314]) ).

tcf(c_24649,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_2313]) ).

tcf(c_24653,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_1259]) ).

tcf(c_24654,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_2312]) ).

tcf(c_24655,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2304]) ).

tcf(c_24656,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_1165]) ).

tcf(c_24719,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),
    inference(superposition,[status(thm)],[c_1119,c_2377]) ).

tcf(c_24720,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xH) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),
    inference(superposition,[status(thm)],[c_1113,c_2377]) ).

tcf(c_24721,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),xP) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),
    inference(superposition,[status(thm)],[c_1109,c_2377]) ).

tcf(c_24722,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2377]) ).

tcf(c_24723,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2377]) ).

tcf(c_24724,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_2377]) ).

tcf(c_24726,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_2377]) ).

tcf(c_24728,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_2377]) ).

tcf(c_24729,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_2377]) ).

tcf(c_24730,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_2377]) ).

tcf(c_24731,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_2377]) ).

tcf(c_24732,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_2377]) ).

tcf(c_24733,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_2377]) ).

tcf(c_24734,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_2377]) ).

tcf(c_24735,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_2377]) ).

tcf(c_24736,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_2377]) ).

tcf(c_24737,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_2377]) ).

tcf(c_24738,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_2377]) ).

tcf(c_24739,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_2377]) ).

tcf(c_24740,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_2377]) ).

tcf(c_24741,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_2377]) ).

tcf(c_24742,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_2377]) ).

tcf(c_24743,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_2377]) ).

tcf(c_24744,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_2377]) ).

tcf(c_24745,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_2377]) ).

tcf(c_24746,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_2377]) ).

tcf(c_24747,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_2377]) ).

tcf(c_24748,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_2377]) ).

tcf(c_24749,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_2377]) ).

tcf(c_24750,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_2377]) ).

tcf(c_24751,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_2377]) ).

tcf(c_24752,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_2377]) ).

tcf(c_24753,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_2377]) ).

tcf(c_24754,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_2377]) ).

tcf(c_24755,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_2377]) ).

tcf(c_24756,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_2377]) ).

tcf(c_24757,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_2377]) ).

tcf(c_24758,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_2377]) ).

tcf(c_24759,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_2377]) ).

tcf(c_24760,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_2377]) ).

tcf(c_24761,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_2377]) ).

tcf(c_24762,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_2377]) ).

tcf(c_24763,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_2377]) ).

tcf(c_24764,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_2377]) ).

tcf(c_24765,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_2377]) ).

tcf(c_24766,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_2377]) ).

tcf(c_24767,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_2377]) ).

tcf(c_24768,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_2377]) ).

tcf(c_24769,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_2377]) ).

tcf(c_24770,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_2377]) ).

tcf(c_24771,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_2377]) ).

tcf(c_24772,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_2377]) ).

tcf(c_24773,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_2377]) ).

tcf(c_24774,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_2377]) ).

tcf(c_24775,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_2377]) ).

tcf(c_24776,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_2377]) ).

tcf(c_24777,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_2377]) ).

tcf(c_24778,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_2377]) ).

tcf(c_24779,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_2377]) ).

tcf(c_24780,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_2377]) ).

tcf(c_24781,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_2377]) ).

tcf(c_24782,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_2377]) ).

tcf(c_24783,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_2377]) ).

tcf(c_24784,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_2377]) ).

tcf(c_24785,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_2377]) ).

tcf(c_24786,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_2377]) ).

tcf(c_24787,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_2377]) ).

tcf(c_24788,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_2377]) ).

tcf(c_24789,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_2377]) ).

tcf(c_24790,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_2377]) ).

tcf(c_24791,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_2377]) ).

tcf(c_24792,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_2377]) ).

tcf(c_24793,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_2377]) ).

tcf(c_24794,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_2377]) ).

tcf(c_24795,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_2377]) ).

tcf(c_24796,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_2377]) ).

tcf(c_24797,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_2377]) ).

tcf(c_24798,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_2377]) ).

tcf(c_24799,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_2377]) ).

tcf(c_24800,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_2377]) ).

tcf(c_24801,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_2377]) ).

tcf(c_24802,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_2377]) ).

tcf(c_24803,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_2377]) ).

tcf(c_24804,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_2377]) ).

tcf(c_24805,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_2377]) ).

tcf(c_24806,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_2377]) ).

tcf(c_24807,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_2377]) ).

tcf(c_24808,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_2377]) ).

tcf(c_24809,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_2377]) ).

tcf(c_24810,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_2377]) ).

tcf(c_24811,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_2377]) ).

tcf(c_24812,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_2377]) ).

tcf(c_24813,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_2377]) ).

tcf(c_24814,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_2377]) ).

tcf(c_24815,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_2377]) ).

tcf(c_24816,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_2377]) ).

tcf(c_24817,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_2377]) ).

tcf(c_24818,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_2377]) ).

tcf(c_24819,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_2377]) ).

tcf(c_24820,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_2377]) ).

tcf(c_24821,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_2377]) ).

tcf(c_24822,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_2377]) ).

tcf(c_24823,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_2377]) ).

tcf(c_24824,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_2377]) ).

tcf(c_24825,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_2377]) ).

tcf(c_24826,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_2377]) ).

tcf(c_24827,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_2377]) ).

tcf(c_24828,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_2377]) ).

tcf(c_24829,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_2377]) ).

tcf(c_24830,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_2377]) ).

tcf(c_24831,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_2377]) ).

tcf(c_24832,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_2377]) ).

tcf(c_24833,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_2377]) ).

tcf(c_24834,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_2377]) ).

tcf(c_24835,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_2377]) ).

tcf(c_24836,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_2377]) ).

tcf(c_24837,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_2377]) ).

tcf(c_24838,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_2377]) ).

tcf(c_24839,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_2377]) ).

tcf(c_24840,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_2377]) ).

tcf(c_24841,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_2377]) ).

tcf(c_24842,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_2377]) ).

tcf(c_24843,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_2377]) ).

tcf(c_24844,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_2377]) ).

tcf(c_24845,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_2377]) ).

tcf(c_24846,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_2377]) ).

tcf(c_24847,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_2377]) ).

tcf(c_24848,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_2377]) ).

tcf(c_24849,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_2377]) ).

tcf(c_24850,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_2377]) ).

tcf(c_24851,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_2377]) ).

tcf(c_24852,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_2377]) ).

tcf(c_24853,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_2377]) ).

tcf(c_24854,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_2377]) ).

tcf(c_25306,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)) = sdtasdt0(sdtasdt0(xP,xE),xE),
    inference(superposition,[status(thm)],[c_3269,c_24719]) ).

tcf(c_25308,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_24719,c_1176]) ).

tcf(c_25309,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_24719,c_2675]) ).

tcf(c_25313,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)) = sdtasdt0(sdtasdt0(xP,xE),xH),
    inference(superposition,[status(thm)],[c_3269,c_24720]) ).

tcf(c_25315,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_24720,c_1176]) ).

tcf(c_25316,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_24720,c_2674]) ).

tcf(c_25331,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_3269,c_24721]) ).

tcf(c_25333,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xE,sdtasdt0(xE,xH))) ),
    inference(superposition,[status(thm)],[c_24721,c_1176]) ).

tcf(c_25334,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_24721,c_2673]) ).

tcf(c_25337,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(global_subsumption_just,[status(thm)],[c_25308,c_123,c_117,c_2361,c_2636,c_25308]) ).

tcf(c_25343,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_2377]) ).

tcf(c_25344,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_8198]) ).

tcf(c_25345,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_8197]) ).

tcf(c_25346,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_8196]) ).

tcf(c_25347,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2487]) ).

tcf(c_25348,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_7528]) ).

tcf(c_25349,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_7527]) ).

tcf(c_25350,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_7526]) ).

tcf(c_25351,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2445]) ).

tcf(c_25352,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_6922]) ).

tcf(c_25353,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_6921]) ).

tcf(c_25354,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_6920]) ).

tcf(c_25355,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2350]) ).

tcf(c_25356,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_5744]) ).

tcf(c_25357,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_5743]) ).

tcf(c_25358,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_5742]) ).

tcf(c_25359,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2306]) ).

tcf(c_25360,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_4055]) ).

tcf(c_25361,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_3410]) ).

tcf(c_25362,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_3318]) ).

tcf(c_25363,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2939]) ).

tcf(c_25364,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2464]) ).

tcf(c_25365,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2403]) ).

tcf(c_25366,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2375]) ).

tcf(c_25367,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_4054]) ).

tcf(c_25368,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_4053]) ).

tcf(c_25369,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2305]) ).

tcf(c_25370,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_2314]) ).

tcf(c_25371,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_2313]) ).

tcf(c_25372,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2342]) ).

tcf(c_25373,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2341]) ).

tcf(c_25374,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_2340]) ).

tcf(c_25375,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_1259]) ).

tcf(c_25376,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_2312]) ).

tcf(c_25377,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2304]) ).

tcf(c_25378,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_1165]) ).

tcf(c_25477,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(sdtasdt0(xP,xE),xE),
    inference(superposition,[status(thm)],[c_4421,c_25306]) ).

tcf(c_25478,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(sdtasdt0(xP,xE),xE),
    inference(superposition,[status(thm)],[c_3162,c_25306]) ).

tcf(c_25479,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(sdtasdt0(xP,xE),xE),
    inference(superposition,[status(thm)],[c_2374,c_25306]) ).

tcf(c_25482,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25306,c_25337]) ).

tcf(c_25491,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_2349,c_25482]) ).

tcf(c_25492,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_2377]) ).

tcf(c_25493,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_8198]) ).

tcf(c_25494,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_8197]) ).

tcf(c_25495,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_8196]) ).

tcf(c_25496,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2487]) ).

tcf(c_25497,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_7528]) ).

tcf(c_25498,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_7527]) ).

tcf(c_25499,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_7526]) ).

tcf(c_25500,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2445]) ).

tcf(c_25501,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_6922]) ).

tcf(c_25502,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_6921]) ).

tcf(c_25503,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_6920]) ).

tcf(c_25504,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2350]) ).

tcf(c_25505,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_5744]) ).

tcf(c_25506,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_5743]) ).

tcf(c_25507,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_5742]) ).

tcf(c_25508,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2306]) ).

tcf(c_25509,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_4055]) ).

tcf(c_25510,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_3410]) ).

tcf(c_25511,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_3318]) ).

tcf(c_25512,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2939]) ).

tcf(c_25513,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2464]) ).

tcf(c_25514,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2403]) ).

tcf(c_25515,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2375]) ).

tcf(c_25516,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_4054]) ).

tcf(c_25517,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_4053]) ).

tcf(c_25518,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2305]) ).

tcf(c_25519,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_2314]) ).

tcf(c_25520,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_2313]) ).

tcf(c_25521,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2342]) ).

tcf(c_25522,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2341]) ).

tcf(c_25523,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_2340]) ).

tcf(c_25524,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),xE)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_1259]) ).

tcf(c_25525,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_2312]) ).

tcf(c_25526,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2304]) ).

tcf(c_25527,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_1165]) ).

tcf(c_25599,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_2377]) ).

tcf(c_25600,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_8198]) ).

tcf(c_25601,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_8197]) ).

tcf(c_25602,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_8196]) ).

tcf(c_25603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2487]) ).

tcf(c_25604,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_7528]) ).

tcf(c_25605,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_7527]) ).

tcf(c_25606,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_7526]) ).

tcf(c_25607,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2445]) ).

tcf(c_25608,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_6922]) ).

tcf(c_25609,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_6921]) ).

tcf(c_25610,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_6920]) ).

tcf(c_25611,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2350]) ).

tcf(c_25612,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_5744]) ).

tcf(c_25613,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_5743]) ).

tcf(c_25614,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_5742]) ).

tcf(c_25615,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2306]) ).

tcf(c_25616,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_4055]) ).

tcf(c_25617,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_3410]) ).

tcf(c_25618,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_3318]) ).

tcf(c_25619,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2939]) ).

tcf(c_25620,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2464]) ).

tcf(c_25621,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2403]) ).

tcf(c_25622,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2375]) ).

tcf(c_25623,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_4054]) ).

tcf(c_25624,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_4053]) ).

tcf(c_25625,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2305]) ).

tcf(c_25626,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_2314]) ).

tcf(c_25627,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_2313]) ).

tcf(c_25628,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2342]) ).

tcf(c_25629,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2341]) ).

tcf(c_25630,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_2340]) ).

tcf(c_25631,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),xE)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_1259]) ).

tcf(c_25632,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_2312]) ).

tcf(c_25633,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2304]) ).

tcf(c_25634,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_1165]) ).

tcf(c_25703,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(sdtasdt0(xP,xE),xH),
    inference(superposition,[status(thm)],[c_3163,c_25313]) ).

tcf(c_25704,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(sdtasdt0(xP,xE),xH),
    inference(superposition,[status(thm)],[c_2446,c_25313]) ).

tcf(c_25705,plain,
    sdtasdt0(sdtasdt0(xP,xE),xH) = sdtasdt0(xE,sdtasdt0(xP,xH)),
    inference(superposition,[status(thm)],[c_1108,c_25313]) ).

tcf(c_25706,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xP,xE),xH))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xH),xH)) ),
    inference(superposition,[status(thm)],[c_25313,c_1176]) ).

tcf(c_25719,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_4447,c_25331]) ).

tcf(c_25720,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_3164,c_25331]) ).

tcf(c_25721,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_2488,c_25331]) ).

tcf(c_25722,plain,
    sdtasdt0(sdtasdt0(xP,xE),xP) = sdtasdt0(xE,sdtasdt0(xP,xP)),
    inference(superposition,[status(thm)],[c_1108,c_25331]) ).

tcf(c_25723,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xP,xE),xP))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xH),xP)) ),
    inference(superposition,[status(thm)],[c_25331,c_1176]) ).

tcf(c_25753,plain,
    sdtasdt0(sdtasdt0(xP,xE),xE) = sdtasdt0(xE,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_1108,c_25479]) ).

tcf(c_25764,plain,
    sdtasdt0(sdtasdt0(xP,xE),xH) = sdtasdt0(xE,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_3357,c_25703]) ).

tcf(c_25768,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25703,c_8713]) ).

tcf(c_25771,plain,
    aScalar0(sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(global_subsumption_just,[status(thm)],[c_25723,c_127,c_117,c_7801,c_25723]) ).

tcf(c_25776,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_2349,c_25771]) ).

tcf(c_25777,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_2377]) ).

tcf(c_25778,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_8198]) ).

tcf(c_25779,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_8197]) ).

tcf(c_25780,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_8196]) ).

tcf(c_25781,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2487]) ).

tcf(c_25782,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_7528]) ).

tcf(c_25783,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_7527]) ).

tcf(c_25784,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_7526]) ).

tcf(c_25785,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2445]) ).

tcf(c_25786,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_6922]) ).

tcf(c_25787,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_6921]) ).

tcf(c_25788,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_6920]) ).

tcf(c_25789,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2350]) ).

tcf(c_25790,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_5744]) ).

tcf(c_25791,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_5743]) ).

tcf(c_25792,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_5742]) ).

tcf(c_25793,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2306]) ).

tcf(c_25794,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_4055]) ).

tcf(c_25795,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_3410]) ).

tcf(c_25796,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_3318]) ).

tcf(c_25797,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2939]) ).

tcf(c_25798,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2464]) ).

tcf(c_25799,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2403]) ).

tcf(c_25800,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2375]) ).

tcf(c_25801,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_4054]) ).

tcf(c_25802,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_4053]) ).

tcf(c_25803,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2305]) ).

tcf(c_25804,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_2314]) ).

tcf(c_25805,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_2313]) ).

tcf(c_25806,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2342]) ).

tcf(c_25807,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2341]) ).

tcf(c_25808,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_2340]) ).

tcf(c_25809,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),xP)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_1259]) ).

tcf(c_25810,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_2312]) ).

tcf(c_25811,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2304]) ).

tcf(c_25812,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_1165]) ).

tcf(c_25976,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(global_subsumption_just,[status(thm)],[c_25315,c_123,c_117,c_2361,c_2636,c_25315]) ).

tcf(c_25982,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_2377]) ).

tcf(c_25983,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_8198]) ).

tcf(c_25984,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_8197]) ).

tcf(c_25985,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_8196]) ).

tcf(c_25986,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2487]) ).

tcf(c_25987,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_7528]) ).

tcf(c_25988,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_7527]) ).

tcf(c_25989,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_7526]) ).

tcf(c_25990,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2445]) ).

tcf(c_25991,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_6922]) ).

tcf(c_25992,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_6921]) ).

tcf(c_25993,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_6920]) ).

tcf(c_25994,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2350]) ).

tcf(c_25995,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_5744]) ).

tcf(c_25996,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_5743]) ).

tcf(c_25997,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_5742]) ).

tcf(c_25998,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2306]) ).

tcf(c_25999,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_4055]) ).

tcf(c_26000,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_3410]) ).

tcf(c_26001,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_3318]) ).

tcf(c_26002,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2939]) ).

tcf(c_26003,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2464]) ).

tcf(c_26004,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2403]) ).

tcf(c_26005,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2375]) ).

tcf(c_26006,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_4054]) ).

tcf(c_26007,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_4053]) ).

tcf(c_26008,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2305]) ).

tcf(c_26009,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_2314]) ).

tcf(c_26010,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_2313]) ).

tcf(c_26011,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2342]) ).

tcf(c_26012,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2341]) ).

tcf(c_26013,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_2340]) ).

tcf(c_26014,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_1259]) ).

tcf(c_26015,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_2312]) ).

tcf(c_26016,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2304]) ).

tcf(c_26017,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_1165]) ).

tcf(c_26088,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(global_subsumption_just,[status(thm)],[c_25333,c_127,c_123,c_117,c_2361,c_2636,c_25333]) ).

tcf(c_26095,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_2377]) ).

tcf(c_26096,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_8198]) ).

tcf(c_26097,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_8197]) ).

tcf(c_26098,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_8196]) ).

tcf(c_26099,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2487]) ).

tcf(c_26100,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_7528]) ).

tcf(c_26101,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_7527]) ).

tcf(c_26102,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_7526]) ).

tcf(c_26103,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2445]) ).

tcf(c_26104,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_6922]) ).

tcf(c_26105,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_6921]) ).

tcf(c_26106,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_6920]) ).

tcf(c_26107,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2350]) ).

tcf(c_26108,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_5744]) ).

tcf(c_26109,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_5743]) ).

tcf(c_26110,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_5742]) ).

tcf(c_26111,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2306]) ).

tcf(c_26112,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_4055]) ).

tcf(c_26113,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_3410]) ).

tcf(c_26114,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_3318]) ).

tcf(c_26115,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2939]) ).

tcf(c_26116,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2464]) ).

tcf(c_26117,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2403]) ).

tcf(c_26118,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2375]) ).

tcf(c_26119,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_4054]) ).

tcf(c_26120,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_4053]) ).

tcf(c_26121,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2305]) ).

tcf(c_26122,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_2314]) ).

tcf(c_26123,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_2313]) ).

tcf(c_26124,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2342]) ).

tcf(c_26125,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2341]) ).

tcf(c_26126,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_2340]) ).

tcf(c_26127,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_1259]) ).

tcf(c_26128,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_2312]) ).

tcf(c_26129,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2304]) ).

tcf(c_26130,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_1165]) ).

tcf(c_26244,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_2349,c_25768]) ).

tcf(c_26245,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_2377]) ).

tcf(c_26246,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_8198]) ).

tcf(c_26247,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_8197]) ).

tcf(c_26248,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_8196]) ).

tcf(c_26249,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2487]) ).

tcf(c_26250,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_7528]) ).

tcf(c_26251,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_7527]) ).

tcf(c_26252,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_7526]) ).

tcf(c_26253,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2445]) ).

tcf(c_26254,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_6922]) ).

tcf(c_26255,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_6921]) ).

tcf(c_26256,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_6920]) ).

tcf(c_26257,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2350]) ).

tcf(c_26258,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_5744]) ).

tcf(c_26259,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_5743]) ).

tcf(c_26260,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_5742]) ).

tcf(c_26261,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2306]) ).

tcf(c_26262,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_4055]) ).

tcf(c_26263,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_3410]) ).

tcf(c_26264,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_3318]) ).

tcf(c_26265,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2939]) ).

tcf(c_26266,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2464]) ).

tcf(c_26267,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2403]) ).

tcf(c_26268,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2375]) ).

tcf(c_26269,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_4054]) ).

tcf(c_26270,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_4053]) ).

tcf(c_26271,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2305]) ).

tcf(c_26272,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_2314]) ).

tcf(c_26273,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_2313]) ).

tcf(c_26274,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2342]) ).

tcf(c_26275,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2341]) ).

tcf(c_26276,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_2340]) ).

tcf(c_26277,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),xH)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_1259]) ).

tcf(c_26278,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_2312]) ).

tcf(c_26279,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2304]) ).

tcf(c_26280,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_1165]) ).

tcf(c_26425,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_2377]) ).

tcf(c_26426,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_8198]) ).

tcf(c_26427,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_8197]) ).

tcf(c_26428,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_8196]) ).

tcf(c_26429,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2487]) ).

tcf(c_26430,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_7528]) ).

tcf(c_26431,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_7527]) ).

tcf(c_26432,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_7526]) ).

tcf(c_26433,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2445]) ).

tcf(c_26434,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_6922]) ).

tcf(c_26435,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_6921]) ).

tcf(c_26436,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_6920]) ).

tcf(c_26437,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2350]) ).

tcf(c_26438,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_5744]) ).

tcf(c_26439,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_5743]) ).

tcf(c_26440,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_5742]) ).

tcf(c_26441,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2306]) ).

tcf(c_26442,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_4055]) ).

tcf(c_26443,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_3410]) ).

tcf(c_26444,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_3318]) ).

tcf(c_26445,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2939]) ).

tcf(c_26446,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2464]) ).

tcf(c_26447,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2403]) ).

tcf(c_26448,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2375]) ).

tcf(c_26449,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_4054]) ).

tcf(c_26450,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_4053]) ).

tcf(c_26451,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2305]) ).

tcf(c_26452,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_2314]) ).

tcf(c_26453,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_2313]) ).

tcf(c_26454,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2342]) ).

tcf(c_26455,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2341]) ).

tcf(c_26456,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_2340]) ).

tcf(c_26457,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),xP)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_1259]) ).

tcf(c_26458,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_2312]) ).

tcf(c_26459,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2304]) ).

tcf(c_26460,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_1165]) ).

tcf(c_26472,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_2377]) ).

tcf(c_26473,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_8198]) ).

tcf(c_26474,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_8197]) ).

tcf(c_26475,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_8196]) ).

tcf(c_26476,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2487]) ).

tcf(c_26477,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_7528]) ).

tcf(c_26478,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_7527]) ).

tcf(c_26479,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_7526]) ).

tcf(c_26480,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2445]) ).

tcf(c_26481,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_6922]) ).

tcf(c_26482,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_6921]) ).

tcf(c_26483,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_6920]) ).

tcf(c_26484,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2350]) ).

tcf(c_26485,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_5744]) ).

tcf(c_26486,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_5743]) ).

tcf(c_26487,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_5742]) ).

tcf(c_26488,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2306]) ).

tcf(c_26489,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_4055]) ).

tcf(c_26490,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_3410]) ).

tcf(c_26491,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_3318]) ).

tcf(c_26492,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2939]) ).

tcf(c_26493,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2464]) ).

tcf(c_26494,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2403]) ).

tcf(c_26495,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2375]) ).

tcf(c_26496,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_4054]) ).

tcf(c_26497,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_4053]) ).

tcf(c_26498,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2305]) ).

tcf(c_26499,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_2314]) ).

tcf(c_26500,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_2313]) ).

tcf(c_26501,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2342]) ).

tcf(c_26502,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2341]) ).

tcf(c_26503,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_2340]) ).

tcf(c_26504,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),xH)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_1259]) ).

tcf(c_26505,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_2312]) ).

tcf(c_26506,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2304]) ).

tcf(c_26507,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_1165]) ).

tcf(c_26622,plain,
    sdtasdt0(sdtasdt0(xE,xP),xH) = sdtasdt0(xE,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_2349,c_25764]) ).

tcf(c_26669,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_25719,c_18015]) ).

tcf(c_26693,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_25721,c_18278]) ).

tcf(c_26721,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_2349,c_26693]) ).

tcf(c_26740,plain,
    sdtasdt0(sdtasdt0(xE,xP),xP) = sdtasdt0(sdtasdt0(xP,xE),xP),
    inference(superposition,[status(thm)],[c_26721,c_25719]) ).

tcf(c_26741,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_26721,c_18017]) ).

tcf(c_26742,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_26721,c_18015]) ).

tcf(c_26745,plain,
    sdtasdt0(sdtasdt0(xE,xP),xP) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_26721,c_9544]) ).

tcf(c_26756,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(xE,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2343]) ).

tcf(c_26757,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(xH,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2343]) ).

tcf(c_26758,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(xP,X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2343]) ).

tcf(c_26759,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] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2),X3_iProver_sdtasdt0_2) = sdtasdt0(X3_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X3_iProver_sdtasdt0_2)
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2343]) ).

tcf(c_26760,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2343]) ).

tcf(c_26761,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2343]) ).

tcf(c_26763,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2343]) ).

tcf(c_26765,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2343]) ).

tcf(c_26766,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2343]) ).

tcf(c_26767,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2343]) ).

tcf(c_26768,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2343]) ).

tcf(c_26769,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2343]) ).

tcf(c_26770,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2343]) ).

tcf(c_26771,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2343]) ).

tcf(c_26772,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2343]) ).

tcf(c_26773,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2343]) ).

tcf(c_26774,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2343]) ).

tcf(c_26775,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2343]) ).

tcf(c_26776,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2343]) ).

tcf(c_26777,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2343]) ).

tcf(c_26778,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2343]) ).

tcf(c_26779,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2343]) ).

tcf(c_26780,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2343]) ).

tcf(c_26781,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2343]) ).

tcf(c_26782,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2343]) ).

tcf(c_26783,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2343]) ).

tcf(c_26784,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2343]) ).

tcf(c_26785,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2343]) ).

tcf(c_26786,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2343]) ).

tcf(c_26787,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2343]) ).

tcf(c_26788,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2343]) ).

tcf(c_26789,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2343]) ).

tcf(c_26790,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2343]) ).

tcf(c_26791,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2343]) ).

tcf(c_26792,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2343]) ).

tcf(c_26793,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2343]) ).

tcf(c_26794,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2343]) ).

tcf(c_26795,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2343]) ).

tcf(c_26796,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2343]) ).

tcf(c_26797,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2343]) ).

tcf(c_26798,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2343]) ).

tcf(c_26799,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2343]) ).

tcf(c_26800,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2343]) ).

tcf(c_26801,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2343]) ).

tcf(c_26802,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2343]) ).

tcf(c_26803,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2343]) ).

tcf(c_26804,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2343]) ).

tcf(c_26805,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2343]) ).

tcf(c_26806,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2343]) ).

tcf(c_26807,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2343]) ).

tcf(c_26808,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2343]) ).

tcf(c_26809,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2343]) ).

tcf(c_26810,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2343]) ).

tcf(c_26811,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2343]) ).

tcf(c_26812,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2343]) ).

tcf(c_26813,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2343]) ).

tcf(c_26814,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2343]) ).

tcf(c_26815,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2343]) ).

tcf(c_26816,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2343]) ).

tcf(c_26817,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2343]) ).

tcf(c_26818,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2343]) ).

tcf(c_26819,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2343]) ).

tcf(c_26820,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2343]) ).

tcf(c_26821,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2343]) ).

tcf(c_26822,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2343]) ).

tcf(c_26823,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2343]) ).

tcf(c_26824,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2343]) ).

tcf(c_26825,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2343]) ).

tcf(c_26826,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2343]) ).

tcf(c_26827,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2343]) ).

tcf(c_26828,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2343]) ).

tcf(c_26829,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2343]) ).

tcf(c_26830,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2343]) ).

tcf(c_26831,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2343]) ).

tcf(c_26832,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2343]) ).

tcf(c_26833,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2343]) ).

tcf(c_26834,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2343]) ).

tcf(c_26835,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2343]) ).

tcf(c_26836,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2343]) ).

tcf(c_26837,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2343]) ).

tcf(c_26838,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2343]) ).

tcf(c_26839,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2343]) ).

tcf(c_26840,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2343]) ).

tcf(c_26841,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2343]) ).

tcf(c_26842,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2343]) ).

tcf(c_26843,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2343]) ).

tcf(c_26844,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2343]) ).

tcf(c_26845,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2343]) ).

tcf(c_26846,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2343]) ).

tcf(c_26847,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2343]) ).

tcf(c_26848,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2343]) ).

tcf(c_26849,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2343]) ).

tcf(c_26850,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2343]) ).

tcf(c_26851,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2343]) ).

tcf(c_26852,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2343]) ).

tcf(c_26853,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2343]) ).

tcf(c_26854,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2343]) ).

tcf(c_26855,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2343]) ).

tcf(c_26856,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2343]) ).

tcf(c_26857,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2343]) ).

tcf(c_26858,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2343]) ).

tcf(c_26859,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2343]) ).

tcf(c_26860,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2343]) ).

tcf(c_26861,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2343]) ).

tcf(c_26862,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2343]) ).

tcf(c_26863,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2343]) ).

tcf(c_26864,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2343]) ).

tcf(c_26865,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2343]) ).

tcf(c_26866,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2343]) ).

tcf(c_26867,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2343]) ).

tcf(c_26868,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2343]) ).

tcf(c_26869,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2343]) ).

tcf(c_26870,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2343]) ).

tcf(c_26871,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2343]) ).

tcf(c_26872,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2343]) ).

tcf(c_26873,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2343]) ).

tcf(c_26874,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2343]) ).

tcf(c_26875,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2343]) ).

tcf(c_26876,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2343]) ).

tcf(c_26877,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2343]) ).

tcf(c_26878,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2343]) ).

tcf(c_26879,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2343]) ).

tcf(c_26880,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2343]) ).

tcf(c_26881,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2343]) ).

tcf(c_26882,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2343]) ).

tcf(c_26883,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2343]) ).

tcf(c_26884,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2343]) ).

tcf(c_26885,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2343]) ).

tcf(c_26886,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2343]) ).

tcf(c_26887,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2343]) ).

tcf(c_26888,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2343]) ).

tcf(c_26889,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2343]) ).

tcf(c_26890,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2343]) ).

tcf(c_26891,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2343]) ).

tcf(c_26892,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2343]) ).

tcf(c_26893,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2343]) ).

tcf(c_26894,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2343]) ).

tcf(c_26895,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2343]) ).

tcf(c_26896,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2343]) ).

tcf(c_26897,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2343]) ).

tcf(c_26898,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2343]) ).

tcf(c_26899,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2343]) ).

tcf(c_26900,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2343]) ).

tcf(c_27461,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,xE)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_26756]) ).

tcf(c_27464,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),X2_iProver_sdtasdt0_2) = sdtasdt0(X2_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_26756]) ).

tcf(c_27465,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_26756]) ).

tcf(c_27497,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_26756]) ).

tcf(c_27498,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_26756]) ).

tcf(c_27499,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_26756]) ).

tcf(c_27500,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_26756]) ).

tcf(c_27501,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_26756]) ).

tcf(c_27502,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_26756]) ).

tcf(c_27503,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_26756]) ).

tcf(c_27507,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_26756]) ).

tcf(c_27508,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_26756]) ).

tcf(c_27509,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_26756]) ).

tcf(c_27510,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_26756]) ).

tcf(c_27511,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_26756]) ).

tcf(c_27512,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_26756]) ).

tcf(c_27513,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_26756]) ).

tcf(c_27514,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_26756]) ).

tcf(c_27515,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_26756]) ).

tcf(c_27516,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_26756]) ).

tcf(c_27517,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_26756]) ).

tcf(c_27518,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_26756]) ).

tcf(c_27519,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_26756]) ).

tcf(c_27520,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_26756]) ).

tcf(c_27521,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_26756]) ).

tcf(c_27522,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_26756]) ).

tcf(c_27523,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_26756]) ).

tcf(c_27524,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_26756]) ).

tcf(c_27525,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_26756]) ).

tcf(c_27526,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_26756]) ).

tcf(c_27527,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_26756]) ).

tcf(c_27528,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_26756]) ).

tcf(c_27529,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_26756]) ).

tcf(c_27530,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_26756]) ).

tcf(c_27531,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_26756]) ).

tcf(c_27532,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_26756]) ).

tcf(c_27533,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_26756]) ).

tcf(c_27534,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_26756]) ).

tcf(c_27535,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_26756]) ).

tcf(c_27536,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_26756]) ).

tcf(c_27537,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_26756]) ).

tcf(c_27538,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_26756]) ).

tcf(c_27539,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_26756]) ).

tcf(c_27540,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_26756]) ).

tcf(c_27541,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_26756]) ).

tcf(c_27542,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_26756]) ).

tcf(c_27543,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_26756]) ).

tcf(c_27544,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_26756]) ).

tcf(c_27545,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_26756]) ).

tcf(c_27546,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_26756]) ).

tcf(c_27547,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_26756]) ).

tcf(c_27548,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_26756]) ).

tcf(c_27549,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_26756]) ).

tcf(c_27550,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_26756]) ).

tcf(c_27551,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_26756]) ).

tcf(c_27552,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_26756]) ).

tcf(c_27553,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_26756]) ).

tcf(c_27554,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_26756]) ).

tcf(c_27555,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_26756]) ).

tcf(c_27556,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_26756]) ).

tcf(c_27557,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_26756]) ).

tcf(c_27558,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_26756]) ).

tcf(c_27559,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_26756]) ).

tcf(c_27560,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_26756]) ).

tcf(c_27561,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_26756]) ).

tcf(c_27562,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_26756]) ).

tcf(c_27563,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_26756]) ).

tcf(c_27564,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_26756]) ).

tcf(c_27565,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_26756]) ).

tcf(c_27566,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_26756]) ).

tcf(c_27567,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_26756]) ).

tcf(c_27568,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_26756]) ).

tcf(c_27569,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_26756]) ).

tcf(c_27570,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_26756]) ).

tcf(c_27571,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_26756]) ).

tcf(c_27572,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_26756]) ).

tcf(c_27573,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_26756]) ).

tcf(c_27574,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_26756]) ).

tcf(c_27575,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_26756]) ).

tcf(c_27576,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_26756]) ).

tcf(c_27577,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_26756]) ).

tcf(c_27578,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_26756]) ).

tcf(c_27579,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_26756]) ).

tcf(c_27580,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_26756]) ).

tcf(c_27581,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_26756]) ).

tcf(c_27582,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_26756]) ).

tcf(c_27583,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_26756]) ).

tcf(c_27584,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_26756]) ).

tcf(c_27585,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_26756]) ).

tcf(c_27586,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_26756]) ).

tcf(c_27587,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_26756]) ).

tcf(c_27588,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_26756]) ).

tcf(c_27589,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_26756]) ).

tcf(c_27590,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_26756]) ).

tcf(c_27591,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_26756]) ).

tcf(c_27592,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_26756]) ).

tcf(c_27593,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_26756]) ).

tcf(c_27594,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_26756]) ).

tcf(c_27595,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_26756]) ).

tcf(c_27596,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_26756]) ).

tcf(c_27597,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_26756]) ).

tcf(c_27598,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_26756]) ).

tcf(c_27599,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_26756]) ).

tcf(c_27600,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_26756]) ).

tcf(c_27601,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_26756]) ).

tcf(c_27602,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_26756]) ).

tcf(c_27603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_26756]) ).

tcf(c_27604,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_26756]) ).

tcf(c_27605,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_26756]) ).

tcf(c_28102,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_27461]) ).

tcf(c_28103,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_27461]) ).

tcf(c_28104,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_27461]) ).

tcf(c_28106,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_27461]) ).

tcf(c_28108,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_2371,c_27461]) ).

tcf(c_28109,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_2400,c_27461]) ).

tcf(c_28110,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_2460,c_27461]) ).

tcf(c_28111,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_27461]) ).

tcf(c_28112,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_27461]) ).

tcf(c_28113,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_27461]) ).

tcf(c_28114,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_27461]) ).

tcf(c_28115,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_27461]) ).

tcf(c_28116,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_27461]) ).

tcf(c_28117,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_27461]) ).

tcf(c_28118,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_2887,c_27461]) ).

tcf(c_28119,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_27461]) ).

tcf(c_28120,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_27461]) ).

tcf(c_28121,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_27461]) ).

tcf(c_28122,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_27461]) ).

tcf(c_28123,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_3311,c_27461]) ).

tcf(c_28124,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_27461]) ).

tcf(c_28125,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,xE)),
    inference(superposition,[status(thm)],[c_3360,c_27461]) ).

tcf(c_28126,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_27461]) ).

tcf(c_28127,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_27461]) ).

tcf(c_28128,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_27461]) ).

tcf(c_28129,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_27461]) ).

tcf(c_28130,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_27461]) ).

tcf(c_28131,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_27461]) ).

tcf(c_28132,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_27461]) ).

tcf(c_28133,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_27461]) ).

tcf(c_28134,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_27461]) ).

tcf(c_28135,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_27461]) ).

tcf(c_28136,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_27461]) ).

tcf(c_28137,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_27461]) ).

tcf(c_28138,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_27461]) ).

tcf(c_28139,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_27461]) ).

tcf(c_28140,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_27461]) ).

tcf(c_28141,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_27461]) ).

tcf(c_28142,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_27461]) ).

tcf(c_28143,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_27461]) ).

tcf(c_28144,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_27461]) ).

tcf(c_28145,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_27461]) ).

tcf(c_28146,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_27461]) ).

tcf(c_28147,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_27461]) ).

tcf(c_28148,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_27461]) ).

tcf(c_28149,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_27461]) ).

tcf(c_28150,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_27461]) ).

tcf(c_28151,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_27461]) ).

tcf(c_28152,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_27461]) ).

tcf(c_28153,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_27461]) ).

tcf(c_28154,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_27461]) ).

tcf(c_28155,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_27461]) ).

tcf(c_28156,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_27461]) ).

tcf(c_28157,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_27461]) ).

tcf(c_28158,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_27461]) ).

tcf(c_28159,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_27461]) ).

tcf(c_28160,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_27461]) ).

tcf(c_28161,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_27461]) ).

tcf(c_28162,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_27461]) ).

tcf(c_28163,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_27461]) ).

tcf(c_28164,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_27461]) ).

tcf(c_28165,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_27461]) ).

tcf(c_28166,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_27461]) ).

tcf(c_28167,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_27461]) ).

tcf(c_28168,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_27461]) ).

tcf(c_28169,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_27461]) ).

tcf(c_28170,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_27461]) ).

tcf(c_28171,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_27461]) ).

tcf(c_28172,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_27461]) ).

tcf(c_28173,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_27461]) ).

tcf(c_28174,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_27461]) ).

tcf(c_28175,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_27461]) ).

tcf(c_28176,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_27461]) ).

tcf(c_28177,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_27461]) ).

tcf(c_28178,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_27461]) ).

tcf(c_28179,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_27461]) ).

tcf(c_28180,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_27461]) ).

tcf(c_28181,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_27461]) ).

tcf(c_28182,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_27461]) ).

tcf(c_28183,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_27461]) ).

tcf(c_28184,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_27461]) ).

tcf(c_28185,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_27461]) ).

tcf(c_28186,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_27461]) ).

tcf(c_28187,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_27461]) ).

tcf(c_28188,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_27461]) ).

tcf(c_28189,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_27461]) ).

tcf(c_28190,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_27461]) ).

tcf(c_28191,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_27461]) ).

tcf(c_28192,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_27461]) ).

tcf(c_28193,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_27461]) ).

tcf(c_28194,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_27461]) ).

tcf(c_28195,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_27461]) ).

tcf(c_28196,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_27461]) ).

tcf(c_28197,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_27461]) ).

tcf(c_28198,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_27461]) ).

tcf(c_28199,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_27461]) ).

tcf(c_28200,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_27461]) ).

tcf(c_28201,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_27461]) ).

tcf(c_28202,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_27461]) ).

tcf(c_28203,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_27461]) ).

tcf(c_28204,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_27461]) ).

tcf(c_28205,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_27461]) ).

tcf(c_28206,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_27461]) ).

tcf(c_28207,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_27461]) ).

tcf(c_28208,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_27461]) ).

tcf(c_28209,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_27461]) ).

tcf(c_28210,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_27461]) ).

tcf(c_28211,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_27461]) ).

tcf(c_28212,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_27461]) ).

tcf(c_28213,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_27461]) ).

tcf(c_28214,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_27461]) ).

tcf(c_28215,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_27461]) ).

tcf(c_28216,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_27461]) ).

tcf(c_28217,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_27461]) ).

tcf(c_28218,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_27461]) ).

tcf(c_28219,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_27461]) ).

tcf(c_28220,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_27461]) ).

tcf(c_28221,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_27461]) ).

tcf(c_28222,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_27461]) ).

tcf(c_28223,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_27461]) ).

tcf(c_28224,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_27461]) ).

tcf(c_28225,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_27461]) ).

tcf(c_28226,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_27461]) ).

tcf(c_28227,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_27461]) ).

tcf(c_28228,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_27461]) ).

tcf(c_28229,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_27461]) ).

tcf(c_28230,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_27461]) ).

tcf(c_28231,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_27461]) ).

tcf(c_28232,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_27461]) ).

tcf(c_28233,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_27461]) ).

tcf(c_28234,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_27461]) ).

tcf(c_28235,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_27461]) ).

tcf(c_28236,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_27461]) ).

tcf(c_28237,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_27461]) ).

tcf(c_28238,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_27461]) ).

tcf(c_28239,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_27461]) ).

tcf(c_28240,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_27461]) ).

tcf(c_28241,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_27461]) ).

tcf(c_28242,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_27461]) ).

tcf(c_28243,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_27461]) ).

tcf(c_28603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xE),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,xE)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_26757]) ).

tcf(c_28604,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,xH),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,xH)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_26757]) ).

tcf(c_28606,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),X2_iProver_sdtasdt0_2) = sdtasdt0(X2_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_26757]) ).

tcf(c_28607,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_26757]) ).

tcf(c_28639,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_26757]) ).

tcf(c_28640,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_26757]) ).

tcf(c_28641,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_26757]) ).

tcf(c_28642,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_26757]) ).

tcf(c_28643,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_26757]) ).

tcf(c_28644,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_26757]) ).

tcf(c_28645,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_26757]) ).

tcf(c_28649,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_26757]) ).

tcf(c_28650,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_26757]) ).

tcf(c_28651,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_26757]) ).

tcf(c_28652,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_26757]) ).

tcf(c_28653,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_26757]) ).

tcf(c_28654,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_26757]) ).

tcf(c_28655,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_26757]) ).

tcf(c_28656,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_26757]) ).

tcf(c_28657,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_26757]) ).

tcf(c_28658,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_26757]) ).

tcf(c_28659,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_26757]) ).

tcf(c_28660,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_26757]) ).

tcf(c_28661,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_26757]) ).

tcf(c_28662,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_26757]) ).

tcf(c_28663,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_26757]) ).

tcf(c_28664,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_26757]) ).

tcf(c_28665,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_26757]) ).

tcf(c_28666,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_26757]) ).

tcf(c_28667,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_26757]) ).

tcf(c_28668,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_26757]) ).

tcf(c_28669,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_26757]) ).

tcf(c_28670,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_26757]) ).

tcf(c_28671,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_26757]) ).

tcf(c_28672,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_26757]) ).

tcf(c_28673,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_26757]) ).

tcf(c_28674,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_26757]) ).

tcf(c_28675,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_26757]) ).

tcf(c_28676,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_26757]) ).

tcf(c_28677,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_26757]) ).

tcf(c_28678,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_26757]) ).

tcf(c_28679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_26757]) ).

tcf(c_28680,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_26757]) ).

tcf(c_28681,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_26757]) ).

tcf(c_28682,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_26757]) ).

tcf(c_28683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_26757]) ).

tcf(c_28684,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_26757]) ).

tcf(c_28685,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_26757]) ).

tcf(c_28686,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_26757]) ).

tcf(c_28687,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_26757]) ).

tcf(c_28688,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_26757]) ).

tcf(c_28689,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_26757]) ).

tcf(c_28690,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_26757]) ).

tcf(c_28691,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_26757]) ).

tcf(c_28692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_26757]) ).

tcf(c_28693,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_26757]) ).

tcf(c_28694,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_26757]) ).

tcf(c_28695,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_26757]) ).

tcf(c_28696,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_26757]) ).

tcf(c_28697,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_26757]) ).

tcf(c_28698,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_26757]) ).

tcf(c_28699,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_26757]) ).

tcf(c_28700,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_26757]) ).

tcf(c_28701,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_26757]) ).

tcf(c_28702,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_26757]) ).

tcf(c_28703,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_26757]) ).

tcf(c_28704,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_26757]) ).

tcf(c_28705,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_26757]) ).

tcf(c_28706,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_26757]) ).

tcf(c_28707,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_26757]) ).

tcf(c_28708,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_26757]) ).

tcf(c_28709,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_26757]) ).

tcf(c_28710,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_26757]) ).

tcf(c_28711,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_26757]) ).

tcf(c_28712,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_26757]) ).

tcf(c_28713,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_26757]) ).

tcf(c_28714,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_26757]) ).

tcf(c_28715,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_26757]) ).

tcf(c_28716,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_26757]) ).

tcf(c_28717,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_26757]) ).

tcf(c_28718,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_26757]) ).

tcf(c_28719,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_26757]) ).

tcf(c_28720,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_26757]) ).

tcf(c_28721,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_26757]) ).

tcf(c_28722,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_26757]) ).

tcf(c_28723,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_26757]) ).

tcf(c_28724,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_26757]) ).

tcf(c_28725,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_26757]) ).

tcf(c_28726,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_26757]) ).

tcf(c_28727,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_26757]) ).

tcf(c_28728,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_26757]) ).

tcf(c_28729,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_26757]) ).

tcf(c_28730,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_26757]) ).

tcf(c_28731,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_26757]) ).

tcf(c_28732,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_26757]) ).

tcf(c_28733,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_26757]) ).

tcf(c_28734,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_26757]) ).

tcf(c_28735,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_26757]) ).

tcf(c_28736,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_26757]) ).

tcf(c_28737,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_26757]) ).

tcf(c_28738,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_26757]) ).

tcf(c_28739,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_26757]) ).

tcf(c_28740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_26757]) ).

tcf(c_28741,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_26757]) ).

tcf(c_28742,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_26757]) ).

tcf(c_28743,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_26757]) ).

tcf(c_28744,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_26757]) ).

tcf(c_28745,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_26757]) ).

tcf(c_28746,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_26757]) ).

tcf(c_28747,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_26757]) ).

tcf(c_29692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_28603]) ).

tcf(c_29693,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_28603]) ).

tcf(c_29694,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_28603]) ).

tcf(c_29696,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_28603]) ).

tcf(c_29698,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2371,c_28603]) ).

tcf(c_29699,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2400,c_28603]) ).

tcf(c_29700,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_2460,c_28603]) ).

tcf(c_29701,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_28603]) ).

tcf(c_29702,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_28603]) ).

tcf(c_29703,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_28603]) ).

tcf(c_29704,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_28603]) ).

tcf(c_29705,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_28603]) ).

tcf(c_29706,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_28603]) ).

tcf(c_29707,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_28603]) ).

tcf(c_29708,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_2887,c_28603]) ).

tcf(c_29709,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_28603]) ).

tcf(c_29710,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_28603]) ).

tcf(c_29711,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_28603]) ).

tcf(c_29712,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_28603]) ).

tcf(c_29713,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_3311,c_28603]) ).

tcf(c_29714,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_28603]) ).

tcf(c_29715,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,xE)),
    inference(superposition,[status(thm)],[c_3360,c_28603]) ).

tcf(c_29716,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_28603]) ).

tcf(c_29717,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_28603]) ).

tcf(c_29718,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_28603]) ).

tcf(c_29719,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_28603]) ).

tcf(c_29720,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_28603]) ).

tcf(c_29721,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_28603]) ).

tcf(c_29722,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_28603]) ).

tcf(c_29723,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_28603]) ).

tcf(c_29724,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_28603]) ).

tcf(c_29725,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_28603]) ).

tcf(c_29726,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_28603]) ).

tcf(c_29727,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_28603]) ).

tcf(c_29728,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_28603]) ).

tcf(c_29729,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_28603]) ).

tcf(c_29730,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_28603]) ).

tcf(c_29731,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_28603]) ).

tcf(c_29732,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_28603]) ).

tcf(c_29733,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_28603]) ).

tcf(c_29734,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_28603]) ).

tcf(c_29735,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_28603]) ).

tcf(c_29736,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_28603]) ).

tcf(c_29737,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_28603]) ).

tcf(c_29738,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_28603]) ).

tcf(c_29739,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_28603]) ).

tcf(c_29740,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_28603]) ).

tcf(c_29741,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_28603]) ).

tcf(c_29742,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_28603]) ).

tcf(c_29743,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_28603]) ).

tcf(c_29744,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_28603]) ).

tcf(c_29745,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_28603]) ).

tcf(c_29746,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_28603]) ).

tcf(c_29747,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_28603]) ).

tcf(c_29748,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_28603]) ).

tcf(c_29749,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_28603]) ).

tcf(c_29750,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_28603]) ).

tcf(c_29751,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_28603]) ).

tcf(c_29752,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_28603]) ).

tcf(c_29753,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_28603]) ).

tcf(c_29754,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_28603]) ).

tcf(c_29755,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_28603]) ).

tcf(c_29756,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_28603]) ).

tcf(c_29757,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_28603]) ).

tcf(c_29758,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_28603]) ).

tcf(c_29759,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_28603]) ).

tcf(c_29760,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_28603]) ).

tcf(c_29761,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_28603]) ).

tcf(c_29762,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_28603]) ).

tcf(c_29763,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_28603]) ).

tcf(c_29764,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_28603]) ).

tcf(c_29765,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_28603]) ).

tcf(c_29766,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_28603]) ).

tcf(c_29767,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_28603]) ).

tcf(c_29768,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_28603]) ).

tcf(c_29769,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_28603]) ).

tcf(c_29770,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_28603]) ).

tcf(c_29771,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_28603]) ).

tcf(c_29772,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_28603]) ).

tcf(c_29773,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_28603]) ).

tcf(c_29774,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_28603]) ).

tcf(c_29775,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_28603]) ).

tcf(c_29776,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_28603]) ).

tcf(c_29777,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_28603]) ).

tcf(c_29778,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_28603]) ).

tcf(c_29779,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_28603]) ).

tcf(c_29780,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_28603]) ).

tcf(c_29781,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_28603]) ).

tcf(c_29782,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_28603]) ).

tcf(c_29783,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_28603]) ).

tcf(c_29784,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_28603]) ).

tcf(c_29785,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_28603]) ).

tcf(c_29786,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_28603]) ).

tcf(c_29787,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_28603]) ).

tcf(c_29788,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_28603]) ).

tcf(c_29789,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_28603]) ).

tcf(c_29790,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_28603]) ).

tcf(c_29791,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_28603]) ).

tcf(c_29792,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_28603]) ).

tcf(c_29793,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_28603]) ).

tcf(c_29794,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_28603]) ).

tcf(c_29795,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_28603]) ).

tcf(c_29796,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_28603]) ).

tcf(c_29797,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_28603]) ).

tcf(c_29798,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_28603]) ).

tcf(c_29799,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_28603]) ).

tcf(c_29800,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_28603]) ).

tcf(c_29801,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_28603]) ).

tcf(c_29802,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_28603]) ).

tcf(c_29803,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_28603]) ).

tcf(c_29804,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_28603]) ).

tcf(c_29805,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_28603]) ).

tcf(c_29806,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_28603]) ).

tcf(c_29807,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_28603]) ).

tcf(c_29808,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_28603]) ).

tcf(c_29809,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_28603]) ).

tcf(c_29810,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_28603]) ).

tcf(c_29811,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_28603]) ).

tcf(c_29812,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_28603]) ).

tcf(c_29813,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_28603]) ).

tcf(c_29814,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_28603]) ).

tcf(c_29815,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_28603]) ).

tcf(c_29816,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_28603]) ).

tcf(c_29817,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_28603]) ).

tcf(c_29818,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_28603]) ).

tcf(c_29819,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_28603]) ).

tcf(c_29820,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_28603]) ).

tcf(c_29821,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_28603]) ).

tcf(c_29822,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_28603]) ).

tcf(c_29823,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_28603]) ).

tcf(c_29824,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_28603]) ).

tcf(c_29825,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_28603]) ).

tcf(c_29826,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_28603]) ).

tcf(c_29827,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_28603]) ).

tcf(c_29828,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_28603]) ).

tcf(c_29829,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_28603]) ).

tcf(c_29830,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_28603]) ).

tcf(c_29831,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_28603]) ).

tcf(c_29832,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_28603]) ).

tcf(c_29833,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_28603]) ).

tcf(c_30496,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_28604]) ).

tcf(c_30497,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,xE))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_28604]) ).

tcf(c_30498,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2670,c_28604]) ).

tcf(c_30500,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2704,c_28604]) ).

tcf(c_30502,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xH)),
    inference(superposition,[status(thm)],[c_2371,c_28604]) ).

tcf(c_30503,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_2400,c_28604]) ).

tcf(c_30504,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_2460,c_28604]) ).

tcf(c_30505,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2727,c_28604]) ).

tcf(c_30506,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2762,c_28604]) ).

tcf(c_30507,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2819,c_28604]) ).

tcf(c_30508,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2848,c_28604]) ).

tcf(c_30509,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2885,c_28604]) ).

tcf(c_30510,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2980,c_28604]) ).

tcf(c_30511,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2992,c_28604]) ).

tcf(c_30512,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_2887,c_28604]) ).

tcf(c_30513,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3045,c_28604]) ).

tcf(c_30514,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3070,c_28604]) ).

tcf(c_30515,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_3131,c_28604]) ).

tcf(c_30516,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3478,c_28604]) ).

tcf(c_30517,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_3311,c_28604]) ).

tcf(c_30518,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_3359,c_28604]) ).

tcf(c_30519,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,xH)),
    inference(superposition,[status(thm)],[c_3360,c_28604]) ).

tcf(c_30520,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3528,c_28604]) ).

tcf(c_30521,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3580,c_28604]) ).

tcf(c_30522,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3638,c_28604]) ).

tcf(c_30523,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3701,c_28604]) ).

tcf(c_30524,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3727,c_28604]) ).

tcf(c_30525,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3772,c_28604]) ).

tcf(c_30526,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4495,c_28604]) ).

tcf(c_30527,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_4710,c_28604]) ).

tcf(c_30528,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_4753,c_28604]) ).

tcf(c_30529,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9036,c_28604]) ).

tcf(c_30530,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9139,c_28604]) ).

tcf(c_30531,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_9223,c_28604]) ).

tcf(c_30532,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9418,c_28604]) ).

tcf(c_30533,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9568,c_28604]) ).

tcf(c_30534,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9652,c_28604]) ).

tcf(c_30535,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_9818,c_28604]) ).

tcf(c_30536,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6147,c_28604]) ).

tcf(c_30537,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_6380,c_28604]) ).

tcf(c_30538,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_6503,c_28604]) ).

tcf(c_30539,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_9959,c_28604]) ).

tcf(c_30540,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_10110,c_28604]) ).

tcf(c_30541,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_8711,c_28604]) ).

tcf(c_30542,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10589,c_28604]) ).

tcf(c_30543,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10653,c_28604]) ).

tcf(c_30544,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_10813,c_28604]) ).

tcf(c_30545,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11014,c_28604]) ).

tcf(c_30546,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_11892,c_28604]) ).

tcf(c_30547,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_12029,c_28604]) ).

tcf(c_30548,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10591,c_28604]) ).

tcf(c_30549,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_10655,c_28604]) ).

tcf(c_30550,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12405,c_28604]) ).

tcf(c_30551,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12483,c_28604]) ).

tcf(c_30552,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_12997,c_28604]) ).

tcf(c_30553,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_12157,c_28604]) ).

tcf(c_30554,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13548,c_28604]) ).

tcf(c_30555,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_13721,c_28604]) ).

tcf(c_30556,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_12155,c_28604]) ).

tcf(c_30557,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14194,c_28604]) ).

tcf(c_30558,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14357,c_28604]) ).

tcf(c_30559,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_14444,c_28604]) ).

tcf(c_30560,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14546,c_28604]) ).

tcf(c_30561,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15137,c_28604]) ).

tcf(c_30562,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_15292,c_28604]) ).

tcf(c_30563,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14196,c_28604]) ).

tcf(c_30564,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14359,c_28604]) ).

tcf(c_30565,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_14446,c_28604]) ).

tcf(c_30566,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13550,c_28604]) ).

tcf(c_30567,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_13723,c_28604]) ).

tcf(c_30568,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_8713,c_28604]) ).

tcf(c_30569,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_13000,c_28604]) ).

tcf(c_30570,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15990,c_28604]) ).

tcf(c_30571,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_9961,c_28604]) ).

tcf(c_30572,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_10112,c_28604]) ).

tcf(c_30573,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_16171,c_28604]) ).

tcf(c_30574,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10819,c_28604]) ).

tcf(c_30575,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16480,c_28604]) ).

tcf(c_30576,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16600,c_28604]) ).

tcf(c_30577,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_16777,c_28604]) ).

tcf(c_30578,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_16992,c_28604]) ).

tcf(c_30579,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17085,c_28604]) ).

tcf(c_30580,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17267,c_28604]) ).

tcf(c_30581,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12408,c_28604]) ).

tcf(c_30582,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_12486,c_28604]) ).

tcf(c_30583,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_15646,c_28604]) ).

tcf(c_30584,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_17452,c_28604]) ).

tcf(c_30585,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17687,c_28604]) ).

tcf(c_30586,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17783,c_28604]) ).

tcf(c_30587,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_17879,c_28604]) ).

tcf(c_30588,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10593,c_28604]) ).

tcf(c_30589,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_10657,c_28604]) ).

tcf(c_30590,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_15807,c_28604]) ).

tcf(c_30591,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_18094,c_28604]) ).

tcf(c_30592,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18573,c_28604]) ).

tcf(c_30593,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18663,c_28604]) ).

tcf(c_30594,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_18854,c_28604]) ).

tcf(c_30595,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_18992,c_28604]) ).

tcf(c_30596,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19230,c_28604]) ).

tcf(c_30597,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_19368,c_28604]) ).

tcf(c_30598,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19540,c_28604]) ).

tcf(c_30599,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19670,c_28604]) ).

tcf(c_30600,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_19967,c_28604]) ).

tcf(c_30601,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_20046,c_28604]) ).

tcf(c_30602,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_20472,c_28604]) ).

tcf(c_30603,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_20682,c_28604]) ).

tcf(c_30604,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21252,c_28604]) ).

tcf(c_30605,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_21392,c_28604]) ).

tcf(c_30606,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_21593,c_28604]) ).

tcf(c_30607,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_21680,c_28604]) ).

tcf(c_30608,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_21965,c_28604]) ).

tcf(c_30609,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22072,c_28604]) ).

tcf(c_30610,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22150,c_28604]) ).

tcf(c_30611,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_22236,c_28604]) ).

tcf(c_30612,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_22660,c_28604]) ).

tcf(c_30613,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22750,c_28604]) ).

tcf(c_30614,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_22858,c_28604]) ).

tcf(c_30615,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_23011,c_28604]) ).

tcf(c_30616,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23448,c_28604]) ).

tcf(c_30617,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23580,c_28604]) ).

tcf(c_30618,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_23907,c_28604]) ).

tcf(c_30619,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24001,c_28604]) ).

tcf(c_30620,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24102,c_28604]) ).

tcf(c_30621,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_24190,c_28604]) ).

tcf(c_30622,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24398,c_28604]) ).

tcf(c_30623,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24481,c_28604]) ).

tcf(c_30624,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_24618,c_28604]) ).

tcf(c_30625,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_21969,c_28604]) ).

tcf(c_30626,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_22241,c_28604]) ).

tcf(c_30627,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_22664,c_28604]) ).

tcf(c_30628,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_23016,c_28604]) ).

tcf(c_30629,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),
    inference(superposition,[status(thm)],[c_25337,c_28604]) ).

tcf(c_30630,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),
    inference(superposition,[status(thm)],[c_25976,c_28604]) ).

tcf(c_30631,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),
    inference(superposition,[status(thm)],[c_26088,c_28604]) ).

tcf(c_30632,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),xE)),
    inference(superposition,[status(thm)],[c_25482,c_28604]) ).

tcf(c_30633,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_25491,c_28604]) ).

tcf(c_30634,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),xH)),
    inference(superposition,[status(thm)],[c_25768,c_28604]) ).

tcf(c_30635,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xP,xE),xP)),
    inference(superposition,[status(thm)],[c_25771,c_28604]) ).

tcf(c_30636,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_25776,c_28604]) ).

tcf(c_30637,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_26244,c_28604]) ).

tcf(c_30922,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_4421,c_25309]) ).

tcf(c_30923,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_3162,c_25309]) ).

tcf(c_30929,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)) = sdtasdt0(xH,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3269,c_25316]) ).

tcf(c_30932,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_25316,c_16384]) ).

tcf(c_30946,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_3269,c_25334]) ).

tcf(c_30949,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_25334,c_18224]) ).

tcf(c_30950,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_25334,c_18223]) ).

tcf(c_30951,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_25334,c_16970]) ).

tcf(c_30952,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_25334,c_16969]) ).

tcf(c_30953,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_25334,c_16963]) ).

tcf(c_30979,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xE)) ),
    inference(superposition,[status(thm)],[c_25521,c_1176]) ).

tcf(c_30983,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)),X2_iProver_sdtasdt0_2) = sdtasdt0(X2_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_26758]) ).

tcf(c_30984,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_26758]) ).

tcf(c_31016,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_26758]) ).

tcf(c_31017,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_26758]) ).

tcf(c_31018,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_26758]) ).

tcf(c_31019,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_26758]) ).

tcf(c_31020,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_26758]) ).

tcf(c_31021,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_26758]) ).

tcf(c_31022,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_26758]) ).

tcf(c_31026,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_26758]) ).

tcf(c_31027,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_26758]) ).

tcf(c_31028,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_26758]) ).

tcf(c_31029,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_26758]) ).

tcf(c_31030,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_26758]) ).

tcf(c_31031,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_26758]) ).

tcf(c_31032,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_26758]) ).

tcf(c_31033,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_26758]) ).

tcf(c_31034,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_26758]) ).

tcf(c_31035,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_26758]) ).

tcf(c_31036,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_26758]) ).

tcf(c_31037,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_26758]) ).

tcf(c_31038,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_26758]) ).

tcf(c_31039,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_26758]) ).

tcf(c_31040,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_26758]) ).

tcf(c_31041,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_26758]) ).

tcf(c_31042,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_26758]) ).

tcf(c_31043,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_26758]) ).

tcf(c_31044,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_26758]) ).

tcf(c_31045,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_26758]) ).

tcf(c_31046,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_26758]) ).

tcf(c_31047,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_26758]) ).

tcf(c_31048,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_26758]) ).

tcf(c_31049,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_26758]) ).

tcf(c_31050,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_26758]) ).

tcf(c_31051,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_26758]) ).

tcf(c_31052,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_26758]) ).

tcf(c_31053,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_26758]) ).

tcf(c_31054,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_26758]) ).

tcf(c_31055,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_26758]) ).

tcf(c_31056,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_26758]) ).

tcf(c_31057,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_26758]) ).

tcf(c_31058,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_26758]) ).

tcf(c_31059,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_26758]) ).

tcf(c_31060,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_26758]) ).

tcf(c_31061,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_26758]) ).

tcf(c_31062,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_26758]) ).

tcf(c_31063,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_26758]) ).

tcf(c_31064,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_26758]) ).

tcf(c_31065,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_26758]) ).

tcf(c_31066,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_26758]) ).

tcf(c_31067,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_26758]) ).

tcf(c_31068,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_26758]) ).

tcf(c_31069,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_26758]) ).

tcf(c_31070,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_26758]) ).

tcf(c_31071,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_26758]) ).

tcf(c_31072,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_26758]) ).

tcf(c_31073,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_26758]) ).

tcf(c_31074,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_26758]) ).

tcf(c_31075,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_26758]) ).

tcf(c_31076,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_26758]) ).

tcf(c_31077,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_26758]) ).

tcf(c_31078,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_26758]) ).

tcf(c_31079,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_26758]) ).

tcf(c_31080,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_26758]) ).

tcf(c_31081,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_26758]) ).

tcf(c_31082,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_26758]) ).

tcf(c_31083,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_26758]) ).

tcf(c_31084,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_26758]) ).

tcf(c_31085,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_26758]) ).

tcf(c_31086,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_26758]) ).

tcf(c_31087,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_26758]) ).

tcf(c_31088,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_26758]) ).

tcf(c_31089,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_26758]) ).

tcf(c_31090,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_26758]) ).

tcf(c_31091,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_26758]) ).

tcf(c_31092,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_26758]) ).

tcf(c_31093,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_26758]) ).

tcf(c_31094,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_26758]) ).

tcf(c_31095,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_26758]) ).

tcf(c_31096,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_26758]) ).

tcf(c_31097,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_26758]) ).

tcf(c_31098,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_26758]) ).

tcf(c_31099,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_26758]) ).

tcf(c_31100,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_26758]) ).

tcf(c_31101,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_26758]) ).

tcf(c_31102,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_26758]) ).

tcf(c_31103,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_26758]) ).

tcf(c_31104,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_26758]) ).

tcf(c_31105,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_26758]) ).

tcf(c_31106,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_26758]) ).

tcf(c_31107,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_26758]) ).

tcf(c_31108,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_26758]) ).

tcf(c_31109,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_26758]) ).

tcf(c_31110,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_26758]) ).

tcf(c_31111,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_26758]) ).

tcf(c_31112,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_26758]) ).

tcf(c_31113,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_26758]) ).

tcf(c_31114,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_26758]) ).

tcf(c_31115,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_26758]) ).

tcf(c_31116,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_26758]) ).

tcf(c_31117,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_26758]) ).

tcf(c_31118,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_26758]) ).

tcf(c_31119,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_26758]) ).

tcf(c_31120,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_26758]) ).

tcf(c_31121,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_26758]) ).

tcf(c_31122,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_26758]) ).

tcf(c_31123,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_26758]) ).

tcf(c_31124,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_26758]) ).

tcf(c_31512,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(global_subsumption_just,[status(thm)],[c_30979,c_127,c_25482,c_30979]) ).

tcf(c_31517,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_2349,c_31512]) ).

tcf(c_31518,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_26758]) ).

tcf(c_31519,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_28604]) ).

tcf(c_31520,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_28603]) ).

tcf(c_31521,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_26757]) ).

tcf(c_31522,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_27461]) ).

tcf(c_31523,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_26756]) ).

tcf(c_31524,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2343]) ).

tcf(c_31525,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_2377]) ).

tcf(c_31526,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_8198]) ).

tcf(c_31527,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_8197]) ).

tcf(c_31528,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_8196]) ).

tcf(c_31529,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2487]) ).

tcf(c_31530,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_7528]) ).

tcf(c_31531,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_7527]) ).

tcf(c_31532,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_7526]) ).

tcf(c_31533,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2445]) ).

tcf(c_31534,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_6922]) ).

tcf(c_31535,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_6921]) ).

tcf(c_31536,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_6920]) ).

tcf(c_31537,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2350]) ).

tcf(c_31538,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_5744]) ).

tcf(c_31539,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_5743]) ).

tcf(c_31540,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_5742]) ).

tcf(c_31541,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2306]) ).

tcf(c_31542,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_4055]) ).

tcf(c_31543,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_3410]) ).

tcf(c_31544,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_3318]) ).

tcf(c_31545,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_2939]) ).

tcf(c_31546,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_2464]) ).

tcf(c_31547,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_2403]) ).

tcf(c_31548,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_31512,c_2375]) ).

tcf(c_31549,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_4054]) ).

tcf(c_31550,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_4053]) ).

tcf(c_31551,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2305]) ).

tcf(c_31552,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_2314]) ).

tcf(c_31553,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_2313]) ).

tcf(c_31558,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_2312]) ).

tcf(c_31559,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2304]) ).

tcf(c_31560,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_1165]) ).

tcf(c_31596,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1119,c_2323]) ).

tcf(c_31597,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1113,c_2323]) ).

tcf(c_31598,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1109,c_2323]) ).

tcf(c_31599,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X2_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2),X2_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X2_iProver_sdtasdt0_2)
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2323]) ).

tcf(c_31600,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2)
      | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2323]) ).

tcf(c_31601,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2670,c_2323]) ).

tcf(c_31603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2704,c_2323]) ).

tcf(c_31605,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2371,c_2323]) ).

tcf(c_31606,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2400,c_2323]) ).

tcf(c_31607,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2460,c_2323]) ).

tcf(c_31608,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2727,c_2323]) ).

tcf(c_31609,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2762,c_2323]) ).

tcf(c_31610,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2819,c_2323]) ).

tcf(c_31611,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2848,c_2323]) ).

tcf(c_31612,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2885,c_2323]) ).

tcf(c_31613,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2980,c_2323]) ).

tcf(c_31614,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2992,c_2323]) ).

tcf(c_31615,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xP),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_2887,c_2323]) ).

tcf(c_31616,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3045,c_2323]) ).

tcf(c_31617,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3070,c_2323]) ).

tcf(c_31618,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3131,c_2323]) ).

tcf(c_31619,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3478,c_2323]) ).

tcf(c_31620,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3311,c_2323]) ).

tcf(c_31621,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3359,c_2323]) ).

tcf(c_31622,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3360,c_2323]) ).

tcf(c_31623,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3528,c_2323]) ).

tcf(c_31624,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3580,c_2323]) ).

tcf(c_31625,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3638,c_2323]) ).

tcf(c_31626,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3701,c_2323]) ).

tcf(c_31627,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3727,c_2323]) ).

tcf(c_31628,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_3772,c_2323]) ).

tcf(c_31629,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4495,c_2323]) ).

tcf(c_31630,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4710,c_2323]) ).

tcf(c_31631,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_4753,c_2323]) ).

tcf(c_31632,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9036,c_2323]) ).

tcf(c_31633,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9139,c_2323]) ).

tcf(c_31634,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9223,c_2323]) ).

tcf(c_31635,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9418,c_2323]) ).

tcf(c_31636,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9568,c_2323]) ).

tcf(c_31637,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9652,c_2323]) ).

tcf(c_31638,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9818,c_2323]) ).

tcf(c_31639,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6147,c_2323]) ).

tcf(c_31640,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6380,c_2323]) ).

tcf(c_31641,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_6503,c_2323]) ).

tcf(c_31642,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9959,c_2323]) ).

tcf(c_31643,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10110,c_2323]) ).

tcf(c_31644,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8711,c_2323]) ).

tcf(c_31645,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10589,c_2323]) ).

tcf(c_31646,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10653,c_2323]) ).

tcf(c_31647,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10813,c_2323]) ).

tcf(c_31648,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11014,c_2323]) ).

tcf(c_31649,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_11892,c_2323]) ).

tcf(c_31650,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12029,c_2323]) ).

tcf(c_31651,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10591,c_2323]) ).

tcf(c_31652,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10655,c_2323]) ).

tcf(c_31653,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12405,c_2323]) ).

tcf(c_31654,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12483,c_2323]) ).

tcf(c_31655,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12997,c_2323]) ).

tcf(c_31656,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12157,c_2323]) ).

tcf(c_31657,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13548,c_2323]) ).

tcf(c_31658,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13721,c_2323]) ).

tcf(c_31659,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12155,c_2323]) ).

tcf(c_31660,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14194,c_2323]) ).

tcf(c_31661,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14357,c_2323]) ).

tcf(c_31662,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14444,c_2323]) ).

tcf(c_31663,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14546,c_2323]) ).

tcf(c_31664,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15137,c_2323]) ).

tcf(c_31665,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15292,c_2323]) ).

tcf(c_31666,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14196,c_2323]) ).

tcf(c_31667,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14359,c_2323]) ).

tcf(c_31668,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_14446,c_2323]) ).

tcf(c_31669,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13550,c_2323]) ).

tcf(c_31670,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13723,c_2323]) ).

tcf(c_31671,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_8713,c_2323]) ).

tcf(c_31672,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_13000,c_2323]) ).

tcf(c_31673,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15990,c_2323]) ).

tcf(c_31674,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_9961,c_2323]) ).

tcf(c_31675,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10112,c_2323]) ).

tcf(c_31676,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16171,c_2323]) ).

tcf(c_31677,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10819,c_2323]) ).

tcf(c_31678,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16480,c_2323]) ).

tcf(c_31679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16600,c_2323]) ).

tcf(c_31680,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16777,c_2323]) ).

tcf(c_31681,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_16992,c_2323]) ).

tcf(c_31682,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17085,c_2323]) ).

tcf(c_31683,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17267,c_2323]) ).

tcf(c_31684,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12408,c_2323]) ).

tcf(c_31685,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_12486,c_2323]) ).

tcf(c_31686,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15646,c_2323]) ).

tcf(c_31687,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17452,c_2323]) ).

tcf(c_31688,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17687,c_2323]) ).

tcf(c_31689,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17783,c_2323]) ).

tcf(c_31690,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_17879,c_2323]) ).

tcf(c_31691,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10593,c_2323]) ).

tcf(c_31692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_10657,c_2323]) ).

tcf(c_31693,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_15807,c_2323]) ).

tcf(c_31694,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18094,c_2323]) ).

tcf(c_31695,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18573,c_2323]) ).

tcf(c_31696,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18663,c_2323]) ).

tcf(c_31697,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18854,c_2323]) ).

tcf(c_31698,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_18992,c_2323]) ).

tcf(c_31699,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19230,c_2323]) ).

tcf(c_31700,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19368,c_2323]) ).

tcf(c_31701,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19540,c_2323]) ).

tcf(c_31702,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19670,c_2323]) ).

tcf(c_31703,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_19967,c_2323]) ).

tcf(c_31704,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20046,c_2323]) ).

tcf(c_31705,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20472,c_2323]) ).

tcf(c_31706,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_20682,c_2323]) ).

tcf(c_31707,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21252,c_2323]) ).

tcf(c_31708,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21392,c_2323]) ).

tcf(c_31709,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21593,c_2323]) ).

tcf(c_31710,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21680,c_2323]) ).

tcf(c_31711,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21965,c_2323]) ).

tcf(c_31712,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22072,c_2323]) ).

tcf(c_31713,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22150,c_2323]) ).

tcf(c_31714,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22236,c_2323]) ).

tcf(c_31715,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22660,c_2323]) ).

tcf(c_31716,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22750,c_2323]) ).

tcf(c_31717,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22858,c_2323]) ).

tcf(c_31718,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23011,c_2323]) ).

tcf(c_31719,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23448,c_2323]) ).

tcf(c_31720,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23580,c_2323]) ).

tcf(c_31721,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23907,c_2323]) ).

tcf(c_31722,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24001,c_2323]) ).

tcf(c_31723,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24102,c_2323]) ).

tcf(c_31724,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24190,c_2323]) ).

tcf(c_31725,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24398,c_2323]) ).

tcf(c_31726,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24481,c_2323]) ).

tcf(c_31727,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_24618,c_2323]) ).

tcf(c_31728,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_21969,c_2323]) ).

tcf(c_31729,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22241,c_2323]) ).

tcf(c_31730,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_22664,c_2323]) ).

tcf(c_31731,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_23016,c_2323]) ).

tcf(c_31732,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25337,c_2323]) ).

tcf(c_31733,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25976,c_2323]) ).

tcf(c_31734,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26088,c_2323]) ).

tcf(c_31735,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xE),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25482,c_2323]) ).

tcf(c_31736,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xE),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25491,c_2323]) ).

tcf(c_31737,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xH),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25768,c_2323]) ).

tcf(c_31738,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xP,xE),xP),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25771,c_2323]) ).

tcf(c_31739,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xP),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_25776,c_2323]) ).

tcf(c_31740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),xH),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_26244,c_2323]) ).

tcf(c_31741,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31512,c_2323]) ).

tcf(c_32208,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_1119,c_31596]) ).

tcf(c_32211,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_31596]) ).

tcf(c_32212,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_31596]) ).

tcf(c_32244,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9036,c_31596]) ).

tcf(c_32245,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9139,c_31596]) ).

tcf(c_32246,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_9223,c_31596]) ).

tcf(c_32247,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9418,c_31596]) ).

tcf(c_32248,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9568,c_31596]) ).

tcf(c_32249,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9652,c_31596]) ).

tcf(c_32250,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9818,c_31596]) ).

tcf(c_32254,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9959,c_31596]) ).

tcf(c_32255,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_10110,c_31596]) ).

tcf(c_32256,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_8711,c_31596]) ).

tcf(c_32257,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10589,c_31596]) ).

tcf(c_32258,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10653,c_31596]) ).

tcf(c_32259,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10813,c_31596]) ).

tcf(c_32260,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_11014,c_31596]) ).

tcf(c_32261,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_11892,c_31596]) ).

tcf(c_32262,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_12029,c_31596]) ).

tcf(c_32263,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_10591,c_31596]) ).

tcf(c_32264,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_10655,c_31596]) ).

tcf(c_32265,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12405,c_31596]) ).

tcf(c_32266,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12483,c_31596]) ).

tcf(c_32267,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12997,c_31596]) ).

tcf(c_32268,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_12157,c_31596]) ).

tcf(c_32269,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_13548,c_31596]) ).

tcf(c_32270,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_13721,c_31596]) ).

tcf(c_32271,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_12155,c_31596]) ).

tcf(c_32272,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14194,c_31596]) ).

tcf(c_32273,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14357,c_31596]) ).

tcf(c_32274,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14444,c_31596]) ).

tcf(c_32275,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14546,c_31596]) ).

tcf(c_32276,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_15137,c_31596]) ).

tcf(c_32277,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_15292,c_31596]) ).

tcf(c_32278,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14196,c_31596]) ).

tcf(c_32279,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14359,c_31596]) ).

tcf(c_32280,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14446,c_31596]) ).

tcf(c_32281,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_13550,c_31596]) ).

tcf(c_32282,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_13723,c_31596]) ).

tcf(c_32283,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_8713,c_31596]) ).

tcf(c_32284,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_13000,c_31596]) ).

tcf(c_32285,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_15990,c_31596]) ).

tcf(c_32286,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_9961,c_31596]) ).

tcf(c_32287,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_10112,c_31596]) ).

tcf(c_32288,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_16171,c_31596]) ).

tcf(c_32289,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10819,c_31596]) ).

tcf(c_32290,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16480,c_31596]) ).

tcf(c_32291,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16600,c_31596]) ).

tcf(c_32292,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16777,c_31596]) ).

tcf(c_32293,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_16992,c_31596]) ).

tcf(c_32294,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17085,c_31596]) ).

tcf(c_32295,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17267,c_31596]) ).

tcf(c_32296,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_12408,c_31596]) ).

tcf(c_32297,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_12486,c_31596]) ).

tcf(c_32298,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_15646,c_31596]) ).

tcf(c_32299,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17452,c_31596]) ).

tcf(c_32300,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17687,c_31596]) ).

tcf(c_32301,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17783,c_31596]) ).

tcf(c_32302,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17879,c_31596]) ).

tcf(c_32303,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10593,c_31596]) ).

tcf(c_32304,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10657,c_31596]) ).

tcf(c_32305,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_15807,c_31596]) ).

tcf(c_32306,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_18094,c_31596]) ).

tcf(c_32307,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18573,c_31596]) ).

tcf(c_32308,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18663,c_31596]) ).

tcf(c_32309,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18854,c_31596]) ).

tcf(c_32310,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_18992,c_31596]) ).

tcf(c_32311,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_19230,c_31596]) ).

tcf(c_32312,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_19368,c_31596]) ).

tcf(c_32313,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19540,c_31596]) ).

tcf(c_32314,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19670,c_31596]) ).

tcf(c_32315,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19967,c_31596]) ).

tcf(c_32316,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_20046,c_31596]) ).

tcf(c_32317,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_20472,c_31596]) ).

tcf(c_32318,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_20682,c_31596]) ).

tcf(c_32319,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_21252,c_31596]) ).

tcf(c_32320,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_21392,c_31596]) ).

tcf(c_32321,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_21593,c_31596]) ).

tcf(c_32322,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_21680,c_31596]) ).

tcf(c_32323,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_21965,c_31596]) ).

tcf(c_32324,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_22072,c_31596]) ).

tcf(c_32325,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22150,c_31596]) ).

tcf(c_32326,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_22236,c_31596]) ).

tcf(c_32327,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_22660,c_31596]) ).

tcf(c_32328,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22750,c_31596]) ).

tcf(c_32329,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22858,c_31596]) ).

tcf(c_32330,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_23011,c_31596]) ).

tcf(c_32331,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23448,c_31596]) ).

tcf(c_32332,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23580,c_31596]) ).

tcf(c_32333,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23907,c_31596]) ).

tcf(c_32334,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24001,c_31596]) ).

tcf(c_32335,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24102,c_31596]) ).

tcf(c_32336,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24190,c_31596]) ).

tcf(c_32337,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24398,c_31596]) ).

tcf(c_32338,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24481,c_31596]) ).

tcf(c_32339,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24618,c_31596]) ).

tcf(c_32340,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_21969,c_31596]) ).

tcf(c_32341,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_22241,c_31596]) ).

tcf(c_32342,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_22664,c_31596]) ).

tcf(c_32343,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_23016,c_31596]) ).

tcf(c_32344,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))))),
    inference(superposition,[status(thm)],[c_25337,c_31596]) ).

tcf(c_32345,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))))),
    inference(superposition,[status(thm)],[c_25976,c_31596]) ).

tcf(c_32346,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))))),
    inference(superposition,[status(thm)],[c_26088,c_31596]) ).

tcf(c_32347,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_25482,c_31596]) ).

tcf(c_32348,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_25491,c_31596]) ).

tcf(c_32349,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_25768,c_31596]) ).

tcf(c_32350,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_25771,c_31596]) ).

tcf(c_32351,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_25776,c_31596]) ).

tcf(c_32352,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_26244,c_31596]) ).

tcf(c_32353,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_31512,c_31596]) ).

tcf(c_32528,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_31517,c_31596]) ).

tcf(c_32529,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2323]) ).

tcf(c_32530,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_26758]) ).

tcf(c_32531,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_28604]) ).

tcf(c_32532,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_28603]) ).

tcf(c_32533,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_26757]) ).

tcf(c_32534,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_27461]) ).

tcf(c_32535,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_26756]) ).

tcf(c_32536,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2343]) ).

tcf(c_32537,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_2377]) ).

tcf(c_32538,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_8198]) ).

tcf(c_32539,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_8197]) ).

tcf(c_32540,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_8196]) ).

tcf(c_32541,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2487]) ).

tcf(c_32542,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_7528]) ).

tcf(c_32543,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_7527]) ).

tcf(c_32544,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_7526]) ).

tcf(c_32545,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2445]) ).

tcf(c_32546,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_6922]) ).

tcf(c_32547,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_6921]) ).

tcf(c_32548,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_6920]) ).

tcf(c_32549,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2350]) ).

tcf(c_32550,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_5744]) ).

tcf(c_32551,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_5743]) ).

tcf(c_32552,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_5742]) ).

tcf(c_32553,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2306]) ).

tcf(c_32554,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_4055]) ).

tcf(c_32555,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_3410]) ).

tcf(c_32556,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_3318]) ).

tcf(c_32557,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_2939]) ).

tcf(c_32558,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_2464]) ).

tcf(c_32559,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_2403]) ).

tcf(c_32560,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_31517,c_2375]) ).

tcf(c_32561,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_4054]) ).

tcf(c_32562,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_4053]) ).

tcf(c_32563,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2305]) ).

tcf(c_32564,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_2314]) ).

tcf(c_32565,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_2313]) ).

tcf(c_32570,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_2312]) ).

tcf(c_32571,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_2304]) ).

tcf(c_32572,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_31517,c_1165]) ).

tcf(c_32742,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xE)) ),
    inference(superposition,[status(thm)],[c_25522,c_1176]) ).

tcf(c_32759,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xE)) ),
    inference(superposition,[status(thm)],[c_25523,c_1176]) ).

tcf(c_32767,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xE)) ),
    inference(superposition,[status(thm)],[c_25629,c_1176]) ).

tcf(c_32771,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xE)) ),
    inference(superposition,[status(thm)],[c_25630,c_1176]) ).

tcf(c_32777,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xP)) ),
    inference(superposition,[status(thm)],[c_25806,c_1176]) ).

tcf(c_32783,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xP)) ),
    inference(superposition,[status(thm)],[c_25807,c_1176]) ).

tcf(c_32789,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xP)) ),
    inference(superposition,[status(thm)],[c_25808,c_1176]) ).

tcf(c_32795,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xH)) ),
    inference(superposition,[status(thm)],[c_26274,c_1176]) ).

tcf(c_32801,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xH)) ),
    inference(superposition,[status(thm)],[c_26275,c_1176]) ).

tcf(c_32807,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xP,xE),xH)) ),
    inference(superposition,[status(thm)],[c_26276,c_1176]) ).

tcf(c_32820,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_32208,c_1176]) ).

tcf(c_32821,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(global_subsumption_just,[status(thm)],[c_32820,c_117,c_3628,c_32820]) ).

tcf(c_32823,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_32821,c_31596]) ).

tcf(c_32824,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2323]) ).

tcf(c_32825,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_26758]) ).

tcf(c_32826,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_28604]) ).

tcf(c_32827,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_28603]) ).

tcf(c_32828,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_26757]) ).

tcf(c_32829,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_27461]) ).

tcf(c_32830,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_26756]) ).

tcf(c_32831,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2343]) ).

tcf(c_32832,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_2377]) ).

tcf(c_32833,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_8198]) ).

tcf(c_32834,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_8197]) ).

tcf(c_32835,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_8196]) ).

tcf(c_32836,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2487]) ).

tcf(c_32837,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_7528]) ).

tcf(c_32838,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_7527]) ).

tcf(c_32839,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_7526]) ).

tcf(c_32840,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2445]) ).

tcf(c_32841,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_6922]) ).

tcf(c_32842,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_6921]) ).

tcf(c_32843,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_6920]) ).

tcf(c_32844,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2350]) ).

tcf(c_32845,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_5744]) ).

tcf(c_32846,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_5743]) ).

tcf(c_32847,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_5742]) ).

tcf(c_32848,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2306]) ).

tcf(c_32849,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_4055]) ).

tcf(c_32850,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_3410]) ).

tcf(c_32851,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_3318]) ).

tcf(c_32852,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2939]) ).

tcf(c_32853,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2464]) ).

tcf(c_32854,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2403]) ).

tcf(c_32855,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2375]) ).

tcf(c_32856,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_4054]) ).

tcf(c_32857,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_4053]) ).

tcf(c_32858,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2305]) ).

tcf(c_32859,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_2314]) ).

tcf(c_32860,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_2313]) ).

tcf(c_32861,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2342]) ).

tcf(c_32862,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2341]) ).

tcf(c_32863,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_32821,c_2340]) ).

tcf(c_32864,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_1259]) ).

tcf(c_32865,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_2312]) ).

tcf(c_32866,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_2304]) ).

tcf(c_32867,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32821,c_1165]) ).

tcf(c_32945,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(global_subsumption_just,[status(thm)],[c_32742,c_123,c_25482,c_32742]) ).

tcf(c_32950,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_2349,c_32945]) ).

tcf(c_32951,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_32945,c_31596]) ).

tcf(c_32952,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2323]) ).

tcf(c_32953,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_26758]) ).

tcf(c_32954,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_28604]) ).

tcf(c_32955,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_28603]) ).

tcf(c_32956,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_26757]) ).

tcf(c_32957,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_27461]) ).

tcf(c_32958,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_26756]) ).

tcf(c_32959,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2343]) ).

tcf(c_32960,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_2377]) ).

tcf(c_32961,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_8198]) ).

tcf(c_32962,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_8197]) ).

tcf(c_32963,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_8196]) ).

tcf(c_32964,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2487]) ).

tcf(c_32965,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_7528]) ).

tcf(c_32966,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_7527]) ).

tcf(c_32967,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_7526]) ).

tcf(c_32968,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2445]) ).

tcf(c_32969,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_6922]) ).

tcf(c_32970,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_6921]) ).

tcf(c_32971,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_6920]) ).

tcf(c_32972,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2350]) ).

tcf(c_32973,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_5744]) ).

tcf(c_32974,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_5743]) ).

tcf(c_32975,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_5742]) ).

tcf(c_32976,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2306]) ).

tcf(c_32977,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_4055]) ).

tcf(c_32978,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_3410]) ).

tcf(c_32979,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_3318]) ).

tcf(c_32980,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_2939]) ).

tcf(c_32981,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_2464]) ).

tcf(c_32982,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_2403]) ).

tcf(c_32983,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_32945,c_2375]) ).

tcf(c_32984,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_4054]) ).

tcf(c_32985,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_4053]) ).

tcf(c_32986,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2305]) ).

tcf(c_32987,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_2314]) ).

tcf(c_32988,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_2313]) ).

tcf(c_32993,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_2312]) ).

tcf(c_32994,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_2304]) ).

tcf(c_32995,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32945,c_1165]) ).

tcf(c_33112,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(global_subsumption_just,[status(thm)],[c_32759,c_117,c_25482,c_32759]) ).

tcf(c_33117,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_2349,c_33112]) ).

tcf(c_33118,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_33112,c_31596]) ).

tcf(c_33119,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2323]) ).

tcf(c_33120,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_26758]) ).

tcf(c_33121,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_28604]) ).

tcf(c_33122,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_28603]) ).

tcf(c_33123,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_26757]) ).

tcf(c_33124,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_27461]) ).

tcf(c_33125,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_26756]) ).

tcf(c_33126,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2343]) ).

tcf(c_33127,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_2377]) ).

tcf(c_33128,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_8198]) ).

tcf(c_33129,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_8197]) ).

tcf(c_33130,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_8196]) ).

tcf(c_33131,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2487]) ).

tcf(c_33132,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_7528]) ).

tcf(c_33133,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_7527]) ).

tcf(c_33134,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_7526]) ).

tcf(c_33135,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2445]) ).

tcf(c_33136,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_6922]) ).

tcf(c_33137,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_6921]) ).

tcf(c_33138,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_6920]) ).

tcf(c_33139,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2350]) ).

tcf(c_33140,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_5744]) ).

tcf(c_33141,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_5743]) ).

tcf(c_33142,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_5742]) ).

tcf(c_33143,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2306]) ).

tcf(c_33144,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_4055]) ).

tcf(c_33145,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_3410]) ).

tcf(c_33146,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_3318]) ).

tcf(c_33147,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_2939]) ).

tcf(c_33148,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_2464]) ).

tcf(c_33149,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_2403]) ).

tcf(c_33150,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_33112,c_2375]) ).

tcf(c_33151,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_4054]) ).

tcf(c_33152,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_4053]) ).

tcf(c_33153,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2305]) ).

tcf(c_33154,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_2314]) ).

tcf(c_33155,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_2313]) ).

tcf(c_33161,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_2304]) ).

tcf(c_33162,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33112,c_1165]) ).

tcf(c_33395,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_32950,c_31596]) ).

tcf(c_33396,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2323]) ).

tcf(c_33397,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_26758]) ).

tcf(c_33398,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_28604]) ).

tcf(c_33399,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_28603]) ).

tcf(c_33400,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_26757]) ).

tcf(c_33401,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_27461]) ).

tcf(c_33402,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_26756]) ).

tcf(c_33403,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2343]) ).

tcf(c_33404,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_2377]) ).

tcf(c_33405,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_8198]) ).

tcf(c_33406,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_8197]) ).

tcf(c_33407,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_8196]) ).

tcf(c_33408,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2487]) ).

tcf(c_33409,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_7528]) ).

tcf(c_33410,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_7527]) ).

tcf(c_33411,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_7526]) ).

tcf(c_33412,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2445]) ).

tcf(c_33413,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_6922]) ).

tcf(c_33414,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_6921]) ).

tcf(c_33415,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_6920]) ).

tcf(c_33416,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2350]) ).

tcf(c_33417,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_5744]) ).

tcf(c_33418,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_5743]) ).

tcf(c_33419,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_5742]) ).

tcf(c_33420,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2306]) ).

tcf(c_33421,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_4055]) ).

tcf(c_33422,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_3410]) ).

tcf(c_33423,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_3318]) ).

tcf(c_33424,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_2939]) ).

tcf(c_33425,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_2464]) ).

tcf(c_33426,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_2403]) ).

tcf(c_33427,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_32950,c_2375]) ).

tcf(c_33428,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_4054]) ).

tcf(c_33429,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_4053]) ).

tcf(c_33430,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2305]) ).

tcf(c_33431,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_2314]) ).

tcf(c_33432,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_2313]) ).

tcf(c_33437,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_2312]) ).

tcf(c_33438,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_2304]) ).

tcf(c_33439,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_32950,c_1165]) ).

tcf(c_33582,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_33117,c_31596]) ).

tcf(c_33583,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2323]) ).

tcf(c_33584,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_26758]) ).

tcf(c_33585,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_28604]) ).

tcf(c_33586,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_28603]) ).

tcf(c_33587,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_26757]) ).

tcf(c_33588,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_27461]) ).

tcf(c_33589,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_26756]) ).

tcf(c_33590,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2343]) ).

tcf(c_33591,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_2377]) ).

tcf(c_33592,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_8198]) ).

tcf(c_33593,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_8197]) ).

tcf(c_33594,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_8196]) ).

tcf(c_33595,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2487]) ).

tcf(c_33596,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_7528]) ).

tcf(c_33597,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_7527]) ).

tcf(c_33598,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_7526]) ).

tcf(c_33599,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2445]) ).

tcf(c_33600,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_6922]) ).

tcf(c_33601,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_6921]) ).

tcf(c_33602,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_6920]) ).

tcf(c_33603,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2350]) ).

tcf(c_33604,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_5744]) ).

tcf(c_33605,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_5743]) ).

tcf(c_33606,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_5742]) ).

tcf(c_33607,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2306]) ).

tcf(c_33608,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_4055]) ).

tcf(c_33609,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_3410]) ).

tcf(c_33610,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_3318]) ).

tcf(c_33611,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_2939]) ).

tcf(c_33612,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_2464]) ).

tcf(c_33613,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_2403]) ).

tcf(c_33614,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_33117,c_2375]) ).

tcf(c_33615,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_4054]) ).

tcf(c_33616,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_4053]) ).

tcf(c_33617,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2305]) ).

tcf(c_33618,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_2314]) ).

tcf(c_33619,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_2313]) ).

tcf(c_33625,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_2304]) ).

tcf(c_33626,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33117,c_1165]) ).

tcf(c_33733,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xP)) ),
    inference(superposition,[status(thm)],[c_26454,c_1176]) ).

tcf(c_33743,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xP)) ),
    inference(superposition,[status(thm)],[c_26455,c_1176]) ).

tcf(c_33747,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xP)) ),
    inference(superposition,[status(thm)],[c_26456,c_1176]) ).

tcf(c_33752,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xH)) ),
    inference(superposition,[status(thm)],[c_26501,c_1176]) ).

tcf(c_33763,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xH)) ),
    inference(superposition,[status(thm)],[c_26502,c_1176]) ).

tcf(c_33768,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xP),xH)) ),
    inference(superposition,[status(thm)],[c_26503,c_1176]) ).

tcf(c_33770,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))
    | ~ aScalar0(sdtasdt0(xE,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_28108,c_1176]) ).

tcf(c_33771,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))
    | ~ aScalar0(sdtasdt0(xE,xP))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_28109,c_1176]) ).

tcf(c_33778,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_28110,c_1176]) ).

tcf(c_33779,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_28118,c_1176]) ).

tcf(c_33784,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(global_subsumption_just,[status(thm)],[c_32777,c_127,c_117,c_7801,c_25723,c_32777]) ).

tcf(c_33790,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_2349,c_33784]) ).

tcf(c_33791,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_33784,c_31596]) ).

tcf(c_33792,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2323]) ).

tcf(c_33793,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_26758]) ).

tcf(c_33794,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_28604]) ).

tcf(c_33795,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_28603]) ).

tcf(c_33796,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_26757]) ).

tcf(c_33797,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_27461]) ).

tcf(c_33798,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_26756]) ).

tcf(c_33799,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2343]) ).

tcf(c_33800,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_2377]) ).

tcf(c_33801,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_8198]) ).

tcf(c_33802,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_8197]) ).

tcf(c_33803,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_8196]) ).

tcf(c_33804,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2487]) ).

tcf(c_33805,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_7528]) ).

tcf(c_33806,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_7527]) ).

tcf(c_33807,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_7526]) ).

tcf(c_33808,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2445]) ).

tcf(c_33809,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_6922]) ).

tcf(c_33810,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_6921]) ).

tcf(c_33811,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_6920]) ).

tcf(c_33812,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2350]) ).

tcf(c_33813,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_5744]) ).

tcf(c_33814,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_5743]) ).

tcf(c_33815,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_5742]) ).

tcf(c_33816,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2306]) ).

tcf(c_33817,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_4055]) ).

tcf(c_33818,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_3410]) ).

tcf(c_33819,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_3318]) ).

tcf(c_33820,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_2939]) ).

tcf(c_33821,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_2464]) ).

tcf(c_33822,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_2403]) ).

tcf(c_33823,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_33784,c_2375]) ).

tcf(c_33824,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_4054]) ).

tcf(c_33825,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_4053]) ).

tcf(c_33826,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2305]) ).

tcf(c_33827,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_2314]) ).

tcf(c_33828,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_2313]) ).

tcf(c_33833,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_2312]) ).

tcf(c_33834,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_2304]) ).

tcf(c_33835,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33784,c_1165]) ).

tcf(c_34090,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(global_subsumption_just,[status(thm)],[c_32783,c_127,c_123,c_117,c_7801,c_25723,c_32783]) ).

tcf(c_34096,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_2349,c_34090]) ).

tcf(c_34097,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_34090,c_31596]) ).

tcf(c_34098,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2323]) ).

tcf(c_34099,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_26758]) ).

tcf(c_34100,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_28604]) ).

tcf(c_34101,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_28603]) ).

tcf(c_34102,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_26757]) ).

tcf(c_34103,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_27461]) ).

tcf(c_34104,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_26756]) ).

tcf(c_34105,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2343]) ).

tcf(c_34106,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_2377]) ).

tcf(c_34107,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_8198]) ).

tcf(c_34108,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_8197]) ).

tcf(c_34109,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_8196]) ).

tcf(c_34110,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2487]) ).

tcf(c_34111,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_7528]) ).

tcf(c_34112,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_7527]) ).

tcf(c_34113,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_7526]) ).

tcf(c_34114,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2445]) ).

tcf(c_34115,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_6922]) ).

tcf(c_34116,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_6921]) ).

tcf(c_34117,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_6920]) ).

tcf(c_34118,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2350]) ).

tcf(c_34119,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_5744]) ).

tcf(c_34120,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_5743]) ).

tcf(c_34121,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_5742]) ).

tcf(c_34122,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2306]) ).

tcf(c_34123,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_4055]) ).

tcf(c_34124,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_3410]) ).

tcf(c_34125,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_3318]) ).

tcf(c_34126,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_2939]) ).

tcf(c_34127,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_2464]) ).

tcf(c_34128,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_2403]) ).

tcf(c_34129,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34090,c_2375]) ).

tcf(c_34130,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_4054]) ).

tcf(c_34131,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_4053]) ).

tcf(c_34132,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2305]) ).

tcf(c_34133,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_2314]) ).

tcf(c_34134,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_2313]) ).

tcf(c_34139,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_2312]) ).

tcf(c_34140,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_2304]) ).

tcf(c_34141,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34090,c_1165]) ).

tcf(c_34290,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_33790,c_31596]) ).

tcf(c_34291,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2323]) ).

tcf(c_34292,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_26758]) ).

tcf(c_34293,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_28604]) ).

tcf(c_34294,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_28603]) ).

tcf(c_34295,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_26757]) ).

tcf(c_34296,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_27461]) ).

tcf(c_34297,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_26756]) ).

tcf(c_34298,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2343]) ).

tcf(c_34299,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_2377]) ).

tcf(c_34300,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_8198]) ).

tcf(c_34301,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_8197]) ).

tcf(c_34302,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_8196]) ).

tcf(c_34303,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2487]) ).

tcf(c_34304,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_7528]) ).

tcf(c_34305,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_7527]) ).

tcf(c_34306,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_7526]) ).

tcf(c_34307,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2445]) ).

tcf(c_34308,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_6922]) ).

tcf(c_34309,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_6921]) ).

tcf(c_34310,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_6920]) ).

tcf(c_34311,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2350]) ).

tcf(c_34312,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_5744]) ).

tcf(c_34313,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_5743]) ).

tcf(c_34314,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_5742]) ).

tcf(c_34315,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2306]) ).

tcf(c_34316,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_4055]) ).

tcf(c_34317,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_3410]) ).

tcf(c_34318,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_3318]) ).

tcf(c_34319,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_2939]) ).

tcf(c_34320,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_2464]) ).

tcf(c_34321,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_2403]) ).

tcf(c_34322,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_33790,c_2375]) ).

tcf(c_34323,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_4054]) ).

tcf(c_34324,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_4053]) ).

tcf(c_34325,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2305]) ).

tcf(c_34326,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_2314]) ).

tcf(c_34327,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_2313]) ).

tcf(c_34332,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_2312]) ).

tcf(c_34333,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_2304]) ).

tcf(c_34334,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_33790,c_1165]) ).

tcf(c_34483,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_34096,c_31596]) ).

tcf(c_34484,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2323]) ).

tcf(c_34485,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_26758]) ).

tcf(c_34486,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_28604]) ).

tcf(c_34487,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_28603]) ).

tcf(c_34488,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_26757]) ).

tcf(c_34489,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_27461]) ).

tcf(c_34490,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_26756]) ).

tcf(c_34491,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2343]) ).

tcf(c_34492,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_2377]) ).

tcf(c_34493,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_8198]) ).

tcf(c_34494,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_8197]) ).

tcf(c_34495,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_8196]) ).

tcf(c_34496,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2487]) ).

tcf(c_34497,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_7528]) ).

tcf(c_34498,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_7527]) ).

tcf(c_34499,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_7526]) ).

tcf(c_34500,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2445]) ).

tcf(c_34501,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_6922]) ).

tcf(c_34502,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_6921]) ).

tcf(c_34503,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_6920]) ).

tcf(c_34504,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2350]) ).

tcf(c_34505,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_5744]) ).

tcf(c_34506,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_5743]) ).

tcf(c_34507,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_5742]) ).

tcf(c_34508,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2306]) ).

tcf(c_34509,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_4055]) ).

tcf(c_34510,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_3410]) ).

tcf(c_34511,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_3318]) ).

tcf(c_34512,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_2939]) ).

tcf(c_34513,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_2464]) ).

tcf(c_34514,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_2403]) ).

tcf(c_34515,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34096,c_2375]) ).

tcf(c_34516,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_4054]) ).

tcf(c_34517,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_4053]) ).

tcf(c_34518,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2305]) ).

tcf(c_34519,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_2314]) ).

tcf(c_34520,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_2313]) ).

tcf(c_34525,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_2312]) ).

tcf(c_34526,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_2304]) ).

tcf(c_34527,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34096,c_1165]) ).

tcf(c_34703,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_28123,c_1176]) ).

tcf(c_34705,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_28125,c_1176]) ).

tcf(c_34708,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))
    | ~ aScalar0(sdtasdt0(xH,xE))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_29698,c_1176]) ).

tcf(c_34709,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_29698,c_4318]) ).

tcf(c_34712,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))
    | ~ aScalar0(sdtasdt0(xH,xE))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_29699,c_1176]) ).

tcf(c_34713,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_29699,c_4319]) ).

tcf(c_34715,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_29700,c_1176]) ).

tcf(c_34717,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_29708,c_1176]) ).

tcf(c_34720,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_29713,c_1176]) ).

tcf(c_34723,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xH,xE)) ),
    inference(superposition,[status(thm)],[c_29715,c_1176]) ).

tcf(c_34726,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xH)) ),
    inference(superposition,[status(thm)],[c_30502,c_1176]) ).

tcf(c_34727,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_30502,c_4571]) ).

tcf(c_34729,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xP)) ),
    inference(superposition,[status(thm)],[c_30503,c_1176]) ).

tcf(c_34730,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_30503,c_4572]) ).

tcf(c_34731,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(global_subsumption_just,[status(thm)],[c_32789,c_127,c_117,c_7801,c_25723,c_32789]) ).

tcf(c_34737,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_2349,c_34731]) ).

tcf(c_34738,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_34731,c_31596]) ).

tcf(c_34739,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2323]) ).

tcf(c_34740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_26758]) ).

tcf(c_34741,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_28604]) ).

tcf(c_34742,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_28603]) ).

tcf(c_34743,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_26757]) ).

tcf(c_34744,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_27461]) ).

tcf(c_34745,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_26756]) ).

tcf(c_34746,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2343]) ).

tcf(c_34747,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_2377]) ).

tcf(c_34748,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_8198]) ).

tcf(c_34749,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_8197]) ).

tcf(c_34750,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_8196]) ).

tcf(c_34751,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2487]) ).

tcf(c_34752,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_7528]) ).

tcf(c_34753,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_7527]) ).

tcf(c_34754,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_7526]) ).

tcf(c_34755,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2445]) ).

tcf(c_34756,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_6922]) ).

tcf(c_34757,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_6921]) ).

tcf(c_34758,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_6920]) ).

tcf(c_34759,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2350]) ).

tcf(c_34760,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_5744]) ).

tcf(c_34761,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_5743]) ).

tcf(c_34762,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_5742]) ).

tcf(c_34763,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2306]) ).

tcf(c_34764,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_4055]) ).

tcf(c_34765,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_3410]) ).

tcf(c_34766,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_3318]) ).

tcf(c_34767,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_2939]) ).

tcf(c_34768,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_2464]) ).

tcf(c_34769,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_2403]) ).

tcf(c_34770,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_34731,c_2375]) ).

tcf(c_34771,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_4054]) ).

tcf(c_34772,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_4053]) ).

tcf(c_34773,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2305]) ).

tcf(c_34774,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_2314]) ).

tcf(c_34775,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_2313]) ).

tcf(c_34781,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_2304]) ).

tcf(c_34782,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34731,c_1165]) ).

tcf(c_34910,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(global_subsumption_just,[status(thm)],[c_32795,c_127,c_117,c_9371,c_25706,c_32795]) ).

tcf(c_34916,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_2349,c_34910]) ).

tcf(c_34917,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_34910,c_31596]) ).

tcf(c_34918,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2323]) ).

tcf(c_34919,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_26758]) ).

tcf(c_34920,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_28604]) ).

tcf(c_34921,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_28603]) ).

tcf(c_34922,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_26757]) ).

tcf(c_34923,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_27461]) ).

tcf(c_34924,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_26756]) ).

tcf(c_34925,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2343]) ).

tcf(c_34926,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_2377]) ).

tcf(c_34927,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_8198]) ).

tcf(c_34928,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_8197]) ).

tcf(c_34929,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_8196]) ).

tcf(c_34930,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2487]) ).

tcf(c_34931,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_7528]) ).

tcf(c_34932,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_7527]) ).

tcf(c_34933,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_7526]) ).

tcf(c_34934,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2445]) ).

tcf(c_34935,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_6922]) ).

tcf(c_34936,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_6921]) ).

tcf(c_34937,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_6920]) ).

tcf(c_34938,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2350]) ).

tcf(c_34939,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_5744]) ).

tcf(c_34940,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_5743]) ).

tcf(c_34941,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_5742]) ).

tcf(c_34942,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2306]) ).

tcf(c_34943,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_4055]) ).

tcf(c_34944,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_3410]) ).

tcf(c_34945,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_3318]) ).

tcf(c_34946,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_2939]) ).

tcf(c_34947,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_2464]) ).

tcf(c_34948,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_2403]) ).

tcf(c_34949,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_34910,c_2375]) ).

tcf(c_34950,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_4054]) ).

tcf(c_34951,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_4053]) ).

tcf(c_34952,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2305]) ).

tcf(c_34953,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_2314]) ).

tcf(c_34954,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_2313]) ).

tcf(c_34959,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_2312]) ).

tcf(c_34960,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_2304]) ).

tcf(c_34961,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34910,c_1165]) ).

tcf(c_35134,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(global_subsumption_just,[status(thm)],[c_32801,c_127,c_123,c_117,c_9371,c_25706,c_32801]) ).

tcf(c_35140,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_2349,c_35134]) ).

tcf(c_35141,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_35134,c_31596]) ).

tcf(c_35142,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2323]) ).

tcf(c_35143,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_26758]) ).

tcf(c_35144,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_28604]) ).

tcf(c_35145,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_28603]) ).

tcf(c_35146,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_26757]) ).

tcf(c_35147,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_27461]) ).

tcf(c_35148,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_26756]) ).

tcf(c_35149,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2343]) ).

tcf(c_35150,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_2377]) ).

tcf(c_35151,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_8198]) ).

tcf(c_35152,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_8197]) ).

tcf(c_35153,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_8196]) ).

tcf(c_35154,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2487]) ).

tcf(c_35155,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_7528]) ).

tcf(c_35156,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_7527]) ).

tcf(c_35157,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_7526]) ).

tcf(c_35158,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2445]) ).

tcf(c_35159,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_6922]) ).

tcf(c_35160,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_6921]) ).

tcf(c_35161,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_6920]) ).

tcf(c_35162,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2350]) ).

tcf(c_35163,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_5744]) ).

tcf(c_35164,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_5743]) ).

tcf(c_35165,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_5742]) ).

tcf(c_35166,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2306]) ).

tcf(c_35167,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_4055]) ).

tcf(c_35168,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_3410]) ).

tcf(c_35169,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_3318]) ).

tcf(c_35170,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_2939]) ).

tcf(c_35171,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_2464]) ).

tcf(c_35172,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_2403]) ).

tcf(c_35173,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35134,c_2375]) ).

tcf(c_35174,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_4054]) ).

tcf(c_35175,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_4053]) ).

tcf(c_35176,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2305]) ).

tcf(c_35177,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_2314]) ).

tcf(c_35178,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_2313]) ).

tcf(c_35183,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_2312]) ).

tcf(c_35184,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_2304]) ).

tcf(c_35185,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35134,c_1165]) ).

tcf(c_35274,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(global_subsumption_just,[status(thm)],[c_32807,c_127,c_117,c_9371,c_25706,c_32807]) ).

tcf(c_35280,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_2349,c_35274]) ).

tcf(c_35281,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_35274,c_31596]) ).

tcf(c_35282,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2323]) ).

tcf(c_35283,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_26758]) ).

tcf(c_35284,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_28604]) ).

tcf(c_35285,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_28603]) ).

tcf(c_35286,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_26757]) ).

tcf(c_35287,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_27461]) ).

tcf(c_35288,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_26756]) ).

tcf(c_35289,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2343]) ).

tcf(c_35290,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_2377]) ).

tcf(c_35291,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_8198]) ).

tcf(c_35292,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_8197]) ).

tcf(c_35293,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_8196]) ).

tcf(c_35294,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2487]) ).

tcf(c_35295,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_7528]) ).

tcf(c_35296,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_7527]) ).

tcf(c_35297,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_7526]) ).

tcf(c_35298,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2445]) ).

tcf(c_35299,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_6922]) ).

tcf(c_35300,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_6921]) ).

tcf(c_35301,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_6920]) ).

tcf(c_35302,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2350]) ).

tcf(c_35303,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_5744]) ).

tcf(c_35304,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_5743]) ).

tcf(c_35305,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_5742]) ).

tcf(c_35306,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2306]) ).

tcf(c_35307,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_4055]) ).

tcf(c_35308,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_3410]) ).

tcf(c_35309,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_3318]) ).

tcf(c_35310,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_2939]) ).

tcf(c_35311,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_2464]) ).

tcf(c_35312,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_2403]) ).

tcf(c_35313,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_35274,c_2375]) ).

tcf(c_35314,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_4054]) ).

tcf(c_35315,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_4053]) ).

tcf(c_35316,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2305]) ).

tcf(c_35317,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_2314]) ).

tcf(c_35318,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_2313]) ).

tcf(c_35324,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_2304]) ).

tcf(c_35325,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35274,c_1165]) ).

tcf(c_35392,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_34737,c_31596]) ).

tcf(c_35393,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2323]) ).

tcf(c_35394,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_26758]) ).

tcf(c_35395,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_28604]) ).

tcf(c_35396,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_28603]) ).

tcf(c_35397,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_26757]) ).

tcf(c_35398,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_27461]) ).

tcf(c_35399,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_26756]) ).

tcf(c_35400,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2343]) ).

tcf(c_35401,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_2377]) ).

tcf(c_35402,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_8198]) ).

tcf(c_35403,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_8197]) ).

tcf(c_35404,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_8196]) ).

tcf(c_35405,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2487]) ).

tcf(c_35406,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_7528]) ).

tcf(c_35407,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_7527]) ).

tcf(c_35408,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_7526]) ).

tcf(c_35409,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2445]) ).

tcf(c_35410,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_6922]) ).

tcf(c_35411,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_6921]) ).

tcf(c_35412,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_6920]) ).

tcf(c_35413,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2350]) ).

tcf(c_35414,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_5744]) ).

tcf(c_35415,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_5743]) ).

tcf(c_35416,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_5742]) ).

tcf(c_35417,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2306]) ).

tcf(c_35418,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_4055]) ).

tcf(c_35419,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_3410]) ).

tcf(c_35420,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_3318]) ).

tcf(c_35421,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_2939]) ).

tcf(c_35422,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_2464]) ).

tcf(c_35423,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_2403]) ).

tcf(c_35424,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_34737,c_2375]) ).

tcf(c_35425,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_4054]) ).

tcf(c_35426,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_4053]) ).

tcf(c_35427,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2305]) ).

tcf(c_35428,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_2314]) ).

tcf(c_35429,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_2313]) ).

tcf(c_35435,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_2304]) ).

tcf(c_35436,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34737,c_1165]) ).

tcf(c_35563,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_34916,c_31596]) ).

tcf(c_35564,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2323]) ).

tcf(c_35565,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_26758]) ).

tcf(c_35566,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_28604]) ).

tcf(c_35567,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_28603]) ).

tcf(c_35568,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_26757]) ).

tcf(c_35569,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_27461]) ).

tcf(c_35570,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_26756]) ).

tcf(c_35571,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2343]) ).

tcf(c_35572,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_2377]) ).

tcf(c_35573,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_8198]) ).

tcf(c_35574,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_8197]) ).

tcf(c_35575,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_8196]) ).

tcf(c_35576,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2487]) ).

tcf(c_35577,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_7528]) ).

tcf(c_35578,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_7527]) ).

tcf(c_35579,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_7526]) ).

tcf(c_35580,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2445]) ).

tcf(c_35581,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_6922]) ).

tcf(c_35582,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_6921]) ).

tcf(c_35583,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_6920]) ).

tcf(c_35584,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2350]) ).

tcf(c_35585,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_5744]) ).

tcf(c_35586,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_5743]) ).

tcf(c_35587,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_5742]) ).

tcf(c_35588,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2306]) ).

tcf(c_35589,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_4055]) ).

tcf(c_35590,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_3410]) ).

tcf(c_35591,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_3318]) ).

tcf(c_35592,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_2939]) ).

tcf(c_35593,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_2464]) ).

tcf(c_35594,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_2403]) ).

tcf(c_35595,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_34916,c_2375]) ).

tcf(c_35596,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_4054]) ).

tcf(c_35597,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_4053]) ).

tcf(c_35598,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2305]) ).

tcf(c_35599,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_2314]) ).

tcf(c_35600,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_2313]) ).

tcf(c_35605,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_2312]) ).

tcf(c_35606,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_2304]) ).

tcf(c_35607,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_34916,c_1165]) ).

tcf(c_35828,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_35140,c_31596]) ).

tcf(c_35829,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2323]) ).

tcf(c_35830,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_26758]) ).

tcf(c_35831,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_28604]) ).

tcf(c_35832,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_28603]) ).

tcf(c_35833,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_26757]) ).

tcf(c_35834,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_27461]) ).

tcf(c_35835,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_26756]) ).

tcf(c_35836,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2343]) ).

tcf(c_35837,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_2377]) ).

tcf(c_35838,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_8198]) ).

tcf(c_35839,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_8197]) ).

tcf(c_35840,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_8196]) ).

tcf(c_35841,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2487]) ).

tcf(c_35842,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_7528]) ).

tcf(c_35843,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_7527]) ).

tcf(c_35844,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_7526]) ).

tcf(c_35845,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2445]) ).

tcf(c_35846,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_6922]) ).

tcf(c_35847,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_6921]) ).

tcf(c_35848,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_6920]) ).

tcf(c_35849,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2350]) ).

tcf(c_35850,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_5744]) ).

tcf(c_35851,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_5743]) ).

tcf(c_35852,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_5742]) ).

tcf(c_35853,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2306]) ).

tcf(c_35854,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_4055]) ).

tcf(c_35855,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_3410]) ).

tcf(c_35856,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_3318]) ).

tcf(c_35857,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_2939]) ).

tcf(c_35858,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_2464]) ).

tcf(c_35859,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_2403]) ).

tcf(c_35860,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35140,c_2375]) ).

tcf(c_35861,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_4054]) ).

tcf(c_35862,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_4053]) ).

tcf(c_35863,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2305]) ).

tcf(c_35864,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_2314]) ).

tcf(c_35865,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_2313]) ).

tcf(c_35870,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_2312]) ).

tcf(c_35871,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_2304]) ).

tcf(c_35872,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35140,c_1165]) ).

tcf(c_35941,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_35280,c_31596]) ).

tcf(c_35942,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2323]) ).

tcf(c_35943,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_26758]) ).

tcf(c_35944,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_28604]) ).

tcf(c_35945,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_28603]) ).

tcf(c_35946,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_26757]) ).

tcf(c_35947,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_27461]) ).

tcf(c_35948,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_26756]) ).

tcf(c_35949,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2343]) ).

tcf(c_35950,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_2377]) ).

tcf(c_35951,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_8198]) ).

tcf(c_35952,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_8197]) ).

tcf(c_35953,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_8196]) ).

tcf(c_35954,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2487]) ).

tcf(c_35955,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_7528]) ).

tcf(c_35956,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_7527]) ).

tcf(c_35957,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_7526]) ).

tcf(c_35958,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2445]) ).

tcf(c_35959,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_6922]) ).

tcf(c_35960,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_6921]) ).

tcf(c_35961,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_6920]) ).

tcf(c_35962,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2350]) ).

tcf(c_35963,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_5744]) ).

tcf(c_35964,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_5743]) ).

tcf(c_35965,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_5742]) ).

tcf(c_35966,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2306]) ).

tcf(c_35967,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_4055]) ).

tcf(c_35968,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_3410]) ).

tcf(c_35969,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_3318]) ).

tcf(c_35970,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_2939]) ).

tcf(c_35971,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_2464]) ).

tcf(c_35972,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_2403]) ).

tcf(c_35973,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_35280,c_2375]) ).

tcf(c_35974,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_4054]) ).

tcf(c_35975,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_4053]) ).

tcf(c_35976,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2305]) ).

tcf(c_35977,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_2314]) ).

tcf(c_35978,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_2313]) ).

tcf(c_35984,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_2304]) ).

tcf(c_35985,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_35280,c_1165]) ).

tcf(c_36039,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))
    | ~ aScalar0(sdtasdt0(xH,xP))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_30504,c_1176]) ).

tcf(c_36040,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_30512,c_1176]) ).

tcf(c_36042,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))
    | ~ aScalar0(sdtasdt0(xP,xE))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_30517,c_1176]) ).

tcf(c_36046,plain,
    ( aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))
    | ~ aScalar0(sdtasdt0(xP,xH))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(superposition,[status(thm)],[c_30519,c_1176]) ).

tcf(c_36097,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_4451,c_30922]) ).

tcf(c_36113,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_3163,c_30932]) ).

tcf(c_36146,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_30950,c_16395]) ).

tcf(c_36196,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_3164,c_30953]) ).

tcf(c_36207,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2348,c_34713]) ).

tcf(c_36224,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,xP)),
    inference(superposition,[status(thm)],[c_1108,c_36113]) ).

tcf(c_36240,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(global_subsumption_just,[status(thm)],[c_33770,c_123,c_117,c_2361,c_3628,c_33770]) ).

tcf(c_36243,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_1108,c_36240]) ).

tcf(c_36244,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_36240,c_31596]) ).

tcf(c_36245,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2323]) ).

tcf(c_36246,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_26758]) ).

tcf(c_36247,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_28604]) ).

tcf(c_36248,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_28603]) ).

tcf(c_36249,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_26757]) ).

tcf(c_36250,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_27461]) ).

tcf(c_36251,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_26756]) ).

tcf(c_36252,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2343]) ).

tcf(c_36253,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_2377]) ).

tcf(c_36254,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_8198]) ).

tcf(c_36255,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_8197]) ).

tcf(c_36256,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_8196]) ).

tcf(c_36257,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2487]) ).

tcf(c_36258,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_7528]) ).

tcf(c_36259,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_7527]) ).

tcf(c_36260,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_7526]) ).

tcf(c_36261,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2445]) ).

tcf(c_36262,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_6922]) ).

tcf(c_36263,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_6921]) ).

tcf(c_36264,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_6920]) ).

tcf(c_36265,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2350]) ).

tcf(c_36266,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_5744]) ).

tcf(c_36267,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_5743]) ).

tcf(c_36268,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_5742]) ).

tcf(c_36269,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2306]) ).

tcf(c_36270,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_4055]) ).

tcf(c_36271,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_3410]) ).

tcf(c_36272,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_3318]) ).

tcf(c_36273,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2939]) ).

tcf(c_36274,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2464]) ).

tcf(c_36275,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2403]) ).

tcf(c_36276,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2375]) ).

tcf(c_36277,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_4054]) ).

tcf(c_36278,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_4053]) ).

tcf(c_36279,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2305]) ).

tcf(c_36280,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_2314]) ).

tcf(c_36281,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_2313]) ).

tcf(c_36282,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2342]) ).

tcf(c_36283,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2341]) ).

tcf(c_36284,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_36240,c_2340]) ).

tcf(c_36285,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_1259]) ).

tcf(c_36286,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_2312]) ).

tcf(c_36287,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_2304]) ).

tcf(c_36288,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36240,c_1165]) ).

tcf(c_36357,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_36243,c_31596]) ).

tcf(c_36358,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2323]) ).

tcf(c_36359,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_26758]) ).

tcf(c_36360,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_28604]) ).

tcf(c_36361,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_28603]) ).

tcf(c_36362,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_26757]) ).

tcf(c_36363,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_27461]) ).

tcf(c_36364,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_26756]) ).

tcf(c_36365,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2343]) ).

tcf(c_36366,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_2377]) ).

tcf(c_36367,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_8198]) ).

tcf(c_36368,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_8197]) ).

tcf(c_36369,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_8196]) ).

tcf(c_36370,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2487]) ).

tcf(c_36371,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_7528]) ).

tcf(c_36372,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_7527]) ).

tcf(c_36373,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_7526]) ).

tcf(c_36374,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2445]) ).

tcf(c_36375,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_6922]) ).

tcf(c_36376,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_6921]) ).

tcf(c_36377,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_6920]) ).

tcf(c_36378,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2350]) ).

tcf(c_36379,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_5744]) ).

tcf(c_36380,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_5743]) ).

tcf(c_36381,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_5742]) ).

tcf(c_36382,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2306]) ).

tcf(c_36383,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_4055]) ).

tcf(c_36384,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_3410]) ).

tcf(c_36385,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_3318]) ).

tcf(c_36386,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2939]) ).

tcf(c_36387,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2464]) ).

tcf(c_36388,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2403]) ).

tcf(c_36389,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2375]) ).

tcf(c_36390,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_4054]) ).

tcf(c_36391,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_4053]) ).

tcf(c_36392,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2305]) ).

tcf(c_36393,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_2314]) ).

tcf(c_36394,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_2313]) ).

tcf(c_36395,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2342]) ).

tcf(c_36396,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2341]) ).

tcf(c_36397,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),
    inference(superposition,[status(thm)],[c_36243,c_2340]) ).

tcf(c_36398,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),xP)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_1259]) ).

tcf(c_36399,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_2312]) ).

tcf(c_36400,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_2304]) ).

tcf(c_36401,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36243,c_1165]) ).

tcf(c_36520,plain,
    sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_1108,c_36207]) ).

tcf(c_36532,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_36520,c_30950]) ).

tcf(c_36533,plain,
    sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_36520,c_17680]) ).

tcf(c_36534,plain,
    sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_36520,c_16942]) ).

tcf(c_36599,plain,
    ( aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))
    | ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xE),xP)) ),
    inference(superposition,[status(thm)],[c_36395,c_1176]) ).

tcf(c_36602,plain,
    ( aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))
    | ~ aScalar0(xH)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xE),xP)) ),
    inference(superposition,[status(thm)],[c_36396,c_1176]) ).

tcf(c_36605,plain,
    ( aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))
    | ~ aScalar0(xE)
    | ~ aScalar0(sdtasdt0(sdtasdt0(xE,xE),xP)) ),
    inference(superposition,[status(thm)],[c_36397,c_1176]) ).

tcf(c_36606,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(global_subsumption_just,[status(thm)],[c_33771,c_127,c_117,c_2370,c_3628,c_33771]) ).

tcf(c_36609,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_36606,c_31596]) ).

tcf(c_36610,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2323]) ).

tcf(c_36611,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_26758]) ).

tcf(c_36612,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_28604]) ).

tcf(c_36613,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_28603]) ).

tcf(c_36614,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_26757]) ).

tcf(c_36615,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_27461]) ).

tcf(c_36616,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_26756]) ).

tcf(c_36617,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2343]) ).

tcf(c_36618,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_2377]) ).

tcf(c_36619,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_8198]) ).

tcf(c_36620,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_8197]) ).

tcf(c_36621,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_8196]) ).

tcf(c_36622,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2487]) ).

tcf(c_36623,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_7528]) ).

tcf(c_36624,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_7527]) ).

tcf(c_36625,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_7526]) ).

tcf(c_36626,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2445]) ).

tcf(c_36627,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_6922]) ).

tcf(c_36628,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_6921]) ).

tcf(c_36629,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_6920]) ).

tcf(c_36630,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2350]) ).

tcf(c_36631,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_5744]) ).

tcf(c_36632,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_5743]) ).

tcf(c_36633,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_5742]) ).

tcf(c_36634,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2306]) ).

tcf(c_36635,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_4055]) ).

tcf(c_36636,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_3410]) ).

tcf(c_36637,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_3318]) ).

tcf(c_36638,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2939]) ).

tcf(c_36639,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2464]) ).

tcf(c_36640,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2403]) ).

tcf(c_36641,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2375]) ).

tcf(c_36642,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_4054]) ).

tcf(c_36643,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_4053]) ).

tcf(c_36644,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2305]) ).

tcf(c_36645,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_2314]) ).

tcf(c_36646,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_2313]) ).

tcf(c_36647,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2342]) ).

tcf(c_36648,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2341]) ).

tcf(c_36649,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_36606,c_2340]) ).

tcf(c_36650,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_1259]) ).

tcf(c_36651,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_2312]) ).

tcf(c_36652,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_2304]) ).

tcf(c_36653,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36606,c_1165]) ).

tcf(c_36747,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_33778,c_127,c_123,c_117,c_2459,c_3628,c_33778]) ).

tcf(c_36750,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_36747,c_31596]) ).

tcf(c_36751,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2323]) ).

tcf(c_36752,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_26758]) ).

tcf(c_36753,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_28604]) ).

tcf(c_36754,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_28603]) ).

tcf(c_36755,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_26757]) ).

tcf(c_36756,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_27461]) ).

tcf(c_36757,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_26756]) ).

tcf(c_36758,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2343]) ).

tcf(c_36759,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_2377]) ).

tcf(c_36760,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_8198]) ).

tcf(c_36761,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_8197]) ).

tcf(c_36762,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_8196]) ).

tcf(c_36763,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2487]) ).

tcf(c_36764,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_7528]) ).

tcf(c_36765,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_7527]) ).

tcf(c_36766,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_7526]) ).

tcf(c_36767,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2445]) ).

tcf(c_36768,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_6922]) ).

tcf(c_36769,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_6921]) ).

tcf(c_36770,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_6920]) ).

tcf(c_36771,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2350]) ).

tcf(c_36772,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_5744]) ).

tcf(c_36773,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_5743]) ).

tcf(c_36774,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_5742]) ).

tcf(c_36775,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2306]) ).

tcf(c_36776,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_4055]) ).

tcf(c_36777,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_3410]) ).

tcf(c_36778,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_3318]) ).

tcf(c_36779,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2939]) ).

tcf(c_36780,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2464]) ).

tcf(c_36781,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2403]) ).

tcf(c_36782,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2375]) ).

tcf(c_36783,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_4054]) ).

tcf(c_36784,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_4053]) ).

tcf(c_36785,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2305]) ).

tcf(c_36786,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_2314]) ).

tcf(c_36787,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_2313]) ).

tcf(c_36788,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2342]) ).

tcf(c_36789,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2341]) ).

tcf(c_36790,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_36747,c_2340]) ).

tcf(c_36791,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_1259]) ).

tcf(c_36792,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_2312]) ).

tcf(c_36793,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_2304]) ).

tcf(c_36794,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36747,c_1165]) ).

tcf(c_36956,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_33779,c_117,c_2887,c_3628,c_33779]) ).

tcf(c_36959,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_36956,c_31596]) ).

tcf(c_36960,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2323]) ).

tcf(c_36961,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_26758]) ).

tcf(c_36962,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_28604]) ).

tcf(c_36963,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_28603]) ).

tcf(c_36964,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_26757]) ).

tcf(c_36965,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_27461]) ).

tcf(c_36966,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_26756]) ).

tcf(c_36967,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2343]) ).

tcf(c_36968,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_2377]) ).

tcf(c_36969,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_8198]) ).

tcf(c_36970,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_8197]) ).

tcf(c_36971,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_8196]) ).

tcf(c_36972,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2487]) ).

tcf(c_36973,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_7528]) ).

tcf(c_36974,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_7527]) ).

tcf(c_36975,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_7526]) ).

tcf(c_36976,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2445]) ).

tcf(c_36977,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_6922]) ).

tcf(c_36978,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_6921]) ).

tcf(c_36979,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_6920]) ).

tcf(c_36980,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2350]) ).

tcf(c_36981,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_5744]) ).

tcf(c_36982,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_5743]) ).

tcf(c_36983,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_5742]) ).

tcf(c_36984,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2306]) ).

tcf(c_36985,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_4055]) ).

tcf(c_36986,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_3410]) ).

tcf(c_36987,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_3318]) ).

tcf(c_36988,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2939]) ).

tcf(c_36989,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2464]) ).

tcf(c_36990,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2403]) ).

tcf(c_36991,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2375]) ).

tcf(c_36992,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_4054]) ).

tcf(c_36993,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_4053]) ).

tcf(c_36994,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2305]) ).

tcf(c_36995,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_2314]) ).

tcf(c_36996,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_2313]) ).

tcf(c_36997,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2342]) ).

tcf(c_36998,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2341]) ).

tcf(c_36999,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_36956,c_2340]) ).

tcf(c_37000,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_1259]) ).

tcf(c_37001,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_2312]) ).

tcf(c_37002,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_2304]) ).

tcf(c_37003,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_36956,c_1165]) ).

tcf(c_37107,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_34703,c_117,c_3311,c_3628,c_34703]) ).

tcf(c_37111,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_37107,c_31596]) ).

tcf(c_37112,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2323]) ).

tcf(c_37113,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_26758]) ).

tcf(c_37114,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_28604]) ).

tcf(c_37115,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_28603]) ).

tcf(c_37116,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_26757]) ).

tcf(c_37117,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_27461]) ).

tcf(c_37118,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_26756]) ).

tcf(c_37119,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2343]) ).

tcf(c_37120,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_2377]) ).

tcf(c_37121,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_8198]) ).

tcf(c_37122,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_8197]) ).

tcf(c_37123,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_8196]) ).

tcf(c_37124,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2487]) ).

tcf(c_37125,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_7528]) ).

tcf(c_37126,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_7527]) ).

tcf(c_37127,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_7526]) ).

tcf(c_37128,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2445]) ).

tcf(c_37129,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_6922]) ).

tcf(c_37130,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_6921]) ).

tcf(c_37131,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_6920]) ).

tcf(c_37132,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2350]) ).

tcf(c_37133,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_5744]) ).

tcf(c_37134,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_5743]) ).

tcf(c_37135,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_5742]) ).

tcf(c_37136,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2306]) ).

tcf(c_37137,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_4055]) ).

tcf(c_37138,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_3410]) ).

tcf(c_37139,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_3318]) ).

tcf(c_37140,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2939]) ).

tcf(c_37141,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2464]) ).

tcf(c_37142,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2403]) ).

tcf(c_37143,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2375]) ).

tcf(c_37144,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_4054]) ).

tcf(c_37145,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_4053]) ).

tcf(c_37146,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2305]) ).

tcf(c_37147,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_2314]) ).

tcf(c_37148,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_2313]) ).

tcf(c_37149,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2342]) ).

tcf(c_37150,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2341]) ).

tcf(c_37151,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_37107,c_2340]) ).

tcf(c_37152,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_1259]) ).

tcf(c_37153,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_2312]) ).

tcf(c_37154,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_2304]) ).

tcf(c_37155,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37107,c_1165]) ).

tcf(c_37268,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_34705,c_117,c_3360,c_3628,c_34705]) ).

tcf(c_37272,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_37268,c_31596]) ).

tcf(c_37273,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2323]) ).

tcf(c_37274,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_26758]) ).

tcf(c_37275,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_28604]) ).

tcf(c_37276,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_28603]) ).

tcf(c_37277,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_26757]) ).

tcf(c_37278,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_27461]) ).

tcf(c_37279,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_26756]) ).

tcf(c_37280,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2343]) ).

tcf(c_37281,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_2377]) ).

tcf(c_37282,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_8198]) ).

tcf(c_37283,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_8197]) ).

tcf(c_37284,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_8196]) ).

tcf(c_37285,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2487]) ).

tcf(c_37286,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_7528]) ).

tcf(c_37287,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_7527]) ).

tcf(c_37288,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_7526]) ).

tcf(c_37289,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2445]) ).

tcf(c_37290,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_6922]) ).

tcf(c_37291,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_6921]) ).

tcf(c_37292,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_6920]) ).

tcf(c_37293,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2350]) ).

tcf(c_37294,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_5744]) ).

tcf(c_37295,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_5743]) ).

tcf(c_37296,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_5742]) ).

tcf(c_37297,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2306]) ).

tcf(c_37298,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_4055]) ).

tcf(c_37299,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_3410]) ).

tcf(c_37300,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_3318]) ).

tcf(c_37301,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2939]) ).

tcf(c_37302,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2464]) ).

tcf(c_37303,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2403]) ).

tcf(c_37304,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2375]) ).

tcf(c_37305,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_4054]) ).

tcf(c_37306,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_4053]) ).

tcf(c_37307,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2305]) ).

tcf(c_37308,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_2314]) ).

tcf(c_37309,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_2313]) ).

tcf(c_37310,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2342]) ).

tcf(c_37311,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2341]) ).

tcf(c_37312,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_37268,c_2340]) ).

tcf(c_37313,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_1259]) ).

tcf(c_37314,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_2312]) ).

tcf(c_37315,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_2304]) ).

tcf(c_37316,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37268,c_1165]) ).

tcf(c_37485,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(global_subsumption_just,[status(thm)],[c_34708,c_123,c_117,c_2361,c_4371,c_34708]) ).

tcf(c_37489,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2348,c_37485]) ).

tcf(c_37490,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_37485,c_31596]) ).

tcf(c_37491,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2323]) ).

tcf(c_37492,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_26758]) ).

tcf(c_37493,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_28604]) ).

tcf(c_37494,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_28603]) ).

tcf(c_37495,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_26757]) ).

tcf(c_37496,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_27461]) ).

tcf(c_37497,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_26756]) ).

tcf(c_37498,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2343]) ).

tcf(c_37499,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_2377]) ).

tcf(c_37500,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_8198]) ).

tcf(c_37501,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_8197]) ).

tcf(c_37502,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_8196]) ).

tcf(c_37503,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2487]) ).

tcf(c_37504,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_7528]) ).

tcf(c_37505,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_7527]) ).

tcf(c_37506,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_7526]) ).

tcf(c_37507,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2445]) ).

tcf(c_37508,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_6922]) ).

tcf(c_37509,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_6921]) ).

tcf(c_37510,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_6920]) ).

tcf(c_37511,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2350]) ).

tcf(c_37512,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_5744]) ).

tcf(c_37513,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_5743]) ).

tcf(c_37514,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_5742]) ).

tcf(c_37515,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2306]) ).

tcf(c_37516,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_4055]) ).

tcf(c_37517,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_3410]) ).

tcf(c_37518,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_3318]) ).

tcf(c_37519,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2939]) ).

tcf(c_37520,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2464]) ).

tcf(c_37521,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2403]) ).

tcf(c_37522,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2375]) ).

tcf(c_37523,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_4054]) ).

tcf(c_37524,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_4053]) ).

tcf(c_37525,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2305]) ).

tcf(c_37526,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_2314]) ).

tcf(c_37527,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_2313]) ).

tcf(c_37528,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2342]) ).

tcf(c_37529,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2341]) ).

tcf(c_37530,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37485,c_2340]) ).

tcf(c_37531,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_1259]) ).

tcf(c_37532,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_2312]) ).

tcf(c_37533,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_2304]) ).

tcf(c_37534,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37485,c_1165]) ).

tcf(c_37681,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(global_subsumption_just,[status(thm)],[c_34712,c_127,c_123,c_117,c_2370,c_4371,c_34712]) ).

tcf(c_37684,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2348,c_37681]) ).

tcf(c_37685,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_37681,c_31596]) ).

tcf(c_37686,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2323]) ).

tcf(c_37687,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_26758]) ).

tcf(c_37688,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_28604]) ).

tcf(c_37689,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_28603]) ).

tcf(c_37690,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_26757]) ).

tcf(c_37691,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_27461]) ).

tcf(c_37692,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_26756]) ).

tcf(c_37693,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2343]) ).

tcf(c_37694,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_2377]) ).

tcf(c_37695,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_8198]) ).

tcf(c_37696,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_8197]) ).

tcf(c_37697,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_8196]) ).

tcf(c_37698,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2487]) ).

tcf(c_37699,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_7528]) ).

tcf(c_37700,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_7527]) ).

tcf(c_37701,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_7526]) ).

tcf(c_37702,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2445]) ).

tcf(c_37703,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_6922]) ).

tcf(c_37704,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_6921]) ).

tcf(c_37705,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_6920]) ).

tcf(c_37706,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2350]) ).

tcf(c_37707,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_5744]) ).

tcf(c_37708,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_5743]) ).

tcf(c_37709,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_5742]) ).

tcf(c_37710,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2306]) ).

tcf(c_37711,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_4055]) ).

tcf(c_37712,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_3410]) ).

tcf(c_37713,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_3318]) ).

tcf(c_37714,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2939]) ).

tcf(c_37715,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2464]) ).

tcf(c_37716,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2403]) ).

tcf(c_37717,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2375]) ).

tcf(c_37718,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_4054]) ).

tcf(c_37719,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_4053]) ).

tcf(c_37720,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2305]) ).

tcf(c_37721,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_2314]) ).

tcf(c_37722,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_2313]) ).

tcf(c_37723,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2342]) ).

tcf(c_37724,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2341]) ).

tcf(c_37725,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_37681,c_2340]) ).

tcf(c_37726,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_1259]) ).

tcf(c_37727,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_2312]) ).

tcf(c_37728,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_2304]) ).

tcf(c_37729,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37681,c_1165]) ).

tcf(c_37982,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_37489,c_31596]) ).

tcf(c_37983,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2323]) ).

tcf(c_37984,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_26758]) ).

tcf(c_37985,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_28604]) ).

tcf(c_37986,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_28603]) ).

tcf(c_37987,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_26757]) ).

tcf(c_37988,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_27461]) ).

tcf(c_37989,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_26756]) ).

tcf(c_37990,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2343]) ).

tcf(c_37991,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_2377]) ).

tcf(c_37992,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_8198]) ).

tcf(c_37993,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_8197]) ).

tcf(c_37994,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_8196]) ).

tcf(c_37995,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2487]) ).

tcf(c_37996,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_7528]) ).

tcf(c_37997,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_7527]) ).

tcf(c_37998,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_7526]) ).

tcf(c_37999,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2445]) ).

tcf(c_38000,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_6922]) ).

tcf(c_38001,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_6921]) ).

tcf(c_38002,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_6920]) ).

tcf(c_38003,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2350]) ).

tcf(c_38004,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_5744]) ).

tcf(c_38005,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_5743]) ).

tcf(c_38006,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_5742]) ).

tcf(c_38007,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2306]) ).

tcf(c_38008,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_4055]) ).

tcf(c_38009,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_3410]) ).

tcf(c_38010,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_3318]) ).

tcf(c_38011,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2939]) ).

tcf(c_38012,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2464]) ).

tcf(c_38013,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2403]) ).

tcf(c_38014,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2375]) ).

tcf(c_38015,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_4054]) ).

tcf(c_38016,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_4053]) ).

tcf(c_38017,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2305]) ).

tcf(c_38018,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_2314]) ).

tcf(c_38019,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_2313]) ).

tcf(c_38020,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2342]) ).

tcf(c_38021,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2341]) ).

tcf(c_38022,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37489,c_2340]) ).

tcf(c_38023,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_1259]) ).

tcf(c_38024,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_2312]) ).

tcf(c_38025,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_2304]) ).

tcf(c_38026,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37489,c_1165]) ).

tcf(c_38390,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_37684,c_31596]) ).

tcf(c_38391,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2323]) ).

tcf(c_38392,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_26758]) ).

tcf(c_38393,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_28604]) ).

tcf(c_38394,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_28603]) ).

tcf(c_38395,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_26757]) ).

tcf(c_38396,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_27461]) ).

tcf(c_38397,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_26756]) ).

tcf(c_38398,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2343]) ).

tcf(c_38399,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_2377]) ).

tcf(c_38400,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_8198]) ).

tcf(c_38401,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_8197]) ).

tcf(c_38402,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_8196]) ).

tcf(c_38403,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2487]) ).

tcf(c_38404,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_7528]) ).

tcf(c_38405,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_7527]) ).

tcf(c_38406,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_7526]) ).

tcf(c_38407,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2445]) ).

tcf(c_38408,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_6922]) ).

tcf(c_38409,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_6921]) ).

tcf(c_38410,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_6920]) ).

tcf(c_38411,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2350]) ).

tcf(c_38412,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_5744]) ).

tcf(c_38413,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_5743]) ).

tcf(c_38414,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_5742]) ).

tcf(c_38415,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2306]) ).

tcf(c_38416,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_4055]) ).

tcf(c_38417,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_3410]) ).

tcf(c_38418,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_3318]) ).

tcf(c_38419,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2939]) ).

tcf(c_38420,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2464]) ).

tcf(c_38421,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2403]) ).

tcf(c_38422,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2375]) ).

tcf(c_38423,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_4054]) ).

tcf(c_38424,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_4053]) ).

tcf(c_38425,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2305]) ).

tcf(c_38426,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_2314]) ).

tcf(c_38427,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_2313]) ).

tcf(c_38428,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2342]) ).

tcf(c_38429,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2341]) ).

tcf(c_38430,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_37684,c_2340]) ).

tcf(c_38431,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_1259]) ).

tcf(c_38432,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_2312]) ).

tcf(c_38433,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_2304]) ).

tcf(c_38434,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_37684,c_1165]) ).

tcf(c_38631,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_34715,c_127,c_123,c_117,c_2459,c_4371,c_34715]) ).

tcf(c_38635,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_38631,c_31596]) ).

tcf(c_38636,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2323]) ).

tcf(c_38637,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_26758]) ).

tcf(c_38638,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_28604]) ).

tcf(c_38639,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_28603]) ).

tcf(c_38640,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_26757]) ).

tcf(c_38641,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_27461]) ).

tcf(c_38642,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_26756]) ).

tcf(c_38643,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2343]) ).

tcf(c_38644,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_2377]) ).

tcf(c_38645,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_8198]) ).

tcf(c_38646,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_8197]) ).

tcf(c_38647,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_8196]) ).

tcf(c_38648,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2487]) ).

tcf(c_38649,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_7528]) ).

tcf(c_38650,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_7527]) ).

tcf(c_38651,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_7526]) ).

tcf(c_38652,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2445]) ).

tcf(c_38653,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_6922]) ).

tcf(c_38654,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_6921]) ).

tcf(c_38655,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_6920]) ).

tcf(c_38656,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2350]) ).

tcf(c_38657,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_5744]) ).

tcf(c_38658,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_5743]) ).

tcf(c_38659,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_5742]) ).

tcf(c_38660,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2306]) ).

tcf(c_38661,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_4055]) ).

tcf(c_38662,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_3410]) ).

tcf(c_38663,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_3318]) ).

tcf(c_38664,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2939]) ).

tcf(c_38665,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2464]) ).

tcf(c_38666,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2403]) ).

tcf(c_38667,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2375]) ).

tcf(c_38668,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_4054]) ).

tcf(c_38669,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_4053]) ).

tcf(c_38670,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2305]) ).

tcf(c_38671,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_2314]) ).

tcf(c_38672,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_2313]) ).

tcf(c_38673,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2342]) ).

tcf(c_38674,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2341]) ).

tcf(c_38675,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_38631,c_2340]) ).

tcf(c_38676,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_1259]) ).

tcf(c_38677,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_2312]) ).

tcf(c_38678,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_2304]) ).

tcf(c_38679,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38631,c_1165]) ).

tcf(c_38735,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_34717,c_123,c_117,c_2887,c_4371,c_34717]) ).

tcf(c_38739,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_38735,c_31596]) ).

tcf(c_38740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2323]) ).

tcf(c_38741,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_26758]) ).

tcf(c_38742,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_28604]) ).

tcf(c_38743,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_28603]) ).

tcf(c_38744,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_26757]) ).

tcf(c_38745,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_27461]) ).

tcf(c_38746,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_26756]) ).

tcf(c_38747,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2343]) ).

tcf(c_38748,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_2377]) ).

tcf(c_38749,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_8198]) ).

tcf(c_38750,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_8197]) ).

tcf(c_38751,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_8196]) ).

tcf(c_38752,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2487]) ).

tcf(c_38753,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_7528]) ).

tcf(c_38754,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_7527]) ).

tcf(c_38755,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_7526]) ).

tcf(c_38756,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2445]) ).

tcf(c_38757,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_6922]) ).

tcf(c_38758,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_6921]) ).

tcf(c_38759,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_6920]) ).

tcf(c_38760,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2350]) ).

tcf(c_38761,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_5744]) ).

tcf(c_38762,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_5743]) ).

tcf(c_38763,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_5742]) ).

tcf(c_38764,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2306]) ).

tcf(c_38765,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_4055]) ).

tcf(c_38766,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_3410]) ).

tcf(c_38767,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_3318]) ).

tcf(c_38768,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2939]) ).

tcf(c_38769,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2464]) ).

tcf(c_38770,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2403]) ).

tcf(c_38771,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2375]) ).

tcf(c_38772,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_4054]) ).

tcf(c_38773,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_4053]) ).

tcf(c_38774,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2305]) ).

tcf(c_38775,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_2314]) ).

tcf(c_38776,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_2313]) ).

tcf(c_38777,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2342]) ).

tcf(c_38778,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2341]) ).

tcf(c_38779,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_38735,c_2340]) ).

tcf(c_38780,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_1259]) ).

tcf(c_38781,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_2312]) ).

tcf(c_38782,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_2304]) ).

tcf(c_38783,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38735,c_1165]) ).

tcf(c_38848,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_34720,c_123,c_117,c_3311,c_4371,c_34720]) ).

tcf(c_38852,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2349,c_38848]) ).

tcf(c_38853,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_38848,c_31596]) ).

tcf(c_38854,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2323]) ).

tcf(c_38855,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_26758]) ).

tcf(c_38856,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_28604]) ).

tcf(c_38857,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_28603]) ).

tcf(c_38858,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_26757]) ).

tcf(c_38859,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_27461]) ).

tcf(c_38860,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_26756]) ).

tcf(c_38861,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2343]) ).

tcf(c_38862,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_2377]) ).

tcf(c_38863,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_8198]) ).

tcf(c_38864,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_8197]) ).

tcf(c_38865,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_8196]) ).

tcf(c_38866,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2487]) ).

tcf(c_38867,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_7528]) ).

tcf(c_38868,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_7527]) ).

tcf(c_38869,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_7526]) ).

tcf(c_38870,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2445]) ).

tcf(c_38871,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_6922]) ).

tcf(c_38872,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_6921]) ).

tcf(c_38873,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_6920]) ).

tcf(c_38874,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2350]) ).

tcf(c_38875,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_5744]) ).

tcf(c_38876,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_5743]) ).

tcf(c_38877,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_5742]) ).

tcf(c_38878,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2306]) ).

tcf(c_38879,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_4055]) ).

tcf(c_38880,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_3410]) ).

tcf(c_38881,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_3318]) ).

tcf(c_38882,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2939]) ).

tcf(c_38883,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2464]) ).

tcf(c_38884,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2403]) ).

tcf(c_38885,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2375]) ).

tcf(c_38886,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_4054]) ).

tcf(c_38887,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_4053]) ).

tcf(c_38888,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2305]) ).

tcf(c_38889,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_2314]) ).

tcf(c_38890,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_2313]) ).

tcf(c_38891,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2342]) ).

tcf(c_38892,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2341]) ).

tcf(c_38893,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_38848,c_2340]) ).

tcf(c_38894,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_1259]) ).

tcf(c_38895,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_2312]) ).

tcf(c_38896,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_2304]) ).

tcf(c_38897,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38848,c_1165]) ).

tcf(c_39046,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_38852,c_31596]) ).

tcf(c_39047,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2323]) ).

tcf(c_39048,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_26758]) ).

tcf(c_39049,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_28604]) ).

tcf(c_39050,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_28603]) ).

tcf(c_39051,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_26757]) ).

tcf(c_39052,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_27461]) ).

tcf(c_39053,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_26756]) ).

tcf(c_39054,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2343]) ).

tcf(c_39055,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_2377]) ).

tcf(c_39056,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_8198]) ).

tcf(c_39057,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_8197]) ).

tcf(c_39058,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_8196]) ).

tcf(c_39059,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2487]) ).

tcf(c_39060,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_7528]) ).

tcf(c_39061,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_7527]) ).

tcf(c_39062,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_7526]) ).

tcf(c_39063,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2445]) ).

tcf(c_39064,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_6922]) ).

tcf(c_39065,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_6921]) ).

tcf(c_39066,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_6920]) ).

tcf(c_39067,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2350]) ).

tcf(c_39068,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_5744]) ).

tcf(c_39069,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_5743]) ).

tcf(c_39070,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_5742]) ).

tcf(c_39071,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2306]) ).

tcf(c_39072,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_4055]) ).

tcf(c_39073,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_3410]) ).

tcf(c_39074,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_3318]) ).

tcf(c_39075,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2939]) ).

tcf(c_39076,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2464]) ).

tcf(c_39077,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2403]) ).

tcf(c_39078,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2375]) ).

tcf(c_39079,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_4054]) ).

tcf(c_39080,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_4053]) ).

tcf(c_39081,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2305]) ).

tcf(c_39082,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_2314]) ).

tcf(c_39083,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_2313]) ).

tcf(c_39084,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2342]) ).

tcf(c_39085,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2341]) ).

tcf(c_39086,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_38852,c_2340]) ).

tcf(c_39087,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_1259]) ).

tcf(c_39088,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_2312]) ).

tcf(c_39089,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_2304]) ).

tcf(c_39090,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_38852,c_1165]) ).

tcf(c_39320,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_34723,c_123,c_117,c_3360,c_4371,c_34723]) ).

tcf(c_39325,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_39320,c_31596]) ).

tcf(c_39326,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2323]) ).

tcf(c_39327,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_26758]) ).

tcf(c_39328,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_28604]) ).

tcf(c_39329,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_28603]) ).

tcf(c_39330,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_26757]) ).

tcf(c_39331,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_27461]) ).

tcf(c_39332,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_26756]) ).

tcf(c_39333,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2343]) ).

tcf(c_39334,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_2377]) ).

tcf(c_39335,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_8198]) ).

tcf(c_39336,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_8197]) ).

tcf(c_39337,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_8196]) ).

tcf(c_39338,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2487]) ).

tcf(c_39339,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_7528]) ).

tcf(c_39340,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_7527]) ).

tcf(c_39341,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_7526]) ).

tcf(c_39342,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2445]) ).

tcf(c_39343,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_6922]) ).

tcf(c_39344,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_6921]) ).

tcf(c_39345,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_6920]) ).

tcf(c_39346,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2350]) ).

tcf(c_39347,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_5744]) ).

tcf(c_39348,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_5743]) ).

tcf(c_39349,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_5742]) ).

tcf(c_39350,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2306]) ).

tcf(c_39351,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_4055]) ).

tcf(c_39352,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_3410]) ).

tcf(c_39353,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_3318]) ).

tcf(c_39354,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2939]) ).

tcf(c_39355,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2464]) ).

tcf(c_39356,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2403]) ).

tcf(c_39357,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2375]) ).

tcf(c_39358,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_4054]) ).

tcf(c_39359,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_4053]) ).

tcf(c_39360,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2305]) ).

tcf(c_39361,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_2314]) ).

tcf(c_39362,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_2313]) ).

tcf(c_39363,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2342]) ).

tcf(c_39364,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2341]) ).

tcf(c_39365,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_39320,c_2340]) ).

tcf(c_39366,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_1259]) ).

tcf(c_39367,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_2312]) ).

tcf(c_39368,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_2304]) ).

tcf(c_39369,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39320,c_1165]) ).

tcf(c_39520,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(global_subsumption_just,[status(thm)],[c_34726,c_123,c_117,c_2361,c_3619,c_34726]) ).

tcf(c_39524,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_39520,c_31596]) ).

tcf(c_39525,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2323]) ).

tcf(c_39526,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_26758]) ).

tcf(c_39527,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_28604]) ).

tcf(c_39528,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_28603]) ).

tcf(c_39529,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_26757]) ).

tcf(c_39530,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_27461]) ).

tcf(c_39531,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_26756]) ).

tcf(c_39532,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2343]) ).

tcf(c_39533,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_2377]) ).

tcf(c_39534,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_8198]) ).

tcf(c_39535,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_8197]) ).

tcf(c_39536,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_8196]) ).

tcf(c_39537,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2487]) ).

tcf(c_39538,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_7528]) ).

tcf(c_39539,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_7527]) ).

tcf(c_39540,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_7526]) ).

tcf(c_39541,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2445]) ).

tcf(c_39542,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_6922]) ).

tcf(c_39543,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_6921]) ).

tcf(c_39544,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_6920]) ).

tcf(c_39545,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2350]) ).

tcf(c_39546,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_5744]) ).

tcf(c_39547,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_5743]) ).

tcf(c_39548,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_5742]) ).

tcf(c_39549,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2306]) ).

tcf(c_39550,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_4055]) ).

tcf(c_39551,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_3410]) ).

tcf(c_39552,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_3318]) ).

tcf(c_39553,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2939]) ).

tcf(c_39554,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2464]) ).

tcf(c_39555,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2403]) ).

tcf(c_39556,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2375]) ).

tcf(c_39557,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_4054]) ).

tcf(c_39558,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_4053]) ).

tcf(c_39559,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2305]) ).

tcf(c_39560,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_2314]) ).

tcf(c_39561,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_2313]) ).

tcf(c_39562,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2342]) ).

tcf(c_39563,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2341]) ).

tcf(c_39564,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39520,c_2340]) ).

tcf(c_39565,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_1259]) ).

tcf(c_39566,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_2312]) ).

tcf(c_39567,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_2304]) ).

tcf(c_39568,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39520,c_1165]) ).

tcf(c_39955,plain,
    aScalar0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(global_subsumption_just,[status(thm)],[c_34729,c_127,c_123,c_117,c_2370,c_3619,c_34729]) ).

tcf(c_39958,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_39955,c_31596]) ).

tcf(c_39959,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2323]) ).

tcf(c_39960,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_26758]) ).

tcf(c_39961,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_28604]) ).

tcf(c_39962,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_28603]) ).

tcf(c_39963,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_26757]) ).

tcf(c_39964,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_27461]) ).

tcf(c_39965,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_26756]) ).

tcf(c_39966,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2343]) ).

tcf(c_39967,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_2377]) ).

tcf(c_39968,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_8198]) ).

tcf(c_39969,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_8197]) ).

tcf(c_39970,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_8196]) ).

tcf(c_39971,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2487]) ).

tcf(c_39972,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_7528]) ).

tcf(c_39973,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_7527]) ).

tcf(c_39974,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_7526]) ).

tcf(c_39975,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2445]) ).

tcf(c_39976,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_6922]) ).

tcf(c_39977,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_6921]) ).

tcf(c_39978,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_6920]) ).

tcf(c_39979,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2350]) ).

tcf(c_39980,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_5744]) ).

tcf(c_39981,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_5743]) ).

tcf(c_39982,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_5742]) ).

tcf(c_39983,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2306]) ).

tcf(c_39984,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_4055]) ).

tcf(c_39985,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_3410]) ).

tcf(c_39986,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_3318]) ).

tcf(c_39987,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2939]) ).

tcf(c_39988,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2464]) ).

tcf(c_39989,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2403]) ).

tcf(c_39990,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2375]) ).

tcf(c_39991,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_4054]) ).

tcf(c_39992,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_4053]) ).

tcf(c_39993,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2305]) ).

tcf(c_39994,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_2314]) ).

tcf(c_39995,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_2313]) ).

tcf(c_39996,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2342]) ).

tcf(c_39997,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2341]) ).

tcf(c_39998,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_39955,c_2340]) ).

tcf(c_39999,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_1259]) ).

tcf(c_40000,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_2312]) ).

tcf(c_40001,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_2304]) ).

tcf(c_40002,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_39955,c_1165]) ).

tcf(c_40393,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(global_subsumption_just,[status(thm)],[c_36039,c_127,c_123,c_2459,c_3619,c_36039]) ).

tcf(c_40396,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_40393,c_31596]) ).

tcf(c_40397,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2323]) ).

tcf(c_40398,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_26758]) ).

tcf(c_40399,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_28604]) ).

tcf(c_40400,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_28603]) ).

tcf(c_40401,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_26757]) ).

tcf(c_40402,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_27461]) ).

tcf(c_40403,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_26756]) ).

tcf(c_40404,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2343]) ).

tcf(c_40405,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_2377]) ).

tcf(c_40406,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_8198]) ).

tcf(c_40407,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_8197]) ).

tcf(c_40408,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_8196]) ).

tcf(c_40409,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2487]) ).

tcf(c_40410,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_7528]) ).

tcf(c_40411,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_7527]) ).

tcf(c_40412,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_7526]) ).

tcf(c_40413,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2445]) ).

tcf(c_40414,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_6922]) ).

tcf(c_40415,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_6921]) ).

tcf(c_40416,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_6920]) ).

tcf(c_40417,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2350]) ).

tcf(c_40418,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_5744]) ).

tcf(c_40419,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_5743]) ).

tcf(c_40420,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_5742]) ).

tcf(c_40421,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2306]) ).

tcf(c_40422,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_4055]) ).

tcf(c_40423,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_3410]) ).

tcf(c_40424,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_3318]) ).

tcf(c_40425,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2939]) ).

tcf(c_40426,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2464]) ).

tcf(c_40427,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2403]) ).

tcf(c_40428,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2375]) ).

tcf(c_40429,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_4054]) ).

tcf(c_40430,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_4053]) ).

tcf(c_40431,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2305]) ).

tcf(c_40432,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_2314]) ).

tcf(c_40433,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_2313]) ).

tcf(c_40434,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2342]) ).

tcf(c_40435,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2341]) ).

tcf(c_40436,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_40393,c_2340]) ).

tcf(c_40437,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_1259]) ).

tcf(c_40438,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_2312]) ).

tcf(c_40439,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_2304]) ).

tcf(c_40440,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_40393,c_1165]) ).

tcf(c_44737,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(global_subsumption_just,[status(thm)],[c_36040,c_123,c_2887,c_3619,c_36040]) ).

tcf(c_44740,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_44737,c_31596]) ).

tcf(c_44741,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2323]) ).

tcf(c_44742,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_26758]) ).

tcf(c_44743,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_28604]) ).

tcf(c_44744,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_28603]) ).

tcf(c_44745,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_26757]) ).

tcf(c_44746,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_27461]) ).

tcf(c_44747,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_26756]) ).

tcf(c_44748,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2343]) ).

tcf(c_44749,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_2377]) ).

tcf(c_44750,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_8198]) ).

tcf(c_44751,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_8197]) ).

tcf(c_44752,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_8196]) ).

tcf(c_44753,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2487]) ).

tcf(c_44754,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_7528]) ).

tcf(c_44755,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_7527]) ).

tcf(c_44756,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_7526]) ).

tcf(c_44757,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2445]) ).

tcf(c_44758,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_6922]) ).

tcf(c_44759,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_6921]) ).

tcf(c_44760,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_6920]) ).

tcf(c_44761,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2350]) ).

tcf(c_44762,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_5744]) ).

tcf(c_44763,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_5743]) ).

tcf(c_44764,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_5742]) ).

tcf(c_44765,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2306]) ).

tcf(c_44766,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_4055]) ).

tcf(c_44767,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_3410]) ).

tcf(c_44768,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_3318]) ).

tcf(c_44769,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2939]) ).

tcf(c_44770,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2464]) ).

tcf(c_44771,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2403]) ).

tcf(c_44772,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2375]) ).

tcf(c_44773,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_4054]) ).

tcf(c_44774,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_4053]) ).

tcf(c_44775,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2305]) ).

tcf(c_44776,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_2314]) ).

tcf(c_44777,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_2313]) ).

tcf(c_44778,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2342]) ).

tcf(c_44779,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2341]) ).

tcf(c_44780,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_44737,c_2340]) ).

tcf(c_44781,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_1259]) ).

tcf(c_44782,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_2312]) ).

tcf(c_44783,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_2304]) ).

tcf(c_44784,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_44737,c_1165]) ).

tcf(c_45010,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(global_subsumption_just,[status(thm)],[c_36042,c_123,c_3311,c_3619,c_36042]) ).

tcf(c_45013,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2349,c_45010]) ).

tcf(c_45014,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_45010,c_31596]) ).

tcf(c_45015,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2323]) ).

tcf(c_45016,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_26758]) ).

tcf(c_45017,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_28604]) ).

tcf(c_45018,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_28603]) ).

tcf(c_45019,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_26757]) ).

tcf(c_45020,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_27461]) ).

tcf(c_45021,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_26756]) ).

tcf(c_45022,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2343]) ).

tcf(c_45023,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_2377]) ).

tcf(c_45024,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_8198]) ).

tcf(c_45025,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_8197]) ).

tcf(c_45026,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_8196]) ).

tcf(c_45027,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2487]) ).

tcf(c_45028,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_7528]) ).

tcf(c_45029,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_7527]) ).

tcf(c_45030,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_7526]) ).

tcf(c_45031,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2445]) ).

tcf(c_45032,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_6922]) ).

tcf(c_45033,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_6921]) ).

tcf(c_45034,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_6920]) ).

tcf(c_45035,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2350]) ).

tcf(c_45036,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_5744]) ).

tcf(c_45037,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_5743]) ).

tcf(c_45038,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_5742]) ).

tcf(c_45039,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2306]) ).

tcf(c_45040,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_4055]) ).

tcf(c_45041,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_3410]) ).

tcf(c_45042,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_3318]) ).

tcf(c_45043,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2939]) ).

tcf(c_45044,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2464]) ).

tcf(c_45045,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2403]) ).

tcf(c_45046,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2375]) ).

tcf(c_45047,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_4054]) ).

tcf(c_45048,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_4053]) ).

tcf(c_45049,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2305]) ).

tcf(c_45050,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_2314]) ).

tcf(c_45051,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_2313]) ).

tcf(c_45052,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2342]) ).

tcf(c_45053,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2341]) ).

tcf(c_45054,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_45010,c_2340]) ).

tcf(c_45055,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_1259]) ).

tcf(c_45056,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_2312]) ).

tcf(c_45057,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_2304]) ).

tcf(c_45058,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45010,c_1165]) ).

tcf(c_45148,plain,
    aScalar0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(global_subsumption_just,[status(thm)],[c_36046,c_123,c_3360,c_3619,c_36046]) ).

tcf(c_45152,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_45148,c_31596]) ).

tcf(c_45153,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2323]) ).

tcf(c_45154,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_26758]) ).

tcf(c_45155,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_28604]) ).

tcf(c_45156,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_28603]) ).

tcf(c_45157,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_26757]) ).

tcf(c_45158,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_27461]) ).

tcf(c_45159,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_26756]) ).

tcf(c_45160,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2343]) ).

tcf(c_45161,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_2377]) ).

tcf(c_45162,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_8198]) ).

tcf(c_45163,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_8197]) ).

tcf(c_45164,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_8196]) ).

tcf(c_45165,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2487]) ).

tcf(c_45166,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_7528]) ).

tcf(c_45167,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_7527]) ).

tcf(c_45168,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_7526]) ).

tcf(c_45169,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2445]) ).

tcf(c_45170,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_6922]) ).

tcf(c_45171,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_6921]) ).

tcf(c_45172,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_6920]) ).

tcf(c_45173,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2350]) ).

tcf(c_45174,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_5744]) ).

tcf(c_45175,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_5743]) ).

tcf(c_45176,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_5742]) ).

tcf(c_45177,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2306]) ).

tcf(c_45178,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_4055]) ).

tcf(c_45179,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_3410]) ).

tcf(c_45180,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_3318]) ).

tcf(c_45181,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2939]) ).

tcf(c_45182,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2464]) ).

tcf(c_45183,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2403]) ).

tcf(c_45184,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2375]) ).

tcf(c_45185,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_4054]) ).

tcf(c_45186,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_4053]) ).

tcf(c_45187,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2305]) ).

tcf(c_45188,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_2314]) ).

tcf(c_45189,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_2313]) ).

tcf(c_45190,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2342]) ).

tcf(c_45191,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2341]) ).

tcf(c_45192,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_45148,c_2340]) ).

tcf(c_45193,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_1259]) ).

tcf(c_45194,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_2312]) ).

tcf(c_45195,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_2304]) ).

tcf(c_45196,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45148,c_1165]) ).

tcf(c_45390,plain,
    aScalar0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(global_subsumption_just,[status(thm)],[c_36599,c_127,c_36243,c_36599]) ).

tcf(c_45394,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45390,c_31596]) ).

tcf(c_45395,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2323]) ).

tcf(c_45396,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_26758]) ).

tcf(c_45397,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_28604]) ).

tcf(c_45398,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_28603]) ).

tcf(c_45399,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_26757]) ).

tcf(c_45400,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_27461]) ).

tcf(c_45401,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_26756]) ).

tcf(c_45402,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2343]) ).

tcf(c_45403,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_2377]) ).

tcf(c_45404,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_8198]) ).

tcf(c_45405,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_8197]) ).

tcf(c_45406,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_8196]) ).

tcf(c_45407,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2487]) ).

tcf(c_45408,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_7528]) ).

tcf(c_45409,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_7527]) ).

tcf(c_45410,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_7526]) ).

tcf(c_45411,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2445]) ).

tcf(c_45412,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_6922]) ).

tcf(c_45413,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_6921]) ).

tcf(c_45414,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_6920]) ).

tcf(c_45415,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2350]) ).

tcf(c_45416,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_5744]) ).

tcf(c_45417,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_5743]) ).

tcf(c_45418,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_5742]) ).

tcf(c_45419,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2306]) ).

tcf(c_45420,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_4055]) ).

tcf(c_45421,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_3410]) ).

tcf(c_45422,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_3318]) ).

tcf(c_45423,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_2939]) ).

tcf(c_45424,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_2464]) ).

tcf(c_45425,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_2403]) ).

tcf(c_45426,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45390,c_2375]) ).

tcf(c_45427,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_4054]) ).

tcf(c_45428,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_4053]) ).

tcf(c_45429,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2305]) ).

tcf(c_45430,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_2314]) ).

tcf(c_45431,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_2313]) ).

tcf(c_45436,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_2312]) ).

tcf(c_45437,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_2304]) ).

tcf(c_45438,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45390,c_1165]) ).

tcf(c_45735,plain,
    aScalar0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(global_subsumption_just,[status(thm)],[c_36602,c_123,c_36243,c_36602]) ).

tcf(c_45739,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45735,c_31596]) ).

tcf(c_45740,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2323]) ).

tcf(c_45741,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_26758]) ).

tcf(c_45742,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_28604]) ).

tcf(c_45743,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_28603]) ).

tcf(c_45744,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_26757]) ).

tcf(c_45745,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_27461]) ).

tcf(c_45746,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_26756]) ).

tcf(c_45747,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2343]) ).

tcf(c_45748,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_2377]) ).

tcf(c_45749,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_8198]) ).

tcf(c_45750,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_8197]) ).

tcf(c_45751,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_8196]) ).

tcf(c_45752,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2487]) ).

tcf(c_45753,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_7528]) ).

tcf(c_45754,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_7527]) ).

tcf(c_45755,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_7526]) ).

tcf(c_45756,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2445]) ).

tcf(c_45757,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_6922]) ).

tcf(c_45758,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_6921]) ).

tcf(c_45759,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_6920]) ).

tcf(c_45760,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2350]) ).

tcf(c_45761,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_5744]) ).

tcf(c_45762,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_5743]) ).

tcf(c_45763,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_5742]) ).

tcf(c_45764,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2306]) ).

tcf(c_45765,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_4055]) ).

tcf(c_45766,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_3410]) ).

tcf(c_45767,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_3318]) ).

tcf(c_45768,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_2939]) ).

tcf(c_45769,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_2464]) ).

tcf(c_45770,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_2403]) ).

tcf(c_45771,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45735,c_2375]) ).

tcf(c_45772,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_4054]) ).

tcf(c_45773,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_4053]) ).

tcf(c_45774,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2305]) ).

tcf(c_45775,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_2314]) ).

tcf(c_45776,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_2313]) ).

tcf(c_45781,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_2312]) ).

tcf(c_45782,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_2304]) ).

tcf(c_45783,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45735,c_1165]) ).

tcf(c_45826,plain,
    aScalar0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(global_subsumption_just,[status(thm)],[c_36605,c_117,c_36243,c_36605]) ).

tcf(c_45830,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45826,c_31596]) ).

tcf(c_45831,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2323]) ).

tcf(c_45832,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_26758]) ).

tcf(c_45833,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_28604]) ).

tcf(c_45834,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_28603]) ).

tcf(c_45835,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_26757]) ).

tcf(c_45836,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_27461]) ).

tcf(c_45837,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_26756]) ).

tcf(c_45838,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2343]) ).

tcf(c_45839,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_2377]) ).

tcf(c_45840,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_8198]) ).

tcf(c_45841,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_8197]) ).

tcf(c_45842,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_8196]) ).

tcf(c_45843,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2487]) ).

tcf(c_45844,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_7528]) ).

tcf(c_45845,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_7527]) ).

tcf(c_45846,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_7526]) ).

tcf(c_45847,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2445]) ).

tcf(c_45848,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_6922]) ).

tcf(c_45849,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_6921]) ).

tcf(c_45850,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_6920]) ).

tcf(c_45851,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2350]) ).

tcf(c_45852,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_5744]) ).

tcf(c_45853,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_5743]) ).

tcf(c_45854,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_5742]) ).

tcf(c_45855,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2306]) ).

tcf(c_45856,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_4055]) ).

tcf(c_45857,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_3410]) ).

tcf(c_45858,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_3318]) ).

tcf(c_45859,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_2939]) ).

tcf(c_45860,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_2464]) ).

tcf(c_45861,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_2403]) ).

tcf(c_45862,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_45826,c_2375]) ).

tcf(c_45863,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_4054]) ).

tcf(c_45864,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_4053]) ).

tcf(c_45865,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2305]) ).

tcf(c_45866,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_2314]) ).

tcf(c_45867,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_2313]) ).

tcf(c_45873,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_2304]) ).

tcf(c_45874,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45826,c_1165]) ).

tcf(c_46140,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_45013,c_31596]) ).

tcf(c_46141,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2323]) ).

tcf(c_46142,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_26758]) ).

tcf(c_46143,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xH,xH)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_28604]) ).

tcf(c_46144,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xH,xE)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_28603]) ).

tcf(c_46145,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_26757]) ).

tcf(c_46146,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_27461]) ).

tcf(c_46147,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_26756]) ).

tcf(c_46148,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(X1_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2343]) ).

tcf(c_46149,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xH)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_2377]) ).

tcf(c_46150,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_8198]) ).

tcf(c_46151,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_8197]) ).

tcf(c_46152,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xP) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_8196]) ).

tcf(c_46153,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2487]) ).

tcf(c_46154,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_7528]) ).

tcf(c_46155,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_7527]) ).

tcf(c_46156,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xH) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_7526]) ).

tcf(c_46157,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2445]) ).

tcf(c_46158,plain,
    sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_6922]) ).

tcf(c_46159,plain,
    sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_6921]) ).

tcf(c_46160,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),xE) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_6920]) ).

tcf(c_46161,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2350]) ).

tcf(c_46162,plain,
    sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_5744]) ).

tcf(c_46163,plain,
    sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_5743]) ).

tcf(c_46164,plain,
    sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_5742]) ).

tcf(c_46165,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xP,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2306]) ).

tcf(c_46166,plain,
    sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_4055]) ).

tcf(c_46167,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_3410]) ).

tcf(c_46168,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_3318]) ).

tcf(c_46169,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(sdtasdt0(xP,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2939]) ).

tcf(c_46170,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2464]) ).

tcf(c_46171,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2403]) ).

tcf(c_46172,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2375]) ).

tcf(c_46173,plain,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_4054]) ).

tcf(c_46174,plain,
    sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_4053]) ).

tcf(c_46175,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xH,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2305]) ).

tcf(c_46176,plain,
    sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_2314]) ).

tcf(c_46177,plain,
    sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_2313]) ).

tcf(c_46178,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),xP) = sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2342]) ).

tcf(c_46179,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),xH) = sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2341]) ).

tcf(c_46180,plain,
    sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_45013,c_2340]) ).

tcf(c_46181,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2) = sdtasdt0(X0_iProver_sdtasdt0_2,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_1259]) ).

tcf(c_46182,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_2312]) ).

tcf(c_46183,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))),X0_iProver_sdtasdt0_2) = sdtasdt0(xE,sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_2304]) ).

tcf(c_46184,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),X0_iProver_sdtasdt0_2),X1_iProver_sdtasdt0_2) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_45013,c_1165]) ).

tcf(c_46274,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xE) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)),
    inference(superposition,[status(thm)],[c_1119,c_2405]) ).

tcf(c_46275,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xH) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_1113,c_2405]) ).

tcf(c_46276,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),xP) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)),
    inference(superposition,[status(thm)],[c_1109,c_2405]) ).

tcf(c_46277,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_2405]) ).

tcf(c_46278,plain,
    ( ( sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xE)))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_2405]) ).

tcf(c_46279,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2670,c_2405]) ).

tcf(c_46281,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2704,c_2405]) ).

tcf(c_46283,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_2371,c_2405]) ).

tcf(c_46284,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_2400,c_2405]) ).

tcf(c_46285,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))),
    inference(superposition,[status(thm)],[c_2460,c_2405]) ).

tcf(c_46286,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2727,c_2405]) ).

tcf(c_46287,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2762,c_2405]) ).

tcf(c_46288,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2819,c_2405]) ).

tcf(c_46289,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2848,c_2405]) ).

tcf(c_46290,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_2885,c_2405]) ).

tcf(c_46291,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_2980,c_2405]) ).

tcf(c_46292,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_2992,c_2405]) ).

tcf(c_46293,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))),
    inference(superposition,[status(thm)],[c_2887,c_2405]) ).

tcf(c_46294,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3045,c_2405]) ).

tcf(c_46295,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3070,c_2405]) ).

tcf(c_46296,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_3131,c_2405]) ).

tcf(c_46297,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_3478,c_2405]) ).

tcf(c_46298,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,xE)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3311,c_2405]) ).

tcf(c_46299,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_3359,c_2405]) ).

tcf(c_46300,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))),
    inference(superposition,[status(thm)],[c_3360,c_2405]) ).

tcf(c_46301,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3528,c_2405]) ).

tcf(c_46302,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3580,c_2405]) ).

tcf(c_46303,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_3638,c_2405]) ).

tcf(c_46304,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3701,c_2405]) ).

tcf(c_46305,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3727,c_2405]) ).

tcf(c_46306,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_3772,c_2405]) ).

tcf(c_46307,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_4495,c_2405]) ).

tcf(c_46308,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_4710,c_2405]) ).

tcf(c_46309,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_4753,c_2405]) ).

tcf(c_46310,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9036,c_2405]) ).

tcf(c_46311,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9139,c_2405]) ).

tcf(c_46312,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_9223,c_2405]) ).

tcf(c_46313,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9418,c_2405]) ).

tcf(c_46314,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9568,c_2405]) ).

tcf(c_46315,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9652,c_2405]) ).

tcf(c_46316,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_9818,c_2405]) ).

tcf(c_46317,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,xE)))),
    inference(superposition,[status(thm)],[c_6147,c_2405]) ).

tcf(c_46318,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_6380,c_2405]) ).

tcf(c_46319,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_6503,c_2405]) ).

tcf(c_46320,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_9959,c_2405]) ).

tcf(c_46321,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_10110,c_2405]) ).

tcf(c_46322,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_8711,c_2405]) ).

tcf(c_46323,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10589,c_2405]) ).

tcf(c_46324,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10653,c_2405]) ).

tcf(c_46325,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_10813,c_2405]) ).

tcf(c_46326,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11014,c_2405]) ).

tcf(c_46327,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_11892,c_2405]) ).

tcf(c_46328,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_12029,c_2405]) ).

tcf(c_46329,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10591,c_2405]) ).

tcf(c_46330,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_10655,c_2405]) ).

tcf(c_46331,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12405,c_2405]) ).

tcf(c_46332,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12483,c_2405]) ).

tcf(c_46333,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_12997,c_2405]) ).

tcf(c_46334,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_12157,c_2405]) ).

tcf(c_46335,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13548,c_2405]) ).

tcf(c_46336,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_13721,c_2405]) ).

tcf(c_46337,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_12155,c_2405]) ).

tcf(c_46338,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14194,c_2405]) ).

tcf(c_46339,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14357,c_2405]) ).

tcf(c_46340,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_14444,c_2405]) ).

tcf(c_46341,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14546,c_2405]) ).

tcf(c_46342,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15137,c_2405]) ).

tcf(c_46343,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_15292,c_2405]) ).

tcf(c_46344,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14196,c_2405]) ).

tcf(c_46345,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14359,c_2405]) ).

tcf(c_46346,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_14446,c_2405]) ).

tcf(c_46347,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13550,c_2405]) ).

tcf(c_46348,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_13723,c_2405]) ).

tcf(c_46349,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_8713,c_2405]) ).

tcf(c_46350,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_13000,c_2405]) ).

tcf(c_46351,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15990,c_2405]) ).

tcf(c_46352,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_9961,c_2405]) ).

tcf(c_46353,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_10112,c_2405]) ).

tcf(c_46354,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_16171,c_2405]) ).

tcf(c_46355,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10819,c_2405]) ).

tcf(c_46356,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16480,c_2405]) ).

tcf(c_46357,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16600,c_2405]) ).

tcf(c_46358,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_16777,c_2405]) ).

tcf(c_46359,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_16992,c_2405]) ).

tcf(c_46360,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17085,c_2405]) ).

tcf(c_46361,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17267,c_2405]) ).

tcf(c_46362,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12408,c_2405]) ).

tcf(c_46363,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_12486,c_2405]) ).

tcf(c_46364,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_15646,c_2405]) ).

tcf(c_46365,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_17452,c_2405]) ).

tcf(c_46366,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17687,c_2405]) ).

tcf(c_46367,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17783,c_2405]) ).

tcf(c_46368,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_17879,c_2405]) ).

tcf(c_46369,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10593,c_2405]) ).

tcf(c_46370,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_10657,c_2405]) ).

tcf(c_46371,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_15807,c_2405]) ).

tcf(c_46372,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_18094,c_2405]) ).

tcf(c_46373,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18573,c_2405]) ).

tcf(c_46374,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18663,c_2405]) ).

tcf(c_46375,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_18854,c_2405]) ).

tcf(c_46376,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_18992,c_2405]) ).

tcf(c_46377,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19230,c_2405]) ).

tcf(c_46378,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_19368,c_2405]) ).

tcf(c_46379,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19540,c_2405]) ).

tcf(c_46380,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19670,c_2405]) ).

tcf(c_46381,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_19967,c_2405]) ).

tcf(c_46382,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_20046,c_2405]) ).

tcf(c_46383,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_20472,c_2405]) ).

tcf(c_46384,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_20682,c_2405]) ).

tcf(c_46385,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21252,c_2405]) ).

tcf(c_46386,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_21392,c_2405]) ).

tcf(c_46387,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_21593,c_2405]) ).

tcf(c_46388,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_21680,c_2405]) ).

tcf(c_46389,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_21965,c_2405]) ).

tcf(c_46390,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22072,c_2405]) ).

tcf(c_46391,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22150,c_2405]) ).

tcf(c_46392,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_22236,c_2405]) ).

tcf(c_46393,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_22660,c_2405]) ).

tcf(c_46394,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22750,c_2405]) ).

tcf(c_46395,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_22858,c_2405]) ).

tcf(c_46396,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_23011,c_2405]) ).

tcf(c_46397,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23448,c_2405]) ).

tcf(c_46398,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23580,c_2405]) ).

tcf(c_46399,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_23907,c_2405]) ).

tcf(c_46400,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24001,c_2405]) ).

tcf(c_46401,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24102,c_2405]) ).

tcf(c_46402,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_24190,c_2405]) ).

tcf(c_46403,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24398,c_2405]) ).

tcf(c_46404,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24481,c_2405]) ).

tcf(c_46405,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_24618,c_2405]) ).

tcf(c_46406,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_21969,c_2405]) ).

tcf(c_46407,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_22241,c_2405]) ).

tcf(c_46408,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_22664,c_2405]) ).

tcf(c_46409,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_23016,c_2405]) ).

tcf(c_46410,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))),
    inference(superposition,[status(thm)],[c_25337,c_2405]) ).

tcf(c_46411,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))),
    inference(superposition,[status(thm)],[c_25976,c_2405]) ).

tcf(c_46412,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))),
    inference(superposition,[status(thm)],[c_26088,c_2405]) ).

tcf(c_46413,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xE),xE)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xE))),
    inference(superposition,[status(thm)],[c_25482,c_2405]) ).

tcf(c_46414,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xE))),
    inference(superposition,[status(thm)],[c_25491,c_2405]) ).

tcf(c_46415,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xE),xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xH))),
    inference(superposition,[status(thm)],[c_25768,c_2405]) ).

tcf(c_46416,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xP,xE),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xP,xE),xP))),
    inference(superposition,[status(thm)],[c_25771,c_2405]) ).

tcf(c_46417,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xP))),
    inference(superposition,[status(thm)],[c_25776,c_2405]) ).

tcf(c_46418,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),xH))),
    inference(superposition,[status(thm)],[c_26244,c_2405]) ).

tcf(c_46419,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_31512,c_2405]) ).

tcf(c_46420,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_31517,c_2405]) ).

tcf(c_46421,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_32945,c_2405]) ).

tcf(c_46422,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))),
    inference(superposition,[status(thm)],[c_33112,c_2405]) ).

tcf(c_46423,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_32950,c_2405]) ).

tcf(c_46424,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))),
    inference(superposition,[status(thm)],[c_33117,c_2405]) ).

tcf(c_46425,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_33784,c_2405]) ).

tcf(c_46426,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34090,c_2405]) ).

tcf(c_46427,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))),
    inference(superposition,[status(thm)],[c_34731,c_2405]) ).

tcf(c_46428,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_34910,c_2405]) ).

tcf(c_46429,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35134,c_2405]) ).

tcf(c_46430,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))),
    inference(superposition,[status(thm)],[c_35274,c_2405]) ).

tcf(c_46431,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))),
    inference(superposition,[status(thm)],[c_32821,c_2405]) ).

tcf(c_46432,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_33790,c_2405]) ).

tcf(c_46433,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34096,c_2405]) ).

tcf(c_46434,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))),
    inference(superposition,[status(thm)],[c_34737,c_2405]) ).

tcf(c_46435,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_34916,c_2405]) ).

tcf(c_46436,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35140,c_2405]) ).

tcf(c_46437,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))),
    inference(superposition,[status(thm)],[c_35280,c_2405]) ).

tcf(c_46438,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_36240,c_2405]) ).

tcf(c_46439,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_36606,c_2405]) ).

tcf(c_46440,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_36747,c_2405]) ).

tcf(c_46441,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_36956,c_2405]) ).

tcf(c_46442,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_37107,c_2405]) ).

tcf(c_46443,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_37268,c_2405]) ).

tcf(c_46444,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37485,c_2405]) ).

tcf(c_46445,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))),
    inference(superposition,[status(thm)],[c_37681,c_2405]) ).

tcf(c_46446,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_38631,c_2405]) ).

tcf(c_46447,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_38735,c_2405]) ).

tcf(c_46448,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_38848,c_2405]) ).

tcf(c_46449,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_39320,c_2405]) ).

tcf(c_46450,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39520,c_2405]) ).

tcf(c_46451,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))),
    inference(superposition,[status(thm)],[c_39955,c_2405]) ).

tcf(c_46452,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))),
    inference(superposition,[status(thm)],[c_40393,c_2405]) ).

tcf(c_46453,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))),
    inference(superposition,[status(thm)],[c_44737,c_2405]) ).

tcf(c_46454,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))),
    inference(superposition,[status(thm)],[c_45010,c_2405]) ).

tcf(c_46455,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))),
    inference(superposition,[status(thm)],[c_45148,c_2405]) ).

tcf(c_46456,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xE),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xE),xP))),
    inference(superposition,[status(thm)],[c_36243,c_2405]) ).

tcf(c_46457,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45390,c_2405]) ).

tcf(c_46458,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45735,c_2405]) ).

tcf(c_46459,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))),
    inference(superposition,[status(thm)],[c_45826,c_2405]) ).

tcf(c_46460,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37489,c_2405]) ).

tcf(c_46461,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))),
    inference(superposition,[status(thm)],[c_37684,c_2405]) ).

tcf(c_46462,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_38852,c_2405]) ).

tcf(c_46463,plain,
    sdtasdt0(sdtasdt0(xE,sdtasdt0(xE,xP)),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))),
    inference(superposition,[status(thm)],[c_45013,c_2405]) ).

tcf(c_47544,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_46274,c_2708]) ).

tcf(c_47547,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_46275,c_2707]) ).

tcf(c_47550,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_46276,c_2706]) ).

tcf(c_47551,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))),
    inference(superposition,[status(thm)],[c_6042,c_47544]) ).

tcf(c_47552,plain,
    sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_3831,c_47544]) ).

tcf(c_47563,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(sdtasdt0(xE,xP),xP),
    inference(superposition,[status(thm)],[c_47547,c_36520]) ).

tcf(c_47564,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)) = sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)),
    inference(superposition,[status(thm)],[c_47547,c_30950]) ).

tcf(c_47565,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_47547,c_17680]) ).

tcf(c_47566,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))),
    inference(superposition,[status(thm)],[c_47547,c_16942]) ).

tcf(c_47567,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_47547,c_16397]) ).

tcf(c_47568,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xP,sdtasdt0(xP,xE)),
    inference(superposition,[status(thm)],[c_47547,c_16438]) ).

tcf(c_47569,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)) = sdtasdt0(xP,sdtasdt0(xE,xP)),
    inference(superposition,[status(thm)],[c_47547,c_16395]) ).

tcf(c_47598,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))),
    inference(superposition,[status(thm)],[c_47550,c_16982]) ).

tcf(c_47599,plain,
    sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)) = sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))),
    inference(superposition,[status(thm)],[c_47550,c_16973]) ).

tcf(c_47604,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xE)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))),
    inference(superposition,[status(thm)],[c_1119,c_31597]) ).

tcf(c_47605,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))),
    inference(superposition,[status(thm)],[c_1113,c_31597]) ).

tcf(c_47607,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_31597]) ).

tcf(c_47608,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xE))))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_31597]) ).

tcf(c_47640,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9036,c_31597]) ).

tcf(c_47641,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9139,c_31597]) ).

tcf(c_47642,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_9223,c_31597]) ).

tcf(c_47643,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9418,c_31597]) ).

tcf(c_47644,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9568,c_31597]) ).

tcf(c_47645,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9652,c_31597]) ).

tcf(c_47646,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9818,c_31597]) ).

tcf(c_47650,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9959,c_31597]) ).

tcf(c_47651,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_10110,c_31597]) ).

tcf(c_47652,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_8711,c_31597]) ).

tcf(c_47653,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10589,c_31597]) ).

tcf(c_47654,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10653,c_31597]) ).

tcf(c_47655,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10813,c_31597]) ).

tcf(c_47656,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_11014,c_31597]) ).

tcf(c_47657,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_11892,c_31597]) ).

tcf(c_47658,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_12029,c_31597]) ).

tcf(c_47659,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_10591,c_31597]) ).

tcf(c_47660,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_10655,c_31597]) ).

tcf(c_47661,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12405,c_31597]) ).

tcf(c_47662,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12483,c_31597]) ).

tcf(c_47663,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12997,c_31597]) ).

tcf(c_47664,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_12157,c_31597]) ).

tcf(c_47665,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_13548,c_31597]) ).

tcf(c_47666,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_13721,c_31597]) ).

tcf(c_47667,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_12155,c_31597]) ).

tcf(c_47668,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14194,c_31597]) ).

tcf(c_47669,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14357,c_31597]) ).

tcf(c_47670,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14444,c_31597]) ).

tcf(c_47671,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14546,c_31597]) ).

tcf(c_47672,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_15137,c_31597]) ).

tcf(c_47673,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_15292,c_31597]) ).

tcf(c_47674,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14196,c_31597]) ).

tcf(c_47675,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14359,c_31597]) ).

tcf(c_47676,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14446,c_31597]) ).

tcf(c_47677,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_13550,c_31597]) ).

tcf(c_47678,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_13723,c_31597]) ).

tcf(c_47679,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_8713,c_31597]) ).

tcf(c_47680,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_13000,c_31597]) ).

tcf(c_47681,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_15990,c_31597]) ).

tcf(c_47682,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_9961,c_31597]) ).

tcf(c_47683,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_10112,c_31597]) ).

tcf(c_47684,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_16171,c_31597]) ).

tcf(c_47685,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10819,c_31597]) ).

tcf(c_47686,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16480,c_31597]) ).

tcf(c_47687,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16600,c_31597]) ).

tcf(c_47688,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16777,c_31597]) ).

tcf(c_47689,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_16992,c_31597]) ).

tcf(c_47690,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17085,c_31597]) ).

tcf(c_47691,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17267,c_31597]) ).

tcf(c_47692,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_12408,c_31597]) ).

tcf(c_47693,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_12486,c_31597]) ).

tcf(c_47694,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_15646,c_31597]) ).

tcf(c_47695,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17452,c_31597]) ).

tcf(c_47696,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17687,c_31597]) ).

tcf(c_47697,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17783,c_31597]) ).

tcf(c_47698,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17879,c_31597]) ).

tcf(c_47699,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10593,c_31597]) ).

tcf(c_47700,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10657,c_31597]) ).

tcf(c_47701,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_15807,c_31597]) ).

tcf(c_47702,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_18094,c_31597]) ).

tcf(c_47703,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18573,c_31597]) ).

tcf(c_47704,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18663,c_31597]) ).

tcf(c_47705,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18854,c_31597]) ).

tcf(c_47706,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_18992,c_31597]) ).

tcf(c_47707,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_19230,c_31597]) ).

tcf(c_47708,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_19368,c_31597]) ).

tcf(c_47709,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19540,c_31597]) ).

tcf(c_47710,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19670,c_31597]) ).

tcf(c_47711,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19967,c_31597]) ).

tcf(c_47712,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_20046,c_31597]) ).

tcf(c_47713,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_20472,c_31597]) ).

tcf(c_47714,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_20682,c_31597]) ).

tcf(c_47715,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_21252,c_31597]) ).

tcf(c_47716,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_21392,c_31597]) ).

tcf(c_47717,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_21593,c_31597]) ).

tcf(c_47718,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_21680,c_31597]) ).

tcf(c_47719,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_21965,c_31597]) ).

tcf(c_47720,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_22072,c_31597]) ).

tcf(c_47721,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22150,c_31597]) ).

tcf(c_47722,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_22236,c_31597]) ).

tcf(c_47723,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_22660,c_31597]) ).

tcf(c_47724,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22750,c_31597]) ).

tcf(c_47725,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22858,c_31597]) ).

tcf(c_47726,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_23011,c_31597]) ).

tcf(c_47727,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23448,c_31597]) ).

tcf(c_47728,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23580,c_31597]) ).

tcf(c_47729,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23907,c_31597]) ).

tcf(c_47730,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24001,c_31597]) ).

tcf(c_47731,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24102,c_31597]) ).

tcf(c_47732,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24190,c_31597]) ).

tcf(c_47733,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24398,c_31597]) ).

tcf(c_47734,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24481,c_31597]) ).

tcf(c_47735,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24618,c_31597]) ).

tcf(c_47736,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_21969,c_31597]) ).

tcf(c_47737,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_22241,c_31597]) ).

tcf(c_47738,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_22664,c_31597]) ).

tcf(c_47739,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_23016,c_31597]) ).

tcf(c_47740,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))))),
    inference(superposition,[status(thm)],[c_25337,c_31597]) ).

tcf(c_47741,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))))),
    inference(superposition,[status(thm)],[c_25976,c_31597]) ).

tcf(c_47742,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))))),
    inference(superposition,[status(thm)],[c_26088,c_31597]) ).

tcf(c_47749,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_31512,c_31597]) ).

tcf(c_47750,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_31517,c_31597]) ).

tcf(c_47751,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_32945,c_31597]) ).

tcf(c_47752,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_33112,c_31597]) ).

tcf(c_47753,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_32950,c_31597]) ).

tcf(c_47754,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_33117,c_31597]) ).

tcf(c_47755,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_33784,c_31597]) ).

tcf(c_47756,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_34090,c_31597]) ).

tcf(c_47757,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_34731,c_31597]) ).

tcf(c_47758,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_34910,c_31597]) ).

tcf(c_47759,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_35134,c_31597]) ).

tcf(c_47760,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_35274,c_31597]) ).

tcf(c_47761,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_32821,c_31597]) ).

tcf(c_47762,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_33790,c_31597]) ).

tcf(c_47763,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_34096,c_31597]) ).

tcf(c_47764,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_34737,c_31597]) ).

tcf(c_47765,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_34916,c_31597]) ).

tcf(c_47766,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_35140,c_31597]) ).

tcf(c_47767,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_35280,c_31597]) ).

tcf(c_47768,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_36240,c_31597]) ).

tcf(c_47769,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_36606,c_31597]) ).

tcf(c_47770,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_36747,c_31597]) ).

tcf(c_47771,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_36956,c_31597]) ).

tcf(c_47772,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_37107,c_31597]) ).

tcf(c_47773,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_37268,c_31597]) ).

tcf(c_47774,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_37485,c_31597]) ).

tcf(c_47775,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_37681,c_31597]) ).

tcf(c_47776,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_38631,c_31597]) ).

tcf(c_47777,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_38735,c_31597]) ).

tcf(c_47778,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_38848,c_31597]) ).

tcf(c_47779,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_39320,c_31597]) ).

tcf(c_47780,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_39520,c_31597]) ).

tcf(c_47781,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_39955,c_31597]) ).

tcf(c_47782,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_40393,c_31597]) ).

tcf(c_47783,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_44737,c_31597]) ).

tcf(c_47784,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_45010,c_31597]) ).

tcf(c_47785,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_45148,c_31597]) ).

tcf(c_47787,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45390,c_31597]) ).

tcf(c_47788,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45735,c_31597]) ).

tcf(c_47789,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45826,c_31597]) ).

tcf(c_47790,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_37489,c_31597]) ).

tcf(c_47791,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_37684,c_31597]) ).

tcf(c_47792,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_38852,c_31597]) ).

tcf(c_47793,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_45013,c_31597]) ).

tcf(c_48659,plain,
    ! [X0_iProver_sdtasdt0_2: iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2: iProver_sdtasdt0_2] :
      ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(X0_iProver_sdtasdt0_2,X1_iProver_sdtasdt0_2)))) )
      | ~ aScalar0(X1_iProver_sdtasdt0_2)
      | ~ aScalar0(X0_iProver_sdtasdt0_2) ),
    inference(superposition,[status(thm)],[c_1176,c_31598]) ).

tcf(c_48660,plain,
    ( ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xE))))) )
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(superposition,[status(thm)],[c_2533,c_31598]) ).

tcf(c_48692,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9036,c_31598]) ).

tcf(c_48693,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9139,c_31598]) ).

tcf(c_48694,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_9223,c_31598]) ).

tcf(c_48695,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9418,c_31598]) ).

tcf(c_48696,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9568,c_31598]) ).

tcf(c_48697,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9652,c_31598]) ).

tcf(c_48698,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_9818,c_31598]) ).

tcf(c_48702,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_9959,c_31598]) ).

tcf(c_48703,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_10110,c_31598]) ).

tcf(c_48704,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_8711,c_31598]) ).

tcf(c_48705,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10589,c_31598]) ).

tcf(c_48706,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10653,c_31598]) ).

tcf(c_48707,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_10813,c_31598]) ).

tcf(c_48708,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_11014,c_31598]) ).

tcf(c_48709,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_11892,c_31598]) ).

tcf(c_48710,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_12029,c_31598]) ).

tcf(c_48711,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_10591,c_31598]) ).

tcf(c_48712,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_10655,c_31598]) ).

tcf(c_48713,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12405,c_31598]) ).

tcf(c_48714,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12483,c_31598]) ).

tcf(c_48715,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xH)))))),
    inference(superposition,[status(thm)],[c_12997,c_31598]) ).

tcf(c_48716,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_12157,c_31598]) ).

tcf(c_48717,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_13548,c_31598]) ).

tcf(c_48718,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_13721,c_31598]) ).

tcf(c_48719,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xP)))))),
    inference(superposition,[status(thm)],[c_12155,c_31598]) ).

tcf(c_48720,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14194,c_31598]) ).

tcf(c_48721,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14357,c_31598]) ).

tcf(c_48722,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xP)))))),
    inference(superposition,[status(thm)],[c_14444,c_31598]) ).

tcf(c_48723,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14546,c_31598]) ).

tcf(c_48724,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_15137,c_31598]) ).

tcf(c_48725,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_15292,c_31598]) ).

tcf(c_48726,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14196,c_31598]) ).

tcf(c_48727,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14359,c_31598]) ).

tcf(c_48728,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_14446,c_31598]) ).

tcf(c_48729,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_13550,c_31598]) ).

tcf(c_48730,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xP)))))),
    inference(superposition,[status(thm)],[c_13723,c_31598]) ).

tcf(c_48731,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_8713,c_31598]) ).

tcf(c_48732,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_13000,c_31598]) ).

tcf(c_48733,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_15990,c_31598]) ).

tcf(c_48734,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_9961,c_31598]) ).

tcf(c_48735,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_10112,c_31598]) ).

tcf(c_48736,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_16171,c_31598]) ).

tcf(c_48737,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10819,c_31598]) ).

tcf(c_48738,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16480,c_31598]) ).

tcf(c_48739,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16600,c_31598]) ).

tcf(c_48740,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_16777,c_31598]) ).

tcf(c_48741,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_16992,c_31598]) ).

tcf(c_48742,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17085,c_31598]) ).

tcf(c_48743,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17267,c_31598]) ).

tcf(c_48744,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_12408,c_31598]) ).

tcf(c_48745,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_12486,c_31598]) ).

tcf(c_48746,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_15646,c_31598]) ).

tcf(c_48747,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xE)))))),
    inference(superposition,[status(thm)],[c_17452,c_31598]) ).

tcf(c_48748,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17687,c_31598]) ).

tcf(c_48749,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17783,c_31598]) ).

tcf(c_48750,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_17879,c_31598]) ).

tcf(c_48751,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10593,c_31598]) ).

tcf(c_48752,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_10657,c_31598]) ).

tcf(c_48753,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_15807,c_31598]) ).

tcf(c_48754,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xP,xH)))))),
    inference(superposition,[status(thm)],[c_18094,c_31598]) ).

tcf(c_48755,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18573,c_31598]) ).

tcf(c_48756,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18663,c_31598]) ).

tcf(c_48757,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_18854,c_31598]) ).

tcf(c_48758,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_18992,c_31598]) ).

tcf(c_48759,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_19230,c_31598]) ).

tcf(c_48760,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_19368,c_31598]) ).

tcf(c_48761,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19540,c_31598]) ).

tcf(c_48762,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19670,c_31598]) ).

tcf(c_48763,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xH,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_19967,c_31598]) ).

tcf(c_48764,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_20046,c_31598]) ).

tcf(c_48765,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_20472,c_31598]) ).

tcf(c_48766,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_20682,c_31598]) ).

tcf(c_48767,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_21252,c_31598]) ).

tcf(c_48768,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_21392,c_31598]) ).

tcf(c_48769,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_21593,c_31598]) ).

tcf(c_48770,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_21680,c_31598]) ).

tcf(c_48771,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_21965,c_31598]) ).

tcf(c_48772,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_22072,c_31598]) ).

tcf(c_48773,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22150,c_31598]) ).

tcf(c_48774,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_22236,c_31598]) ).

tcf(c_48775,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_22660,c_31598]) ).

tcf(c_48776,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22750,c_31598]) ).

tcf(c_48777,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_22858,c_31598]) ).

tcf(c_48778,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_23011,c_31598]) ).

tcf(c_48779,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23448,c_31598]) ).

tcf(c_48780,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23580,c_31598]) ).

tcf(c_48781,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_23907,c_31598]) ).

tcf(c_48782,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24001,c_31598]) ).

tcf(c_48783,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24102,c_31598]) ).

tcf(c_48784,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xE)))))),
    inference(superposition,[status(thm)],[c_24190,c_31598]) ).

tcf(c_48785,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24398,c_31598]) ).

tcf(c_48786,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24481,c_31598]) ).

tcf(c_48787,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,xH)))))),
    inference(superposition,[status(thm)],[c_24618,c_31598]) ).

tcf(c_48788,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_21969,c_31598]) ).

tcf(c_48789,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_22241,c_31598]) ).

tcf(c_48790,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xP),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_22664,c_31598]) ).

tcf(c_48791,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_23016,c_31598]) ).

tcf(c_48792,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xE))))),
    inference(superposition,[status(thm)],[c_25337,c_31598]) ).

tcf(c_48793,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xH))))),
    inference(superposition,[status(thm)],[c_25976,c_31598]) ).

tcf(c_48794,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xH),xP))))),
    inference(superposition,[status(thm)],[c_26088,c_31598]) ).

tcf(c_48801,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_31512,c_31598]) ).

tcf(c_48802,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_31517,c_31598]) ).

tcf(c_48803,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_32945,c_31598]) ).

tcf(c_48804,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xE))))),
    inference(superposition,[status(thm)],[c_33112,c_31598]) ).

tcf(c_48805,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_32950,c_31598]) ).

tcf(c_48806,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xE))))),
    inference(superposition,[status(thm)],[c_33117,c_31598]) ).

tcf(c_48807,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_33784,c_31598]) ).

tcf(c_48808,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_34090,c_31598]) ).

tcf(c_48809,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xP))))),
    inference(superposition,[status(thm)],[c_34731,c_31598]) ).

tcf(c_48810,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_34910,c_31598]) ).

tcf(c_48811,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_35134,c_31598]) ).

tcf(c_48812,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xP,xE),xH))))),
    inference(superposition,[status(thm)],[c_35274,c_31598]) ).

tcf(c_48813,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE))))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xE,xE)))))),
    inference(superposition,[status(thm)],[c_32821,c_31598]) ).

tcf(c_48814,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_33790,c_31598]) ).

tcf(c_48815,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_34096,c_31598]) ).

tcf(c_48816,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xP))))),
    inference(superposition,[status(thm)],[c_34737,c_31598]) ).

tcf(c_48817,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_34916,c_31598]) ).

tcf(c_48818,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_35140,c_31598]) ).

tcf(c_48819,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xP),xH))))),
    inference(superposition,[status(thm)],[c_35280,c_31598]) ).

tcf(c_48820,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_36240,c_31598]) ).

tcf(c_48821,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_36606,c_31598]) ).

tcf(c_48822,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_36747,c_31598]) ).

tcf(c_48823,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_36956,c_31598]) ).

tcf(c_48824,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_37107,c_31598]) ).

tcf(c_48825,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_37268,c_31598]) ).

tcf(c_48826,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_37485,c_31598]) ).

tcf(c_48827,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xE))))),
    inference(superposition,[status(thm)],[c_37681,c_31598]) ).

tcf(c_48828,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_38631,c_31598]) ).

tcf(c_48829,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_38735,c_31598]) ).

tcf(c_48830,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_38848,c_31598]) ).

tcf(c_48831,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_39320,c_31598]) ).

tcf(c_48832,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_39520,c_31598]) ).

tcf(c_48833,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xH,xH))))),
    inference(superposition,[status(thm)],[c_39955,c_31598]) ).

tcf(c_48834,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xP))))),
    inference(superposition,[status(thm)],[c_40393,c_31598]) ).

tcf(c_48835,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xP))))),
    inference(superposition,[status(thm)],[c_44737,c_31598]) ).

tcf(c_48836,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xE))))),
    inference(superposition,[status(thm)],[c_45010,c_31598]) ).

tcf(c_48837,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xP,xH))))),
    inference(superposition,[status(thm)],[c_45148,c_31598]) ).

tcf(c_48839,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45390,c_31598]) ).

tcf(c_48840,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xH,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45735,c_31598]) ).

tcf(c_48841,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(sdtasdt0(xE,xE),xP))))),
    inference(superposition,[status(thm)],[c_45826,c_31598]) ).

tcf(c_48842,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_37489,c_31598]) ).

tcf(c_48843,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xE,xP),sdtasdt0(xE,xH))))),
    inference(superposition,[status(thm)],[c_37684,c_31598]) ).

tcf(c_48844,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_38852,c_31598]) ).

tcf(c_48845,plain,
    sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP)))) = sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xP,sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xP))))),
    inference(superposition,[status(thm)],[c_45013,c_31598]) ).

tcf(c_49271,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_48845,c_48844,c_48843,c_48842,c_48841,c_48840,c_48839,c_48837,c_48836,c_48835,c_48834,c_48833,c_48832,c_48831,c_48830,c_48829,c_48828,c_48827,c_48826,c_48825,c_48824,c_48823,c_48822,c_48821,c_48820,c_48819,c_48818,c_48817,c_48816,c_48815,c_48814,c_48813,c_48812,c_48811,c_48810,c_48809,c_48808,c_48807,c_48806,c_48805,c_48804,c_48803,c_48802,c_48801,c_48794,c_48793,c_48792,c_48791,c_48790,c_48789,c_48788,c_48787,c_48786,c_48785,c_48784,c_48783,c_48782,c_48781,c_48780,c_48779,c_48778,c_48777,c_48776,c_48775,c_48774,c_48773,c_48772,c_48771,c_48770,c_48769,c_48768,c_48767,c_48766,c_48765,c_48764,c_48763,c_48762,c_48761,c_48760,c_48759,c_48758,c_48757,c_48756,c_48755,c_48754,c_48753,c_48752,c_48751,c_48750,c_48749,c_48748,c_48747,c_48746,c_48745,c_48744,c_48743,c_48742,c_48741,c_48740,c_48739,c_48738,c_48737,c_48736,c_48735,c_48734,c_48733,c_48732,c_48731,c_48730,c_48729,c_48728,c_48727,c_48726,c_48725,c_48724,c_48723,c_48722,c_48721,c_48720,c_48719,c_48718,c_48717,c_48716,c_48715,c_48714,c_48713,c_48712,c_48711,c_48710,c_48709,c_48708,c_48707,c_48706,c_48705,c_48704,c_48703,c_48702,c_48698,c_48697,c_48696,c_48695,c_48694,c_48693,c_48692,c_48660,c_48659,c_47793,c_47792,c_47791,c_47790,c_47789,c_47788,c_47787,c_47785,c_47784,c_47783,c_47782,c_47781,c_47780,c_47779,c_47778,c_47777,c_47776,c_47775,c_47774,c_47773,c_47772,c_47771,c_47770,c_47769,c_47768,c_47767,c_47766,c_47765,c_47764,c_47763,c_47762,c_47761,c_47760,c_47759,c_47758,c_47757,c_47756,c_47755,c_47754,c_47753,c_47752,c_47751,c_47750,c_47749,c_47742,c_47741,c_47740,c_47739,c_47738,c_47737,c_47736,c_47735,c_47734,c_47733,c_47732,c_47731,c_47730,c_47729,c_47728,c_47727,c_47726,c_47725,c_47724,c_47723,c_47722,c_47721,c_47720,c_47719,c_47718,c_47717,c_47716,c_47715,c_47714,c_47713,c_47712,c_47711,c_47710,c_47709,c_47708,c_47707,c_47706,c_47705,c_47704,c_47703,c_47702,c_47701,c_47700,c_47699,c_47698,c_47697,c_47696,c_47695,c_47694,c_47693,c_47692,c_47691,c_47690,c_47689,c_47688,c_47687,c_47686,c_47685,c_47684,c_47683,c_47682,c_47681,c_47680,c_47679,c_47678,c_47677,c_47676,c_47675,c_47674,c_47673,c_47672,c_47671,c_47670,c_47669,c_47668,c_47667,c_47666,c_47665,c_47664,c_47663,c_47662,c_47661,c_47660,c_47659,c_47658,c_47657,c_47656,c_47655,c_47654,c_47653,c_47652,c_47651,c_47650,c_47646,c_47645,c_47644,c_47643,c_47642,c_47641,c_47640,c_47608,c_47607,c_47605,c_47604,c_47599,c_47598,c_47569,c_47568,c_47567,c_47566,c_47565,c_47564,c_47563,c_47552,c_47551,c_47550,c_47547,c_47544,c_46463,c_46462,c_46461,c_46460,c_46459,c_46458,c_46457,c_46456,c_46455,c_46454,c_46453,c_46452,c_46451,c_46450,c_46449,c_46448,c_46447,c_46446,c_46445,c_46444,c_46443,c_46442,c_46441,c_46440,c_46439,c_46438,c_46437,c_46436,c_46435,c_46434,c_46433,c_46432,c_46431,c_46430,c_46429,c_46428,c_46427,c_46426,c_46425,c_46424,c_46423,c_46422,c_46421,c_46420,c_46419,c_46418,c_46417,c_46416,c_46415,c_46414,c_46413,c_46412,c_46411,c_46410,c_46409,c_46408,c_46407,c_46406,c_46405,c_46404,c_46403,c_46402,c_46401,c_46400,c_46399,c_46398,c_46397,c_46396,c_46395,c_46394,c_46393,c_46392,c_46391,c_46390,c_46389,c_46388,c_46387,c_46386,c_46385,c_46384,c_46383,c_46382,c_46381,c_46380,c_46379,c_46378,c_46377,c_46376,c_46375,c_46374,c_46373,c_46372,c_46371,c_46370,c_46369,c_46368,c_46367,c_46366,c_46365,c_46364,c_46363,c_46362,c_46361,c_46360,c_46359,c_46358,c_46357,c_46356,c_46355,c_46354,c_46353,c_46352,c_46351,c_46350,c_46349,c_46348,c_46347,c_46346,c_46345,c_46344,c_46343,c_46342,c_46341,c_46340,c_46339,c_46338,c_46337,c_46336,c_46335,c_46334,c_46333,c_46332,c_46331,c_46330,c_46329,c_46328,c_46327,c_46326,c_46325,c_46324,c_46323,c_46322,c_46321,c_46320,c_46319,c_46318,c_46317,c_46316,c_46315,c_46314,c_46313,c_46312,c_46311,c_46310,c_46309,c_46308,c_46307,c_46306,c_46305,c_46304,c_46303,c_46302,c_46301,c_46300,c_46299,c_46298,c_46297,c_46296,c_46295,c_46294,c_46293,c_46292,c_46291,c_46290,c_46289,c_46288,c_46287,c_46286,c_46285,c_46284,c_46283,c_46281,c_46279,c_46278,c_46277,c_46276,c_46275,c_46274,c_46184,c_46183,c_46182,c_46181,c_46180,c_46179,c_46178,c_46177,c_46176,c_46175,c_46174,c_46173,c_46172,c_46171,c_46170,c_46169,c_46168,c_46167,c_46166,c_46165,c_46164,c_46163,c_46162,c_46161,c_46160,c_46159,c_46158,c_46157,c_46156,c_46155,c_46154,c_46153,c_46152,c_46151,c_46150,c_46149,c_46148,c_46147,c_46146,c_46145,c_46144,c_46143,c_46142,c_46141,c_46140,c_45874,c_45873,c_45867,c_45866,c_45865,c_45864,c_45863,c_45862,c_45861,c_45860,c_45859,c_45858,c_45857,c_45856,c_45855,c_45854,c_45853,c_45852,c_45851,c_45850,c_45849,c_45848,c_45847,c_45846,c_45845,c_45844,c_45843,c_45842,c_45841,c_45840,c_45839,c_45838,c_45837,c_45836,c_45835,c_45834,c_45833,c_45832,c_45831,c_45830,c_45826,c_45783,c_45782,c_45781,c_45776,c_45775,c_45774,c_45773,c_45772,c_45771,c_45770,c_45769,c_45768,c_45767,c_45766,c_45765,c_45764,c_45763,c_45762,c_45761,c_45760,c_45759,c_45758,c_45757,c_45756,c_45755,c_45754,c_45753,c_45752,c_45751,c_45750,c_45749,c_45748,c_45747,c_45746,c_45745,c_45744,c_45743,c_45742,c_45741,c_45740,c_45739,c_45735,c_45438,c_45437,c_45436,c_45431,c_45430,c_45429,c_45428,c_45427,c_45426,c_45425,c_45424,c_45423,c_45422,c_45421,c_45420,c_45419,c_45418,c_45417,c_45416,c_45415,c_45414,c_45413,c_45412,c_45411,c_45410,c_45409,c_45408,c_45407,c_45406,c_45405,c_45404,c_45403,c_45402,c_45401,c_45400,c_45399,c_45398,c_45397,c_45396,c_45395,c_45394,c_45390,c_45196,c_45195,c_45194,c_45193,c_45192,c_45191,c_45190,c_45189,c_45188,c_45187,c_45186,c_45185,c_45184,c_45183,c_45182,c_45181,c_45180,c_45179,c_45178,c_45177,c_45176,c_45175,c_45174,c_45173,c_45172,c_45171,c_45170,c_45169,c_45168,c_45167,c_45166,c_45165,c_45164,c_45163,c_45162,c_45161,c_45160,c_45159,c_45158,c_45157,c_45156,c_45155,c_45154,c_45153,c_45152,c_45148,c_45058,c_45057,c_45056,c_45055,c_45054,c_45053,c_45052,c_45051,c_45050,c_45049,c_45048,c_45047,c_45046,c_45045,c_45044,c_45043,c_45042,c_45041,c_45040,c_45039,c_45038,c_45037,c_45036,c_45035,c_45034,c_45033,c_45032,c_45031,c_45030,c_45029,c_45028,c_45027,c_45026,c_45025,c_45024,c_45023,c_45022,c_45021,c_45020,c_45019,c_45018,c_45017,c_45016,c_45015,c_45014,c_45013,c_45010,c_44784,c_44783,c_44782,c_44781,c_44780,c_44779,c_44778,c_44777,c_44776,c_44775,c_44774,c_44773,c_44772,c_44771,c_44770,c_44769,c_44768,c_44767,c_44766,c_44765,c_44764,c_44763,c_44762,c_44761,c_44760,c_44759,c_44758,c_44757,c_44756,c_44755,c_44754,c_44753,c_44752,c_44751,c_44750,c_44749,c_44748,c_44747,c_44746,c_44745,c_44744,c_44743,c_44742,c_44741,c_44740,c_44737,c_40440,c_40439,c_40438,c_40437,c_40436,c_40435,c_40434,c_40433,c_40432,c_40431,c_40430,c_40429,c_40428,c_40427,c_40426,c_40425,c_40424,c_40423,c_40422,c_40421,c_40420,c_40419,c_40418,c_40417,c_40416,c_40415,c_40414,c_40413,c_40412,c_40411,c_40410,c_40409,c_40408,c_40407,c_40406,c_40405,c_40404,c_40403,c_40402,c_40401,c_40400,c_40399,c_40398,c_40397,c_40396,c_40393,c_40002,c_40001,c_40000,c_39999,c_39998,c_39997,c_39996,c_39995,c_39994,c_39993,c_39992,c_39991,c_39990,c_39989,c_39988,c_39987,c_39986,c_39985,c_39984,c_39983,c_39982,c_39981,c_39980,c_39979,c_39978,c_39977,c_39976,c_39975,c_39974,c_39973,c_39972,c_39971,c_39970,c_39969,c_39968,c_39967,c_39966,c_39965,c_39964,c_39963,c_39962,c_39961,c_39960,c_39959,c_39958,c_39955,c_39568,c_39567,c_39566,c_39565,c_39564,c_39563,c_39562,c_39561,c_39560,c_39559,c_39558,c_39557,c_39556,c_39555,c_39554,c_39553,c_39552,c_39551,c_39550,c_39549,c_39548,c_39547,c_39546,c_39545,c_39544,c_39543,c_39542,c_39541,c_39540,c_39539,c_39538,c_39537,c_39536,c_39535,c_39534,c_39533,c_39532,c_39531,c_39530,c_39529,c_39528,c_39527,c_39526,c_39525,c_39524,c_39520,c_39369,c_39368,c_39367,c_39366,c_39365,c_39364,c_39363,c_39362,c_39361,c_39360,c_39359,c_39358,c_39357,c_39356,c_39355,c_39354,c_39353,c_39352,c_39351,c_39350,c_39349,c_39348,c_39347,c_39346,c_39345,c_39344,c_39343,c_39342,c_39341,c_39340,c_39339,c_39338,c_39337,c_39336,c_39335,c_39334,c_39333,c_39332,c_39331,c_39330,c_39329,c_39328,c_39327,c_39326,c_39325,c_39320,c_39090,c_39089,c_39088,c_39087,c_39086,c_39085,c_39084,c_39083,c_39082,c_39081,c_39080,c_39079,c_39078,c_39077,c_39076,c_39075,c_39074,c_39073,c_39072,c_39071,c_39070,c_39069,c_39068,c_39067,c_39066,c_39065,c_39064,c_39063,c_39062,c_39061,c_39060,c_39059,c_39058,c_39057,c_39056,c_39055,c_39054,c_39053,c_39052,c_39051,c_39050,c_39049,c_39048,c_39047,c_39046,c_38897,c_38896,c_38895,c_38894,c_38893,c_38892,c_38891,c_38890,c_38889,c_38888,c_38887,c_38886,c_38885,c_38884,c_38883,c_38882,c_38881,c_38880,c_38879,c_38878,c_38877,c_38876,c_38875,c_38874,c_38873,c_38872,c_38871,c_38870,c_38869,c_38868,c_38867,c_38866,c_38865,c_38864,c_38863,c_38862,c_38861,c_38860,c_38859,c_38858,c_38857,c_38856,c_38855,c_38854,c_38853,c_38852,c_38848,c_38783,c_38782,c_38781,c_38780,c_38779,c_38778,c_38777,c_38776,c_38775,c_38774,c_38773,c_38772,c_38771,c_38770,c_38769,c_38768,c_38767,c_38766,c_38765,c_38764,c_38763,c_38762,c_38761,c_38760,c_38759,c_38758,c_38757,c_38756,c_38755,c_38754,c_38753,c_38752,c_38751,c_38750,c_38749,c_38748,c_38747,c_38746,c_38745,c_38744,c_38743,c_38742,c_38741,c_38740,c_38739,c_38735,c_38679,c_38678,c_38677,c_38676,c_38675,c_38674,c_38673,c_38672,c_38671,c_38670,c_38669,c_38668,c_38667,c_38666,c_38665,c_38664,c_38663,c_38662,c_38661,c_38660,c_38659,c_38658,c_38657,c_38656,c_38655,c_38654,c_38653,c_38652,c_38651,c_38650,c_38649,c_38648,c_38647,c_38646,c_38645,c_38644,c_38643,c_38642,c_38641,c_38640,c_38639,c_38638,c_38637,c_38636,c_38635,c_38631,c_38434,c_38433,c_38432,c_38431,c_38430,c_38429,c_38428,c_38427,c_38426,c_38425,c_38424,c_38423,c_38422,c_38421,c_38420,c_38419,c_38418,c_38417,c_38416,c_38415,c_38414,c_38413,c_38412,c_38411,c_38410,c_38409,c_38408,c_38407,c_38406,c_38405,c_38404,c_38403,c_38402,c_38401,c_38400,c_38399,c_38398,c_38397,c_38396,c_38395,c_38394,c_38393,c_38392,c_38391,c_38390,c_38026,c_38025,c_38024,c_38023,c_38022,c_38021,c_38020,c_38019,c_38018,c_38017,c_38016,c_38015,c_38014,c_38013,c_38012,c_38011,c_38010,c_38009,c_38008,c_38007,c_38006,c_38005,c_38004,c_38003,c_38002,c_38001,c_38000,c_37999,c_37998,c_37997,c_37996,c_37995,c_37994,c_37993,c_37992,c_37991,c_37990,c_37989,c_37988,c_37987,c_37986,c_37985,c_37984,c_37983,c_37982,c_37729,c_37728,c_37727,c_37726,c_37725,c_37724,c_37723,c_37722,c_37721,c_37720,c_37719,c_37718,c_37717,c_37716,c_37715,c_37714,c_37713,c_37712,c_37711,c_37710,c_37709,c_37708,c_37707,c_37706,c_37705,c_37704,c_37703,c_37702,c_37701,c_37700,c_37699,c_37698,c_37697,c_37696,c_37695,c_37694,c_37693,c_37692,c_37691,c_37690,c_37689,c_37688,c_37687,c_37686,c_37685,c_37684,c_37681,c_37534,c_37533,c_37532,c_37531,c_37530,c_37529,c_37528,c_37527,c_37526,c_37525,c_37524,c_37523,c_37522,c_37521,c_37520,c_37519,c_37518,c_37517,c_37516,c_37515,c_37514,c_37513,c_37512,c_37511,c_37510,c_37509,c_37508,c_37507,c_37506,c_37505,c_37504,c_37503,c_37502,c_37501,c_37500,c_37499,c_37498,c_37497,c_37496,c_37495,c_37494,c_37493,c_37492,c_37491,c_37490,c_37489,c_37485,c_37316,c_37315,c_37314,c_37313,c_37312,c_37311,c_37310,c_37309,c_37308,c_37307,c_37306,c_37305,c_37304,c_37303,c_37302,c_37301,c_37300,c_37299,c_37298,c_37297,c_37296,c_37295,c_37294,c_37293,c_37292,c_37291,c_37290,c_37289,c_37288,c_37287,c_37286,c_37285,c_37284,c_37283,c_37282,c_37281,c_37280,c_37279,c_37278,c_37277,c_37276,c_37275,c_37274,c_37273,c_37272,c_37268,c_37155,c_37154,c_37153,c_37152,c_37151,c_37150,c_37149,c_37148,c_37147,c_37146,c_37145,c_37144,c_37143,c_37142,c_37141,c_37140,c_37139,c_37138,c_37137,c_37136,c_37135,c_37134,c_37133,c_37132,c_37131,c_37130,c_37129,c_37128,c_37127,c_37126,c_37125,c_37124,c_37123,c_37122,c_37121,c_37120,c_37119,c_37118,c_37117,c_37116,c_37115,c_37114,c_37113,c_37112,c_37111,c_37107,c_37003,c_37002,c_37001,c_37000,c_36999,c_36998,c_36997,c_36996,c_36995,c_36994,c_36993,c_36992,c_36991,c_36990,c_36989,c_36988,c_36987,c_36986,c_36985,c_36984,c_36983,c_36982,c_36981,c_36980,c_36979,c_36978,c_36977,c_36976,c_36975,c_36974,c_36973,c_36972,c_36971,c_36970,c_36969,c_36968,c_36967,c_36966,c_36965,c_36964,c_36963,c_36962,c_36961,c_36960,c_36959,c_36956,c_36794,c_36793,c_36792,c_36791,c_36790,c_36789,c_36788,c_36787,c_36786,c_36785,c_36784,c_36783,c_36782,c_36781,c_36780,c_36779,c_36778,c_36777,c_36776,c_36775,c_36774,c_36773,c_36772,c_36771,c_36770,c_36769,c_36768,c_36767,c_36766,c_36765,c_36764,c_36763,c_36762,c_36761,c_36760,c_36759,c_36758,c_36757,c_36756,c_36755,c_36754,c_36753,c_36752,c_36751,c_36750,c_36747,c_36653,c_36652,c_36651,c_36650,c_36649,c_36648,c_36647,c_36646,c_36645,c_36644,c_36643,c_36642,c_36641,c_36640,c_36639,c_36638,c_36637,c_36636,c_36635,c_36634,c_36633,c_36632,c_36631,c_36630,c_36629,c_36628,c_36627,c_36626,c_36625,c_36624,c_36623,c_36622,c_36621,c_36620,c_36619,c_36618,c_36617,c_36616,c_36615,c_36614,c_36613,c_36612,c_36611,c_36610,c_36609,c_36606,c_36605,c_36602,c_36599,c_36534,c_36533,c_36532,c_36520,c_36401,c_36400,c_36399,c_36398,c_36397,c_36396,c_36395,c_36394,c_36393,c_36392,c_36391,c_36390,c_36389,c_36388,c_36387,c_36386,c_36385,c_36384,c_36383,c_36382,c_36381,c_36380,c_36379,c_36378,c_36377,c_36376,c_36375,c_36374,c_36373,c_36372,c_36371,c_36370,c_36369,c_36368,c_36367,c_36366,c_36365,c_36364,c_36363,c_36362,c_36361,c_36360,c_36359,c_36358,c_36357,c_36288,c_36287,c_36286,c_36285,c_36284,c_36283,c_36282,c_36281,c_36280,c_36279,c_36278,c_36277,c_36276,c_36275,c_36274,c_36273,c_36272,c_36271,c_36270,c_36269,c_36268,c_36267,c_36266,c_36265,c_36264,c_36263,c_36262,c_36261,c_36260,c_36259,c_36258,c_36257,c_36256,c_36255,c_36254,c_36253,c_36252,c_36251,c_36250,c_36249,c_36248,c_36247,c_36246,c_36245,c_36244,c_36243,c_36240,c_36224,c_36207,c_36196,c_36146,c_36113,c_36097,c_36046,c_36042,c_36040,c_36039,c_35985,c_35984,c_35978,c_35977,c_35976,c_35975,c_35974,c_35973,c_35972,c_35971,c_35970,c_35969,c_35968,c_35967,c_35966,c_35965,c_35964,c_35963,c_35962,c_35961,c_35960,c_35959,c_35958,c_35957,c_35956,c_35955,c_35954,c_35953,c_35952,c_35951,c_35950,c_35949,c_35948,c_35947,c_35946,c_35945,c_35944,c_35943,c_35942,c_35941,c_35872,c_35871,c_35870,c_35865,c_35864,c_35863,c_35862,c_35861,c_35860,c_35859,c_35858,c_35857,c_35856,c_35855,c_35854,c_35853,c_35852,c_35851,c_35850,c_35849,c_35848,c_35847,c_35846,c_35845,c_35844,c_35843,c_35842,c_35841,c_35840,c_35839,c_35838,c_35837,c_35836,c_35835,c_35834,c_35833,c_35832,c_35831,c_35830,c_35829,c_35828,c_35607,c_35606,c_35605,c_35600,c_35599,c_35598,c_35597,c_35596,c_35595,c_35594,c_35593,c_35592,c_35591,c_35590,c_35589,c_35588,c_35587,c_35586,c_35585,c_35584,c_35583,c_35582,c_35581,c_35580,c_35579,c_35578,c_35577,c_35576,c_35575,c_35574,c_35573,c_35572,c_35571,c_35570,c_35569,c_35568,c_35567,c_35566,c_35565,c_35564,c_35563,c_35436,c_35435,c_35429,c_35428,c_35427,c_35426,c_35425,c_35424,c_35423,c_35422,c_35421,c_35420,c_35419,c_35418,c_35417,c_35416,c_35415,c_35414,c_35413,c_35412,c_35411,c_35410,c_35409,c_35408,c_35407,c_35406,c_35405,c_35404,c_35403,c_35402,c_35401,c_35400,c_35399,c_35398,c_35397,c_35396,c_35395,c_35394,c_35393,c_35392,c_35325,c_35324,c_35318,c_35317,c_35316,c_35315,c_35314,c_35313,c_35312,c_35311,c_35310,c_35309,c_35308,c_35307,c_35306,c_35305,c_35304,c_35303,c_35302,c_35301,c_35300,c_35299,c_35298,c_35297,c_35296,c_35295,c_35294,c_35293,c_35292,c_35291,c_35290,c_35289,c_35288,c_35287,c_35286,c_35285,c_35284,c_35283,c_35282,c_35281,c_35280,c_35274,c_35185,c_35184,c_35183,c_35178,c_35177,c_35176,c_35175,c_35174,c_35173,c_35172,c_35171,c_35170,c_35169,c_35168,c_35167,c_35166,c_35165,c_35164,c_35163,c_35162,c_35161,c_35160,c_35159,c_35158,c_35157,c_35156,c_35155,c_35154,c_35153,c_35152,c_35151,c_35150,c_35149,c_35148,c_35147,c_35146,c_35145,c_35144,c_35143,c_35142,c_35141,c_35140,c_35134,c_34961,c_34960,c_34959,c_34954,c_34953,c_34952,c_34951,c_34950,c_34949,c_34948,c_34947,c_34946,c_34945,c_34944,c_34943,c_34942,c_34941,c_34940,c_34939,c_34938,c_34937,c_34936,c_34935,c_34934,c_34933,c_34932,c_34931,c_34930,c_34929,c_34928,c_34927,c_34926,c_34925,c_34924,c_34923,c_34922,c_34921,c_34920,c_34919,c_34918,c_34917,c_34916,c_34910,c_34782,c_34781,c_34775,c_34774,c_34773,c_34772,c_34771,c_34770,c_34769,c_34768,c_34767,c_34766,c_34765,c_34764,c_34763,c_34762,c_34761,c_34760,c_34759,c_34758,c_34757,c_34756,c_34755,c_34754,c_34753,c_34752,c_34751,c_34750,c_34749,c_34748,c_34747,c_34746,c_34745,c_34744,c_34743,c_34742,c_34741,c_34740,c_34739,c_34738,c_34737,c_34731,c_34729,c_34730,c_34726,c_34727,c_34723,c_34720,c_34717,c_34715,c_34712,c_34713,c_34708,c_34709,c_34705,c_34703,c_34527,c_34526,c_34525,c_34520,c_34519,c_34518,c_34517,c_34516,c_34515,c_34514,c_34513,c_34512,c_34511,c_34510,c_34509,c_34508,c_34507,c_34506,c_34505,c_34504,c_34503,c_34502,c_34501,c_34500,c_34499,c_34498,c_34497,c_34496,c_34495,c_34494,c_34493,c_34492,c_34491,c_34490,c_34489,c_34488,c_34487,c_34486,c_34485,c_34484,c_34483,c_34334,c_34333,c_34332,c_34327,c_34326,c_34325,c_34324,c_34323,c_34322,c_34321,c_34320,c_34319,c_34318,c_34317,c_34316,c_34315,c_34314,c_34313,c_34312,c_34311,c_34310,c_34309,c_34308,c_34307,c_34306,c_34305,c_34304,c_34303,c_34302,c_34301,c_34300,c_34299,c_34298,c_34297,c_34296,c_34295,c_34294,c_34293,c_34292,c_34291,c_34290,c_34141,c_34140,c_34139,c_34134,c_34133,c_34132,c_34131,c_34130,c_34129,c_34128,c_34127,c_34126,c_34125,c_34124,c_34123,c_34122,c_34121,c_34120,c_34119,c_34118,c_34117,c_34116,c_34115,c_34114,c_34113,c_34112,c_34111,c_34110,c_34109,c_34108,c_34107,c_34106,c_34105,c_34104,c_34103,c_34102,c_34101,c_34100,c_34099,c_34098,c_34097,c_34096,c_34090,c_33835,c_33834,c_33833,c_33828,c_33827,c_33826,c_33825,c_33824,c_33823,c_33822,c_33821,c_33820,c_33819,c_33818,c_33817,c_33816,c_33815,c_33814,c_33813,c_33812,c_33811,c_33810,c_33809,c_33808,c_33807,c_33806,c_33805,c_33804,c_33803,c_33802,c_33801,c_33800,c_33799,c_33798,c_33797,c_33796,c_33795,c_33794,c_33793,c_33792,c_33791,c_33790,c_33784,c_33779,c_33778,c_33771,c_33770,c_33768,c_33763,c_33752,c_33747,c_33743,c_33733,c_33626,c_33625,c_33619,c_33618,c_33617,c_33616,c_33615,c_33614,c_33613,c_33612,c_33611,c_33610,c_33609,c_33608,c_33607,c_33606,c_33605,c_33604,c_33603,c_33602,c_33601,c_33600,c_33599,c_33598,c_33597,c_33596,c_33595,c_33594,c_33593,c_33592,c_33591,c_33590,c_33589,c_33588,c_33587,c_33586,c_33585,c_33584,c_33583,c_33582,c_33439,c_33438,c_33437,c_33432,c_33431,c_33430,c_33429,c_33428,c_33427,c_33426,c_33425,c_33424,c_33423,c_33422,c_33421,c_33420,c_33419,c_33418,c_33417,c_33416,c_33415,c_33414,c_33413,c_33412,c_33411,c_33410,c_33409,c_33408,c_33407,c_33406,c_33405,c_33404,c_33403,c_33402,c_33401,c_33400,c_33399,c_33398,c_33397,c_33396,c_33395,c_33162,c_33161,c_33155,c_33154,c_33153,c_33152,c_33151,c_33150,c_33149,c_33148,c_33147,c_33146,c_33145,c_33144,c_33143,c_33142,c_33141,c_33140,c_33139,c_33138,c_33137,c_33136,c_33135,c_33134,c_33133,c_33132,c_33131,c_33130,c_33129,c_33128,c_33127,c_33126,c_33125,c_33124,c_33123,c_33122,c_33121,c_33120,c_33119,c_33118,c_33117,c_33112,c_32995,c_32994,c_32993,c_32988,c_32987,c_32986,c_32985,c_32984,c_32983,c_32982,c_32981,c_32980,c_32979,c_32978,c_32977,c_32976,c_32975,c_32974,c_32973,c_32972,c_32971,c_32970,c_32969,c_32968,c_32967,c_32966,c_32965,c_32964,c_32963,c_32962,c_32961,c_32960,c_32959,c_32958,c_32957,c_32956,c_32955,c_32954,c_32953,c_32952,c_32951,c_32950,c_32945,c_32867,c_32866,c_32865,c_32864,c_32863,c_32862,c_32861,c_32860,c_32859,c_32858,c_32857,c_32856,c_32855,c_32854,c_32853,c_32852,c_32851,c_32850,c_32849,c_32848,c_32847,c_32846,c_32845,c_32844,c_32843,c_32842,c_32841,c_32840,c_32839,c_32838,c_32837,c_32836,c_32835,c_32834,c_32833,c_32832,c_32831,c_32830,c_32829,c_32828,c_32827,c_32826,c_32825,c_32824,c_32823,c_32821,c_32820,c_32807,c_32801,c_32795,c_32789,c_32783,c_32777,c_32771,c_32767,c_32759,c_32742,c_32572,c_32571,c_32570,c_32565,c_32564,c_32563,c_32562,c_32561,c_32560,c_32559,c_32558,c_32557,c_32556,c_32555,c_32554,c_32553,c_32552,c_32551,c_32550,c_32549,c_32548,c_32547,c_32546,c_32545,c_32544,c_32543,c_32542,c_32541,c_32540,c_32539,c_32538,c_32537,c_32536,c_32535,c_32534,c_32533,c_32532,c_32531,c_32530,c_32529,c_32528,c_32353,c_32352,c_32351,c_32350,c_32349,c_32348,c_32347,c_32346,c_32345,c_32344,c_32343,c_32342,c_32341,c_32340,c_32339,c_32338,c_32337,c_32336,c_32335,c_32334,c_32333,c_32332,c_32331,c_32330,c_32329,c_32328,c_32327,c_32326,c_32325,c_32324,c_32323,c_32322,c_32321,c_32320,c_32319,c_32318,c_32317,c_32316,c_32315,c_32314,c_32313,c_32312,c_32311,c_32310,c_32309,c_32308,c_32307,c_32306,c_32305,c_32304,c_32303,c_32302,c_32301,c_32300,c_32299,c_32298,c_32297,c_32296,c_32295,c_32294,c_32293,c_32292,c_32291,c_32290,c_32289,c_32288,c_32287,c_32286,c_32285,c_32284,c_32283,c_32282,c_32281,c_32280,c_32279,c_32278,c_32277,c_32276,c_32275,c_32274,c_32273,c_32272,c_32271,c_32270,c_32269,c_32268,c_32267,c_32266,c_32265,c_32264,c_32263,c_32262,c_32261,c_32260,c_32259,c_32258,c_32257,c_32256,c_32255,c_32254,c_32250,c_32249,c_32248,c_32247,c_32246,c_32245,c_32244,c_32212,c_32211,c_32208,c_31741,c_31740,c_31739,c_31738,c_31737,c_31736,c_31735,c_31734,c_31733,c_31732,c_31731,c_31730,c_31729,c_31728,c_31727,c_31726,c_31725,c_31724,c_31723,c_31722,c_31721,c_31720,c_31719,c_31718,c_31717,c_31716,c_31715,c_31714,c_31713,c_31712,c_31711,c_31710,c_31709,c_31708,c_31707,c_31706,c_31705,c_31704,c_31703,c_31702,c_31701,c_31700,c_31699,c_31698,c_31697,c_31696,c_31695,c_31694,c_31693,c_31692,c_31691,c_31690,c_31689,c_31688,c_31687,c_31686,c_31685,c_31684,c_31683,c_31682,c_31681,c_31680,c_31679,c_31678,c_31677,c_31676,c_31675,c_31674,c_31673,c_31672,c_31671,c_31670,c_31669,c_31668,c_31667,c_31666,c_31665,c_31664,c_31663,c_31662,c_31661,c_31660,c_31659,c_31658,c_31657,c_31656,c_31655,c_31654,c_31653,c_31652,c_31651,c_31650,c_31649,c_31648,c_31647,c_31646,c_31645,c_31644,c_31643,c_31642,c_31641,c_31640,c_31639,c_31638,c_31637,c_31636,c_31635,c_31634,c_31633,c_31632,c_31631,c_31630,c_31629,c_31628,c_31627,c_31626,c_31625,c_31624,c_31623,c_31622,c_31621,c_31620,c_31619,c_31618,c_31617,c_31616,c_31615,c_31614,c_31613,c_31612,c_31611,c_31610,c_31609,c_31608,c_31607,c_31606,c_31605,c_31603,c_31601,c_31600,c_31599,c_31598,c_31597,c_31596,c_31560,c_31559,c_31558,c_31553,c_31552,c_31551,c_31550,c_31549,c_31548,c_31547,c_31546,c_31545,c_31544,c_31543,c_31542,c_31541,c_31540,c_31539,c_31538,c_31537,c_31536,c_31535,c_31534,c_31533,c_31532,c_31531,c_31530,c_31529,c_31528,c_31527,c_31526,c_31525,c_31524,c_31523,c_31522,c_31521,c_31520,c_31519,c_31518,c_31517,c_31512,c_31124,c_31123,c_31122,c_31121,c_31120,c_31119,c_31118,c_31117,c_31116,c_31115,c_31114,c_31113,c_31112,c_31111,c_31110,c_31109,c_31108,c_31107,c_31106,c_31105,c_31104,c_31103,c_31102,c_31101,c_31100,c_31099,c_31098,c_31097,c_31096,c_31095,c_31094,c_31093,c_31092,c_31091,c_31090,c_31089,c_31088,c_31087,c_31086,c_31085,c_31084,c_31083,c_31082,c_31081,c_31080,c_31079,c_31078,c_31077,c_31076,c_31075,c_31074,c_31073,c_31072,c_31071,c_31070,c_31069,c_31068,c_31067,c_31066,c_31065,c_31064,c_31063,c_31062,c_31061,c_31060,c_31059,c_31058,c_31057,c_31056,c_31055,c_31054,c_31053,c_31052,c_31051,c_31050,c_31049,c_31048,c_31047,c_31046,c_31045,c_31044,c_31043,c_31042,c_31041,c_31040,c_31039,c_31038,c_31037,c_31036,c_31035,c_31034,c_31033,c_31032,c_31031,c_31030,c_31029,c_31028,c_31027,c_31026,c_31022,c_31021,c_31020,c_31019,c_31018,c_31017,c_31016,c_30984,c_30983,c_30979,c_30946,c_30953,c_30952,c_30951,c_30950,c_30949,c_30929,c_30932,c_30923,c_30922,c_30637,c_30636,c_30635,c_30634,c_30633,c_30632,c_30631,c_30630,c_30629,c_30628,c_30627,c_30626,c_30625,c_30624,c_30623,c_30622,c_30621,c_30620,c_30619,c_30618,c_30617,c_30616,c_30615,c_30614,c_30613,c_30612,c_30611,c_30610,c_30609,c_30608,c_30607,c_30606,c_30605,c_30604,c_30603,c_30602,c_30601,c_30600,c_30599,c_30598,c_30597,c_30596,c_30595,c_30594,c_30593,c_30592,c_30591,c_30590,c_30589,c_30588,c_30587,c_30586,c_30585,c_30584,c_30583,c_30582,c_30581,c_30580,c_30579,c_30578,c_30577,c_30576,c_30575,c_30574,c_30573,c_30572,c_30571,c_30570,c_30569,c_30568,c_30567,c_30566,c_30565,c_30564,c_30563,c_30562,c_30561,c_30560,c_30559,c_30558,c_30557,c_30556,c_30555,c_30554,c_30553,c_30552,c_30551,c_30550,c_30549,c_30548,c_30547,c_30546,c_30545,c_30544,c_30543,c_30542,c_30541,c_30540,c_30539,c_30538,c_30537,c_30536,c_30535,c_30534,c_30533,c_30532,c_30531,c_30530,c_30529,c_30528,c_30527,c_30526,c_30525,c_30524,c_30523,c_30522,c_30521,c_30520,c_30519,c_30518,c_30517,c_30516,c_30515,c_30514,c_30513,c_30512,c_30511,c_30510,c_30509,c_30508,c_30507,c_30506,c_30505,c_30504,c_30503,c_30502,c_30500,c_30498,c_30497,c_30496,c_29833,c_29832,c_29831,c_29830,c_29829,c_29828,c_29827,c_29826,c_29825,c_29824,c_29823,c_29822,c_29821,c_29820,c_29819,c_29818,c_29817,c_29816,c_29815,c_29814,c_29813,c_29812,c_29811,c_29810,c_29809,c_29808,c_29807,c_29806,c_29805,c_29804,c_29803,c_29802,c_29801,c_29800,c_29799,c_29798,c_29797,c_29796,c_29795,c_29794,c_29793,c_29792,c_29791,c_29790,c_29789,c_29788,c_29787,c_29786,c_29785,c_29784,c_29783,c_29782,c_29781,c_29780,c_29779,c_29778,c_29777,c_29776,c_29775,c_29774,c_29773,c_29772,c_29771,c_29770,c_29769,c_29768,c_29767,c_29766,c_29765,c_29764,c_29763,c_29762,c_29761,c_29760,c_29759,c_29758,c_29757,c_29756,c_29755,c_29754,c_29753,c_29752,c_29751,c_29750,c_29749,c_29748,c_29747,c_29746,c_29745,c_29744,c_29743,c_29742,c_29741,c_29740,c_29739,c_29738,c_29737,c_29736,c_29735,c_29734,c_29733,c_29732,c_29731,c_29730,c_29729,c_29728,c_29727,c_29726,c_29725,c_29724,c_29723,c_29722,c_29721,c_29720,c_29719,c_29718,c_29717,c_29716,c_29715,c_29714,c_29713,c_29712,c_29711,c_29710,c_29709,c_29708,c_29707,c_29706,c_29705,c_29704,c_29703,c_29702,c_29701,c_29700,c_29699,c_29698,c_29696,c_29694,c_29693,c_29692,c_28747,c_28746,c_28745,c_28744,c_28743,c_28742,c_28741,c_28740,c_28739,c_28738,c_28737,c_28736,c_28735,c_28734,c_28733,c_28732,c_28731,c_28730,c_28729,c_28728,c_28727,c_28726,c_28725,c_28724,c_28723,c_28722,c_28721,c_28720,c_28719,c_28718,c_28717,c_28716,c_28715,c_28714,c_28713,c_28712,c_28711,c_28710,c_28709,c_28708,c_28707,c_28706,c_28705,c_28704,c_28703,c_28702,c_28701,c_28700,c_28699,c_28698,c_28697,c_28696,c_28695,c_28694,c_28693,c_28692,c_28691,c_28690,c_28689,c_28688,c_28687,c_28686,c_28685,c_28684,c_28683,c_28682,c_28681,c_28680,c_28679,c_28678,c_28677,c_28676,c_28675,c_28674,c_28673,c_28672,c_28671,c_28670,c_28669,c_28668,c_28667,c_28666,c_28665,c_28664,c_28663,c_28662,c_28661,c_28660,c_28659,c_28658,c_28657,c_28656,c_28655,c_28654,c_28653,c_28652,c_28651,c_28650,c_28649,c_28645,c_28644,c_28643,c_28642,c_28641,c_28640,c_28639,c_28607,c_28606,c_28604,c_28603,c_28243,c_28242,c_28241,c_28240,c_28239,c_28238,c_28237,c_28236,c_28235,c_28234,c_28233,c_28232,c_28231,c_28230,c_28229,c_28228,c_28227,c_28226,c_28225,c_28224,c_28223,c_28222,c_28221,c_28220,c_28219,c_28218,c_28217,c_28216,c_28215,c_28214,c_28213,c_28212,c_28211,c_28210,c_28209,c_28208,c_28207,c_28206,c_28205,c_28204,c_28203,c_28202,c_28201,c_28200,c_28199,c_28198,c_28197,c_28196,c_28195,c_28194,c_28193,c_28192,c_28191,c_28190,c_28189,c_28188,c_28187,c_28186,c_28185,c_28184,c_28183,c_28182,c_28181,c_28180,c_28179,c_28178,c_28177,c_28176,c_28175,c_28174,c_28173,c_28172,c_28171,c_28170,c_28169,c_28168,c_28167,c_28166,c_28165,c_28164,c_28163,c_28162,c_28161,c_28160,c_28159,c_28158,c_28157,c_28156,c_28155,c_28154,c_28153,c_28152,c_28151,c_28150,c_28149,c_28148,c_28147,c_28146,c_28145,c_28144,c_28143,c_28142,c_28141,c_28140,c_28139,c_28138,c_28137,c_28136,c_28135,c_28134,c_28133,c_28132,c_28131,c_28130,c_28129,c_28128,c_28127,c_28126,c_28125,c_28124,c_28123,c_28122,c_28121,c_28120,c_28119,c_28118,c_28117,c_28116,c_28115,c_28114,c_28113,c_28112,c_28111,c_28110,c_28109,c_28108,c_28106,c_28104,c_28103,c_28102,c_27605,c_27604,c_27603,c_27602,c_27601,c_27600,c_27599,c_27598,c_27597,c_27596,c_27595,c_27594,c_27593,c_27592,c_27591,c_27590,c_27589,c_27588,c_27587,c_27586,c_27585,c_27584,c_27583,c_27582,c_27581,c_27580,c_27579,c_27578,c_27577,c_27576,c_27575,c_27574,c_27573,c_27572,c_27571,c_27570,c_27569,c_27568,c_27567,c_27566,c_27565,c_27564,c_27563,c_27562,c_27561,c_27560,c_27559,c_27558,c_27557,c_27556,c_27555,c_27554,c_27553,c_27552,c_27551,c_27550,c_27549,c_27548,c_27547,c_27546,c_27545,c_27544,c_27543,c_27542,c_27541,c_27540,c_27539,c_27538,c_27537,c_27536,c_27535,c_27534,c_27533,c_27532,c_27531,c_27530,c_27529,c_27528,c_27527,c_27526,c_27525,c_27524,c_27523,c_27522,c_27521,c_27520,c_27519,c_27518,c_27517,c_27516,c_27515,c_27514,c_27513,c_27512,c_27511,c_27510,c_27509,c_27508,c_27507,c_27503,c_27502,c_27501,c_27500,c_27499,c_27498,c_27497,c_27465,c_27464,c_27461,c_26900,c_26899,c_26898,c_26897,c_26896,c_26895,c_26894,c_26893,c_26892,c_26891,c_26890,c_26889,c_26888,c_26887,c_26886,c_26885,c_26884,c_26883,c_26882,c_26881,c_26880,c_26879,c_26878,c_26877,c_26876,c_26875,c_26874,c_26873,c_26872,c_26871,c_26870,c_26869,c_26868,c_26867,c_26866,c_26865,c_26864,c_26863,c_26862,c_26861,c_26860,c_26859,c_26858,c_26857,c_26856,c_26855,c_26854,c_26853,c_26852,c_26851,c_26850,c_26849,c_26848,c_26847,c_26846,c_26845,c_26844,c_26843,c_26842,c_26841,c_26840,c_26839,c_26838,c_26837,c_26836,c_26835,c_26834,c_26833,c_26832,c_26831,c_26830,c_26829,c_26828,c_26827,c_26826,c_26825,c_26824,c_26823,c_26822,c_26821,c_26820,c_26819,c_26818,c_26817,c_26816,c_26815,c_26814,c_26813,c_26812,c_26811,c_26810,c_26809,c_26808,c_26807,c_26806,c_26805,c_26804,c_26803,c_26802,c_26801,c_26800,c_26799,c_26798,c_26797,c_26796,c_26795,c_26794,c_26793,c_26792,c_26791,c_26790,c_26789,c_26788,c_26787,c_26786,c_26785,c_26784,c_26783,c_26782,c_26781,c_26780,c_26779,c_26778,c_26777,c_26776,c_26775,c_26774,c_26773,c_26772,c_26771,c_26770,c_26769,c_26768,c_26767,c_26766,c_26765,c_26763,c_26761,c_26760,c_26759,c_26758,c_26757,c_26756,c_26745,c_26742,c_26741,c_26740,c_26721,c_26693,c_26669,c_26622,c_26507,c_26506,c_26505,c_26504,c_26503,c_26502,c_26501,c_26500,c_26499,c_26498,c_26497,c_26496,c_26495,c_26494,c_26493,c_26492,c_26491,c_26490,c_26489,c_26488,c_26487,c_26486,c_26485,c_26484,c_26483,c_26482,c_26481,c_26480,c_26479,c_26478,c_26477,c_26476,c_26475,c_26474,c_26473,c_26472,c_26460,c_26459,c_26458,c_26457,c_26456,c_26455,c_26454,c_26453,c_26452,c_26451,c_26450,c_26449,c_26448,c_26447,c_26446,c_26445,c_26444,c_26443,c_26442,c_26441,c_26440,c_26439,c_26438,c_26437,c_26436,c_26435,c_26434,c_26433,c_26432,c_26431,c_26430,c_26429,c_26428,c_26427,c_26426,c_26425,c_26280,c_26279,c_26278,c_26277,c_26276,c_26275,c_26274,c_26273,c_26272,c_26271,c_26270,c_26269,c_26268,c_26267,c_26266,c_26265,c_26264,c_26263,c_26262,c_26261,c_26260,c_26259,c_26258,c_26257,c_26256,c_26255,c_26254,c_26253,c_26252,c_26251,c_26250,c_26249,c_26248,c_26247,c_26246,c_26245,c_26244,c_26130,c_26129,c_26128,c_26127,c_26126,c_26125,c_26124,c_26123,c_26122,c_26121,c_26120,c_26119,c_26118,c_26117,c_26116,c_26115,c_26114,c_26113,c_26112,c_26111,c_26110,c_26109,c_26108,c_26107,c_26106,c_26105,c_26104,c_26103,c_26102,c_26101,c_26100,c_26099,c_26098,c_26097,c_26096,c_26095,c_26088,c_26017,c_26016,c_26015,c_26014,c_26013,c_26012,c_26011,c_26010,c_26009,c_26008,c_26007,c_26006,c_26005,c_26004,c_26003,c_26002,c_26001,c_26000,c_25999,c_25998,c_25997,c_25996,c_25995,c_25994,c_25993,c_25992,c_25991,c_25990,c_25989,c_25988,c_25987,c_25986,c_25985,c_25984,c_25983,c_25982,c_25976,c_25812,c_25811,c_25810,c_25809,c_25808,c_25807,c_25806,c_25805,c_25804,c_25803,c_25802,c_25801,c_25800,c_25799,c_25798,c_25797,c_25796,c_25795,c_25794,c_25793,c_25792,c_25791,c_25790,c_25789,c_25788,c_25787,c_25786,c_25785,c_25784,c_25783,c_25782,c_25781,c_25780,c_25779,c_25778,c_25777,c_25776,c_25771,c_25768,c_25764,c_25753,c_25723,c_25722,c_25721,c_25720,c_25719,c_25706,c_25705,c_25704,c_25703,c_25634,c_25633,c_25632,c_25631,c_25630,c_25629,c_25628,c_25627,c_25626,c_25625,c_25624,c_25623,c_25622,c_25621,c_25620,c_25619,c_25618,c_25617,c_25616,c_25615,c_25614,c_25613,c_25612,c_25611,c_25610,c_25609,c_25608,c_25607,c_25606,c_25605,c_25604,c_25603,c_25602,c_25601,c_25600,c_25599,c_25527,c_25526,c_25525,c_25524,c_25523,c_25522,c_25521,c_25520,c_25519,c_25518,c_25517,c_25516,c_25515,c_25514,c_25513,c_25512,c_25511,c_25510,c_25509,c_25508,c_25507,c_25506,c_25505,c_25504,c_25503,c_25502,c_25501,c_25500,c_25499,c_25498,c_25497,c_25496,c_25495,c_25494,c_25493,c_25492,c_25491,c_25482,c_25479,c_25478,c_25477,c_25378,c_25377,c_25376,c_25375,c_25374,c_25373,c_25372,c_25371,c_25370,c_25369,c_25368,c_25367,c_25366,c_25365,c_25364,c_25363,c_25362,c_25361,c_25360,c_25359,c_25358,c_25357,c_25356,c_25355,c_25354,c_25353,c_25352,c_25351,c_25350,c_25349,c_25348,c_25347,c_25346,c_25345,c_25344,c_25343,c_25337,c_25333,c_25331,c_25334,c_25315,c_25313,c_25316,c_25308,c_25306,c_25309,c_24854,c_24853,c_24852,c_24851,c_24850,c_24849,c_24848,c_24847,c_24846,c_24845,c_24844,c_24843,c_24842,c_24841,c_24840,c_24839,c_24838,c_24837,c_24836,c_24835,c_24834,c_24833,c_24832,c_24831,c_24830,c_24829,c_24828,c_24827,c_24826,c_24825,c_24824,c_24823,c_24822,c_24821,c_24820,c_24819,c_24818,c_24817,c_24816,c_24815,c_24814,c_24813,c_24812,c_24811,c_24810,c_24809,c_24808,c_24807,c_24806,c_24805,c_24804,c_24803,c_24802,c_24801,c_24800,c_24799,c_24798,c_24797,c_24796,c_24795,c_24794,c_24793,c_24792,c_24791,c_24790,c_24789,c_24788,c_24787,c_24786,c_24785,c_24784,c_24783,c_24782,c_24781,c_24780,c_24779,c_24778,c_24777,c_24776,c_24775,c_24774,c_24773,c_24772,c_24771,c_24770,c_24769,c_24768,c_24767,c_24766,c_24765,c_24764,c_24763,c_24762,c_24761,c_24760,c_24759,c_24758,c_24757,c_24756,c_24755,c_24754,c_24753,c_24752,c_24751,c_24750,c_24749,c_24748,c_24747,c_24746,c_24745,c_24744,c_24743,c_24742,c_24741,c_24740,c_24739,c_24738,c_24737,c_24736,c_24735,c_24734,c_24733,c_24732,c_24731,c_24730,c_24729,c_24728,c_24726,c_24724,c_24723,c_24722,c_24721,c_24720,c_24719,c_24656,c_24655,c_24654,c_24653,c_24649,c_24648,c_24647,c_24646,c_24645,c_24644,c_24643,c_24642,c_24641,c_24640,c_24639,c_24638,c_24637,c_24636,c_24635,c_24634,c_24633,c_24632,c_24631,c_24630,c_24629,c_24628,c_24627,c_24626,c_24625,c_24624,c_24623,c_24622,c_24618,c_24519,c_24518,c_24517,c_24516,c_24512,c_24511,c_24510,c_24509,c_24508,c_24507,c_24506,c_24505,c_24504,c_24503,c_24502,c_24501,c_24500,c_24499,c_24498,c_24497,c_24496,c_24495,c_24494,c_24493,c_24492,c_24491,c_24490,c_24489,c_24488,c_24487,c_24486,c_24485,c_24481,c_24436,c_24435,c_24434,c_24433,c_24429,c_24428,c_24427,c_24426,c_24425,c_24424,c_24423,c_24422,c_24421,c_24420,c_24419,c_24418,c_24417,c_24416,c_24415,c_24414,c_24413,c_24412,c_24411,c_24410,c_24409,c_24408,c_24407,c_24406,c_24405,c_24404,c_24403,c_24402,c_24398,c_24231,c_24230,c_24229,c_24228,c_24224,c_24223,c_24222,c_24221,c_24220,c_24219,c_24218,c_24217,c_24216,c_24215,c_24214,c_24213,c_24212,c_24211,c_24210,c_24209,c_24208,c_24207,c_24206,c_24205,c_24204,c_24203,c_24202,c_24201,c_24200,c_24199,c_24198,c_24197,c_24190,c_24143,c_24142,c_24141,c_24140,c_24136,c_24135,c_24134,c_24133,c_24132,c_24131,c_24130,c_24129,c_24128,c_24127,c_24126,c_24125,c_24124,c_24123,c_24122,c_24121,c_24120,c_24119,c_24118,c_24117,c_24116,c_24115,c_24114,c_24113,c_24112,c_24111,c_24110,c_24109,c_24102,c_24042,c_24041,c_24040,c_24039,c_24035,c_24034,c_24033,c_24032,c_24031,c_24030,c_24029,c_24028,c_24027,c_24026,c_24025,c_24024,c_24023,c_24022,c_24021,c_24020,c_24019,c_24018,c_24017,c_24016,c_24015,c_24014,c_24013,c_24012,c_24011,c_24010,c_24009,c_24008,c_24001,c_23945,c_23944,c_23943,c_23942,c_23938,c_23937,c_23936,c_23935,c_23934,c_23933,c_23932,c_23931,c_23930,c_23929,c_23928,c_23927,c_23926,c_23925,c_23924,c_23923,c_23922,c_23921,c_23920,c_23919,c_23918,c_23917,c_23916,c_23915,c_23914,c_23913,c_23912,c_23911,c_23907,c_23618,c_23617,c_23616,c_23615,c_23611,c_23610,c_23609,c_23608,c_23607,c_23606,c_23605,c_23604,c_23603,c_23602,c_23601,c_23600,c_23599,c_23598,c_23597,c_23596,c_23595,c_23594,c_23593,c_23592,c_23591,c_23590,c_23589,c_23588,c_23587,c_23586,c_23585,c_23584,c_23580,c_23486,c_23485,c_23484,c_23483,c_23479,c_23478,c_23477,c_23476,c_23475,c_23474,c_23473,c_23472,c_23471,c_23470,c_23469,c_23468,c_23467,c_23466,c_23465,c_23464,c_23463,c_23462,c_23461,c_23460,c_23459,c_23458,c_23457,c_23456,c_23455,c_23454,c_23453,c_23452,c_23448,c_23275,c_23274,c_23273,c_23272,c_23271,c_23270,c_23269,c_23268,c_23267,c_23266,c_23265,c_23264,c_23263,c_23262,c_23261,c_23260,c_23259,c_23258,c_23257,c_23256,c_23255,c_23254,c_23253,c_23252,c_23251,c_23250,c_23249,c_23248,c_23247,c_23246,c_23245,c_23244,c_23243,c_23242,c_23241,c_23133,c_23132,c_23131,c_23130,c_23129,c_23128,c_23127,c_23126,c_23125,c_23124,c_23123,c_23122,c_23121,c_23120,c_23119,c_23118,c_23117,c_23116,c_23115,c_23114,c_23113,c_23112,c_23111,c_23110,c_23109,c_23108,c_23107,c_23106,c_23105,c_23104,c_23103,c_23102,c_23101,c_23100,c_23099,c_23051,c_23050,c_23049,c_23048,c_23047,c_23046,c_23045,c_23044,c_23043,c_23042,c_23041,c_23040,c_23039,c_23038,c_23037,c_23036,c_23035,c_23034,c_23033,c_23032,c_23031,c_23030,c_23029,c_23028,c_23027,c_23026,c_23025,c_23024,c_23023,c_23022,c_23021,c_23020,c_23019,c_23018,c_23017,c_23016,c_23011,c_22897,c_22896,c_22895,c_22894,c_22893,c_22892,c_22891,c_22890,c_22889,c_22888,c_22887,c_22886,c_22885,c_22884,c_22883,c_22882,c_22881,c_22880,c_22879,c_22878,c_22877,c_22876,c_22875,c_22874,c_22873,c_22872,c_22871,c_22870,c_22869,c_22868,c_22867,c_22866,c_22865,c_22864,c_22863,c_22858,c_22789,c_22788,c_22787,c_22786,c_22785,c_22784,c_22783,c_22782,c_22781,c_22780,c_22779,c_22778,c_22777,c_22776,c_22775,c_22774,c_22773,c_22772,c_22771,c_22770,c_22769,c_22768,c_22767,c_22766,c_22765,c_22764,c_22763,c_22762,c_22761,c_22760,c_22759,c_22758,c_22757,c_22756,c_22755,c_22750,c_22699,c_22698,c_22697,c_22696,c_22695,c_22694,c_22693,c_22692,c_22691,c_22690,c_22689,c_22688,c_22687,c_22686,c_22685,c_22684,c_22683,c_22682,c_22681,c_22680,c_22679,c_22678,c_22677,c_22676,c_22675,c_22674,c_22673,c_22672,c_22671,c_22670,c_22669,c_22668,c_22667,c_22666,c_22665,c_22664,c_22660,c_22658,c_22656,c_22654,c_22594,c_22554,c_22549,c_22495,c_22494,c_22493,c_22492,c_22491,c_22490,c_22489,c_22488,c_22487,c_22486,c_22485,c_22484,c_22483,c_22482,c_22481,c_22480,c_22479,c_22478,c_22477,c_22476,c_22475,c_22474,c_22473,c_22472,c_22471,c_22470,c_22469,c_22468,c_22467,c_22466,c_22465,c_22464,c_22463,c_22462,c_22461,c_22366,c_22365,c_22364,c_22363,c_22362,c_22361,c_22360,c_22359,c_22358,c_22357,c_22356,c_22355,c_22354,c_22353,c_22352,c_22351,c_22350,c_22349,c_22348,c_22347,c_22346,c_22345,c_22344,c_22343,c_22342,c_22341,c_22340,c_22339,c_22338,c_22337,c_22336,c_22335,c_22334,c_22333,c_22332,c_22276,c_22275,c_22274,c_22273,c_22272,c_22271,c_22270,c_22269,c_22268,c_22267,c_22266,c_22265,c_22264,c_22263,c_22262,c_22261,c_22260,c_22259,c_22258,c_22257,c_22256,c_22255,c_22254,c_22253,c_22252,c_22251,c_22250,c_22249,c_22248,c_22247,c_22246,c_22245,c_22244,c_22243,c_22242,c_22241,c_22236,c_22189,c_22188,c_22187,c_22186,c_22185,c_22184,c_22183,c_22182,c_22181,c_22180,c_22179,c_22178,c_22177,c_22176,c_22175,c_22174,c_22173,c_22172,c_22171,c_22170,c_22169,c_22168,c_22167,c_22166,c_22165,c_22164,c_22163,c_22162,c_22161,c_22160,c_22159,c_22158,c_22157,c_22156,c_22155,c_22150,c_22112,c_22111,c_22110,c_22109,c_22108,c_22107,c_22106,c_22105,c_22104,c_22103,c_22102,c_22101,c_22100,c_22099,c_22098,c_22097,c_22096,c_22095,c_22094,c_22093,c_22092,c_22091,c_22090,c_22089,c_22088,c_22087,c_22086,c_22085,c_22084,c_22083,c_22082,c_22081,c_22080,c_22079,c_22078,c_22072,c_22004,c_22003,c_22002,c_22001,c_22000,c_21999,c_21998,c_21997,c_21996,c_21995,c_21994,c_21993,c_21992,c_21991,c_21990,c_21989,c_21988,c_21987,c_21986,c_21985,c_21984,c_21983,c_21982,c_21981,c_21980,c_21979,c_21978,c_21977,c_21976,c_21975,c_21974,c_21973,c_21972,c_21971,c_21970,c_21969,c_21965,c_21962,c_21933,c_21932,c_21897,c_21895,c_21894,c_21876,c_21865,c_21719,c_21718,c_21717,c_21716,c_21715,c_21714,c_21713,c_21712,c_21711,c_21710,c_21709,c_21708,c_21707,c_21706,c_21705,c_21704,c_21703,c_21702,c_21701,c_21700,c_21699,c_21698,c_21697,c_21696,c_21695,c_21694,c_21693,c_21692,c_21691,c_21690,c_21689,c_21688,c_21687,c_21686,c_21685,c_21680,c_21633,c_21632,c_21631,c_21630,c_21629,c_21628,c_21627,c_21626,c_21625,c_21624,c_21623,c_21622,c_21621,c_21620,c_21619,c_21618,c_21617,c_21616,c_21615,c_21614,c_21613,c_21612,c_21611,c_21610,c_21609,c_21608,c_21607,c_21606,c_21605,c_21604,c_21603,c_21602,c_21601,c_21600,c_21599,c_21593,c_21433,c_21432,c_21431,c_21430,c_21429,c_21428,c_21427,c_21426,c_21425,c_21424,c_21423,c_21422,c_21421,c_21420,c_21419,c_21418,c_21417,c_21416,c_21415,c_21414,c_21413,c_21412,c_21411,c_21410,c_21409,c_21408,c_21407,c_21406,c_21405,c_21404,c_21403,c_21402,c_21401,c_21400,c_21399,c_21392,c_21293,c_21292,c_21291,c_21290,c_21289,c_21288,c_21287,c_21286,c_21285,c_21284,c_21283,c_21282,c_21281,c_21280,c_21279,c_21278,c_21277,c_21276,c_21275,c_21274,c_21273,c_21272,c_21271,c_21270,c_21269,c_21268,c_21267,c_21266,c_21265,c_21264,c_21263,c_21262,c_21261,c_21260,c_21259,c_21252,c_21192,c_21191,c_21180,c_21179,c_21160,c_21159,c_21156,c_21155,c_21143,c_21111,c_21093,c_21092,c_21090,c_20722,c_20721,c_20720,c_20719,c_20718,c_20717,c_20716,c_20715,c_20714,c_20713,c_20712,c_20711,c_20710,c_20709,c_20708,c_20707,c_20706,c_20705,c_20704,c_20703,c_20702,c_20701,c_20700,c_20699,c_20698,c_20697,c_20696,c_20695,c_20694,c_20693,c_20692,c_20691,c_20690,c_20689,c_20688,c_20682,c_20513,c_20512,c_20511,c_20510,c_20509,c_20508,c_20507,c_20506,c_20505,c_20504,c_20503,c_20502,c_20501,c_20500,c_20499,c_20498,c_20497,c_20496,c_20495,c_20494,c_20493,c_20492,c_20491,c_20490,c_20489,c_20488,c_20487,c_20486,c_20485,c_20484,c_20483,c_20482,c_20481,c_20480,c_20479,c_20472,c_20087,c_20086,c_20085,c_20084,c_20083,c_20082,c_20081,c_20080,c_20079,c_20078,c_20077,c_20076,c_20075,c_20074,c_20073,c_20072,c_20071,c_20070,c_20069,c_20068,c_20067,c_20066,c_20065,c_20064,c_20063,c_20062,c_20061,c_20060,c_20059,c_20058,c_20057,c_20056,c_20055,c_20054,c_20053,c_20046,c_20003,c_20002,c_20001,c_20000,c_19996,c_19995,c_19994,c_19993,c_19992,c_19991,c_19990,c_19989,c_19988,c_19987,c_19986,c_19985,c_19984,c_19983,c_19982,c_19981,c_19980,c_19979,c_19978,c_19977,c_19976,c_19975,c_19974,c_19973,c_19972,c_19971,c_19970,c_19969,c_19967,c_19964,c_19947,c_19937,c_19858,c_19706,c_19705,c_19704,c_19703,c_19699,c_19698,c_19697,c_19696,c_19695,c_19694,c_19693,c_19692,c_19691,c_19690,c_19689,c_19688,c_19687,c_19686,c_19685,c_19684,c_19683,c_19682,c_19681,c_19680,c_19679,c_19678,c_19677,c_19676,c_19675,c_19674,c_19673,c_19672,c_19670,c_19576,c_19575,c_19574,c_19573,c_19569,c_19568,c_19567,c_19566,c_19565,c_19564,c_19563,c_19562,c_19561,c_19560,c_19559,c_19558,c_19557,c_19556,c_19555,c_19554,c_19553,c_19552,c_19551,c_19550,c_19549,c_19548,c_19547,c_19546,c_19545,c_19544,c_19543,c_19542,c_19540,c_19407,c_19406,c_19405,c_19404,c_19400,c_19399,c_19398,c_19397,c_19396,c_19395,c_19394,c_19393,c_19392,c_19391,c_19390,c_19389,c_19388,c_19387,c_19386,c_19385,c_19384,c_19383,c_19382,c_19381,c_19380,c_19379,c_19378,c_19377,c_19376,c_19375,c_19374,c_19373,c_19368,c_19269,c_19268,c_19267,c_19266,c_19262,c_19261,c_19260,c_19259,c_19258,c_19257,c_19256,c_19255,c_19254,c_19253,c_19252,c_19251,c_19250,c_19249,c_19248,c_19247,c_19246,c_19245,c_19244,c_19243,c_19242,c_19241,c_19240,c_19239,c_19238,c_19237,c_19236,c_19235,c_19230,c_19213,c_19169,c_19168,c_19167,c_19166,c_19148,c_19147,c_19146,c_19145,c_19031,c_19030,c_19029,c_19028,c_19024,c_19023,c_19022,c_19021,c_19020,c_19019,c_19018,c_19017,c_19016,c_19015,c_19014,c_19013,c_19012,c_19011,c_19010,c_19009,c_19008,c_19007,c_19006,c_19005,c_19004,c_19003,c_19002,c_19001,c_19000,c_18999,c_18998,c_18997,c_18992,c_18893,c_18892,c_18891,c_18890,c_18886,c_18885,c_18884,c_18883,c_18882,c_18881,c_18880,c_18879,c_18878,c_18877,c_18876,c_18875,c_18874,c_18873,c_18872,c_18871,c_18870,c_18869,c_18868,c_18867,c_18866,c_18865,c_18864,c_18863,c_18862,c_18861,c_18860,c_18859,c_18854,c_18847,c_18846,c_18835,c_18823,c_18803,c_18792,c_18791,c_18789,c_18780,c_18766,c_18770,c_18702,c_18701,c_18700,c_18699,c_18695,c_18694,c_18693,c_18692,c_18691,c_18690,c_18689,c_18688,c_18687,c_18686,c_18685,c_18684,c_18683,c_18682,c_18681,c_18680,c_18679,c_18678,c_18677,c_18676,c_18675,c_18674,c_18673,c_18672,c_18671,c_18670,c_18669,c_18668,c_18663,c_18612,c_18611,c_18610,c_18609,c_18605,c_18604,c_18603,c_18602,c_18601,c_18600,c_18599,c_18598,c_18597,c_18596,c_18595,c_18594,c_18593,c_18592,c_18591,c_18590,c_18589,c_18588,c_18587,c_18586,c_18585,c_18584,c_18583,c_18582,c_18581,c_18580,c_18579,c_18578,c_18573,c_18558,c_18548,c_18547,c_18550,c_18457,c_18456,c_18447,c_18389,c_18388,c_18350,c_18353,c_18352,c_18345,c_18312,c_18300,c_18289,c_18278,c_18234,c_18236,c_18224,c_18223,c_18209,c_18201,c_18200,c_18199,c_18132,c_18131,c_18130,c_18129,c_18125,c_18124,c_18123,c_18122,c_18121,c_18120,c_18119,c_18118,c_18117,c_18116,c_18115,c_18114,c_18113,c_18112,c_18111,c_18110,c_18109,c_18108,c_18107,c_18106,c_18105,c_18104,c_18103,c_18102,c_18101,c_18100,c_18099,c_18098,c_18094,c_18069,c_18068,c_18067,c_18066,c_18036,c_18035,c_18018,c_18017,c_18016,c_18015,c_17997,c_17986,c_17985,c_17969,c_17968,c_17918,c_17917,c_17916,c_17915,c_17911,c_17910,c_17909,c_17908,c_17907,c_17906,c_17905,c_17904,c_17903,c_17902,c_17901,c_17900,c_17899,c_17898,c_17897,c_17896,c_17895,c_17894,c_17893,c_17892,c_17891,c_17890,c_17889,c_17888,c_17887,c_17886,c_17885,c_17884,c_17879,c_17822,c_17821,c_17820,c_17819,c_17815,c_17814,c_17813,c_17812,c_17811,c_17810,c_17809,c_17808,c_17807,c_17806,c_17805,c_17804,c_17803,c_17802,c_17801,c_17800,c_17799,c_17798,c_17797,c_17796,c_17795,c_17794,c_17793,c_17792,c_17791,c_17790,c_17789,c_17788,c_17783,c_17726,c_17725,c_17724,c_17723,c_17719,c_17718,c_17717,c_17716,c_17715,c_17714,c_17713,c_17712,c_17711,c_17710,c_17709,c_17708,c_17707,c_17706,c_17705,c_17704,c_17703,c_17702,c_17701,c_17700,c_17699,c_17698,c_17697,c_17696,c_17695,c_17694,c_17693,c_17692,c_17687,c_17680,c_17664,c_17648,c_17644,c_17643,c_17628,c_17624,c_17623,c_17619,c_17618,c_17491,c_17490,c_17489,c_17488,c_17484,c_17483,c_17482,c_17481,c_17480,c_17479,c_17478,c_17477,c_17476,c_17475,c_17474,c_17473,c_17472,c_17471,c_17470,c_17469,c_17468,c_17467,c_17466,c_17465,c_17464,c_17463,c_17462,c_17461,c_17460,c_17459,c_17458,c_17457,c_17452,c_17445,c_17444,c_17438,c_17440,c_17435,c_17434,c_17415,c_17412,c_17408,c_17405,c_17404,c_17399,c_17398,c_17394,c_17393,c_17375,c_17374,c_17369,c_17365,c_17306,c_17305,c_17304,c_17303,c_17299,c_17298,c_17297,c_17296,c_17295,c_17294,c_17293,c_17292,c_17291,c_17290,c_17289,c_17288,c_17287,c_17286,c_17285,c_17284,c_17283,c_17282,c_17281,c_17280,c_17279,c_17278,c_17277,c_17276,c_17275,c_17274,c_17273,c_17272,c_17267,c_17124,c_17123,c_17122,c_17121,c_17117,c_17116,c_17115,c_17114,c_17113,c_17112,c_17111,c_17110,c_17109,c_17108,c_17107,c_17106,c_17105,c_17104,c_17103,c_17102,c_17101,c_17100,c_17099,c_17098,c_17097,c_17096,c_17095,c_17094,c_17093,c_17092,c_17091,c_17090,c_17085,c_17031,c_17030,c_17029,c_17028,c_17024,c_17023,c_17022,c_17021,c_17020,c_17019,c_17018,c_17017,c_17016,c_17015,c_17014,c_17013,c_17012,c_17011,c_17010,c_17009,c_17008,c_17007,c_17006,c_17005,c_17004,c_17003,c_17002,c_17001,c_17000,c_16999,c_16998,c_16997,c_16992,c_16989,c_16991,c_16987,c_16986,c_16982,c_16973,c_16970,c_16969,c_16963,c_16962,c_16952,c_16949,c_16948,c_16943,c_16942,c_16928,c_16874,c_16877,c_16816,c_16815,c_16814,c_16813,c_16809,c_16808,c_16807,c_16806,c_16805,c_16804,c_16803,c_16802,c_16801,c_16800,c_16799,c_16798,c_16797,c_16796,c_16795,c_16794,c_16793,c_16792,c_16791,c_16790,c_16789,c_16788,c_16787,c_16786,c_16785,c_16784,c_16783,c_16782,c_16777,c_16639,c_16638,c_16637,c_16636,c_16632,c_16631,c_16630,c_16629,c_16628,c_16627,c_16626,c_16625,c_16624,c_16623,c_16622,c_16621,c_16620,c_16619,c_16618,c_16617,c_16616,c_16615,c_16614,c_16613,c_16612,c_16611,c_16610,c_16609,c_16608,c_16607,c_16606,c_16605,c_16600,c_16519,c_16518,c_16517,c_16516,c_16512,c_16511,c_16510,c_16509,c_16508,c_16507,c_16506,c_16505,c_16504,c_16503,c_16502,c_16501,c_16500,c_16499,c_16498,c_16497,c_16496,c_16495,c_16494,c_16493,c_16492,c_16491,c_16490,c_16489,c_16488,c_16487,c_16486,c_16485,c_16480,c_16438,c_16436,c_16434,c_16437,c_16428,c_16430,c_16421,c_16423,c_16395,c_16397,c_16384,c_16367,c_16368,c_16363,c_16364,c_16210,c_16209,c_16208,c_16207,c_16203,c_16202,c_16201,c_16200,c_16199,c_16198,c_16197,c_16196,c_16195,c_16194,c_16193,c_16192,c_16191,c_16190,c_16189,c_16188,c_16187,c_16186,c_16185,c_16184,c_16183,c_16182,c_16181,c_16180,c_16179,c_16178,c_16177,c_16176,c_16171,c_16028,c_16027,c_16026,c_16025,c_16021,c_16020,c_16019,c_16018,c_16017,c_16016,c_16015,c_16014,c_16013,c_16012,c_16011,c_16010,c_16009,c_16008,c_16007,c_16006,c_16005,c_16004,c_16003,c_16002,c_16001,c_16000,c_15999,c_15998,c_15997,c_15996,c_15995,c_15994,c_15990,c_15988,c_15985,c_15978,c_15974,c_15971,c_15954,c_15951,c_15945,c_15939,c_15845,c_15844,c_15843,c_15842,c_15838,c_15837,c_15836,c_15835,c_15834,c_15833,c_15832,c_15831,c_15830,c_15829,c_15828,c_15827,c_15826,c_15825,c_15824,c_15823,c_15822,c_15821,c_15820,c_15819,c_15818,c_15817,c_15816,c_15815,c_15814,c_15813,c_15812,c_15811,c_15807,c_15806,c_15789,c_15792,c_15786,c_15780,c_15782,c_15776,c_15778,c_15771,c_15774,c_15761,c_15758,c_15755,c_15750,c_15684,c_15683,c_15682,c_15681,c_15677,c_15676,c_15675,c_15674,c_15673,c_15672,c_15671,c_15670,c_15669,c_15668,c_15667,c_15666,c_15665,c_15664,c_15663,c_15662,c_15661,c_15660,c_15659,c_15658,c_15657,c_15656,c_15655,c_15654,c_15653,c_15652,c_15651,c_15650,c_15646,c_15645,c_15637,c_15575,c_15577,c_15571,c_15573,c_15566,c_15569,c_15514,c_15512,c_15503,c_15500,c_15496,c_15493,c_15491,c_15328,c_15327,c_15326,c_15325,c_15321,c_15320,c_15319,c_15318,c_15317,c_15316,c_15315,c_15314,c_15313,c_15312,c_15311,c_15310,c_15309,c_15308,c_15307,c_15306,c_15305,c_15304,c_15303,c_15302,c_15301,c_15300,c_15299,c_15298,c_15297,c_15296,c_15295,c_15294,c_15292,c_15173,c_15172,c_15171,c_15170,c_15166,c_15165,c_15164,c_15163,c_15162,c_15161,c_15160,c_15159,c_15158,c_15157,c_15156,c_15155,c_15154,c_15153,c_15152,c_15151,c_15150,c_15149,c_15148,c_15147,c_15146,c_15145,c_15144,c_15143,c_15142,c_15141,c_15140,c_15139,c_15137,c_15136,c_15135,c_15133,c_15132,c_15130,c_15108,c_15107,c_15106,c_15103,c_14953,c_14952,c_14951,c_14950,c_14946,c_14945,c_14944,c_14943,c_14942,c_14941,c_14940,c_14939,c_14938,c_14937,c_14936,c_14935,c_14934,c_14933,c_14932,c_14931,c_14930,c_14929,c_14928,c_14927,c_14926,c_14925,c_14924,c_14923,c_14922,c_14921,c_14920,c_14919,c_14821,c_14820,c_14819,c_14818,c_14814,c_14813,c_14812,c_14811,c_14810,c_14809,c_14808,c_14807,c_14806,c_14805,c_14804,c_14803,c_14802,c_14801,c_14800,c_14799,c_14798,c_14797,c_14796,c_14795,c_14794,c_14793,c_14792,c_14791,c_14790,c_14789,c_14788,c_14787,c_14692,c_14691,c_14690,c_14689,c_14685,c_14684,c_14683,c_14682,c_14681,c_14680,c_14679,c_14678,c_14677,c_14676,c_14675,c_14674,c_14673,c_14672,c_14671,c_14670,c_14669,c_14668,c_14667,c_14666,c_14665,c_14664,c_14663,c_14662,c_14661,c_14660,c_14659,c_14658,c_14582,c_14581,c_14580,c_14579,c_14575,c_14574,c_14573,c_14572,c_14571,c_14570,c_14569,c_14568,c_14567,c_14566,c_14565,c_14564,c_14563,c_14562,c_14561,c_14560,c_14559,c_14558,c_14557,c_14556,c_14555,c_14554,c_14553,c_14552,c_14551,c_14550,c_14549,c_14548,c_14546,c_14481,c_14480,c_14479,c_14478,c_14474,c_14473,c_14472,c_14471,c_14470,c_14469,c_14468,c_14467,c_14466,c_14465,c_14464,c_14463,c_14462,c_14461,c_14460,c_14459,c_14458,c_14457,c_14456,c_14455,c_14454,c_14453,c_14452,c_14451,c_14450,c_14449,c_14448,c_14447,c_14446,c_14444,c_14394,c_14393,c_14392,c_14391,c_14387,c_14386,c_14385,c_14384,c_14383,c_14382,c_14381,c_14380,c_14379,c_14378,c_14377,c_14376,c_14375,c_14374,c_14373,c_14372,c_14371,c_14370,c_14369,c_14368,c_14367,c_14366,c_14365,c_14364,c_14363,c_14362,c_14361,c_14360,c_14359,c_14357,c_14231,c_14230,c_14229,c_14228,c_14224,c_14223,c_14222,c_14221,c_14220,c_14219,c_14218,c_14217,c_14216,c_14215,c_14214,c_14213,c_14212,c_14211,c_14210,c_14209,c_14208,c_14207,c_14206,c_14205,c_14204,c_14203,c_14202,c_14201,c_14200,c_14199,c_14198,c_14197,c_14196,c_14194,c_14193,c_14191,c_14188,c_14189,c_14185,c_14184,c_14168,c_14167,c_14163,c_14159,c_14155,c_14056,c_14055,c_14054,c_14053,c_14049,c_14048,c_14047,c_14046,c_14045,c_14044,c_14043,c_14042,c_14041,c_14040,c_14039,c_14038,c_14037,c_14036,c_14035,c_14034,c_14033,c_14032,c_14031,c_14030,c_14029,c_14028,c_14027,c_14026,c_14025,c_14024,c_14023,c_14022,c_13957,c_13956,c_13955,c_13954,c_13950,c_13949,c_13948,c_13947,c_13946,c_13945,c_13944,c_13943,c_13942,c_13941,c_13940,c_13939,c_13938,c_13937,c_13936,c_13935,c_13934,c_13933,c_13932,c_13931,c_13930,c_13929,c_13928,c_13927,c_13926,c_13925,c_13924,c_13923,c_13758,c_13757,c_13756,c_13755,c_13751,c_13750,c_13749,c_13748,c_13747,c_13746,c_13745,c_13744,c_13743,c_13742,c_13741,c_13740,c_13739,c_13738,c_13737,c_13736,c_13735,c_13734,c_13733,c_13732,c_13731,c_13730,c_13729,c_13728,c_13727,c_13726,c_13725,c_13724,c_13723,c_13721,c_13585,c_13584,c_13583,c_13582,c_13578,c_13577,c_13576,c_13575,c_13574,c_13573,c_13572,c_13571,c_13570,c_13569,c_13568,c_13567,c_13566,c_13565,c_13564,c_13563,c_13562,c_13561,c_13560,c_13559,c_13558,c_13557,c_13556,c_13555,c_13554,c_13553,c_13552,c_13551,c_13550,c_13548,c_13543,c_13538,c_13534,c_13530,c_13524,c_13450,c_13449,c_13448,c_13447,c_13443,c_13442,c_13441,c_13440,c_13439,c_13438,c_13437,c_13436,c_13435,c_13434,c_13433,c_13432,c_13431,c_13430,c_13429,c_13428,c_13427,c_13426,c_13425,c_13424,c_13423,c_13422,c_13421,c_13420,c_13419,c_13418,c_13417,c_13416,c_13336,c_13335,c_13334,c_13333,c_13329,c_13328,c_13327,c_13326,c_13325,c_13324,c_13323,c_13322,c_13321,c_13320,c_13319,c_13318,c_13317,c_13316,c_13315,c_13314,c_13313,c_13312,c_13311,c_13310,c_13309,c_13308,c_13307,c_13306,c_13305,c_13304,c_13303,c_13302,c_13203,c_13202,c_13201,c_13200,c_13196,c_13195,c_13194,c_13193,c_13192,c_13191,c_13190,c_13189,c_13188,c_13187,c_13186,c_13185,c_13184,c_13183,c_13182,c_13181,c_13180,c_13179,c_13178,c_13177,c_13176,c_13175,c_13174,c_13173,c_13172,c_13171,c_13170,c_13169,c_13038,c_13037,c_13036,c_13035,c_13031,c_13030,c_13029,c_13028,c_13027,c_13026,c_13025,c_13024,c_13023,c_13022,c_13021,c_13020,c_13019,c_13018,c_13017,c_13016,c_13015,c_13014,c_13013,c_13012,c_13011,c_13010,c_13009,c_13008,c_13007,c_13006,c_13005,c_13004,c_13000,c_12997,c_12524,c_12523,c_12522,c_12521,c_12517,c_12516,c_12515,c_12514,c_12513,c_12512,c_12511,c_12510,c_12509,c_12508,c_12507,c_12506,c_12505,c_12504,c_12503,c_12502,c_12501,c_12500,c_12499,c_12498,c_12497,c_12496,c_12495,c_12494,c_12493,c_12492,c_12491,c_12490,c_12486,c_12483,c_12446,c_12445,c_12444,c_12443,c_12439,c_12438,c_12437,c_12436,c_12435,c_12434,c_12433,c_12432,c_12431,c_12430,c_12429,c_12428,c_12427,c_12426,c_12425,c_12424,c_12423,c_12422,c_12421,c_12420,c_12419,c_12418,c_12417,c_12416,c_12415,c_12414,c_12413,c_12412,c_12408,c_12405,c_12402,c_12400,c_12399,c_12398,c_12396,c_12394,c_12391,c_12390,c_12388,c_12386,c_12385,c_12269,c_12268,c_12267,c_12266,c_12262,c_12261,c_12260,c_12259,c_12258,c_12257,c_12256,c_12255,c_12254,c_12253,c_12252,c_12251,c_12250,c_12249,c_12248,c_12247,c_12246,c_12245,c_12244,c_12243,c_12242,c_12241,c_12240,c_12239,c_12238,c_12237,c_12236,c_12235,c_12192,c_12191,c_12190,c_12189,c_12185,c_12184,c_12183,c_12182,c_12181,c_12180,c_12179,c_12178,c_12177,c_12176,c_12175,c_12174,c_12173,c_12172,c_12171,c_12170,c_12169,c_12168,c_12167,c_12166,c_12165,c_12164,c_12163,c_12162,c_12161,c_12160,c_12159,c_12158,c_12157,c_12155,c_12123,c_12067,c_12066,c_12065,c_12064,c_12060,c_12059,c_12058,c_12057,c_12056,c_12055,c_12054,c_12053,c_12052,c_12051,c_12050,c_12049,c_12048,c_12047,c_12046,c_12045,c_12044,c_12043,c_12042,c_12041,c_12040,c_12039,c_12038,c_12037,c_12036,c_12035,c_12034,c_12033,c_12029,c_11928,c_11927,c_11926,c_11925,c_11921,c_11920,c_11919,c_11918,c_11917,c_11916,c_11915,c_11914,c_11913,c_11912,c_11911,c_11910,c_11909,c_11908,c_11907,c_11906,c_11905,c_11904,c_11903,c_11902,c_11901,c_11900,c_11899,c_11898,c_11897,c_11896,c_11895,c_11894,c_11892,c_11891,c_11871,c_11868,c_11865,c_11759,c_11758,c_11757,c_11756,c_11752,c_11751,c_11750,c_11749,c_11748,c_11747,c_11746,c_11745,c_11744,c_11743,c_11742,c_11741,c_11740,c_11739,c_11738,c_11737,c_11736,c_11735,c_11734,c_11733,c_11732,c_11731,c_11730,c_11729,c_11728,c_11727,c_11726,c_11725,c_11651,c_11650,c_11649,c_11648,c_11644,c_11643,c_11642,c_11641,c_11640,c_11639,c_11638,c_11637,c_11636,c_11635,c_11634,c_11633,c_11632,c_11631,c_11630,c_11629,c_11628,c_11627,c_11626,c_11625,c_11624,c_11623,c_11622,c_11621,c_11620,c_11619,c_11618,c_11617,c_11548,c_11547,c_11546,c_11545,c_11541,c_11540,c_11539,c_11538,c_11537,c_11536,c_11535,c_11534,c_11533,c_11532,c_11531,c_11530,c_11529,c_11528,c_11527,c_11526,c_11525,c_11524,c_11523,c_11522,c_11521,c_11520,c_11519,c_11518,c_11517,c_11516,c_11515,c_11514,c_11457,c_11456,c_11455,c_11454,c_11450,c_11449,c_11448,c_11447,c_11446,c_11445,c_11444,c_11443,c_11442,c_11441,c_11440,c_11439,c_11438,c_11437,c_11436,c_11435,c_11434,c_11433,c_11432,c_11431,c_11430,c_11429,c_11428,c_11427,c_11426,c_11425,c_11424,c_11423,c_11273,c_11272,c_11271,c_11270,c_11266,c_11265,c_11264,c_11263,c_11262,c_11261,c_11260,c_11259,c_11258,c_11257,c_11256,c_11255,c_11254,c_11253,c_11252,c_11251,c_11250,c_11249,c_11248,c_11247,c_11246,c_11245,c_11244,c_11243,c_11242,c_11241,c_11240,c_11239,c_11050,c_11049,c_11048,c_11047,c_11043,c_11042,c_11041,c_11040,c_11039,c_11038,c_11037,c_11036,c_11035,c_11034,c_11033,c_11032,c_11031,c_11030,c_11029,c_11028,c_11027,c_11026,c_11025,c_11024,c_11023,c_11022,c_11021,c_11020,c_11019,c_11018,c_11017,c_11016,c_11014,c_10854,c_10853,c_10852,c_10851,c_10847,c_10846,c_10845,c_10844,c_10843,c_10842,c_10841,c_10840,c_10839,c_10838,c_10837,c_10836,c_10835,c_10834,c_10833,c_10832,c_10831,c_10830,c_10829,c_10828,c_10827,c_10826,c_10825,c_10824,c_10823,c_10822,c_10821,c_10820,c_10819,c_10813,c_10692,c_10691,c_10690,c_10689,c_10685,c_10684,c_10683,c_10682,c_10681,c_10680,c_10679,c_10678,c_10677,c_10676,c_10675,c_10674,c_10673,c_10672,c_10671,c_10670,c_10669,c_10668,c_10667,c_10666,c_10665,c_10664,c_10663,c_10662,c_10661,c_10660,c_10659,c_10658,c_10657,c_10655,c_10653,c_10628,c_10627,c_10626,c_10625,c_10621,c_10620,c_10619,c_10618,c_10617,c_10616,c_10615,c_10614,c_10613,c_10612,c_10611,c_10610,c_10609,c_10608,c_10607,c_10606,c_10605,c_10604,c_10603,c_10602,c_10601,c_10600,c_10599,c_10598,c_10597,c_10596,c_10595,c_10594,c_10593,c_10591,c_10589,c_10568,c_10564,c_10555,c_10551,c_10548,c_10518,c_10515,c_10504,c_10498,c_10487,c_10359,c_10358,c_10357,c_10356,c_10352,c_10351,c_10350,c_10349,c_10348,c_10347,c_10346,c_10345,c_10344,c_10343,c_10342,c_10341,c_10340,c_10339,c_10338,c_10337,c_10336,c_10335,c_10334,c_10333,c_10332,c_10331,c_10330,c_10329,c_10328,c_10327,c_10326,c_10325,c_10241,c_10240,c_10239,c_10238,c_10234,c_10233,c_10232,c_10231,c_10230,c_10229,c_10228,c_10227,c_10226,c_10225,c_10224,c_10223,c_10222,c_10221,c_10220,c_10219,c_10218,c_10217,c_10216,c_10215,c_10214,c_10213,c_10212,c_10211,c_10210,c_10209,c_10208,c_10207,c_10148,c_10147,c_10146,c_10145,c_10141,c_10140,c_10139,c_10138,c_10137,c_10136,c_10135,c_10134,c_10133,c_10132,c_10131,c_10130,c_10129,c_10128,c_10127,c_10126,c_10125,c_10124,c_10123,c_10122,c_10121,c_10120,c_10119,c_10118,c_10117,c_10116,c_10115,c_10114,c_10112,c_10110,c_9997,c_9996,c_9995,c_9994,c_9990,c_9989,c_9988,c_9987,c_9986,c_9985,c_9984,c_9983,c_9982,c_9981,c_9980,c_9979,c_9978,c_9977,c_9976,c_9975,c_9974,c_9973,c_9972,c_9971,c_9970,c_9969,c_9968,c_9967,c_9966,c_9965,c_9964,c_9963,c_9961,c_9959,c_9956,c_9952,c_9948,c_9944,c_9940,c_9936,c_9929,c_9928,c_9926,c_9922,c_9919,c_9854,c_9853,c_9852,c_9851,c_9847,c_9846,c_9845,c_9844,c_9843,c_9842,c_9841,c_9840,c_9839,c_9838,c_9837,c_9836,c_9835,c_9834,c_9833,c_9832,c_9831,c_9830,c_9829,c_9828,c_9827,c_9826,c_9825,c_9824,c_9823,c_9822,c_9821,c_9820,c_9818,c_9688,c_9687,c_9686,c_9685,c_9681,c_9680,c_9679,c_9678,c_9677,c_9676,c_9675,c_9674,c_9673,c_9672,c_9671,c_9670,c_9669,c_9668,c_9667,c_9666,c_9665,c_9664,c_9663,c_9662,c_9661,c_9660,c_9659,c_9658,c_9657,c_9656,c_9655,c_9654,c_9652,c_9606,c_9605,c_9604,c_9603,c_9599,c_9598,c_9597,c_9596,c_9595,c_9594,c_9593,c_9592,c_9591,c_9590,c_9589,c_9588,c_9587,c_9586,c_9585,c_9584,c_9583,c_9582,c_9581,c_9580,c_9579,c_9578,c_9577,c_9576,c_9575,c_9574,c_9573,c_9572,c_9568,c_9567,c_9546,c_9544,c_9543,c_9542,c_9540,c_9538,c_9537,c_9535,c_9534,c_9456,c_9455,c_9454,c_9453,c_9449,c_9448,c_9447,c_9446,c_9445,c_9444,c_9443,c_9442,c_9441,c_9440,c_9439,c_9438,c_9437,c_9436,c_9435,c_9434,c_9433,c_9432,c_9431,c_9430,c_9429,c_9428,c_9427,c_9426,c_9425,c_9424,c_9423,c_9422,c_9418,c_9260,c_9259,c_9258,c_9257,c_9253,c_9252,c_9251,c_9250,c_9249,c_9248,c_9247,c_9246,c_9245,c_9244,c_9243,c_9242,c_9241,c_9240,c_9239,c_9238,c_9237,c_9236,c_9235,c_9234,c_9233,c_9232,c_9231,c_9230,c_9229,c_9228,c_9227,c_9226,c_9223,c_9175,c_9174,c_9173,c_9172,c_9168,c_9167,c_9166,c_9165,c_9164,c_9163,c_9162,c_9161,c_9160,c_9159,c_9158,c_9157,c_9156,c_9155,c_9154,c_9153,c_9152,c_9151,c_9150,c_9149,c_9148,c_9147,c_9146,c_9145,c_9144,c_9143,c_9142,c_9141,c_9139,c_9074,c_9073,c_9072,c_9071,c_9067,c_9066,c_9065,c_9064,c_9063,c_9062,c_9061,c_9060,c_9059,c_9058,c_9057,c_9056,c_9055,c_9054,c_9053,c_9052,c_9051,c_9050,c_9049,c_9048,c_9047,c_9046,c_9045,c_9044,c_9043,c_9042,c_9041,c_9040,c_9036,c_9026,c_9024,c_9023,c_9022,c_8957,c_8956,c_8955,c_8954,c_8950,c_8949,c_8948,c_8947,c_8946,c_8945,c_8944,c_8943,c_8942,c_8941,c_8940,c_8939,c_8938,c_8937,c_8936,c_8935,c_8934,c_8933,c_8932,c_8931,c_8930,c_8929,c_8928,c_8927,c_8926,c_8925,c_8924,c_8923,c_8749,c_8748,c_8747,c_8746,c_8742,c_8741,c_8740,c_8739,c_8738,c_8737,c_8736,c_8735,c_8734,c_8733,c_8732,c_8731,c_8730,c_8729,c_8728,c_8727,c_8726,c_8725,c_8724,c_8723,c_8722,c_8721,c_8720,c_8719,c_8718,c_8717,c_8716,c_8715,c_8713,c_8711,c_8704,c_8701,c_8697,c_8696,c_8661,c_8660,c_8659,c_8658,c_8657,c_8656,c_8655,c_8654,c_8653,c_8652,c_8651,c_8650,c_8648,c_8646,c_8645,c_8644,c_8643,c_8641,c_8640,c_8639,c_8638,c_8637,c_8636,c_8635,c_8630,c_8628,c_8627,c_8626,c_8610,c_8544,c_8543,c_8542,c_8541,c_8540,c_8539,c_8538,c_8537,c_8536,c_8535,c_8534,c_8533,c_8531,c_8529,c_8528,c_8527,c_8526,c_8524,c_8523,c_8522,c_8521,c_8520,c_8519,c_8518,c_8513,c_8511,c_8510,c_8509,c_8507,c_8506,c_8356,c_8355,c_8354,c_8353,c_8352,c_8351,c_8350,c_8349,c_8348,c_8347,c_8346,c_8345,c_8343,c_8341,c_8340,c_8339,c_8338,c_8336,c_8335,c_8334,c_8333,c_8332,c_8331,c_8330,c_8325,c_8323,c_8322,c_8321,c_8318,c_8234,c_8233,c_8232,c_8231,c_8230,c_8229,c_8228,c_8227,c_8226,c_8225,c_8224,c_8223,c_8222,c_8221,c_8220,c_8219,c_8218,c_8217,c_8216,c_8215,c_8214,c_8213,c_8212,c_8211,c_8210,c_8209,c_8208,c_8207,c_8206,c_8205,c_8203,c_8201,c_8200,c_8199,c_8198,c_8197,c_8196,c_8195,c_8194,c_8193,c_8192,c_8191,c_8171,c_8167,c_8165,c_8163,c_8002,c_8001,c_8000,c_7999,c_7998,c_7997,c_7996,c_7995,c_7994,c_7993,c_7992,c_7991,c_7989,c_7987,c_7986,c_7985,c_7984,c_7982,c_7981,c_7980,c_7979,c_7978,c_7977,c_7976,c_7971,c_7969,c_7968,c_7967,c_7959,c_7891,c_7890,c_7889,c_7888,c_7887,c_7886,c_7885,c_7884,c_7883,c_7882,c_7881,c_7880,c_7878,c_7876,c_7875,c_7874,c_7873,c_7871,c_7870,c_7869,c_7868,c_7867,c_7866,c_7865,c_7860,c_7858,c_7857,c_7856,c_7853,c_7730,c_7729,c_7728,c_7727,c_7726,c_7725,c_7724,c_7723,c_7722,c_7721,c_7720,c_7719,c_7717,c_7715,c_7714,c_7713,c_7712,c_7710,c_7709,c_7708,c_7707,c_7706,c_7705,c_7704,c_7699,c_7697,c_7696,c_7695,c_7692,c_7564,c_7563,c_7562,c_7561,c_7560,c_7559,c_7558,c_7557,c_7556,c_7555,c_7554,c_7553,c_7552,c_7551,c_7550,c_7549,c_7548,c_7547,c_7546,c_7545,c_7544,c_7543,c_7542,c_7541,c_7540,c_7539,c_7538,c_7537,c_7536,c_7535,c_7533,c_7531,c_7530,c_7529,c_7528,c_7527,c_7526,c_7525,c_7523,c_7521,c_7496,c_7495,c_7489,c_7483,c_7477,c_7475,c_7429,c_7428,c_7427,c_7426,c_7425,c_7424,c_7423,c_7422,c_7421,c_7420,c_7419,c_7418,c_7416,c_7414,c_7413,c_7412,c_7411,c_7409,c_7408,c_7407,c_7406,c_7405,c_7404,c_7403,c_7398,c_7396,c_7395,c_7394,c_7364,c_7264,c_7263,c_7262,c_7261,c_7260,c_7259,c_7258,c_7257,c_7256,c_7255,c_7254,c_7253,c_7251,c_7249,c_7248,c_7247,c_7246,c_7244,c_7243,c_7242,c_7241,c_7240,c_7239,c_7238,c_7233,c_7231,c_7230,c_7229,c_7227,c_7226,c_7162,c_7161,c_7160,c_7159,c_7158,c_7157,c_7156,c_7155,c_7154,c_7153,c_7152,c_7151,c_7149,c_7147,c_7146,c_7145,c_7144,c_7142,c_7141,c_7140,c_7139,c_7138,c_7137,c_7136,c_7131,c_7129,c_7128,c_7127,c_6958,c_6957,c_6956,c_6955,c_6954,c_6953,c_6952,c_6951,c_6950,c_6949,c_6948,c_6947,c_6946,c_6945,c_6944,c_6943,c_6942,c_6941,c_6940,c_6939,c_6938,c_6937,c_6936,c_6935,c_6934,c_6933,c_6932,c_6931,c_6930,c_6929,c_6927,c_6925,c_6924,c_6923,c_6922,c_6921,c_6920,c_6913,c_6911,c_6910,c_6909,c_6873,c_6869,c_6860,c_6856,c_6853,c_6850,c_6837,c_6751,c_6639,c_6638,c_6637,c_6636,c_6635,c_6634,c_6633,c_6632,c_6631,c_6630,c_6629,c_6628,c_6627,c_6626,c_6625,c_6624,c_6623,c_6622,c_6621,c_6620,c_6619,c_6618,c_6617,c_6616,c_6615,c_6614,c_6613,c_6612,c_6611,c_6610,c_6608,c_6606,c_6605,c_6604,c_6602,c_6601,c_6528,c_6527,c_6526,c_6525,c_6524,c_6523,c_6522,c_6521,c_6520,c_6519,c_6518,c_6517,c_6516,c_6515,c_6514,c_6513,c_6512,c_6511,c_6510,c_6509,c_6508,c_6507,c_6503,c_6407,c_6406,c_6405,c_6404,c_6403,c_6402,c_6401,c_6400,c_6399,c_6398,c_6397,c_6396,c_6395,c_6394,c_6393,c_6392,c_6391,c_6390,c_6389,c_6388,c_6387,c_6386,c_6380,c_6348,c_6350,c_6341,c_6343,c_6342,c_6338,c_6320,c_6319,c_6321,c_6316,c_6315,c_6317,c_6243,c_6242,c_6241,c_6240,c_6239,c_6238,c_6237,c_6236,c_6235,c_6234,c_6233,c_6232,c_6231,c_6230,c_6229,c_6228,c_6227,c_6226,c_6225,c_6224,c_6223,c_6222,c_6221,c_6220,c_6219,c_6218,c_6217,c_6216,c_6214,c_6212,c_6211,c_6210,c_6209,c_6208,c_6207,c_6171,c_6170,c_6169,c_6168,c_6167,c_6166,c_6165,c_6164,c_6163,c_6162,c_6161,c_6160,c_6159,c_6158,c_6157,c_6156,c_6155,c_6154,c_6153,c_6152,c_6151,c_6147,c_6122,c_6090,c_6092,c_6086,c_6073,c_6075,c_6070,c_6054,c_6056,c_6043,c_6042,c_6044,c_5923,c_5922,c_5921,c_5920,c_5919,c_5918,c_5917,c_5916,c_5915,c_5914,c_5913,c_5912,c_5911,c_5910,c_5909,c_5908,c_5907,c_5906,c_5905,c_5904,c_5903,c_5902,c_5901,c_5900,c_5899,c_5898,c_5897,c_5895,c_5893,c_5892,c_5891,c_5890,c_5889,c_5888,c_5777,c_5776,c_5775,c_5774,c_5773,c_5772,c_5771,c_5770,c_5769,c_5768,c_5767,c_5766,c_5765,c_5764,c_5763,c_5762,c_5761,c_5760,c_5759,c_5758,c_5757,c_5756,c_5755,c_5754,c_5753,c_5752,c_5751,c_5749,c_5747,c_5746,c_5745,c_5744,c_5743,c_5742,c_5741,c_5725,c_5724,c_5710,c_5702,c_5699,c_5696,c_5695,c_5694,c_5685,c_5682,c_5679,c_5546,c_5545,c_5544,c_5543,c_5542,c_5541,c_5540,c_5539,c_5538,c_5537,c_5536,c_5535,c_5534,c_5533,c_5532,c_5531,c_5530,c_5529,c_5528,c_5527,c_5526,c_5525,c_5524,c_5523,c_5522,c_5521,c_5520,c_5518,c_5516,c_5515,c_5514,c_5513,c_5512,c_5511,c_5441,c_5440,c_5439,c_5438,c_5437,c_5436,c_5435,c_5434,c_5433,c_5431,c_5429,c_5428,c_5427,c_5426,c_5424,c_5423,c_5422,c_5421,c_5420,c_5419,c_5418,c_5413,c_5411,c_5410,c_5409,c_5331,c_5330,c_5329,c_5328,c_5327,c_5326,c_5325,c_5324,c_5323,c_5322,c_5321,c_5319,c_5318,c_5317,c_5316,c_5314,c_5313,c_5312,c_5311,c_5310,c_5309,c_5308,c_5303,c_5301,c_5300,c_5299,c_5237,c_5236,c_5235,c_5234,c_5233,c_5232,c_5231,c_5230,c_5229,c_5228,c_5227,c_5226,c_5225,c_5224,c_5223,c_5222,c_5220,c_5219,c_5218,c_5217,c_5216,c_5215,c_5214,c_5209,c_5207,c_5206,c_5205,c_5101,c_5100,c_5099,c_5098,c_5097,c_5096,c_5095,c_5094,c_5093,c_5092,c_5091,c_5090,c_5089,c_5088,c_5087,c_5086,c_5085,c_5084,c_5083,c_5082,c_5081,c_5080,c_5079,c_5078,c_5073,c_5071,c_5070,c_5069,c_4975,c_4974,c_4973,c_4972,c_4971,c_4970,c_4969,c_4968,c_4967,c_4966,c_4965,c_4964,c_4963,c_4962,c_4961,c_4960,c_4959,c_4958,c_4957,c_4956,c_4955,c_4954,c_4953,c_4952,c_4951,c_4947,c_4945,c_4944,c_4943,c_4853,c_4852,c_4851,c_4850,c_4849,c_4848,c_4847,c_4846,c_4845,c_4844,c_4843,c_4842,c_4841,c_4840,c_4839,c_4838,c_4837,c_4836,c_4835,c_4834,c_4833,c_4832,c_4831,c_4830,c_4829,c_4828,c_4825,c_4823,c_4822,c_4821,c_4766,c_4765,c_4764,c_4763,c_4762,c_4761,c_4760,c_4759,c_4758,c_4757,c_4756,c_4755,c_4753,c_4724,c_4723,c_4722,c_4721,c_4720,c_4719,c_4718,c_4717,c_4716,c_4715,c_4714,c_4713,c_4710,c_4708,c_4689,c_4595,c_4594,c_4593,c_4592,c_4591,c_4590,c_4589,c_4588,c_4587,c_4586,c_4585,c_4584,c_4583,c_4582,c_4581,c_4580,c_4579,c_4578,c_4577,c_4576,c_4575,c_4574,c_4573,c_4572,c_4571,c_4569,c_4567,c_4566,c_4565,c_4564,c_4563,c_4562,c_4510,c_4509,c_4508,c_4507,c_4506,c_4505,c_4504,c_4503,c_4502,c_4501,c_4500,c_4495,c_4493,c_4476,c_4470,c_4473,c_4472,c_4452,c_4451,c_4454,c_4453,c_4447,c_4422,c_4421,c_4341,c_4340,c_4339,c_4338,c_4337,c_4336,c_4335,c_4334,c_4333,c_4332,c_4331,c_4330,c_4329,c_4328,c_4327,c_4326,c_4325,c_4324,c_4323,c_4322,c_4321,c_4320,c_4319,c_4318,c_4316,c_4314,c_4313,c_4312,c_4311,c_4310,c_4309,c_4085,c_4084,c_4083,c_4082,c_4081,c_4080,c_4079,c_4078,c_4077,c_4076,c_4075,c_4074,c_4073,c_4072,c_4071,c_4070,c_4069,c_4068,c_4067,c_4066,c_4065,c_4064,c_4063,c_4062,c_4060,c_4058,c_4057,c_4056,c_4055,c_4054,c_4053,c_4052,c_4049,c_4004,c_3863,c_3862,c_3861,c_3860,c_3859,c_3858,c_3857,c_3856,c_3855,c_3854,c_3853,c_3852,c_3851,c_3850,c_3849,c_3848,c_3847,c_3846,c_3845,c_3844,c_3843,c_3842,c_3841,c_3840,c_3838,c_3836,c_3835,c_3834,c_3833,c_3832,c_3831,c_3782,c_3781,c_3780,c_3779,c_3778,c_3777,c_3776,c_3775,c_3772,c_3737,c_3736,c_3735,c_3734,c_3733,c_3732,c_3731,c_3730,c_3727,c_3711,c_3710,c_3709,c_3708,c_3707,c_3706,c_3705,c_3704,c_3701,c_3648,c_3647,c_3646,c_3645,c_3644,c_3643,c_3642,c_3641,c_3638,c_3632,c_3630,c_3623,c_3621,c_3590,c_3589,c_3588,c_3587,c_3586,c_3585,c_3584,c_3583,c_3580,c_3538,c_3537,c_3536,c_3535,c_3534,c_3533,c_3532,c_3531,c_3528,c_3490,c_3489,c_3488,c_3487,c_3486,c_3485,c_3484,c_3483,c_3478,c_3471,c_3469,c_3413,c_3412,c_3411,c_3410,c_3409,c_3408,c_3407,c_3406,c_3368,c_3367,c_3366,c_3365,c_3364,c_3363,c_3362,c_3361,c_3360,c_3359,c_3357,c_3321,c_3320,c_3319,c_3318,c_3317,c_3316,c_3315,c_3314,c_3311,c_3304,c_3306,c_3302,c_3276,c_3275,c_3277,c_3270,c_3269,c_3256,c_3255,c_3257,c_3184,c_3183,c_3182,c_3181,c_3180,c_3179,c_3178,c_3177,c_3176,c_3175,c_3174,c_3173,c_3172,c_3171,c_3169,c_3167,c_3166,c_3165,c_3164,c_3163,c_3162,c_3139,c_3138,c_3137,c_3136,c_3135,c_3134,c_3133,c_3131,c_3078,c_3077,c_3076,c_3075,c_3074,c_3073,c_3072,c_3070,c_3053,c_3052,c_3051,c_3050,c_3049,c_3048,c_3047,c_3045,c_3000,c_2999,c_2998,c_2997,c_2996,c_2995,c_2994,c_2992,c_2988,c_2987,c_2986,c_2985,c_2984,c_2983,c_2982,c_2980,c_2968,c_2967,c_2958,c_2942,c_2941,c_2940,c_2939,c_2938,c_2937,c_2936,c_2894,c_2893,c_2892,c_2891,c_2890,c_2889,c_2888,c_2887,c_2885,c_2856,c_2855,c_2854,c_2853,c_2852,c_2851,c_2850,c_2848,c_2827,c_2826,c_2825,c_2824,c_2823,c_2822,c_2821,c_2819,c_2770,c_2769,c_2768,c_2767,c_2766,c_2765,c_2764,c_2762,c_2736,c_2735,c_2734,c_2733,c_2732,c_2731,c_2730,c_2727,c_2712,c_2711,c_2710,c_2709,c_2708,c_2707,c_2706,c_2704,c_2679,c_2678,c_2677,c_2676,c_2675,c_2674,c_2673,c_2670,c_2669,c_2668,c_2667,c_2660,c_2659,c_2658,c_2657,c_2639,c_2636,c_2621,c_2620,c_2619,c_2618,c_2617,c_2616,c_2615,c_2613,c_2572,c_2571,c_2570,c_2569,c_2568,c_2567,c_2566,c_2563,c_2541,c_2540,c_2539,c_2538,c_2537,c_2536,c_2535,c_2533,c_2490,c_2489,c_2488,c_2487,c_2467,c_2466,c_2465,c_2464,c_2463,c_2462,c_2460,c_2459,c_2447,c_2446,c_2445,c_2444,c_2406,c_2405,c_2404,c_2403,c_2402,c_2400,c_2378,c_2377,c_2376,c_2375,c_2374,c_2371,c_2370,c_2361,c_2350,c_2349,c_2348,c_2343,c_2342,c_2341,c_2340,c_2332,c_2329,c_2327,c_2323,c_2322,c_2321,c_2320,c_2315,c_2314,c_2313,c_2312,c_2307,c_2306,c_2305,c_2304,c_1259,c_1176,c_1165,c_1118,c_1112,c_1108,c_1102,c_1103,c_1109,c_1113,c_1119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG055+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n019.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 07:59:22 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 165.34/23.98  % SZS status Started for theBenchmark.p
% 165.34/23.98  % SZS status Theorem for theBenchmark.p
% 165.34/23.98  
% 165.34/23.98  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 165.34/23.98  
% 165.34/23.98  % ------  iProver source info
% 165.34/23.98  
% 165.34/23.98  % git: date: 2026-07-19 20:42:38 +0200
% 165.34/23.98  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 165.34/23.98  % git: non_committed_changes: false
% 165.34/23.98  
% 165.34/23.98  % ------ Parsing...
% 165.34/23.98  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 165.34/23.98  
% 165.34/23.98  % ------ Preprocessing... sup_sim: 0  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 % 
% 165.34/23.98  
% 165.34/23.98  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 165.34/23.98  
% 165.34/23.98  % ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 165.34/23.98  % ------ Proving...
% 165.34/23.98  % ------ Problem Properties 
% 165.34/23.98  
% 165.34/23.98  % 
% 165.34/23.98  % clauses                               88
% 165.34/23.98  % conjectures                           1
% 165.34/23.98  % EPR                                   25
% 165.34/23.98  % Horn                                  76
% 165.34/23.98  % unary                                 37
% 165.34/23.98  % binary                                17
% 165.34/23.98  % lits                                  220
% 165.34/23.98  % lits eq                               68
% 165.34/23.98  % fd_pure                               0
% 165.34/23.98  % fd_pseudo                             0
% 165.34/23.98  % fd_cond                               1
% 165.34/23.98  % fd_pseudo_cond                        5
% 165.34/23.98  % AC symbols                            0
% 165.34/23.98  
% 165.34/23.98  % ------ Input Options Time Limit: Unbounded
% 165.34/23.98  
% 165.34/23.98  
% 165.34/23.98  % ------ 
% 165.34/23.98  % Current options:
% 165.34/23.98  % ------ 
% 165.34/23.98  
% 165.34/23.98  
% 165.34/23.98  % 
% 165.34/23.98  
% 165.34/23.98  % ------ Proving...
% 165.34/23.98  % 
% 165.34/23.98  
% 165.34/23.98  % SZS status Theorem for theBenchmark.p
% 165.34/23.98  
% 165.34/23.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 171.80/24.10  
% 171.80/24.10  
%------------------------------------------------------------------------------