%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG062+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 : n012.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 02:38:32 PM UTC 2026
% Result : Theorem 2.78s 22.88s
% Output : CNFRefutation 167.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 8237 (6509 unt; 0 def)
% Number of atoms : 11241 (7927 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 5959 (2955 ~;2950 |; 45 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 2563 ( 0 sgn2563 !; 0 ?;2468 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(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(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f58,axiom,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f59,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2180) ).
fof(f60,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2221) ).
fof(f61,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f80,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f81,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(f82,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,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f138,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f139,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f80]) ).
fof(f140,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f141,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f142,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f205,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f209,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f210,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f211,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f214,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f215,plain,
smndt0(xN) = sdtasdt0(smndt0(xS),xR),
inference(cnf_transformation,[],[f58]) ).
fof(f216,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f217,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f59]) ).
fof(f218,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(cnf_transformation,[],[f60]) ).
fof(f219,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(cnf_transformation,[],[f68]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f135]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_59,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f150]) ).
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,[],[f149]) ).
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,[],[f148]) ).
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,[],[f147]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_125,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f205]) ).
tcf(c_129,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f209]) ).
tcf(c_131,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f211]) ).
tcf(c_132,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f210]) ).
tcf(c_135,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f216]) ).
tcf(c_136,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf_transformation,[],[f215]) ).
tcf(c_137,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f214]) ).
tcf(c_138,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnf_transformation,[],[f217]) ).
tcf(c_139,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnf_transformation,[],[f218]) ).
tcf(c_140,negated_conjecture,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cnf_transformation,[],[f219]) ).
tcf(c_143,plain,
( aScalar0(smndt0(sz0z00))
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_148,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_156,plain,
( aScalar0(sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_187,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_67,c_56,c_148]) ).
tcf(c_1131,plain,
smndt0(sz0z00) = sz0z00,
inference(subtyping,[status(esa)],[c_187]) ).
tcf(c_1132,negated_conjecture,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(subtyping,[status(esa)],[c_140]) ).
tcf(c_1133,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(subtyping,[status(esa)],[c_139]) ).
tcf(c_1134,plain,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(subtyping,[status(esa)],[c_138]) ).
tcf(c_1135,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(subtyping,[status(esa)],[c_137]) ).
tcf(c_1136,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(subtyping,[status(esa)],[c_136]) ).
tcf(c_1137,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(subtyping,[status(esa)],[c_135]) ).
tcf(c_1140,plain,
sdtasdt0(xR,xS) = xN,
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_1141,plain,
aScalar0(xN),
inference(subtyping,[status(esa)],[c_131]) ).
tcf(c_1143,plain,
aScalar0(xS),
inference(subtyping,[status(esa)],[c_129]) ).
tcf(c_1147,plain,
aScalar0(xR),
inference(subtyping,[status(esa)],[c_125]) ).
tcf(c_1194,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(X0_iProver_smndt0_0),smndt0(X1_iProver_smndt0_0)) = sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_77]) ).
tcf(c_1195,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0) = smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_1196,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(X0_iProver_smndt0_0,smndt0(X1_iProver_smndt0_0)) = smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_75]) ).
tcf(c_1197,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X3_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0),sdtasdt0(X1_iProver_smndt0_0,X3_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtpldt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_1198,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0),sdtasdt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_1199,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0)) = sdtasdt0(X0_iProver_smndt0_0,sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_72]) ).
tcf(c_1200,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtasdt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_1201,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0) = sdtasdt0(X0_iProver_smndt0_0,sdtasdt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_1202,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtpldt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_1203,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0) = sdtpldt0(X0_iProver_smndt0_0,sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_1204,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(X0_iProver_smndt0_0)) = X0_iProver_smndt0_0 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_1205,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(X0_iProver_smndt0_0),X0_iProver_smndt0_0) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_1206,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(X0_iProver_smndt0_0,smndt0(X0_iProver_smndt0_0)) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_1211,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( aScalar0(smndt0(X0_iProver_smndt0_0))
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_1212,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( aScalar0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_1213,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( aScalar0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_1221,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ~ iPr_def_10
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1202]) ).
tcf(c_1222,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ~ iPr_def_11
| ( sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtpldt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1202]) ).
tcf(c_1223,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1202]) ).
tcf(c_1224,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ~ iPr_def_12
| ( sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtasdt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1200]) ).
tcf(c_1225,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1200]) ).
tcf(c_1284,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1221]) ).
tcf(c_1289,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ( sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtpldt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1222,c_56,c_1284,c_1222,c_1223]) ).
tcf(c_1290,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtpldt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(renaming,[status(thm)],[c_1289]) ).
tcf(c_1294,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ( sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtasdt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1224,c_56,c_1284,c_1224,c_1225]) ).
tcf(c_1295,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) = sdtasdt0(X1_iProver_smndt0_0,X0_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(renaming,[status(thm)],[c_1294]) ).
tcf(c_2364,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_1147,c_1204]) ).
tcf(c_2365,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_1143,c_1204]) ).
tcf(c_2366,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_1141,c_1204]) ).
tcf(c_2367,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1204]) ).
tcf(c_2369,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_1147,c_1205]) ).
tcf(c_2370,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_1143,c_1205]) ).
tcf(c_2371,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_1141,c_1205]) ).
tcf(c_2372,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(X0_iProver_smndt0_0)),smndt0(X0_iProver_smndt0_0)) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1205]) ).
tcf(c_2377,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_1147,c_1206]) ).
tcf(c_2378,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_1143,c_1206]) ).
tcf(c_2379,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_1141,c_1206]) ).
tcf(c_2380,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(X0_iProver_smndt0_0),smndt0(smndt0(X0_iProver_smndt0_0))) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1206]) ).
tcf(c_2383,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_1137,c_1212]) ).
tcf(c_2385,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_1135,c_1212]) ).
tcf(c_2386,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1206]) ).
tcf(c_2387,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1205]) ).
tcf(c_2388,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1204]) ).
tcf(c_2392,plain,
( ( sdtpldt0(sdtasdt0(xS,xS),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1206]) ).
tcf(c_2393,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xS,xS)) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1205]) ).
tcf(c_2394,plain,
( ( smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1204]) ).
tcf(c_2400,plain,
( aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_2377,c_1213]) ).
tcf(c_2401,plain,
( aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2378,c_1213]) ).
tcf(c_2402,plain,
( aScalar0(sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_2379,c_1213]) ).
tcf(c_2403,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1206]) ).
tcf(c_2404,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1205]) ).
tcf(c_2405,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1204]) ).
tcf(c_2423,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(xR,X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1194]) ).
tcf(c_2424,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(xS,X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1194]) ).
tcf(c_2425,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(xN,X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1194]) ).
tcf(c_2426,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(X0_iProver_smndt0_0)),smndt0(X1_iProver_smndt0_0)) = sdtasdt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1194]) ).
tcf(c_2427,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),smndt0(X2_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1194]) ).
tcf(c_2428,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),smndt0(X2_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1194]) ).
tcf(c_2429,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1194]) ).
tcf(c_2450,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),X0_iProver_smndt0_0) = smndt0(sdtasdt0(xR,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1195]) ).
tcf(c_2451,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),X0_iProver_smndt0_0) = smndt0(sdtasdt0(xS,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1195]) ).
tcf(c_2452,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),X0_iProver_smndt0_0) = smndt0(sdtasdt0(xN,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1195]) ).
tcf(c_2453,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(X0_iProver_smndt0_0)),X1_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1195]) ).
tcf(c_2454,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),X2_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1195]) ).
tcf(c_2455,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),X2_iProver_smndt0_0) = smndt0(sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1195]) ).
tcf(c_2456,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1195]) ).
tcf(c_2465,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_2471,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(xR,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1196]) ).
tcf(c_2472,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xS,smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(xS,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1196]) ).
tcf(c_2473,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xN,smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(xN,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1196]) ).
tcf(c_2474,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(X0_iProver_smndt0_0),smndt0(X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1196]) ).
tcf(c_2475,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),smndt0(X2_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1196]) ).
tcf(c_2476,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),smndt0(X2_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1196]) ).
tcf(c_2477,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1196]) ).
tcf(c_2516,plain,
aScalar0(sz0z00),
inference(global_subsumption_just,[status(thm)],[c_2400,c_56]) ).
tcf(c_2518,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sz0z00,smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sz0z00,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1196]) ).
tcf(c_2519,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sz0z00,X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1195]) ).
tcf(c_2520,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sz0z00,X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1194]) ).
tcf(c_2521,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_2516,c_1206]) ).
tcf(c_2522,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_2516,c_1205]) ).
tcf(c_2523,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_2516,c_1204]) ).
tcf(c_2539,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_1131,c_2521]) ).
tcf(c_2548,plain,
aScalar0(smndt0(xN)),
inference(global_subsumption_just,[status(thm)],[c_2383,c_129,c_125,c_2383,c_2465]) ).
tcf(c_2550,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1196]) ).
tcf(c_2551,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1195]) ).
tcf(c_2552,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1194]) ).
tcf(c_2553,plain,
sdtpldt0(smndt0(xN),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_2548,c_1206]) ).
tcf(c_2554,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_2548,c_1205]) ).
tcf(c_2555,plain,
smndt0(smndt0(smndt0(xN))) = smndt0(xN),
inference(superposition,[status(thm)],[c_2548,c_1204]) ).
tcf(c_2576,plain,
smndt0(smndt0(smndt0(sz0z00))) = smndt0(sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2367]) ).
tcf(c_2577,plain,
smndt0(smndt0(smndt0(xR))) = smndt0(xR),
inference(superposition,[status(thm)],[c_1147,c_2367]) ).
tcf(c_2578,plain,
smndt0(smndt0(smndt0(xS))) = smndt0(xS),
inference(superposition,[status(thm)],[c_1143,c_2367]) ).
tcf(c_2580,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = smndt0(smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2367]) ).
tcf(c_2581,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2367]) ).
tcf(c_2582,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2367]) ).
tcf(c_2583,plain,
smndt0(smndt0(smndt0(smndt0(xN)))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2367]) ).
tcf(c_2584,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2367]) ).
tcf(c_2616,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sz0z00,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1201]) ).
tcf(c_2617,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(xR,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1201]) ).
tcf(c_2618,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(xS,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1201]) ).
tcf(c_2619,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(xN,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1201]) ).
tcf(c_2620,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0),X2_iProver_smndt0_0) = sdtasdt0(smndt0(X0_iProver_smndt0_0),sdtasdt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1201]) ).
tcf(c_2621,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),X3_iProver_smndt0_0) = sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1201]) ).
tcf(c_2622,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),X3_iProver_smndt0_0) = sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1201]) ).
tcf(c_2623,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1201]) ).
tcf(c_2624,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1201]) ).
tcf(c_2633,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sz0z00,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sz0z00,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1203]) ).
tcf(c_2634,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(xR,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(xR,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1203]) ).
tcf(c_2635,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(xS,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(xS,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1203]) ).
tcf(c_2636,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(xN,X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(xN,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1203]) ).
tcf(c_2637,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0),X2_iProver_smndt0_0) = sdtpldt0(smndt0(X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1203]) ).
tcf(c_2638,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),X3_iProver_smndt0_0) = sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtpldt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1203]) ).
tcf(c_2639,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),X3_iProver_smndt0_0) = sdtpldt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtpldt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1203]) ).
tcf(c_2640,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1203]) ).
tcf(c_2641,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1203]) ).
tcf(c_2669,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sz0z00,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sz0z00,X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1198]) ).
tcf(c_2670,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(xR,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(xR,X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1198]) ).
tcf(c_2671,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(xS,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(xS,X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1198]) ).
tcf(c_2672,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(xN,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(xN,X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1198]) ).
tcf(c_2673,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(X0_iProver_smndt0_0),X2_iProver_smndt0_0),sdtasdt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0),X2_iProver_smndt0_0) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1198]) ).
tcf(c_2674,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X3_iProver_smndt0_0),sdtasdt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),X3_iProver_smndt0_0) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1198]) ).
tcf(c_2675,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X3_iProver_smndt0_0),sdtasdt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),X3_iProver_smndt0_0) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1198]) ).
tcf(c_2676,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1198]) ).
tcf(c_2677,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1198]) ).
tcf(c_2700,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sz0z00,X0_iProver_smndt0_0),sdtasdt0(sz0z00,X1_iProver_smndt0_0)) = sdtasdt0(sz0z00,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1199]) ).
tcf(c_2701,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(xR,X0_iProver_smndt0_0),sdtasdt0(xR,X1_iProver_smndt0_0)) = sdtasdt0(xR,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1199]) ).
tcf(c_2702,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(xS,X0_iProver_smndt0_0),sdtasdt0(xS,X1_iProver_smndt0_0)) = sdtasdt0(xS,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1199]) ).
tcf(c_2703,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(xN,X0_iProver_smndt0_0),sdtasdt0(xN,X1_iProver_smndt0_0)) = sdtasdt0(xN,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1199]) ).
tcf(c_2704,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0),sdtasdt0(smndt0(X0_iProver_smndt0_0),X2_iProver_smndt0_0)) = sdtasdt0(smndt0(X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1199]) ).
tcf(c_2705,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X3_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtpldt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1199]) ).
tcf(c_2706,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X3_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtpldt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1199]) ).
tcf(c_2707,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(xN),X0_iProver_smndt0_0),sdtasdt0(smndt0(xN),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1199]) ).
tcf(c_2708,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1199]) ).
tcf(c_2799,plain,
( aScalar0(smndt0(sz0z00))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_2576,c_1211]) ).
tcf(c_2811,plain,
( aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_2577,c_1211]) ).
tcf(c_2812,plain,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_2578,c_1211]) ).
tcf(c_2821,plain,
aScalar0(smndt0(sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_2799,c_56,c_143]) ).
tcf(c_2824,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),X0_iProver_smndt0_0),sdtasdt0(smndt0(sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1199]) ).
tcf(c_2825,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1198]) ).
tcf(c_2826,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1203]) ).
tcf(c_2827,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1201]) ).
tcf(c_2828,plain,
smndt0(smndt0(smndt0(smndt0(sz0z00)))) = smndt0(smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2367]) ).
tcf(c_2829,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1196]) ).
tcf(c_2830,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1195]) ).
tcf(c_2831,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1194]) ).
tcf(c_2832,plain,
sdtpldt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_2821,c_1206]) ).
tcf(c_2833,plain,
sdtpldt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_2821,c_1205]) ).
tcf(c_2872,plain,
( aScalar0(smndt0(xR))
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_2364,c_2811]) ).
tcf(c_2873,plain,
aScalar0(smndt0(xR)),
inference(global_subsumption_just,[status(thm)],[c_2872,c_125,c_2872]) ).
tcf(c_2875,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(xR),X0_iProver_smndt0_0),sdtasdt0(smndt0(xR),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1199]) ).
tcf(c_2876,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1198]) ).
tcf(c_2877,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1203]) ).
tcf(c_2878,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1201]) ).
tcf(c_2879,plain,
smndt0(smndt0(smndt0(smndt0(xR)))) = smndt0(smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2367]) ).
tcf(c_2880,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1196]) ).
tcf(c_2881,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1195]) ).
tcf(c_2882,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1194]) ).
tcf(c_2883,plain,
sdtpldt0(smndt0(xR),smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_2873,c_1206]) ).
tcf(c_2884,plain,
sdtpldt0(smndt0(smndt0(xR)),smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_2873,c_1205]) ).
tcf(c_2893,plain,
aScalar0(smndt0(xS)),
inference(global_subsumption_just,[status(thm)],[c_2812,c_129,c_2465]) ).
tcf(c_2895,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(xS),X0_iProver_smndt0_0),sdtasdt0(smndt0(xS),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1199]) ).
tcf(c_2896,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1198]) ).
tcf(c_2897,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1203]) ).
tcf(c_2898,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1201]) ).
tcf(c_2899,plain,
smndt0(smndt0(smndt0(smndt0(xS)))) = smndt0(smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2367]) ).
tcf(c_2900,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1196]) ).
tcf(c_2901,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1195]) ).
tcf(c_2902,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1194]) ).
tcf(c_2903,plain,
sdtpldt0(smndt0(xS),smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_2893,c_1206]) ).
tcf(c_2904,plain,
sdtpldt0(smndt0(smndt0(xS)),smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_2893,c_1205]) ).
tcf(c_2947,plain,
( aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ aScalar0(sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))) ),
inference(superposition,[status(thm)],[c_1133,c_1213]) ).
tcf(c_2948,plain,
( aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))) ),
inference(superposition,[status(thm)],[c_1134,c_1213]) ).
tcf(c_2949,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,X1_iProver_smndt0_0),sdtasdt0(sz0z00,X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sz0z00,X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2516,c_1197]) ).
tcf(c_2950,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1_iProver_smndt0_0),sdtasdt0(xR,X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(xR,X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1147,c_1197]) ).
tcf(c_2951,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,X1_iProver_smndt0_0),sdtasdt0(xS,X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(xS,X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1143,c_1197]) ).
tcf(c_2952,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,X1_iProver_smndt0_0),sdtasdt0(xN,X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(xN,X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1141,c_1197]) ).
tcf(c_2953,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),X1_iProver_smndt0_0),sdtasdt0(smndt0(sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2821,c_1197]) ).
tcf(c_2954,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(X0_iProver_smndt0_0),X2_iProver_smndt0_0),sdtasdt0(smndt0(X0_iProver_smndt0_0),X3_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0),sdtasdt0(X1_iProver_smndt0_0,X3_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(X0_iProver_smndt0_0),X1_iProver_smndt0_0),sdtpldt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0)) )
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_1197]) ).
tcf(c_2955,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0,X4_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X3_iProver_smndt0_0),sdtasdt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X4_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0),sdtasdt0(X2_iProver_smndt0_0,X4_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),sdtpldt0(X3_iProver_smndt0_0,X4_iProver_smndt0_0)) )
| ~ aScalar0(X4_iProver_smndt0_0)
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_1197]) ).
tcf(c_2956,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0,X3_iProver_smndt0_0: iProver_smndt0_0,X4_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X3_iProver_smndt0_0),sdtasdt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X4_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X2_iProver_smndt0_0,X3_iProver_smndt0_0),sdtasdt0(X2_iProver_smndt0_0,X4_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),X2_iProver_smndt0_0),sdtpldt0(X3_iProver_smndt0_0,X4_iProver_smndt0_0)) )
| ~ aScalar0(X4_iProver_smndt0_0)
| ~ aScalar0(X3_iProver_smndt0_0)
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_1197]) ).
tcf(c_2957,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),X1_iProver_smndt0_0),sdtasdt0(smndt0(xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2873,c_1197]) ).
tcf(c_2958,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),X1_iProver_smndt0_0),sdtasdt0(smndt0(xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2893,c_1197]) ).
tcf(c_2959,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),X1_iProver_smndt0_0),sdtasdt0(smndt0(xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_2548,c_1197]) ).
tcf(c_2960,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_1197]) ).
tcf(c_3035,plain,
( aScalar0(smndt0(smndt0(xN)))
| ~ aScalar0(smndt0(smndt0(smndt0(xN)))) ),
inference(superposition,[status(thm)],[c_2583,c_1211]) ).
tcf(c_3036,plain,
( aScalar0(smndt0(smndt0(sz0z00)))
| ~ aScalar0(smndt0(smndt0(smndt0(sz0z00)))) ),
inference(superposition,[status(thm)],[c_2828,c_1211]) ).
tcf(c_3037,plain,
( aScalar0(smndt0(smndt0(xR)))
| ~ aScalar0(smndt0(smndt0(smndt0(xR)))) ),
inference(superposition,[status(thm)],[c_2879,c_1211]) ).
tcf(c_3038,plain,
( aScalar0(smndt0(smndt0(xS)))
| ~ aScalar0(smndt0(smndt0(smndt0(xS)))) ),
inference(superposition,[status(thm)],[c_2899,c_1211]) ).
tcf(c_3040,plain,
( aScalar0(smndt0(smndt0(xN)))
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_2555,c_3035]) ).
tcf(c_3042,plain,
aScalar0(smndt0(smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_3040,c_129,c_125,c_2383,c_2465,c_3040]) ).
tcf(c_3045,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1197]) ).
tcf(c_3046,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1199]) ).
tcf(c_3047,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1198]) ).
tcf(c_3048,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1203]) ).
tcf(c_3049,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1201]) ).
tcf(c_3050,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2367]) ).
tcf(c_3051,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1196]) ).
tcf(c_3052,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1195]) ).
tcf(c_3053,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3042,c_1194]) ).
tcf(c_3054,plain,
sdtpldt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3042,c_1206]) ).
tcf(c_3055,plain,
sdtpldt0(smndt0(smndt0(smndt0(xN))),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_3042,c_1205]) ).
tcf(c_3096,plain,
( aScalar0(smndt0(smndt0(sz0z00)))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_2576,c_3036]) ).
tcf(c_3098,plain,
( aScalar0(smndt0(smndt0(sz0z00)))
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_1131,c_3036]) ).
tcf(c_3099,plain,
aScalar0(smndt0(smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_3098,c_56,c_3098]) ).
tcf(c_3103,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1197]) ).
tcf(c_3104,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1199]) ).
tcf(c_3105,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1198]) ).
tcf(c_3106,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1203]) ).
tcf(c_3107,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1201]) ).
tcf(c_3108,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2367]) ).
tcf(c_3109,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1196]) ).
tcf(c_3110,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1195]) ).
tcf(c_3111,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3099,c_1194]) ).
tcf(c_3112,plain,
sdtpldt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_3099,c_1206]) ).
tcf(c_3113,plain,
sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),smndt0(smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_3099,c_1205]) ).
tcf(c_3154,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(xR) ),
inference(instantiation,[status(thm)],[c_1212]) ).
tcf(c_3181,plain,
( aScalar0(smndt0(smndt0(xR)))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_2577,c_3037]) ).
tcf(c_3183,plain,
aScalar0(smndt0(smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_3181,c_125,c_2872,c_3181]) ).
tcf(c_3186,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1197]) ).
tcf(c_3187,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1199]) ).
tcf(c_3188,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1198]) ).
tcf(c_3189,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1203]) ).
tcf(c_3190,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1201]) ).
tcf(c_3191,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2367]) ).
tcf(c_3192,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1196]) ).
tcf(c_3193,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1195]) ).
tcf(c_3194,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3183,c_1194]) ).
tcf(c_3195,plain,
sdtpldt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_3183,c_1206]) ).
tcf(c_3196,plain,
sdtpldt0(smndt0(smndt0(smndt0(xR))),smndt0(smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_3183,c_1205]) ).
tcf(c_3243,plain,
( aScalar0(smndt0(smndt0(xS)))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2578,c_3038]) ).
tcf(c_3265,plain,
aScalar0(smndt0(smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_3243,c_129,c_2465,c_3243]) ).
tcf(c_3268,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1197]) ).
tcf(c_3269,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1199]) ).
tcf(c_3270,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1198]) ).
tcf(c_3271,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1203]) ).
tcf(c_3272,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1201]) ).
tcf(c_3273,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2367]) ).
tcf(c_3274,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1196]) ).
tcf(c_3275,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1195]) ).
tcf(c_3276,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3265,c_1194]) ).
tcf(c_3277,plain,
sdtpldt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_3265,c_1206]) ).
tcf(c_3278,plain,
sdtpldt0(smndt0(smndt0(smndt0(xS))),smndt0(smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_3265,c_1205]) ).
tcf(c_3369,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(smndt0(X0_iProver_smndt0_0))),smndt0(smndt0(X0_iProver_smndt0_0))) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2372]) ).
tcf(c_3370,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2372]) ).
tcf(c_3371,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2372]) ).
tcf(c_3375,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(sdtasdt0(xS,xS))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2372]) ).
tcf(c_3376,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xN)))),smndt0(smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_3042,c_2372]) ).
tcf(c_3377,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))),smndt0(smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_3099,c_2372]) ).
tcf(c_3378,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xR)))),smndt0(smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_3183,c_2372]) ).
tcf(c_3379,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xS)))),smndt0(smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_3265,c_2372]) ).
tcf(c_3408,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(X0_iProver_smndt0_0)),smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2380]) ).
tcf(c_3409,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2380]) ).
tcf(c_3410,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)),smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2380]) ).
tcf(c_3414,plain,
( ( sdtpldt0(smndt0(sdtasdt0(xS,xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00 )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2380]) ).
tcf(c_3415,plain,
sdtpldt0(smndt0(smndt0(smndt0(xN))),smndt0(smndt0(smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_3042,c_2380]) ).
tcf(c_3416,plain,
sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_3099,c_2380]) ).
tcf(c_3417,plain,
sdtpldt0(smndt0(smndt0(smndt0(xR))),smndt0(smndt0(smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_3183,c_2380]) ).
tcf(c_3418,plain,
sdtpldt0(smndt0(smndt0(smndt0(xS))),smndt0(smndt0(smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_3265,c_2380]) ).
tcf(c_3444,plain,
( aScalar0(smndt0(smndt0(smndt0(xN))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(xN))))) ),
inference(superposition,[status(thm)],[c_3050,c_1211]) ).
tcf(c_3445,plain,
( aScalar0(smndt0(smndt0(smndt0(sz0z00))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(sz0z00))))) ),
inference(superposition,[status(thm)],[c_3108,c_1211]) ).
tcf(c_3452,plain,
( aScalar0(smndt0(smndt0(smndt0(xR))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(xR))))) ),
inference(superposition,[status(thm)],[c_3191,c_1211]) ).
tcf(c_3453,plain,
( aScalar0(smndt0(smndt0(smndt0(xS))))
| ~ aScalar0(smndt0(smndt0(smndt0(smndt0(xS))))) ),
inference(superposition,[status(thm)],[c_3273,c_1211]) ).
tcf(c_3473,plain,
( aScalar0(smndt0(smndt0(smndt0(xN))))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_2583,c_3444]) ).
tcf(c_3475,plain,
( aScalar0(smndt0(smndt0(smndt0(xN))))
| ~ aScalar0(xN) ),
inference(superposition,[status(thm)],[c_2366,c_3444]) ).
tcf(c_3498,plain,
( aScalar0(smndt0(smndt0(smndt0(sz0z00))))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_2828,c_3445]) ).
tcf(c_3500,plain,
( aScalar0(smndt0(smndt0(smndt0(sz0z00))))
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2523,c_3445]) ).
tcf(c_3503,plain,
( aScalar0(smndt0(smndt0(smndt0(xR))))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_2879,c_3452]) ).
tcf(c_3505,plain,
( aScalar0(smndt0(smndt0(smndt0(xR))))
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_2364,c_3452]) ).
tcf(c_3507,plain,
( aScalar0(smndt0(smndt0(smndt0(xS))))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_2899,c_3453]) ).
tcf(c_3509,plain,
( aScalar0(smndt0(smndt0(smndt0(xS))))
| ~ aScalar0(xS) ),
inference(superposition,[status(thm)],[c_2365,c_3453]) ).
tcf(c_3510,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2423]) ).
tcf(c_3511,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_1147,c_2423]) ).
tcf(c_3512,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_1143,c_2423]) ).
tcf(c_3513,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_1141,c_2423]) ).
tcf(c_3514,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2423]) ).
tcf(c_3515,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(xR,smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2423]) ).
tcf(c_3516,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(xR,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2423]) ).
tcf(c_3517,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(xR,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2423]) ).
tcf(c_3518,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xR))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2423]) ).
tcf(c_3519,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xS))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2423]) ).
tcf(c_3520,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xN))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2423]) ).
tcf(c_3521,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xR,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2423]) ).
tcf(c_3522,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2423]) ).
tcf(c_3523,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(xR,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2423]) ).
tcf(c_3524,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2423]) ).
tcf(c_3525,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2423]) ).
tcf(c_3604,plain,
aScalar0(smndt0(smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_3475,c_131,c_3475]) ).
tcf(c_3608,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2423]) ).
tcf(c_3609,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xN)))),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3604,c_2380]) ).
tcf(c_3610,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_3604,c_2372]) ).
tcf(c_3611,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(xN))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1197]) ).
tcf(c_3612,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(xN))),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1199]) ).
tcf(c_3613,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1198]) ).
tcf(c_3614,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1203]) ).
tcf(c_3615,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(smndt0(xN))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1201]) ).
tcf(c_3616,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = smndt0(smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2367]) ).
tcf(c_3617,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1196]) ).
tcf(c_3618,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(xN)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1195]) ).
tcf(c_3619,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(xN)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(xN))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3604,c_1194]) ).
tcf(c_3671,plain,
aScalar0(smndt0(smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_3500,c_56,c_3500]) ).
tcf(c_3676,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2423]) ).
tcf(c_3677,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3671,c_2380]) ).
tcf(c_3678,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_3671,c_2372]) ).
tcf(c_3679,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1197]) ).
tcf(c_3680,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1199]) ).
tcf(c_3681,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1198]) ).
tcf(c_3682,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1203]) ).
tcf(c_3683,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1201]) ).
tcf(c_3684,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = smndt0(smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2367]) ).
tcf(c_3685,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1196]) ).
tcf(c_3686,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1195]) ).
tcf(c_3687,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3671,c_1194]) ).
tcf(c_3735,plain,
aScalar0(smndt0(smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_3505,c_125,c_3505]) ).
tcf(c_3739,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2423]) ).
tcf(c_3740,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xR)))),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3735,c_2380]) ).
tcf(c_3741,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_3735,c_2372]) ).
tcf(c_3742,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(xR))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1197]) ).
tcf(c_3743,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(xR))),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1199]) ).
tcf(c_3744,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1198]) ).
tcf(c_3745,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1203]) ).
tcf(c_3746,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(smndt0(xR))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1201]) ).
tcf(c_3747,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = smndt0(smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2367]) ).
tcf(c_3748,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1196]) ).
tcf(c_3749,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(xR)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1195]) ).
tcf(c_3750,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(xR)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(xR))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3735,c_1194]) ).
tcf(c_3782,plain,
aScalar0(smndt0(smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_3509,c_129,c_3509]) ).
tcf(c_3786,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2423]) ).
tcf(c_3787,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(xS)))),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3782,c_2380]) ).
tcf(c_3788,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_3782,c_2372]) ).
tcf(c_3789,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(xS))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1197]) ).
tcf(c_3790,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtasdt0(smndt0(smndt0(smndt0(xS))),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1199]) ).
tcf(c_3791,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1198]) ).
tcf(c_3792,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1203]) ).
tcf(c_3793,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(smndt0(smndt0(xS))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1201]) ).
tcf(c_3794,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = smndt0(smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2367]) ).
tcf(c_3795,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1196]) ).
tcf(c_3796,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(xS)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1195]) ).
tcf(c_3797,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(smndt0(smndt0(xS)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(smndt0(smndt0(xS))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3782,c_1194]) ).
tcf(c_3835,plain,
sdtasdt0(smndt0(xR),sz0z00) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_1131,c_3510]) ).
tcf(c_3836,plain,
( aScalar0(sdtasdt0(xR,sz0z00))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_3510,c_1212]) ).
tcf(c_3837,plain,
( aScalar0(sdtasdt0(xR,sz0z00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3835,c_1212]) ).
tcf(c_3838,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3511,c_1212]) ).
tcf(c_3851,plain,
aScalar0(sdtasdt0(xR,xR)),
inference(global_subsumption_just,[status(thm)],[c_3838,c_125,c_3154]) ).
tcf(c_3853,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xR,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2423]) ).
tcf(c_3854,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xR)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_3851,c_2380]) ).
tcf(c_3855,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xR))),smndt0(sdtasdt0(xR,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_3851,c_2372]) ).
tcf(c_3856,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1197]) ).
tcf(c_3857,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1199]) ).
tcf(c_3858,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1198]) ).
tcf(c_3859,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1203]) ).
tcf(c_3860,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1201]) ).
tcf(c_3861,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2367]) ).
tcf(c_3862,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1196]) ).
tcf(c_3863,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1195]) ).
tcf(c_3864,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3851,c_1194]) ).
tcf(c_3865,plain,
sdtpldt0(sdtasdt0(xR,xR),smndt0(sdtasdt0(xR,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_3851,c_1206]) ).
tcf(c_3866,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xR)),sdtasdt0(xR,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_3851,c_1205]) ).
tcf(c_3867,plain,
smndt0(smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_3851,c_1204]) ).
tcf(c_3917,plain,
( aScalar0(sdtasdt0(xR,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3512,c_1212]) ).
tcf(c_3918,plain,
( aScalar0(sdtasdt0(xR,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3513,c_1212]) ).
tcf(c_3940,plain,
aScalar0(sdtasdt0(xR,sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_3837,c_125,c_56,c_143,c_2872,c_3836]) ).
tcf(c_3942,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xR,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2423]) ).
tcf(c_3943,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_3940,c_2380]) ).
tcf(c_3944,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_3940,c_2372]) ).
tcf(c_3945,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1197]) ).
tcf(c_3946,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1199]) ).
tcf(c_3947,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1198]) ).
tcf(c_3948,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1203]) ).
tcf(c_3949,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1201]) ).
tcf(c_3950,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2367]) ).
tcf(c_3951,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1196]) ).
tcf(c_3952,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1195]) ).
tcf(c_3953,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_3940,c_1194]) ).
tcf(c_3954,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_3940,c_1206]) ).
tcf(c_3955,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_3940,c_1205]) ).
tcf(c_3956,plain,
smndt0(smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_3940,c_1204]) ).
tcf(c_3978,plain,
sdtasdt0(smndt0(xR),sz0z00) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2523,c_3514]) ).
tcf(c_3980,plain,
( aScalar0(sdtasdt0(xR,smndt0(sz0z00)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_3514,c_1212]) ).
tcf(c_3982,plain,
( aScalar0(sdtasdt0(xR,smndt0(sz0z00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3978,c_1212]) ).
tcf(c_3983,plain,
sdtasdt0(xR,smndt0(sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_3978,c_3835]) ).
tcf(c_4004,plain,
sdtasdt0(smndt0(xR),xR) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_2364,c_3518]) ).
tcf(c_4005,plain,
( aScalar0(sdtasdt0(xR,smndt0(xR)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_3518,c_1212]) ).
tcf(c_4006,plain,
( aScalar0(sdtasdt0(xR,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4004,c_1212]) ).
tcf(c_4007,plain,
sdtasdt0(smndt0(xR),xS) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_2365,c_3519]) ).
tcf(c_4008,plain,
( aScalar0(sdtasdt0(xR,smndt0(xS)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_3519,c_1212]) ).
tcf(c_4009,plain,
( aScalar0(sdtasdt0(xR,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4007,c_1212]) ).
tcf(c_4012,plain,
aScalar0(sdtasdt0(xR,xS)),
inference(global_subsumption_just,[status(thm)],[c_3917,c_129,c_125,c_2465,c_2872,c_3917]) ).
tcf(c_4015,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2423]) ).
tcf(c_4016,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xS)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4012,c_2380]) ).
tcf(c_4017,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xS))),smndt0(sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4012,c_2372]) ).
tcf(c_4018,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1197]) ).
tcf(c_4019,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1199]) ).
tcf(c_4020,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1198]) ).
tcf(c_4021,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1203]) ).
tcf(c_4022,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1201]) ).
tcf(c_4023,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2367]) ).
tcf(c_4024,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1196]) ).
tcf(c_4025,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1195]) ).
tcf(c_4026,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4012,c_1194]) ).
tcf(c_4027,plain,
sdtpldt0(sdtasdt0(xR,xS),smndt0(sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4012,c_1206]) ).
tcf(c_4028,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xS)),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_4012,c_1205]) ).
tcf(c_4029,plain,
smndt0(smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_4012,c_1204]) ).
tcf(c_4106,plain,
sdtasdt0(smndt0(xR),xN) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_2366,c_3520]) ).
tcf(c_4107,plain,
( aScalar0(sdtasdt0(xR,smndt0(xN)))
| ~ aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_3520,c_1212]) ).
tcf(c_4108,plain,
( aScalar0(sdtasdt0(xR,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4106,c_1212]) ).
tcf(c_4109,plain,
( aScalar0(smndt0(sdtasdt0(xR,xR)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,xR)))) ),
inference(superposition,[status(thm)],[c_3861,c_1211]) ).
tcf(c_4110,plain,
aScalar0(sdtasdt0(xR,xN)),
inference(global_subsumption_just,[status(thm)],[c_3918,c_129,c_125,c_2383,c_2465,c_2872,c_3918]) ).
tcf(c_4112,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xR,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2423]) ).
tcf(c_4113,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xN)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4110,c_2380]) ).
tcf(c_4114,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xN))),smndt0(sdtasdt0(xR,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_4110,c_2372]) ).
tcf(c_4115,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1197]) ).
tcf(c_4116,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1199]) ).
tcf(c_4117,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1198]) ).
tcf(c_4118,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1203]) ).
tcf(c_4119,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1201]) ).
tcf(c_4120,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2367]) ).
tcf(c_4121,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1196]) ).
tcf(c_4122,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1195]) ).
tcf(c_4123,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4110,c_1194]) ).
tcf(c_4124,plain,
sdtpldt0(sdtasdt0(xR,xN),smndt0(sdtasdt0(xR,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_4110,c_1206]) ).
tcf(c_4125,plain,
sdtpldt0(smndt0(sdtasdt0(xR,xN)),sdtasdt0(xR,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_4110,c_1205]) ).
tcf(c_4126,plain,
smndt0(smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_4110,c_1204]) ).
tcf(c_4204,plain,
( aScalar0(smndt0(sdtasdt0(xR,sz0z00)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))) ),
inference(superposition,[status(thm)],[c_3950,c_1211]) ).
tcf(c_4205,plain,
aScalar0(sdtasdt0(xR,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_3982,c_125,c_56,c_2872,c_3098,c_3980]) ).
tcf(c_4209,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2423]) ).
tcf(c_4210,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4205,c_2380]) ).
tcf(c_4211,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4205,c_2372]) ).
tcf(c_4212,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1197]) ).
tcf(c_4213,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1199]) ).
tcf(c_4214,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1198]) ).
tcf(c_4215,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1203]) ).
tcf(c_4216,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1201]) ).
tcf(c_4217,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2367]) ).
tcf(c_4218,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1196]) ).
tcf(c_4219,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1195]) ).
tcf(c_4220,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4205,c_1194]) ).
tcf(c_4221,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4205,c_1206]) ).
tcf(c_4222,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_4205,c_1205]) ).
tcf(c_4223,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_4205,c_1204]) ).
tcf(c_4280,plain,
aScalar0(sdtasdt0(xR,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_4006,c_125,c_2872,c_3181,c_4005]) ).
tcf(c_4282,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2423]) ).
tcf(c_4283,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xR))),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4280,c_2380]) ).
tcf(c_4284,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))),smndt0(sdtasdt0(xR,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_4280,c_2372]) ).
tcf(c_4285,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1197]) ).
tcf(c_4286,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1199]) ).
tcf(c_4287,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1198]) ).
tcf(c_4288,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1203]) ).
tcf(c_4289,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1201]) ).
tcf(c_4290,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2367]) ).
tcf(c_4291,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1196]) ).
tcf(c_4292,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1195]) ).
tcf(c_4293,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4280,c_1194]) ).
tcf(c_4294,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_4280,c_1206]) ).
tcf(c_4295,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xR))),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_4280,c_1205]) ).
tcf(c_4296,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_4280,c_1204]) ).
tcf(c_4381,plain,
aScalar0(sdtasdt0(xR,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_4009,c_129,c_125,c_2465,c_2872,c_3243,c_4008]) ).
tcf(c_4384,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2423]) ).
tcf(c_4385,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xS))),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4381,c_2380]) ).
tcf(c_4386,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))),smndt0(sdtasdt0(xR,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4381,c_2372]) ).
tcf(c_4387,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1197]) ).
tcf(c_4388,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1199]) ).
tcf(c_4389,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1198]) ).
tcf(c_4390,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1203]) ).
tcf(c_4391,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1201]) ).
tcf(c_4392,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2367]) ).
tcf(c_4393,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1196]) ).
tcf(c_4394,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1195]) ).
tcf(c_4395,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4381,c_1194]) ).
tcf(c_4396,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4381,c_1206]) ).
tcf(c_4397,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xS))),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4381,c_1205]) ).
tcf(c_4398,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_4381,c_1204]) ).
tcf(c_4478,plain,
aScalar0(sdtasdt0(xR,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_4108,c_129,c_125,c_2383,c_2465,c_2872,c_3040,c_4107]) ).
tcf(c_4480,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2423]) ).
tcf(c_4481,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xN))),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4478,c_2380]) ).
tcf(c_4482,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))),smndt0(sdtasdt0(xR,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4478,c_2372]) ).
tcf(c_4483,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1197]) ).
tcf(c_4484,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1199]) ).
tcf(c_4485,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1198]) ).
tcf(c_4486,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1203]) ).
tcf(c_4487,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1201]) ).
tcf(c_4488,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2367]) ).
tcf(c_4489,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1196]) ).
tcf(c_4490,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1195]) ).
tcf(c_4491,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4478,c_1194]) ).
tcf(c_4492,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4478,c_1206]) ).
tcf(c_4493,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(xN))),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_4478,c_1205]) ).
tcf(c_4494,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_4478,c_1204]) ).
tcf(c_4579,plain,
( aScalar0(smndt0(sdtasdt0(xR,xR)))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(superposition,[status(thm)],[c_3867,c_4109]) ).
tcf(c_4581,plain,
( aScalar0(smndt0(sdtasdt0(xR,sz0z00)))
| ~ aScalar0(sdtasdt0(xR,sz0z00)) ),
inference(superposition,[status(thm)],[c_3956,c_4204]) ).
tcf(c_4622,plain,
aScalar0(smndt0(sdtasdt0(xR,xR))),
inference(global_subsumption_just,[status(thm)],[c_4579,c_125,c_3154,c_4579]) ).
tcf(c_4624,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2423]) ).
tcf(c_4625,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xR))),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4622,c_2380]) ).
tcf(c_4626,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))),smndt0(smndt0(sdtasdt0(xR,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_4622,c_2372]) ).
tcf(c_4627,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xR)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1197]) ).
tcf(c_4628,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,xR)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1199]) ).
tcf(c_4629,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1198]) ).
tcf(c_4630,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xR,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1203]) ).
tcf(c_4631,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xR,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1201]) ).
tcf(c_4632,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = smndt0(smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2367]) ).
tcf(c_4633,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1196]) ).
tcf(c_4634,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1195]) ).
tcf(c_4635,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4622,c_1194]) ).
tcf(c_4735,plain,
aScalar0(smndt0(sdtasdt0(xR,sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_4581,c_125,c_56,c_143,c_2872,c_3836,c_4581]) ).
tcf(c_4737,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2423]) ).
tcf(c_4738,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4735,c_2380]) ).
tcf(c_4739,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_4735,c_2372]) ).
tcf(c_4740,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1197]) ).
tcf(c_4741,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1199]) ).
tcf(c_4742,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1198]) ).
tcf(c_4743,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1203]) ).
tcf(c_4744,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1201]) ).
tcf(c_4745,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = smndt0(smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2367]) ).
tcf(c_4746,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1196]) ).
tcf(c_4747,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1195]) ).
tcf(c_4748,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4735,c_1194]) ).
tcf(c_4784,plain,
( aScalar0(smndt0(sdtasdt0(xR,xS)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,xS)))) ),
inference(superposition,[status(thm)],[c_4023,c_1211]) ).
tcf(c_4794,plain,
( aScalar0(smndt0(sdtasdt0(xR,xN)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xR,xN)))) ),
inference(superposition,[status(thm)],[c_4120,c_1211]) ).
tcf(c_4800,plain,
( aScalar0(smndt0(sdtasdt0(xR,xS)))
| ~ aScalar0(sdtasdt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4029,c_4784]) ).
tcf(c_4801,plain,
( aScalar0(smndt0(sdtasdt0(xR,xS)))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_1140,c_4784]) ).
tcf(c_4802,plain,
aScalar0(smndt0(sdtasdt0(xR,xS))),
inference(global_subsumption_just,[status(thm)],[c_4800,c_129,c_125,c_2383,c_2465,c_3040,c_4801]) ).
tcf(c_4805,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2423]) ).
tcf(c_4806,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xS))),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4802,c_2380]) ).
tcf(c_4807,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))),smndt0(smndt0(sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_4802,c_2372]) ).
tcf(c_4808,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1197]) ).
tcf(c_4809,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,xS)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1199]) ).
tcf(c_4810,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1198]) ).
tcf(c_4811,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1203]) ).
tcf(c_4812,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xR,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1201]) ).
tcf(c_4813,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = smndt0(smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2367]) ).
tcf(c_4814,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1196]) ).
tcf(c_4815,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1195]) ).
tcf(c_4816,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4802,c_1194]) ).
tcf(c_4893,plain,
( aScalar0(smndt0(sdtasdt0(xR,xN)))
| ~ aScalar0(sdtasdt0(xR,xN)) ),
inference(superposition,[status(thm)],[c_4126,c_4794]) ).
tcf(c_4894,plain,
aScalar0(smndt0(sdtasdt0(xR,xN))),
inference(global_subsumption_just,[status(thm)],[c_4893,c_129,c_125,c_2383,c_2465,c_2872,c_3918,c_4893]) ).
tcf(c_4896,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2423]) ).
tcf(c_4897,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,xN))),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4894,c_2380]) ).
tcf(c_4898,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))),smndt0(smndt0(sdtasdt0(xR,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_4894,c_2372]) ).
tcf(c_4899,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xN)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1197]) ).
tcf(c_4900,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xR,xN)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1199]) ).
tcf(c_4901,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xR,xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1198]) ).
tcf(c_4902,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xR,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1203]) ).
tcf(c_4903,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xR,xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1201]) ).
tcf(c_4904,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = smndt0(smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2367]) ).
tcf(c_4905,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1196]) ).
tcf(c_4906,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1195]) ).
tcf(c_4907,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xR,xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xR,xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_4894,c_1194]) ).
tcf(c_4953,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2424]) ).
tcf(c_4954,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_1147,c_2424]) ).
tcf(c_4956,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_1141,c_2424]) ).
tcf(c_4957,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2424]) ).
tcf(c_4958,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(xS,smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2424]) ).
tcf(c_4959,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(xS,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2424]) ).
tcf(c_4960,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(xS,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2424]) ).
tcf(c_4961,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xR))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2424]) ).
tcf(c_4962,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2424]) ).
tcf(c_4963,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xN))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2424]) ).
tcf(c_4964,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2424]) ).
tcf(c_4965,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2424]) ).
tcf(c_4966,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xS,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2424]) ).
tcf(c_4967,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(xS,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2424]) ).
tcf(c_4968,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2424]) ).
tcf(c_4969,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(xS,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2424]) ).
tcf(c_4970,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2424]) ).
tcf(c_4971,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2424]) ).
tcf(c_4972,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2424]) ).
tcf(c_4973,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2424]) ).
tcf(c_4974,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xS,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2424]) ).
tcf(c_4975,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xS,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2424]) ).
tcf(c_4976,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xS,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2424]) ).
tcf(c_4977,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2424]) ).
tcf(c_4978,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2424]) ).
tcf(c_4979,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2424]) ).
tcf(c_4980,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2424]) ).
tcf(c_4981,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2424]) ).
tcf(c_4982,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2424]) ).
tcf(c_4983,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2424]) ).
tcf(c_4984,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2424]) ).
tcf(c_5088,plain,
( aScalar0(sdtasdt0(xS,xR))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_4954,c_1212]) ).
tcf(c_5096,plain,
( aScalar0(sdtasdt0(xS,xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_4956,c_1212]) ).
tcf(c_5104,plain,
aScalar0(sdtasdt0(xS,xR)),
inference(global_subsumption_just,[status(thm)],[c_5088,c_129,c_125,c_2465,c_2872,c_5088]) ).
tcf(c_5106,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2424]) ).
tcf(c_5107,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2423]) ).
tcf(c_5108,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xR)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5104,c_2380]) ).
tcf(c_5109,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xR))),smndt0(sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_5104,c_2372]) ).
tcf(c_5110,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1197]) ).
tcf(c_5111,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1199]) ).
tcf(c_5112,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1198]) ).
tcf(c_5113,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1203]) ).
tcf(c_5114,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1201]) ).
tcf(c_5115,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2367]) ).
tcf(c_5116,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1196]) ).
tcf(c_5117,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1195]) ).
tcf(c_5118,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5104,c_1194]) ).
tcf(c_5119,plain,
sdtpldt0(sdtasdt0(xS,xR),smndt0(sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_5104,c_1206]) ).
tcf(c_5120,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xR)),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_5104,c_1205]) ).
tcf(c_5121,plain,
smndt0(smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_5104,c_1204]) ).
tcf(c_5189,plain,
sdtasdt0(smndt0(xS),sz0z00) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_1131,c_4953]) ).
tcf(c_5190,plain,
( aScalar0(sdtasdt0(xS,sz0z00))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_4953,c_1212]) ).
tcf(c_5198,plain,
( aScalar0(sdtasdt0(xS,sz0z00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5189,c_1212]) ).
tcf(c_5244,plain,
aScalar0(sdtasdt0(xS,sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_5198,c_129,c_56,c_143,c_2465,c_5190]) ).
tcf(c_5246,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xS,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2424]) ).
tcf(c_5247,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xR,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2423]) ).
tcf(c_5248,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5244,c_2380]) ).
tcf(c_5249,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))),smndt0(sdtasdt0(xS,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5244,c_2372]) ).
tcf(c_5250,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1197]) ).
tcf(c_5251,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1199]) ).
tcf(c_5252,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1198]) ).
tcf(c_5253,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1203]) ).
tcf(c_5254,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1201]) ).
tcf(c_5255,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2367]) ).
tcf(c_5256,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1196]) ).
tcf(c_5257,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1195]) ).
tcf(c_5258,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5244,c_1194]) ).
tcf(c_5259,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5244,c_1206]) ).
tcf(c_5260,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_5244,c_1205]) ).
tcf(c_5261,plain,
smndt0(smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5244,c_1204]) ).
tcf(c_5340,plain,
sdtasdt0(smndt0(xS),sz0z00) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2523,c_4957]) ).
tcf(c_5342,plain,
( aScalar0(sdtasdt0(xS,smndt0(sz0z00)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_4957,c_1212]) ).
tcf(c_5344,plain,
( aScalar0(sdtasdt0(xS,smndt0(sz0z00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5340,c_1212]) ).
tcf(c_5345,plain,
sdtasdt0(xS,smndt0(sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5340,c_5189]) ).
tcf(c_5347,plain,
aScalar0(sdtasdt0(xS,xN)),
inference(global_subsumption_just,[status(thm)],[c_5096,c_129,c_125,c_2383,c_2465,c_5096]) ).
tcf(c_5349,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xS,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2424]) ).
tcf(c_5350,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xR,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2423]) ).
tcf(c_5351,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xN)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5347,c_2380]) ).
tcf(c_5352,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xN))),smndt0(sdtasdt0(xS,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_5347,c_2372]) ).
tcf(c_5353,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1197]) ).
tcf(c_5354,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1199]) ).
tcf(c_5355,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1198]) ).
tcf(c_5356,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1203]) ).
tcf(c_5357,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1201]) ).
tcf(c_5358,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2367]) ).
tcf(c_5359,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1196]) ).
tcf(c_5360,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1195]) ).
tcf(c_5361,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5347,c_1194]) ).
tcf(c_5362,plain,
sdtpldt0(sdtasdt0(xS,xN),smndt0(sdtasdt0(xS,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_5347,c_1206]) ).
tcf(c_5363,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xN)),sdtasdt0(xS,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_5347,c_1205]) ).
tcf(c_5364,plain,
smndt0(smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_5347,c_1204]) ).
tcf(c_5400,plain,
sdtasdt0(smndt0(xS),xR) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_2364,c_4961]) ).
tcf(c_5401,plain,
( aScalar0(sdtasdt0(xS,smndt0(xR)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_4961,c_1212]) ).
tcf(c_5402,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(superposition,[status(thm)],[c_1136,c_5400]) ).
tcf(c_5404,plain,
( aScalar0(sdtasdt0(xS,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5400,c_1212]) ).
tcf(c_5417,plain,
sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_2365,c_4962]) ).
tcf(c_5418,plain,
( aScalar0(sdtasdt0(xS,smndt0(xS)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_4962,c_1212]) ).
tcf(c_5419,plain,
( aScalar0(sdtasdt0(xS,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5417,c_1212]) ).
tcf(c_5420,plain,
sdtasdt0(smndt0(xS),xN) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_2366,c_4963]) ).
tcf(c_5421,plain,
( aScalar0(sdtasdt0(xS,smndt0(xN)))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_4963,c_1212]) ).
tcf(c_5459,plain,
( aScalar0(sdtasdt0(xS,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_5420,c_1212]) ).
tcf(c_5476,plain,
( aScalar0(smndt0(sdtasdt0(xS,xR)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,xR)))) ),
inference(superposition,[status(thm)],[c_5115,c_1211]) ).
tcf(c_5492,plain,
( aScalar0(smndt0(sdtasdt0(xS,sz0z00)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))) ),
inference(superposition,[status(thm)],[c_5255,c_1211]) ).
tcf(c_5493,plain,
aScalar0(sdtasdt0(xS,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_5344,c_129,c_56,c_2465,c_3098,c_5342]) ).
tcf(c_5497,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2424]) ).
tcf(c_5498,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2423]) ).
tcf(c_5499,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5493,c_2380]) ).
tcf(c_5500,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5493,c_2372]) ).
tcf(c_5501,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1197]) ).
tcf(c_5502,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1199]) ).
tcf(c_5503,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1198]) ).
tcf(c_5504,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1203]) ).
tcf(c_5505,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1201]) ).
tcf(c_5506,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2367]) ).
tcf(c_5507,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1196]) ).
tcf(c_5508,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1195]) ).
tcf(c_5509,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5493,c_1194]) ).
tcf(c_5510,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5493,c_1206]) ).
tcf(c_5511,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5493,c_1205]) ).
tcf(c_5512,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_5493,c_1204]) ).
tcf(c_5557,plain,
( aScalar0(sdtasdt0(smndt0(xS),xR))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1212]) ).
tcf(c_5585,plain,
( aScalar0(smndt0(sdtasdt0(xS,xN)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,xN)))) ),
inference(superposition,[status(thm)],[c_5358,c_1211]) ).
tcf(c_5588,plain,
aScalar0(sdtasdt0(xS,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_5404,c_129,c_125,c_2465,c_2872,c_3181,c_5401]) ).
tcf(c_5591,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2424]) ).
tcf(c_5592,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2423]) ).
tcf(c_5593,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xR))),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5588,c_2380]) ).
tcf(c_5594,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))),smndt0(sdtasdt0(xS,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5588,c_2372]) ).
tcf(c_5595,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1197]) ).
tcf(c_5596,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1199]) ).
tcf(c_5597,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1198]) ).
tcf(c_5598,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1203]) ).
tcf(c_5599,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1201]) ).
tcf(c_5600,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2367]) ).
tcf(c_5601,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1196]) ).
tcf(c_5602,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1195]) ).
tcf(c_5603,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5588,c_1194]) ).
tcf(c_5604,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5588,c_1206]) ).
tcf(c_5605,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xR))),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_5588,c_1205]) ).
tcf(c_5606,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_5588,c_1204]) ).
tcf(c_5668,plain,
aScalar0(sdtasdt0(xS,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_5419,c_129,c_2465,c_3243,c_5418]) ).
tcf(c_5670,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2424]) ).
tcf(c_5671,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2423]) ).
tcf(c_5672,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xS))),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_5668,c_2380]) ).
tcf(c_5673,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))),smndt0(sdtasdt0(xS,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_5668,c_2372]) ).
tcf(c_5674,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1197]) ).
tcf(c_5675,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1199]) ).
tcf(c_5676,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1198]) ).
tcf(c_5677,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1203]) ).
tcf(c_5678,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1201]) ).
tcf(c_5679,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2367]) ).
tcf(c_5680,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1196]) ).
tcf(c_5681,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1195]) ).
tcf(c_5682,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5668,c_1194]) ).
tcf(c_5683,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_5668,c_1206]) ).
tcf(c_5684,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xS))),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_5668,c_1205]) ).
tcf(c_5685,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_5668,c_1204]) ).
tcf(c_5764,plain,
aScalar0(sdtasdt0(xS,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_5459,c_129,c_125,c_2383,c_2465,c_3040,c_5421]) ).
tcf(c_5766,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2424]) ).
tcf(c_5767,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2423]) ).
tcf(c_5768,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xN))),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_5764,c_2380]) ).
tcf(c_5769,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))),smndt0(sdtasdt0(xS,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5764,c_2372]) ).
tcf(c_5770,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1197]) ).
tcf(c_5771,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1199]) ).
tcf(c_5772,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1198]) ).
tcf(c_5773,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1203]) ).
tcf(c_5774,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1201]) ).
tcf(c_5775,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2367]) ).
tcf(c_5776,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1196]) ).
tcf(c_5777,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1195]) ).
tcf(c_5778,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5764,c_1194]) ).
tcf(c_5779,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5764,c_1206]) ).
tcf(c_5780,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(xN))),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_5764,c_1205]) ).
tcf(c_5781,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_5764,c_1204]) ).
tcf(c_5862,plain,
( aScalar0(smndt0(sdtasdt0(xS,xR)))
| ~ aScalar0(sdtasdt0(xS,xR)) ),
inference(superposition,[status(thm)],[c_5121,c_5476]) ).
tcf(c_5863,plain,
aScalar0(smndt0(sdtasdt0(xS,xR))),
inference(global_subsumption_just,[status(thm)],[c_5862,c_129,c_125,c_2465,c_2872,c_5088,c_5862]) ).
tcf(c_5865,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2424]) ).
tcf(c_5866,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2423]) ).
tcf(c_5867,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xR))),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5863,c_2380]) ).
tcf(c_5868,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))),smndt0(smndt0(sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_5863,c_2372]) ).
tcf(c_5869,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1197]) ).
tcf(c_5870,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,xR)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1199]) ).
tcf(c_5871,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1198]) ).
tcf(c_5872,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1203]) ).
tcf(c_5873,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xS,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1201]) ).
tcf(c_5874,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = smndt0(smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2367]) ).
tcf(c_5875,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1196]) ).
tcf(c_5876,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1195]) ).
tcf(c_5877,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5863,c_1194]) ).
tcf(c_5918,plain,
( aScalar0(smndt0(sdtasdt0(xS,sz0z00)))
| ~ aScalar0(sdtasdt0(xS,sz0z00)) ),
inference(superposition,[status(thm)],[c_5261,c_5492]) ).
tcf(c_5919,plain,
aScalar0(smndt0(sdtasdt0(xS,sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_5918,c_129,c_56,c_143,c_2465,c_5190,c_5918]) ).
tcf(c_5921,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2424]) ).
tcf(c_5922,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2423]) ).
tcf(c_5923,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5919,c_2380]) ).
tcf(c_5924,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_5919,c_2372]) ).
tcf(c_5925,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1197]) ).
tcf(c_5926,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1199]) ).
tcf(c_5927,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1198]) ).
tcf(c_5928,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1203]) ).
tcf(c_5929,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1201]) ).
tcf(c_5930,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = smndt0(smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2367]) ).
tcf(c_5931,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1196]) ).
tcf(c_5932,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1195]) ).
tcf(c_5933,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5919,c_1194]) ).
tcf(c_5982,plain,
( aScalar0(smndt0(sdtasdt0(xS,xN)))
| ~ aScalar0(sdtasdt0(xS,xN)) ),
inference(superposition,[status(thm)],[c_5364,c_5585]) ).
tcf(c_5983,plain,
aScalar0(smndt0(sdtasdt0(xS,xN))),
inference(global_subsumption_just,[status(thm)],[c_5982,c_129,c_125,c_2383,c_2465,c_5096,c_5982]) ).
tcf(c_5985,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2424]) ).
tcf(c_5986,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2423]) ).
tcf(c_5987,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xN))),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_5983,c_2380]) ).
tcf(c_5988,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))),smndt0(smndt0(sdtasdt0(xS,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_5983,c_2372]) ).
tcf(c_5989,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xN)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1197]) ).
tcf(c_5990,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,xN)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1199]) ).
tcf(c_5991,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1198]) ).
tcf(c_5992,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xS,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1203]) ).
tcf(c_5993,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xS,xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1201]) ).
tcf(c_5994,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = smndt0(smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2367]) ).
tcf(c_5995,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1196]) ).
tcf(c_5996,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1195]) ).
tcf(c_5997,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_5983,c_1194]) ).
tcf(c_6063,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2425]) ).
tcf(c_6064,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_1147,c_2425]) ).
tcf(c_6065,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_1143,c_2425]) ).
tcf(c_6066,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_1141,c_2425]) ).
tcf(c_6067,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2425]) ).
tcf(c_6068,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(xN,smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2425]) ).
tcf(c_6069,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(xN,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2425]) ).
tcf(c_6070,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(xN,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2425]) ).
tcf(c_6071,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xR))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2425]) ).
tcf(c_6072,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xS))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2425]) ).
tcf(c_6073,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xN))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2425]) ).
tcf(c_6074,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xN,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2425]) ).
tcf(c_6075,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2425]) ).
tcf(c_6076,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(xN,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2425]) ).
tcf(c_6077,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2425]) ).
tcf(c_6078,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2425]) ).
tcf(c_6079,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2425]) ).
tcf(c_6080,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2425]) ).
tcf(c_6081,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2425]) ).
tcf(c_6082,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2425]) ).
tcf(c_6083,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2425]) ).
tcf(c_6084,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xN,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2425]) ).
tcf(c_6085,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2425]) ).
tcf(c_6086,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(xN,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2425]) ).
tcf(c_6087,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2425]) ).
tcf(c_6088,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2425]) ).
tcf(c_6089,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2425]) ).
tcf(c_6090,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2425]) ).
tcf(c_6091,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2425]) ).
tcf(c_6092,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2425]) ).
tcf(c_6093,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2425]) ).
tcf(c_6094,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2425]) ).
tcf(c_6095,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2425]) ).
tcf(c_6096,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(xN,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2425]) ).
tcf(c_6097,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xN,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2425]) ).
tcf(c_6098,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2425]) ).
tcf(c_6099,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2425]) ).
tcf(c_6100,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2425]) ).
tcf(c_6101,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2425]) ).
tcf(c_6102,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2425]) ).
tcf(c_6103,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2425]) ).
tcf(c_6104,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2425]) ).
tcf(c_6202,plain,
sdtasdt0(smndt0(xN),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_1131,c_6063]) ).
tcf(c_6203,plain,
( aScalar0(sdtasdt0(xN,sz0z00))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_6063,c_1212]) ).
tcf(c_6204,plain,
( aScalar0(sdtasdt0(xN,sz0z00))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6202,c_1212]) ).
tcf(c_6205,plain,
( aScalar0(sdtasdt0(xN,xR))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_6064,c_1212]) ).
tcf(c_6217,plain,
( aScalar0(sdtasdt0(xN,xS))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_6065,c_1212]) ).
tcf(c_6218,plain,
( aScalar0(sdtasdt0(xN,xN))
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6066,c_1212]) ).
tcf(c_6219,plain,
aScalar0(sdtasdt0(xN,xN)),
inference(global_subsumption_just,[status(thm)],[c_6218,c_129,c_125,c_2383,c_2465,c_6218]) ).
tcf(c_6221,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xN,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2425]) ).
tcf(c_6222,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xS,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2424]) ).
tcf(c_6223,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xR,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2423]) ).
tcf(c_6224,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xN)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6219,c_2380]) ).
tcf(c_6225,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xN))),smndt0(sdtasdt0(xN,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_6219,c_2372]) ).
tcf(c_6226,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1197]) ).
tcf(c_6227,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1199]) ).
tcf(c_6228,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1198]) ).
tcf(c_6229,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1203]) ).
tcf(c_6230,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1201]) ).
tcf(c_6231,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2367]) ).
tcf(c_6232,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1196]) ).
tcf(c_6233,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1195]) ).
tcf(c_6234,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6219,c_1194]) ).
tcf(c_6235,plain,
sdtpldt0(sdtasdt0(xN,xN),smndt0(sdtasdt0(xN,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_6219,c_1206]) ).
tcf(c_6236,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xN)),sdtasdt0(xN,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_6219,c_1205]) ).
tcf(c_6237,plain,
smndt0(smndt0(sdtasdt0(xN,xN))) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_6219,c_1204]) ).
tcf(c_6303,plain,
aScalar0(sdtasdt0(xN,sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_6204,c_129,c_125,c_56,c_143,c_2383,c_2465,c_6203]) ).
tcf(c_6305,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xN,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2425]) ).
tcf(c_6306,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xS,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2424]) ).
tcf(c_6307,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xR,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2423]) ).
tcf(c_6308,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6303,c_2380]) ).
tcf(c_6309,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6303,c_2372]) ).
tcf(c_6310,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1197]) ).
tcf(c_6311,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1199]) ).
tcf(c_6312,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1198]) ).
tcf(c_6313,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1203]) ).
tcf(c_6314,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1201]) ).
tcf(c_6315,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2367]) ).
tcf(c_6316,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1196]) ).
tcf(c_6317,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1195]) ).
tcf(c_6318,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6303,c_1194]) ).
tcf(c_6319,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6303,c_1206]) ).
tcf(c_6320,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_6303,c_1205]) ).
tcf(c_6321,plain,
smndt0(smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6303,c_1204]) ).
tcf(c_6399,plain,
sdtasdt0(smndt0(xN),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2523,c_6067]) ).
tcf(c_6401,plain,
( aScalar0(sdtasdt0(xN,smndt0(sz0z00)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_6067,c_1212]) ).
tcf(c_6403,plain,
( aScalar0(sdtasdt0(xN,smndt0(sz0z00)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6399,c_1212]) ).
tcf(c_6404,plain,
sdtasdt0(xN,smndt0(sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6399,c_6202]) ).
tcf(c_6406,plain,
sdtasdt0(smndt0(xN),xR) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_2364,c_6071]) ).
tcf(c_6407,plain,
( aScalar0(sdtasdt0(xN,smndt0(xR)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_6071,c_1212]) ).
tcf(c_6408,plain,
( aScalar0(sdtasdt0(xN,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6406,c_1212]) ).
tcf(c_6411,plain,
aScalar0(sdtasdt0(xN,xR)),
inference(global_subsumption_just,[status(thm)],[c_6205,c_129,c_125,c_2383,c_2465,c_2872,c_6205]) ).
tcf(c_6413,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xN,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2425]) ).
tcf(c_6414,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xS,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2424]) ).
tcf(c_6415,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xR,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2423]) ).
tcf(c_6416,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xR)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_6411,c_2380]) ).
tcf(c_6417,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xR))),smndt0(sdtasdt0(xN,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_6411,c_2372]) ).
tcf(c_6418,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1197]) ).
tcf(c_6419,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1199]) ).
tcf(c_6420,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1198]) ).
tcf(c_6421,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1203]) ).
tcf(c_6422,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1201]) ).
tcf(c_6423,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2367]) ).
tcf(c_6424,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1196]) ).
tcf(c_6425,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1195]) ).
tcf(c_6426,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6411,c_1194]) ).
tcf(c_6427,plain,
sdtpldt0(sdtasdt0(xN,xR),smndt0(sdtasdt0(xN,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_6411,c_1206]) ).
tcf(c_6428,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xR)),sdtasdt0(xN,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_6411,c_1205]) ).
tcf(c_6429,plain,
smndt0(smndt0(sdtasdt0(xN,xR))) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_6411,c_1204]) ).
tcf(c_6494,plain,
sdtasdt0(smndt0(xN),xS) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_2365,c_6072]) ).
tcf(c_6495,plain,
( aScalar0(sdtasdt0(xN,smndt0(xS)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_6072,c_1212]) ).
tcf(c_6496,plain,
( aScalar0(sdtasdt0(xN,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6494,c_1212]) ).
tcf(c_6497,plain,
sdtasdt0(smndt0(xN),xN) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_2366,c_6073]) ).
tcf(c_6498,plain,
( aScalar0(sdtasdt0(xN,smndt0(xN)))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(smndt0(xN))) ),
inference(superposition,[status(thm)],[c_6073,c_1212]) ).
tcf(c_6499,plain,
( aScalar0(sdtasdt0(xN,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_6497,c_1212]) ).
tcf(c_6500,plain,
aScalar0(sdtasdt0(xN,xS)),
inference(global_subsumption_just,[status(thm)],[c_6217,c_129,c_125,c_2383,c_2465,c_6217]) ).
tcf(c_6502,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xN,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2425]) ).
tcf(c_6503,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xS,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2424]) ).
tcf(c_6504,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xR,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2423]) ).
tcf(c_6505,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xS)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_6500,c_2380]) ).
tcf(c_6506,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xS))),smndt0(sdtasdt0(xN,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_6500,c_2372]) ).
tcf(c_6507,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1197]) ).
tcf(c_6508,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1199]) ).
tcf(c_6509,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1198]) ).
tcf(c_6510,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1203]) ).
tcf(c_6511,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1201]) ).
tcf(c_6512,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2367]) ).
tcf(c_6513,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1196]) ).
tcf(c_6514,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1195]) ).
tcf(c_6515,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6500,c_1194]) ).
tcf(c_6516,plain,
sdtpldt0(sdtasdt0(xN,xS),smndt0(sdtasdt0(xN,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_6500,c_1206]) ).
tcf(c_6517,plain,
sdtpldt0(smndt0(sdtasdt0(xN,xS)),sdtasdt0(xN,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_6500,c_1205]) ).
tcf(c_6518,plain,
smndt0(smndt0(sdtasdt0(xN,xS))) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_6500,c_1204]) ).
tcf(c_6580,plain,
( aScalar0(smndt0(sdtasdt0(xN,xN)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,xN)))) ),
inference(superposition,[status(thm)],[c_6231,c_1211]) ).
tcf(c_6581,plain,
( aScalar0(smndt0(sdtasdt0(xN,sz0z00)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))) ),
inference(superposition,[status(thm)],[c_6315,c_1211]) ).
tcf(c_6582,plain,
aScalar0(sdtasdt0(xN,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_6403,c_129,c_125,c_56,c_2383,c_2465,c_3098,c_6401]) ).
tcf(c_6586,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2425]) ).
tcf(c_6587,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2424]) ).
tcf(c_6588,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2423]) ).
tcf(c_6589,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_6582,c_2380]) ).
tcf(c_6590,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6582,c_2372]) ).
tcf(c_6591,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1197]) ).
tcf(c_6592,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1199]) ).
tcf(c_6593,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1198]) ).
tcf(c_6594,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1203]) ).
tcf(c_6595,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1201]) ).
tcf(c_6596,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2367]) ).
tcf(c_6597,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1196]) ).
tcf(c_6598,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1195]) ).
tcf(c_6599,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6582,c_1194]) ).
tcf(c_6600,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6582,c_1206]) ).
tcf(c_6601,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6582,c_1205]) ).
tcf(c_6602,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_6582,c_1204]) ).
tcf(c_6689,plain,
aScalar0(sdtasdt0(xN,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_6408,c_129,c_125,c_2383,c_2465,c_2872,c_3181,c_6407]) ).
tcf(c_6691,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2425]) ).
tcf(c_6692,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2424]) ).
tcf(c_6693,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2423]) ).
tcf(c_6694,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xR))),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_6689,c_2380]) ).
tcf(c_6695,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))),smndt0(sdtasdt0(xN,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_6689,c_2372]) ).
tcf(c_6696,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1197]) ).
tcf(c_6697,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1199]) ).
tcf(c_6698,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1198]) ).
tcf(c_6699,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1203]) ).
tcf(c_6700,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1201]) ).
tcf(c_6701,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2367]) ).
tcf(c_6702,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1196]) ).
tcf(c_6703,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1195]) ).
tcf(c_6704,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6689,c_1194]) ).
tcf(c_6705,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_6689,c_1206]) ).
tcf(c_6706,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xR))),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_6689,c_1205]) ).
tcf(c_6707,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_6689,c_1204]) ).
tcf(c_6869,plain,
aScalar0(sdtasdt0(xN,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_6496,c_129,c_125,c_2383,c_2465,c_3243,c_6495]) ).
tcf(c_6871,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2425]) ).
tcf(c_6872,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2424]) ).
tcf(c_6873,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2423]) ).
tcf(c_6874,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xS))),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_6869,c_2380]) ).
tcf(c_6875,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))),smndt0(sdtasdt0(xN,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_6869,c_2372]) ).
tcf(c_6876,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1197]) ).
tcf(c_6877,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1199]) ).
tcf(c_6878,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1198]) ).
tcf(c_6879,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1203]) ).
tcf(c_6880,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1201]) ).
tcf(c_6881,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2367]) ).
tcf(c_6882,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1196]) ).
tcf(c_6883,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1195]) ).
tcf(c_6884,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6869,c_1194]) ).
tcf(c_6885,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_6869,c_1206]) ).
tcf(c_6886,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xS))),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_6869,c_1205]) ).
tcf(c_6887,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_6869,c_1204]) ).
tcf(c_6903,plain,
aScalar0(sdtasdt0(xN,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_6499,c_129,c_125,c_2383,c_2465,c_3040,c_6498]) ).
tcf(c_6905,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2425]) ).
tcf(c_6906,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2424]) ).
tcf(c_6907,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2423]) ).
tcf(c_6908,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xN))),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6903,c_2380]) ).
tcf(c_6909,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))),smndt0(sdtasdt0(xN,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6903,c_2372]) ).
tcf(c_6910,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1197]) ).
tcf(c_6911,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1199]) ).
tcf(c_6912,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1198]) ).
tcf(c_6913,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1203]) ).
tcf(c_6914,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1201]) ).
tcf(c_6915,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2367]) ).
tcf(c_6916,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1196]) ).
tcf(c_6917,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1195]) ).
tcf(c_6918,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6903,c_1194]) ).
tcf(c_6919,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6903,c_1206]) ).
tcf(c_6920,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(xN))),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_6903,c_1205]) ).
tcf(c_6921,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_6903,c_1204]) ).
tcf(c_6968,plain,
( aScalar0(smndt0(sdtasdt0(xN,xN)))
| ~ aScalar0(sdtasdt0(xN,xN)) ),
inference(superposition,[status(thm)],[c_6237,c_6580]) ).
tcf(c_6969,plain,
aScalar0(smndt0(sdtasdt0(xN,xN))),
inference(global_subsumption_just,[status(thm)],[c_6968,c_129,c_125,c_2383,c_2465,c_6218,c_6968]) ).
tcf(c_6971,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2425]) ).
tcf(c_6972,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2424]) ).
tcf(c_6973,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2423]) ).
tcf(c_6974,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xN))),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6969,c_2380]) ).
tcf(c_6975,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))),smndt0(smndt0(sdtasdt0(xN,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_6969,c_2372]) ).
tcf(c_6976,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xN)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1197]) ).
tcf(c_6977,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,xN)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1199]) ).
tcf(c_6978,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1198]) ).
tcf(c_6979,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xN,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1203]) ).
tcf(c_6980,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xN,xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1201]) ).
tcf(c_6981,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = smndt0(smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2367]) ).
tcf(c_6982,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1196]) ).
tcf(c_6983,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1195]) ).
tcf(c_6984,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_6969,c_1194]) ).
tcf(c_7183,plain,
( aScalar0(smndt0(sdtasdt0(xN,xR)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,xR)))) ),
inference(superposition,[status(thm)],[c_6423,c_1211]) ).
tcf(c_7184,plain,
( aScalar0(smndt0(sdtasdt0(xN,xS)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xN,xS)))) ),
inference(superposition,[status(thm)],[c_6512,c_1211]) ).
tcf(c_7186,plain,
( aScalar0(smndt0(sdtasdt0(xN,sz0z00)))
| ~ aScalar0(sdtasdt0(xN,sz0z00)) ),
inference(superposition,[status(thm)],[c_6321,c_6581]) ).
tcf(c_7187,plain,
aScalar0(smndt0(sdtasdt0(xN,sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_7186,c_129,c_125,c_56,c_143,c_2383,c_2465,c_6203,c_7186]) ).
tcf(c_7189,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2425]) ).
tcf(c_7190,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2424]) ).
tcf(c_7191,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2423]) ).
tcf(c_7192,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_7187,c_2380]) ).
tcf(c_7193,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_7187,c_2372]) ).
tcf(c_7194,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1197]) ).
tcf(c_7195,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1199]) ).
tcf(c_7196,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1198]) ).
tcf(c_7197,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1203]) ).
tcf(c_7198,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1201]) ).
tcf(c_7199,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = smndt0(smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2367]) ).
tcf(c_7200,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1196]) ).
tcf(c_7201,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1195]) ).
tcf(c_7202,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7187,c_1194]) ).
tcf(c_7221,plain,
( aScalar0(smndt0(sdtasdt0(xN,xR)))
| ~ aScalar0(sdtasdt0(xN,xR)) ),
inference(superposition,[status(thm)],[c_6429,c_7183]) ).
tcf(c_7222,plain,
aScalar0(smndt0(sdtasdt0(xN,xR))),
inference(global_subsumption_just,[status(thm)],[c_7221,c_129,c_125,c_2383,c_2465,c_2872,c_6205,c_7221]) ).
tcf(c_7224,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2425]) ).
tcf(c_7225,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2424]) ).
tcf(c_7226,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2423]) ).
tcf(c_7227,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xR))),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_7222,c_2380]) ).
tcf(c_7228,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))),smndt0(smndt0(sdtasdt0(xN,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_7222,c_2372]) ).
tcf(c_7229,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xR)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1197]) ).
tcf(c_7230,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,xR)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1199]) ).
tcf(c_7231,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1198]) ).
tcf(c_7232,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xN,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1203]) ).
tcf(c_7233,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xN,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1201]) ).
tcf(c_7234,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = smndt0(smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2367]) ).
tcf(c_7235,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1196]) ).
tcf(c_7236,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1195]) ).
tcf(c_7237,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7222,c_1194]) ).
tcf(c_7270,plain,
( aScalar0(smndt0(sdtasdt0(xN,xS)))
| ~ aScalar0(sdtasdt0(xN,xS)) ),
inference(superposition,[status(thm)],[c_6518,c_7184]) ).
tcf(c_7271,plain,
sdtasdt0(smndt0(xR),sz0z00) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2450]) ).
tcf(c_7272,plain,
sdtasdt0(smndt0(xR),xR) = smndt0(sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_1147,c_2450]) ).
tcf(c_7273,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_1143,c_2450]) ).
tcf(c_7274,plain,
sdtasdt0(smndt0(xR),xN) = smndt0(sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_1141,c_2450]) ).
tcf(c_7275,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2450]) ).
tcf(c_7276,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(xR,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2450]) ).
tcf(c_7277,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(xR,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2450]) ).
tcf(c_7278,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(xR,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2450]) ).
tcf(c_7279,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2450]) ).
tcf(c_7280,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2450]) ).
tcf(c_7281,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2450]) ).
tcf(c_7282,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2450]) ).
tcf(c_7283,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xN))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2450]) ).
tcf(c_7284,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2450]) ).
tcf(c_7285,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2450]) ).
tcf(c_7286,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xR))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2450]) ).
tcf(c_7287,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2450]) ).
tcf(c_7288,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2450]) ).
tcf(c_7289,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2450]) ).
tcf(c_7290,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2450]) ).
tcf(c_7291,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2450]) ).
tcf(c_7292,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2450]) ).
tcf(c_7293,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2450]) ).
tcf(c_7294,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2450]) ).
tcf(c_7295,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2450]) ).
tcf(c_7296,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2450]) ).
tcf(c_7297,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2450]) ).
tcf(c_7298,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2450]) ).
tcf(c_7299,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2450]) ).
tcf(c_7300,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2450]) ).
tcf(c_7301,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2450]) ).
tcf(c_7302,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2450]) ).
tcf(c_7303,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2450]) ).
tcf(c_7304,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2450]) ).
tcf(c_7305,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2450]) ).
tcf(c_7306,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2450]) ).
tcf(c_7307,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2450]) ).
tcf(c_7308,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2450]) ).
tcf(c_7309,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2450]) ).
tcf(c_7310,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2450]) ).
tcf(c_7311,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2450]) ).
tcf(c_7312,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2450]) ).
tcf(c_7313,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2450]) ).
tcf(c_7314,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2450]) ).
tcf(c_7315,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2450]) ).
tcf(c_7316,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2450]) ).
tcf(c_7317,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2450]) ).
tcf(c_7318,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2450]) ).
tcf(c_7319,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2450]) ).
tcf(c_7320,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2450]) ).
tcf(c_7321,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2450]) ).
tcf(c_7322,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2450]) ).
tcf(c_7323,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2450]) ).
tcf(c_7451,plain,
aScalar0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7272,c_4622]) ).
tcf(c_7453,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_7272,c_3861]) ).
tcf(c_7454,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(xR,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_7272,c_3866]) ).
tcf(c_7455,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_7272,c_3865]) ).
tcf(c_7456,plain,
smndt0(sdtasdt0(smndt0(xR),xR)) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_7272,c_3867]) ).
tcf(c_7457,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(superposition,[status(thm)],[c_1140,c_7273]) ).
tcf(c_7459,plain,
aScalar0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7273,c_4802]) ).
tcf(c_7461,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_7273,c_4023]) ).
tcf(c_7462,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_7273,c_4028]) ).
tcf(c_7463,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_7273,c_4027]) ).
tcf(c_7464,plain,
smndt0(sdtasdt0(smndt0(xR),xS)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_7273,c_4029]) ).
tcf(c_7499,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2450]) ).
tcf(c_7500,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2425]) ).
tcf(c_7501,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2424]) ).
tcf(c_7502,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2423]) ).
tcf(c_7503,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xR)),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_7451,c_2380]) ).
tcf(c_7504,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))),smndt0(sdtasdt0(smndt0(xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7451,c_2372]) ).
tcf(c_7505,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1197]) ).
tcf(c_7506,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1199]) ).
tcf(c_7507,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1198]) ).
tcf(c_7508,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1203]) ).
tcf(c_7509,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1201]) ).
tcf(c_7510,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2367]) ).
tcf(c_7511,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1196]) ).
tcf(c_7512,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1195]) ).
tcf(c_7513,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7451,c_1194]) ).
tcf(c_7514,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),smndt0(sdtasdt0(smndt0(xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7451,c_1206]) ).
tcf(c_7515,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xR)),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_7451,c_1205]) ).
tcf(c_7541,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2450]) ).
tcf(c_7542,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2425]) ).
tcf(c_7543,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2424]) ).
tcf(c_7544,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2423]) ).
tcf(c_7545,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xS)),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_7459,c_2380]) ).
tcf(c_7546,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))),smndt0(sdtasdt0(smndt0(xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7459,c_2372]) ).
tcf(c_7547,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1197]) ).
tcf(c_7548,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1199]) ).
tcf(c_7549,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1198]) ).
tcf(c_7550,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1203]) ).
tcf(c_7551,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1201]) ).
tcf(c_7552,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2367]) ).
tcf(c_7553,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1196]) ).
tcf(c_7554,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1195]) ).
tcf(c_7555,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7459,c_1194]) ).
tcf(c_7556,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),smndt0(sdtasdt0(smndt0(xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7459,c_1206]) ).
tcf(c_7557,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xS)),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_7459,c_1205]) ).
tcf(c_7625,plain,
aScalar0(smndt0(sdtasdt0(xN,xS))),
inference(global_subsumption_just,[status(thm)],[c_7270,c_129,c_125,c_2383,c_2465,c_6217,c_7270]) ).
tcf(c_7627,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2450]) ).
tcf(c_7628,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2425]) ).
tcf(c_7629,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2424]) ).
tcf(c_7630,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2423]) ).
tcf(c_7631,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,xS))),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_7625,c_2380]) ).
tcf(c_7632,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))),smndt0(smndt0(sdtasdt0(xN,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_7625,c_2372]) ).
tcf(c_7633,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xS)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1197]) ).
tcf(c_7634,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xN,xS)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1199]) ).
tcf(c_7635,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xN,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1198]) ).
tcf(c_7636,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xN,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1203]) ).
tcf(c_7637,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xN,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1201]) ).
tcf(c_7638,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = smndt0(smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2367]) ).
tcf(c_7639,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1196]) ).
tcf(c_7640,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1195]) ).
tcf(c_7641,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xN,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xN,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7625,c_1194]) ).
tcf(c_7729,plain,
aScalar0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7271,c_4735]) ).
tcf(c_7731,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_7271,c_3950]) ).
tcf(c_7732,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_7271,c_3955]) ).
tcf(c_7733,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_7271,c_3954]) ).
tcf(c_7734,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_7271,c_3956]) ).
tcf(c_7741,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2450]) ).
tcf(c_7742,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2425]) ).
tcf(c_7743,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2424]) ).
tcf(c_7744,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2423]) ).
tcf(c_7745,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_7729,c_2380]) ).
tcf(c_7746,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7729,c_2372]) ).
tcf(c_7747,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1197]) ).
tcf(c_7748,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1199]) ).
tcf(c_7749,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1198]) ).
tcf(c_7750,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1203]) ).
tcf(c_7751,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1201]) ).
tcf(c_7752,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2367]) ).
tcf(c_7753,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1196]) ).
tcf(c_7754,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1195]) ).
tcf(c_7755,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7729,c_1194]) ).
tcf(c_7756,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7729,c_1206]) ).
tcf(c_7757,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_7729,c_1205]) ).
tcf(c_7879,plain,
aScalar0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7274,c_4894]) ).
tcf(c_7881,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_7274,c_4120]) ).
tcf(c_7882,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(xR,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_7274,c_4125]) ).
tcf(c_7883,plain,
sdtpldt0(sdtasdt0(xR,xN),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_7274,c_4124]) ).
tcf(c_7884,plain,
smndt0(sdtasdt0(smndt0(xR),xN)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_7274,c_4126]) ).
tcf(c_7902,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2450]) ).
tcf(c_7903,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2425]) ).
tcf(c_7904,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2424]) ).
tcf(c_7905,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2423]) ).
tcf(c_7906,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xN)),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_7879,c_2380]) ).
tcf(c_7907,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))),smndt0(sdtasdt0(smndt0(xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7879,c_2372]) ).
tcf(c_7908,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1197]) ).
tcf(c_7909,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1199]) ).
tcf(c_7910,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1198]) ).
tcf(c_7911,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1203]) ).
tcf(c_7912,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1201]) ).
tcf(c_7913,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = smndt0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2367]) ).
tcf(c_7914,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1196]) ).
tcf(c_7915,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1195]) ).
tcf(c_7916,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_7879,c_1194]) ).
tcf(c_7917,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),smndt0(sdtasdt0(smndt0(xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7879,c_1206]) ).
tcf(c_7918,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),xN)),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_7879,c_1205]) ).
tcf(c_8024,plain,
smndt0(sdtasdt0(xR,smndt0(xR))) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_4004,c_7456]) ).
tcf(c_8026,plain,
sdtasdt0(xR,xS) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_7457,c_7464]) ).
tcf(c_8027,plain,
smndt0(sdtasdt0(xR,smndt0(xS))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_4007,c_7464]) ).
tcf(c_8031,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xS)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_6073]) ).
tcf(c_8032,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xS)) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_4963]) ).
tcf(c_8033,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,xS)) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_3520]) ).
tcf(c_8042,plain,
sdtpldt0(sdtasdt0(xR,xS),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8026,c_2554]) ).
tcf(c_8043,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8026,c_2553]) ).
tcf(c_8044,plain,
smndt0(sdtasdt0(xR,xS)) = smndt0(xN),
inference(superposition,[status(thm)],[c_8026,c_2555]) ).
tcf(c_8074,plain,
sdtasdt0(smndt0(xS),sz0z00) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2451]) ).
tcf(c_8075,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_1147,c_2451]) ).
tcf(c_8076,plain,
sdtasdt0(smndt0(xS),xS) = smndt0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_1143,c_2451]) ).
tcf(c_8077,plain,
sdtasdt0(smndt0(xS),xN) = smndt0(sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_1141,c_2451]) ).
tcf(c_8078,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = smndt0(sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2451]) ).
tcf(c_8079,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(xS,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2451]) ).
tcf(c_8080,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(xS,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2451]) ).
tcf(c_8081,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(xS,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2451]) ).
tcf(c_8082,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2451]) ).
tcf(c_8083,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2451]) ).
tcf(c_8084,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2451]) ).
tcf(c_8085,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2451]) ).
tcf(c_8086,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xN))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2451]) ).
tcf(c_8087,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2451]) ).
tcf(c_8088,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2451]) ).
tcf(c_8089,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xR))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2451]) ).
tcf(c_8090,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2451]) ).
tcf(c_8091,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2451]) ).
tcf(c_8092,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2451]) ).
tcf(c_8093,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2451]) ).
tcf(c_8094,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2451]) ).
tcf(c_8095,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2451]) ).
tcf(c_8096,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2451]) ).
tcf(c_8097,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2451]) ).
tcf(c_8098,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2451]) ).
tcf(c_8099,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2451]) ).
tcf(c_8100,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2451]) ).
tcf(c_8101,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2451]) ).
tcf(c_8102,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2451]) ).
tcf(c_8103,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2451]) ).
tcf(c_8104,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2451]) ).
tcf(c_8105,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2451]) ).
tcf(c_8106,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2451]) ).
tcf(c_8107,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2451]) ).
tcf(c_8108,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2451]) ).
tcf(c_8109,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2451]) ).
tcf(c_8110,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2451]) ).
tcf(c_8111,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2451]) ).
tcf(c_8112,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2451]) ).
tcf(c_8113,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2451]) ).
tcf(c_8114,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2451]) ).
tcf(c_8115,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2451]) ).
tcf(c_8116,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2451]) ).
tcf(c_8117,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2451]) ).
tcf(c_8118,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2451]) ).
tcf(c_8119,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2451]) ).
tcf(c_8120,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2451]) ).
tcf(c_8121,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2451]) ).
tcf(c_8122,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2451]) ).
tcf(c_8123,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2451]) ).
tcf(c_8124,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2451]) ).
tcf(c_8125,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2451]) ).
tcf(c_8126,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2451]) ).
tcf(c_8127,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2451]) ).
tcf(c_8128,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2451]) ).
tcf(c_8129,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2451]) ).
tcf(c_8130,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2451]) ).
tcf(c_8131,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2451]) ).
tcf(c_8392,plain,
aScalar0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8075,c_5863]) ).
tcf(c_8394,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_8075,c_5115]) ).
tcf(c_8395,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8075,c_5120]) ).
tcf(c_8396,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8075,c_5119]) ).
tcf(c_8397,plain,
smndt0(sdtasdt0(smndt0(xS),xR)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_8075,c_5121]) ).
tcf(c_8418,plain,
( aScalar0(sdtasdt0(smndt0(xS),xS))
| ~ aScalar0(sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c_8076,c_1211]) ).
tcf(c_8420,plain,
aScalar0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8077,c_5983]) ).
tcf(c_8422,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_8077,c_5358]) ).
tcf(c_8423,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(xS,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8077,c_5363]) ).
tcf(c_8424,plain,
sdtpldt0(sdtasdt0(xS,xN),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8077,c_5362]) ).
tcf(c_8425,plain,
smndt0(sdtasdt0(smndt0(xS),xN)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_8077,c_5364]) ).
tcf(c_8428,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2451]) ).
tcf(c_8429,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2450]) ).
tcf(c_8430,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2425]) ).
tcf(c_8431,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2424]) ).
tcf(c_8432,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2423]) ).
tcf(c_8433,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xR)),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_8392,c_2380]) ).
tcf(c_8434,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))),smndt0(sdtasdt0(smndt0(xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8392,c_2372]) ).
tcf(c_8435,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1197]) ).
tcf(c_8436,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1199]) ).
tcf(c_8437,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1198]) ).
tcf(c_8438,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1203]) ).
tcf(c_8439,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1201]) ).
tcf(c_8440,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2367]) ).
tcf(c_8441,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1196]) ).
tcf(c_8442,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1195]) ).
tcf(c_8443,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8392,c_1194]) ).
tcf(c_8444,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),smndt0(sdtasdt0(smndt0(xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8392,c_1206]) ).
tcf(c_8445,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xR)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8392,c_1205]) ).
tcf(c_8558,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2451]) ).
tcf(c_8559,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2450]) ).
tcf(c_8560,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2425]) ).
tcf(c_8561,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2424]) ).
tcf(c_8562,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2423]) ).
tcf(c_8563,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xN)),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_8420,c_2380]) ).
tcf(c_8564,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))),smndt0(sdtasdt0(smndt0(xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8420,c_2372]) ).
tcf(c_8565,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1197]) ).
tcf(c_8566,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1199]) ).
tcf(c_8567,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1198]) ).
tcf(c_8568,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1203]) ).
tcf(c_8569,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1201]) ).
tcf(c_8570,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = smndt0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2367]) ).
tcf(c_8571,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1196]) ).
tcf(c_8572,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1195]) ).
tcf(c_8573,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8420,c_1194]) ).
tcf(c_8574,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),smndt0(sdtasdt0(smndt0(xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8420,c_1206]) ).
tcf(c_8575,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xN)),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8420,c_1205]) ).
tcf(c_8764,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_3978,c_7734]) ).
tcf(c_8765,plain,
smndt0(sdtasdt0(xR,sz0z00)) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_3835,c_7734]) ).
tcf(c_8772,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8765,c_3955]) ).
tcf(c_8774,plain,
smndt0(sdtasdt0(xR,smndt0(xN))) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_4106,c_7884]) ).
tcf(c_8777,plain,
sdtasdt0(xR,smndt0(xR)) = smndt0(sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_8024,c_4296]) ).
tcf(c_8780,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_8027,c_4398]) ).
tcf(c_8782,plain,
aScalar0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8074,c_5919]) ).
tcf(c_8784,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_8074,c_5255]) ).
tcf(c_8785,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8074,c_5260]) ).
tcf(c_8786,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8074,c_5259]) ).
tcf(c_8787,plain,
smndt0(sdtasdt0(smndt0(xS),sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_8074,c_5261]) ).
tcf(c_8790,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2451]) ).
tcf(c_8791,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2450]) ).
tcf(c_8792,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2425]) ).
tcf(c_8793,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2424]) ).
tcf(c_8794,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2423]) ).
tcf(c_8795,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_8782,c_2380]) ).
tcf(c_8796,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8782,c_2372]) ).
tcf(c_8797,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1197]) ).
tcf(c_8798,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1199]) ).
tcf(c_8799,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1198]) ).
tcf(c_8800,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1203]) ).
tcf(c_8801,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1201]) ).
tcf(c_8802,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2367]) ).
tcf(c_8803,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1196]) ).
tcf(c_8804,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1195]) ).
tcf(c_8805,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8782,c_1194]) ).
tcf(c_8806,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8782,c_1206]) ).
tcf(c_8807,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_8782,c_1205]) ).
tcf(c_8900,plain,
smndt0(sdtasdt0(xS,smndt0(xR))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_5400,c_8397]) ).
tcf(c_8901,plain,
sdtasdt0(xS,xR) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1136,c_8397]) ).
tcf(c_8921,plain,
sdtasdt0(xR,xS) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_8901,c_8026]) ).
tcf(c_8922,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xR)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_6073]) ).
tcf(c_8923,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xR)) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_4963]) ).
tcf(c_8924,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xR)) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_3520]) ).
tcf(c_8933,plain,
sdtpldt0(sdtasdt0(xS,xR),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_8901,c_2554]) ).
tcf(c_8934,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8901,c_2553]) ).
tcf(c_8935,plain,
smndt0(sdtasdt0(xS,xR)) = smndt0(xN),
inference(superposition,[status(thm)],[c_8901,c_2555]) ).
tcf(c_8936,plain,
sdtasdt0(xS,xR) = xN,
inference(superposition,[status(thm)],[c_8901,c_2366]) ).
tcf(c_8971,plain,
aScalar0(sdtasdt0(smndt0(xS),xS)),
inference(global_subsumption_just,[status(thm)],[c_8418,c_129,c_2385,c_2465,c_8418]) ).
tcf(c_8974,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2451]) ).
tcf(c_8975,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2450]) ).
tcf(c_8976,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2425]) ).
tcf(c_8977,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2424]) ).
tcf(c_8978,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2423]) ).
tcf(c_8979,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xS)),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_8971,c_2380]) ).
tcf(c_8980,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))),smndt0(sdtasdt0(smndt0(xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8971,c_2372]) ).
tcf(c_8981,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1197]) ).
tcf(c_8982,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1199]) ).
tcf(c_8983,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1198]) ).
tcf(c_8984,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1203]) ).
tcf(c_8985,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1201]) ).
tcf(c_8986,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = smndt0(sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2367]) ).
tcf(c_8987,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1196]) ).
tcf(c_8988,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1195]) ).
tcf(c_8989,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_8971,c_1194]) ).
tcf(c_8990,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),smndt0(sdtasdt0(smndt0(xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8971,c_1206]) ).
tcf(c_8991,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),xS)),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8971,c_1205]) ).
tcf(c_8992,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_8971,c_1204]) ).
tcf(c_9093,plain,
sdtasdt0(smndt0(xN),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2452]) ).
tcf(c_9094,plain,
sdtasdt0(smndt0(xN),xR) = smndt0(sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_1147,c_2452]) ).
tcf(c_9095,plain,
sdtasdt0(smndt0(xN),xS) = smndt0(sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_1143,c_2452]) ).
tcf(c_9096,plain,
sdtasdt0(smndt0(xN),xN) = smndt0(sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_1141,c_2452]) ).
tcf(c_9097,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2452]) ).
tcf(c_9098,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(xN,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2452]) ).
tcf(c_9099,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(xN,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2452]) ).
tcf(c_9100,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(xN,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2452]) ).
tcf(c_9101,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2452]) ).
tcf(c_9102,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2452]) ).
tcf(c_9103,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2452]) ).
tcf(c_9104,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2452]) ).
tcf(c_9105,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xN))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2452]) ).
tcf(c_9106,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2452]) ).
tcf(c_9107,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2452]) ).
tcf(c_9108,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xR))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2452]) ).
tcf(c_9109,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2452]) ).
tcf(c_9110,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2452]) ).
tcf(c_9111,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2452]) ).
tcf(c_9112,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2452]) ).
tcf(c_9113,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2452]) ).
tcf(c_9114,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2452]) ).
tcf(c_9115,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2452]) ).
tcf(c_9116,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2452]) ).
tcf(c_9117,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2452]) ).
tcf(c_9118,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2452]) ).
tcf(c_9119,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2452]) ).
tcf(c_9120,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2452]) ).
tcf(c_9121,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2452]) ).
tcf(c_9122,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2452]) ).
tcf(c_9123,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2452]) ).
tcf(c_9124,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2452]) ).
tcf(c_9125,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2452]) ).
tcf(c_9126,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2452]) ).
tcf(c_9127,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2452]) ).
tcf(c_9128,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2452]) ).
tcf(c_9129,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2452]) ).
tcf(c_9130,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2452]) ).
tcf(c_9131,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2452]) ).
tcf(c_9132,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2452]) ).
tcf(c_9133,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2452]) ).
tcf(c_9134,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2452]) ).
tcf(c_9135,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2452]) ).
tcf(c_9136,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2452]) ).
tcf(c_9137,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2452]) ).
tcf(c_9138,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2452]) ).
tcf(c_9139,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2452]) ).
tcf(c_9140,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2452]) ).
tcf(c_9141,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2452]) ).
tcf(c_9142,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2452]) ).
tcf(c_9143,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2452]) ).
tcf(c_9144,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2452]) ).
tcf(c_9145,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2452]) ).
tcf(c_9146,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2452]) ).
tcf(c_9147,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2452]) ).
tcf(c_9148,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2452]) ).
tcf(c_9149,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2452]) ).
tcf(c_9150,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2452]) ).
tcf(c_9151,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2452]) ).
tcf(c_9152,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2452]) ).
tcf(c_9153,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2452]) ).
tcf(c_9154,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2452]) ).
tcf(c_9272,plain,
aScalar0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9094,c_7222]) ).
tcf(c_9274,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_9094,c_6423]) ).
tcf(c_9275,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(xN,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9094,c_6428]) ).
tcf(c_9276,plain,
sdtpldt0(sdtasdt0(xN,xR),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9094,c_6427]) ).
tcf(c_9277,plain,
smndt0(sdtasdt0(smndt0(xN),xR)) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_9094,c_6429]) ).
tcf(c_9279,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2452]) ).
tcf(c_9280,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2451]) ).
tcf(c_9281,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2450]) ).
tcf(c_9282,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2425]) ).
tcf(c_9283,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2424]) ).
tcf(c_9284,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2423]) ).
tcf(c_9285,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xR)),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9272,c_2380]) ).
tcf(c_9286,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))),smndt0(sdtasdt0(smndt0(xN),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9272,c_2372]) ).
tcf(c_9287,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1197]) ).
tcf(c_9288,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1199]) ).
tcf(c_9289,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1198]) ).
tcf(c_9290,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1203]) ).
tcf(c_9291,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1201]) ).
tcf(c_9292,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2367]) ).
tcf(c_9293,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1196]) ).
tcf(c_9294,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1195]) ).
tcf(c_9295,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9272,c_1194]) ).
tcf(c_9296,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),smndt0(sdtasdt0(smndt0(xN),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9272,c_1206]) ).
tcf(c_9297,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xR)),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9272,c_1205]) ).
tcf(c_9347,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8921,c_7273]) ).
tcf(c_9370,plain,
smndt0(sdtasdt0(xS,smndt0(xN))) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_5420,c_8425]) ).
tcf(c_9375,plain,
sdtasdt0(xR,smndt0(sz0z00)) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_8764,c_4223]) ).
tcf(c_9378,plain,
sdtasdt0(xR,smndt0(xN)) = smndt0(sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_8774,c_4494]) ).
tcf(c_9385,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(xR,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_8777,c_3866]) ).
tcf(c_9386,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8777,c_3865]) ).
tcf(c_9390,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8921,c_8780]) ).
tcf(c_9398,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8780,c_4028]) ).
tcf(c_9399,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8780,c_4027]) ).
tcf(c_9418,plain,
aScalar0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9095,c_7625]) ).
tcf(c_9420,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_9095,c_6512]) ).
tcf(c_9421,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(xN,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9095,c_6517]) ).
tcf(c_9422,plain,
sdtpldt0(sdtasdt0(xN,xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9095,c_6516]) ).
tcf(c_9423,plain,
smndt0(sdtasdt0(smndt0(xN),xS)) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_9095,c_6518]) ).
tcf(c_9425,plain,
aScalar0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9096,c_6969]) ).
tcf(c_9427,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_9096,c_6231]) ).
tcf(c_9428,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9096,c_6236]) ).
tcf(c_9429,plain,
sdtpldt0(sdtasdt0(xN,xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9096,c_6235]) ).
tcf(c_9430,plain,
smndt0(sdtasdt0(smndt0(xN),xN)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_9096,c_6237]) ).
tcf(c_9435,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2471]) ).
tcf(c_9436,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(xR,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2471]) ).
tcf(c_9437,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xR,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2471]) ).
tcf(c_9438,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xR,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2471]) ).
tcf(c_9439,plain,
sdtasdt0(xR,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2471]) ).
tcf(c_9440,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2471]) ).
tcf(c_9441,plain,
sdtasdt0(xR,smndt0(smndt0(xN))) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2471]) ).
tcf(c_9442,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2471]) ).
tcf(c_9443,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2471]) ).
tcf(c_9444,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2471]) ).
tcf(c_9445,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2471]) ).
tcf(c_9446,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2471]) ).
tcf(c_9447,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2471]) ).
tcf(c_9448,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2471]) ).
tcf(c_9449,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2471]) ).
tcf(c_9450,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2471]) ).
tcf(c_9451,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2471]) ).
tcf(c_9452,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2471]) ).
tcf(c_9453,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2471]) ).
tcf(c_9454,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2471]) ).
tcf(c_9455,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2471]) ).
tcf(c_9456,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2471]) ).
tcf(c_9457,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2471]) ).
tcf(c_9458,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2471]) ).
tcf(c_9459,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2471]) ).
tcf(c_9460,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2471]) ).
tcf(c_9461,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2471]) ).
tcf(c_9462,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2471]) ).
tcf(c_9463,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2471]) ).
tcf(c_9464,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2471]) ).
tcf(c_9465,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2471]) ).
tcf(c_9466,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2471]) ).
tcf(c_9467,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2471]) ).
tcf(c_9468,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2471]) ).
tcf(c_9469,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2471]) ).
tcf(c_9470,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2471]) ).
tcf(c_9471,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2471]) ).
tcf(c_9472,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2471]) ).
tcf(c_9473,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2471]) ).
tcf(c_9474,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2471]) ).
tcf(c_9475,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2471]) ).
tcf(c_9476,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2471]) ).
tcf(c_9477,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2471]) ).
tcf(c_9478,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2471]) ).
tcf(c_9479,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2471]) ).
tcf(c_9480,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2471]) ).
tcf(c_9481,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2471]) ).
tcf(c_9482,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2471]) ).
tcf(c_9483,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2471]) ).
tcf(c_9484,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2471]) ).
tcf(c_9485,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2471]) ).
tcf(c_9486,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2471]) ).
tcf(c_9487,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2471]) ).
tcf(c_9488,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2471]) ).
tcf(c_9489,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2471]) ).
tcf(c_9490,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2471]) ).
tcf(c_9491,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2471]) ).
tcf(c_9492,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2471]) ).
tcf(c_9493,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2471]) ).
tcf(c_9614,plain,
sdtasdt0(xS,smndt0(sz0z00)) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2472]) ).
tcf(c_9615,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_1147,c_2472]) ).
tcf(c_9616,plain,
sdtasdt0(xS,smndt0(xS)) = smndt0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_1143,c_2472]) ).
tcf(c_9617,plain,
sdtasdt0(xS,smndt0(xN)) = smndt0(sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_1141,c_2472]) ).
tcf(c_9618,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2472]) ).
tcf(c_9619,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xS,smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(xS,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2472]) ).
tcf(c_9620,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xS,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xS,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2472]) ).
tcf(c_9621,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xS,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xS,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2472]) ).
tcf(c_9622,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2472]) ).
tcf(c_9623,plain,
sdtasdt0(xS,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2472]) ).
tcf(c_9624,plain,
sdtasdt0(xS,smndt0(smndt0(xN))) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2472]) ).
tcf(c_9625,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2472]) ).
tcf(c_9626,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2472]) ).
tcf(c_9627,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2472]) ).
tcf(c_9628,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2472]) ).
tcf(c_9629,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2472]) ).
tcf(c_9630,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2472]) ).
tcf(c_9631,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2472]) ).
tcf(c_9632,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2472]) ).
tcf(c_9633,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2472]) ).
tcf(c_9634,plain,
sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2472]) ).
tcf(c_9635,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2472]) ).
tcf(c_9636,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2472]) ).
tcf(c_9637,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2472]) ).
tcf(c_9638,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2472]) ).
tcf(c_9639,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2472]) ).
tcf(c_9640,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2472]) ).
tcf(c_9641,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2472]) ).
tcf(c_9642,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2472]) ).
tcf(c_9643,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2472]) ).
tcf(c_9644,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2472]) ).
tcf(c_9645,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2472]) ).
tcf(c_9646,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2472]) ).
tcf(c_9647,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2472]) ).
tcf(c_9648,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2472]) ).
tcf(c_9649,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2472]) ).
tcf(c_9650,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2472]) ).
tcf(c_9651,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2472]) ).
tcf(c_9652,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2472]) ).
tcf(c_9653,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2472]) ).
tcf(c_9654,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2472]) ).
tcf(c_9655,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2472]) ).
tcf(c_9656,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2472]) ).
tcf(c_9657,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2472]) ).
tcf(c_9658,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2472]) ).
tcf(c_9659,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2472]) ).
tcf(c_9660,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2472]) ).
tcf(c_9661,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2472]) ).
tcf(c_9662,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2472]) ).
tcf(c_9663,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2472]) ).
tcf(c_9664,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2472]) ).
tcf(c_9665,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2472]) ).
tcf(c_9666,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2472]) ).
tcf(c_9667,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2472]) ).
tcf(c_9668,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2472]) ).
tcf(c_9669,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2472]) ).
tcf(c_9670,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2472]) ).
tcf(c_9671,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2472]) ).
tcf(c_9672,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2472]) ).
tcf(c_9673,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2472]) ).
tcf(c_9674,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2472]) ).
tcf(c_9675,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2472]) ).
tcf(c_9676,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2472]) ).
tcf(c_9827,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2472]) ).
tcf(c_9828,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2471]) ).
tcf(c_9829,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2452]) ).
tcf(c_9830,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2451]) ).
tcf(c_9831,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2450]) ).
tcf(c_9832,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2425]) ).
tcf(c_9833,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2424]) ).
tcf(c_9834,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2423]) ).
tcf(c_9835,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xS)),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9418,c_2380]) ).
tcf(c_9836,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))),smndt0(sdtasdt0(smndt0(xN),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9418,c_2372]) ).
tcf(c_9837,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1197]) ).
tcf(c_9838,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1199]) ).
tcf(c_9839,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1198]) ).
tcf(c_9840,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1203]) ).
tcf(c_9841,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1201]) ).
tcf(c_9842,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2367]) ).
tcf(c_9843,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1196]) ).
tcf(c_9844,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1195]) ).
tcf(c_9845,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9418,c_1194]) ).
tcf(c_9846,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),smndt0(sdtasdt0(smndt0(xN),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9418,c_1206]) ).
tcf(c_9847,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xS)),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9418,c_1205]) ).
tcf(c_9980,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2472]) ).
tcf(c_9981,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2471]) ).
tcf(c_9982,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2452]) ).
tcf(c_9983,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2451]) ).
tcf(c_9984,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2450]) ).
tcf(c_9985,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2425]) ).
tcf(c_9986,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2424]) ).
tcf(c_9987,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2423]) ).
tcf(c_9988,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xN)),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9425,c_2380]) ).
tcf(c_9989,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))),smndt0(sdtasdt0(smndt0(xN),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9425,c_2372]) ).
tcf(c_9990,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1197]) ).
tcf(c_9991,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1199]) ).
tcf(c_9992,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1198]) ).
tcf(c_9993,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1203]) ).
tcf(c_9994,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1201]) ).
tcf(c_9995,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2367]) ).
tcf(c_9996,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1196]) ).
tcf(c_9997,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1195]) ).
tcf(c_9998,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_9425,c_1194]) ).
tcf(c_9999,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),smndt0(sdtasdt0(smndt0(xN),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9425,c_1206]) ).
tcf(c_10000,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),xN)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9425,c_1205]) ).
tcf(c_10134,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5340,c_8787]) ).
tcf(c_10135,plain,
smndt0(sdtasdt0(xS,sz0z00)) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_5189,c_8787]) ).
tcf(c_10142,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10135,c_5260]) ).
tcf(c_10156,plain,
aScalar0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_9093,c_7187]) ).
tcf(c_10158,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_9093,c_6315]) ).
tcf(c_10159,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9093,c_6320]) ).
tcf(c_10160,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9093,c_6319]) ).
tcf(c_10161,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_9093,c_6321]) ).
tcf(c_10164,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2472]) ).
tcf(c_10165,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2471]) ).
tcf(c_10166,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2452]) ).
tcf(c_10167,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2451]) ).
tcf(c_10168,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2450]) ).
tcf(c_10169,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2425]) ).
tcf(c_10170,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2424]) ).
tcf(c_10171,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2423]) ).
tcf(c_10172,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10156,c_2380]) ).
tcf(c_10173,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10156,c_2372]) ).
tcf(c_10174,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1197]) ).
tcf(c_10175,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1199]) ).
tcf(c_10176,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1198]) ).
tcf(c_10177,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1203]) ).
tcf(c_10178,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1201]) ).
tcf(c_10179,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2367]) ).
tcf(c_10180,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1196]) ).
tcf(c_10181,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1195]) ).
tcf(c_10182,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_10156,c_1194]) ).
tcf(c_10183,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10156,c_1206]) ).
tcf(c_10184,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10156,c_1205]) ).
tcf(c_10371,plain,
smndt0(sdtasdt0(xN,smndt0(xR))) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_6406,c_9277]) ).
tcf(c_10378,plain,
sdtasdt0(smndt0(xR),xS) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_9347,c_8075]) ).
tcf(c_10382,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9347,c_5120]) ).
tcf(c_10383,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9347,c_5119]) ).
tcf(c_10384,plain,
smndt0(sdtasdt0(smndt0(xR),xS)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9347,c_5121]) ).
tcf(c_10408,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9375,c_3955]) ).
tcf(c_10409,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9375,c_3954]) ).
tcf(c_10423,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9378,c_4125]) ).
tcf(c_10424,plain,
sdtpldt0(sdtasdt0(xR,xN),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9378,c_4124]) ).
tcf(c_10449,plain,
sdtasdt0(smndt0(xR),xS) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_9615,c_9347]) ).
tcf(c_10455,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9615,c_5120]) ).
tcf(c_10456,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9615,c_5119]) ).
tcf(c_10472,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_9617,c_5363]) ).
tcf(c_10473,plain,
sdtpldt0(sdtasdt0(xS,xN),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9617,c_5362]) ).
tcf(c_10480,plain,
sdtasdt0(xN,smndt0(sz0z00)) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2473]) ).
tcf(c_10481,plain,
sdtasdt0(xN,smndt0(xR)) = smndt0(sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_1147,c_2473]) ).
tcf(c_10482,plain,
sdtasdt0(xN,smndt0(xS)) = smndt0(sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_1143,c_2473]) ).
tcf(c_10483,plain,
sdtasdt0(xN,smndt0(xN)) = smndt0(sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_1141,c_2473]) ).
tcf(c_10484,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2473]) ).
tcf(c_10485,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xN,smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(xN,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2473]) ).
tcf(c_10486,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xN,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xN,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2473]) ).
tcf(c_10487,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xN,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xN,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2473]) ).
tcf(c_10488,plain,
sdtasdt0(xN,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2473]) ).
tcf(c_10489,plain,
sdtasdt0(xN,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2473]) ).
tcf(c_10490,plain,
sdtasdt0(xN,smndt0(smndt0(xN))) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2473]) ).
tcf(c_10491,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2473]) ).
tcf(c_10492,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2473]) ).
tcf(c_10493,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2473]) ).
tcf(c_10494,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2473]) ).
tcf(c_10495,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2473]) ).
tcf(c_10496,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2473]) ).
tcf(c_10497,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2473]) ).
tcf(c_10498,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2473]) ).
tcf(c_10499,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2473]) ).
tcf(c_10500,plain,
sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2473]) ).
tcf(c_10501,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2473]) ).
tcf(c_10502,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2473]) ).
tcf(c_10503,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2473]) ).
tcf(c_10504,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2473]) ).
tcf(c_10505,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2473]) ).
tcf(c_10506,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2473]) ).
tcf(c_10507,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2473]) ).
tcf(c_10508,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2473]) ).
tcf(c_10509,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2473]) ).
tcf(c_10510,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2473]) ).
tcf(c_10511,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2473]) ).
tcf(c_10512,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2473]) ).
tcf(c_10513,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2473]) ).
tcf(c_10514,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2473]) ).
tcf(c_10515,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2473]) ).
tcf(c_10516,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2473]) ).
tcf(c_10517,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2473]) ).
tcf(c_10518,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2473]) ).
tcf(c_10519,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2473]) ).
tcf(c_10520,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2473]) ).
tcf(c_10521,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2473]) ).
tcf(c_10522,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2473]) ).
tcf(c_10523,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2473]) ).
tcf(c_10524,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2473]) ).
tcf(c_10525,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2473]) ).
tcf(c_10526,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2473]) ).
tcf(c_10527,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2473]) ).
tcf(c_10528,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2473]) ).
tcf(c_10529,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2473]) ).
tcf(c_10530,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2473]) ).
tcf(c_10531,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2473]) ).
tcf(c_10532,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2473]) ).
tcf(c_10533,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2473]) ).
tcf(c_10534,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2473]) ).
tcf(c_10535,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2473]) ).
tcf(c_10536,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2473]) ).
tcf(c_10537,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2473]) ).
tcf(c_10538,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2473]) ).
tcf(c_10539,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2473]) ).
tcf(c_10540,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2473]) ).
tcf(c_10541,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2473]) ).
tcf(c_10542,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2473]) ).
tcf(c_10543,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2473]) ).
tcf(c_10544,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2473]) ).
tcf(c_10545,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2473]) ).
tcf(c_10574,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xS)))
| ~ aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[c_1212]) ).
tcf(c_10839,plain,
sdtasdt0(xR,smndt0(xS)) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_9390,c_9615]) ).
tcf(c_10842,plain,
sdtasdt0(smndt0(xS),xR) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_9390,c_8075]) ).
tcf(c_10846,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xS,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_9390,c_5120]) ).
tcf(c_10847,plain,
sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9390,c_5119]) ).
tcf(c_10848,plain,
smndt0(sdtasdt0(xR,smndt0(xS))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9390,c_5121]) ).
tcf(c_10868,plain,
smndt0(sdtasdt0(xN,smndt0(xS))) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_6494,c_9423]) ).
tcf(c_10870,plain,
smndt0(sdtasdt0(xN,smndt0(xN))) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_6497,c_9430]) ).
tcf(c_10884,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_9614,c_5260]) ).
tcf(c_10885,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9614,c_5259]) ).
tcf(c_10896,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6399,c_10161]) ).
tcf(c_10897,plain,
smndt0(sdtasdt0(xN,sz0z00)) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_6202,c_10161]) ).
tcf(c_10908,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10897,c_6320]) ).
tcf(c_10919,plain,
smndt0(sdtasdt0(smndt0(xS),xR)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_10378,c_7464]) ).
tcf(c_10939,plain,
smndt0(sdtasdt0(xS,smndt0(xR))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_10449,c_7464]) ).
tcf(c_10949,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(xN,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_10481,c_6428]) ).
tcf(c_10950,plain,
sdtpldt0(sdtasdt0(xN,xR),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_10481,c_6427]) ).
tcf(c_10962,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(xN,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_10482,c_6517]) ).
tcf(c_10963,plain,
sdtpldt0(sdtasdt0(xN,xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_10482,c_6516]) ).
tcf(c_10979,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_10483,c_6236]) ).
tcf(c_10980,plain,
sdtpldt0(sdtasdt0(xN,xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_10483,c_6235]) ).
tcf(c_11012,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2518]) ).
tcf(c_11013,plain,
sdtasdt0(sz0z00,smndt0(xR)) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_1147,c_2518]) ).
tcf(c_11014,plain,
sdtasdt0(sz0z00,smndt0(xS)) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_1143,c_2518]) ).
tcf(c_11015,plain,
sdtasdt0(sz0z00,smndt0(xN)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_1141,c_2518]) ).
tcf(c_11016,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2518]) ).
tcf(c_11017,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sz0z00,smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(sz0z00,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2518]) ).
tcf(c_11018,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2518]) ).
tcf(c_11019,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sz0z00,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(sz0z00,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2518]) ).
tcf(c_11020,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2518]) ).
tcf(c_11021,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2518]) ).
tcf(c_11022,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2518]) ).
tcf(c_11023,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2518]) ).
tcf(c_11024,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2518]) ).
tcf(c_11025,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2518]) ).
tcf(c_11026,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2518]) ).
tcf(c_11027,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2518]) ).
tcf(c_11028,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2518]) ).
tcf(c_11029,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2518]) ).
tcf(c_11030,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2518]) ).
tcf(c_11031,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2518]) ).
tcf(c_11032,plain,
sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2518]) ).
tcf(c_11033,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2518]) ).
tcf(c_11034,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2518]) ).
tcf(c_11035,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2518]) ).
tcf(c_11036,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2518]) ).
tcf(c_11037,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2518]) ).
tcf(c_11038,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2518]) ).
tcf(c_11039,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2518]) ).
tcf(c_11040,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2518]) ).
tcf(c_11041,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2518]) ).
tcf(c_11042,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2518]) ).
tcf(c_11043,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2518]) ).
tcf(c_11044,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2518]) ).
tcf(c_11045,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2518]) ).
tcf(c_11046,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2518]) ).
tcf(c_11047,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2518]) ).
tcf(c_11048,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2518]) ).
tcf(c_11049,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2518]) ).
tcf(c_11050,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2518]) ).
tcf(c_11051,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2518]) ).
tcf(c_11052,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2518]) ).
tcf(c_11053,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2518]) ).
tcf(c_11054,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2518]) ).
tcf(c_11055,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2518]) ).
tcf(c_11056,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2518]) ).
tcf(c_11057,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2518]) ).
tcf(c_11058,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2518]) ).
tcf(c_11059,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2518]) ).
tcf(c_11060,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2518]) ).
tcf(c_11061,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2518]) ).
tcf(c_11062,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2518]) ).
tcf(c_11063,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2518]) ).
tcf(c_11064,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2518]) ).
tcf(c_11065,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2518]) ).
tcf(c_11066,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2518]) ).
tcf(c_11067,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2518]) ).
tcf(c_11068,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2518]) ).
tcf(c_11069,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2518]) ).
tcf(c_11070,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2518]) ).
tcf(c_11071,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2518]) ).
tcf(c_11072,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2518]) ).
tcf(c_11073,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2518]) ).
tcf(c_11074,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2518]) ).
tcf(c_11075,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2518]) ).
tcf(c_11076,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2518]) ).
tcf(c_11077,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2518]) ).
tcf(c_11364,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_10480,c_6320]) ).
tcf(c_11365,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10480,c_6319]) ).
tcf(c_11405,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_10939,c_5606]) ).
tcf(c_11406,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(sz0z00,sz0z00)) ),
inference(superposition,[status(thm)],[c_11012,c_1211]) ).
tcf(c_11407,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xR)))
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11013,c_1211]) ).
tcf(c_11408,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xS)))
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11014,c_1211]) ).
tcf(c_11428,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xN)))
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11015,c_1211]) ).
tcf(c_11429,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_11406,c_56,c_156,c_11406]) ).
tcf(c_11431,plain,
aScalar0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_1131,c_11429]) ).
tcf(c_11432,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2518]) ).
tcf(c_11433,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2473]) ).
tcf(c_11434,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2472]) ).
tcf(c_11435,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2471]) ).
tcf(c_11436,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2452]) ).
tcf(c_11437,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2451]) ).
tcf(c_11438,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2450]) ).
tcf(c_11439,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2425]) ).
tcf(c_11440,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2424]) ).
tcf(c_11441,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2423]) ).
tcf(c_11442,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_11429,c_2380]) ).
tcf(c_11443,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11429,c_2372]) ).
tcf(c_11444,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1197]) ).
tcf(c_11445,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1199]) ).
tcf(c_11446,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1198]) ).
tcf(c_11447,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1203]) ).
tcf(c_11448,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1201]) ).
tcf(c_11449,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2367]) ).
tcf(c_11450,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1196]) ).
tcf(c_11451,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1195]) ).
tcf(c_11452,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11429,c_1194]) ).
tcf(c_11453,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11429,c_1206]) ).
tcf(c_11454,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11429,c_1205]) ).
tcf(c_11455,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_11429,c_1204]) ).
tcf(c_11586,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2518]) ).
tcf(c_11587,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2473]) ).
tcf(c_11588,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2472]) ).
tcf(c_11589,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2471]) ).
tcf(c_11590,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2452]) ).
tcf(c_11591,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2451]) ).
tcf(c_11592,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2450]) ).
tcf(c_11593,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(xN,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2425]) ).
tcf(c_11594,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(xS,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2424]) ).
tcf(c_11595,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(xR,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2423]) ).
tcf(c_11596,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11431,c_2380]) ).
tcf(c_11597,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11431,c_2372]) ).
tcf(c_11598,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1197]) ).
tcf(c_11599,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1199]) ).
tcf(c_11600,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1198]) ).
tcf(c_11601,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1203]) ).
tcf(c_11602,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1201]) ).
tcf(c_11603,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2367]) ).
tcf(c_11604,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1196]) ).
tcf(c_11605,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1195]) ).
tcf(c_11606,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_11431,c_1194]) ).
tcf(c_11607,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11431,c_1206]) ).
tcf(c_11608,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_11431,c_1205]) ).
tcf(c_11609,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11431,c_1204]) ).
tcf(c_11680,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_11405,c_4028]) ).
tcf(c_11681,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_11405,c_4027]) ).
tcf(c_11695,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2518]) ).
tcf(c_11696,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2473]) ).
tcf(c_11697,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2472]) ).
tcf(c_11698,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2471]) ).
tcf(c_11699,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2452]) ).
tcf(c_11700,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2451]) ).
tcf(c_11701,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2450]) ).
tcf(c_11702,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2425]) ).
tcf(c_11703,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2424]) ).
tcf(c_11704,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2423]) ).
tcf(c_11705,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2380]) ).
tcf(c_11706,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2372]) ).
tcf(c_11707,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1197]) ).
tcf(c_11708,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1199]) ).
tcf(c_11709,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1198]) ).
tcf(c_11710,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1203]) ).
tcf(c_11711,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1201]) ).
tcf(c_11712,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,smndt0(xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2367]) ).
tcf(c_11713,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1196]) ).
tcf(c_11714,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1195]) ).
tcf(c_11715,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1194]) ).
tcf(c_11716,plain,
( ( sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1206]) ).
tcf(c_11717,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1205]) ).
tcf(c_11718,plain,
( ( smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_1204]) ).
tcf(c_11813,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2518]) ).
tcf(c_11814,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2473]) ).
tcf(c_11815,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2472]) ).
tcf(c_11816,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2471]) ).
tcf(c_11817,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2452]) ).
tcf(c_11818,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2451]) ).
tcf(c_11819,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2450]) ).
tcf(c_11820,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2425]) ).
tcf(c_11821,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2424]) ).
tcf(c_11822,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2423]) ).
tcf(c_11823,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2380]) ).
tcf(c_11824,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2372]) ).
tcf(c_11825,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1197]) ).
tcf(c_11826,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1199]) ).
tcf(c_11827,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1198]) ).
tcf(c_11828,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1203]) ).
tcf(c_11829,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1201]) ).
tcf(c_11830,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,smndt0(xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2367]) ).
tcf(c_11831,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1196]) ).
tcf(c_11832,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1195]) ).
tcf(c_11833,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1194]) ).
tcf(c_11834,plain,
( ( sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1206]) ).
tcf(c_11835,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1205]) ).
tcf(c_11836,plain,
( ( smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_1204]) ).
tcf(c_11941,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2518]) ).
tcf(c_11942,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2473]) ).
tcf(c_11943,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2472]) ).
tcf(c_11944,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2471]) ).
tcf(c_11945,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2452]) ).
tcf(c_11946,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2451]) ).
tcf(c_11947,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2450]) ).
tcf(c_11948,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2425]) ).
tcf(c_11949,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2424]) ).
tcf(c_11950,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2423]) ).
tcf(c_11951,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2380]) ).
tcf(c_11952,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2372]) ).
tcf(c_11953,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1197]) ).
tcf(c_11954,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1199]) ).
tcf(c_11955,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1198]) ).
tcf(c_11956,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1203]) ).
tcf(c_11957,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1201]) ).
tcf(c_11958,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,smndt0(xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2367]) ).
tcf(c_11959,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1196]) ).
tcf(c_11960,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1195]) ).
tcf(c_11961,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1194]) ).
tcf(c_11962,plain,
( ( sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1206]) ).
tcf(c_11963,plain,
( ( sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1205]) ).
tcf(c_11964,plain,
( ( smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_1204]) ).
tcf(c_11992,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11012,c_11609]) ).
tcf(c_12053,plain,
smndt0(sdtasdt0(sz0z00,sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_1131,c_11992]) ).
tcf(c_12055,plain,
sdtasdt0(sz0z00,smndt0(sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11012,c_12053]) ).
tcf(c_12066,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(xR,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_10378,c_7462]) ).
tcf(c_12070,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),xN) = sz0z00,
inference(superposition,[status(thm)],[c_1140,c_7462]) ).
tcf(c_12072,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),xN) = sz0z00,
inference(superposition,[status(thm)],[c_10449,c_12070]) ).
tcf(c_12073,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),xN) = sz0z00,
inference(superposition,[status(thm)],[c_10378,c_12070]) ).
tcf(c_12075,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),xN) = sz0z00,
inference(superposition,[status(thm)],[c_4007,c_12070]) ).
tcf(c_12077,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12053,c_11607]) ).
tcf(c_12078,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11012,c_11607]) ).
tcf(c_12081,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_11012,c_11608]) ).
tcf(c_12087,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2519]) ).
tcf(c_12088,plain,
sdtasdt0(smndt0(sz0z00),xR) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_1147,c_2519]) ).
tcf(c_12089,plain,
sdtasdt0(smndt0(sz0z00),xS) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_1143,c_2519]) ).
tcf(c_12090,plain,
sdtasdt0(smndt0(sz0z00),xN) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_1141,c_2519]) ).
tcf(c_12091,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2519]) ).
tcf(c_12092,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2519]) ).
tcf(c_12093,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sz0z00,smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2519]) ).
tcf(c_12094,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2519]) ).
tcf(c_12095,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(sz0z00,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2519]) ).
tcf(c_12096,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2519]) ).
tcf(c_12097,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2519]) ).
tcf(c_12098,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2519]) ).
tcf(c_12099,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2519]) ).
tcf(c_12100,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2519]) ).
tcf(c_12101,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2519]) ).
tcf(c_12102,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2519]) ).
tcf(c_12103,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2519]) ).
tcf(c_12104,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2519]) ).
tcf(c_12105,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2519]) ).
tcf(c_12106,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2519]) ).
tcf(c_12107,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2519]) ).
tcf(c_12108,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2519]) ).
tcf(c_12109,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2519]) ).
tcf(c_12110,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2519]) ).
tcf(c_12111,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2519]) ).
tcf(c_12112,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2519]) ).
tcf(c_12113,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2519]) ).
tcf(c_12114,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2519]) ).
tcf(c_12115,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2519]) ).
tcf(c_12116,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2519]) ).
tcf(c_12117,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2519]) ).
tcf(c_12118,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2519]) ).
tcf(c_12119,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2519]) ).
tcf(c_12120,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2519]) ).
tcf(c_12121,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2519]) ).
tcf(c_12122,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2519]) ).
tcf(c_12123,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2519]) ).
tcf(c_12124,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2519]) ).
tcf(c_12125,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2519]) ).
tcf(c_12126,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2519]) ).
tcf(c_12127,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2519]) ).
tcf(c_12128,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2519]) ).
tcf(c_12129,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2519]) ).
tcf(c_12130,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2519]) ).
tcf(c_12131,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2519]) ).
tcf(c_12132,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2519]) ).
tcf(c_12133,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2519]) ).
tcf(c_12134,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2519]) ).
tcf(c_12135,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2519]) ).
tcf(c_12136,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2519]) ).
tcf(c_12137,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2519]) ).
tcf(c_12138,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2519]) ).
tcf(c_12139,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2519]) ).
tcf(c_12140,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2519]) ).
tcf(c_12141,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2519]) ).
tcf(c_12142,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2519]) ).
tcf(c_12143,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2519]) ).
tcf(c_12144,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2519]) ).
tcf(c_12145,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2519]) ).
tcf(c_12146,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2519]) ).
tcf(c_12147,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2519]) ).
tcf(c_12148,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2519]) ).
tcf(c_12149,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2519]) ).
tcf(c_12150,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2519]) ).
tcf(c_12151,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2519]) ).
tcf(c_12152,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2519]) ).
tcf(c_12153,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2519]) ).
tcf(c_12154,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2519]) ).
tcf(c_12155,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_11407,c_2519]) ).
tcf(c_12156,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_11408,c_2519]) ).
tcf(c_12157,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_11428,c_2519]) ).
tcf(c_12367,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12087,c_11608]) ).
tcf(c_12368,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12087,c_11607]) ).
tcf(c_12369,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_12087,c_12053]) ).
tcf(c_12370,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_12087,c_11609]) ).
tcf(c_12371,plain,
sdtasdt0(smndt0(sz0z00),sz0z00) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_12087,c_11012]) ).
tcf(c_12372,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),sz0z00))
| ~ aScalar0(sdtasdt0(sz0z00,sz0z00)) ),
inference(superposition,[status(thm)],[c_12087,c_1211]) ).
tcf(c_12411,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),xR))
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12088,c_1211]) ).
tcf(c_12412,plain,
sdtasdt0(smndt0(sz0z00),xR) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_12088,c_11013]) ).
tcf(c_12414,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),xS))
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12089,c_1211]) ).
tcf(c_12415,plain,
sdtasdt0(smndt0(sz0z00),xS) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_12089,c_11014]) ).
tcf(c_12417,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),xN))
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12090,c_1211]) ).
tcf(c_12418,plain,
sdtasdt0(smndt0(sz0z00),xN) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_12090,c_11015]) ).
tcf(c_12426,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_12372,c_56,c_156,c_12372]) ).
tcf(c_12431,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2519]) ).
tcf(c_12432,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2518]) ).
tcf(c_12433,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2473]) ).
tcf(c_12434,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2472]) ).
tcf(c_12435,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2471]) ).
tcf(c_12436,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2452]) ).
tcf(c_12437,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2451]) ).
tcf(c_12438,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2450]) ).
tcf(c_12439,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2425]) ).
tcf(c_12440,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2424]) ).
tcf(c_12441,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2423]) ).
tcf(c_12442,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_12426,c_2380]) ).
tcf(c_12443,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12426,c_2372]) ).
tcf(c_12444,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1197]) ).
tcf(c_12445,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1199]) ).
tcf(c_12446,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1198]) ).
tcf(c_12447,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1203]) ).
tcf(c_12448,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1201]) ).
tcf(c_12449,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2367]) ).
tcf(c_12450,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1196]) ).
tcf(c_12451,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1195]) ).
tcf(c_12452,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12426,c_1194]) ).
tcf(c_12453,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12426,c_1206]) ).
tcf(c_12454,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12426,c_1205]) ).
tcf(c_12455,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_12426,c_1204]) ).
tcf(c_12528,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2519]) ).
tcf(c_12529,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2518]) ).
tcf(c_12530,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2473]) ).
tcf(c_12531,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2472]) ).
tcf(c_12532,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2471]) ).
tcf(c_12533,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2452]) ).
tcf(c_12534,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2451]) ).
tcf(c_12535,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2450]) ).
tcf(c_12536,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2425]) ).
tcf(c_12537,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2424]) ).
tcf(c_12538,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2423]) ).
tcf(c_12539,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2380]) ).
tcf(c_12540,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2372]) ).
tcf(c_12541,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1197]) ).
tcf(c_12542,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1199]) ).
tcf(c_12543,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1198]) ).
tcf(c_12544,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1203]) ).
tcf(c_12545,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1201]) ).
tcf(c_12546,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2367]) ).
tcf(c_12547,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1196]) ).
tcf(c_12548,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1195]) ).
tcf(c_12549,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1194]) ).
tcf(c_12550,plain,
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1206]) ).
tcf(c_12551,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1205]) ).
tcf(c_12552,plain,
( ( smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(sz0z00),xR) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_1204]) ).
tcf(c_12670,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2519]) ).
tcf(c_12671,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2518]) ).
tcf(c_12672,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2473]) ).
tcf(c_12673,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2472]) ).
tcf(c_12674,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2471]) ).
tcf(c_12675,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2452]) ).
tcf(c_12676,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2451]) ).
tcf(c_12677,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2450]) ).
tcf(c_12678,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2425]) ).
tcf(c_12679,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2424]) ).
tcf(c_12680,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2423]) ).
tcf(c_12681,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2380]) ).
tcf(c_12682,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2372]) ).
tcf(c_12683,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1197]) ).
tcf(c_12684,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1199]) ).
tcf(c_12685,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1198]) ).
tcf(c_12686,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1203]) ).
tcf(c_12687,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1201]) ).
tcf(c_12688,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2367]) ).
tcf(c_12689,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1196]) ).
tcf(c_12690,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1195]) ).
tcf(c_12691,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1194]) ).
tcf(c_12692,plain,
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1206]) ).
tcf(c_12693,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1205]) ).
tcf(c_12694,plain,
( ( smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(sz0z00),xS) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_1204]) ).
tcf(c_12720,plain,
( ( sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2519]) ).
tcf(c_12721,plain,
( ( sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2518]) ).
tcf(c_12722,plain,
( ( sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2473]) ).
tcf(c_12723,plain,
( ( sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2472]) ).
tcf(c_12724,plain,
( ( sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2471]) ).
tcf(c_12725,plain,
( ( sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2452]) ).
tcf(c_12726,plain,
( ( sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2451]) ).
tcf(c_12727,plain,
( ( sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2450]) ).
tcf(c_12728,plain,
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2425]) ).
tcf(c_12729,plain,
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2424]) ).
tcf(c_12730,plain,
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2423]) ).
tcf(c_12731,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2380]) ).
tcf(c_12732,plain,
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2372]) ).
tcf(c_12733,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1197]) ).
tcf(c_12734,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1199]) ).
tcf(c_12735,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1198]) ).
tcf(c_12736,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1203]) ).
tcf(c_12737,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1201]) ).
tcf(c_12738,plain,
( ( smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2367]) ).
tcf(c_12739,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1196]) ).
tcf(c_12740,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1195]) ).
tcf(c_12741,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0)
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1194]) ).
tcf(c_12742,plain,
( ( sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1206]) ).
tcf(c_12743,plain,
( ( sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00 )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1205]) ).
tcf(c_12744,plain,
( ( smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(sz0z00),xN) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_1204]) ).
tcf(c_12869,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_1131,c_12412]) ).
tcf(c_12870,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xR)))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_12412,c_1212]) ).
tcf(c_12872,plain,
( aScalar0(sdtasdt0(sz0z00,xR))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xR)) ),
inference(superposition,[status(thm)],[c_12869,c_1212]) ).
tcf(c_12874,plain,
sdtasdt0(sz0z00,smndt0(xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_1131,c_12415]) ).
tcf(c_12875,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xS)))
| ~ aScalar0(xS)
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_12415,c_1212]) ).
tcf(c_12877,plain,
( aScalar0(sdtasdt0(sz0z00,xS))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_12874,c_1212]) ).
tcf(c_12879,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_1131,c_12418]) ).
tcf(c_12880,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(xN)))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(sz0z00)) ),
inference(superposition,[status(thm)],[c_12418,c_1212]) ).
tcf(c_12882,plain,
( aScalar0(sdtasdt0(sz0z00,xN))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[status(thm)],[c_12879,c_1212]) ).
tcf(c_12885,plain,
sdtpldt0(xN,sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_1140,c_7463]) ).
tcf(c_12887,plain,
sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_10378,c_7463]) ).
tcf(c_12891,plain,
sdtpldt0(xN,sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_10449,c_12885]) ).
tcf(c_12892,plain,
sdtpldt0(xN,sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_10378,c_12885]) ).
tcf(c_12894,plain,
sdtpldt0(xN,sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_4007,c_12885]) ).
tcf(c_12971,plain,
aScalar0(sdtasdt0(sz0z00,xR)),
inference(global_subsumption_just,[status(thm)],[c_12872,c_125,c_56,c_2872,c_12872]) ).
tcf(c_12973,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2519]) ).
tcf(c_12974,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2518]) ).
tcf(c_12975,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2473]) ).
tcf(c_12976,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2472]) ).
tcf(c_12977,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2471]) ).
tcf(c_12978,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2452]) ).
tcf(c_12979,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2451]) ).
tcf(c_12980,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2450]) ).
tcf(c_12981,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(xN,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2425]) ).
tcf(c_12982,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(xS,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2424]) ).
tcf(c_12983,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(xR,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2423]) ).
tcf(c_12984,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_12971,c_2380]) ).
tcf(c_12985,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_12971,c_2372]) ).
tcf(c_12986,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1197]) ).
tcf(c_12987,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1199]) ).
tcf(c_12988,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1198]) ).
tcf(c_12989,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1203]) ).
tcf(c_12990,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1201]) ).
tcf(c_12991,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2367]) ).
tcf(c_12992,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1196]) ).
tcf(c_12993,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1195]) ).
tcf(c_12994,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_12971,c_1194]) ).
tcf(c_12995,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_12971,c_1206]) ).
tcf(c_12996,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_12971,c_1205]) ).
tcf(c_12997,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_12971,c_1204]) ).
tcf(c_13182,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_12088,c_12997]) ).
tcf(c_13183,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_11013,c_12997]) ).
tcf(c_13185,plain,
aScalar0(sdtasdt0(sz0z00,xS)),
inference(global_subsumption_just,[status(thm)],[c_12877,c_129,c_56,c_2465,c_12877]) ).
tcf(c_13187,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2519]) ).
tcf(c_13188,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2518]) ).
tcf(c_13189,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2473]) ).
tcf(c_13190,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2472]) ).
tcf(c_13191,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2471]) ).
tcf(c_13192,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2452]) ).
tcf(c_13193,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2451]) ).
tcf(c_13194,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2450]) ).
tcf(c_13195,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(xN,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2425]) ).
tcf(c_13196,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(xS,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2424]) ).
tcf(c_13197,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(xR,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2423]) ).
tcf(c_13198,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_13185,c_2380]) ).
tcf(c_13199,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_13185,c_2372]) ).
tcf(c_13200,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1197]) ).
tcf(c_13201,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1199]) ).
tcf(c_13202,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1198]) ).
tcf(c_13203,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1203]) ).
tcf(c_13204,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1201]) ).
tcf(c_13205,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2367]) ).
tcf(c_13206,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1196]) ).
tcf(c_13207,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1195]) ).
tcf(c_13208,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13185,c_1194]) ).
tcf(c_13209,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_13185,c_1206]) ).
tcf(c_13210,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_13185,c_1205]) ).
tcf(c_13211,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_13185,c_1204]) ).
tcf(c_13331,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_12089,c_13211]) ).
tcf(c_13332,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_11014,c_13211]) ).
tcf(c_13335,plain,
smndt0(sdtasdt0(sz0z00,xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_1131,c_13182]) ).
tcf(c_13348,plain,
sdtasdt0(smndt0(sz0z00),xR) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_13335,c_12088]) ).
tcf(c_13375,plain,
smndt0(sdtasdt0(sz0z00,xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_1131,c_13331]) ).
tcf(c_13380,plain,
sdtasdt0(smndt0(sz0z00),xS) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_13375,c_12089]) ).
tcf(c_13401,plain,
aScalar0(sdtasdt0(sz0z00,xN)),
inference(global_subsumption_just,[status(thm)],[c_12882,c_129,c_125,c_56,c_2383,c_2465,c_12882]) ).
tcf(c_13403,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2519]) ).
tcf(c_13404,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2518]) ).
tcf(c_13405,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2473]) ).
tcf(c_13406,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2472]) ).
tcf(c_13407,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2471]) ).
tcf(c_13408,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2452]) ).
tcf(c_13409,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2451]) ).
tcf(c_13410,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2450]) ).
tcf(c_13411,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(xN,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2425]) ).
tcf(c_13412,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(xS,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2424]) ).
tcf(c_13413,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(xR,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2423]) ).
tcf(c_13414,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_13401,c_2380]) ).
tcf(c_13415,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_13401,c_2372]) ).
tcf(c_13416,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1197]) ).
tcf(c_13417,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1199]) ).
tcf(c_13418,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1198]) ).
tcf(c_13419,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1203]) ).
tcf(c_13420,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1201]) ).
tcf(c_13421,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2367]) ).
tcf(c_13422,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1196]) ).
tcf(c_13423,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1195]) ).
tcf(c_13424,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13401,c_1194]) ).
tcf(c_13425,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_13401,c_1206]) ).
tcf(c_13426,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_13401,c_1205]) ).
tcf(c_13427,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_13401,c_1204]) ).
tcf(c_13559,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_12090,c_13427]) ).
tcf(c_13560,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_11015,c_13427]) ).
tcf(c_13562,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_13335,c_12995]) ).
tcf(c_13563,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_12088,c_12995]) ).
tcf(c_13564,plain,
sdtpldt0(sdtasdt0(sz0z00,xR),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_11013,c_12995]) ).
tcf(c_13567,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_12088,c_12996]) ).
tcf(c_13568,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(sz0z00,xR)) = sz0z00,
inference(superposition,[status(thm)],[c_11013,c_12996]) ).
tcf(c_13571,plain,
smndt0(sdtasdt0(sz0z00,xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_1131,c_13559]) ).
tcf(c_13576,plain,
sdtasdt0(smndt0(sz0z00),xN) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_13571,c_12090]) ).
tcf(c_13605,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_13375,c_13209]) ).
tcf(c_13606,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_12089,c_13209]) ).
tcf(c_13607,plain,
sdtpldt0(sdtasdt0(sz0z00,xS),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_11014,c_13209]) ).
tcf(c_13610,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_12089,c_13210]) ).
tcf(c_13611,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(sz0z00,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_11014,c_13210]) ).
tcf(c_13613,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_13571,c_13425]) ).
tcf(c_13614,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_12090,c_13425]) ).
tcf(c_13615,plain,
sdtpldt0(sdtasdt0(sz0z00,xN),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_11015,c_13425]) ).
tcf(c_13618,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_12090,c_13426]) ).
tcf(c_13619,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,xN)) = sz0z00,
inference(superposition,[status(thm)],[c_11015,c_13426]) ).
tcf(c_13649,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_12870,c_125,c_56,c_143,c_12870]) ).
tcf(c_13652,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2519]) ).
tcf(c_13653,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2518]) ).
tcf(c_13654,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2473]) ).
tcf(c_13655,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2472]) ).
tcf(c_13656,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2471]) ).
tcf(c_13657,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2452]) ).
tcf(c_13658,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2451]) ).
tcf(c_13659,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2450]) ).
tcf(c_13660,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2425]) ).
tcf(c_13661,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2424]) ).
tcf(c_13662,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2423]) ).
tcf(c_13663,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_13649,c_2380]) ).
tcf(c_13664,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_13649,c_2372]) ).
tcf(c_13665,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1197]) ).
tcf(c_13666,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1199]) ).
tcf(c_13667,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1198]) ).
tcf(c_13668,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1203]) ).
tcf(c_13669,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1201]) ).
tcf(c_13670,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2367]) ).
tcf(c_13671,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1196]) ).
tcf(c_13672,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1195]) ).
tcf(c_13673,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13649,c_1194]) ).
tcf(c_13674,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_13649,c_1206]) ).
tcf(c_13675,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_13649,c_1205]) ).
tcf(c_13676,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_13649,c_1204]) ).
tcf(c_13750,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_12875,c_129,c_56,c_143,c_12875]) ).
tcf(c_13753,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2519]) ).
tcf(c_13754,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2518]) ).
tcf(c_13755,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2473]) ).
tcf(c_13756,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2472]) ).
tcf(c_13757,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2471]) ).
tcf(c_13758,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2452]) ).
tcf(c_13759,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2451]) ).
tcf(c_13760,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2450]) ).
tcf(c_13761,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2425]) ).
tcf(c_13762,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2424]) ).
tcf(c_13763,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2423]) ).
tcf(c_13764,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_13750,c_2380]) ).
tcf(c_13765,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_13750,c_2372]) ).
tcf(c_13766,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1197]) ).
tcf(c_13767,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1199]) ).
tcf(c_13768,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1198]) ).
tcf(c_13769,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1203]) ).
tcf(c_13770,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1201]) ).
tcf(c_13771,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2367]) ).
tcf(c_13772,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1196]) ).
tcf(c_13773,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1195]) ).
tcf(c_13774,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13750,c_1194]) ).
tcf(c_13775,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_13750,c_1206]) ).
tcf(c_13776,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_13750,c_1205]) ).
tcf(c_13777,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_13750,c_1204]) ).
tcf(c_13832,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_12880,c_131,c_56,c_143,c_12880]) ).
tcf(c_13835,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2519]) ).
tcf(c_13836,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2518]) ).
tcf(c_13837,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2473]) ).
tcf(c_13838,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2472]) ).
tcf(c_13839,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2471]) ).
tcf(c_13840,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2452]) ).
tcf(c_13841,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2451]) ).
tcf(c_13842,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2450]) ).
tcf(c_13843,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2425]) ).
tcf(c_13844,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2424]) ).
tcf(c_13845,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2423]) ).
tcf(c_13846,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_13832,c_2380]) ).
tcf(c_13847,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_13832,c_2372]) ).
tcf(c_13848,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1197]) ).
tcf(c_13849,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1199]) ).
tcf(c_13850,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1198]) ).
tcf(c_13851,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1203]) ).
tcf(c_13852,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1201]) ).
tcf(c_13853,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2367]) ).
tcf(c_13854,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1196]) ).
tcf(c_13855,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1195]) ).
tcf(c_13856,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_13832,c_1194]) ).
tcf(c_13857,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_13832,c_1206]) ).
tcf(c_13858,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_13832,c_1205]) ).
tcf(c_13859,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_13832,c_1204]) ).
tcf(c_13987,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2520]) ).
tcf(c_13988,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_1147,c_2520]) ).
tcf(c_13989,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_1143,c_2520]) ).
tcf(c_13990,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_1141,c_2520]) ).
tcf(c_13991,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2520]) ).
tcf(c_13992,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2520]) ).
tcf(c_13993,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(sz0z00,smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2520]) ).
tcf(c_13994,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(sz0z00,sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2520]) ).
tcf(c_13995,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(sz0z00,sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2520]) ).
tcf(c_13996,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2520]) ).
tcf(c_13997,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2520]) ).
tcf(c_13998,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2520]) ).
tcf(c_13999,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2520]) ).
tcf(c_14000,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2520]) ).
tcf(c_14001,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(sz0z00,sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2520]) ).
tcf(c_14002,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2520]) ).
tcf(c_14003,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2520]) ).
tcf(c_14004,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2520]) ).
tcf(c_14005,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2520]) ).
tcf(c_14006,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2520]) ).
tcf(c_14007,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2520]) ).
tcf(c_14008,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2520]) ).
tcf(c_14009,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2520]) ).
tcf(c_14010,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2520]) ).
tcf(c_14011,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2520]) ).
tcf(c_14012,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(sz0z00,sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2520]) ).
tcf(c_14013,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2520]) ).
tcf(c_14014,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2520]) ).
tcf(c_14015,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2520]) ).
tcf(c_14016,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2520]) ).
tcf(c_14017,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2520]) ).
tcf(c_14018,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2520]) ).
tcf(c_14019,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2520]) ).
tcf(c_14020,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2520]) ).
tcf(c_14021,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2520]) ).
tcf(c_14022,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(sz0z00,sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2520]) ).
tcf(c_14023,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2520]) ).
tcf(c_14024,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2520]) ).
tcf(c_14025,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2520]) ).
tcf(c_14026,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2520]) ).
tcf(c_14027,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2520]) ).
tcf(c_14028,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2520]) ).
tcf(c_14029,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2520]) ).
tcf(c_14030,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2520]) ).
tcf(c_14031,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2520]) ).
tcf(c_14032,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(sz0z00,sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2520]) ).
tcf(c_14033,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(sz0z00,sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2520]) ).
tcf(c_14034,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(sz0z00,sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2520]) ).
tcf(c_14035,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2520]) ).
tcf(c_14036,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2520]) ).
tcf(c_14037,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2520]) ).
tcf(c_14038,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2520]) ).
tcf(c_14039,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2520]) ).
tcf(c_14040,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2520]) ).
tcf(c_14041,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2520]) ).
tcf(c_14042,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2520]) ).
tcf(c_14043,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2520]) ).
tcf(c_14044,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2520]) ).
tcf(c_14045,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2520]) ).
tcf(c_14046,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2520]) ).
tcf(c_14047,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2520]) ).
tcf(c_14048,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2520]) ).
tcf(c_14049,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2520]) ).
tcf(c_14050,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2520]) ).
tcf(c_14051,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2520]) ).
tcf(c_14052,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2520]) ).
tcf(c_14053,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2520]) ).
tcf(c_14054,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2520]) ).
tcf(c_14055,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2520]) ).
tcf(c_14057,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2520]) ).
tcf(c_14058,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2520]) ).
tcf(c_14060,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2520]) ).
tcf(c_14061,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2520]) ).
tcf(c_14063,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2520]) ).
tcf(c_14064,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2520]) ).
tcf(c_14065,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR)) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2520]) ).
tcf(c_14066,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS)) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2520]) ).
tcf(c_14067,plain,
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN)) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2520]) ).
tcf(c_14353,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2580]) ).
tcf(c_14354,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(smndt0(smndt0(X0_iProver_smndt0_0))))) = smndt0(smndt0(smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2580]) ).
tcf(c_14355,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))))) = smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2580]) ).
tcf(c_14356,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( smndt0(smndt0(smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))))) = smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2580]) ).
tcf(c_14360,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = smndt0(smndt0(sdtasdt0(xS,xS))) )
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[status(thm)],[c_2385,c_2580]) ).
tcf(c_14366,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2580]) ).
tcf(c_14367,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2580]) ).
tcf(c_14368,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2580]) ).
tcf(c_14369,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))))) = smndt0(smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2580]) ).
tcf(c_14370,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2580]) ).
tcf(c_14374,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2580]) ).
tcf(c_14375,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2580]) ).
tcf(c_14376,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2580]) ).
tcf(c_14377,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2580]) ).
tcf(c_14378,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2580]) ).
tcf(c_14379,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2580]) ).
tcf(c_14380,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2580]) ).
tcf(c_14381,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2580]) ).
tcf(c_14385,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2580]) ).
tcf(c_14386,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2580]) ).
tcf(c_14387,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2580]) ).
tcf(c_14388,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2580]) ).
tcf(c_14389,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2580]) ).
tcf(c_14390,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2580]) ).
tcf(c_14391,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2580]) ).
tcf(c_14396,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2580]) ).
tcf(c_14397,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2580]) ).
tcf(c_14398,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2580]) ).
tcf(c_14399,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2580]) ).
tcf(c_14400,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2580]) ).
tcf(c_14401,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2580]) ).
tcf(c_14402,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2580]) ).
tcf(c_14403,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2580]) ).
tcf(c_14404,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2580]) ).
tcf(c_14405,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2580]) ).
tcf(c_14406,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2580]) ).
tcf(c_14407,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2580]) ).
tcf(c_14408,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2580]) ).
tcf(c_14409,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2580]) ).
tcf(c_14410,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2580]) ).
tcf(c_14411,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2580]) ).
tcf(c_14412,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2580]) ).
tcf(c_14413,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2580]) ).
tcf(c_14414,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2580]) ).
tcf(c_14415,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2580]) ).
tcf(c_14416,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2580]) ).
tcf(c_14418,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = smndt0(smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2580]) ).
tcf(c_14419,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2580]) ).
tcf(c_14421,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = smndt0(smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2580]) ).
tcf(c_14422,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2580]) ).
tcf(c_14424,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = smndt0(smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2580]) ).
tcf(c_14425,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2580]) ).
tcf(c_14426,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))) )
| ~ aScalar0(sdtasdt0(sz0z00,xR)) ),
inference(superposition,[status(thm)],[c_12411,c_2580]) ).
tcf(c_14427,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))) )
| ~ aScalar0(sdtasdt0(sz0z00,xS)) ),
inference(superposition,[status(thm)],[c_12414,c_2580]) ).
tcf(c_14428,plain,
( ( smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))) )
| ~ aScalar0(sdtasdt0(sz0z00,xN)) ),
inference(superposition,[status(thm)],[c_12417,c_2580]) ).
tcf(c_14795,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3983,c_7275]) ).
tcf(c_14797,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(xR,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_7275,c_1211]) ).
tcf(c_14798,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7275,c_4222]) ).
tcf(c_14799,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_7275,c_4221]) ).
tcf(c_14801,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_7275,c_4223]) ).
tcf(c_14824,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(xR)))
| ~ aScalar0(sdtasdt0(xR,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_7279,c_1211]) ).
tcf(c_14825,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7279,c_4295]) ).
tcf(c_14826,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_7279,c_4294]) ).
tcf(c_14828,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xR))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_7279,c_4296]) ).
tcf(c_14842,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_14797,c_125,c_56,c_2872,c_3098,c_3980,c_14797]) ).
tcf(c_14847,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2580]) ).
tcf(c_14848,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2520]) ).
tcf(c_14849,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2519]) ).
tcf(c_14850,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2518]) ).
tcf(c_14851,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2473]) ).
tcf(c_14852,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2472]) ).
tcf(c_14853,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2471]) ).
tcf(c_14854,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2452]) ).
tcf(c_14855,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2451]) ).
tcf(c_14856,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2450]) ).
tcf(c_14857,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2425]) ).
tcf(c_14858,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2424]) ).
tcf(c_14859,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2423]) ).
tcf(c_14860,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_14842,c_2380]) ).
tcf(c_14861,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_14842,c_2372]) ).
tcf(c_14862,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1197]) ).
tcf(c_14863,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1199]) ).
tcf(c_14864,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1198]) ).
tcf(c_14865,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1203]) ).
tcf(c_14866,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1201]) ).
tcf(c_14867,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2367]) ).
tcf(c_14868,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1196]) ).
tcf(c_14869,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1195]) ).
tcf(c_14870,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14842,c_1194]) ).
tcf(c_14871,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_14842,c_1206]) ).
tcf(c_14872,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_14842,c_1205]) ).
tcf(c_14873,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_14842,c_1204]) ).
tcf(c_14952,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_14824,c_125,c_2872,c_3181,c_4005,c_14824]) ).
tcf(c_14955,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2580]) ).
tcf(c_14956,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2520]) ).
tcf(c_14957,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2519]) ).
tcf(c_14958,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2518]) ).
tcf(c_14959,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2473]) ).
tcf(c_14960,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2472]) ).
tcf(c_14961,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2471]) ).
tcf(c_14962,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2452]) ).
tcf(c_14963,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2451]) ).
tcf(c_14964,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2450]) ).
tcf(c_14965,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2425]) ).
tcf(c_14966,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2424]) ).
tcf(c_14967,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2423]) ).
tcf(c_14968,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_14952,c_2380]) ).
tcf(c_14969,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_14952,c_2372]) ).
tcf(c_14970,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1197]) ).
tcf(c_14971,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1199]) ).
tcf(c_14972,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1198]) ).
tcf(c_14973,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1203]) ).
tcf(c_14974,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1201]) ).
tcf(c_14975,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2367]) ).
tcf(c_14976,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1196]) ).
tcf(c_14977,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1195]) ).
tcf(c_14978,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_14952,c_1194]) ).
tcf(c_14979,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_14952,c_1206]) ).
tcf(c_14980,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),sdtasdt0(smndt0(xR),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_14952,c_1205]) ).
tcf(c_14981,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xR),smndt0(xR)),
inference(superposition,[status(thm)],[c_14952,c_1204]) ).
tcf(c_15050,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_10839,c_7280]) ).
tcf(c_15051,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1137,c_7280]) ).
tcf(c_15052,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(xS)))
| ~ aScalar0(sdtasdt0(xR,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_7280,c_1211]) ).
tcf(c_15053,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7280,c_4397]) ).
tcf(c_15054,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_7280,c_4396]) ).
tcf(c_15055,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_7280,c_10848]) ).
tcf(c_15057,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_7280,c_4398]) ).
tcf(c_15088,plain,
( aScalar0(sdtasdt0(smndt0(xR),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xR,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_7281,c_1211]) ).
tcf(c_15089,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7281,c_4493]) ).
tcf(c_15090,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_7281,c_4492]) ).
tcf(c_15092,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xN))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_7281,c_4494]) ).
tcf(c_15120,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5345,c_8078]) ).
tcf(c_15122,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(xS,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_8078,c_1211]) ).
tcf(c_15123,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8078,c_5510]) ).
tcf(c_15125,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8078,c_5512]) ).
tcf(c_15126,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_15052,c_129,c_125,c_2465,c_2872,c_3243,c_4008,c_15052]) ).
tcf(c_15131,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2580]) ).
tcf(c_15132,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2520]) ).
tcf(c_15133,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2519]) ).
tcf(c_15134,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2518]) ).
tcf(c_15135,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2473]) ).
tcf(c_15136,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2472]) ).
tcf(c_15137,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2471]) ).
tcf(c_15138,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2452]) ).
tcf(c_15139,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2451]) ).
tcf(c_15140,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2450]) ).
tcf(c_15141,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2425]) ).
tcf(c_15142,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2424]) ).
tcf(c_15143,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2423]) ).
tcf(c_15144,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_15126,c_2380]) ).
tcf(c_15145,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_15126,c_2372]) ).
tcf(c_15146,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1197]) ).
tcf(c_15147,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1199]) ).
tcf(c_15148,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1198]) ).
tcf(c_15149,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1203]) ).
tcf(c_15150,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1201]) ).
tcf(c_15151,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2367]) ).
tcf(c_15152,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1196]) ).
tcf(c_15153,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1195]) ).
tcf(c_15154,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15126,c_1194]) ).
tcf(c_15155,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_15126,c_1206]) ).
tcf(c_15156,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_15126,c_1205]) ).
tcf(c_15157,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_15126,c_1204]) ).
tcf(c_15231,plain,
aScalar0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_15088,c_129,c_125,c_2383,c_2465,c_2872,c_3040,c_4107,c_15088]) ).
tcf(c_15234,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2580]) ).
tcf(c_15235,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2520]) ).
tcf(c_15236,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2519]) ).
tcf(c_15237,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2518]) ).
tcf(c_15238,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2473]) ).
tcf(c_15239,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2472]) ).
tcf(c_15240,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2471]) ).
tcf(c_15241,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2452]) ).
tcf(c_15242,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2451]) ).
tcf(c_15243,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2450]) ).
tcf(c_15244,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2425]) ).
tcf(c_15245,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2424]) ).
tcf(c_15246,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2423]) ).
tcf(c_15247,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_15231,c_2380]) ).
tcf(c_15248,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_15231,c_2372]) ).
tcf(c_15249,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1197]) ).
tcf(c_15250,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1199]) ).
tcf(c_15251,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1198]) ).
tcf(c_15252,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1203]) ).
tcf(c_15253,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1201]) ).
tcf(c_15254,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2367]) ).
tcf(c_15255,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1196]) ).
tcf(c_15256,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1195]) ).
tcf(c_15257,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xR),smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15231,c_1194]) ).
tcf(c_15258,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_15231,c_1206]) ).
tcf(c_15259,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),sdtasdt0(smndt0(xR),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_15231,c_1205]) ).
tcf(c_15260,plain,
smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xR),smndt0(xN)),
inference(superposition,[status(thm)],[c_15231,c_1204]) ).
tcf(c_15405,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_15122,c_129,c_56,c_2465,c_3098,c_5342,c_15122]) ).
tcf(c_15409,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2580]) ).
tcf(c_15410,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2520]) ).
tcf(c_15411,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2519]) ).
tcf(c_15412,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2518]) ).
tcf(c_15413,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2473]) ).
tcf(c_15414,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2472]) ).
tcf(c_15415,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2471]) ).
tcf(c_15416,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2452]) ).
tcf(c_15417,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2451]) ).
tcf(c_15418,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2450]) ).
tcf(c_15419,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2425]) ).
tcf(c_15420,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2424]) ).
tcf(c_15421,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2423]) ).
tcf(c_15422,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_15405,c_2380]) ).
tcf(c_15423,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15405,c_2372]) ).
tcf(c_15424,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1197]) ).
tcf(c_15425,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1199]) ).
tcf(c_15426,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1198]) ).
tcf(c_15427,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1203]) ).
tcf(c_15428,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1201]) ).
tcf(c_15429,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2367]) ).
tcf(c_15430,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1196]) ).
tcf(c_15431,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1195]) ).
tcf(c_15432,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15405,c_1194]) ).
tcf(c_15433,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_15405,c_1206]) ).
tcf(c_15434,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_15405,c_1205]) ).
tcf(c_15435,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_15405,c_1204]) ).
tcf(c_15635,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_8078,c_5511]) ).
tcf(c_15659,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_5402,c_8082]) ).
tcf(c_15660,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xR)))
| ~ aScalar0(sdtasdt0(xS,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_8082,c_1211]) ).
tcf(c_15661,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_8082,c_10939]) ).
tcf(c_15663,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_8082,c_5606]) ).
tcf(c_15711,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xS)))
| ~ aScalar0(sdtasdt0(xS,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_8083,c_1211]) ).
tcf(c_15712,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xS))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_8083,c_5685]) ).
tcf(c_15714,plain,
( aScalar0(sdtasdt0(smndt0(xS),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xS,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_8084,c_1211]) ).
tcf(c_15716,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xN))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8084,c_5781]) ).
tcf(c_15733,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_10919,c_8394]) ).
tcf(c_15767,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_15660,c_129,c_125,c_2465,c_2872,c_3181,c_5401,c_15660]) ).
tcf(c_15772,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2580]) ).
tcf(c_15773,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2520]) ).
tcf(c_15774,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2519]) ).
tcf(c_15775,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2518]) ).
tcf(c_15776,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2473]) ).
tcf(c_15777,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2472]) ).
tcf(c_15778,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2471]) ).
tcf(c_15779,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2452]) ).
tcf(c_15780,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2451]) ).
tcf(c_15781,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2450]) ).
tcf(c_15782,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2425]) ).
tcf(c_15783,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2424]) ).
tcf(c_15784,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2423]) ).
tcf(c_15785,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_15767,c_2380]) ).
tcf(c_15786,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_15767,c_2372]) ).
tcf(c_15787,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1197]) ).
tcf(c_15788,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1199]) ).
tcf(c_15789,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1198]) ).
tcf(c_15790,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1203]) ).
tcf(c_15791,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1201]) ).
tcf(c_15792,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2367]) ).
tcf(c_15793,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1196]) ).
tcf(c_15794,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1195]) ).
tcf(c_15795,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_15767,c_1194]) ).
tcf(c_15796,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_15767,c_1206]) ).
tcf(c_15797,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_15767,c_1205]) ).
tcf(c_15798,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_15767,c_1204]) ).
tcf(c_16094,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_15711,c_129,c_2465,c_10574]) ).
tcf(c_16096,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_1135,c_16094]) ).
tcf(c_16097,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2580]) ).
tcf(c_16098,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2520]) ).
tcf(c_16099,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2519]) ).
tcf(c_16100,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2518]) ).
tcf(c_16101,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2473]) ).
tcf(c_16102,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2472]) ).
tcf(c_16103,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2471]) ).
tcf(c_16104,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2452]) ).
tcf(c_16105,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2451]) ).
tcf(c_16106,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2450]) ).
tcf(c_16107,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2425]) ).
tcf(c_16108,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2424]) ).
tcf(c_16109,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2423]) ).
tcf(c_16110,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_16094,c_2380]) ).
tcf(c_16111,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16094,c_2372]) ).
tcf(c_16112,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1197]) ).
tcf(c_16113,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1199]) ).
tcf(c_16114,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1198]) ).
tcf(c_16115,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1203]) ).
tcf(c_16116,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1201]) ).
tcf(c_16117,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2367]) ).
tcf(c_16118,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1196]) ).
tcf(c_16119,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1195]) ).
tcf(c_16120,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16094,c_1194]) ).
tcf(c_16121,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16094,c_1206]) ).
tcf(c_16122,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),sdtasdt0(smndt0(xS),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16094,c_1205]) ).
tcf(c_16123,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(superposition,[status(thm)],[c_16094,c_1204]) ).
tcf(c_16250,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = smndt0(smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2580]) ).
tcf(c_16251,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(sz0z00,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2520]) ).
tcf(c_16252,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2519]) ).
tcf(c_16253,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2518]) ).
tcf(c_16254,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2473]) ).
tcf(c_16255,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2472]) ).
tcf(c_16256,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2471]) ).
tcf(c_16257,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2452]) ).
tcf(c_16258,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2451]) ).
tcf(c_16259,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2450]) ).
tcf(c_16260,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xN,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2425]) ).
tcf(c_16261,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2424]) ).
tcf(c_16262,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xR,sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2423]) ).
tcf(c_16263,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16096,c_2380]) ).
tcf(c_16264,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(sdtasdt0(xS,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16096,c_2372]) ).
tcf(c_16265,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1197]) ).
tcf(c_16266,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1199]) ).
tcf(c_16267,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1198]) ).
tcf(c_16268,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1203]) ).
tcf(c_16269,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1201]) ).
tcf(c_16270,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2367]) ).
tcf(c_16271,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1196]) ).
tcf(c_16272,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1195]) ).
tcf(c_16273,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16096,c_1194]) ).
tcf(c_16274,plain,
sdtpldt0(sdtasdt0(xS,xS),smndt0(sdtasdt0(xS,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16096,c_1206]) ).
tcf(c_16275,plain,
sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(xS,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_16096,c_1205]) ).
tcf(c_16276,plain,
smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_16096,c_1204]) ).
tcf(c_16347,plain,
smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_9616,c_16276]) ).
tcf(c_16348,plain,
smndt0(sdtasdt0(smndt0(xS),xS)) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_8076,c_16276]) ).
tcf(c_16373,plain,
sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9616,c_16274]) ).
tcf(c_16374,plain,
sdtpldt0(sdtasdt0(xS,xS),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8076,c_16274]) ).
tcf(c_16376,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(xS,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_9616,c_16275]) ).
tcf(c_16377,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(xS,xS)) = sz0z00,
inference(superposition,[status(thm)],[c_8076,c_16275]) ).
tcf(c_16388,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6404,c_9097]) ).
tcf(c_16390,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(xN,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_9097,c_1211]) ).
tcf(c_16392,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9097,c_6602]) ).
tcf(c_16398,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(xR)))
| ~ aScalar0(sdtasdt0(xN,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_9101,c_1211]) ).
tcf(c_16400,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xR))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_9101,c_6707]) ).
tcf(c_16401,plain,
aScalar0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_15714,c_129,c_125,c_2383,c_2465,c_3040,c_5421,c_15714]) ).
tcf(c_16404,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2580]) ).
tcf(c_16405,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2520]) ).
tcf(c_16406,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2519]) ).
tcf(c_16407,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2518]) ).
tcf(c_16408,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2473]) ).
tcf(c_16409,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2472]) ).
tcf(c_16410,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2471]) ).
tcf(c_16411,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2452]) ).
tcf(c_16412,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2451]) ).
tcf(c_16413,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2450]) ).
tcf(c_16414,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2425]) ).
tcf(c_16415,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2424]) ).
tcf(c_16416,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2423]) ).
tcf(c_16417,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_16401,c_2380]) ).
tcf(c_16418,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_16401,c_2372]) ).
tcf(c_16419,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1197]) ).
tcf(c_16420,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1199]) ).
tcf(c_16421,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1198]) ).
tcf(c_16422,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1203]) ).
tcf(c_16423,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1201]) ).
tcf(c_16424,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2367]) ).
tcf(c_16425,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1196]) ).
tcf(c_16426,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1195]) ).
tcf(c_16427,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xS),smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16401,c_1194]) ).
tcf(c_16428,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_16401,c_1206]) ).
tcf(c_16429,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),sdtasdt0(smndt0(xS),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_16401,c_1205]) ).
tcf(c_16430,plain,
smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xS),smndt0(xN)),
inference(superposition,[status(thm)],[c_16401,c_1204]) ).
tcf(c_16515,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_16390,c_129,c_125,c_56,c_2383,c_2465,c_3098,c_6401,c_16390]) ).
tcf(c_16520,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2580]) ).
tcf(c_16521,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2520]) ).
tcf(c_16522,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2519]) ).
tcf(c_16523,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2518]) ).
tcf(c_16524,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2473]) ).
tcf(c_16525,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2472]) ).
tcf(c_16526,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2471]) ).
tcf(c_16527,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2452]) ).
tcf(c_16528,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2451]) ).
tcf(c_16529,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2450]) ).
tcf(c_16530,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2425]) ).
tcf(c_16531,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2424]) ).
tcf(c_16532,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2423]) ).
tcf(c_16533,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_16515,c_2380]) ).
tcf(c_16534,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_16515,c_2372]) ).
tcf(c_16535,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1197]) ).
tcf(c_16536,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1199]) ).
tcf(c_16537,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1198]) ).
tcf(c_16538,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1203]) ).
tcf(c_16539,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1201]) ).
tcf(c_16540,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2367]) ).
tcf(c_16541,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1196]) ).
tcf(c_16542,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1195]) ).
tcf(c_16543,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16515,c_1194]) ).
tcf(c_16544,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_16515,c_1206]) ).
tcf(c_16545,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_16515,c_1205]) ).
tcf(c_16546,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_16515,c_1204]) ).
tcf(c_16615,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_16398,c_129,c_125,c_2383,c_2465,c_2872,c_3181,c_6407,c_16398]) ).
tcf(c_16618,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2580]) ).
tcf(c_16619,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2520]) ).
tcf(c_16620,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2519]) ).
tcf(c_16621,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2518]) ).
tcf(c_16622,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2473]) ).
tcf(c_16623,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2472]) ).
tcf(c_16624,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2471]) ).
tcf(c_16625,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2452]) ).
tcf(c_16626,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2451]) ).
tcf(c_16627,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2450]) ).
tcf(c_16628,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2425]) ).
tcf(c_16629,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2424]) ).
tcf(c_16630,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2423]) ).
tcf(c_16631,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_16615,c_2380]) ).
tcf(c_16632,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_16615,c_2372]) ).
tcf(c_16633,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1197]) ).
tcf(c_16634,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1199]) ).
tcf(c_16635,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1198]) ).
tcf(c_16636,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1203]) ).
tcf(c_16637,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1201]) ).
tcf(c_16638,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2367]) ).
tcf(c_16639,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1196]) ).
tcf(c_16640,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1195]) ).
tcf(c_16641,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16615,c_1194]) ).
tcf(c_16642,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_16615,c_1206]) ).
tcf(c_16643,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),sdtasdt0(smndt0(xN),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_16615,c_1205]) ).
tcf(c_16644,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_16615,c_1204]) ).
tcf(c_16762,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8082,c_5604]) ).
tcf(c_16768,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(xS)))
| ~ aScalar0(sdtasdt0(xN,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_9102,c_1211]) ).
tcf(c_16770,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xS))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_9102,c_6887]) ).
tcf(c_16772,plain,
( aScalar0(sdtasdt0(smndt0(xN),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xN,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_9103,c_1211]) ).
tcf(c_16774,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xN))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_9103,c_6921]) ).
tcf(c_16802,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3983,c_9435]) ).
tcf(c_16804,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(xR,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_9435,c_1211]) ).
tcf(c_16805,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(xR,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_9435,c_7275]) ).
tcf(c_16806,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9435,c_4222]) ).
tcf(c_16807,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_9435,c_4221]) ).
tcf(c_16808,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_9435,c_8764]) ).
tcf(c_16809,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9435,c_4223]) ).
tcf(c_16841,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(xR,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_9439,c_1211]) ).
tcf(c_16842,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_9439,c_7279]) ).
tcf(c_16843,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9439,c_4295]) ).
tcf(c_16844,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9439,c_4294]) ).
tcf(c_16845,plain,
sdtasdt0(xR,smndt0(smndt0(xR))) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_9439,c_8024]) ).
tcf(c_16846,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_9439,c_4296]) ).
tcf(c_16859,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_10839,c_9440]) ).
tcf(c_16860,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1137,c_9440]) ).
tcf(c_16861,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(xR,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_9440,c_1211]) ).
tcf(c_16862,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_9440,c_7280]) ).
tcf(c_16863,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9440,c_4397]) ).
tcf(c_16864,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9440,c_4396]) ).
tcf(c_16865,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9440,c_10848]) ).
tcf(c_16866,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_9440,c_8027]) ).
tcf(c_16867,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_9440,c_4398]) ).
tcf(c_16940,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_16768,c_129,c_125,c_2383,c_2465,c_3243,c_6495,c_16768]) ).
tcf(c_16943,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2580]) ).
tcf(c_16944,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2520]) ).
tcf(c_16945,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2519]) ).
tcf(c_16946,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2518]) ).
tcf(c_16947,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2473]) ).
tcf(c_16948,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2472]) ).
tcf(c_16949,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2471]) ).
tcf(c_16950,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2452]) ).
tcf(c_16951,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2451]) ).
tcf(c_16952,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2450]) ).
tcf(c_16953,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2425]) ).
tcf(c_16954,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2424]) ).
tcf(c_16955,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2423]) ).
tcf(c_16956,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_16940,c_2380]) ).
tcf(c_16957,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16940,c_2372]) ).
tcf(c_16958,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1197]) ).
tcf(c_16959,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1199]) ).
tcf(c_16960,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1198]) ).
tcf(c_16961,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1203]) ).
tcf(c_16962,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1201]) ).
tcf(c_16963,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2367]) ).
tcf(c_16964,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1196]) ).
tcf(c_16965,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1195]) ).
tcf(c_16966,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_16940,c_1194]) ).
tcf(c_16967,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16940,c_1206]) ).
tcf(c_16968,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),sdtasdt0(smndt0(xN),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_16940,c_1205]) ).
tcf(c_16969,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_16940,c_1204]) ).
tcf(c_17203,plain,
aScalar0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_16772,c_129,c_125,c_2383,c_2465,c_3040,c_6498,c_16772]) ).
tcf(c_17206,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2580]) ).
tcf(c_17207,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2520]) ).
tcf(c_17208,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2519]) ).
tcf(c_17209,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2518]) ).
tcf(c_17210,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2473]) ).
tcf(c_17211,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2472]) ).
tcf(c_17212,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2471]) ).
tcf(c_17213,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2452]) ).
tcf(c_17214,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2451]) ).
tcf(c_17215,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2450]) ).
tcf(c_17216,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2425]) ).
tcf(c_17217,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2424]) ).
tcf(c_17218,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2423]) ).
tcf(c_17219,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17203,c_2380]) ).
tcf(c_17220,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_17203,c_2372]) ).
tcf(c_17221,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1197]) ).
tcf(c_17222,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1199]) ).
tcf(c_17223,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1198]) ).
tcf(c_17224,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1203]) ).
tcf(c_17225,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1201]) ).
tcf(c_17226,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2367]) ).
tcf(c_17227,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1196]) ).
tcf(c_17228,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1195]) ).
tcf(c_17229,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(xN),smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17203,c_1194]) ).
tcf(c_17230,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_17203,c_1206]) ).
tcf(c_17231,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),sdtasdt0(smndt0(xN),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_17203,c_1205]) ).
tcf(c_17232,plain,
smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_17203,c_1204]) ).
tcf(c_17317,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_16804,c_125,c_56,c_2872,c_3098,c_3980,c_16804]) ).
tcf(c_17323,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2580]) ).
tcf(c_17324,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2520]) ).
tcf(c_17325,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2519]) ).
tcf(c_17326,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2518]) ).
tcf(c_17327,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2473]) ).
tcf(c_17328,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2472]) ).
tcf(c_17329,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2471]) ).
tcf(c_17330,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2452]) ).
tcf(c_17331,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2451]) ).
tcf(c_17332,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2450]) ).
tcf(c_17333,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2425]) ).
tcf(c_17334,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2424]) ).
tcf(c_17335,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2423]) ).
tcf(c_17336,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17317,c_2380]) ).
tcf(c_17337,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17317,c_2372]) ).
tcf(c_17338,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1197]) ).
tcf(c_17339,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1199]) ).
tcf(c_17340,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1198]) ).
tcf(c_17341,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1203]) ).
tcf(c_17342,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1201]) ).
tcf(c_17343,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2367]) ).
tcf(c_17344,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1196]) ).
tcf(c_17345,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1195]) ).
tcf(c_17346,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17317,c_1194]) ).
tcf(c_17347,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17317,c_1206]) ).
tcf(c_17348,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17317,c_1205]) ).
tcf(c_17349,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_17317,c_1204]) ).
tcf(c_17414,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_16841,c_125,c_2872,c_3181,c_4005,c_16841]) ).
tcf(c_17418,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2580]) ).
tcf(c_17419,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2520]) ).
tcf(c_17420,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2519]) ).
tcf(c_17421,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2518]) ).
tcf(c_17422,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2473]) ).
tcf(c_17423,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2472]) ).
tcf(c_17424,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2471]) ).
tcf(c_17425,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2452]) ).
tcf(c_17426,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2451]) ).
tcf(c_17427,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2450]) ).
tcf(c_17428,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2425]) ).
tcf(c_17429,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2424]) ).
tcf(c_17430,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2423]) ).
tcf(c_17431,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17414,c_2380]) ).
tcf(c_17432,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17414,c_2372]) ).
tcf(c_17433,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1197]) ).
tcf(c_17434,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1199]) ).
tcf(c_17435,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1198]) ).
tcf(c_17436,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1203]) ).
tcf(c_17437,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1201]) ).
tcf(c_17438,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2367]) ).
tcf(c_17439,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1196]) ).
tcf(c_17440,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1195]) ).
tcf(c_17441,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xR))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17414,c_1194]) ).
tcf(c_17442,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xR))),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17414,c_1206]) ).
tcf(c_17443,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))),sdtasdt0(xR,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_17414,c_1205]) ).
tcf(c_17444,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_17414,c_1204]) ).
tcf(c_17543,plain,
( aScalar0(sdtasdt0(xR,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(xR,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_9441,c_1211]) ).
tcf(c_17544,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_9441,c_7281]) ).
tcf(c_17545,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9441,c_4493]) ).
tcf(c_17546,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9441,c_4492]) ).
tcf(c_17547,plain,
sdtasdt0(xR,smndt0(smndt0(xN))) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_9441,c_8774]) ).
tcf(c_17548,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_9441,c_4494]) ).
tcf(c_17580,plain,
sdtasdt0(xR,sdtasdt0(xS,xR)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_8901,c_17547]) ).
tcf(c_17581,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_8026,c_17547]) ).
tcf(c_17638,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5345,c_9618]) ).
tcf(c_17640,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(xS,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_9618,c_1211]) ).
tcf(c_17641,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9618,c_5511]) ).
tcf(c_17642,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_9618,c_8078]) ).
tcf(c_17643,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_9618,c_5510]) ).
tcf(c_17644,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = sdtasdt0(xS,sz0z00),
inference(superposition,[status(thm)],[c_9618,c_10134]) ).
tcf(c_17645,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9618,c_5512]) ).
tcf(c_17674,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_5402,c_9622]) ).
tcf(c_17675,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(xS,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_9622,c_1211]) ).
tcf(c_17676,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9622,c_5604]) ).
tcf(c_17677,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_9622,c_8082]) ).
tcf(c_17678,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_9622,c_10939]) ).
tcf(c_17679,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_9622,c_8900]) ).
tcf(c_17680,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_9622,c_5606]) ).
tcf(c_17724,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_16861,c_129,c_125,c_2465,c_2872,c_3243,c_4008,c_16861]) ).
tcf(c_17730,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2580]) ).
tcf(c_17731,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2520]) ).
tcf(c_17732,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2519]) ).
tcf(c_17733,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2518]) ).
tcf(c_17734,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2473]) ).
tcf(c_17735,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2472]) ).
tcf(c_17736,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2471]) ).
tcf(c_17737,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2452]) ).
tcf(c_17738,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2451]) ).
tcf(c_17739,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2450]) ).
tcf(c_17740,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2425]) ).
tcf(c_17741,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2424]) ).
tcf(c_17742,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2423]) ).
tcf(c_17743,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17724,c_2380]) ).
tcf(c_17744,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17724,c_2372]) ).
tcf(c_17745,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1197]) ).
tcf(c_17746,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1199]) ).
tcf(c_17747,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1198]) ).
tcf(c_17748,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1203]) ).
tcf(c_17749,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1201]) ).
tcf(c_17750,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2367]) ).
tcf(c_17751,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1196]) ).
tcf(c_17752,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1195]) ).
tcf(c_17753,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xS))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17724,c_1194]) ).
tcf(c_17754,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17724,c_1206]) ).
tcf(c_17755,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17724,c_1205]) ).
tcf(c_17756,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_17724,c_1204]) ).
tcf(c_17826,plain,
aScalar0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_17543,c_129,c_125,c_2383,c_2465,c_2872,c_3040,c_4107,c_17543]) ).
tcf(c_17829,plain,
aScalar0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8901,c_17826]) ).
tcf(c_17830,plain,
aScalar0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8026,c_17826]) ).
tcf(c_17832,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2580]) ).
tcf(c_17833,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2520]) ).
tcf(c_17834,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2519]) ).
tcf(c_17835,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2518]) ).
tcf(c_17836,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2473]) ).
tcf(c_17837,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2472]) ).
tcf(c_17838,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2471]) ).
tcf(c_17839,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2452]) ).
tcf(c_17840,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2451]) ).
tcf(c_17841,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2450]) ).
tcf(c_17842,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2425]) ).
tcf(c_17843,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2424]) ).
tcf(c_17844,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2423]) ).
tcf(c_17845,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17826,c_2380]) ).
tcf(c_17846,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17826,c_2372]) ).
tcf(c_17847,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1197]) ).
tcf(c_17848,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1199]) ).
tcf(c_17849,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1198]) ).
tcf(c_17850,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1203]) ).
tcf(c_17851,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1201]) ).
tcf(c_17852,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2367]) ).
tcf(c_17853,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1196]) ).
tcf(c_17854,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1195]) ).
tcf(c_17855,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,smndt0(smndt0(xN))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17826,c_1194]) ).
tcf(c_17856,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xN))),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17826,c_1206]) ).
tcf(c_17857,plain,
sdtpldt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))),sdtasdt0(xR,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_17826,c_1205]) ).
tcf(c_17858,plain,
smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_17826,c_1204]) ).
tcf(c_17923,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_17640,c_129,c_56,c_2465,c_3098,c_5342,c_17640]) ).
tcf(c_17929,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2580]) ).
tcf(c_17930,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2520]) ).
tcf(c_17931,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2519]) ).
tcf(c_17932,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2518]) ).
tcf(c_17933,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2473]) ).
tcf(c_17934,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2472]) ).
tcf(c_17935,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2471]) ).
tcf(c_17936,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2452]) ).
tcf(c_17937,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2451]) ).
tcf(c_17938,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2450]) ).
tcf(c_17939,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2425]) ).
tcf(c_17940,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2424]) ).
tcf(c_17941,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2423]) ).
tcf(c_17942,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17923,c_2380]) ).
tcf(c_17943,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17923,c_2372]) ).
tcf(c_17944,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1197]) ).
tcf(c_17945,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1199]) ).
tcf(c_17946,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1198]) ).
tcf(c_17947,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1203]) ).
tcf(c_17948,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1201]) ).
tcf(c_17949,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2367]) ).
tcf(c_17950,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1196]) ).
tcf(c_17951,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1195]) ).
tcf(c_17952,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17923,c_1194]) ).
tcf(c_17953,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_17923,c_1206]) ).
tcf(c_17954,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17923,c_1205]) ).
tcf(c_17955,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_17923,c_1204]) ).
tcf(c_18096,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_17675,c_129,c_125,c_2465,c_2872,c_3181,c_5401,c_17675]) ).
tcf(c_18101,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2580]) ).
tcf(c_18102,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2520]) ).
tcf(c_18103,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2519]) ).
tcf(c_18104,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2518]) ).
tcf(c_18105,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2473]) ).
tcf(c_18106,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2472]) ).
tcf(c_18107,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2471]) ).
tcf(c_18108,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2452]) ).
tcf(c_18109,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2451]) ).
tcf(c_18110,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2450]) ).
tcf(c_18111,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2425]) ).
tcf(c_18112,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2424]) ).
tcf(c_18113,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2423]) ).
tcf(c_18114,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18096,c_2380]) ).
tcf(c_18115,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18096,c_2372]) ).
tcf(c_18116,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1197]) ).
tcf(c_18117,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1199]) ).
tcf(c_18118,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1198]) ).
tcf(c_18119,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1203]) ).
tcf(c_18120,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1201]) ).
tcf(c_18121,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2367]) ).
tcf(c_18122,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1196]) ).
tcf(c_18123,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1195]) ).
tcf(c_18124,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xR))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18096,c_1194]) ).
tcf(c_18125,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18096,c_1206]) ).
tcf(c_18126,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_18096,c_1205]) ).
tcf(c_18127,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_18096,c_1204]) ).
tcf(c_18208,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2580]) ).
tcf(c_18209,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2520]) ).
tcf(c_18210,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2519]) ).
tcf(c_18211,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2518]) ).
tcf(c_18212,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2473]) ).
tcf(c_18213,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2472]) ).
tcf(c_18214,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2471]) ).
tcf(c_18215,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2452]) ).
tcf(c_18216,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2451]) ).
tcf(c_18217,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2450]) ).
tcf(c_18218,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2425]) ).
tcf(c_18219,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2424]) ).
tcf(c_18220,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2423]) ).
tcf(c_18221,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17829,c_2380]) ).
tcf(c_18222,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_17829,c_2372]) ).
tcf(c_18223,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1197]) ).
tcf(c_18224,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1199]) ).
tcf(c_18225,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1198]) ).
tcf(c_18226,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1203]) ).
tcf(c_18227,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1201]) ).
tcf(c_18228,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2367]) ).
tcf(c_18229,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1196]) ).
tcf(c_18230,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1195]) ).
tcf(c_18231,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xS,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17829,c_1194]) ).
tcf(c_18232,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_17829,c_1206]) ).
tcf(c_18233,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))),sdtasdt0(xR,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_17829,c_1205]) ).
tcf(c_18234,plain,
smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_17829,c_1204]) ).
tcf(c_18286,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2580]) ).
tcf(c_18287,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2520]) ).
tcf(c_18288,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2519]) ).
tcf(c_18289,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2518]) ).
tcf(c_18290,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2473]) ).
tcf(c_18291,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2472]) ).
tcf(c_18292,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2471]) ).
tcf(c_18293,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2452]) ).
tcf(c_18294,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2451]) ).
tcf(c_18295,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2450]) ).
tcf(c_18296,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2425]) ).
tcf(c_18297,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2424]) ).
tcf(c_18298,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2423]) ).
tcf(c_18299,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17830,c_2380]) ).
tcf(c_18300,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17830,c_2372]) ).
tcf(c_18301,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1197]) ).
tcf(c_18302,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1199]) ).
tcf(c_18303,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1198]) ).
tcf(c_18304,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1203]) ).
tcf(c_18305,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1201]) ).
tcf(c_18306,plain,
smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2367]) ).
tcf(c_18307,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1196]) ).
tcf(c_18308,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1195]) ).
tcf(c_18309,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xR,sdtasdt0(xR,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_17830,c_1194]) ).
tcf(c_18310,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_17830,c_1206]) ).
tcf(c_18311,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))),sdtasdt0(xR,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_17830,c_1205]) ).
tcf(c_18312,plain,
smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_17830,c_1204]) ).
tcf(c_18382,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(xS,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_9623,c_1211]) ).
tcf(c_18383,plain,
sdtasdt0(xS,smndt0(smndt0(xS))) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_9623,c_16347]) ).
tcf(c_18384,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_9623,c_8083]) ).
tcf(c_18385,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))) = sdtasdt0(xS,smndt0(xS)),
inference(superposition,[status(thm)],[c_9623,c_5685]) ).
tcf(c_18402,plain,
( aScalar0(sdtasdt0(xS,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(xS,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_9624,c_1211]) ).
tcf(c_18403,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_9624,c_8084]) ).
tcf(c_18404,plain,
sdtasdt0(xS,smndt0(smndt0(xN))) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_9624,c_9370]) ).
tcf(c_18405,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_9624,c_5781]) ).
tcf(c_18480,plain,
sdtasdt0(xS,sdtasdt0(xS,xR)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_8901,c_18404]) ).
tcf(c_18481,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_8026,c_18404]) ).
tcf(c_18492,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6404,c_10484]) ).
tcf(c_18494,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(xN,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_10484,c_1211]) ).
tcf(c_18495,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_10484,c_9097]) ).
tcf(c_18496,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_10484,c_10896]) ).
tcf(c_18497,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_10484,c_6602]) ).
tcf(c_18524,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_18382,c_129,c_2465,c_3243,c_5418,c_18382]) ).
tcf(c_18528,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2580]) ).
tcf(c_18529,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2520]) ).
tcf(c_18530,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2519]) ).
tcf(c_18531,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2518]) ).
tcf(c_18532,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2473]) ).
tcf(c_18533,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2472]) ).
tcf(c_18534,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2471]) ).
tcf(c_18535,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2452]) ).
tcf(c_18536,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2451]) ).
tcf(c_18537,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2450]) ).
tcf(c_18538,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2425]) ).
tcf(c_18539,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2424]) ).
tcf(c_18540,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2423]) ).
tcf(c_18541,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18524,c_2380]) ).
tcf(c_18542,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18524,c_2372]) ).
tcf(c_18543,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1197]) ).
tcf(c_18544,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1199]) ).
tcf(c_18545,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1198]) ).
tcf(c_18546,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1203]) ).
tcf(c_18547,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1201]) ).
tcf(c_18548,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2367]) ).
tcf(c_18549,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1196]) ).
tcf(c_18550,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1195]) ).
tcf(c_18551,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xS))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18524,c_1194]) ).
tcf(c_18552,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18524,c_1206]) ).
tcf(c_18553,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))),sdtasdt0(xS,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_18524,c_1205]) ).
tcf(c_18554,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(xS,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_18524,c_1204]) ).
tcf(c_18621,plain,
aScalar0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_18402,c_129,c_125,c_2383,c_2465,c_3040,c_5421,c_18402]) ).
tcf(c_18624,plain,
aScalar0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8901,c_18621]) ).
tcf(c_18625,plain,
aScalar0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8026,c_18621]) ).
tcf(c_18627,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2580]) ).
tcf(c_18628,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2520]) ).
tcf(c_18629,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2519]) ).
tcf(c_18630,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2518]) ).
tcf(c_18631,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2473]) ).
tcf(c_18632,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2472]) ).
tcf(c_18633,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2471]) ).
tcf(c_18634,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2452]) ).
tcf(c_18635,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2451]) ).
tcf(c_18636,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2450]) ).
tcf(c_18637,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2425]) ).
tcf(c_18638,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2424]) ).
tcf(c_18639,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2423]) ).
tcf(c_18640,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18621,c_2380]) ).
tcf(c_18641,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_18621,c_2372]) ).
tcf(c_18642,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1197]) ).
tcf(c_18643,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1199]) ).
tcf(c_18644,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1198]) ).
tcf(c_18645,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1203]) ).
tcf(c_18646,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1201]) ).
tcf(c_18647,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2367]) ).
tcf(c_18648,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1196]) ).
tcf(c_18649,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1195]) ).
tcf(c_18650,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,smndt0(smndt0(xN))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18621,c_1194]) ).
tcf(c_18651,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_18621,c_1206]) ).
tcf(c_18652,plain,
sdtpldt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))),sdtasdt0(xS,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_18621,c_1205]) ).
tcf(c_18653,plain,
smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_18621,c_1204]) ).
tcf(c_18721,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_18494,c_129,c_125,c_56,c_2383,c_2465,c_3098,c_6401,c_18494]) ).
tcf(c_18726,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2580]) ).
tcf(c_18727,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2520]) ).
tcf(c_18728,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2519]) ).
tcf(c_18729,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2518]) ).
tcf(c_18730,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2473]) ).
tcf(c_18731,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2472]) ).
tcf(c_18732,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2471]) ).
tcf(c_18733,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2452]) ).
tcf(c_18734,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2451]) ).
tcf(c_18735,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2450]) ).
tcf(c_18736,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2425]) ).
tcf(c_18737,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2424]) ).
tcf(c_18738,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2423]) ).
tcf(c_18739,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18721,c_2380]) ).
tcf(c_18740,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_18721,c_2372]) ).
tcf(c_18741,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1197]) ).
tcf(c_18742,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1199]) ).
tcf(c_18743,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1198]) ).
tcf(c_18744,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1203]) ).
tcf(c_18745,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1201]) ).
tcf(c_18746,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2367]) ).
tcf(c_18747,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1196]) ).
tcf(c_18748,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1195]) ).
tcf(c_18749,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18721,c_1194]) ).
tcf(c_18750,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_18721,c_1206]) ).
tcf(c_18751,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_18721,c_1205]) ).
tcf(c_18752,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_18721,c_1204]) ).
tcf(c_18842,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9622,c_5605]) ).
tcf(c_18843,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8082,c_5605]) ).
tcf(c_18863,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2580]) ).
tcf(c_18864,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2520]) ).
tcf(c_18865,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2519]) ).
tcf(c_18866,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2518]) ).
tcf(c_18867,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2473]) ).
tcf(c_18868,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2472]) ).
tcf(c_18869,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2471]) ).
tcf(c_18870,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2452]) ).
tcf(c_18871,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2451]) ).
tcf(c_18872,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2450]) ).
tcf(c_18873,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2425]) ).
tcf(c_18874,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2424]) ).
tcf(c_18875,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2423]) ).
tcf(c_18876,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18624,c_2380]) ).
tcf(c_18877,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_18624,c_2372]) ).
tcf(c_18878,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1197]) ).
tcf(c_18879,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1199]) ).
tcf(c_18880,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1198]) ).
tcf(c_18881,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1203]) ).
tcf(c_18882,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1201]) ).
tcf(c_18883,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2367]) ).
tcf(c_18884,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1196]) ).
tcf(c_18885,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1195]) ).
tcf(c_18886,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xS,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18624,c_1194]) ).
tcf(c_18887,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_18624,c_1206]) ).
tcf(c_18888,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))),sdtasdt0(xS,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_18624,c_1205]) ).
tcf(c_18889,plain,
smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_18624,c_1204]) ).
tcf(c_18961,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2580]) ).
tcf(c_18962,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2520]) ).
tcf(c_18963,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2519]) ).
tcf(c_18964,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2518]) ).
tcf(c_18965,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2473]) ).
tcf(c_18966,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2472]) ).
tcf(c_18967,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2471]) ).
tcf(c_18968,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2452]) ).
tcf(c_18969,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2451]) ).
tcf(c_18970,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2450]) ).
tcf(c_18971,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2425]) ).
tcf(c_18972,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2424]) ).
tcf(c_18973,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2423]) ).
tcf(c_18974,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18625,c_2380]) ).
tcf(c_18975,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_18625,c_2372]) ).
tcf(c_18976,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1197]) ).
tcf(c_18977,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1199]) ).
tcf(c_18978,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1198]) ).
tcf(c_18979,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1203]) ).
tcf(c_18980,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1201]) ).
tcf(c_18981,plain,
smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2367]) ).
tcf(c_18982,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1196]) ).
tcf(c_18983,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1195]) ).
tcf(c_18984,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xS,sdtasdt0(xR,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_18625,c_1194]) ).
tcf(c_18985,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_18625,c_1206]) ).
tcf(c_18986,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))),sdtasdt0(xS,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_18625,c_1205]) ).
tcf(c_18987,plain,
smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_18625,c_1204]) ).
tcf(c_19048,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(xN,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_10488,c_1211]) ).
tcf(c_19049,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_10488,c_9101]) ).
tcf(c_19050,plain,
sdtasdt0(xN,smndt0(smndt0(xR))) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_10488,c_10371]) ).
tcf(c_19051,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_10488,c_6707]) ).
tcf(c_19055,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(xN,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_10489,c_1211]) ).
tcf(c_19056,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_10489,c_9102]) ).
tcf(c_19057,plain,
sdtasdt0(xN,smndt0(smndt0(xS))) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_10489,c_10868]) ).
tcf(c_19058,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_10489,c_6887]) ).
tcf(c_19072,plain,
( aScalar0(sdtasdt0(xN,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(xN,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_10490,c_1211]) ).
tcf(c_19073,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_10490,c_9103]) ).
tcf(c_19074,plain,
sdtasdt0(xN,smndt0(smndt0(xN))) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_10490,c_10870]) ).
tcf(c_19075,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_10490,c_6921]) ).
tcf(c_19076,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8901,c_19074]) ).
tcf(c_19077,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8026,c_19074]) ).
tcf(c_19094,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_12055,c_11016]) ).
tcf(c_19096,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_11016,c_1211]) ).
tcf(c_19097,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_11016,c_11455]) ).
tcf(c_19098,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_11016,c_11992]) ).
tcf(c_19099,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_19048,c_129,c_125,c_2383,c_2465,c_2872,c_3181,c_6407,c_19048]) ).
tcf(c_19103,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2580]) ).
tcf(c_19104,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2520]) ).
tcf(c_19105,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2519]) ).
tcf(c_19106,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2518]) ).
tcf(c_19107,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2473]) ).
tcf(c_19108,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2472]) ).
tcf(c_19109,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2471]) ).
tcf(c_19110,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2452]) ).
tcf(c_19111,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2451]) ).
tcf(c_19112,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2450]) ).
tcf(c_19113,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2425]) ).
tcf(c_19114,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2424]) ).
tcf(c_19115,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2423]) ).
tcf(c_19116,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19099,c_2380]) ).
tcf(c_19117,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19099,c_2372]) ).
tcf(c_19118,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1197]) ).
tcf(c_19119,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1199]) ).
tcf(c_19120,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1198]) ).
tcf(c_19121,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1203]) ).
tcf(c_19122,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1201]) ).
tcf(c_19123,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2367]) ).
tcf(c_19124,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1196]) ).
tcf(c_19125,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1195]) ).
tcf(c_19126,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xR))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19099,c_1194]) ).
tcf(c_19127,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19099,c_1206]) ).
tcf(c_19128,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))),sdtasdt0(xN,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19099,c_1205]) ).
tcf(c_19129,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_19099,c_1204]) ).
tcf(c_19214,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_19055,c_129,c_125,c_2383,c_2465,c_3243,c_6495,c_19055]) ).
tcf(c_19218,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2580]) ).
tcf(c_19219,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2520]) ).
tcf(c_19220,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2519]) ).
tcf(c_19221,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2518]) ).
tcf(c_19222,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2473]) ).
tcf(c_19223,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2472]) ).
tcf(c_19224,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2471]) ).
tcf(c_19225,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2452]) ).
tcf(c_19226,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2451]) ).
tcf(c_19227,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2450]) ).
tcf(c_19228,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2425]) ).
tcf(c_19229,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2424]) ).
tcf(c_19230,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2423]) ).
tcf(c_19231,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19214,c_2380]) ).
tcf(c_19232,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19214,c_2372]) ).
tcf(c_19233,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1197]) ).
tcf(c_19234,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1199]) ).
tcf(c_19235,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1198]) ).
tcf(c_19236,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1203]) ).
tcf(c_19237,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1201]) ).
tcf(c_19238,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2367]) ).
tcf(c_19239,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1196]) ).
tcf(c_19240,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1195]) ).
tcf(c_19241,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xS))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19214,c_1194]) ).
tcf(c_19242,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19214,c_1206]) ).
tcf(c_19243,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))),sdtasdt0(xN,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19214,c_1205]) ).
tcf(c_19244,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_19214,c_1204]) ).
tcf(c_19285,plain,
aScalar0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_19072,c_129,c_125,c_2383,c_2465,c_3040,c_6498,c_19072]) ).
tcf(c_19288,plain,
aScalar0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8901,c_19285]) ).
tcf(c_19289,plain,
aScalar0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8026,c_19285]) ).
tcf(c_19291,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2580]) ).
tcf(c_19292,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2520]) ).
tcf(c_19293,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2519]) ).
tcf(c_19294,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2518]) ).
tcf(c_19295,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2473]) ).
tcf(c_19296,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2472]) ).
tcf(c_19297,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2471]) ).
tcf(c_19298,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2452]) ).
tcf(c_19299,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2451]) ).
tcf(c_19300,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2450]) ).
tcf(c_19301,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2425]) ).
tcf(c_19302,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2424]) ).
tcf(c_19303,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2423]) ).
tcf(c_19304,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19285,c_2380]) ).
tcf(c_19305,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_19285,c_2372]) ).
tcf(c_19306,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1197]) ).
tcf(c_19307,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1199]) ).
tcf(c_19308,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1198]) ).
tcf(c_19309,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1203]) ).
tcf(c_19310,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1201]) ).
tcf(c_19311,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2367]) ).
tcf(c_19312,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1196]) ).
tcf(c_19313,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1195]) ).
tcf(c_19314,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,smndt0(smndt0(xN))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19285,c_1194]) ).
tcf(c_19315,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_19285,c_1206]) ).
tcf(c_19316,plain,
sdtpldt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))),sdtasdt0(xN,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_19285,c_1205]) ).
tcf(c_19317,plain,
smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_19285,c_1204]) ).
tcf(c_19404,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(global_subsumption_just,[status(thm)],[c_19096,c_56,c_156,c_11406,c_19096]) ).
tcf(c_19408,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2580]) ).
tcf(c_19409,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2520]) ).
tcf(c_19410,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2519]) ).
tcf(c_19411,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2518]) ).
tcf(c_19412,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2473]) ).
tcf(c_19413,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2472]) ).
tcf(c_19414,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2471]) ).
tcf(c_19415,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2452]) ).
tcf(c_19416,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2451]) ).
tcf(c_19417,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2450]) ).
tcf(c_19418,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2425]) ).
tcf(c_19419,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2424]) ).
tcf(c_19420,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2423]) ).
tcf(c_19421,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19404,c_2380]) ).
tcf(c_19422,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19404,c_2372]) ).
tcf(c_19423,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1197]) ).
tcf(c_19424,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1199]) ).
tcf(c_19425,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1198]) ).
tcf(c_19426,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1203]) ).
tcf(c_19427,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1201]) ).
tcf(c_19428,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2367]) ).
tcf(c_19429,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1196]) ).
tcf(c_19430,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1195]) ).
tcf(c_19431,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19404,c_1194]) ).
tcf(c_19432,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19404,c_1206]) ).
tcf(c_19433,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_19404,c_1205]) ).
tcf(c_19434,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_19404,c_1204]) ).
tcf(c_19524,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2580]) ).
tcf(c_19525,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2520]) ).
tcf(c_19526,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2519]) ).
tcf(c_19527,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2518]) ).
tcf(c_19528,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2473]) ).
tcf(c_19529,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2472]) ).
tcf(c_19530,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2471]) ).
tcf(c_19531,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2452]) ).
tcf(c_19532,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2451]) ).
tcf(c_19533,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2450]) ).
tcf(c_19534,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2425]) ).
tcf(c_19535,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2424]) ).
tcf(c_19536,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2423]) ).
tcf(c_19537,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19288,c_2380]) ).
tcf(c_19538,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19288,c_2372]) ).
tcf(c_19539,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1197]) ).
tcf(c_19540,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1199]) ).
tcf(c_19541,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1198]) ).
tcf(c_19542,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1203]) ).
tcf(c_19543,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1201]) ).
tcf(c_19544,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2367]) ).
tcf(c_19545,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1196]) ).
tcf(c_19546,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1195]) ).
tcf(c_19547,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xS,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19288,c_1194]) ).
tcf(c_19548,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19288,c_1206]) ).
tcf(c_19549,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))),sdtasdt0(xN,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_19288,c_1205]) ).
tcf(c_19550,plain,
smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_19288,c_1204]) ).
tcf(c_19643,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2580]) ).
tcf(c_19644,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2520]) ).
tcf(c_19645,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2519]) ).
tcf(c_19646,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2518]) ).
tcf(c_19647,plain,
sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2473]) ).
tcf(c_19648,plain,
sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2472]) ).
tcf(c_19649,plain,
sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2471]) ).
tcf(c_19650,plain,
sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2452]) ).
tcf(c_19651,plain,
sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2451]) ).
tcf(c_19652,plain,
sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2450]) ).
tcf(c_19653,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2425]) ).
tcf(c_19654,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2424]) ).
tcf(c_19655,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2423]) ).
tcf(c_19656,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19289,c_2380]) ).
tcf(c_19657,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19289,c_2372]) ).
tcf(c_19658,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1197]) ).
tcf(c_19659,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1199]) ).
tcf(c_19660,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1198]) ).
tcf(c_19661,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1203]) ).
tcf(c_19662,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1201]) ).
tcf(c_19663,plain,
smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2367]) ).
tcf(c_19664,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1196]) ).
tcf(c_19665,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1195]) ).
tcf(c_19666,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(xN,sdtasdt0(xR,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19289,c_1194]) ).
tcf(c_19667,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19289,c_1206]) ).
tcf(c_19668,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))),sdtasdt0(xN,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_19289,c_1205]) ).
tcf(c_19669,plain,
smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_19289,c_1204]) ).
tcf(c_19762,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19094,c_19404]) ).
tcf(c_19766,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2580]) ).
tcf(c_19767,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2520]) ).
tcf(c_19768,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2519]) ).
tcf(c_19769,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2518]) ).
tcf(c_19770,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2473]) ).
tcf(c_19771,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2472]) ).
tcf(c_19772,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2471]) ).
tcf(c_19773,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2452]) ).
tcf(c_19774,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2451]) ).
tcf(c_19775,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2450]) ).
tcf(c_19776,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2425]) ).
tcf(c_19777,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2424]) ).
tcf(c_19778,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2423]) ).
tcf(c_19779,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19762,c_2380]) ).
tcf(c_19780,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_19762,c_2372]) ).
tcf(c_19781,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1197]) ).
tcf(c_19782,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1199]) ).
tcf(c_19783,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1198]) ).
tcf(c_19784,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1203]) ).
tcf(c_19785,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1201]) ).
tcf(c_19787,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1196]) ).
tcf(c_19788,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1195]) ).
tcf(c_19789,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19762,c_1194]) ).
tcf(c_19843,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12869,c_11020]) ).
tcf(c_19844,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_11020,c_1211]) ).
tcf(c_19845,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_11020,c_13676]) ).
tcf(c_19846,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_11020,c_13183]) ).
tcf(c_19865,plain,
( aScalar0(smndt0(sdtasdt0(sz0z00,xR)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(smndt0(xR))) ),
inference(superposition,[status(thm)],[c_19843,c_1212]) ).
tcf(c_19868,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_12874,c_11021]) ).
tcf(c_19869,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_11021,c_1211]) ).
tcf(c_19870,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_11021,c_13777]) ).
tcf(c_19871,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_11021,c_13332]) ).
tcf(c_19875,plain,
( aScalar0(smndt0(sdtasdt0(sz0z00,xS)))
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(smndt0(xS))) ),
inference(superposition,[status(thm)],[c_19868,c_1212]) ).
tcf(c_19878,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_12879,c_11022]) ).
tcf(c_19879,plain,
( aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_11022,c_1211]) ).
tcf(c_19880,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_11022,c_13859]) ).
tcf(c_19881,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_11022,c_13560]) ).
tcf(c_19882,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(global_subsumption_just,[status(thm)],[c_19844,c_125,c_56,c_143,c_12870,c_19844]) ).
tcf(c_19884,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19843,c_19882]) ).
tcf(c_19887,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2580]) ).
tcf(c_19888,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2520]) ).
tcf(c_19889,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2519]) ).
tcf(c_19890,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2518]) ).
tcf(c_19891,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2473]) ).
tcf(c_19892,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2472]) ).
tcf(c_19893,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2471]) ).
tcf(c_19894,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2452]) ).
tcf(c_19895,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2451]) ).
tcf(c_19896,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2450]) ).
tcf(c_19897,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2425]) ).
tcf(c_19898,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2424]) ).
tcf(c_19899,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2423]) ).
tcf(c_19900,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19882,c_2380]) ).
tcf(c_19901,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19882,c_2372]) ).
tcf(c_19902,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1197]) ).
tcf(c_19903,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1199]) ).
tcf(c_19904,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1198]) ).
tcf(c_19905,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1203]) ).
tcf(c_19906,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1201]) ).
tcf(c_19907,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2367]) ).
tcf(c_19908,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1196]) ).
tcf(c_19909,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1195]) ).
tcf(c_19910,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19882,c_1194]) ).
tcf(c_19911,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19882,c_1206]) ).
tcf(c_19912,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19882,c_1205]) ).
tcf(c_19913,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_19882,c_1204]) ).
tcf(c_19971,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(global_subsumption_just,[status(thm)],[c_19869,c_129,c_56,c_143,c_12875,c_19869]) ).
tcf(c_19973,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19868,c_19971]) ).
tcf(c_19976,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2580]) ).
tcf(c_19977,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2520]) ).
tcf(c_19978,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2519]) ).
tcf(c_19979,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2518]) ).
tcf(c_19980,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2473]) ).
tcf(c_19981,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2472]) ).
tcf(c_19982,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2471]) ).
tcf(c_19983,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2452]) ).
tcf(c_19984,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2451]) ).
tcf(c_19985,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2450]) ).
tcf(c_19986,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2425]) ).
tcf(c_19987,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2424]) ).
tcf(c_19988,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2423]) ).
tcf(c_19989,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19971,c_2380]) ).
tcf(c_19990,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19971,c_2372]) ).
tcf(c_19991,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1197]) ).
tcf(c_19992,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1199]) ).
tcf(c_19993,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1198]) ).
tcf(c_19994,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1203]) ).
tcf(c_19995,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1201]) ).
tcf(c_19996,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2367]) ).
tcf(c_19997,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1196]) ).
tcf(c_19998,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1195]) ).
tcf(c_19999,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19971,c_1194]) ).
tcf(c_20000,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19971,c_1206]) ).
tcf(c_20001,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19971,c_1205]) ).
tcf(c_20002,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_19971,c_1204]) ).
tcf(c_20310,plain,
aScalar0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(global_subsumption_just,[status(thm)],[c_19879,c_131,c_56,c_143,c_12880,c_19879]) ).
tcf(c_20312,plain,
aScalar0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_8901,c_20310]) ).
tcf(c_20313,plain,
aScalar0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_8026,c_20310]) ).
tcf(c_20315,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))))) = smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2580]) ).
tcf(c_20316,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2520]) ).
tcf(c_20317,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2519]) ).
tcf(c_20318,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2518]) ).
tcf(c_20319,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2473]) ).
tcf(c_20320,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2472]) ).
tcf(c_20321,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2471]) ).
tcf(c_20322,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2452]) ).
tcf(c_20323,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2451]) ).
tcf(c_20324,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2450]) ).
tcf(c_20325,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(xN,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2425]) ).
tcf(c_20326,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(xS,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2424]) ).
tcf(c_20327,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(xR,sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2423]) ).
tcf(c_20328,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20310,c_2380]) ).
tcf(c_20329,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20310,c_2372]) ).
tcf(c_20330,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1197]) ).
tcf(c_20331,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1199]) ).
tcf(c_20332,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1198]) ).
tcf(c_20333,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1203]) ).
tcf(c_20334,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1201]) ).
tcf(c_20335,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2367]) ).
tcf(c_20336,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1196]) ).
tcf(c_20337,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1195]) ).
tcf(c_20338,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20310,c_1194]) ).
tcf(c_20339,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20310,c_1206]) ).
tcf(c_20340,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20310,c_1205]) ).
tcf(c_20341,plain,
smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_20310,c_1204]) ).
tcf(c_20360,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9623,c_5683]) ).
tcf(c_20362,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8083,c_5683]) ).
tcf(c_20369,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_12088,c_19884]) ).
tcf(c_20371,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2580]) ).
tcf(c_20372,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2520]) ).
tcf(c_20373,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2519]) ).
tcf(c_20374,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2518]) ).
tcf(c_20375,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2473]) ).
tcf(c_20376,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2472]) ).
tcf(c_20377,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2471]) ).
tcf(c_20378,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2452]) ).
tcf(c_20379,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2451]) ).
tcf(c_20380,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2450]) ).
tcf(c_20381,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2425]) ).
tcf(c_20382,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2424]) ).
tcf(c_20383,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2423]) ).
tcf(c_20384,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19884,c_2380]) ).
tcf(c_20385,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_19884,c_2372]) ).
tcf(c_20386,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1197]) ).
tcf(c_20387,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1199]) ).
tcf(c_20388,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1198]) ).
tcf(c_20389,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1203]) ).
tcf(c_20390,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1201]) ).
tcf(c_20392,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1196]) ).
tcf(c_20393,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1195]) ).
tcf(c_20394,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19884,c_1194]) ).
tcf(c_20439,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_12089,c_19973]) ).
tcf(c_20441,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2580]) ).
tcf(c_20442,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2520]) ).
tcf(c_20443,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2519]) ).
tcf(c_20444,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2518]) ).
tcf(c_20445,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2473]) ).
tcf(c_20446,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2472]) ).
tcf(c_20447,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2471]) ).
tcf(c_20448,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2452]) ).
tcf(c_20449,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2451]) ).
tcf(c_20450,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2450]) ).
tcf(c_20451,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2425]) ).
tcf(c_20452,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2424]) ).
tcf(c_20453,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2423]) ).
tcf(c_20454,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19973,c_2380]) ).
tcf(c_20455,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_19973,c_2372]) ).
tcf(c_20456,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1197]) ).
tcf(c_20457,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1199]) ).
tcf(c_20458,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1198]) ).
tcf(c_20459,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1203]) ).
tcf(c_20460,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1201]) ).
tcf(c_20462,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1196]) ).
tcf(c_20463,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1195]) ).
tcf(c_20464,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_19973,c_1194]) ).
tcf(c_20520,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2580]) ).
tcf(c_20521,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2520]) ).
tcf(c_20522,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2519]) ).
tcf(c_20523,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2518]) ).
tcf(c_20524,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2473]) ).
tcf(c_20525,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2472]) ).
tcf(c_20526,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2471]) ).
tcf(c_20527,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2452]) ).
tcf(c_20528,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2451]) ).
tcf(c_20529,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2450]) ).
tcf(c_20530,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2425]) ).
tcf(c_20531,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2424]) ).
tcf(c_20532,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2423]) ).
tcf(c_20533,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20369,c_2380]) ).
tcf(c_20534,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_20369,c_2372]) ).
tcf(c_20535,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1197]) ).
tcf(c_20536,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1199]) ).
tcf(c_20537,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1198]) ).
tcf(c_20538,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1203]) ).
tcf(c_20539,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1201]) ).
tcf(c_20540,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2367]) ).
tcf(c_20541,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1196]) ).
tcf(c_20542,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1195]) ).
tcf(c_20543,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20369,c_1194]) ).
tcf(c_20544,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_20369,c_1206]) ).
tcf(c_20545,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_20369,c_1205]) ).
tcf(c_20546,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_20369,c_1204]) ).
tcf(c_20600,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2580]) ).
tcf(c_20601,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2520]) ).
tcf(c_20602,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2519]) ).
tcf(c_20603,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2518]) ).
tcf(c_20604,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2473]) ).
tcf(c_20605,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2472]) ).
tcf(c_20606,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2471]) ).
tcf(c_20607,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2452]) ).
tcf(c_20608,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2451]) ).
tcf(c_20609,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2450]) ).
tcf(c_20610,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2425]) ).
tcf(c_20611,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2424]) ).
tcf(c_20612,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2423]) ).
tcf(c_20613,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20439,c_2380]) ).
tcf(c_20614,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_20439,c_2372]) ).
tcf(c_20615,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1197]) ).
tcf(c_20616,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1199]) ).
tcf(c_20617,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1198]) ).
tcf(c_20618,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1203]) ).
tcf(c_20619,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1201]) ).
tcf(c_20620,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2367]) ).
tcf(c_20621,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1196]) ).
tcf(c_20622,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1195]) ).
tcf(c_20623,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20439,c_1194]) ).
tcf(c_20624,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_20439,c_1206]) ).
tcf(c_20625,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_20439,c_1205]) ).
tcf(c_20626,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_20439,c_1204]) ).
tcf(c_20747,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))))) = smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2580]) ).
tcf(c_20748,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2520]) ).
tcf(c_20749,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2519]) ).
tcf(c_20750,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2518]) ).
tcf(c_20751,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2473]) ).
tcf(c_20752,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2472]) ).
tcf(c_20753,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2471]) ).
tcf(c_20754,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2452]) ).
tcf(c_20755,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2451]) ).
tcf(c_20756,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2450]) ).
tcf(c_20757,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2425]) ).
tcf(c_20758,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2424]) ).
tcf(c_20759,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2423]) ).
tcf(c_20760,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_20312,c_2380]) ).
tcf(c_20761,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20312,c_2372]) ).
tcf(c_20762,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1197]) ).
tcf(c_20763,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1199]) ).
tcf(c_20764,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1198]) ).
tcf(c_20765,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1203]) ).
tcf(c_20766,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1201]) ).
tcf(c_20767,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2367]) ).
tcf(c_20768,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1196]) ).
tcf(c_20769,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1195]) ).
tcf(c_20770,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20312,c_1194]) ).
tcf(c_20771,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20312,c_1206]) ).
tcf(c_20772,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_20312,c_1205]) ).
tcf(c_20773,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_20312,c_1204]) ).
tcf(c_20784,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))))) = smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2580]) ).
tcf(c_20785,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2520]) ).
tcf(c_20786,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2519]) ).
tcf(c_20787,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2518]) ).
tcf(c_20788,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2473]) ).
tcf(c_20789,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2472]) ).
tcf(c_20790,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2471]) ).
tcf(c_20791,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2452]) ).
tcf(c_20792,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2451]) ).
tcf(c_20793,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2450]) ).
tcf(c_20794,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(xN,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2425]) ).
tcf(c_20795,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(xS,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2424]) ).
tcf(c_20796,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(xR,sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2423]) ).
tcf(c_20797,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20313,c_2380]) ).
tcf(c_20798,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20313,c_2372]) ).
tcf(c_20799,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1197]) ).
tcf(c_20800,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1199]) ).
tcf(c_20801,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1198]) ).
tcf(c_20802,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1203]) ).
tcf(c_20803,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1201]) ).
tcf(c_20804,plain,
smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2367]) ).
tcf(c_20805,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1196]) ).
tcf(c_20806,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1195]) ).
tcf(c_20807,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20313,c_1194]) ).
tcf(c_20808,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20313,c_1206]) ).
tcf(c_20809,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_20313,c_1205]) ).
tcf(c_20810,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_20313,c_1204]) ).
tcf(c_20839,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_8901,c_19881]) ).
tcf(c_20840,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_8026,c_19881]) ).
tcf(c_20849,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_8901,c_19878]) ).
tcf(c_20850,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_8026,c_19878]) ).
tcf(c_20854,plain,
aScalar0(smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_19878,c_20310]) ).
tcf(c_20856,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_12090,c_20854]) ).
tcf(c_20858,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))))) = smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2580]) ).
tcf(c_20859,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2520]) ).
tcf(c_20860,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2519]) ).
tcf(c_20861,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2518]) ).
tcf(c_20862,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2473]) ).
tcf(c_20863,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2472]) ).
tcf(c_20864,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2471]) ).
tcf(c_20865,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2452]) ).
tcf(c_20866,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2451]) ).
tcf(c_20867,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2450]) ).
tcf(c_20868,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2425]) ).
tcf(c_20869,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2424]) ).
tcf(c_20870,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2423]) ).
tcf(c_20871,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20854,c_2380]) ).
tcf(c_20872,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20854,c_2372]) ).
tcf(c_20873,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1197]) ).
tcf(c_20874,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1199]) ).
tcf(c_20875,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1198]) ).
tcf(c_20876,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1203]) ).
tcf(c_20877,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1201]) ).
tcf(c_20879,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1196]) ).
tcf(c_20880,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1195]) ).
tcf(c_20881,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(sz0z00,xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20854,c_1194]) ).
tcf(c_20972,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2580]) ).
tcf(c_20973,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2520]) ).
tcf(c_20974,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2519]) ).
tcf(c_20975,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2518]) ).
tcf(c_20976,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2473]) ).
tcf(c_20977,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2472]) ).
tcf(c_20978,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2471]) ).
tcf(c_20979,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2452]) ).
tcf(c_20980,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2451]) ).
tcf(c_20981,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2450]) ).
tcf(c_20982,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2425]) ).
tcf(c_20983,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2424]) ).
tcf(c_20984,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2423]) ).
tcf(c_20985,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20856,c_2380]) ).
tcf(c_20986,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_20856,c_2372]) ).
tcf(c_20987,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1197]) ).
tcf(c_20988,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1199]) ).
tcf(c_20989,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1198]) ).
tcf(c_20990,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1203]) ).
tcf(c_20991,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1201]) ).
tcf(c_20992,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2367]) ).
tcf(c_20993,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1196]) ).
tcf(c_20994,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1195]) ).
tcf(c_20995,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_20856,c_1194]) ).
tcf(c_20996,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_20856,c_1206]) ).
tcf(c_20997,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_20856,c_1205]) ).
tcf(c_20998,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_20856,c_1204]) ).
tcf(c_21123,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xS))),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9623,c_5684]) ).
tcf(c_21125,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtasdt0(xS,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8083,c_5684]) ).
tcf(c_21143,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_12055,c_12091]) ).
tcf(c_21145,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(sz0z00))) ),
inference(superposition,[status(thm)],[c_12091,c_1211]) ).
tcf(c_21146,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_12091,c_11016]) ).
tcf(c_21147,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_12091,c_11455]) ).
tcf(c_21172,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12869,c_12096]) ).
tcf(c_21173,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xR))) ),
inference(superposition,[status(thm)],[c_12096,c_1211]) ).
tcf(c_21174,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_12096,c_11020]) ).
tcf(c_21175,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_12096,c_13676]) ).
tcf(c_21207,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_12874,c_12097]) ).
tcf(c_21208,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xS))) ),
inference(superposition,[status(thm)],[c_12097,c_1211]) ).
tcf(c_21209,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_12097,c_11021]) ).
tcf(c_21210,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_12097,c_13777]) ).
tcf(c_21227,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_12879,c_12098]) ).
tcf(c_21228,plain,
( aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))
| ~ aScalar0(sdtasdt0(sz0z00,smndt0(xN))) ),
inference(superposition,[status(thm)],[c_12098,c_1211]) ).
tcf(c_21229,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_12098,c_11022]) ).
tcf(c_21230,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_12098,c_13859]) ).
tcf(c_21266,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(global_subsumption_just,[status(thm)],[c_21145,c_56,c_156,c_11406,c_21145]) ).
tcf(c_21272,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2580]) ).
tcf(c_21273,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2520]) ).
tcf(c_21274,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2519]) ).
tcf(c_21275,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2518]) ).
tcf(c_21276,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2473]) ).
tcf(c_21277,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2472]) ).
tcf(c_21278,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2471]) ).
tcf(c_21279,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2452]) ).
tcf(c_21280,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2451]) ).
tcf(c_21281,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2450]) ).
tcf(c_21282,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2425]) ).
tcf(c_21283,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2424]) ).
tcf(c_21284,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2423]) ).
tcf(c_21285,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_21266,c_2380]) ).
tcf(c_21286,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_21266,c_2372]) ).
tcf(c_21287,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1197]) ).
tcf(c_21288,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1199]) ).
tcf(c_21289,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1198]) ).
tcf(c_21290,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1203]) ).
tcf(c_21291,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1201]) ).
tcf(c_21292,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2367]) ).
tcf(c_21293,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1196]) ).
tcf(c_21294,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1195]) ).
tcf(c_21295,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21266,c_1194]) ).
tcf(c_21296,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_21266,c_1206]) ).
tcf(c_21297,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21266,c_1205]) ).
tcf(c_21298,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_21266,c_1204]) ).
tcf(c_21380,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(global_subsumption_just,[status(thm)],[c_21173,c_125,c_56,c_143,c_12870,c_21173]) ).
tcf(c_21385,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2580]) ).
tcf(c_21386,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2520]) ).
tcf(c_21387,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2519]) ).
tcf(c_21388,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2518]) ).
tcf(c_21389,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2473]) ).
tcf(c_21390,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2472]) ).
tcf(c_21391,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2471]) ).
tcf(c_21392,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2452]) ).
tcf(c_21393,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2451]) ).
tcf(c_21394,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2450]) ).
tcf(c_21395,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2425]) ).
tcf(c_21396,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2424]) ).
tcf(c_21397,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2423]) ).
tcf(c_21398,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_21380,c_2380]) ).
tcf(c_21399,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21380,c_2372]) ).
tcf(c_21400,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1197]) ).
tcf(c_21401,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1199]) ).
tcf(c_21402,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1198]) ).
tcf(c_21403,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1203]) ).
tcf(c_21404,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1201]) ).
tcf(c_21405,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2367]) ).
tcf(c_21406,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1196]) ).
tcf(c_21407,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1195]) ).
tcf(c_21408,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21380,c_1194]) ).
tcf(c_21409,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21380,c_1206]) ).
tcf(c_21410,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_21380,c_1205]) ).
tcf(c_21411,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(xR)),
inference(superposition,[status(thm)],[c_21380,c_1204]) ).
tcf(c_21524,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(global_subsumption_just,[status(thm)],[c_21208,c_129,c_56,c_143,c_12875,c_21208]) ).
tcf(c_21529,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2580]) ).
tcf(c_21530,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2520]) ).
tcf(c_21531,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2519]) ).
tcf(c_21532,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2518]) ).
tcf(c_21533,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2473]) ).
tcf(c_21534,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2472]) ).
tcf(c_21535,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2471]) ).
tcf(c_21536,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2452]) ).
tcf(c_21537,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2451]) ).
tcf(c_21538,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2450]) ).
tcf(c_21539,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2425]) ).
tcf(c_21540,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2424]) ).
tcf(c_21541,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2423]) ).
tcf(c_21542,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_21524,c_2380]) ).
tcf(c_21543,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_21524,c_2372]) ).
tcf(c_21544,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1197]) ).
tcf(c_21545,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1199]) ).
tcf(c_21546,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1198]) ).
tcf(c_21547,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1203]) ).
tcf(c_21548,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1201]) ).
tcf(c_21549,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2367]) ).
tcf(c_21550,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1196]) ).
tcf(c_21551,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1195]) ).
tcf(c_21552,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21524,c_1194]) ).
tcf(c_21553,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_21524,c_1206]) ).
tcf(c_21554,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_21524,c_1205]) ).
tcf(c_21555,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(xS)),
inference(superposition,[status(thm)],[c_21524,c_1204]) ).
tcf(c_21564,plain,
aScalar0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(global_subsumption_just,[status(thm)],[c_21228,c_131,c_56,c_143,c_12880,c_21228]) ).
tcf(c_21569,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))))) = smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2580]) ).
tcf(c_21570,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2520]) ).
tcf(c_21571,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2519]) ).
tcf(c_21572,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2518]) ).
tcf(c_21573,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2473]) ).
tcf(c_21574,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2472]) ).
tcf(c_21575,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2471]) ).
tcf(c_21576,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2452]) ).
tcf(c_21577,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2451]) ).
tcf(c_21578,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2450]) ).
tcf(c_21579,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(xN,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2425]) ).
tcf(c_21580,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(xS,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2424]) ).
tcf(c_21581,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(xR,sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2423]) ).
tcf(c_21582,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_21564,c_2380]) ).
tcf(c_21583,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_21564,c_2372]) ).
tcf(c_21584,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1197]) ).
tcf(c_21585,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1199]) ).
tcf(c_21586,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1198]) ).
tcf(c_21587,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1203]) ).
tcf(c_21588,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1201]) ).
tcf(c_21589,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2367]) ).
tcf(c_21590,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1196]) ).
tcf(c_21591,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1195]) ).
tcf(c_21592,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_21564,c_1194]) ).
tcf(c_21593,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_21564,c_1206]) ).
tcf(c_21594,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_21564,c_1205]) ).
tcf(c_21595,plain,
smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(xN)),
inference(superposition,[status(thm)],[c_21564,c_1204]) ).
tcf(c_21670,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_1131,c_13996]) ).
tcf(c_21680,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_1131,c_13997]) ).
tcf(c_21690,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_1131,c_13998]) ).
tcf(c_21691,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_13998]) ).
tcf(c_21692,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_13998]) ).
tcf(c_21697,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_21690]) ).
tcf(c_21698,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_21690]) ).
tcf(c_21719,plain,
smndt0(smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_14795,c_14801]) ).
tcf(c_21723,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9624,c_5779]) ).
tcf(c_21724,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8084,c_5779]) ).
tcf(c_21727,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xN))),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9624,c_5780]) ).
tcf(c_21728,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8084,c_5780]) ).
tcf(c_21733,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10484,c_6600]) ).
tcf(c_21734,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9097,c_6600]) ).
tcf(c_21739,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_10484,c_6601]) ).
tcf(c_21740,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_9097,c_6601]) ).
tcf(c_21748,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9375,c_21719]) ).
tcf(c_21750,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_7271,c_21719]) ).
tcf(c_21753,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_21719,c_3950]) ).
tcf(c_21761,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_21748,c_9435]) ).
tcf(c_21762,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_21748,c_7275]) ).
tcf(c_21763,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21748,c_4222]) ).
tcf(c_21770,plain,
smndt0(sdtasdt0(xR,smndt0(sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_21750,c_7731]) ).
tcf(c_21780,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21753,c_4222]) ).
tcf(c_21781,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21753,c_4221]) ).
tcf(c_21809,plain,
sdtasdt0(xR,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_21770,c_9435]) ).
tcf(c_21810,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_21770,c_7275]) ).
tcf(c_21811,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(xR,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_21770,c_4222]) ).
tcf(c_21812,plain,
sdtpldt0(sdtasdt0(xR,smndt0(sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_21770,c_4221]) ).
tcf(c_21900,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_15050,c_5605]) ).
tcf(c_21901,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_15050,c_9622]) ).
tcf(c_21902,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_15050,c_5604]) ).
tcf(c_21903,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_15050,c_8082]) ).
tcf(c_21906,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_15050,c_5606]) ).
tcf(c_21908,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_15051,c_15057]) ).
tcf(c_21911,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_10488,c_6705]) ).
tcf(c_21912,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9101,c_6705]) ).
tcf(c_21915,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_10488,c_6706]) ).
tcf(c_21916,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_9101,c_6706]) ).
tcf(c_21919,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_10489,c_6885]) ).
tcf(c_21920,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9102,c_6885]) ).
tcf(c_21923,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_10489,c_6886]) ).
tcf(c_21924,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_9102,c_6886]) ).
tcf(c_21935,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_21908,c_3055]) ).
tcf(c_21936,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_21908,c_3054]) ).
tcf(c_21938,plain,
smndt0(sdtasdt0(xR,smndt0(xS))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_21908,c_2583]) ).
tcf(c_21944,plain,
smndt0(sdtasdt0(xS,smndt0(xR))) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_10839,c_21938]) ).
tcf(c_21960,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_21944,c_5605]) ).
tcf(c_21962,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_21944,c_5604]) ).
tcf(c_21966,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_21944,c_5606]) ).
tcf(c_22006,plain,
smndt0(smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_15120,c_15125]) ).
tcf(c_22011,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9614,c_22006]) ).
tcf(c_22013,plain,
smndt0(sdtasdt0(smndt0(xS),sz0z00)) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8074,c_22006]) ).
tcf(c_22016,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_22006,c_5255]) ).
tcf(c_22024,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22011,c_9618]) ).
tcf(c_22026,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22011,c_8078]) ).
tcf(c_22027,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22011,c_5510]) ).
tcf(c_22029,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_10490,c_6919]) ).
tcf(c_22030,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9103,c_6919]) ).
tcf(c_22033,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_10490,c_6920]) ).
tcf(c_22034,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_9103,c_6920]) ).
tcf(c_22049,plain,
smndt0(sdtasdt0(xS,smndt0(sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_22013,c_8784]) ).
tcf(c_22058,plain,
sdtpldt0(smndt0(sdtasdt0(xS,sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22016,c_5511]) ).
tcf(c_22060,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),smndt0(sdtasdt0(xS,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22016,c_5510]) ).
tcf(c_22088,plain,
sdtasdt0(xS,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_22049,c_9618]) ).
tcf(c_22089,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(xS,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22049,c_5511]) ).
tcf(c_22090,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_22049,c_8078]) ).
tcf(c_22091,plain,
sdtpldt0(sdtasdt0(xS,smndt0(sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_22049,c_5510]) ).
tcf(c_22123,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(smndt0(sdtasdt0(xS,xS)))) ),
inference(superposition,[status(thm)],[c_16270,c_1211]) ).
tcf(c_22124,plain,
smndt0(smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_16388,c_16392]) ).
tcf(c_22129,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(sdtasdt0(xS,xS)) ),
inference(superposition,[status(thm)],[c_16276,c_22123]) ).
tcf(c_22130,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(sdtasdt0(xS,smndt0(xS)))) ),
inference(superposition,[status(thm)],[c_9616,c_22123]) ).
tcf(c_22131,plain,
( aScalar0(smndt0(sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(sdtasdt0(smndt0(xS),xS))) ),
inference(superposition,[status(thm)],[c_8076,c_22123]) ).
tcf(c_22161,plain,
aScalar0(smndt0(sdtasdt0(xS,xS))),
inference(global_subsumption_just,[status(thm)],[c_22129,c_129,c_2385,c_2465,c_22129]) ).
tcf(c_22165,plain,
smndt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))))) = smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2580]) ).
tcf(c_22166,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2520]) ).
tcf(c_22167,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2519]) ).
tcf(c_22168,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2518]) ).
tcf(c_22169,plain,
sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2473]) ).
tcf(c_22170,plain,
sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2472]) ).
tcf(c_22171,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2471]) ).
tcf(c_22172,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2452]) ).
tcf(c_22173,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2451]) ).
tcf(c_22174,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2450]) ).
tcf(c_22175,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2425]) ).
tcf(c_22176,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2424]) ).
tcf(c_22177,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2423]) ).
tcf(c_22178,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_22161,c_2380]) ).
tcf(c_22179,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),smndt0(smndt0(sdtasdt0(xS,xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_22161,c_2372]) ).
tcf(c_22180,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xS)),X1_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,xS)),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1197]) ).
tcf(c_22181,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0),sdtasdt0(smndt0(sdtasdt0(xS,xS)),X1_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1199]) ).
tcf(c_22182,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(smndt0(sdtasdt0(xS,xS)),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1198]) ).
tcf(c_22183,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(smndt0(sdtasdt0(xS,xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1203]) ).
tcf(c_22184,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(smndt0(sdtasdt0(xS,xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1201]) ).
tcf(c_22186,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(xS,xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1196]) ).
tcf(c_22187,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xS))),X0_iProver_smndt0_0) = smndt0(sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1195]) ).
tcf(c_22188,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(xS,xS))),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(smndt0(sdtasdt0(xS,xS)),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_22161,c_1194]) ).
tcf(c_22234,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_10480,c_22124]) ).
tcf(c_22236,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_9093,c_22124]) ).
tcf(c_22239,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_22124,c_6315]) ).
tcf(c_22247,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22234,c_6601]) ).
tcf(c_22249,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22234,c_10484]) ).
tcf(c_22250,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22234,c_9097]) ).
tcf(c_22269,plain,
smndt0(sdtasdt0(xN,smndt0(sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_22236,c_10158]) ).
tcf(c_22277,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22239,c_6601]) ).
tcf(c_22278,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22239,c_6600]) ).
tcf(c_22308,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22269,c_6601]) ).
tcf(c_22309,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_22269,c_6600]) ).
tcf(c_22310,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_22269,c_10484]) ).
tcf(c_22311,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_22269,c_9097]) ).
tcf(c_22400,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_16859,c_5605]) ).
tcf(c_22401,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_16859,c_9622]) ).
tcf(c_22402,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16859,c_5604]) ).
tcf(c_22403,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_16859,c_8082]) ).
tcf(c_22406,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_16859,c_5606]) ).
tcf(c_22437,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_17548]) ).
tcf(c_22438,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_17548]) ).
tcf(c_22522,plain,
smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_18405]) ).
tcf(c_22523,plain,
smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))) = sdtasdt0(xS,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_18405]) ).
tcf(c_22586,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_19075]) ).
tcf(c_22587,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_19075]) ).
tcf(c_22590,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_19094,c_19097]) ).
tcf(c_22596,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_12087,c_22590]) ).
tcf(c_22598,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_11012,c_22590]) ).
tcf(c_22600,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_22590,c_11603]) ).
tcf(c_22617,plain,
smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22596,c_12455]) ).
tcf(c_22625,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22598,c_12091]) ).
tcf(c_22626,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_22598,c_11016]) ).
tcf(c_22853,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22617,c_12091]) ).
tcf(c_22854,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22617,c_11016]) ).
tcf(c_22905,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_21670,c_19845]) ).
tcf(c_22906,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_19843,c_19845]) ).
tcf(c_22915,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_22905,c_12096]) ).
tcf(c_22920,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_12088,c_22906]) ).
tcf(c_22923,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_22906,c_12991]) ).
tcf(c_22936,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22920,c_20546]) ).
tcf(c_22957,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22936,c_12096]) ).
tcf(c_22958,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22936,c_11020]) ).
tcf(c_22980,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_21680,c_19870]) ).
tcf(c_22981,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_19868,c_19870]) ).
tcf(c_22990,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_22980,c_12097]) ).
tcf(c_22995,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_12089,c_22981]) ).
tcf(c_22998,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_22981,c_13205]) ).
tcf(c_23020,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_22617,c_11453]) ).
tcf(c_23021,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22600,c_11453]) ).
tcf(c_23022,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22598,c_11453]) ).
tcf(c_23023,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12091,c_11453]) ).
tcf(c_23024,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_11016,c_11453]) ).
tcf(c_23050,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_22995,c_20626]) ).
tcf(c_23071,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23050,c_12097]) ).
tcf(c_23072,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23050,c_11021]) ).
tcf(c_23094,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_21690,c_19880]) ).
tcf(c_23095,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_19878,c_19880]) ).
tcf(c_23097,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_19880]) ).
tcf(c_23098,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_19880]) ).
tcf(c_23116,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_23094,c_12098]) ).
tcf(c_23121,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_12090,c_23095]) ).
tcf(c_23124,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_23095,c_13421]) ).
tcf(c_23137,plain,
smndt0(sdtasdt0(sz0z00,smndt0(xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23121,c_20998]) ).
tcf(c_23149,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22617,c_11454]) ).
tcf(c_23150,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_22600,c_11454]) ).
tcf(c_23152,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12091,c_11454]) ).
tcf(c_23153,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_11016,c_11454]) ).
tcf(c_23199,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_22936,c_13674]) ).
tcf(c_23200,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22923,c_13674]) ).
tcf(c_23201,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22905,c_13674]) ).
tcf(c_23202,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_12096,c_13674]) ).
tcf(c_23203,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_11020,c_13674]) ).
tcf(c_23216,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23137,c_12098]) ).
tcf(c_23217,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23137,c_11022]) ).
tcf(c_23232,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_8901,c_23217]) ).
tcf(c_23233,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_8026,c_23217]) ).
tcf(c_23325,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22936,c_13675]) ).
tcf(c_23326,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_22923,c_13675]) ).
tcf(c_23328,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_12096,c_13675]) ).
tcf(c_23329,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_11020,c_13675]) ).
tcf(c_23335,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_23050,c_13775]) ).
tcf(c_23336,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_22998,c_13775]) ).
tcf(c_23337,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_22980,c_13775]) ).
tcf(c_23338,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_12097,c_13775]) ).
tcf(c_23339,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_11021,c_13775]) ).
tcf(c_23359,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_23050,c_13776]) ).
tcf(c_23360,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_22998,c_13776]) ).
tcf(c_23362,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_12097,c_13776]) ).
tcf(c_23363,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_11021,c_13776]) ).
tcf(c_23377,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_23137,c_13857]) ).
tcf(c_23378,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23124,c_13857]) ).
tcf(c_23379,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23094,c_13857]) ).
tcf(c_23380,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_12098,c_13857]) ).
tcf(c_23381,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_11022,c_13857]) ).
tcf(c_23465,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_21901,c_15057]) ).
tcf(c_23478,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_21903,c_15057]) ).
tcf(c_23497,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23137,c_13858]) ).
tcf(c_23498,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_23124,c_13858]) ).
tcf(c_23500,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_12098,c_13858]) ).
tcf(c_23501,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_11022,c_13858]) ).
tcf(c_23714,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))),smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_3369]) ).
tcf(c_23715,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))),smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_3369]) ).
tcf(c_23716,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))),smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_3369]) ).
tcf(c_23727,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3604,c_3369]) ).
tcf(c_23728,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3671,c_3369]) ).
tcf(c_23729,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3735,c_3369]) ).
tcf(c_23730,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_3782,c_3369]) ).
tcf(c_23731,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_8392,c_3369]) ).
tcf(c_23732,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_16094,c_3369]) ).
tcf(c_23736,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4622,c_3369]) ).
tcf(c_23737,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4735,c_3369]) ).
tcf(c_23738,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_4205,c_3369]) ).
tcf(c_23739,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_4280,c_3369]) ).
tcf(c_23740,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4381,c_3369]) ).
tcf(c_23741,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_4802,c_3369]) ).
tcf(c_23742,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4478,c_3369]) ).
tcf(c_23743,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_4894,c_3369]) ).
tcf(c_23747,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5863,c_3369]) ).
tcf(c_23748,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5919,c_3369]) ).
tcf(c_23749,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_5493,c_3369]) ).
tcf(c_23750,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_5983,c_3369]) ).
tcf(c_23751,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_5588,c_3369]) ).
tcf(c_23752,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_5668,c_3369]) ).
tcf(c_23753,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_5764,c_3369]) ).
tcf(c_23758,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6969,c_3369]) ).
tcf(c_23759,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_7187,c_3369]) ).
tcf(c_23760,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_6582,c_3369]) ).
tcf(c_23761,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_6689,c_3369]) ).
tcf(c_23762,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_7222,c_3369]) ).
tcf(c_23763,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_6869,c_3369]) ).
tcf(c_23764,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_6903,c_3369]) ).
tcf(c_23765,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_7625,c_3369]) ).
tcf(c_23766,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_7451,c_3369]) ).
tcf(c_23767,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_7459,c_3369]) ).
tcf(c_23768,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_7729,c_3369]) ).
tcf(c_23769,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_7879,c_3369]) ).
tcf(c_23770,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_8971,c_3369]) ).
tcf(c_23771,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_8420,c_3369]) ).
tcf(c_23772,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_8782,c_3369]) ).
tcf(c_23773,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_9272,c_3369]) ).
tcf(c_23774,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_9418,c_3369]) ).
tcf(c_23775,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_9425,c_3369]) ).
tcf(c_23776,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_10156,c_3369]) ).
tcf(c_23777,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_11429,c_3369]) ).
tcf(c_23778,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_13649,c_3369]) ).
tcf(c_23781,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_13750,c_3369]) ).
tcf(c_23784,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_13832,c_3369]) ).
tcf(c_23787,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_19762,c_3369]) ).
tcf(c_23788,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_12426,c_3369]) ).
tcf(c_23789,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_20369,c_3369]) ).
tcf(c_23791,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_20439,c_3369]) ).
tcf(c_23793,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_20856,c_3369]) ).
tcf(c_23795,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19884,c_3369]) ).
tcf(c_23796,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19973,c_3369]) ).
tcf(c_23797,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20854,c_3369]) ).
tcf(c_23798,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_14842,c_3369]) ).
tcf(c_23799,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_14952,c_3369]) ).
tcf(c_23800,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_15126,c_3369]) ).
tcf(c_23801,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_15231,c_3369]) ).
tcf(c_23802,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_15405,c_3369]) ).
tcf(c_23803,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_15767,c_3369]) ).
tcf(c_23804,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_16401,c_3369]) ).
tcf(c_23805,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_22161,c_3369]) ).
tcf(c_23806,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_16515,c_3369]) ).
tcf(c_23807,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_16615,c_3369]) ).
tcf(c_23808,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_16940,c_3369]) ).
tcf(c_23809,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_17203,c_3369]) ).
tcf(c_23810,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17317,c_3369]) ).
tcf(c_23811,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17414,c_3369]) ).
tcf(c_23812,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17724,c_3369]) ).
tcf(c_23813,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17826,c_3369]) ).
tcf(c_23814,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17923,c_3369]) ).
tcf(c_23815,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18096,c_3369]) ).
tcf(c_23816,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_17829,c_3369]) ).
tcf(c_23817,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_17830,c_3369]) ).
tcf(c_23818,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18524,c_3369]) ).
tcf(c_23819,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18621,c_3369]) ).
tcf(c_23820,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18721,c_3369]) ).
tcf(c_23821,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_18624,c_3369]) ).
tcf(c_23822,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_18625,c_3369]) ).
tcf(c_23823,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19099,c_3369]) ).
tcf(c_23824,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19214,c_3369]) ).
tcf(c_23825,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19285,c_3369]) ).
tcf(c_23826,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19404,c_3369]) ).
tcf(c_23827,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_19288,c_3369]) ).
tcf(c_23828,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_19289,c_3369]) ).
tcf(c_23829,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19882,c_3369]) ).
tcf(c_23830,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19971,c_3369]) ).
tcf(c_23831,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20310,c_3369]) ).
tcf(c_23832,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_20312,c_3369]) ).
tcf(c_23833,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20313,c_3369]) ).
tcf(c_23834,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_21266,c_3369]) ).
tcf(c_23835,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_21380,c_3369]) ).
tcf(c_23836,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_21524,c_3369]) ).
tcf(c_23837,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_21564,c_3369]) ).
tcf(c_24318,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(smndt0(X0_iProver_smndt0_0))),smndt0(smndt0(smndt0(smndt0(X0_iProver_smndt0_0))))) = sz0z00 )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_3408]) ).
tcf(c_24319,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))),smndt0(smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_3408]) ).
tcf(c_24320,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))),smndt0(smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))))) = sz0z00 )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_3408]) ).
tcf(c_24331,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3604,c_3408]) ).
tcf(c_24332,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3671,c_3408]) ).
tcf(c_24333,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3735,c_3408]) ).
tcf(c_24334,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_3782,c_3408]) ).
tcf(c_24335,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_8392,c_3408]) ).
tcf(c_24336,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16094,c_3408]) ).
tcf(c_24340,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4622,c_3408]) ).
tcf(c_24341,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4735,c_3408]) ).
tcf(c_24342,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4205,c_3408]) ).
tcf(c_24343,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4280,c_3408]) ).
tcf(c_24344,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4381,c_3408]) ).
tcf(c_24345,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4802,c_3408]) ).
tcf(c_24346,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4478,c_3408]) ).
tcf(c_24347,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xR,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_4894,c_3408]) ).
tcf(c_24351,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5863,c_3408]) ).
tcf(c_24352,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5919,c_3408]) ).
tcf(c_24353,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5493,c_3408]) ).
tcf(c_24354,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5983,c_3408]) ).
tcf(c_24355,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5588,c_3408]) ).
tcf(c_24356,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5668,c_3408]) ).
tcf(c_24357,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_5764,c_3408]) ).
tcf(c_24362,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6969,c_3408]) ).
tcf(c_24363,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7187,c_3408]) ).
tcf(c_24364,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6582,c_3408]) ).
tcf(c_24365,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6689,c_3408]) ).
tcf(c_24366,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7222,c_3408]) ).
tcf(c_24367,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6869,c_3408]) ).
tcf(c_24368,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_6903,c_3408]) ).
tcf(c_24369,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xN,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_7625,c_3408]) ).
tcf(c_24370,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_7451,c_3408]) ).
tcf(c_24371,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_7459,c_3408]) ).
tcf(c_24372,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_7729,c_3408]) ).
tcf(c_24373,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_7879,c_3408]) ).
tcf(c_24374,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_8971,c_3408]) ).
tcf(c_24375,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_8420,c_3408]) ).
tcf(c_24376,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_8782,c_3408]) ).
tcf(c_24377,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_9272,c_3408]) ).
tcf(c_24378,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_9418,c_3408]) ).
tcf(c_24379,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_9425,c_3408]) ).
tcf(c_24380,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_10156,c_3408]) ).
tcf(c_24381,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_11429,c_3408]) ).
tcf(c_24382,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13649,c_3408]) ).
tcf(c_24385,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13750,c_3408]) ).
tcf(c_24388,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_13832,c_3408]) ).
tcf(c_24391,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19762,c_3408]) ).
tcf(c_24392,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_12426,c_3408]) ).
tcf(c_24393,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_20369,c_3408]) ).
tcf(c_24395,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_20439,c_3408]) ).
tcf(c_24397,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_20856,c_3408]) ).
tcf(c_24399,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19884,c_3408]) ).
tcf(c_24400,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19973,c_3408]) ).
tcf(c_24401,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20854,c_3408]) ).
tcf(c_24402,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_14842,c_3408]) ).
tcf(c_24403,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_14952,c_3408]) ).
tcf(c_24404,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15126,c_3408]) ).
tcf(c_24405,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15231,c_3408]) ).
tcf(c_24406,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15405,c_3408]) ).
tcf(c_24407,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_15767,c_3408]) ).
tcf(c_24408,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16401,c_3408]) ).
tcf(c_24409,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))),smndt0(smndt0(smndt0(smndt0(sdtasdt0(xS,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_22161,c_3408]) ).
tcf(c_24410,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16515,c_3408]) ).
tcf(c_24411,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16615,c_3408]) ).
tcf(c_24412,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_16940,c_3408]) ).
tcf(c_24413,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17203,c_3408]) ).
tcf(c_24414,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17317,c_3408]) ).
tcf(c_24415,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17414,c_3408]) ).
tcf(c_24416,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17724,c_3408]) ).
tcf(c_24417,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17826,c_3408]) ).
tcf(c_24418,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_17923,c_3408]) ).
tcf(c_24419,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18096,c_3408]) ).
tcf(c_24420,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17829,c_3408]) ).
tcf(c_24421,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_17830,c_3408]) ).
tcf(c_24422,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18524,c_3408]) ).
tcf(c_24423,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18621,c_3408]) ).
tcf(c_24424,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_18721,c_3408]) ).
tcf(c_24425,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18624,c_3408]) ).
tcf(c_24426,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_18625,c_3408]) ).
tcf(c_24427,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19099,c_3408]) ).
tcf(c_24428,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19214,c_3408]) ).
tcf(c_24429,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19285,c_3408]) ).
tcf(c_24430,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19404,c_3408]) ).
tcf(c_24431,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19288,c_3408]) ).
tcf(c_24432,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_19289,c_3408]) ).
tcf(c_24433,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19882,c_3408]) ).
tcf(c_24434,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))))) = sz0z00,
inference(superposition,[status(thm)],[c_19971,c_3408]) ).
tcf(c_24435,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))))) = sz0z00,
inference(superposition,[status(thm)],[c_20310,c_3408]) ).
tcf(c_24436,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20312,c_3408]) ).
tcf(c_24437,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_20313,c_3408]) ).
tcf(c_24438,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21266,c_3408]) ).
tcf(c_24439,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21380,c_3408]) ).
tcf(c_24440,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21524,c_3408]) ).
tcf(c_24441,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))))) = sz0z00,
inference(superposition,[status(thm)],[c_21564,c_3408]) ).
tcf(c_25159,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_3983,c_14798]) ).
tcf(c_25162,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))),sdtasdt0(xR,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_16805,c_25159]) ).
tcf(c_25196,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_23478,c_15798]) ).
tcf(c_25230,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_25196,c_4397]) ).
tcf(c_25231,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_25196,c_4396]) ).
tcf(c_25248,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_3983,c_14799]) ).
tcf(c_25257,plain,
sdtpldt0(sdtasdt0(xR,sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_16805,c_25248]) ).
tcf(c_25278,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_21901,c_15053]) ).
tcf(c_25284,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_1137,c_15053]) ).
tcf(c_25286,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_21903,c_25284]) ).
tcf(c_25287,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(xR))),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_21901,c_25284]) ).
tcf(c_25288,plain,
sdtpldt0(sdtasdt0(xR,smndt0(smndt0(xS))),smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_16862,c_25284]) ).
tcf(c_25331,plain,
sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_1137,c_15054]) ).
tcf(c_25333,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21901,c_15054]) ).
tcf(c_25339,plain,
sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_21903,c_25331]) ).
tcf(c_25340,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_21901,c_25331]) ).
tcf(c_25341,plain,
sdtpldt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_16862,c_25331]) ).
tcf(c_25369,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_5345,c_15123]) ).
tcf(c_25378,plain,
sdtpldt0(sdtasdt0(xS,sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_17642,c_25369]) ).
tcf(c_25398,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_5345,c_15635]) ).
tcf(c_25401,plain,
sdtpldt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))),sdtasdt0(xS,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_17642,c_25398]) ).
tcf(c_25514,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xS,xR)),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8901,c_17545]) ).
tcf(c_25515,plain,
sdtpldt0(sdtasdt0(xR,sdtasdt0(xR,xS)),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8026,c_17545]) ).
tcf(c_25519,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_8901,c_17546]) ).
tcf(c_25520,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(xR,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8026,c_17546]) ).
tcf(c_25531,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_23465,c_18127]) ).
tcf(c_25538,plain,
sdtasdt0(xR,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_22437,c_18234]) ).
tcf(c_25542,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_22438,c_18312]) ).
tcf(c_25569,plain,
sdtasdt0(xR,sdtasdt0(xS,xR)) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25538,c_9441]) ).
tcf(c_25570,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25538,c_7281]) ).
tcf(c_25580,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25542,c_25538]) ).
tcf(c_25581,plain,
sdtasdt0(xR,sdtasdt0(xR,xS)) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25542,c_9441]) ).
tcf(c_25582,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_25542,c_7281]) ).
tcf(c_25686,plain,
sdtasdt0(xS,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_22522,c_18889]) ).
tcf(c_25694,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xS,xR)),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_25686,c_5780]) ).
tcf(c_25695,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_25686,c_5779]) ).
tcf(c_25696,plain,
sdtasdt0(xS,sdtasdt0(xS,xR)) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25686,c_9624]) ).
tcf(c_25697,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25686,c_8084]) ).
tcf(c_25721,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = sdtasdt0(xS,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8026,c_25696]) ).
tcf(c_25764,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xN)),sdtasdt0(xS,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_8026,c_21723]) ).
tcf(c_25774,plain,
sdtpldt0(sdtasdt0(xS,sdtasdt0(xR,xS)),sdtasdt0(xS,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_8026,c_21727]) ).
tcf(c_25777,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_22523,c_18987]) ).
tcf(c_25805,plain,
sdtasdt0(xS,sdtasdt0(xR,xS)) = sdtasdt0(xS,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25777,c_9624]) ).
tcf(c_25806,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = sdtasdt0(xS,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_25777,c_8084]) ).
tcf(c_25837,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_6404,c_21733]) ).
tcf(c_25853,plain,
sdtpldt0(sdtasdt0(xN,sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_6404,c_21734]) ).
tcf(c_25875,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_6404,c_21739]) ).
tcf(c_25891,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(xN,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_6404,c_21740]) ).
tcf(c_25909,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_22586,c_19550]) ).
tcf(c_25913,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_22587,c_19669]) ).
tcf(c_25961,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_25909,c_6920]) ).
tcf(c_25962,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_25909,c_6919]) ).
tcf(c_25963,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25909,c_10490]) ).
tcf(c_25964,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25909,c_9103]) ).
tcf(c_25972,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_25913,c_25909]) ).
tcf(c_25973,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_25913,c_6920]) ).
tcf(c_25974,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(xN,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_25913,c_6919]) ).
tcf(c_25975,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_25913,c_10490]) ).
tcf(c_25976,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_25913,c_9103]) ).
tcf(c_26081,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_23097,c_20773]) ).
tcf(c_26088,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_23098,c_20810]) ).
tcf(c_26104,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_26081,c_13858]) ).
tcf(c_26105,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_26081,c_13857]) ).
tcf(c_26109,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_26081,c_12098]) ).
tcf(c_26110,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_26081,c_11022]) ).
tcf(c_26122,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_26088,c_26081]) ).
tcf(c_26123,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_26088,c_13858]) ).
tcf(c_26124,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_26088,c_13857]) ).
tcf(c_26128,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_26088,c_12098]) ).
tcf(c_26129,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_26088,c_11022]) ).
tcf(c_26309,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_12055,c_23023]) ).
tcf(c_26319,plain,
sdtpldt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_21146,c_26309]) ).
tcf(c_26350,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_12055,c_23152]) ).
tcf(c_26353,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),sdtasdt0(sz0z00,sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_21146,c_26350]) ).
tcf(c_26365,plain,
sdtasdt0(smndt0(xN),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2550]) ).
tcf(c_26366,plain,
sdtasdt0(smndt0(xN),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_1147,c_2550]) ).
tcf(c_26367,plain,
sdtasdt0(smndt0(xN),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_1143,c_2550]) ).
tcf(c_26368,plain,
sdtasdt0(smndt0(xN),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_1141,c_2550]) ).
tcf(c_26369,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2550]) ).
tcf(c_26370,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2550]) ).
tcf(c_26371,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xN),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2550]) ).
tcf(c_26372,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2550]) ).
tcf(c_26373,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2550]) ).
tcf(c_26374,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2550]) ).
tcf(c_26375,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2550]) ).
tcf(c_26376,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2550]) ).
tcf(c_26377,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2550]) ).
tcf(c_26379,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2550]) ).
tcf(c_26380,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2550]) ).
tcf(c_26381,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2550]) ).
tcf(c_26382,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2550]) ).
tcf(c_26383,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2550]) ).
tcf(c_26384,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2550]) ).
tcf(c_26385,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2550]) ).
tcf(c_26386,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2550]) ).
tcf(c_26387,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2550]) ).
tcf(c_26388,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2550]) ).
tcf(c_26389,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2550]) ).
tcf(c_26390,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2550]) ).
tcf(c_26391,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2550]) ).
tcf(c_26392,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2550]) ).
tcf(c_26393,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2550]) ).
tcf(c_26394,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2550]) ).
tcf(c_26395,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2550]) ).
tcf(c_26396,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2550]) ).
tcf(c_26397,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2550]) ).
tcf(c_26398,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2550]) ).
tcf(c_26399,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2550]) ).
tcf(c_26400,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2550]) ).
tcf(c_26401,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2550]) ).
tcf(c_26402,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2550]) ).
tcf(c_26403,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2550]) ).
tcf(c_26404,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2550]) ).
tcf(c_26405,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2550]) ).
tcf(c_26406,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2550]) ).
tcf(c_26407,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2550]) ).
tcf(c_26408,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2550]) ).
tcf(c_26409,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2550]) ).
tcf(c_26410,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2550]) ).
tcf(c_26411,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2550]) ).
tcf(c_26412,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2550]) ).
tcf(c_26413,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2550]) ).
tcf(c_26414,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2550]) ).
tcf(c_26415,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2550]) ).
tcf(c_26416,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2550]) ).
tcf(c_26417,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2550]) ).
tcf(c_26418,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2550]) ).
tcf(c_26419,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2550]) ).
tcf(c_26420,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2550]) ).
tcf(c_26421,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2550]) ).
tcf(c_26422,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2550]) ).
tcf(c_26423,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2550]) ).
tcf(c_26424,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2550]) ).
tcf(c_26425,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2550]) ).
tcf(c_26426,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2550]) ).
tcf(c_26427,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2550]) ).
tcf(c_26428,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2550]) ).
tcf(c_26429,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2550]) ).
tcf(c_26430,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2550]) ).
tcf(c_26431,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2550]) ).
tcf(c_26432,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2550]) ).
tcf(c_26433,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2550]) ).
tcf(c_26434,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2550]) ).
tcf(c_26435,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2550]) ).
tcf(c_26437,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2550]) ).
tcf(c_26438,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2550]) ).
tcf(c_26440,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2550]) ).
tcf(c_26441,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2550]) ).
tcf(c_26443,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2550]) ).
tcf(c_26444,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2550]) ).
tcf(c_26445,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2550]) ).
tcf(c_26446,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2550]) ).
tcf(c_26448,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2550]) ).
tcf(c_26450,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2550]) ).
tcf(c_26452,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2550]) ).
tcf(c_26453,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2550]) ).
tcf(c_26454,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2550]) ).
tcf(c_26455,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2550]) ).
tcf(c_26456,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2550]) ).
tcf(c_26457,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2550]) ).
tcf(c_26458,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2550]) ).
tcf(c_26459,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2550]) ).
tcf(c_26460,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2550]) ).
tcf(c_26461,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2550]) ).
tcf(c_26462,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2550]) ).
tcf(c_26463,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2550]) ).
tcf(c_26464,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2550]) ).
tcf(c_26465,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2550]) ).
tcf(c_26466,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2550]) ).
tcf(c_26467,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2550]) ).
tcf(c_26468,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2550]) ).
tcf(c_26469,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2550]) ).
tcf(c_26470,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2550]) ).
tcf(c_26471,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2550]) ).
tcf(c_26472,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2550]) ).
tcf(c_26473,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2550]) ).
tcf(c_26474,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2550]) ).
tcf(c_26475,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2550]) ).
tcf(c_26476,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2550]) ).
tcf(c_26477,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2550]) ).
tcf(c_26478,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2550]) ).
tcf(c_26479,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2550]) ).
tcf(c_26480,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2550]) ).
tcf(c_26481,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2550]) ).
tcf(c_26482,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2550]) ).
tcf(c_26483,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2550]) ).
tcf(c_26484,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2550]) ).
tcf(c_26485,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2550]) ).
tcf(c_26486,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2550]) ).
tcf(c_26487,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2550]) ).
tcf(c_26488,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2550]) ).
tcf(c_26489,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2550]) ).
tcf(c_26490,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2550]) ).
tcf(c_26491,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2550]) ).
tcf(c_26492,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2550]) ).
tcf(c_26493,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2550]) ).
tcf(c_26494,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2550]) ).
tcf(c_26896,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xR)),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_26366,c_9297]) ).
tcf(c_26897,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(smndt0(xN),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_26366,c_9296]) ).
tcf(c_26898,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xR))) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_26366,c_9274]) ).
tcf(c_26912,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_26365,c_10184]) ).
tcf(c_26913,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_26365,c_10183]) ).
tcf(c_26915,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_26365,c_10158]) ).
tcf(c_26920,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xS)),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_26367,c_9847]) ).
tcf(c_26921,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(smndt0(xN),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_26367,c_9846]) ).
tcf(c_26922,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xS))) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_26367,c_9420]) ).
tcf(c_26927,plain,
sdtpldt0(sdtasdt0(smndt0(xN),smndt0(xN)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_26368,c_10000]) ).
tcf(c_26928,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(smndt0(xN),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_26368,c_9999]) ).
tcf(c_26929,plain,
smndt0(sdtasdt0(smndt0(xN),smndt0(xN))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_26368,c_9427]) ).
tcf(c_26932,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_19049,c_26898]) ).
tcf(c_26938,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_18495,c_26915]) ).
tcf(c_26941,plain,
smndt0(smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_16388,c_26915]) ).
tcf(c_26943,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_1131,c_26915]) ).
tcf(c_26953,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_26941,c_6309]) ).
tcf(c_26954,plain,
sdtpldt0(smndt0(sdtasdt0(xN,sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_26941,c_6308]) ).
tcf(c_26957,plain,
smndt0(sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_26941,c_6315]) ).
tcf(c_26966,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_26943,c_10184]) ).
tcf(c_26984,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_19056,c_26922]) ).
tcf(c_26990,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_25976,c_26929]) ).
tcf(c_26991,plain,
smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_25964,c_26929]) ).
tcf(c_26992,plain,
smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_19073,c_26929]) ).
tcf(c_27001,plain,
sdtasdt0(xN,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_26932,c_19129]) ).
tcf(c_27003,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2551]) ).
tcf(c_27004,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = smndt0(sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_1147,c_2551]) ).
tcf(c_27005,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_1143,c_2551]) ).
tcf(c_27006,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_1141,c_2551]) ).
tcf(c_27007,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2551]) ).
tcf(c_27008,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2551]) ).
tcf(c_27009,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xN),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2551]) ).
tcf(c_27010,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2551]) ).
tcf(c_27011,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2551]) ).
tcf(c_27012,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2551]) ).
tcf(c_27013,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2551]) ).
tcf(c_27014,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2551]) ).
tcf(c_27015,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2551]) ).
tcf(c_27017,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2551]) ).
tcf(c_27018,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2551]) ).
tcf(c_27019,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2551]) ).
tcf(c_27020,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2551]) ).
tcf(c_27021,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2551]) ).
tcf(c_27022,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2551]) ).
tcf(c_27023,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2551]) ).
tcf(c_27024,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2551]) ).
tcf(c_27025,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2551]) ).
tcf(c_27026,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2551]) ).
tcf(c_27027,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2551]) ).
tcf(c_27028,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2551]) ).
tcf(c_27029,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2551]) ).
tcf(c_27030,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2551]) ).
tcf(c_27031,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2551]) ).
tcf(c_27032,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2551]) ).
tcf(c_27033,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2551]) ).
tcf(c_27034,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2551]) ).
tcf(c_27035,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2551]) ).
tcf(c_27036,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2551]) ).
tcf(c_27037,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2551]) ).
tcf(c_27038,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2551]) ).
tcf(c_27039,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2551]) ).
tcf(c_27040,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2551]) ).
tcf(c_27041,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2551]) ).
tcf(c_27042,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2551]) ).
tcf(c_27043,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2551]) ).
tcf(c_27044,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2551]) ).
tcf(c_27045,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2551]) ).
tcf(c_27046,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2551]) ).
tcf(c_27047,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2551]) ).
tcf(c_27048,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2551]) ).
tcf(c_27049,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2551]) ).
tcf(c_27050,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2551]) ).
tcf(c_27051,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2551]) ).
tcf(c_27052,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2551]) ).
tcf(c_27053,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2551]) ).
tcf(c_27054,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2551]) ).
tcf(c_27055,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2551]) ).
tcf(c_27056,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2551]) ).
tcf(c_27057,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2551]) ).
tcf(c_27058,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2551]) ).
tcf(c_27059,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2551]) ).
tcf(c_27060,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2551]) ).
tcf(c_27061,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2551]) ).
tcf(c_27062,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2551]) ).
tcf(c_27063,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2551]) ).
tcf(c_27064,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2551]) ).
tcf(c_27065,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2551]) ).
tcf(c_27066,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2551]) ).
tcf(c_27067,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2551]) ).
tcf(c_27068,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2551]) ).
tcf(c_27069,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2551]) ).
tcf(c_27070,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2551]) ).
tcf(c_27071,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2551]) ).
tcf(c_27072,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2551]) ).
tcf(c_27073,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2551]) ).
tcf(c_27075,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2551]) ).
tcf(c_27076,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2551]) ).
tcf(c_27078,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2551]) ).
tcf(c_27079,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2551]) ).
tcf(c_27081,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2551]) ).
tcf(c_27082,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2551]) ).
tcf(c_27083,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2551]) ).
tcf(c_27084,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2551]) ).
tcf(c_27086,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2551]) ).
tcf(c_27088,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2551]) ).
tcf(c_27090,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2551]) ).
tcf(c_27091,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2551]) ).
tcf(c_27092,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2551]) ).
tcf(c_27093,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2551]) ).
tcf(c_27094,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2551]) ).
tcf(c_27095,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2551]) ).
tcf(c_27096,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2551]) ).
tcf(c_27097,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2551]) ).
tcf(c_27098,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2551]) ).
tcf(c_27099,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2551]) ).
tcf(c_27100,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2551]) ).
tcf(c_27101,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2551]) ).
tcf(c_27102,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2551]) ).
tcf(c_27103,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2551]) ).
tcf(c_27104,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2551]) ).
tcf(c_27105,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2551]) ).
tcf(c_27106,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2551]) ).
tcf(c_27107,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2551]) ).
tcf(c_27108,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2551]) ).
tcf(c_27109,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2551]) ).
tcf(c_27110,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2551]) ).
tcf(c_27111,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2551]) ).
tcf(c_27112,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2551]) ).
tcf(c_27113,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2551]) ).
tcf(c_27114,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2551]) ).
tcf(c_27115,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2551]) ).
tcf(c_27116,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2551]) ).
tcf(c_27117,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2551]) ).
tcf(c_27118,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2551]) ).
tcf(c_27119,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2551]) ).
tcf(c_27120,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2551]) ).
tcf(c_27121,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2551]) ).
tcf(c_27122,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2551]) ).
tcf(c_27123,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2551]) ).
tcf(c_27124,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2551]) ).
tcf(c_27125,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2551]) ).
tcf(c_27126,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2551]) ).
tcf(c_27127,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2551]) ).
tcf(c_27128,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2551]) ).
tcf(c_27129,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2551]) ).
tcf(c_27130,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2551]) ).
tcf(c_27131,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2551]) ).
tcf(c_27132,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2551]) ).
tcf(c_28091,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = smndt0(sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6406,c_27004]) ).
tcf(c_28092,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),xR))
| ~ aScalar0(sdtasdt0(smndt0(xN),xR)) ),
inference(superposition,[status(thm)],[c_27004,c_1211]) ).
tcf(c_28093,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_27004,c_26366]) ).
tcf(c_28094,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_27004,c_9297]) ).
tcf(c_28095,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(smndt0(smndt0(xN)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_27004,c_9296]) ).
tcf(c_28096,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_27004,c_9274]) ).
tcf(c_28097,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_27004,c_9277]) ).
tcf(c_28335,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6494,c_27005]) ).
tcf(c_28336,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),xS))
| ~ aScalar0(sdtasdt0(smndt0(xN),xS)) ),
inference(superposition,[status(thm)],[c_27005,c_1211]) ).
tcf(c_28337,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_27005,c_26367]) ).
tcf(c_28338,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_27005,c_9847]) ).
tcf(c_28339,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(smndt0(smndt0(xN)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_27005,c_9846]) ).
tcf(c_28340,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_27005,c_9420]) ).
tcf(c_28341,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_27005,c_9423]) ).
tcf(c_28618,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6497,c_27006]) ).
tcf(c_28619,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),xN))
| ~ aScalar0(sdtasdt0(smndt0(xN),xN)) ),
inference(superposition,[status(thm)],[c_27006,c_1211]) ).
tcf(c_28620,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_27006,c_26368]) ).
tcf(c_28621,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_27006,c_10000]) ).
tcf(c_28622,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(smndt0(smndt0(xN)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_27006,c_9999]) ).
tcf(c_28623,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_27006,c_9427]) ).
tcf(c_28624,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_27006,c_9430]) ).
tcf(c_28987,plain,
sdtasdt0(sdtasdt0(xS,xR),xR) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_8901,c_28097]) ).
tcf(c_28988,plain,
sdtasdt0(sdtasdt0(xR,xS),xR) = sdtasdt0(xN,xR),
inference(superposition,[status(thm)],[c_8026,c_28097]) ).
tcf(c_28990,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_8901,c_28341]) ).
tcf(c_28991,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(xN,xS),
inference(superposition,[status(thm)],[c_8026,c_28341]) ).
tcf(c_28993,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8901,c_28624]) ).
tcf(c_28994,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,xN),
inference(superposition,[status(thm)],[c_8026,c_28624]) ).
tcf(c_29013,plain,
sdtasdt0(xN,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_26938,c_18752]) ).
tcf(c_29027,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(global_subsumption_just,[status(thm)],[c_28092,c_9272,c_28092]) ).
tcf(c_29030,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_8901,c_29027]) ).
tcf(c_29031,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_8026,c_29027]) ).
tcf(c_29033,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2551]) ).
tcf(c_29034,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2550]) ).
tcf(c_29035,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_29027,c_3408]) ).
tcf(c_29036,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29027,c_3369]) ).
tcf(c_29037,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2580]) ).
tcf(c_29038,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2520]) ).
tcf(c_29039,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2519]) ).
tcf(c_29040,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2518]) ).
tcf(c_29041,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2473]) ).
tcf(c_29042,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2472]) ).
tcf(c_29043,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2471]) ).
tcf(c_29044,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2452]) ).
tcf(c_29045,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2451]) ).
tcf(c_29046,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2450]) ).
tcf(c_29047,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2425]) ).
tcf(c_29048,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2424]) ).
tcf(c_29049,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2423]) ).
tcf(c_29050,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29027,c_2380]) ).
tcf(c_29051,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29027,c_2372]) ).
tcf(c_29052,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1197]) ).
tcf(c_29053,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1199]) ).
tcf(c_29054,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1198]) ).
tcf(c_29055,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1203]) ).
tcf(c_29056,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1201]) ).
tcf(c_29057,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2367]) ).
tcf(c_29058,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1196]) ).
tcf(c_29059,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1195]) ).
tcf(c_29060,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29027,c_1194]) ).
tcf(c_29061,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29027,c_1206]) ).
tcf(c_29062,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)),sdtasdt0(smndt0(smndt0(xN)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_29027,c_1205]) ).
tcf(c_29063,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(smndt0(xN)),xR),
inference(superposition,[status(thm)],[c_29027,c_1204]) ).
tcf(c_30482,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(global_subsumption_just,[status(thm)],[c_28336,c_9418,c_28336]) ).
tcf(c_30485,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_8901,c_30482]) ).
tcf(c_30486,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_8026,c_30482]) ).
tcf(c_30488,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2551]) ).
tcf(c_30489,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2550]) ).
tcf(c_30490,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_30482,c_3408]) ).
tcf(c_30491,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30482,c_3369]) ).
tcf(c_30492,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2580]) ).
tcf(c_30493,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2520]) ).
tcf(c_30494,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2519]) ).
tcf(c_30495,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2518]) ).
tcf(c_30496,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2473]) ).
tcf(c_30497,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2472]) ).
tcf(c_30498,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2471]) ).
tcf(c_30499,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2452]) ).
tcf(c_30500,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2451]) ).
tcf(c_30501,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2450]) ).
tcf(c_30502,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2425]) ).
tcf(c_30503,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2424]) ).
tcf(c_30504,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2423]) ).
tcf(c_30505,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30482,c_2380]) ).
tcf(c_30506,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30482,c_2372]) ).
tcf(c_30507,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1197]) ).
tcf(c_30508,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1199]) ).
tcf(c_30509,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1198]) ).
tcf(c_30510,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1203]) ).
tcf(c_30511,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1201]) ).
tcf(c_30512,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2367]) ).
tcf(c_30513,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1196]) ).
tcf(c_30514,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1195]) ).
tcf(c_30515,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30482,c_1194]) ).
tcf(c_30516,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30482,c_1206]) ).
tcf(c_30517,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)),sdtasdt0(smndt0(smndt0(xN)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_30482,c_1205]) ).
tcf(c_30518,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(smndt0(xN)),xS),
inference(superposition,[status(thm)],[c_30482,c_1204]) ).
tcf(c_31662,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(global_subsumption_just,[status(thm)],[c_28619,c_9425,c_28619]) ).
tcf(c_31665,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_8901,c_31662]) ).
tcf(c_31666,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_8026,c_31662]) ).
tcf(c_31668,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2551]) ).
tcf(c_31669,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2550]) ).
tcf(c_31670,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_31662,c_3408]) ).
tcf(c_31671,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31662,c_3369]) ).
tcf(c_31672,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2580]) ).
tcf(c_31673,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2520]) ).
tcf(c_31674,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2519]) ).
tcf(c_31675,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2518]) ).
tcf(c_31676,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2473]) ).
tcf(c_31677,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2472]) ).
tcf(c_31678,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2471]) ).
tcf(c_31679,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2452]) ).
tcf(c_31680,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2451]) ).
tcf(c_31681,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2450]) ).
tcf(c_31682,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2425]) ).
tcf(c_31683,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2424]) ).
tcf(c_31684,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2423]) ).
tcf(c_31685,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31662,c_2380]) ).
tcf(c_31686,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31662,c_2372]) ).
tcf(c_31687,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1197]) ).
tcf(c_31688,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1199]) ).
tcf(c_31689,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1198]) ).
tcf(c_31690,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1203]) ).
tcf(c_31691,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1201]) ).
tcf(c_31692,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2367]) ).
tcf(c_31693,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1196]) ).
tcf(c_31694,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1195]) ).
tcf(c_31695,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31662,c_1194]) ).
tcf(c_31696,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31662,c_1206]) ).
tcf(c_31697,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)),sdtasdt0(smndt0(smndt0(xN)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_31662,c_1205]) ).
tcf(c_31698,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(smndt0(xN)),xN),
inference(superposition,[status(thm)],[c_31662,c_1204]) ).
tcf(c_32863,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(sdtasdt0(xS,xR),xR),
inference(superposition,[status(thm)],[c_8901,c_29063]) ).
tcf(c_32864,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(sdtasdt0(xR,xS),xR),
inference(superposition,[status(thm)],[c_8026,c_29063]) ).
tcf(c_33247,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2551]) ).
tcf(c_33248,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2550]) ).
tcf(c_33249,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_29030,c_3408]) ).
tcf(c_33250,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29030,c_3369]) ).
tcf(c_33251,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2580]) ).
tcf(c_33252,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2520]) ).
tcf(c_33253,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2519]) ).
tcf(c_33254,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2518]) ).
tcf(c_33255,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2473]) ).
tcf(c_33256,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2472]) ).
tcf(c_33257,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2471]) ).
tcf(c_33258,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2452]) ).
tcf(c_33259,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2451]) ).
tcf(c_33260,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2450]) ).
tcf(c_33261,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2425]) ).
tcf(c_33262,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2424]) ).
tcf(c_33263,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2423]) ).
tcf(c_33264,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29030,c_2380]) ).
tcf(c_33265,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29030,c_2372]) ).
tcf(c_33266,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1197]) ).
tcf(c_33267,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1199]) ).
tcf(c_33268,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1198]) ).
tcf(c_33269,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1203]) ).
tcf(c_33270,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1201]) ).
tcf(c_33271,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2367]) ).
tcf(c_33272,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1196]) ).
tcf(c_33273,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1195]) ).
tcf(c_33274,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29030,c_1194]) ).
tcf(c_33275,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29030,c_1206]) ).
tcf(c_33276,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)),sdtasdt0(sdtasdt0(xS,xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_29030,c_1205]) ).
tcf(c_34192,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2551]) ).
tcf(c_34193,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2550]) ).
tcf(c_34194,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_29031,c_3408]) ).
tcf(c_34195,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29031,c_3369]) ).
tcf(c_34196,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2580]) ).
tcf(c_34197,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2520]) ).
tcf(c_34198,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2519]) ).
tcf(c_34199,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2518]) ).
tcf(c_34200,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2473]) ).
tcf(c_34201,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2472]) ).
tcf(c_34202,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2471]) ).
tcf(c_34203,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2452]) ).
tcf(c_34204,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2451]) ).
tcf(c_34205,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2450]) ).
tcf(c_34206,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2425]) ).
tcf(c_34207,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2424]) ).
tcf(c_34208,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2423]) ).
tcf(c_34209,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_29031,c_2380]) ).
tcf(c_34210,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29031,c_2372]) ).
tcf(c_34211,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1197]) ).
tcf(c_34212,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1199]) ).
tcf(c_34213,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1198]) ).
tcf(c_34214,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1203]) ).
tcf(c_34215,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1201]) ).
tcf(c_34216,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2367]) ).
tcf(c_34217,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1196]) ).
tcf(c_34218,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1195]) ).
tcf(c_34219,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_29031,c_1194]) ).
tcf(c_34220,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_29031,c_1206]) ).
tcf(c_34221,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)),sdtasdt0(sdtasdt0(xR,xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_29031,c_1205]) ).
tcf(c_34277,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2551]) ).
tcf(c_34278,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2550]) ).
tcf(c_34279,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_30485,c_3408]) ).
tcf(c_34280,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30485,c_3369]) ).
tcf(c_34281,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2580]) ).
tcf(c_34282,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2520]) ).
tcf(c_34283,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2519]) ).
tcf(c_34284,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2518]) ).
tcf(c_34285,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2473]) ).
tcf(c_34286,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2472]) ).
tcf(c_34287,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2471]) ).
tcf(c_34288,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2452]) ).
tcf(c_34289,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2451]) ).
tcf(c_34290,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2450]) ).
tcf(c_34291,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2425]) ).
tcf(c_34292,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2424]) ).
tcf(c_34293,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2423]) ).
tcf(c_34294,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30485,c_2380]) ).
tcf(c_34295,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30485,c_2372]) ).
tcf(c_34296,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1197]) ).
tcf(c_34297,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1199]) ).
tcf(c_34298,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1198]) ).
tcf(c_34299,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1203]) ).
tcf(c_34300,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1201]) ).
tcf(c_34301,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2367]) ).
tcf(c_34302,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1196]) ).
tcf(c_34303,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1195]) ).
tcf(c_34304,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30485,c_1194]) ).
tcf(c_34305,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30485,c_1206]) ).
tcf(c_34306,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)),sdtasdt0(sdtasdt0(xS,xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_30485,c_1205]) ).
tcf(c_34307,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(sdtasdt0(xS,xR),xS),
inference(superposition,[status(thm)],[c_30485,c_1204]) ).
tcf(c_34319,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2551]) ).
tcf(c_34320,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2550]) ).
tcf(c_34321,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_30486,c_3408]) ).
tcf(c_34322,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30486,c_3369]) ).
tcf(c_34323,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2580]) ).
tcf(c_34324,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2520]) ).
tcf(c_34325,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2519]) ).
tcf(c_34326,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2518]) ).
tcf(c_34327,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2473]) ).
tcf(c_34328,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2472]) ).
tcf(c_34329,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2471]) ).
tcf(c_34330,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2452]) ).
tcf(c_34331,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2451]) ).
tcf(c_34332,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2450]) ).
tcf(c_34333,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2425]) ).
tcf(c_34334,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2424]) ).
tcf(c_34335,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2423]) ).
tcf(c_34336,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_30486,c_2380]) ).
tcf(c_34337,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30486,c_2372]) ).
tcf(c_34338,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1197]) ).
tcf(c_34339,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1199]) ).
tcf(c_34340,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1198]) ).
tcf(c_34341,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1203]) ).
tcf(c_34342,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1201]) ).
tcf(c_34343,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2367]) ).
tcf(c_34344,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1196]) ).
tcf(c_34345,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1195]) ).
tcf(c_34346,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_30486,c_1194]) ).
tcf(c_34347,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_30486,c_1206]) ).
tcf(c_34348,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)),sdtasdt0(sdtasdt0(xR,xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_30486,c_1205]) ).
tcf(c_34349,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(sdtasdt0(xR,xS),xS),
inference(superposition,[status(thm)],[c_30486,c_1204]) ).
tcf(c_34616,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2551]) ).
tcf(c_34617,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2550]) ).
tcf(c_34618,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_31665,c_3408]) ).
tcf(c_34619,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31665,c_3369]) ).
tcf(c_34620,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2580]) ).
tcf(c_34621,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2520]) ).
tcf(c_34622,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2519]) ).
tcf(c_34623,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2518]) ).
tcf(c_34624,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2473]) ).
tcf(c_34625,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2472]) ).
tcf(c_34626,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2471]) ).
tcf(c_34627,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2452]) ).
tcf(c_34628,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2451]) ).
tcf(c_34629,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2450]) ).
tcf(c_34630,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2425]) ).
tcf(c_34631,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2424]) ).
tcf(c_34632,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2423]) ).
tcf(c_34633,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31665,c_2380]) ).
tcf(c_34634,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31665,c_2372]) ).
tcf(c_34635,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1197]) ).
tcf(c_34636,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1199]) ).
tcf(c_34637,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1198]) ).
tcf(c_34638,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1203]) ).
tcf(c_34639,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1201]) ).
tcf(c_34640,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2367]) ).
tcf(c_34641,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1196]) ).
tcf(c_34642,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1195]) ).
tcf(c_34643,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31665,c_1194]) ).
tcf(c_34644,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31665,c_1206]) ).
tcf(c_34645,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)),sdtasdt0(sdtasdt0(xS,xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_31665,c_1205]) ).
tcf(c_34646,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(sdtasdt0(xS,xR),xN),
inference(superposition,[status(thm)],[c_31665,c_1204]) ).
tcf(c_34658,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2551]) ).
tcf(c_34659,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2550]) ).
tcf(c_34660,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_31666,c_3408]) ).
tcf(c_34661,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31666,c_3369]) ).
tcf(c_34662,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2580]) ).
tcf(c_34663,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2520]) ).
tcf(c_34664,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2519]) ).
tcf(c_34665,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2518]) ).
tcf(c_34666,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2473]) ).
tcf(c_34667,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2472]) ).
tcf(c_34668,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2471]) ).
tcf(c_34669,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2452]) ).
tcf(c_34670,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2451]) ).
tcf(c_34671,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2450]) ).
tcf(c_34672,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2425]) ).
tcf(c_34673,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2424]) ).
tcf(c_34674,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2423]) ).
tcf(c_34675,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_31666,c_2380]) ).
tcf(c_34676,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31666,c_2372]) ).
tcf(c_34677,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1197]) ).
tcf(c_34678,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1199]) ).
tcf(c_34679,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1198]) ).
tcf(c_34680,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1203]) ).
tcf(c_34681,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1201]) ).
tcf(c_34682,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2367]) ).
tcf(c_34683,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1196]) ).
tcf(c_34684,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1195]) ).
tcf(c_34685,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_31666,c_1194]) ).
tcf(c_34686,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_31666,c_1206]) ).
tcf(c_34687,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)),sdtasdt0(sdtasdt0(xR,xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_31666,c_1205]) ).
tcf(c_34688,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(sdtasdt0(xR,xS),xN),
inference(superposition,[status(thm)],[c_31666,c_1204]) ).
tcf(c_34706,plain,
sdtasdt0(xN,smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_26984,c_19244]) ).
tcf(c_34714,plain,
sdtasdt0(xN,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_26990,c_19669]) ).
tcf(c_34720,plain,
sdtasdt0(xN,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_26991,c_19550]) ).
tcf(c_34730,plain,
sdtasdt0(xN,smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_26992,c_19317]) ).
tcf(c_34737,plain,
sdtasdt0(smndt0(smndt0(xN)),xR) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_27001,c_27004]) ).
tcf(c_34739,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xR))),sdtasdt0(smndt0(xN),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_27001,c_9297]) ).
tcf(c_34740,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xR),sdtasdt0(xN,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_27001,c_9296]) ).
tcf(c_34765,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = smndt0(sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6399,c_27003]) ).
tcf(c_34767,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))
| ~ aScalar0(sdtasdt0(smndt0(xN),sz0z00)) ),
inference(superposition,[status(thm)],[c_27003,c_1211]) ).
tcf(c_34768,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_27003,c_26957]) ).
tcf(c_34769,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_27003,c_26943]) ).
tcf(c_34770,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_27003,c_26365]) ).
tcf(c_34771,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_27003,c_10184]) ).
tcf(c_34772,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_27003,c_10183]) ).
tcf(c_34773,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_27003,c_22236]) ).
tcf(c_34774,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_27003,c_10158]) ).
tcf(c_34775,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_27003,c_10161]) ).
tcf(c_34776,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_8901,c_34775]) ).
tcf(c_34777,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(xN,sz0z00),
inference(superposition,[status(thm)],[c_8026,c_34775]) ).
tcf(c_34783,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_8901,c_34768]) ).
tcf(c_34784,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = smndt0(sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_8026,c_34768]) ).
tcf(c_34790,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8901,c_34769]) ).
tcf(c_34791,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8026,c_34769]) ).
tcf(c_34814,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8901,c_34773]) ).
tcf(c_34815,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8026,c_34773]) ).
tcf(c_34851,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_34767,c_10156,c_34767]) ).
tcf(c_34857,plain,
aScalar0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_8901,c_34851]) ).
tcf(c_34858,plain,
aScalar0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_8026,c_34851]) ).
tcf(c_34860,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2551]) ).
tcf(c_34861,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2550]) ).
tcf(c_34862,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_34851,c_3408]) ).
tcf(c_34863,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34851,c_3369]) ).
tcf(c_34864,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2580]) ).
tcf(c_34865,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2520]) ).
tcf(c_34866,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2519]) ).
tcf(c_34867,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2518]) ).
tcf(c_34868,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2473]) ).
tcf(c_34869,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2472]) ).
tcf(c_34870,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2471]) ).
tcf(c_34871,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2452]) ).
tcf(c_34872,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2451]) ).
tcf(c_34873,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2450]) ).
tcf(c_34874,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2425]) ).
tcf(c_34875,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2424]) ).
tcf(c_34876,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2423]) ).
tcf(c_34877,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34851,c_2380]) ).
tcf(c_34878,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34851,c_2372]) ).
tcf(c_34879,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1197]) ).
tcf(c_34880,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1199]) ).
tcf(c_34881,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1198]) ).
tcf(c_34882,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1203]) ).
tcf(c_34883,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1201]) ).
tcf(c_34884,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2367]) ).
tcf(c_34885,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1196]) ).
tcf(c_34886,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1195]) ).
tcf(c_34887,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34851,c_1194]) ).
tcf(c_34888,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34851,c_1206]) ).
tcf(c_34889,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34851,c_1205]) ).
tcf(c_34890,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(smndt0(xN)),sz0z00),
inference(superposition,[status(thm)],[c_34851,c_1204]) ).
tcf(c_35094,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(sdtasdt0(xS,xR),sz0z00),
inference(superposition,[status(thm)],[c_8901,c_34890]) ).
tcf(c_35095,plain,
smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(sdtasdt0(xR,xS),sz0z00),
inference(superposition,[status(thm)],[c_8026,c_34890]) ).
tcf(c_35103,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2551]) ).
tcf(c_35104,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2550]) ).
tcf(c_35105,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_34857,c_3408]) ).
tcf(c_35106,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34857,c_3369]) ).
tcf(c_35107,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2580]) ).
tcf(c_35108,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2520]) ).
tcf(c_35109,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2519]) ).
tcf(c_35110,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2518]) ).
tcf(c_35111,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2473]) ).
tcf(c_35112,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2472]) ).
tcf(c_35113,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2471]) ).
tcf(c_35114,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2452]) ).
tcf(c_35115,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2451]) ).
tcf(c_35116,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2450]) ).
tcf(c_35117,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2425]) ).
tcf(c_35118,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2424]) ).
tcf(c_35119,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2423]) ).
tcf(c_35120,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34857,c_2380]) ).
tcf(c_35121,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34857,c_2372]) ).
tcf(c_35122,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1197]) ).
tcf(c_35123,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1199]) ).
tcf(c_35124,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1198]) ).
tcf(c_35125,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1203]) ).
tcf(c_35126,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1201]) ).
tcf(c_35127,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2367]) ).
tcf(c_35128,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1196]) ).
tcf(c_35129,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1195]) ).
tcf(c_35130,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34857,c_1194]) ).
tcf(c_35131,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34857,c_1206]) ).
tcf(c_35132,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34857,c_1205]) ).
tcf(c_35576,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2551]) ).
tcf(c_35577,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2550]) ).
tcf(c_35578,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_34858,c_3408]) ).
tcf(c_35579,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34858,c_3369]) ).
tcf(c_35580,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))))) = smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2580]) ).
tcf(c_35581,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2520]) ).
tcf(c_35582,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2519]) ).
tcf(c_35583,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2518]) ).
tcf(c_35584,plain,
sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2473]) ).
tcf(c_35585,plain,
sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2472]) ).
tcf(c_35586,plain,
sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2471]) ).
tcf(c_35587,plain,
sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2452]) ).
tcf(c_35588,plain,
sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2451]) ).
tcf(c_35589,plain,
sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2450]) ).
tcf(c_35590,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(xN,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2425]) ).
tcf(c_35591,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(xS,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2424]) ).
tcf(c_35592,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(xR,sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2423]) ).
tcf(c_35593,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_34858,c_2380]) ).
tcf(c_35594,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34858,c_2372]) ).
tcf(c_35595,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1197]) ).
tcf(c_35596,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1199]) ).
tcf(c_35597,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1198]) ).
tcf(c_35598,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1203]) ).
tcf(c_35599,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1201]) ).
tcf(c_35600,plain,
smndt0(smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2367]) ).
tcf(c_35601,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1196]) ).
tcf(c_35602,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1195]) ).
tcf(c_35603,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_34858,c_1194]) ).
tcf(c_35604,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34858,c_1206]) ).
tcf(c_35605,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34858,c_1205]) ).
tcf(c_35675,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xR),sdtasdt0(xN,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_28091,c_6706]) ).
tcf(c_35676,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_28091,c_6705]) ).
tcf(c_35680,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_28091,c_6707]) ).
tcf(c_35682,plain,
sdtasdt0(sdtasdt0(xS,xR),xR) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_8901,c_28093]) ).
tcf(c_35683,plain,
sdtasdt0(sdtasdt0(xR,xS),xR) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_8026,c_28093]) ).
tcf(c_35691,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8901,c_28096]) ).
tcf(c_35692,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8026,c_28096]) ).
tcf(c_35700,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_28335,c_6886]) ).
tcf(c_35701,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_28335,c_6885]) ).
tcf(c_35702,plain,
sdtasdt0(smndt0(smndt0(xN)),xS) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_28335,c_10489]) ).
tcf(c_35705,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_28335,c_6887]) ).
tcf(c_35707,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_8901,c_28337]) ).
tcf(c_35708,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_8026,c_28337]) ).
tcf(c_35716,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8901,c_28340]) ).
tcf(c_35717,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8026,c_28340]) ).
tcf(c_36065,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_28618,c_25913]) ).
tcf(c_36066,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_28618,c_25909]) ).
tcf(c_36067,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_28618,c_6920]) ).
tcf(c_36068,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(smndt0(smndt0(xN)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_28618,c_6919]) ).
tcf(c_36069,plain,
sdtasdt0(smndt0(smndt0(xN)),xN) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_28618,c_10490]) ).
tcf(c_36072,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_28618,c_6921]) ).
tcf(c_36074,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_28620]) ).
tcf(c_36075,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_28620]) ).
tcf(c_36083,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8901,c_28623]) ).
tcf(c_36084,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8026,c_28623]) ).
tcf(c_36088,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2552]) ).
tcf(c_36089,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_1147,c_2552]) ).
tcf(c_36090,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_1143,c_2552]) ).
tcf(c_36091,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_1141,c_2552]) ).
tcf(c_36092,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2552]) ).
tcf(c_36093,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2552]) ).
tcf(c_36094,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(smndt0(xN),smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2552]) ).
tcf(c_36095,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2552]) ).
tcf(c_36096,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2552]) ).
tcf(c_36097,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(xN),smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2552]) ).
tcf(c_36098,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(xN),smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2552]) ).
tcf(c_36099,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(xN),smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2552]) ).
tcf(c_36100,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2552]) ).
tcf(c_36102,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2552]) ).
tcf(c_36103,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2552]) ).
tcf(c_36104,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2552]) ).
tcf(c_36105,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2552]) ).
tcf(c_36106,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xN),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2552]) ).
tcf(c_36107,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2552]) ).
tcf(c_36108,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2552]) ).
tcf(c_36109,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2552]) ).
tcf(c_36110,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2552]) ).
tcf(c_36111,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2552]) ).
tcf(c_36112,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2552]) ).
tcf(c_36113,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2552]) ).
tcf(c_36114,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2552]) ).
tcf(c_36115,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2552]) ).
tcf(c_36116,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2552]) ).
tcf(c_36117,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2552]) ).
tcf(c_36118,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2552]) ).
tcf(c_36119,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2552]) ).
tcf(c_36120,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2552]) ).
tcf(c_36121,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2552]) ).
tcf(c_36122,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2552]) ).
tcf(c_36123,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2552]) ).
tcf(c_36124,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2552]) ).
tcf(c_36125,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2552]) ).
tcf(c_36126,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2552]) ).
tcf(c_36127,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2552]) ).
tcf(c_36128,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2552]) ).
tcf(c_36129,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2552]) ).
tcf(c_36130,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2552]) ).
tcf(c_36131,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2552]) ).
tcf(c_36132,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2552]) ).
tcf(c_36133,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2552]) ).
tcf(c_36134,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2552]) ).
tcf(c_36135,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2552]) ).
tcf(c_36136,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2552]) ).
tcf(c_36137,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2552]) ).
tcf(c_36138,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2552]) ).
tcf(c_36139,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2552]) ).
tcf(c_36140,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2552]) ).
tcf(c_36141,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2552]) ).
tcf(c_36142,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2552]) ).
tcf(c_36143,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2552]) ).
tcf(c_36144,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2552]) ).
tcf(c_36145,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2552]) ).
tcf(c_36146,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2552]) ).
tcf(c_36147,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2552]) ).
tcf(c_36148,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2552]) ).
tcf(c_36149,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2552]) ).
tcf(c_36150,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2552]) ).
tcf(c_36151,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2552]) ).
tcf(c_36152,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2552]) ).
tcf(c_36153,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2552]) ).
tcf(c_36154,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2552]) ).
tcf(c_36155,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2552]) ).
tcf(c_36156,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2552]) ).
tcf(c_36157,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2552]) ).
tcf(c_36158,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2552]) ).
tcf(c_36160,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2552]) ).
tcf(c_36161,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2552]) ).
tcf(c_36163,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2552]) ).
tcf(c_36164,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2552]) ).
tcf(c_36166,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2552]) ).
tcf(c_36167,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2552]) ).
tcf(c_36168,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2552]) ).
tcf(c_36169,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2552]) ).
tcf(c_36171,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2552]) ).
tcf(c_36173,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2552]) ).
tcf(c_36175,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2552]) ).
tcf(c_36176,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2552]) ).
tcf(c_36177,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2552]) ).
tcf(c_36178,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2552]) ).
tcf(c_36179,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2552]) ).
tcf(c_36180,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2552]) ).
tcf(c_36181,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2552]) ).
tcf(c_36182,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2552]) ).
tcf(c_36183,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2552]) ).
tcf(c_36184,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2552]) ).
tcf(c_36185,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2552]) ).
tcf(c_36186,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2552]) ).
tcf(c_36187,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2552]) ).
tcf(c_36188,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2552]) ).
tcf(c_36189,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2552]) ).
tcf(c_36190,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2552]) ).
tcf(c_36191,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2552]) ).
tcf(c_36192,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2552]) ).
tcf(c_36193,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2552]) ).
tcf(c_36194,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2552]) ).
tcf(c_36195,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2552]) ).
tcf(c_36196,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2552]) ).
tcf(c_36197,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2552]) ).
tcf(c_36198,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2552]) ).
tcf(c_36199,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2552]) ).
tcf(c_36200,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2552]) ).
tcf(c_36201,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2552]) ).
tcf(c_36202,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2552]) ).
tcf(c_36203,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2552]) ).
tcf(c_36204,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2552]) ).
tcf(c_36205,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2552]) ).
tcf(c_36206,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2552]) ).
tcf(c_36207,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2552]) ).
tcf(c_36208,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2552]) ).
tcf(c_36209,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2552]) ).
tcf(c_36210,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2552]) ).
tcf(c_36211,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2552]) ).
tcf(c_36212,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2552]) ).
tcf(c_36213,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2552]) ).
tcf(c_36214,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2552]) ).
tcf(c_36215,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2552]) ).
tcf(c_36216,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2552]) ).
tcf(c_36217,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2552]) ).
tcf(c_36218,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2552]) ).
tcf(c_36219,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2552]) ).
tcf(c_36220,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2552]) ).
tcf(c_36221,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2552]) ).
tcf(c_36222,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2552]) ).
tcf(c_36223,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2552]) ).
tcf(c_36224,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2552]) ).
tcf(c_36225,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2552]) ).
tcf(c_36226,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2552]) ).
tcf(c_36227,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2552]) ).
tcf(c_36228,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2552]) ).
tcf(c_36229,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2552]) ).
tcf(c_36674,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8901,c_36089]) ).
tcf(c_36675,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(xR)) = sdtasdt0(smndt0(xN),xR),
inference(superposition,[status(thm)],[c_8026,c_36089]) ).
tcf(c_36700,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8901,c_36090]) ).
tcf(c_36701,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(xS)) = sdtasdt0(smndt0(xN),xS),
inference(superposition,[status(thm)],[c_8026,c_36090]) ).
tcf(c_36704,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8901,c_36091]) ).
tcf(c_36705,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(xN)) = sdtasdt0(smndt0(xN),xN),
inference(superposition,[status(thm)],[c_8026,c_36091]) ).
tcf(c_36717,plain,
sdtasdt0(smndt0(smndt0(xN)),sz0z00) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_29013,c_27003]) ).
tcf(c_36721,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))),sdtasdt0(smndt0(xN),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_29013,c_10184]) ).
tcf(c_36722,plain,
sdtpldt0(sdtasdt0(smndt0(xN),sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_29013,c_10183]) ).
tcf(c_36733,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xS))),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_34706,c_9847]) ).
tcf(c_36734,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(xN,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_34706,c_9846]) ).
tcf(c_36776,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xR,xS)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_34714,c_10000]) ).
tcf(c_36777,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_34714,c_9999]) ).
tcf(c_36789,plain,
sdtpldt0(sdtasdt0(xN,sdtasdt0(xS,xR)),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_34720,c_10000]) ).
tcf(c_36790,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_34720,c_9999]) ).
tcf(c_36804,plain,
sdtpldt0(sdtasdt0(xN,smndt0(smndt0(xN))),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_34730,c_10000]) ).
tcf(c_36805,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(xN,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_34730,c_9999]) ).
tcf(c_36810,plain,
sdtasdt0(sdtasdt0(xS,xR),xR) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_8901,c_34737]) ).
tcf(c_36811,plain,
sdtasdt0(sdtasdt0(xR,xS),xR) = sdtasdt0(xN,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_8026,c_34737]) ).
tcf(c_36831,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00),sdtasdt0(xN,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_34765,c_6601]) ).
tcf(c_36832,plain,
sdtpldt0(sdtasdt0(xN,smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_34765,c_6600]) ).
tcf(c_36836,plain,
smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_34765,c_6602]) ).
tcf(c_36859,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8901,c_34770]) ).
tcf(c_36860,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(smndt0(xN),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8026,c_34770]) ).
tcf(c_36874,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8901,c_34774]) ).
tcf(c_36875,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8026,c_34774]) ).
tcf(c_37099,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_8901,c_35680]) ).
tcf(c_37100,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)) = sdtasdt0(xN,smndt0(xR)),
inference(superposition,[status(thm)],[c_8026,c_35680]) ).
tcf(c_37116,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2829]) ).
tcf(c_37117,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xR)) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_1147,c_2829]) ).
tcf(c_37118,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xS)) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_1143,c_2829]) ).
tcf(c_37119,plain,
sdtasdt0(smndt0(sz0z00),smndt0(xN)) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_1141,c_2829]) ).
tcf(c_37120,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2829]) ).
tcf(c_37121,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2829]) ).
tcf(c_37122,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2829]) ).
tcf(c_37123,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2829]) ).
tcf(c_37124,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2829]) ).
tcf(c_37125,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2829]) ).
tcf(c_37126,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2829]) ).
tcf(c_37127,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2829]) ).
tcf(c_37128,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2829]) ).
tcf(c_37130,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2829]) ).
tcf(c_37131,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2829]) ).
tcf(c_37132,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2829]) ).
tcf(c_37133,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2829]) ).
tcf(c_37134,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2829]) ).
tcf(c_37135,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2829]) ).
tcf(c_37136,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2829]) ).
tcf(c_37137,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2829]) ).
tcf(c_37138,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2829]) ).
tcf(c_37139,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2829]) ).
tcf(c_37140,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2829]) ).
tcf(c_37141,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2829]) ).
tcf(c_37142,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2829]) ).
tcf(c_37143,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2829]) ).
tcf(c_37144,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2829]) ).
tcf(c_37145,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2829]) ).
tcf(c_37146,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2829]) ).
tcf(c_37147,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2829]) ).
tcf(c_37148,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2829]) ).
tcf(c_37149,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2829]) ).
tcf(c_37150,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2829]) ).
tcf(c_37151,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2829]) ).
tcf(c_37152,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2829]) ).
tcf(c_37153,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2829]) ).
tcf(c_37154,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2829]) ).
tcf(c_37155,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2829]) ).
tcf(c_37156,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2829]) ).
tcf(c_37157,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2829]) ).
tcf(c_37158,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2829]) ).
tcf(c_37159,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2829]) ).
tcf(c_37160,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2829]) ).
tcf(c_37161,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2829]) ).
tcf(c_37162,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2829]) ).
tcf(c_37163,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2829]) ).
tcf(c_37164,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2829]) ).
tcf(c_37165,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2829]) ).
tcf(c_37166,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2829]) ).
tcf(c_37167,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2829]) ).
tcf(c_37168,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2829]) ).
tcf(c_37169,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2829]) ).
tcf(c_37170,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2829]) ).
tcf(c_37171,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2829]) ).
tcf(c_37172,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2829]) ).
tcf(c_37173,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2829]) ).
tcf(c_37174,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2829]) ).
tcf(c_37175,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2829]) ).
tcf(c_37176,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2829]) ).
tcf(c_37177,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2829]) ).
tcf(c_37178,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2829]) ).
tcf(c_37179,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2829]) ).
tcf(c_37180,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2829]) ).
tcf(c_37181,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2829]) ).
tcf(c_37182,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2829]) ).
tcf(c_37183,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2829]) ).
tcf(c_37184,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2829]) ).
tcf(c_37185,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2829]) ).
tcf(c_37186,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2829]) ).
tcf(c_37188,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2829]) ).
tcf(c_37189,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2829]) ).
tcf(c_37191,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2829]) ).
tcf(c_37192,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2829]) ).
tcf(c_37194,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2829]) ).
tcf(c_37195,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2829]) ).
tcf(c_37196,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2829]) ).
tcf(c_37197,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2829]) ).
tcf(c_37199,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2829]) ).
tcf(c_37201,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2829]) ).
tcf(c_37203,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2829]) ).
tcf(c_37204,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2829]) ).
tcf(c_37205,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2829]) ).
tcf(c_37206,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2829]) ).
tcf(c_37207,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2829]) ).
tcf(c_37208,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2829]) ).
tcf(c_37209,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2829]) ).
tcf(c_37210,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2829]) ).
tcf(c_37211,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2829]) ).
tcf(c_37212,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2829]) ).
tcf(c_37213,plain,
sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2829]) ).
tcf(c_37214,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2829]) ).
tcf(c_37215,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2829]) ).
tcf(c_37216,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2829]) ).
tcf(c_37217,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2829]) ).
tcf(c_37218,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2829]) ).
tcf(c_37219,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2829]) ).
tcf(c_37220,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2829]) ).
tcf(c_37221,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2829]) ).
tcf(c_37222,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2829]) ).
tcf(c_37223,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2829]) ).
tcf(c_37224,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2829]) ).
tcf(c_37225,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2829]) ).
tcf(c_37226,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2829]) ).
tcf(c_37227,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2829]) ).
tcf(c_37228,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2829]) ).
tcf(c_37229,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2829]) ).
tcf(c_37230,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2829]) ).
tcf(c_37231,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2829]) ).
tcf(c_37232,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2829]) ).
tcf(c_37233,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2829]) ).
tcf(c_37234,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2829]) ).
tcf(c_37235,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2829]) ).
tcf(c_37236,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2829]) ).
tcf(c_37237,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2829]) ).
tcf(c_37238,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2829]) ).
tcf(c_37239,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2829]) ).
tcf(c_37240,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2829]) ).
tcf(c_37241,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2829]) ).
tcf(c_37242,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2829]) ).
tcf(c_37243,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2829]) ).
tcf(c_37244,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2829]) ).
tcf(c_37245,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2829]) ).
tcf(c_37246,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2829]) ).
tcf(c_37247,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2829]) ).
tcf(c_37248,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2829]) ).
tcf(c_37249,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2829]) ).
tcf(c_37250,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2829]) ).
tcf(c_37251,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2829]) ).
tcf(c_37252,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2829]) ).
tcf(c_37253,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2829]) ).
tcf(c_37254,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2829]) ).
tcf(c_37255,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2829]) ).
tcf(c_37256,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2829]) ).
tcf(c_37257,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2829]) ).
tcf(c_37849,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_37117,c_20545]) ).
tcf(c_37850,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_37117,c_20544]) ).
tcf(c_37852,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_37117,c_20546]) ).
tcf(c_37860,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_37118,c_20625]) ).
tcf(c_37861,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_37118,c_20624]) ).
tcf(c_37863,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_37118,c_20626]) ).
tcf(c_37902,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_37119,c_20997]) ).
tcf(c_37903,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_37119,c_20996]) ).
tcf(c_37905,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_37119,c_20998]) ).
tcf(c_37918,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_8901,c_35702]) ).
tcf(c_37919,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(xN,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_8026,c_35702]) ).
tcf(c_37931,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_8901,c_35705]) ).
tcf(c_37932,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)) = sdtasdt0(xN,smndt0(xS)),
inference(superposition,[status(thm)],[c_8026,c_35705]) ).
tcf(c_37954,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_35716,c_34307]) ).
tcf(c_37960,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = smndt0(sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_35717,c_34349]) ).
tcf(c_37994,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_8901,c_36065]) ).
tcf(c_37995,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_8026,c_36065]) ).
tcf(c_38006,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8901,c_36066]) ).
tcf(c_38007,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_8026,c_36066]) ).
tcf(c_38036,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8901,c_36072]) ).
tcf(c_38037,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)) = sdtasdt0(xN,smndt0(xN)),
inference(superposition,[status(thm)],[c_8026,c_36072]) ).
tcf(c_38042,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2830]) ).
tcf(c_38043,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_1147,c_2830]) ).
tcf(c_38044,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_1143,c_2830]) ).
tcf(c_38045,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_1141,c_2830]) ).
tcf(c_38046,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2830]) ).
tcf(c_38047,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2830]) ).
tcf(c_38048,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2830]) ).
tcf(c_38049,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2830]) ).
tcf(c_38050,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2830]) ).
tcf(c_38051,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2830]) ).
tcf(c_38052,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2830]) ).
tcf(c_38053,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2830]) ).
tcf(c_38054,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2830]) ).
tcf(c_38056,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2830]) ).
tcf(c_38057,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2830]) ).
tcf(c_38058,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2830]) ).
tcf(c_38059,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2830]) ).
tcf(c_38060,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2830]) ).
tcf(c_38061,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2830]) ).
tcf(c_38062,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2830]) ).
tcf(c_38063,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2830]) ).
tcf(c_38064,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2830]) ).
tcf(c_38065,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2830]) ).
tcf(c_38066,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2830]) ).
tcf(c_38067,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2830]) ).
tcf(c_38068,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2830]) ).
tcf(c_38069,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2830]) ).
tcf(c_38070,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2830]) ).
tcf(c_38071,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2830]) ).
tcf(c_38072,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2830]) ).
tcf(c_38073,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2830]) ).
tcf(c_38074,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2830]) ).
tcf(c_38075,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2830]) ).
tcf(c_38076,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2830]) ).
tcf(c_38077,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2830]) ).
tcf(c_38078,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2830]) ).
tcf(c_38079,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2830]) ).
tcf(c_38080,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2830]) ).
tcf(c_38081,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2830]) ).
tcf(c_38082,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2830]) ).
tcf(c_38083,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2830]) ).
tcf(c_38084,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2830]) ).
tcf(c_38085,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2830]) ).
tcf(c_38086,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2830]) ).
tcf(c_38087,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2830]) ).
tcf(c_38088,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2830]) ).
tcf(c_38089,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2830]) ).
tcf(c_38090,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2830]) ).
tcf(c_38091,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2830]) ).
tcf(c_38092,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2830]) ).
tcf(c_38093,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2830]) ).
tcf(c_38094,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2830]) ).
tcf(c_38095,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2830]) ).
tcf(c_38096,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2830]) ).
tcf(c_38097,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2830]) ).
tcf(c_38098,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2830]) ).
tcf(c_38099,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2830]) ).
tcf(c_38100,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2830]) ).
tcf(c_38101,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2830]) ).
tcf(c_38102,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2830]) ).
tcf(c_38103,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2830]) ).
tcf(c_38104,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2830]) ).
tcf(c_38105,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2830]) ).
tcf(c_38106,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2830]) ).
tcf(c_38107,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2830]) ).
tcf(c_38108,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2830]) ).
tcf(c_38109,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2830]) ).
tcf(c_38110,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2830]) ).
tcf(c_38111,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2830]) ).
tcf(c_38112,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2830]) ).
tcf(c_38114,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2830]) ).
tcf(c_38115,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2830]) ).
tcf(c_38117,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2830]) ).
tcf(c_38118,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2830]) ).
tcf(c_38120,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2830]) ).
tcf(c_38121,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2830]) ).
tcf(c_38122,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2830]) ).
tcf(c_38123,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2830]) ).
tcf(c_38125,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2830]) ).
tcf(c_38127,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2830]) ).
tcf(c_38129,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2830]) ).
tcf(c_38130,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2830]) ).
tcf(c_38131,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2830]) ).
tcf(c_38132,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2830]) ).
tcf(c_38133,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2830]) ).
tcf(c_38134,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2830]) ).
tcf(c_38135,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2830]) ).
tcf(c_38136,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2830]) ).
tcf(c_38137,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2830]) ).
tcf(c_38138,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2830]) ).
tcf(c_38139,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2830]) ).
tcf(c_38140,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2830]) ).
tcf(c_38141,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2830]) ).
tcf(c_38142,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2830]) ).
tcf(c_38143,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2830]) ).
tcf(c_38144,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2830]) ).
tcf(c_38145,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2830]) ).
tcf(c_38146,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2830]) ).
tcf(c_38147,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2830]) ).
tcf(c_38148,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2830]) ).
tcf(c_38149,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2830]) ).
tcf(c_38150,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2830]) ).
tcf(c_38151,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2830]) ).
tcf(c_38152,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2830]) ).
tcf(c_38153,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2830]) ).
tcf(c_38154,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2830]) ).
tcf(c_38155,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2830]) ).
tcf(c_38156,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2830]) ).
tcf(c_38157,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2830]) ).
tcf(c_38158,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2830]) ).
tcf(c_38159,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2830]) ).
tcf(c_38160,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2830]) ).
tcf(c_38161,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2830]) ).
tcf(c_38162,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2830]) ).
tcf(c_38163,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2830]) ).
tcf(c_38164,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2830]) ).
tcf(c_38165,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2830]) ).
tcf(c_38166,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2830]) ).
tcf(c_38167,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2830]) ).
tcf(c_38168,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2830]) ).
tcf(c_38169,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2830]) ).
tcf(c_38170,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2830]) ).
tcf(c_38171,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2830]) ).
tcf(c_38172,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2830]) ).
tcf(c_38173,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2830]) ).
tcf(c_38174,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2830]) ).
tcf(c_38175,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2830]) ).
tcf(c_38176,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2830]) ).
tcf(c_38177,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2830]) ).
tcf(c_38178,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2830]) ).
tcf(c_38179,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2830]) ).
tcf(c_38180,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2830]) ).
tcf(c_38181,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2830]) ).
tcf(c_38182,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2830]) ).
tcf(c_38183,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2830]) ).
tcf(c_38830,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_13348,c_38043]) ).
tcf(c_38831,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = smndt0(sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_12412,c_38043]) ).
tcf(c_38833,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),xR)) ),
inference(superposition,[status(thm)],[c_38043,c_1211]) ).
tcf(c_38834,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(smndt0(sz0z00),smndt0(xR)),
inference(superposition,[status(thm)],[c_38043,c_37117]) ).
tcf(c_38835,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_38043,c_20545]) ).
tcf(c_38836,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_38043,c_20544]) ).
tcf(c_38837,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_38043,c_22920]) ).
tcf(c_38838,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_38043,c_20546]) ).
tcf(c_38839,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(sz0z00,xR),
inference(superposition,[status(thm)],[c_38043,c_13182]) ).
tcf(c_38876,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13380,c_38044]) ).
tcf(c_38877,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = smndt0(sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_12415,c_38044]) ).
tcf(c_38879,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),xS)) ),
inference(superposition,[status(thm)],[c_38044,c_1211]) ).
tcf(c_38880,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(smndt0(sz0z00),smndt0(xS)),
inference(superposition,[status(thm)],[c_38044,c_37118]) ).
tcf(c_38881,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38044,c_20625]) ).
tcf(c_38882,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38044,c_20624]) ).
tcf(c_38883,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_38044,c_22995]) ).
tcf(c_38884,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_38044,c_20626]) ).
tcf(c_38885,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(sz0z00,xS),
inference(superposition,[status(thm)],[c_38044,c_13331]) ).
tcf(c_39106,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13576,c_38045]) ).
tcf(c_39107,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = smndt0(sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_12418,c_38045]) ).
tcf(c_39109,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),xN)) ),
inference(superposition,[status(thm)],[c_38045,c_1211]) ).
tcf(c_39110,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(smndt0(sz0z00),smndt0(xN)),
inference(superposition,[status(thm)],[c_38045,c_37119]) ).
tcf(c_39111,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_38045,c_20997]) ).
tcf(c_39112,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_38045,c_20996]) ).
tcf(c_39113,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_38045,c_23121]) ).
tcf(c_39114,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_38045,c_20998]) ).
tcf(c_39115,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,xN),
inference(superposition,[status(thm)],[c_38045,c_13559]) ).
tcf(c_39282,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_36083,c_34646]) ).
tcf(c_39283,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(global_subsumption_just,[status(thm)],[c_38833,c_125,c_56,c_2872,c_12411,c_12872,c_38833]) ).
tcf(c_39290,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2830]) ).
tcf(c_39291,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2829]) ).
tcf(c_39292,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2552]) ).
tcf(c_39293,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2551]) ).
tcf(c_39294,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2550]) ).
tcf(c_39295,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_39283,c_3408]) ).
tcf(c_39296,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_39283,c_3369]) ).
tcf(c_39297,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2580]) ).
tcf(c_39298,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2520]) ).
tcf(c_39299,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2519]) ).
tcf(c_39300,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2518]) ).
tcf(c_39301,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2473]) ).
tcf(c_39302,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2472]) ).
tcf(c_39303,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2471]) ).
tcf(c_39304,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2452]) ).
tcf(c_39305,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2451]) ).
tcf(c_39306,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2450]) ).
tcf(c_39307,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2425]) ).
tcf(c_39308,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2424]) ).
tcf(c_39309,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2423]) ).
tcf(c_39310,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_39283,c_2380]) ).
tcf(c_39311,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_39283,c_2372]) ).
tcf(c_39312,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1197]) ).
tcf(c_39313,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1199]) ).
tcf(c_39314,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1198]) ).
tcf(c_39315,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1203]) ).
tcf(c_39316,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1201]) ).
tcf(c_39317,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2367]) ).
tcf(c_39318,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1196]) ).
tcf(c_39319,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1195]) ).
tcf(c_39320,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39283,c_1194]) ).
tcf(c_39321,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_39283,c_1206]) ).
tcf(c_39322,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_39283,c_1205]) ).
tcf(c_39323,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(smndt0(sz0z00)),xR),
inference(superposition,[status(thm)],[c_39283,c_1204]) ).
tcf(c_39452,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(global_subsumption_just,[status(thm)],[c_38879,c_129,c_56,c_2465,c_12414,c_12877,c_38879]) ).
tcf(c_39459,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2830]) ).
tcf(c_39460,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2829]) ).
tcf(c_39461,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2552]) ).
tcf(c_39462,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2551]) ).
tcf(c_39463,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2550]) ).
tcf(c_39464,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_39452,c_3408]) ).
tcf(c_39465,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_39452,c_3369]) ).
tcf(c_39466,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2580]) ).
tcf(c_39467,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2520]) ).
tcf(c_39468,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2519]) ).
tcf(c_39469,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2518]) ).
tcf(c_39470,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2473]) ).
tcf(c_39471,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2472]) ).
tcf(c_39472,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2471]) ).
tcf(c_39473,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2452]) ).
tcf(c_39474,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2451]) ).
tcf(c_39475,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2450]) ).
tcf(c_39476,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2425]) ).
tcf(c_39477,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2424]) ).
tcf(c_39478,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2423]) ).
tcf(c_39479,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_39452,c_2380]) ).
tcf(c_39480,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_39452,c_2372]) ).
tcf(c_39481,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1197]) ).
tcf(c_39482,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1199]) ).
tcf(c_39483,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1198]) ).
tcf(c_39484,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1203]) ).
tcf(c_39485,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1201]) ).
tcf(c_39486,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2367]) ).
tcf(c_39487,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1196]) ).
tcf(c_39488,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1195]) ).
tcf(c_39489,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39452,c_1194]) ).
tcf(c_39490,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_39452,c_1206]) ).
tcf(c_39491,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_39452,c_1205]) ).
tcf(c_39492,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(smndt0(sz0z00)),xS),
inference(superposition,[status(thm)],[c_39452,c_1204]) ).
tcf(c_39712,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(global_subsumption_just,[status(thm)],[c_39109,c_129,c_125,c_56,c_2383,c_2465,c_12417,c_12882,c_39109]) ).
tcf(c_39719,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2830]) ).
tcf(c_39720,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2829]) ).
tcf(c_39721,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2552]) ).
tcf(c_39722,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2551]) ).
tcf(c_39723,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2550]) ).
tcf(c_39724,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_39712,c_3408]) ).
tcf(c_39725,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_39712,c_3369]) ).
tcf(c_39726,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2580]) ).
tcf(c_39727,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2520]) ).
tcf(c_39728,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2519]) ).
tcf(c_39729,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2518]) ).
tcf(c_39730,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2473]) ).
tcf(c_39731,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2472]) ).
tcf(c_39732,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2471]) ).
tcf(c_39733,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2452]) ).
tcf(c_39734,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2451]) ).
tcf(c_39735,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2450]) ).
tcf(c_39736,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2425]) ).
tcf(c_39737,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2424]) ).
tcf(c_39738,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2423]) ).
tcf(c_39739,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_39712,c_2380]) ).
tcf(c_39740,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_39712,c_2372]) ).
tcf(c_39741,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1197]) ).
tcf(c_39742,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1199]) ).
tcf(c_39743,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1198]) ).
tcf(c_39744,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1203]) ).
tcf(c_39745,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1201]) ).
tcf(c_39746,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2367]) ).
tcf(c_39747,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1196]) ).
tcf(c_39748,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1195]) ).
tcf(c_39749,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_39712,c_1194]) ).
tcf(c_39750,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_39712,c_1206]) ).
tcf(c_39751,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39712,c_1205]) ).
tcf(c_39752,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(smndt0(sz0z00)),xN),
inference(superposition,[status(thm)],[c_39712,c_1204]) ).
tcf(c_40831,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = smndt0(sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_36084,c_34688]) ).
tcf(c_40832,plain,
sdtasdt0(sdtasdt0(xS,xR),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8901,c_36088]) ).
tcf(c_40833,plain,
sdtasdt0(sdtasdt0(xR,xS),smndt0(sz0z00)) = sdtasdt0(smndt0(xN),sz0z00),
inference(superposition,[status(thm)],[c_8026,c_36088]) ).
tcf(c_40857,plain,
sdtasdt0(sdtasdt0(xS,xR),sz0z00) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_8901,c_36717]) ).
tcf(c_40858,plain,
sdtasdt0(sdtasdt0(xR,xS),sz0z00) = sdtasdt0(xN,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_8026,c_36717]) ).
tcf(c_40893,plain,
smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8901,c_36836]) ).
tcf(c_40894,plain,
smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = sdtasdt0(xN,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_8026,c_36836]) ).
tcf(c_40911,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2831]) ).
tcf(c_40912,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_1147,c_2831]) ).
tcf(c_40913,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_1143,c_2831]) ).
tcf(c_40914,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_1141,c_2831]) ).
tcf(c_40915,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2831]) ).
tcf(c_40916,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2831]) ).
tcf(c_40917,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(smndt0(sz0z00),smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2831]) ).
tcf(c_40918,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2831]) ).
tcf(c_40919,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2831]) ).
tcf(c_40920,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(sz0z00),smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2831]) ).
tcf(c_40921,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(sz0z00),smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2831]) ).
tcf(c_40922,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(sz0z00),smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2831]) ).
tcf(c_40923,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2831]) ).
tcf(c_40925,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2831]) ).
tcf(c_40926,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2831]) ).
tcf(c_40927,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2831]) ).
tcf(c_40928,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2831]) ).
tcf(c_40929,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2831]) ).
tcf(c_40930,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2831]) ).
tcf(c_40931,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2831]) ).
tcf(c_40932,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2831]) ).
tcf(c_40933,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2831]) ).
tcf(c_40934,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2831]) ).
tcf(c_40935,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2831]) ).
tcf(c_40936,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2831]) ).
tcf(c_40937,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2831]) ).
tcf(c_40938,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2831]) ).
tcf(c_40939,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2831]) ).
tcf(c_40940,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2831]) ).
tcf(c_40941,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2831]) ).
tcf(c_40942,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2831]) ).
tcf(c_40943,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2831]) ).
tcf(c_40944,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2831]) ).
tcf(c_40945,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2831]) ).
tcf(c_40946,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2831]) ).
tcf(c_40947,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2831]) ).
tcf(c_40948,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2831]) ).
tcf(c_40949,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2831]) ).
tcf(c_40950,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2831]) ).
tcf(c_40951,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2831]) ).
tcf(c_40952,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2831]) ).
tcf(c_40953,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2831]) ).
tcf(c_40954,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2831]) ).
tcf(c_40955,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2831]) ).
tcf(c_40956,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2831]) ).
tcf(c_40957,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2831]) ).
tcf(c_40958,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2831]) ).
tcf(c_40959,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2831]) ).
tcf(c_40960,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2831]) ).
tcf(c_40961,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2831]) ).
tcf(c_40962,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2831]) ).
tcf(c_40963,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2831]) ).
tcf(c_40964,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2831]) ).
tcf(c_40965,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2831]) ).
tcf(c_40966,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2831]) ).
tcf(c_40967,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2831]) ).
tcf(c_40968,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2831]) ).
tcf(c_40969,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2831]) ).
tcf(c_40970,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2831]) ).
tcf(c_40971,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2831]) ).
tcf(c_40972,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2831]) ).
tcf(c_40973,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2831]) ).
tcf(c_40974,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2831]) ).
tcf(c_40975,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2831]) ).
tcf(c_40976,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2831]) ).
tcf(c_40977,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2831]) ).
tcf(c_40978,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2831]) ).
tcf(c_40979,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2831]) ).
tcf(c_40980,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2831]) ).
tcf(c_40981,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2831]) ).
tcf(c_40983,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2831]) ).
tcf(c_40984,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2831]) ).
tcf(c_40986,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2831]) ).
tcf(c_40987,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2831]) ).
tcf(c_40989,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2831]) ).
tcf(c_40990,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2831]) ).
tcf(c_40991,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2831]) ).
tcf(c_40992,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2831]) ).
tcf(c_40994,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2831]) ).
tcf(c_40996,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2831]) ).
tcf(c_40998,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2831]) ).
tcf(c_40999,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2831]) ).
tcf(c_41000,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2831]) ).
tcf(c_41001,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2831]) ).
tcf(c_41002,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2831]) ).
tcf(c_41003,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2831]) ).
tcf(c_41004,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2831]) ).
tcf(c_41005,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2831]) ).
tcf(c_41006,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2831]) ).
tcf(c_41007,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2831]) ).
tcf(c_41008,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2831]) ).
tcf(c_41009,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2831]) ).
tcf(c_41010,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2831]) ).
tcf(c_41011,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2831]) ).
tcf(c_41012,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2831]) ).
tcf(c_41013,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2831]) ).
tcf(c_41014,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2831]) ).
tcf(c_41015,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2831]) ).
tcf(c_41016,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2831]) ).
tcf(c_41017,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2831]) ).
tcf(c_41018,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2831]) ).
tcf(c_41019,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2831]) ).
tcf(c_41020,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2831]) ).
tcf(c_41021,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2831]) ).
tcf(c_41022,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2831]) ).
tcf(c_41023,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2831]) ).
tcf(c_41024,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2831]) ).
tcf(c_41025,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2831]) ).
tcf(c_41026,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2831]) ).
tcf(c_41027,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2831]) ).
tcf(c_41028,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2831]) ).
tcf(c_41029,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2831]) ).
tcf(c_41030,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2831]) ).
tcf(c_41031,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2831]) ).
tcf(c_41032,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2831]) ).
tcf(c_41033,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2831]) ).
tcf(c_41034,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2831]) ).
tcf(c_41035,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2831]) ).
tcf(c_41036,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2831]) ).
tcf(c_41037,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2831]) ).
tcf(c_41038,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2831]) ).
tcf(c_41039,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2831]) ).
tcf(c_41040,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2831]) ).
tcf(c_41041,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2831]) ).
tcf(c_41042,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2831]) ).
tcf(c_41043,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2831]) ).
tcf(c_41044,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2831]) ).
tcf(c_41045,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2831]) ).
tcf(c_41046,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2831]) ).
tcf(c_41047,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2831]) ).
tcf(c_41048,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2831]) ).
tcf(c_41049,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2831]) ).
tcf(c_41050,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2831]) ).
tcf(c_41051,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2831]) ).
tcf(c_41052,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2831]) ).
tcf(c_41053,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2831]) ).
tcf(c_41054,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2831]) ).
tcf(c_41055,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2831]) ).
tcf(c_42293,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_37116,c_12454]) ).
tcf(c_42294,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_37116,c_12453]) ).
tcf(c_42296,plain,
smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_37116,c_12455]) ).
tcf(c_42299,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_21174,c_37852]) ).
tcf(c_42300,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_22957,c_37852]) ).
tcf(c_42302,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_21172,c_37852]) ).
tcf(c_42316,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(smndt0(sz0z00),xR),
inference(superposition,[status(thm)],[c_42300,c_38043]) ).
tcf(c_42318,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_42300,c_20545]) ).
tcf(c_42328,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),smndt0(sdtasdt0(sz0z00,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_42302,c_12985]) ).
tcf(c_42329,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xR)),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_42302,c_12984]) ).
tcf(c_42331,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_42302,c_12991]) ).
tcf(c_42364,plain,
sdtasdt0(smndt0(xR),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2880]) ).
tcf(c_42365,plain,
sdtasdt0(smndt0(xR),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_1147,c_2880]) ).
tcf(c_42366,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_1143,c_2880]) ).
tcf(c_42367,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_1141,c_2880]) ).
tcf(c_42368,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2880]) ).
tcf(c_42369,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2880]) ).
tcf(c_42370,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xR),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2880]) ).
tcf(c_42371,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2880]) ).
tcf(c_42372,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2880]) ).
tcf(c_42373,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2880]) ).
tcf(c_42374,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2880]) ).
tcf(c_42375,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2880]) ).
tcf(c_42376,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2880]) ).
tcf(c_42378,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2880]) ).
tcf(c_42379,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2880]) ).
tcf(c_42380,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2880]) ).
tcf(c_42381,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2880]) ).
tcf(c_42382,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2880]) ).
tcf(c_42383,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2880]) ).
tcf(c_42384,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2880]) ).
tcf(c_42385,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2880]) ).
tcf(c_42386,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2880]) ).
tcf(c_42387,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2880]) ).
tcf(c_42388,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2880]) ).
tcf(c_42389,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2880]) ).
tcf(c_42390,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2880]) ).
tcf(c_42391,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2880]) ).
tcf(c_42392,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2880]) ).
tcf(c_42393,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2880]) ).
tcf(c_42394,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2880]) ).
tcf(c_42395,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2880]) ).
tcf(c_42396,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2880]) ).
tcf(c_42397,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2880]) ).
tcf(c_42398,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2880]) ).
tcf(c_42399,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2880]) ).
tcf(c_42400,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2880]) ).
tcf(c_42401,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2880]) ).
tcf(c_42402,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2880]) ).
tcf(c_42403,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2880]) ).
tcf(c_42404,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2880]) ).
tcf(c_42405,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2880]) ).
tcf(c_42406,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2880]) ).
tcf(c_42407,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2880]) ).
tcf(c_42408,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2880]) ).
tcf(c_42409,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2880]) ).
tcf(c_42410,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2880]) ).
tcf(c_42411,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2880]) ).
tcf(c_42412,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2880]) ).
tcf(c_42413,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2880]) ).
tcf(c_42414,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2880]) ).
tcf(c_42415,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2880]) ).
tcf(c_42416,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2880]) ).
tcf(c_42417,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2880]) ).
tcf(c_42418,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2880]) ).
tcf(c_42419,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2880]) ).
tcf(c_42420,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2880]) ).
tcf(c_42421,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2880]) ).
tcf(c_42422,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2880]) ).
tcf(c_42423,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2880]) ).
tcf(c_42424,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2880]) ).
tcf(c_42425,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2880]) ).
tcf(c_42426,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2880]) ).
tcf(c_42427,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2880]) ).
tcf(c_42428,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2880]) ).
tcf(c_42429,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2880]) ).
tcf(c_42430,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2880]) ).
tcf(c_42431,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2880]) ).
tcf(c_42432,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2880]) ).
tcf(c_42433,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2880]) ).
tcf(c_42434,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2880]) ).
tcf(c_42436,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2880]) ).
tcf(c_42437,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2880]) ).
tcf(c_42439,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2880]) ).
tcf(c_42440,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2880]) ).
tcf(c_42442,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2880]) ).
tcf(c_42443,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2880]) ).
tcf(c_42444,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2880]) ).
tcf(c_42445,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2880]) ).
tcf(c_42447,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2880]) ).
tcf(c_42449,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2880]) ).
tcf(c_42451,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2880]) ).
tcf(c_42452,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2880]) ).
tcf(c_42453,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2880]) ).
tcf(c_42454,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2880]) ).
tcf(c_42455,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2880]) ).
tcf(c_42456,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2880]) ).
tcf(c_42457,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2880]) ).
tcf(c_42458,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2880]) ).
tcf(c_42459,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2880]) ).
tcf(c_42460,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2880]) ).
tcf(c_42461,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2880]) ).
tcf(c_42462,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2880]) ).
tcf(c_42463,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2880]) ).
tcf(c_42464,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2880]) ).
tcf(c_42465,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2880]) ).
tcf(c_42466,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2880]) ).
tcf(c_42467,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2880]) ).
tcf(c_42468,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2880]) ).
tcf(c_42469,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2880]) ).
tcf(c_42470,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2880]) ).
tcf(c_42471,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2880]) ).
tcf(c_42472,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2880]) ).
tcf(c_42473,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2880]) ).
tcf(c_42474,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2880]) ).
tcf(c_42475,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2880]) ).
tcf(c_42476,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2880]) ).
tcf(c_42477,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2880]) ).
tcf(c_42478,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2880]) ).
tcf(c_42479,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2880]) ).
tcf(c_42480,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2880]) ).
tcf(c_42481,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2880]) ).
tcf(c_42482,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2880]) ).
tcf(c_42483,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2880]) ).
tcf(c_42484,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2880]) ).
tcf(c_42485,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2880]) ).
tcf(c_42486,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2880]) ).
tcf(c_42487,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2880]) ).
tcf(c_42488,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2880]) ).
tcf(c_42489,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2880]) ).
tcf(c_42490,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2880]) ).
tcf(c_42491,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2880]) ).
tcf(c_42492,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2880]) ).
tcf(c_42493,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2880]) ).
tcf(c_42494,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2880]) ).
tcf(c_42495,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2880]) ).
tcf(c_42496,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2880]) ).
tcf(c_42497,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2880]) ).
tcf(c_42498,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2880]) ).
tcf(c_42499,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2880]) ).
tcf(c_42500,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2880]) ).
tcf(c_42501,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2880]) ).
tcf(c_42502,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2880]) ).
tcf(c_42503,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2880]) ).
tcf(c_42504,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2880]) ).
tcf(c_42505,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2880]) ).
tcf(c_42506,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2880]) ).
tcf(c_42507,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2880]) ).
tcf(c_42508,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2880]) ).
tcf(c_43160,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_42365,c_7515]) ).
tcf(c_43161,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(smndt0(xR),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_42365,c_7514]) ).
tcf(c_43162,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xR))) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_42365,c_7453]) ).
tcf(c_43165,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_21209,c_37863]) ).
tcf(c_43166,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_23071,c_37863]) ).
tcf(c_43168,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_21207,c_37863]) ).
tcf(c_43189,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(smndt0(sz0z00),xS),
inference(superposition,[status(thm)],[c_43166,c_38044]) ).
tcf(c_43191,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43166,c_20625]) ).
tcf(c_43201,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),smndt0(sdtasdt0(sz0z00,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43168,c_13199]) ).
tcf(c_43202,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xS)),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43168,c_13198]) ).
tcf(c_43204,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_43168,c_13205]) ).
tcf(c_43259,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_26128,c_37905]) ).
tcf(c_43260,plain,
smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_26109,c_37905]) ).
tcf(c_43261,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_21229,c_37905]) ).
tcf(c_43262,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_23216,c_37905]) ).
tcf(c_43264,plain,
smndt0(smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_21227,c_37905]) ).
tcf(c_43278,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(smndt0(sz0z00),xN),
inference(superposition,[status(thm)],[c_43262,c_38045]) ).
tcf(c_43280,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43262,c_20997]) ).
tcf(c_43290,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),smndt0(sdtasdt0(sz0z00,xN))) = sz0z00,
inference(superposition,[status(thm)],[c_43264,c_13415]) ).
tcf(c_43291,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,xN)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43264,c_13414]) ).
tcf(c_43293,plain,
smndt0(sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_43264,c_13421]) ).
tcf(c_43342,plain,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_10378,c_42366]) ).
tcf(c_43346,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_42366,c_7557]) ).
tcf(c_43347,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_42366,c_7556]) ).
tcf(c_43348,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_42366,c_7461]) ).
tcf(c_43388,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xN)),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_42367,c_7918]) ).
tcf(c_43389,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(smndt0(xR),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_42367,c_7917]) ).
tcf(c_43390,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xN))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_42367,c_7881]) ).
tcf(c_43392,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = smndt0(sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2881]) ).
tcf(c_43393,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_1147,c_2881]) ).
tcf(c_43394,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_1143,c_2881]) ).
tcf(c_43395,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = smndt0(sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_1141,c_2881]) ).
tcf(c_43396,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2881]) ).
tcf(c_43397,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2881]) ).
tcf(c_43398,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xR),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2881]) ).
tcf(c_43399,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2881]) ).
tcf(c_43400,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2881]) ).
tcf(c_43401,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2881]) ).
tcf(c_43402,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2881]) ).
tcf(c_43403,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2881]) ).
tcf(c_43404,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2881]) ).
tcf(c_43406,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2881]) ).
tcf(c_43407,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2881]) ).
tcf(c_43408,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2881]) ).
tcf(c_43409,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2881]) ).
tcf(c_43410,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2881]) ).
tcf(c_43411,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2881]) ).
tcf(c_43412,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2881]) ).
tcf(c_43413,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2881]) ).
tcf(c_43414,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2881]) ).
tcf(c_43415,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2881]) ).
tcf(c_43416,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2881]) ).
tcf(c_43417,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2881]) ).
tcf(c_43418,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2881]) ).
tcf(c_43419,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2881]) ).
tcf(c_43420,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2881]) ).
tcf(c_43421,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2881]) ).
tcf(c_43422,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2881]) ).
tcf(c_43423,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2881]) ).
tcf(c_43424,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2881]) ).
tcf(c_43425,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2881]) ).
tcf(c_43426,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2881]) ).
tcf(c_43427,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2881]) ).
tcf(c_43428,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2881]) ).
tcf(c_43429,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2881]) ).
tcf(c_43430,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2881]) ).
tcf(c_43431,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2881]) ).
tcf(c_43432,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2881]) ).
tcf(c_43433,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2881]) ).
tcf(c_43434,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2881]) ).
tcf(c_43435,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2881]) ).
tcf(c_43436,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2881]) ).
tcf(c_43437,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2881]) ).
tcf(c_43438,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2881]) ).
tcf(c_43439,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2881]) ).
tcf(c_43440,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2881]) ).
tcf(c_43441,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2881]) ).
tcf(c_43442,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2881]) ).
tcf(c_43443,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2881]) ).
tcf(c_43444,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2881]) ).
tcf(c_43445,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2881]) ).
tcf(c_43446,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2881]) ).
tcf(c_43447,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2881]) ).
tcf(c_43448,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2881]) ).
tcf(c_43449,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2881]) ).
tcf(c_43450,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2881]) ).
tcf(c_43451,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2881]) ).
tcf(c_43452,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2881]) ).
tcf(c_43453,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2881]) ).
tcf(c_43454,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2881]) ).
tcf(c_43455,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2881]) ).
tcf(c_43456,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2881]) ).
tcf(c_43457,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2881]) ).
tcf(c_43458,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2881]) ).
tcf(c_43459,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2881]) ).
tcf(c_43460,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2881]) ).
tcf(c_43461,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2881]) ).
tcf(c_43462,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2881]) ).
tcf(c_43464,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2881]) ).
tcf(c_43465,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2881]) ).
tcf(c_43467,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2881]) ).
tcf(c_43468,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2881]) ).
tcf(c_43470,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2881]) ).
tcf(c_43471,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2881]) ).
tcf(c_43472,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2881]) ).
tcf(c_43473,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2881]) ).
tcf(c_43475,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2881]) ).
tcf(c_43477,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2881]) ).
tcf(c_43479,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2881]) ).
tcf(c_43480,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2881]) ).
tcf(c_43481,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2881]) ).
tcf(c_43482,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2881]) ).
tcf(c_43483,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2881]) ).
tcf(c_43484,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2881]) ).
tcf(c_43485,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2881]) ).
tcf(c_43486,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2881]) ).
tcf(c_43487,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2881]) ).
tcf(c_43488,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2881]) ).
tcf(c_43489,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2881]) ).
tcf(c_43490,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2881]) ).
tcf(c_43491,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2881]) ).
tcf(c_43492,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2881]) ).
tcf(c_43493,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2881]) ).
tcf(c_43494,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2881]) ).
tcf(c_43495,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2881]) ).
tcf(c_43496,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2881]) ).
tcf(c_43497,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2881]) ).
tcf(c_43498,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2881]) ).
tcf(c_43499,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2881]) ).
tcf(c_43500,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2881]) ).
tcf(c_43501,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2881]) ).
tcf(c_43502,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2881]) ).
tcf(c_43503,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2881]) ).
tcf(c_43504,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2881]) ).
tcf(c_43505,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2881]) ).
tcf(c_43506,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2881]) ).
tcf(c_43507,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2881]) ).
tcf(c_43508,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2881]) ).
tcf(c_43509,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2881]) ).
tcf(c_43510,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2881]) ).
tcf(c_43511,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2881]) ).
tcf(c_43512,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2881]) ).
tcf(c_43513,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2881]) ).
tcf(c_43514,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2881]) ).
tcf(c_43515,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2881]) ).
tcf(c_43516,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2881]) ).
tcf(c_43517,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2881]) ).
tcf(c_43518,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2881]) ).
tcf(c_43519,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2881]) ).
tcf(c_43520,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2881]) ).
tcf(c_43521,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2881]) ).
tcf(c_43522,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2881]) ).
tcf(c_43523,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2881]) ).
tcf(c_43524,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2881]) ).
tcf(c_43525,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2881]) ).
tcf(c_43526,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2881]) ).
tcf(c_43527,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2881]) ).
tcf(c_43528,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2881]) ).
tcf(c_43529,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2881]) ).
tcf(c_43530,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2881]) ).
tcf(c_43531,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2881]) ).
tcf(c_43532,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2881]) ).
tcf(c_43533,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2881]) ).
tcf(c_43534,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2881]) ).
tcf(c_43535,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2881]) ).
tcf(c_43536,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2881]) ).
tcf(c_43784,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = smndt0(sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4004,c_43393]) ).
tcf(c_43785,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),xR))
| ~ aScalar0(sdtasdt0(smndt0(xR),xR)) ),
inference(superposition,[status(thm)],[c_43393,c_1211]) ).
tcf(c_43786,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = sdtasdt0(smndt0(xR),smndt0(xR)),
inference(superposition,[status(thm)],[c_43393,c_42365]) ).
tcf(c_43787,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtasdt0(smndt0(xR),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43393,c_7515]) ).
tcf(c_43788,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xR),sdtasdt0(smndt0(smndt0(xR)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43393,c_7514]) ).
tcf(c_43789,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_43393,c_7453]) ).
tcf(c_43790,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = sdtasdt0(xR,xR),
inference(superposition,[status(thm)],[c_43393,c_7456]) ).
tcf(c_43807,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_37931,c_34307]) ).
tcf(c_43816,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = smndt0(sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_37932,c_34349]) ).
tcf(c_43824,plain,
sdtasdt0(sdtasdt0(xS,xR),xS) = sdtasdt0(smndt0(smndt0(xN)),xS),
inference(superposition,[status(thm)],[c_37954,c_27005]) ).
tcf(c_43826,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_37954,c_9847]) ).
tcf(c_43827,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(sdtasdt0(xS,xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_37954,c_9846]) ).
tcf(c_43837,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(sdtasdt0(xS,xR),xS),
inference(superposition,[status(thm)],[c_37960,c_37954]) ).
tcf(c_43839,plain,
sdtasdt0(sdtasdt0(xR,xS),xS) = sdtasdt0(smndt0(smndt0(xN)),xS),
inference(superposition,[status(thm)],[c_37960,c_27005]) ).
tcf(c_43841,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtasdt0(smndt0(xN),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_37960,c_9847]) ).
tcf(c_43842,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xS),sdtasdt0(sdtasdt0(xR,xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_37960,c_9846]) ).
tcf(c_43917,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_38036,c_34646]) ).
tcf(c_43927,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = smndt0(sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_38037,c_34688]) ).
tcf(c_43931,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_12371,c_38042]) ).
tcf(c_43932,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_12369,c_38042]) ).
tcf(c_43934,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))
| ~ aScalar0(sdtasdt0(smndt0(sz0z00),sz0z00)) ),
inference(superposition,[status(thm)],[c_38042,c_1211]) ).
tcf(c_43935,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_38042,c_37116]) ).
tcf(c_43936,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_38042,c_12454]) ).
tcf(c_43937,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_38042,c_12453]) ).
tcf(c_43938,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_38042,c_22596]) ).
tcf(c_43939,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_38042,c_12455]) ).
tcf(c_43940,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(sz0z00,sz0z00),
inference(superposition,[status(thm)],[c_38042,c_12370]) ).
tcf(c_43944,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_10449,c_43394]) ).
tcf(c_43945,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_10378,c_43394]) ).
tcf(c_43946,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_7457,c_43394]) ).
tcf(c_43947,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4007,c_43394]) ).
tcf(c_43948,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),xS))
| ~ aScalar0(sdtasdt0(smndt0(xR),xS)) ),
inference(superposition,[status(thm)],[c_43394,c_1211]) ).
tcf(c_43949,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_43394,c_42366]) ).
tcf(c_43950,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43394,c_7557]) ).
tcf(c_43951,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43394,c_7556]) ).
tcf(c_43952,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_43394,c_7461]) ).
tcf(c_43953,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_43394,c_10384]) ).
tcf(c_43954,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_43394,c_7464]) ).
tcf(c_44208,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = smndt0(sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4106,c_43395]) ).
tcf(c_44209,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),xN))
| ~ aScalar0(sdtasdt0(smndt0(xR),xN)) ),
inference(superposition,[status(thm)],[c_43395,c_1211]) ).
tcf(c_44210,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(smndt0(xR),smndt0(xN)),
inference(superposition,[status(thm)],[c_43395,c_42367]) ).
tcf(c_44211,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtasdt0(smndt0(xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43395,c_7918]) ).
tcf(c_44212,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xN),sdtasdt0(smndt0(smndt0(xR)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43395,c_7917]) ).
tcf(c_44213,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_43395,c_7881]) ).
tcf(c_44214,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,xN),
inference(superposition,[status(thm)],[c_43395,c_7884]) ).
tcf(c_44215,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(global_subsumption_just,[status(thm)],[c_43785,c_7451,c_43785]) ).
tcf(c_44219,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2881]) ).
tcf(c_44220,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2880]) ).
tcf(c_44221,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2831]) ).
tcf(c_44222,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2830]) ).
tcf(c_44223,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2829]) ).
tcf(c_44224,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2552]) ).
tcf(c_44225,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2551]) ).
tcf(c_44226,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2550]) ).
tcf(c_44227,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_44215,c_3408]) ).
tcf(c_44228,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_44215,c_3369]) ).
tcf(c_44229,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2580]) ).
tcf(c_44230,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2520]) ).
tcf(c_44231,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2519]) ).
tcf(c_44232,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2518]) ).
tcf(c_44233,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2473]) ).
tcf(c_44234,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2472]) ).
tcf(c_44235,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2471]) ).
tcf(c_44236,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2452]) ).
tcf(c_44237,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2451]) ).
tcf(c_44238,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2450]) ).
tcf(c_44239,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2425]) ).
tcf(c_44240,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2424]) ).
tcf(c_44241,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2423]) ).
tcf(c_44242,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_44215,c_2380]) ).
tcf(c_44243,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_44215,c_2372]) ).
tcf(c_44244,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1197]) ).
tcf(c_44245,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1199]) ).
tcf(c_44246,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1198]) ).
tcf(c_44247,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1203]) ).
tcf(c_44248,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1201]) ).
tcf(c_44249,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2367]) ).
tcf(c_44250,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1196]) ).
tcf(c_44251,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1195]) ).
tcf(c_44252,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44215,c_1194]) ).
tcf(c_44253,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_44215,c_1206]) ).
tcf(c_44254,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)),sdtasdt0(smndt0(smndt0(xR)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_44215,c_1205]) ).
tcf(c_44255,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(smndt0(xR)),xR),
inference(superposition,[status(thm)],[c_44215,c_1204]) ).
tcf(c_44537,plain,
aScalar0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_43934,c_56,c_156,c_12372,c_43934]) ).
tcf(c_44541,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2881]) ).
tcf(c_44542,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2880]) ).
tcf(c_44543,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2831]) ).
tcf(c_44544,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2830]) ).
tcf(c_44545,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2829]) ).
tcf(c_44546,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2552]) ).
tcf(c_44547,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2551]) ).
tcf(c_44548,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2550]) ).
tcf(c_44549,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_44537,c_3408]) ).
tcf(c_44550,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_44537,c_3369]) ).
tcf(c_44551,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2580]) ).
tcf(c_44552,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2520]) ).
tcf(c_44553,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2519]) ).
tcf(c_44554,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2518]) ).
tcf(c_44555,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2473]) ).
tcf(c_44556,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2472]) ).
tcf(c_44557,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2471]) ).
tcf(c_44558,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2452]) ).
tcf(c_44559,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2451]) ).
tcf(c_44560,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2450]) ).
tcf(c_44561,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2425]) ).
tcf(c_44562,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2424]) ).
tcf(c_44563,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2423]) ).
tcf(c_44564,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_44537,c_2380]) ).
tcf(c_44565,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_44537,c_2372]) ).
tcf(c_44566,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1197]) ).
tcf(c_44567,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1199]) ).
tcf(c_44568,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1198]) ).
tcf(c_44569,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1203]) ).
tcf(c_44570,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1201]) ).
tcf(c_44571,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2367]) ).
tcf(c_44572,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1196]) ).
tcf(c_44573,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1195]) ).
tcf(c_44574,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_44537,c_1194]) ).
tcf(c_44575,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_44537,c_1206]) ).
tcf(c_44576,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_44537,c_1205]) ).
tcf(c_44577,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),
inference(superposition,[status(thm)],[c_44537,c_1204]) ).
tcf(c_44674,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR),sdtasdt0(sz0z00,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_38831,c_13675]) ).
tcf(c_44675,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xR)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_38831,c_13674]) ).
tcf(c_44680,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xR) = sdtasdt0(sz0z00,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_38831,c_11020]) ).
tcf(c_44681,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = sdtasdt0(sz0z00,smndt0(xR)),
inference(superposition,[status(thm)],[c_38831,c_13676]) ).
tcf(c_44793,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS),sdtasdt0(sz0z00,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_38877,c_13776]) ).
tcf(c_44794,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_38877,c_13775]) ).
tcf(c_44799,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xS) = sdtasdt0(sz0z00,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_38877,c_11021]) ).
tcf(c_44800,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = sdtasdt0(sz0z00,smndt0(xS)),
inference(superposition,[status(thm)],[c_38877,c_13777]) ).
tcf(c_45138,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(global_subsumption_just,[status(thm)],[c_43948,c_7459,c_43948]) ).
tcf(c_45144,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2881]) ).
tcf(c_45145,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2880]) ).
tcf(c_45146,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2831]) ).
tcf(c_45147,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2830]) ).
tcf(c_45148,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2829]) ).
tcf(c_45149,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2552]) ).
tcf(c_45150,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2551]) ).
tcf(c_45151,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2550]) ).
tcf(c_45152,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_45138,c_3408]) ).
tcf(c_45153,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_45138,c_3369]) ).
tcf(c_45154,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2580]) ).
tcf(c_45155,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2520]) ).
tcf(c_45156,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2519]) ).
tcf(c_45157,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2518]) ).
tcf(c_45158,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2473]) ).
tcf(c_45159,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2472]) ).
tcf(c_45160,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2471]) ).
tcf(c_45161,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2452]) ).
tcf(c_45162,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2451]) ).
tcf(c_45163,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2450]) ).
tcf(c_45164,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2425]) ).
tcf(c_45165,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2424]) ).
tcf(c_45166,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2423]) ).
tcf(c_45167,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_45138,c_2380]) ).
tcf(c_45168,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_45138,c_2372]) ).
tcf(c_45169,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1197]) ).
tcf(c_45170,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1199]) ).
tcf(c_45171,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1198]) ).
tcf(c_45172,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1203]) ).
tcf(c_45173,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1201]) ).
tcf(c_45174,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2367]) ).
tcf(c_45175,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1196]) ).
tcf(c_45176,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1195]) ).
tcf(c_45177,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45138,c_1194]) ).
tcf(c_45178,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_45138,c_1206]) ).
tcf(c_45179,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_45138,c_1205]) ).
tcf(c_45180,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(smndt0(xR)),xS),
inference(superposition,[status(thm)],[c_45138,c_1204]) ).
tcf(c_45189,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(global_subsumption_just,[status(thm)],[c_44209,c_7879,c_44209]) ).
tcf(c_45193,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2881]) ).
tcf(c_45194,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2880]) ).
tcf(c_45195,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2831]) ).
tcf(c_45196,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2830]) ).
tcf(c_45197,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2829]) ).
tcf(c_45198,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2552]) ).
tcf(c_45199,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2551]) ).
tcf(c_45200,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2550]) ).
tcf(c_45201,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_45189,c_3408]) ).
tcf(c_45202,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_45189,c_3369]) ).
tcf(c_45203,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2580]) ).
tcf(c_45204,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2520]) ).
tcf(c_45205,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2519]) ).
tcf(c_45206,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2518]) ).
tcf(c_45207,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2473]) ).
tcf(c_45208,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2472]) ).
tcf(c_45209,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2471]) ).
tcf(c_45210,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2452]) ).
tcf(c_45211,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2451]) ).
tcf(c_45212,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2450]) ).
tcf(c_45213,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2425]) ).
tcf(c_45214,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2424]) ).
tcf(c_45215,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2423]) ).
tcf(c_45216,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_45189,c_2380]) ).
tcf(c_45217,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_45189,c_2372]) ).
tcf(c_45218,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1197]) ).
tcf(c_45219,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1199]) ).
tcf(c_45220,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1198]) ).
tcf(c_45221,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1203]) ).
tcf(c_45222,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1201]) ).
tcf(c_45223,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2367]) ).
tcf(c_45224,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1196]) ).
tcf(c_45225,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1195]) ).
tcf(c_45226,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_45189,c_1194]) ).
tcf(c_45227,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_45189,c_1206]) ).
tcf(c_45228,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)),sdtasdt0(smndt0(smndt0(xR)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_45189,c_1205]) ).
tcf(c_45229,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(smndt0(xR)),xN),
inference(superposition,[status(thm)],[c_45189,c_1204]) ).
tcf(c_45709,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_39107,c_26088]) ).
tcf(c_45710,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_39107,c_26081]) ).
tcf(c_45711,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN),sdtasdt0(sz0z00,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_39107,c_13858]) ).
tcf(c_45712,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(xN)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39107,c_13857]) ).
tcf(c_45717,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),xN) = sdtasdt0(sz0z00,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_39107,c_11022]) ).
tcf(c_45718,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = sdtasdt0(sz0z00,smndt0(xN)),
inference(superposition,[status(thm)],[c_39107,c_13859]) ).
tcf(c_45750,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_39282,c_34730]) ).
tcf(c_45753,plain,
sdtasdt0(sdtasdt0(xS,xR),xN) = sdtasdt0(smndt0(smndt0(xN)),xN),
inference(superposition,[status(thm)],[c_39282,c_27006]) ).
tcf(c_45755,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39282,c_10000]) ).
tcf(c_45756,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(sdtasdt0(xS,xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_39282,c_9999]) ).
tcf(c_45768,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(sdtasdt0(xS,xR),xN),
inference(superposition,[status(thm)],[c_40831,c_39282]) ).
tcf(c_45769,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(xN,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_40831,c_34730]) ).
tcf(c_45772,plain,
sdtasdt0(sdtasdt0(xR,xS),xN) = sdtasdt0(smndt0(smndt0(xN)),xN),
inference(superposition,[status(thm)],[c_40831,c_27006]) ).
tcf(c_45774,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtasdt0(smndt0(xN),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_40831,c_10000]) ).
tcf(c_45775,plain,
sdtpldt0(sdtasdt0(smndt0(xN),xN),sdtasdt0(sdtasdt0(xR,xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_40831,c_9999]) ).
tcf(c_45895,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2882]) ).
tcf(c_45896,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xR)) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_1147,c_2882]) ).
tcf(c_45897,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xS)) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_1143,c_2882]) ).
tcf(c_45898,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(xN)) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_1141,c_2882]) ).
tcf(c_45899,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xR),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2882]) ).
tcf(c_45900,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2882]) ).
tcf(c_45901,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(smndt0(xR),smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2882]) ).
tcf(c_45902,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2882]) ).
tcf(c_45903,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2882]) ).
tcf(c_45904,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(xR),smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2882]) ).
tcf(c_45905,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2882]) ).
tcf(c_45906,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(xR),smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2882]) ).
tcf(c_45907,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2882]) ).
tcf(c_45909,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2882]) ).
tcf(c_45910,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2882]) ).
tcf(c_45911,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2882]) ).
tcf(c_45912,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2882]) ).
tcf(c_45913,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xR),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2882]) ).
tcf(c_45914,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2882]) ).
tcf(c_45915,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2882]) ).
tcf(c_45916,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2882]) ).
tcf(c_45917,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2882]) ).
tcf(c_45918,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2882]) ).
tcf(c_45919,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2882]) ).
tcf(c_45920,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2882]) ).
tcf(c_45921,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2882]) ).
tcf(c_45922,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2882]) ).
tcf(c_45923,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2882]) ).
tcf(c_45924,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2882]) ).
tcf(c_45925,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2882]) ).
tcf(c_45926,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2882]) ).
tcf(c_45927,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2882]) ).
tcf(c_45928,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2882]) ).
tcf(c_45929,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2882]) ).
tcf(c_45930,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2882]) ).
tcf(c_45931,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2882]) ).
tcf(c_45932,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2882]) ).
tcf(c_45933,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2882]) ).
tcf(c_45934,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2882]) ).
tcf(c_45935,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2882]) ).
tcf(c_45936,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2882]) ).
tcf(c_45937,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2882]) ).
tcf(c_45938,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2882]) ).
tcf(c_45939,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2882]) ).
tcf(c_45940,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2882]) ).
tcf(c_45941,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2882]) ).
tcf(c_45942,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2882]) ).
tcf(c_45943,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2882]) ).
tcf(c_45944,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2882]) ).
tcf(c_45945,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2882]) ).
tcf(c_45946,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2882]) ).
tcf(c_45947,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2882]) ).
tcf(c_45948,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2882]) ).
tcf(c_45949,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2882]) ).
tcf(c_45950,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2882]) ).
tcf(c_45951,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2882]) ).
tcf(c_45952,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2882]) ).
tcf(c_45953,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2882]) ).
tcf(c_45954,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2882]) ).
tcf(c_45955,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2882]) ).
tcf(c_45956,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2882]) ).
tcf(c_45957,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2882]) ).
tcf(c_45958,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2882]) ).
tcf(c_45959,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2882]) ).
tcf(c_45960,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2882]) ).
tcf(c_45961,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2882]) ).
tcf(c_45962,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2882]) ).
tcf(c_45963,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2882]) ).
tcf(c_45964,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2882]) ).
tcf(c_45965,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2882]) ).
tcf(c_45967,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2882]) ).
tcf(c_45968,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2882]) ).
tcf(c_45970,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2882]) ).
tcf(c_45971,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2882]) ).
tcf(c_45973,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2882]) ).
tcf(c_45974,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2882]) ).
tcf(c_45975,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2882]) ).
tcf(c_45976,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2882]) ).
tcf(c_45978,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2882]) ).
tcf(c_45980,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2882]) ).
tcf(c_45982,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2882]) ).
tcf(c_45983,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2882]) ).
tcf(c_45984,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2882]) ).
tcf(c_45985,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2882]) ).
tcf(c_45986,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2882]) ).
tcf(c_45987,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2882]) ).
tcf(c_45988,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2882]) ).
tcf(c_45989,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2882]) ).
tcf(c_45990,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2882]) ).
tcf(c_45991,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2882]) ).
tcf(c_45992,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2882]) ).
tcf(c_45993,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2882]) ).
tcf(c_45994,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2882]) ).
tcf(c_45995,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2882]) ).
tcf(c_45996,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2882]) ).
tcf(c_45997,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2882]) ).
tcf(c_45998,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2882]) ).
tcf(c_45999,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2882]) ).
tcf(c_46000,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2882]) ).
tcf(c_46001,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2882]) ).
tcf(c_46002,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2882]) ).
tcf(c_46003,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2882]) ).
tcf(c_46004,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2882]) ).
tcf(c_46005,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2882]) ).
tcf(c_46006,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2882]) ).
tcf(c_46007,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2882]) ).
tcf(c_46008,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2882]) ).
tcf(c_46009,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2882]) ).
tcf(c_46010,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2882]) ).
tcf(c_46011,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2882]) ).
tcf(c_46012,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2882]) ).
tcf(c_46013,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2882]) ).
tcf(c_46014,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2882]) ).
tcf(c_46015,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2882]) ).
tcf(c_46016,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2882]) ).
tcf(c_46017,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2882]) ).
tcf(c_46018,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2882]) ).
tcf(c_46019,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2882]) ).
tcf(c_46020,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2882]) ).
tcf(c_46021,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2882]) ).
tcf(c_46022,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2882]) ).
tcf(c_46023,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2882]) ).
tcf(c_46024,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2882]) ).
tcf(c_46025,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2882]) ).
tcf(c_46026,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2882]) ).
tcf(c_46027,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2882]) ).
tcf(c_46028,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2882]) ).
tcf(c_46029,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2882]) ).
tcf(c_46030,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2882]) ).
tcf(c_46031,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2882]) ).
tcf(c_46032,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2882]) ).
tcf(c_46033,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2882]) ).
tcf(c_46034,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2882]) ).
tcf(c_46035,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2882]) ).
tcf(c_46036,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2882]) ).
tcf(c_46037,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2882]) ).
tcf(c_46038,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2882]) ).
tcf(c_46039,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2882]) ).
tcf(c_46040,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2882]) ).
tcf(c_46041,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2882]) ).
tcf(c_46042,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2882]) ).
tcf(c_46043,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2882]) ).
tcf(c_46677,plain,
smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_21146,c_42296]) ).
tcf(c_46678,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_22853,c_42296]) ).
tcf(c_46680,plain,
smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_21143,c_42296]) ).
tcf(c_46695,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(smndt0(sz0z00),sz0z00),
inference(superposition,[status(thm)],[c_46678,c_38042]) ).
tcf(c_46697,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_46678,c_12454]) ).
tcf(c_46707,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),sz0z00),smndt0(sdtasdt0(sz0z00,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_46680,c_11597]) ).
tcf(c_46708,plain,
sdtpldt0(smndt0(sdtasdt0(sz0z00,sz0z00)),sdtasdt0(smndt0(sz0z00),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_46680,c_11596]) ).
tcf(c_46710,plain,
smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_46680,c_11603]) ).
tcf(c_46744,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_42299,c_19913]) ).
tcf(c_46772,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_42364,c_7757]) ).
tcf(c_46773,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_42364,c_7756]) ).
tcf(c_46775,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_42364,c_7731]) ).
tcf(c_46778,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xR),xR),
inference(superposition,[status(thm)],[c_16842,c_43162]) ).
tcf(c_46787,plain,
sdtasdt0(smndt0(xS),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2900]) ).
tcf(c_46788,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_1147,c_2900]) ).
tcf(c_46789,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_1143,c_2900]) ).
tcf(c_46790,plain,
sdtasdt0(smndt0(xS),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_1141,c_2900]) ).
tcf(c_46791,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2900]) ).
tcf(c_46792,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2900]) ).
tcf(c_46793,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xS),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2900]) ).
tcf(c_46794,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2900]) ).
tcf(c_46795,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(smndt0(xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2900]) ).
tcf(c_46796,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2900]) ).
tcf(c_46797,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2900]) ).
tcf(c_46798,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2900]) ).
tcf(c_46799,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2900]) ).
tcf(c_46801,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2900]) ).
tcf(c_46802,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2900]) ).
tcf(c_46803,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2900]) ).
tcf(c_46804,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2900]) ).
tcf(c_46805,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2900]) ).
tcf(c_46806,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2900]) ).
tcf(c_46807,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2900]) ).
tcf(c_46808,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2900]) ).
tcf(c_46809,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2900]) ).
tcf(c_46810,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2900]) ).
tcf(c_46811,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2900]) ).
tcf(c_46812,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2900]) ).
tcf(c_46813,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2900]) ).
tcf(c_46814,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2900]) ).
tcf(c_46815,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2900]) ).
tcf(c_46816,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2900]) ).
tcf(c_46817,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2900]) ).
tcf(c_46818,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2900]) ).
tcf(c_46819,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2900]) ).
tcf(c_46820,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2900]) ).
tcf(c_46821,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2900]) ).
tcf(c_46822,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2900]) ).
tcf(c_46823,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2900]) ).
tcf(c_46824,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2900]) ).
tcf(c_46825,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2900]) ).
tcf(c_46826,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2900]) ).
tcf(c_46827,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2900]) ).
tcf(c_46828,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2900]) ).
tcf(c_46829,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2900]) ).
tcf(c_46830,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2900]) ).
tcf(c_46831,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2900]) ).
tcf(c_46832,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2900]) ).
tcf(c_46833,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2900]) ).
tcf(c_46834,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2900]) ).
tcf(c_46835,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2900]) ).
tcf(c_46836,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2900]) ).
tcf(c_46837,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2900]) ).
tcf(c_46838,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2900]) ).
tcf(c_46839,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2900]) ).
tcf(c_46840,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2900]) ).
tcf(c_46841,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2900]) ).
tcf(c_46842,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2900]) ).
tcf(c_46843,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2900]) ).
tcf(c_46844,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2900]) ).
tcf(c_46845,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2900]) ).
tcf(c_46846,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2900]) ).
tcf(c_46847,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2900]) ).
tcf(c_46848,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2900]) ).
tcf(c_46849,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2900]) ).
tcf(c_46850,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2900]) ).
tcf(c_46851,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2900]) ).
tcf(c_46852,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2900]) ).
tcf(c_46853,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2900]) ).
tcf(c_46854,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2900]) ).
tcf(c_46855,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2900]) ).
tcf(c_46856,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2900]) ).
tcf(c_46857,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2900]) ).
tcf(c_46859,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2900]) ).
tcf(c_46860,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2900]) ).
tcf(c_46862,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2900]) ).
tcf(c_46863,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2900]) ).
tcf(c_46865,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2900]) ).
tcf(c_46866,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2900]) ).
tcf(c_46867,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2900]) ).
tcf(c_46868,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2900]) ).
tcf(c_46870,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2900]) ).
tcf(c_46872,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2900]) ).
tcf(c_46874,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2900]) ).
tcf(c_46875,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2900]) ).
tcf(c_46876,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2900]) ).
tcf(c_46877,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2900]) ).
tcf(c_46878,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2900]) ).
tcf(c_46879,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2900]) ).
tcf(c_46880,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2900]) ).
tcf(c_46881,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2900]) ).
tcf(c_46882,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2900]) ).
tcf(c_46883,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2900]) ).
tcf(c_46884,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2900]) ).
tcf(c_46885,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2900]) ).
tcf(c_46886,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2900]) ).
tcf(c_46887,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2900]) ).
tcf(c_46888,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2900]) ).
tcf(c_46889,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2900]) ).
tcf(c_46890,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2900]) ).
tcf(c_46891,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2900]) ).
tcf(c_46892,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2900]) ).
tcf(c_46893,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2900]) ).
tcf(c_46894,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2900]) ).
tcf(c_46895,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2900]) ).
tcf(c_46896,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2900]) ).
tcf(c_46897,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2900]) ).
tcf(c_46898,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2900]) ).
tcf(c_46899,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2900]) ).
tcf(c_46900,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2900]) ).
tcf(c_46901,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2900]) ).
tcf(c_46902,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2900]) ).
tcf(c_46903,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2900]) ).
tcf(c_46904,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2900]) ).
tcf(c_46905,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2900]) ).
tcf(c_46906,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2900]) ).
tcf(c_46907,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2900]) ).
tcf(c_46908,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2900]) ).
tcf(c_46909,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2900]) ).
tcf(c_46910,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2900]) ).
tcf(c_46911,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2900]) ).
tcf(c_46912,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2900]) ).
tcf(c_46913,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2900]) ).
tcf(c_46914,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2900]) ).
tcf(c_46915,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2900]) ).
tcf(c_46916,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2900]) ).
tcf(c_46917,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2900]) ).
tcf(c_46918,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2900]) ).
tcf(c_46919,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2900]) ).
tcf(c_46920,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2900]) ).
tcf(c_46921,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2900]) ).
tcf(c_46922,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2900]) ).
tcf(c_46923,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2900]) ).
tcf(c_46924,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2900]) ).
tcf(c_46925,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2900]) ).
tcf(c_46926,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2900]) ).
tcf(c_46927,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2900]) ).
tcf(c_46928,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2900]) ).
tcf(c_46929,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2900]) ).
tcf(c_46930,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2900]) ).
tcf(c_46931,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2900]) ).
tcf(c_46932,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2900]) ).
tcf(c_46933,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2900]) ).
tcf(c_46934,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2900]) ).
tcf(c_46935,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2900]) ).
tcf(c_47090,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xR)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_46788,c_8445]) ).
tcf(c_47091,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_46788,c_8444]) ).
tcf(c_47092,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_46788,c_8394]) ).
tcf(c_47265,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_43165,c_20002]) ).
tcf(c_47412,plain,
sdtasdt0(sz0z00,sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_43259,c_20810]) ).
tcf(c_47421,plain,
sdtasdt0(sz0z00,sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_43260,c_20773]) ).
tcf(c_47434,plain,
sdtasdt0(sz0z00,smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_43261,c_20341]) ).
tcf(c_47465,plain,
sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xS)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43342,c_8445]) ).
tcf(c_47466,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xR),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43342,c_8444]) ).
tcf(c_47467,plain,
smndt0(sdtasdt0(smndt0(xR),smndt0(xS))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_43342,c_8394]) ).
tcf(c_47472,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xR))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_21903,c_43348]) ).
tcf(c_47473,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_21901,c_43348]) ).
tcf(c_47474,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xR),xS),
inference(superposition,[status(thm)],[c_16862,c_43348]) ).
tcf(c_47476,plain,
sdtasdt0(smndt0(xR),xS) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_15051,c_43348]) ).
tcf(c_47485,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xS)),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_46789,c_8991]) ).
tcf(c_47486,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(smndt0(xS),smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_46789,c_8990]) ).
tcf(c_47488,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xS))) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_46789,c_8992]) ).
tcf(c_47492,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(xN)),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_46790,c_8575]) ).
tcf(c_47493,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(smndt0(xS),smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_46790,c_8574]) ).
tcf(c_47494,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(xN))) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_46790,c_8422]) ).
tcf(c_47523,plain,
sdtasdt0(smndt0(smndt0(xS)),sz0z00) = smndt0(sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_2516,c_2901]) ).
tcf(c_47524,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_1147,c_2901]) ).
tcf(c_47525,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = smndt0(sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_1143,c_2901]) ).
tcf(c_47526,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = smndt0(sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_1141,c_2901]) ).
tcf(c_47527,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sz0z00)) = smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_2821,c_2901]) ).
tcf(c_47528,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_11431,c_2901]) ).
tcf(c_47529,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xS),smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2901]) ).
tcf(c_47530,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2901]) ).
tcf(c_47531,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = smndt0(sdtasdt0(smndt0(xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2901]) ).
tcf(c_47532,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_2873,c_2901]) ).
tcf(c_47533,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xS)) = smndt0(sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_2893,c_2901]) ).
tcf(c_47534,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xN)) = smndt0(sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_2548,c_2901]) ).
tcf(c_47535,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_16096,c_2901]) ).
tcf(c_47537,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3042,c_2901]) ).
tcf(c_47538,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_3851,c_2901]) ).
tcf(c_47539,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3099,c_2901]) ).
tcf(c_47540,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3183,c_2901]) ).
tcf(c_47541,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3265,c_2901]) ).
tcf(c_47542,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_2901]) ).
tcf(c_47543,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_2901]) ).
tcf(c_47544,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_2901]) ).
tcf(c_47545,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_2901]) ).
tcf(c_47546,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_2901]) ).
tcf(c_47547,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_2901]) ).
tcf(c_47548,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_3940,c_2901]) ).
tcf(c_47549,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4012,c_2901]) ).
tcf(c_47550,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4110,c_2901]) ).
tcf(c_47551,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_2901]) ).
tcf(c_47552,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_2901]) ).
tcf(c_47553,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_2901]) ).
tcf(c_47554,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_2901]) ).
tcf(c_47555,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_2901]) ).
tcf(c_47556,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_2901]) ).
tcf(c_47557,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_2901]) ).
tcf(c_47558,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_2901]) ).
tcf(c_47559,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5104,c_2901]) ).
tcf(c_47560,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5347,c_2901]) ).
tcf(c_47561,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5244,c_2901]) ).
tcf(c_47562,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_2901]) ).
tcf(c_47563,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_2901]) ).
tcf(c_47564,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_2901]) ).
tcf(c_47565,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_2901]) ).
tcf(c_47566,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_2901]) ).
tcf(c_47567,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_2901]) ).
tcf(c_47568,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_2901]) ).
tcf(c_47569,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_6303,c_2901]) ).
tcf(c_47570,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_6411,c_2901]) ).
tcf(c_47571,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_6500,c_2901]) ).
tcf(c_47572,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6219,c_2901]) ).
tcf(c_47573,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_2901]) ).
tcf(c_47574,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_2901]) ).
tcf(c_47575,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_2901]) ).
tcf(c_47576,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_2901]) ).
tcf(c_47577,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_2901]) ).
tcf(c_47578,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_2901]) ).
tcf(c_47579,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_2901]) ).
tcf(c_47580,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_2901]) ).
tcf(c_47581,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_2901]) ).
tcf(c_47582,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_2901]) ).
tcf(c_47583,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_2901]) ).
tcf(c_47584,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_2901]) ).
tcf(c_47585,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_2901]) ).
tcf(c_47586,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_2901]) ).
tcf(c_47587,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_2901]) ).
tcf(c_47588,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_2901]) ).
tcf(c_47589,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_2901]) ).
tcf(c_47590,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_2901]) ).
tcf(c_47591,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_2901]) ).
tcf(c_47592,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_2901]) ).
tcf(c_47593,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_2901]) ).
tcf(c_47595,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_12971,c_2901]) ).
tcf(c_47596,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_2901]) ).
tcf(c_47598,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_13185,c_2901]) ).
tcf(c_47599,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_2901]) ).
tcf(c_47601,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_13401,c_2901]) ).
tcf(c_47602,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sz0z00))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_2901]) ).
tcf(c_47603,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_2901]) ).
tcf(c_47604,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_2901]) ).
tcf(c_47606,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_2901]) ).
tcf(c_47608,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_2901]) ).
tcf(c_47610,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xR))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_2901]) ).
tcf(c_47611,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_2901]) ).
tcf(c_47612,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xN))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_2901]) ).
tcf(c_47613,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_2901]) ).
tcf(c_47614,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_2901]) ).
tcf(c_47615,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_2901]) ).
tcf(c_47616,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xR),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_2901]) ).
tcf(c_47617,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_2901]) ).
tcf(c_47618,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_2901]) ).
tcf(c_47619,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xS),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_2901]) ).
tcf(c_47620,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xS))) = smndt0(sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_2901]) ).
tcf(c_47621,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_2901]) ).
tcf(c_47622,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_2901]) ).
tcf(c_47623,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_2901]) ).
tcf(c_47624,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(xN),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_2901]) ).
tcf(c_47625,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_2901]) ).
tcf(c_47626,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_2901]) ).
tcf(c_47627,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_2901]) ).
tcf(c_47628,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_2901]) ).
tcf(c_47629,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_2901]) ).
tcf(c_47630,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_2901]) ).
tcf(c_47631,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_2901]) ).
tcf(c_47632,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xR,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_2901]) ).
tcf(c_47633,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_2901]) ).
tcf(c_47634,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_2901]) ).
tcf(c_47635,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_2901]) ).
tcf(c_47636,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_2901]) ).
tcf(c_47637,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xS,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_2901]) ).
tcf(c_47638,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_2901]) ).
tcf(c_47639,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_2901]) ).
tcf(c_47640,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_2901]) ).
tcf(c_47641,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_2901]) ).
tcf(c_47642,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_2901]) ).
tcf(c_47643,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(xN,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_2901]) ).
tcf(c_47644,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_2901]) ).
tcf(c_47645,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_2901]) ).
tcf(c_47646,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_2901]) ).
tcf(c_47647,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_2901]) ).
tcf(c_47648,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_2901]) ).
tcf(c_47649,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_2901]) ).
tcf(c_47650,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_2901]) ).
tcf(c_47651,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_2901]) ).
tcf(c_47652,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(sz0z00),smndt0(xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_2901]) ).
tcf(c_47653,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_2901]) ).
tcf(c_47654,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_2901]) ).
tcf(c_47655,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_2901]) ).
tcf(c_47656,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_2901]) ).
tcf(c_47657,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_2901]) ).
tcf(c_47658,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_2901]) ).
tcf(c_47659,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_2901]) ).
tcf(c_47660,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_2901]) ).
tcf(c_47661,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_2901]) ).
tcf(c_47662,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xN)),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_2901]) ).
tcf(c_47663,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_2901]) ).
tcf(c_47664,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_2901]) ).
tcf(c_47665,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_2901]) ).
tcf(c_47666,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_2901]) ).
tcf(c_47667,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_2901]) ).
tcf(c_47668,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_2901]) ).
tcf(c_47669,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_2901]) ).
tcf(c_47670,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_2901]) ).
tcf(c_47671,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_2901]) ).
tcf(c_50034,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_10842,c_47524]) ).
tcf(c_50035,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5400,c_47524]) ).
tcf(c_50036,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_1136,c_47524]) ).
tcf(c_50037,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xS)),xR))
| ~ aScalar0(sdtasdt0(smndt0(xS),xR)) ),
inference(superposition,[status(thm)],[c_47524,c_1211]) ).
tcf(c_50038,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(smndt0(xR),smndt0(xS)),
inference(superposition,[status(thm)],[c_47524,c_43342]) ).
tcf(c_50039,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_47524,c_46788]) ).
tcf(c_50040,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_47524,c_8445]) ).
tcf(c_50041,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(smndt0(xS)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_47524,c_8444]) ).
tcf(c_50042,plain,
smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_47524,c_8394]) ).
tcf(c_50043,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(xR,xS),
inference(superposition,[status(thm)],[c_47524,c_10919]) ).
tcf(c_50044,plain,
sdtasdt0(smndt0(smndt0(xS)),xR) = sdtasdt0(xS,xR),
inference(superposition,[status(thm)],[c_47524,c_8397]) ).
tcf(c_50110,plain,
sdtpldt0(sdtasdt0(smndt0(xR),xS),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_47476,c_3055]) ).
tcf(c_50111,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47476,c_3054]) ).
tcf(c_50113,plain,
smndt0(sdtasdt0(smndt0(xR),xS)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_47476,c_2583]) ).
tcf(c_50142,plain,
smndt0(sdtasdt0(smndt0(xS),xR)) = smndt0(smndt0(xN)),
inference(superposition,[status(thm)],[c_10378,c_50113]) ).
tcf(c_50163,plain,
sdtpldt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_50142,c_8445]) ).
tcf(c_50164,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),smndt0(smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_50142,c_8444]) ).
tcf(c_50165,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_50142,c_8394]) ).
tcf(c_50233,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_25582,c_43390]) ).
tcf(c_50234,plain,
smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_25570,c_43390]) ).
tcf(c_50235,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xR),xN),
inference(superposition,[status(thm)],[c_17544,c_43390]) ).
tcf(c_50249,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = smndt0(sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5417,c_47525]) ).
tcf(c_50250,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xS)),xS))
| ~ aScalar0(sdtasdt0(smndt0(xS),xS)) ),
inference(superposition,[status(thm)],[c_47525,c_1211]) ).
tcf(c_50251,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(superposition,[status(thm)],[c_47525,c_46789]) ).
tcf(c_50252,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),sdtasdt0(smndt0(xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47525,c_8991]) ).
tcf(c_50253,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xS),sdtasdt0(smndt0(smndt0(xS)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47525,c_8990]) ).
tcf(c_50254,plain,
sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(xS,xS),
inference(superposition,[status(thm)],[c_47525,c_16348]) ).
tcf(c_50255,plain,
smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_47525,c_8992]) ).
tcf(c_50348,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = smndt0(sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5420,c_47526]) ).
tcf(c_50349,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xS)),xN))
| ~ aScalar0(sdtasdt0(smndt0(xS),xN)) ),
inference(superposition,[status(thm)],[c_47526,c_1211]) ).
tcf(c_50350,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = sdtasdt0(smndt0(xS),smndt0(xN)),
inference(superposition,[status(thm)],[c_47526,c_46790]) ).
tcf(c_50351,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),sdtasdt0(smndt0(xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47526,c_8575]) ).
tcf(c_50352,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xN),sdtasdt0(smndt0(smndt0(xS)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47526,c_8574]) ).
tcf(c_50353,plain,
smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_47526,c_8422]) ).
tcf(c_50354,plain,
sdtasdt0(smndt0(smndt0(xS)),xN) = sdtasdt0(xS,xN),
inference(superposition,[status(thm)],[c_47526,c_8425]) ).
tcf(c_50379,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(global_subsumption_just,[status(thm)],[c_50037,c_129,c_125,c_2465,c_5557,c_50037]) ).
tcf(c_50385,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2901]) ).
tcf(c_50386,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2900]) ).
tcf(c_50387,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2882]) ).
tcf(c_50388,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2881]) ).
tcf(c_50389,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2880]) ).
tcf(c_50390,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2831]) ).
tcf(c_50391,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2830]) ).
tcf(c_50392,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2829]) ).
tcf(c_50393,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2552]) ).
tcf(c_50394,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2551]) ).
tcf(c_50395,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2550]) ).
tcf(c_50396,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))))) = sz0z00,
inference(superposition,[status(thm)],[c_50379,c_3408]) ).
tcf(c_50397,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_50379,c_3369]) ).
tcf(c_50398,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2580]) ).
tcf(c_50399,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2520]) ).
tcf(c_50400,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2519]) ).
tcf(c_50401,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2518]) ).
tcf(c_50402,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2473]) ).
tcf(c_50403,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2472]) ).
tcf(c_50404,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2471]) ).
tcf(c_50405,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2452]) ).
tcf(c_50406,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2451]) ).
tcf(c_50407,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xR)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_2450]) ).
tcf(c_50408,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2425]) ).
tcf(c_50409,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2424]) ).
tcf(c_50410,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2423]) ).
tcf(c_50411,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_50379,c_2380]) ).
tcf(c_50412,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_50379,c_2372]) ).
tcf(c_50413,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1197]) ).
tcf(c_50414,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1199]) ).
tcf(c_50415,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1198]) ).
tcf(c_50416,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1203]) ).
tcf(c_50417,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1201]) ).
tcf(c_50418,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2367]) ).
tcf(c_50419,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1196]) ).
tcf(c_50420,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1195]) ).
tcf(c_50421,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xR),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50379,c_1194]) ).
tcf(c_50422,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sz0z00,
inference(superposition,[status(thm)],[c_50379,c_1206]) ).
tcf(c_50423,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)),sdtasdt0(smndt0(smndt0(xS)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_50379,c_1205]) ).
tcf(c_50424,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(smndt0(xS)),xR),
inference(superposition,[status(thm)],[c_50379,c_1204]) ).
tcf(c_50590,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(global_subsumption_just,[status(thm)],[c_50250,c_129,c_2385,c_2465,c_8418,c_50250]) ).
tcf(c_50593,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2901]) ).
tcf(c_50594,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2900]) ).
tcf(c_50595,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2882]) ).
tcf(c_50596,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2881]) ).
tcf(c_50597,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2880]) ).
tcf(c_50598,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2831]) ).
tcf(c_50599,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2830]) ).
tcf(c_50600,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2829]) ).
tcf(c_50601,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2552]) ).
tcf(c_50602,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2551]) ).
tcf(c_50603,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2550]) ).
tcf(c_50604,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))))) = sz0z00,
inference(superposition,[status(thm)],[c_50590,c_3408]) ).
tcf(c_50605,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_50590,c_3369]) ).
tcf(c_50606,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2580]) ).
tcf(c_50607,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2520]) ).
tcf(c_50608,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2519]) ).
tcf(c_50609,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2518]) ).
tcf(c_50610,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2473]) ).
tcf(c_50611,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2472]) ).
tcf(c_50612,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2471]) ).
tcf(c_50613,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2452]) ).
tcf(c_50614,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2451]) ).
tcf(c_50615,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xS)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_2450]) ).
tcf(c_50616,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2425]) ).
tcf(c_50617,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2424]) ).
tcf(c_50618,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2423]) ).
tcf(c_50619,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_50590,c_2380]) ).
tcf(c_50620,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_50590,c_2372]) ).
tcf(c_50621,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1197]) ).
tcf(c_50622,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1199]) ).
tcf(c_50623,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1198]) ).
tcf(c_50624,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1203]) ).
tcf(c_50625,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1201]) ).
tcf(c_50626,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2367]) ).
tcf(c_50627,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1196]) ).
tcf(c_50628,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1195]) ).
tcf(c_50629,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xS),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_50590,c_1194]) ).
tcf(c_50630,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sz0z00,
inference(superposition,[status(thm)],[c_50590,c_1206]) ).
tcf(c_50631,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)),sdtasdt0(smndt0(smndt0(xS)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_50590,c_1205]) ).
tcf(c_50632,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(smndt0(xS)),xS),
inference(superposition,[status(thm)],[c_50590,c_1204]) ).
tcf(c_50801,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = smndt0(sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3978,c_43392]) ).
tcf(c_50802,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3835,c_43392]) ).
tcf(c_50803,plain,
( aScalar0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))
| ~ aScalar0(sdtasdt0(smndt0(xR),sz0z00)) ),
inference(superposition,[status(thm)],[c_43392,c_1211]) ).
tcf(c_50804,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(smndt0(xR),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_43392,c_42364]) ).
tcf(c_50805,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_43392,c_7757]) ).
tcf(c_50806,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_43392,c_7756]) ).
tcf(c_50807,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(xR,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_43392,c_21750]) ).
tcf(c_50808,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_43392,c_7731]) ).
tcf(c_50809,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(xR,sz0z00),
inference(superposition,[status(thm)],[c_43392,c_7734]) ).
tcf(c_50991,plain,
sdtasdt0(smndt0(smndt0(xR)),xR) = sdtasdt0(xR,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_43784,c_9439]) ).
tcf(c_50993,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xR),sdtasdt0(xR,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_43784,c_4295]) ).
tcf(c_50994,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43784,c_4294]) ).
tcf(c_50996,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)) = sdtasdt0(xR,smndt0(xR)),
inference(superposition,[status(thm)],[c_43784,c_4296]) ).
tcf(c_51022,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43807,c_6886]) ).
tcf(c_51023,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(sdtasdt0(xS,xR),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43807,c_6885]) ).
tcf(c_51036,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xS),sdtasdt0(xN,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43816,c_6886]) ).
tcf(c_51037,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xS)),sdtasdt0(sdtasdt0(xR,xS),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43816,c_6885]) ).
tcf(c_51067,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(global_subsumption_just,[status(thm)],[c_50349,c_8420,c_50349]) ).
tcf(c_51071,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2901]) ).
tcf(c_51072,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2900]) ).
tcf(c_51073,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2882]) ).
tcf(c_51074,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2881]) ).
tcf(c_51075,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2880]) ).
tcf(c_51076,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2831]) ).
tcf(c_51077,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2830]) ).
tcf(c_51078,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2829]) ).
tcf(c_51079,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2552]) ).
tcf(c_51080,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2551]) ).
tcf(c_51081,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2550]) ).
tcf(c_51082,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))))) = sz0z00,
inference(superposition,[status(thm)],[c_51067,c_3408]) ).
tcf(c_51083,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_51067,c_3369]) ).
tcf(c_51084,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2580]) ).
tcf(c_51085,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2520]) ).
tcf(c_51086,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2519]) ).
tcf(c_51087,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2518]) ).
tcf(c_51088,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2473]) ).
tcf(c_51089,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2472]) ).
tcf(c_51090,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2471]) ).
tcf(c_51091,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2452]) ).
tcf(c_51092,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2451]) ).
tcf(c_51093,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xS)),xN)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_2450]) ).
tcf(c_51094,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2425]) ).
tcf(c_51095,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2424]) ).
tcf(c_51096,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2423]) ).
tcf(c_51097,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_51067,c_2380]) ).
tcf(c_51098,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_51067,c_2372]) ).
tcf(c_51099,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1197]) ).
tcf(c_51100,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1199]) ).
tcf(c_51101,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1198]) ).
tcf(c_51102,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1203]) ).
tcf(c_51103,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1201]) ).
tcf(c_51104,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2367]) ).
tcf(c_51105,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1196]) ).
tcf(c_51106,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1195]) ).
tcf(c_51107,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xS)),xN),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51067,c_1194]) ).
tcf(c_51108,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xS)),xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sz0z00,
inference(superposition,[status(thm)],[c_51067,c_1206]) ).
tcf(c_51109,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)),sdtasdt0(smndt0(smndt0(xS)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_51067,c_1205]) ).
tcf(c_51110,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(smndt0(xS)),xN),
inference(superposition,[status(thm)],[c_51067,c_1204]) ).
tcf(c_51606,plain,
aScalar0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(global_subsumption_just,[status(thm)],[c_50803,c_7729,c_50803]) ).
tcf(c_51612,plain,
sdtasdt0(smndt0(smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2901]) ).
tcf(c_51613,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2900]) ).
tcf(c_51614,plain,
sdtasdt0(smndt0(smndt0(xR)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2882]) ).
tcf(c_51615,plain,
sdtasdt0(smndt0(smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2881]) ).
tcf(c_51616,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2880]) ).
tcf(c_51617,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2831]) ).
tcf(c_51618,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2830]) ).
tcf(c_51619,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2829]) ).
tcf(c_51620,plain,
sdtasdt0(smndt0(smndt0(xN)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2552]) ).
tcf(c_51621,plain,
sdtasdt0(smndt0(smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2551]) ).
tcf(c_51622,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2550]) ).
tcf(c_51623,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))))) = sz0z00,
inference(superposition,[status(thm)],[c_51606,c_3408]) ).
tcf(c_51624,plain,
sdtpldt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_51606,c_3369]) ).
tcf(c_51625,plain,
smndt0(smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))))) = smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2580]) ).
tcf(c_51626,plain,
sdtasdt0(smndt0(sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2520]) ).
tcf(c_51627,plain,
sdtasdt0(smndt0(sz0z00),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2519]) ).
tcf(c_51628,plain,
sdtasdt0(sz0z00,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(sz0z00,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2518]) ).
tcf(c_51629,plain,
sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2473]) ).
tcf(c_51630,plain,
sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2472]) ).
tcf(c_51631,plain,
sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2471]) ).
tcf(c_51632,plain,
sdtasdt0(smndt0(xN),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2452]) ).
tcf(c_51633,plain,
sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2451]) ).
tcf(c_51634,plain,
sdtasdt0(smndt0(xR),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = smndt0(sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_2450]) ).
tcf(c_51635,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(xN,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2425]) ).
tcf(c_51636,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(xS,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2424]) ).
tcf(c_51637,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(xR,sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2423]) ).
tcf(c_51638,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sz0z00,
inference(superposition,[status(thm)],[c_51606,c_2380]) ).
tcf(c_51639,plain,
sdtpldt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_51606,c_2372]) ).
tcf(c_51640,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0,X2_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X1_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X2_iProver_smndt0_0)),sdtpldt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X2_iProver_smndt0_0))) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0),sdtpldt0(X1_iProver_smndt0_0,X2_iProver_smndt0_0)) )
| ~ aScalar0(X2_iProver_smndt0_0)
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1197]) ).
tcf(c_51641,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0),sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X1_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1199]) ).
tcf(c_51642,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X1_iProver_smndt0_0),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) = sdtasdt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1198]) ).
tcf(c_51643,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1203]) ).
tcf(c_51644,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0),X1_iProver_smndt0_0) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1201]) ).
tcf(c_51645,plain,
smndt0(smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2367]) ).
tcf(c_51646,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),smndt0(X0_iProver_smndt0_0)) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1196]) ).
tcf(c_51647,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),X0_iProver_smndt0_0) = smndt0(sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1195]) ).
tcf(c_51648,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),smndt0(X0_iProver_smndt0_0)) = sdtasdt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),X0_iProver_smndt0_0) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_51606,c_1194]) ).
tcf(c_51649,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_51606,c_1206]) ).
tcf(c_51650,plain,
sdtpldt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)),sdtasdt0(smndt0(smndt0(xR)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_51606,c_1205]) ).
tcf(c_51651,plain,
smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(smndt0(xR)),sz0z00),
inference(superposition,[status(thm)],[c_51606,c_1204]) ).
tcf(c_51811,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xS,xR),xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_43917,c_6920]) ).
tcf(c_51812,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(sdtasdt0(xS,xR),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43917,c_6919]) ).
tcf(c_51829,plain,
sdtpldt0(sdtasdt0(sdtasdt0(xR,xS),xN),sdtasdt0(xN,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_43927,c_6920]) ).
tcf(c_51830,plain,
sdtpldt0(sdtasdt0(xN,smndt0(xN)),sdtasdt0(sdtasdt0(xR,xS),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_43927,c_6919]) ).
tcf(c_51858,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00),sdtasdt0(sz0z00,smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_43931,c_11454]) ).
tcf(c_51859,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(sz0z00)),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_43931,c_11453]) ).
tcf(c_51864,plain,
sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00) = sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_43931,c_11016]) ).
tcf(c_51865,plain,
smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)) = sdtasdt0(sz0z00,smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_43931,c_11455]) ).
tcf(c_51897,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xR,smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_43944,c_16859]) ).
tcf(c_51900,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(xS,smndt0(xR))) = sz0z00,
inference(superposition,[status(thm)],[c_43944,c_5605]) ).
tcf(c_51901,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(xS,smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_43944,c_9622]) ).
tcf(c_51902,plain,
sdtpldt0(sdtasdt0(xS,smndt0(xR)),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43944,c_5604]) ).
tcf(c_51903,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_43944,c_8082]) ).
tcf(c_51906,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(xS,smndt0(xR)),
inference(superposition,[status(thm)],[c_43944,c_5606]) ).
tcf(c_51932,plain,
sdtasdt0(smndt0(smndt0(xR)),xS) = sdtasdt0(smndt0(smndt0(xS)),xR),
inference(superposition,[status(thm)],[c_43945,c_47524]) ).
tcf(c_51935,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(smndt0(xS),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_43945,c_8445]) ).
tcf(c_51936,plain,
sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43945,c_8444]) ).
tcf(c_51937,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_43945,c_8394]) ).
tcf(c_51973,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xS),sdtasdt0(xR,smndt0(xS))) = sz0z00,
inference(superposition,[status(thm)],[c_43947,c_4397]) ).
tcf(c_51974,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xS)),sdtasdt0(smndt0(smndt0(xR)),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_43947,c_4396]) ).
tcf(c_51977,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)) = sdtasdt0(xR,smndt0(xS)),
inference(superposition,[status(thm)],[c_43947,c_4398]) ).
tcf(c_52003,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sz0z00)) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_2516,c_2902]) ).
tcf(c_52004,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xR)) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_1147,c_2902]) ).
tcf(c_52005,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xS)) = sdtasdt0(smndt0(xS),xS),
inference(superposition,[status(thm)],[c_1143,c_2902]) ).
tcf(c_52006,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(xN)) = sdtasdt0(smndt0(xS),xN),
inference(superposition,[status(thm)],[c_1141,c_2902]) ).
tcf(c_52007,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sz0z00))) = sdtasdt0(smndt0(xS),smndt0(sz0z00)),
inference(superposition,[status(thm)],[c_2821,c_2902]) ).
tcf(c_52008,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sz0z00)),
inference(superposition,[status(thm)],[c_11431,c_2902]) ).
tcf(c_52009,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(X0_iProver_smndt0_0))) = sdtasdt0(smndt0(xS),smndt0(X0_iProver_smndt0_0)) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_2902]) ).
tcf(c_52010,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(xS),sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_2902]) ).
tcf(c_52011,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = sdtasdt0(smndt0(xS),sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_2902]) ).
tcf(c_52012,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xR))) = sdtasdt0(smndt0(xS),smndt0(xR)),
inference(superposition,[status(thm)],[c_2873,c_2902]) ).
tcf(c_52013,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xS))) = sdtasdt0(smndt0(xS),smndt0(xS)),
inference(superposition,[status(thm)],[c_2893,c_2902]) ).
tcf(c_52014,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(xN))) = sdtasdt0(smndt0(xS),smndt0(xN)),
inference(superposition,[status(thm)],[c_2548,c_2902]) ).
tcf(c_52015,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,xS)),
inference(superposition,[status(thm)],[c_16096,c_2902]) ).
tcf(c_52017,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xN)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_3042,c_2902]) ).
tcf(c_52018,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,xR)),
inference(superposition,[status(thm)],[c_3851,c_2902]) ).
tcf(c_52019,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_3099,c_2902]) ).
tcf(c_52020,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(xR))),
inference(superposition,[status(thm)],[c_3183,c_2902]) ).
tcf(c_52021,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xS),smndt0(smndt0(xS))),
inference(superposition,[status(thm)],[c_3265,c_2902]) ).
tcf(c_52022,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_3604,c_2902]) ).
tcf(c_52023,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_3671,c_2902]) ).
tcf(c_52024,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_3735,c_2902]) ).
tcf(c_52025,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_3782,c_2902]) ).
tcf(c_52026,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xR)),
inference(superposition,[status(thm)],[c_8392,c_2902]) ).
tcf(c_52027,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xS))),
inference(superposition,[status(thm)],[c_16094,c_2902]) ).
tcf(c_52028,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_3940,c_2902]) ).
tcf(c_52029,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_4012,c_2902]) ).
tcf(c_52030,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,xN)),
inference(superposition,[status(thm)],[c_4110,c_2902]) ).
tcf(c_52031,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xR))),
inference(superposition,[status(thm)],[c_4622,c_2902]) ).
tcf(c_52032,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sz0z00))),
inference(superposition,[status(thm)],[c_4735,c_2902]) ).
tcf(c_52033,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_4205,c_2902]) ).
tcf(c_52034,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xR))),
inference(superposition,[status(thm)],[c_4280,c_2902]) ).
tcf(c_52035,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xS))),
inference(superposition,[status(thm)],[c_4381,c_2902]) ).
tcf(c_52036,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_4802,c_2902]) ).
tcf(c_52037,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(xN))),
inference(superposition,[status(thm)],[c_4478,c_2902]) ).
tcf(c_52038,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xR,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,xN))),
inference(superposition,[status(thm)],[c_4894,c_2902]) ).
tcf(c_52039,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_5104,c_2902]) ).
tcf(c_52040,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,xN)),
inference(superposition,[status(thm)],[c_5347,c_2902]) ).
tcf(c_52041,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,sz0z00)),
inference(superposition,[status(thm)],[c_5244,c_2902]) ).
tcf(c_52042,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_5863,c_2902]) ).
tcf(c_52043,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sz0z00))),
inference(superposition,[status(thm)],[c_5919,c_2902]) ).
tcf(c_52044,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_5493,c_2902]) ).
tcf(c_52045,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xN))),
inference(superposition,[status(thm)],[c_5983,c_2902]) ).
tcf(c_52046,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xR))),
inference(superposition,[status(thm)],[c_5588,c_2902]) ).
tcf(c_52047,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xS))),
inference(superposition,[status(thm)],[c_5668,c_2902]) ).
tcf(c_52048,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(xN))),
inference(superposition,[status(thm)],[c_5764,c_2902]) ).
tcf(c_52049,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,sz0z00)),
inference(superposition,[status(thm)],[c_6303,c_2902]) ).
tcf(c_52050,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,xR)),
inference(superposition,[status(thm)],[c_6411,c_2902]) ).
tcf(c_52051,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,xS)),
inference(superposition,[status(thm)],[c_6500,c_2902]) ).
tcf(c_52052,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,xN)),
inference(superposition,[status(thm)],[c_6219,c_2902]) ).
tcf(c_52053,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xN))),
inference(superposition,[status(thm)],[c_6969,c_2902]) ).
tcf(c_52054,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sz0z00))),
inference(superposition,[status(thm)],[c_7187,c_2902]) ).
tcf(c_52055,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_6582,c_2902]) ).
tcf(c_52056,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xR))),
inference(superposition,[status(thm)],[c_6689,c_2902]) ).
tcf(c_52057,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xR))),
inference(superposition,[status(thm)],[c_7222,c_2902]) ).
tcf(c_52058,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xS))),
inference(superposition,[status(thm)],[c_6869,c_2902]) ).
tcf(c_52059,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(xN))),
inference(superposition,[status(thm)],[c_6903,c_2902]) ).
tcf(c_52060,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xN,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,xS))),
inference(superposition,[status(thm)],[c_7625,c_2902]) ).
tcf(c_52061,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_7451,c_2902]) ).
tcf(c_52062,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_7459,c_2902]) ).
tcf(c_52063,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),sz0z00)),
inference(superposition,[status(thm)],[c_7729,c_2902]) ).
tcf(c_52064,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),xN)),
inference(superposition,[status(thm)],[c_7879,c_2902]) ).
tcf(c_52065,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xS)),
inference(superposition,[status(thm)],[c_8971,c_2902]) ).
tcf(c_52066,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),xN)),
inference(superposition,[status(thm)],[c_8420,c_2902]) ).
tcf(c_52067,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),sz0z00)),
inference(superposition,[status(thm)],[c_8782,c_2902]) ).
tcf(c_52068,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xR)),
inference(superposition,[status(thm)],[c_9272,c_2902]) ).
tcf(c_52069,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xS)),
inference(superposition,[status(thm)],[c_9418,c_2902]) ).
tcf(c_52070,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),xN)),
inference(superposition,[status(thm)],[c_9425,c_2902]) ).
tcf(c_52071,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),sz0z00)),
inference(superposition,[status(thm)],[c_10156,c_2902]) ).
tcf(c_52072,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_11429,c_2902]) ).
tcf(c_52073,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xR))),
inference(superposition,[status(thm)],[c_13649,c_2902]) ).
tcf(c_52075,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xR))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xR)),
inference(superposition,[status(thm)],[c_12971,c_2902]) ).
tcf(c_52076,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xS))),
inference(superposition,[status(thm)],[c_13750,c_2902]) ).
tcf(c_52078,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xS))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xS)),
inference(superposition,[status(thm)],[c_13185,c_2902]) ).
tcf(c_52079,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(xN))),
inference(superposition,[status(thm)],[c_13832,c_2902]) ).
tcf(c_52081,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,xN))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,xN)),
inference(superposition,[status(thm)],[c_13401,c_2902]) ).
tcf(c_52082,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sz0z00))),
inference(superposition,[status(thm)],[c_19762,c_2902]) ).
tcf(c_52083,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_12426,c_2902]) ).
tcf(c_52084,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xR)),
inference(superposition,[status(thm)],[c_20369,c_2902]) ).
tcf(c_52086,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xS)),
inference(superposition,[status(thm)],[c_20439,c_2902]) ).
tcf(c_52088,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),xN)),
inference(superposition,[status(thm)],[c_20856,c_2902]) ).
tcf(c_52090,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xR))),
inference(superposition,[status(thm)],[c_19884,c_2902]) ).
tcf(c_52091,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xS))),
inference(superposition,[status(thm)],[c_19973,c_2902]) ).
tcf(c_52092,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,xN))),
inference(superposition,[status(thm)],[c_20854,c_2902]) ).
tcf(c_52093,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_14842,c_2902]) ).
tcf(c_52094,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xR))),
inference(superposition,[status(thm)],[c_14952,c_2902]) ).
tcf(c_52095,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xS))),
inference(superposition,[status(thm)],[c_15126,c_2902]) ).
tcf(c_52096,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xR),smndt0(xN))),
inference(superposition,[status(thm)],[c_15231,c_2902]) ).
tcf(c_52097,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_15405,c_2902]) ).
tcf(c_52098,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xR))),
inference(superposition,[status(thm)],[c_15767,c_2902]) ).
tcf(c_52099,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xS),smndt0(xN))),
inference(superposition,[status(thm)],[c_16401,c_2902]) ).
tcf(c_52100,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(smndt0(sdtasdt0(xS,xS)))) = sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,xS))),
inference(superposition,[status(thm)],[c_22161,c_2902]) ).
tcf(c_52101,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_16515,c_2902]) ).
tcf(c_52102,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xR))),
inference(superposition,[status(thm)],[c_16615,c_2902]) ).
tcf(c_52103,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xS))),
inference(superposition,[status(thm)],[c_16940,c_2902]) ).
tcf(c_52104,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(xN),smndt0(xN))),
inference(superposition,[status(thm)],[c_17203,c_2902]) ).
tcf(c_52105,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17317,c_2902]) ).
tcf(c_52106,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_17414,c_2902]) ).
tcf(c_52107,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_17724,c_2902]) ).
tcf(c_52108,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_17826,c_2902]) ).
tcf(c_52109,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_17923,c_2902]) ).
tcf(c_52110,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_18096,c_2902]) ).
tcf(c_52111,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_17829,c_2902]) ).
tcf(c_52112,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xR,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_17830,c_2902]) ).
tcf(c_52113,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_18524,c_2902]) ).
tcf(c_52114,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_18621,c_2902]) ).
tcf(c_52115,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_18721,c_2902]) ).
tcf(c_52116,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_18624,c_2902]) ).
tcf(c_52117,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xS,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_18625,c_2902]) ).
tcf(c_52118,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19099,c_2902]) ).
tcf(c_52119,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19214,c_2902]) ).
tcf(c_52120,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_19285,c_2902]) ).
tcf(c_52121,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_19404,c_2902]) ).
tcf(c_52122,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_19288,c_2902]) ).
tcf(c_52123,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(xN,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_19289,c_2902]) ).
tcf(c_52124,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xR)))),
inference(superposition,[status(thm)],[c_19882,c_2902]) ).
tcf(c_52125,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xS)))),
inference(superposition,[status(thm)],[c_19971,c_2902]) ).
tcf(c_52126,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,smndt0(smndt0(xN)))),
inference(superposition,[status(thm)],[c_20310,c_2902]) ).
tcf(c_52127,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xS,xR))),
inference(superposition,[status(thm)],[c_20312,c_2902]) ).
tcf(c_52128,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(sz0z00,sdtasdt0(xR,xS))),
inference(superposition,[status(thm)],[c_20313,c_2902]) ).
tcf(c_52129,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))),
inference(superposition,[status(thm)],[c_21266,c_2902]) ).
tcf(c_52130,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xR))),
inference(superposition,[status(thm)],[c_21380,c_2902]) ).
tcf(c_52131,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xS))),
inference(superposition,[status(thm)],[c_21524,c_2902]) ).
tcf(c_52132,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(sz0z00),smndt0(xN))),
inference(superposition,[status(thm)],[c_21564,c_2902]) ).
tcf(c_52133,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xR)),
inference(superposition,[status(thm)],[c_29027,c_2902]) ).
tcf(c_52134,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xS)),
inference(superposition,[status(thm)],[c_30482,c_2902]) ).
tcf(c_52135,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),xN)),
inference(superposition,[status(thm)],[c_31662,c_2902]) ).
tcf(c_52136,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xR)),
inference(superposition,[status(thm)],[c_29030,c_2902]) ).
tcf(c_52137,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xR)),
inference(superposition,[status(thm)],[c_29031,c_2902]) ).
tcf(c_52138,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xS)),
inference(superposition,[status(thm)],[c_30485,c_2902]) ).
tcf(c_52139,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xS)),
inference(superposition,[status(thm)],[c_30486,c_2902]) ).
tcf(c_52140,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),xN)),
inference(superposition,[status(thm)],[c_31665,c_2902]) ).
tcf(c_52141,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),xN)),
inference(superposition,[status(thm)],[c_31666,c_2902]) ).
tcf(c_52142,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xN)),sz0z00)),
inference(superposition,[status(thm)],[c_34851,c_2902]) ).
tcf(c_52143,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xS,xR),sz0z00)),
inference(superposition,[status(thm)],[c_34857,c_2902]) ).
tcf(c_52144,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(sdtasdt0(xR,xS),sz0z00)),
inference(superposition,[status(thm)],[c_34858,c_2902]) ).
tcf(c_52145,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xR)),
inference(superposition,[status(thm)],[c_39283,c_2902]) ).
tcf(c_52146,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xS)),
inference(superposition,[status(thm)],[c_39452,c_2902]) ).
tcf(c_52147,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),xN)),
inference(superposition,[status(thm)],[c_39712,c_2902]) ).
tcf(c_52148,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xR)),
inference(superposition,[status(thm)],[c_44215,c_2902]) ).
tcf(c_52149,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)),
inference(superposition,[status(thm)],[c_44537,c_2902]) ).
tcf(c_52150,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xS)),
inference(superposition,[status(thm)],[c_45138,c_2902]) ).
tcf(c_52151,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),xN)),
inference(superposition,[status(thm)],[c_45189,c_2902]) ).
tcf(c_52152,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xR)),
inference(superposition,[status(thm)],[c_50379,c_2902]) ).
tcf(c_52153,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xS)),
inference(superposition,[status(thm)],[c_50590,c_2902]) ).
tcf(c_52154,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xS)),xN)),
inference(superposition,[status(thm)],[c_51067,c_2902]) ).
tcf(c_52155,plain,
sdtasdt0(smndt0(smndt0(xS)),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = sdtasdt0(smndt0(xS),sdtasdt0(smndt0(smndt0(xR)),sz0z00)),
inference(superposition,[status(thm)],[c_51606,c_2902]) ).
tcf(c_52807,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,sdtasdt0(xR,xS)),
inference(superposition,[status(thm)],[c_44208,c_25542]) ).
tcf(c_52808,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,sdtasdt0(xS,xR)),
inference(superposition,[status(thm)],[c_44208,c_25538]) ).
tcf(c_52809,plain,
sdtasdt0(smndt0(smndt0(xR)),xN) = sdtasdt0(xR,smndt0(smndt0(xN))),
inference(superposition,[status(thm)],[c_44208,c_9441]) ).
tcf(c_52811,plain,
sdtpldt0(sdtasdt0(smndt0(smndt0(xR)),xN),sdtasdt0(xR,smndt0(xN))) = sz0z00,
inference(superposition,[status(thm)],[c_44208,c_4493]) ).
tcf(c_52812,plain,
sdtpldt0(sdtasdt0(xR,smndt0(xN)),sdtasdt0(smndt0(smndt0(xR)),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_44208,c_4492]) ).
tcf(c_52814,plain,
smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)) = sdtasdt0(xR,smndt0(xN)),
inference(superposition,[status(thm)],[c_44208,c_4494]) ).
tcf(c_52974,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = sdtasdt0(xR,smndt0(smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_3515]) ).
tcf(c_52975,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sdtasdt0(xR,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_3515]) ).
tcf(c_52976,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sdtasdt0(xR,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_3515]) ).
tcf(c_52987,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_3515]) ).
tcf(c_52988,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_3515]) ).
tcf(c_52989,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_3515]) ).
tcf(c_52990,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_3515]) ).
tcf(c_52991,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_3515]) ).
tcf(c_52992,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_3515]) ).
tcf(c_52996,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_3515]) ).
tcf(c_52997,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_3515]) ).
tcf(c_52998,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_3515]) ).
tcf(c_52999,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_3515]) ).
tcf(c_53000,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_3515]) ).
tcf(c_53001,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_3515]) ).
tcf(c_53002,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_3515]) ).
tcf(c_53003,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_3515]) ).
tcf(c_53007,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_3515]) ).
tcf(c_53008,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_3515]) ).
tcf(c_53009,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_3515]) ).
tcf(c_53010,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_3515]) ).
tcf(c_53011,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_3515]) ).
tcf(c_53012,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_3515]) ).
tcf(c_53013,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_3515]) ).
tcf(c_53018,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_3515]) ).
tcf(c_53019,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_3515]) ).
tcf(c_53020,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_3515]) ).
tcf(c_53021,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_3515]) ).
tcf(c_53022,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_3515]) ).
tcf(c_53023,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_3515]) ).
tcf(c_53024,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_3515]) ).
tcf(c_53025,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_3515]) ).
tcf(c_53026,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_3515]) ).
tcf(c_53027,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_3515]) ).
tcf(c_53028,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_3515]) ).
tcf(c_53029,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_3515]) ).
tcf(c_53030,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_3515]) ).
tcf(c_53031,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_3515]) ).
tcf(c_53032,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_3515]) ).
tcf(c_53033,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_3515]) ).
tcf(c_53034,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_3515]) ).
tcf(c_53035,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_3515]) ).
tcf(c_53036,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_3515]) ).
tcf(c_53037,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_3515]) ).
tcf(c_53038,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_3515]) ).
tcf(c_53041,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_3515]) ).
tcf(c_53044,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_3515]) ).
tcf(c_53047,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_3515]) ).
tcf(c_53048,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_3515]) ).
tcf(c_53049,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_3515]) ).
tcf(c_53051,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_3515]) ).
tcf(c_53053,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_3515]) ).
tcf(c_53055,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_3515]) ).
tcf(c_53056,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_3515]) ).
tcf(c_53057,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_3515]) ).
tcf(c_53058,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_3515]) ).
tcf(c_53059,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_3515]) ).
tcf(c_53060,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_3515]) ).
tcf(c_53061,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_3515]) ).
tcf(c_53062,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_3515]) ).
tcf(c_53063,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_3515]) ).
tcf(c_53064,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_3515]) ).
tcf(c_53065,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_3515]) ).
tcf(c_53066,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_3515]) ).
tcf(c_53067,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_3515]) ).
tcf(c_53068,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_3515]) ).
tcf(c_53069,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_3515]) ).
tcf(c_53070,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_3515]) ).
tcf(c_53071,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_3515]) ).
tcf(c_53072,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_3515]) ).
tcf(c_53073,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_3515]) ).
tcf(c_53074,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_3515]) ).
tcf(c_53075,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_3515]) ).
tcf(c_53076,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_3515]) ).
tcf(c_53077,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_3515]) ).
tcf(c_53078,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_3515]) ).
tcf(c_53079,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_3515]) ).
tcf(c_53080,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_3515]) ).
tcf(c_53081,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_3515]) ).
tcf(c_53082,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_3515]) ).
tcf(c_53083,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_3515]) ).
tcf(c_53084,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_3515]) ).
tcf(c_53085,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_3515]) ).
tcf(c_53086,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_3515]) ).
tcf(c_53087,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_3515]) ).
tcf(c_53088,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_3515]) ).
tcf(c_53089,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_3515]) ).
tcf(c_53090,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_3515]) ).
tcf(c_53091,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_3515]) ).
tcf(c_53092,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_3515]) ).
tcf(c_53093,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_3515]) ).
tcf(c_53094,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_3515]) ).
tcf(c_53095,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_3515]) ).
tcf(c_53096,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_3515]) ).
tcf(c_53097,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_3515]) ).
tcf(c_53098,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_3515]) ).
tcf(c_53099,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_3515]) ).
tcf(c_53100,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_3515]) ).
tcf(c_53101,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_3515]) ).
tcf(c_53102,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_3515]) ).
tcf(c_53103,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_3515]) ).
tcf(c_53104,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_3515]) ).
tcf(c_53105,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_3515]) ).
tcf(c_53106,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_3515]) ).
tcf(c_53107,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_3515]) ).
tcf(c_53108,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_3515]) ).
tcf(c_53109,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_3515]) ).
tcf(c_53110,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_3515]) ).
tcf(c_53111,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_3515]) ).
tcf(c_53112,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_3515]) ).
tcf(c_53113,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_3515]) ).
tcf(c_53114,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_3515]) ).
tcf(c_53115,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_3515]) ).
tcf(c_53116,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_3515]) ).
tcf(c_53117,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_3515]) ).
tcf(c_53118,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_3515]) ).
tcf(c_53119,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_3515]) ).
tcf(c_53120,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_3515]) ).
tcf(c_53984,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = sdtasdt0(xS,smndt0(smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_4958]) ).
tcf(c_53985,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sdtasdt0(xS,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_4958]) ).
tcf(c_53986,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sdtasdt0(xS,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_4958]) ).
tcf(c_53997,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_4958]) ).
tcf(c_53998,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_4958]) ).
tcf(c_53999,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_4958]) ).
tcf(c_54000,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_4958]) ).
tcf(c_54001,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_4958]) ).
tcf(c_54002,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_4958]) ).
tcf(c_54006,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_4958]) ).
tcf(c_54007,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_4958]) ).
tcf(c_54008,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_4958]) ).
tcf(c_54009,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_4958]) ).
tcf(c_54010,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_4958]) ).
tcf(c_54011,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_4958]) ).
tcf(c_54012,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_4958]) ).
tcf(c_54013,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_4958]) ).
tcf(c_54017,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_4958]) ).
tcf(c_54018,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_4958]) ).
tcf(c_54019,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_4958]) ).
tcf(c_54020,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_4958]) ).
tcf(c_54021,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_4958]) ).
tcf(c_54022,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_4958]) ).
tcf(c_54023,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_4958]) ).
tcf(c_54028,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_4958]) ).
tcf(c_54029,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_4958]) ).
tcf(c_54030,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_4958]) ).
tcf(c_54031,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_4958]) ).
tcf(c_54032,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_4958]) ).
tcf(c_54033,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_4958]) ).
tcf(c_54034,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_4958]) ).
tcf(c_54035,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_4958]) ).
tcf(c_54036,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_4958]) ).
tcf(c_54037,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_4958]) ).
tcf(c_54038,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_4958]) ).
tcf(c_54039,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_4958]) ).
tcf(c_54040,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_4958]) ).
tcf(c_54041,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_4958]) ).
tcf(c_54042,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_4958]) ).
tcf(c_54043,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_4958]) ).
tcf(c_54044,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_4958]) ).
tcf(c_54045,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_4958]) ).
tcf(c_54046,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_4958]) ).
tcf(c_54047,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_4958]) ).
tcf(c_54048,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_4958]) ).
tcf(c_54051,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_4958]) ).
tcf(c_54054,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_4958]) ).
tcf(c_54057,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_4958]) ).
tcf(c_54058,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_4958]) ).
tcf(c_54059,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_4958]) ).
tcf(c_54061,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_4958]) ).
tcf(c_54063,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_4958]) ).
tcf(c_54065,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_4958]) ).
tcf(c_54066,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_4958]) ).
tcf(c_54067,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_4958]) ).
tcf(c_54068,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_4958]) ).
tcf(c_54069,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_4958]) ).
tcf(c_54070,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_4958]) ).
tcf(c_54071,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_4958]) ).
tcf(c_54072,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_4958]) ).
tcf(c_54073,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_4958]) ).
tcf(c_54074,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_4958]) ).
tcf(c_54075,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_4958]) ).
tcf(c_54076,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_4958]) ).
tcf(c_54077,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_4958]) ).
tcf(c_54078,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_4958]) ).
tcf(c_54079,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_4958]) ).
tcf(c_54080,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_4958]) ).
tcf(c_54081,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_4958]) ).
tcf(c_54082,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_4958]) ).
tcf(c_54083,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_4958]) ).
tcf(c_54084,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_4958]) ).
tcf(c_54085,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_4958]) ).
tcf(c_54086,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_4958]) ).
tcf(c_54087,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_4958]) ).
tcf(c_54088,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_4958]) ).
tcf(c_54089,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_4958]) ).
tcf(c_54090,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_4958]) ).
tcf(c_54091,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_4958]) ).
tcf(c_54092,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_4958]) ).
tcf(c_54093,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_4958]) ).
tcf(c_54094,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_4958]) ).
tcf(c_54095,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_4958]) ).
tcf(c_54096,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_4958]) ).
tcf(c_54097,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_4958]) ).
tcf(c_54098,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_4958]) ).
tcf(c_54099,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_4958]) ).
tcf(c_54100,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_4958]) ).
tcf(c_54101,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_4958]) ).
tcf(c_54102,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_4958]) ).
tcf(c_54103,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_4958]) ).
tcf(c_54104,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_4958]) ).
tcf(c_54105,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_4958]) ).
tcf(c_54106,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_4958]) ).
tcf(c_54107,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_4958]) ).
tcf(c_54108,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_4958]) ).
tcf(c_54109,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_4958]) ).
tcf(c_54110,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_4958]) ).
tcf(c_54111,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_4958]) ).
tcf(c_54112,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_4958]) ).
tcf(c_54113,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_4958]) ).
tcf(c_54114,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_4958]) ).
tcf(c_54115,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_4958]) ).
tcf(c_54116,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_4958]) ).
tcf(c_54117,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_4958]) ).
tcf(c_54118,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_4958]) ).
tcf(c_54119,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_4958]) ).
tcf(c_54120,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_4958]) ).
tcf(c_54121,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_4958]) ).
tcf(c_54122,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_4958]) ).
tcf(c_54123,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_4958]) ).
tcf(c_54124,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_4958]) ).
tcf(c_54125,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_4958]) ).
tcf(c_54126,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_4958]) ).
tcf(c_54127,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_4958]) ).
tcf(c_54128,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_4958]) ).
tcf(c_54129,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_4958]) ).
tcf(c_54130,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_4958]) ).
tcf(c_54355,plain,
sdtasdt0(smndt0(smndt0(xR)),sz0z00) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_1131,c_45895]) ).
tcf(c_54375,plain,
sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))) = smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)),
inference(superposition,[status(thm)],[c_46677,c_19434]) ).
tcf(c_54412,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))),sdtasdt0(smndt0(sz0z00),xR)) = sz0z00,
inference(superposition,[status(thm)],[c_46744,c_20545]) ).
tcf(c_54413,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xR),sdtasdt0(sz0z00,smndt0(smndt0(xR)))) = sz0z00,
inference(superposition,[status(thm)],[c_46744,c_20544]) ).
tcf(c_54418,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_16805,c_46775]) ).
tcf(c_54421,plain,
smndt0(smndt0(sdtasdt0(xR,sz0z00))) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_14795,c_46775]) ).
tcf(c_54423,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = sdtasdt0(smndt0(xR),sz0z00),
inference(superposition,[status(thm)],[c_1131,c_46775]) ).
tcf(c_54436,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_54423,c_7757]) ).
tcf(c_54446,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = sdtasdt0(xN,smndt0(smndt0(X0_iProver_smndt0_0))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_6068]) ).
tcf(c_54447,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sdtasdt0(xN,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_6068]) ).
tcf(c_54448,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = sdtasdt0(xN,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_6068]) ).
tcf(c_54459,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_3604,c_6068]) ).
tcf(c_54460,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_3671,c_6068]) ).
tcf(c_54461,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_3735,c_6068]) ).
tcf(c_54462,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_3782,c_6068]) ).
tcf(c_54463,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xR))),
inference(superposition,[status(thm)],[c_8392,c_6068]) ).
tcf(c_54464,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16094,c_6068]) ).
tcf(c_54468,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xR)))),
inference(superposition,[status(thm)],[c_4622,c_6068]) ).
tcf(c_54469,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,sz0z00)))),
inference(superposition,[status(thm)],[c_4735,c_6068]) ).
tcf(c_54470,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_4205,c_6068]) ).
tcf(c_54471,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xR)))),
inference(superposition,[status(thm)],[c_4280,c_6068]) ).
tcf(c_54472,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xS)))),
inference(superposition,[status(thm)],[c_4381,c_6068]) ).
tcf(c_54473,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_4802,c_6068]) ).
tcf(c_54474,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xN)))),
inference(superposition,[status(thm)],[c_4478,c_6068]) ).
tcf(c_54475,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xN)))),
inference(superposition,[status(thm)],[c_4894,c_6068]) ).
tcf(c_54479,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_5863,c_6068]) ).
tcf(c_54480,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,sz0z00)))),
inference(superposition,[status(thm)],[c_5919,c_6068]) ).
tcf(c_54481,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_5493,c_6068]) ).
tcf(c_54482,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xN)))),
inference(superposition,[status(thm)],[c_5983,c_6068]) ).
tcf(c_54483,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xR)))),
inference(superposition,[status(thm)],[c_5588,c_6068]) ).
tcf(c_54484,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xS)))),
inference(superposition,[status(thm)],[c_5668,c_6068]) ).
tcf(c_54485,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xN)))),
inference(superposition,[status(thm)],[c_5764,c_6068]) ).
tcf(c_54490,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xN)))),
inference(superposition,[status(thm)],[c_6969,c_6068]) ).
tcf(c_54491,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,sz0z00)))),
inference(superposition,[status(thm)],[c_7187,c_6068]) ).
tcf(c_54492,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_6582,c_6068]) ).
tcf(c_54493,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xR)))),
inference(superposition,[status(thm)],[c_6689,c_6068]) ).
tcf(c_54494,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xR)))),
inference(superposition,[status(thm)],[c_7222,c_6068]) ).
tcf(c_54495,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xS)))),
inference(superposition,[status(thm)],[c_6869,c_6068]) ).
tcf(c_54496,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xN)))),
inference(superposition,[status(thm)],[c_6903,c_6068]) ).
tcf(c_54497,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xS)))),
inference(superposition,[status(thm)],[c_7625,c_6068]) ).
tcf(c_54498,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xR))),
inference(superposition,[status(thm)],[c_7451,c_6068]) ).
tcf(c_54499,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xS))),
inference(superposition,[status(thm)],[c_7459,c_6068]) ).
tcf(c_54500,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),sz0z00))),
inference(superposition,[status(thm)],[c_7729,c_6068]) ).
tcf(c_54501,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xN))),
inference(superposition,[status(thm)],[c_7879,c_6068]) ).
tcf(c_54502,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xS))),
inference(superposition,[status(thm)],[c_8971,c_6068]) ).
tcf(c_54503,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xN))),
inference(superposition,[status(thm)],[c_8420,c_6068]) ).
tcf(c_54504,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),sz0z00))),
inference(superposition,[status(thm)],[c_8782,c_6068]) ).
tcf(c_54505,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xR))),
inference(superposition,[status(thm)],[c_9272,c_6068]) ).
tcf(c_54506,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xS))),
inference(superposition,[status(thm)],[c_9418,c_6068]) ).
tcf(c_54507,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xN))),
inference(superposition,[status(thm)],[c_9425,c_6068]) ).
tcf(c_54508,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),sz0z00))),
inference(superposition,[status(thm)],[c_10156,c_6068]) ).
tcf(c_54509,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_11429,c_6068]) ).
tcf(c_54510,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR)))),
inference(superposition,[status(thm)],[c_13649,c_6068]) ).
tcf(c_54513,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS)))),
inference(superposition,[status(thm)],[c_13750,c_6068]) ).
tcf(c_54516,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN)))),
inference(superposition,[status(thm)],[c_13832,c_6068]) ).
tcf(c_54519,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))),
inference(superposition,[status(thm)],[c_19762,c_6068]) ).
tcf(c_54520,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))),
inference(superposition,[status(thm)],[c_12426,c_6068]) ).
tcf(c_54521,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR))),
inference(superposition,[status(thm)],[c_20369,c_6068]) ).
tcf(c_54523,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS))),
inference(superposition,[status(thm)],[c_20439,c_6068]) ).
tcf(c_54525,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN))),
inference(superposition,[status(thm)],[c_20856,c_6068]) ).
tcf(c_54527,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xR)))),
inference(superposition,[status(thm)],[c_19884,c_6068]) ).
tcf(c_54528,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xS)))),
inference(superposition,[status(thm)],[c_19973,c_6068]) ).
tcf(c_54529,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xN)))),
inference(superposition,[status(thm)],[c_20854,c_6068]) ).
tcf(c_54530,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_14842,c_6068]) ).
tcf(c_54531,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))),
inference(superposition,[status(thm)],[c_14952,c_6068]) ).
tcf(c_54532,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))),
inference(superposition,[status(thm)],[c_15126,c_6068]) ).
tcf(c_54533,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))),
inference(superposition,[status(thm)],[c_15231,c_6068]) ).
tcf(c_54534,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_15405,c_6068]) ).
tcf(c_54535,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))),
inference(superposition,[status(thm)],[c_15767,c_6068]) ).
tcf(c_54536,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))),
inference(superposition,[status(thm)],[c_16401,c_6068]) ).
tcf(c_54537,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xS)))),
inference(superposition,[status(thm)],[c_22161,c_6068]) ).
tcf(c_54538,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_16515,c_6068]) ).
tcf(c_54539,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))),
inference(superposition,[status(thm)],[c_16615,c_6068]) ).
tcf(c_54540,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))),
inference(superposition,[status(thm)],[c_16940,c_6068]) ).
tcf(c_54541,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))),
inference(superposition,[status(thm)],[c_17203,c_6068]) ).
tcf(c_54542,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17317,c_6068]) ).
tcf(c_54543,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_17414,c_6068]) ).
tcf(c_54544,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_17724,c_6068]) ).
tcf(c_54545,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_17826,c_6068]) ).
tcf(c_54546,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_17923,c_6068]) ).
tcf(c_54547,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_18096,c_6068]) ).
tcf(c_54548,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_17829,c_6068]) ).
tcf(c_54549,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_17830,c_6068]) ).
tcf(c_54550,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_18524,c_6068]) ).
tcf(c_54551,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_18621,c_6068]) ).
tcf(c_54552,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_18721,c_6068]) ).
tcf(c_54553,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_18624,c_6068]) ).
tcf(c_54554,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_18625,c_6068]) ).
tcf(c_54555,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19099,c_6068]) ).
tcf(c_54556,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19214,c_6068]) ).
tcf(c_54557,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_19285,c_6068]) ).
tcf(c_54558,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_19404,c_6068]) ).
tcf(c_54559,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_19288,c_6068]) ).
tcf(c_54560,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_19289,c_6068]) ).
tcf(c_54561,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))),
inference(superposition,[status(thm)],[c_19882,c_6068]) ).
tcf(c_54562,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))),
inference(superposition,[status(thm)],[c_19971,c_6068]) ).
tcf(c_54563,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))),
inference(superposition,[status(thm)],[c_20310,c_6068]) ).
tcf(c_54564,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))),
inference(superposition,[status(thm)],[c_20312,c_6068]) ).
tcf(c_54565,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))),
inference(superposition,[status(thm)],[c_20313,c_6068]) ).
tcf(c_54566,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))),
inference(superposition,[status(thm)],[c_21266,c_6068]) ).
tcf(c_54567,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))),
inference(superposition,[status(thm)],[c_21380,c_6068]) ).
tcf(c_54568,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))),
inference(superposition,[status(thm)],[c_21524,c_6068]) ).
tcf(c_54569,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))),
inference(superposition,[status(thm)],[c_21564,c_6068]) ).
tcf(c_54570,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))),
inference(superposition,[status(thm)],[c_29027,c_6068]) ).
tcf(c_54571,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))),
inference(superposition,[status(thm)],[c_30482,c_6068]) ).
tcf(c_54572,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))),
inference(superposition,[status(thm)],[c_31662,c_6068]) ).
tcf(c_54573,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))),
inference(superposition,[status(thm)],[c_29030,c_6068]) ).
tcf(c_54574,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))),
inference(superposition,[status(thm)],[c_29031,c_6068]) ).
tcf(c_54575,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))),
inference(superposition,[status(thm)],[c_30485,c_6068]) ).
tcf(c_54576,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))),
inference(superposition,[status(thm)],[c_30486,c_6068]) ).
tcf(c_54577,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))),
inference(superposition,[status(thm)],[c_31665,c_6068]) ).
tcf(c_54578,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))),
inference(superposition,[status(thm)],[c_31666,c_6068]) ).
tcf(c_54579,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))),
inference(superposition,[status(thm)],[c_34851,c_6068]) ).
tcf(c_54580,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))),
inference(superposition,[status(thm)],[c_34857,c_6068]) ).
tcf(c_54581,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))),
inference(superposition,[status(thm)],[c_34858,c_6068]) ).
tcf(c_54582,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))),
inference(superposition,[status(thm)],[c_39283,c_6068]) ).
tcf(c_54583,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))),
inference(superposition,[status(thm)],[c_39452,c_6068]) ).
tcf(c_54584,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))),
inference(superposition,[status(thm)],[c_39712,c_6068]) ).
tcf(c_54585,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))),
inference(superposition,[status(thm)],[c_44215,c_6068]) ).
tcf(c_54586,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))),
inference(superposition,[status(thm)],[c_44537,c_6068]) ).
tcf(c_54587,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))),
inference(superposition,[status(thm)],[c_45138,c_6068]) ).
tcf(c_54588,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))),
inference(superposition,[status(thm)],[c_45189,c_6068]) ).
tcf(c_54589,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))),
inference(superposition,[status(thm)],[c_50379,c_6068]) ).
tcf(c_54590,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))),
inference(superposition,[status(thm)],[c_50590,c_6068]) ).
tcf(c_54591,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))),
inference(superposition,[status(thm)],[c_51067,c_6068]) ).
tcf(c_54592,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))),
inference(superposition,[status(thm)],[c_51606,c_6068]) ).
tcf(c_55047,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(xR,smndt0(smndt0(X0_iProver_smndt0_0)))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_7276]) ).
tcf(c_55048,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_7276]) ).
tcf(c_55049,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xR),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xR,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_7276]) ).
tcf(c_55060,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3604,c_7276]) ).
tcf(c_55061,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3671,c_7276]) ).
tcf(c_55062,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3735,c_7276]) ).
tcf(c_55063,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3782,c_7276]) ).
tcf(c_55064,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8392,c_7276]) ).
tcf(c_55065,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16094,c_7276]) ).
tcf(c_55069,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4622,c_7276]) ).
tcf(c_55070,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4735,c_7276]) ).
tcf(c_55071,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4205,c_7276]) ).
tcf(c_55072,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4280,c_7276]) ).
tcf(c_55073,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4381,c_7276]) ).
tcf(c_55074,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4802,c_7276]) ).
tcf(c_55075,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4478,c_7276]) ).
tcf(c_55076,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4894,c_7276]) ).
tcf(c_55080,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5863,c_7276]) ).
tcf(c_55081,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5919,c_7276]) ).
tcf(c_55082,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5493,c_7276]) ).
tcf(c_55083,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_5983,c_7276]) ).
tcf(c_55084,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5588,c_7276]) ).
tcf(c_55085,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5668,c_7276]) ).
tcf(c_55086,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5764,c_7276]) ).
tcf(c_55091,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_6969,c_7276]) ).
tcf(c_55092,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7187,c_7276]) ).
tcf(c_55093,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6582,c_7276]) ).
tcf(c_55094,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6689,c_7276]) ).
tcf(c_55095,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7222,c_7276]) ).
tcf(c_55096,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6869,c_7276]) ).
tcf(c_55097,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6903,c_7276]) ).
tcf(c_55098,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7625,c_7276]) ).
tcf(c_55099,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7451,c_7276]) ).
tcf(c_55100,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7459,c_7276]) ).
tcf(c_55101,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7729,c_7276]) ).
tcf(c_55102,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7879,c_7276]) ).
tcf(c_55103,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_8971,c_7276]) ).
tcf(c_55104,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8420,c_7276]) ).
tcf(c_55105,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8782,c_7276]) ).
tcf(c_55106,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9272,c_7276]) ).
tcf(c_55107,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9418,c_7276]) ).
tcf(c_55108,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9425,c_7276]) ).
tcf(c_55109,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10156,c_7276]) ).
tcf(c_55110,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11429,c_7276]) ).
tcf(c_55111,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13649,c_7276]) ).
tcf(c_55114,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13750,c_7276]) ).
tcf(c_55117,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13832,c_7276]) ).
tcf(c_55120,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19762,c_7276]) ).
tcf(c_55121,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12426,c_7276]) ).
tcf(c_55122,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20369,c_7276]) ).
tcf(c_55124,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20439,c_7276]) ).
tcf(c_55126,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20856,c_7276]) ).
tcf(c_55128,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19884,c_7276]) ).
tcf(c_55129,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_19973,c_7276]) ).
tcf(c_55130,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20854,c_7276]) ).
tcf(c_55131,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14842,c_7276]) ).
tcf(c_55132,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_14952,c_7276]) ).
tcf(c_55133,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15126,c_7276]) ).
tcf(c_55134,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15231,c_7276]) ).
tcf(c_55135,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15405,c_7276]) ).
tcf(c_55136,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15767,c_7276]) ).
tcf(c_55137,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16401,c_7276]) ).
tcf(c_55138,plain,
sdtasdt0(smndt0(xR),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22161,c_7276]) ).
tcf(c_55139,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16515,c_7276]) ).
tcf(c_55140,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16615,c_7276]) ).
tcf(c_55141,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16940,c_7276]) ).
tcf(c_55142,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17203,c_7276]) ).
tcf(c_55143,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17317,c_7276]) ).
tcf(c_55144,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17414,c_7276]) ).
tcf(c_55145,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17724,c_7276]) ).
tcf(c_55146,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17826,c_7276]) ).
tcf(c_55147,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17923,c_7276]) ).
tcf(c_55148,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18096,c_7276]) ).
tcf(c_55149,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17829,c_7276]) ).
tcf(c_55150,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17830,c_7276]) ).
tcf(c_55151,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18524,c_7276]) ).
tcf(c_55152,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18621,c_7276]) ).
tcf(c_55153,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18721,c_7276]) ).
tcf(c_55154,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18624,c_7276]) ).
tcf(c_55155,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18625,c_7276]) ).
tcf(c_55156,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19099,c_7276]) ).
tcf(c_55157,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19214,c_7276]) ).
tcf(c_55158,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19285,c_7276]) ).
tcf(c_55159,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19404,c_7276]) ).
tcf(c_55160,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19288,c_7276]) ).
tcf(c_55161,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19289,c_7276]) ).
tcf(c_55162,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19882,c_7276]) ).
tcf(c_55163,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19971,c_7276]) ).
tcf(c_55164,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20310,c_7276]) ).
tcf(c_55165,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20312,c_7276]) ).
tcf(c_55166,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20313,c_7276]) ).
tcf(c_55167,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21266,c_7276]) ).
tcf(c_55168,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21380,c_7276]) ).
tcf(c_55169,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21524,c_7276]) ).
tcf(c_55170,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21564,c_7276]) ).
tcf(c_55171,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29027,c_7276]) ).
tcf(c_55172,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30482,c_7276]) ).
tcf(c_55173,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31662,c_7276]) ).
tcf(c_55174,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29030,c_7276]) ).
tcf(c_55175,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29031,c_7276]) ).
tcf(c_55176,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30485,c_7276]) ).
tcf(c_55177,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30486,c_7276]) ).
tcf(c_55178,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31665,c_7276]) ).
tcf(c_55179,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31666,c_7276]) ).
tcf(c_55180,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34851,c_7276]) ).
tcf(c_55181,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34857,c_7276]) ).
tcf(c_55182,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34858,c_7276]) ).
tcf(c_55183,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39283,c_7276]) ).
tcf(c_55184,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39452,c_7276]) ).
tcf(c_55185,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39712,c_7276]) ).
tcf(c_55186,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44215,c_7276]) ).
tcf(c_55187,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44537,c_7276]) ).
tcf(c_55188,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45138,c_7276]) ).
tcf(c_55189,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45189,c_7276]) ).
tcf(c_55190,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50379,c_7276]) ).
tcf(c_55191,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50590,c_7276]) ).
tcf(c_55192,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51067,c_7276]) ).
tcf(c_55193,plain,
sdtasdt0(smndt0(xR),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51606,c_7276]) ).
tcf(c_55797,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(xS,smndt0(smndt0(X0_iProver_smndt0_0)))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_8079]) ).
tcf(c_55798,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_8079]) ).
tcf(c_55799,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xS),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xS,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_8079]) ).
tcf(c_55810,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3604,c_8079]) ).
tcf(c_55811,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3671,c_8079]) ).
tcf(c_55812,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3735,c_8079]) ).
tcf(c_55813,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3782,c_8079]) ).
tcf(c_55814,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8392,c_8079]) ).
tcf(c_55815,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16094,c_8079]) ).
tcf(c_55819,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4622,c_8079]) ).
tcf(c_55820,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4735,c_8079]) ).
tcf(c_55821,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4205,c_8079]) ).
tcf(c_55822,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4280,c_8079]) ).
tcf(c_55823,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4381,c_8079]) ).
tcf(c_55824,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4802,c_8079]) ).
tcf(c_55825,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4478,c_8079]) ).
tcf(c_55826,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4894,c_8079]) ).
tcf(c_55830,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5863,c_8079]) ).
tcf(c_55831,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5919,c_8079]) ).
tcf(c_55832,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5493,c_8079]) ).
tcf(c_55833,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_5983,c_8079]) ).
tcf(c_55834,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5588,c_8079]) ).
tcf(c_55835,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5668,c_8079]) ).
tcf(c_55836,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5764,c_8079]) ).
tcf(c_55841,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_6969,c_8079]) ).
tcf(c_55842,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7187,c_8079]) ).
tcf(c_55843,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6582,c_8079]) ).
tcf(c_55844,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6689,c_8079]) ).
tcf(c_55845,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7222,c_8079]) ).
tcf(c_55846,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6869,c_8079]) ).
tcf(c_55847,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6903,c_8079]) ).
tcf(c_55848,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7625,c_8079]) ).
tcf(c_55849,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7451,c_8079]) ).
tcf(c_55850,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7459,c_8079]) ).
tcf(c_55851,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7729,c_8079]) ).
tcf(c_55852,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7879,c_8079]) ).
tcf(c_55853,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_8971,c_8079]) ).
tcf(c_55854,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8420,c_8079]) ).
tcf(c_55855,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8782,c_8079]) ).
tcf(c_55856,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9272,c_8079]) ).
tcf(c_55857,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9418,c_8079]) ).
tcf(c_55858,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9425,c_8079]) ).
tcf(c_55859,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10156,c_8079]) ).
tcf(c_55860,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11429,c_8079]) ).
tcf(c_55861,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13649,c_8079]) ).
tcf(c_55864,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13750,c_8079]) ).
tcf(c_55867,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13832,c_8079]) ).
tcf(c_55870,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19762,c_8079]) ).
tcf(c_55871,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12426,c_8079]) ).
tcf(c_55872,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20369,c_8079]) ).
tcf(c_55874,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20439,c_8079]) ).
tcf(c_55876,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20856,c_8079]) ).
tcf(c_55878,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19884,c_8079]) ).
tcf(c_55879,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_19973,c_8079]) ).
tcf(c_55880,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20854,c_8079]) ).
tcf(c_55881,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14842,c_8079]) ).
tcf(c_55882,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_14952,c_8079]) ).
tcf(c_55883,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15126,c_8079]) ).
tcf(c_55884,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15231,c_8079]) ).
tcf(c_55885,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15405,c_8079]) ).
tcf(c_55886,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15767,c_8079]) ).
tcf(c_55887,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16401,c_8079]) ).
tcf(c_55888,plain,
sdtasdt0(smndt0(xS),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xS,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22161,c_8079]) ).
tcf(c_55889,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16515,c_8079]) ).
tcf(c_55890,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16615,c_8079]) ).
tcf(c_55891,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16940,c_8079]) ).
tcf(c_55892,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17203,c_8079]) ).
tcf(c_55893,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17317,c_8079]) ).
tcf(c_55894,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17414,c_8079]) ).
tcf(c_55895,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17724,c_8079]) ).
tcf(c_55896,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17826,c_8079]) ).
tcf(c_55897,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17923,c_8079]) ).
tcf(c_55898,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18096,c_8079]) ).
tcf(c_55899,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17829,c_8079]) ).
tcf(c_55900,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17830,c_8079]) ).
tcf(c_55901,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18524,c_8079]) ).
tcf(c_55902,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18621,c_8079]) ).
tcf(c_55903,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18721,c_8079]) ).
tcf(c_55904,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18624,c_8079]) ).
tcf(c_55905,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18625,c_8079]) ).
tcf(c_55906,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19099,c_8079]) ).
tcf(c_55907,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19214,c_8079]) ).
tcf(c_55908,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19285,c_8079]) ).
tcf(c_55909,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19404,c_8079]) ).
tcf(c_55910,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19288,c_8079]) ).
tcf(c_55911,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19289,c_8079]) ).
tcf(c_55912,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19882,c_8079]) ).
tcf(c_55913,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19971,c_8079]) ).
tcf(c_55914,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20310,c_8079]) ).
tcf(c_55915,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20312,c_8079]) ).
tcf(c_55916,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20313,c_8079]) ).
tcf(c_55917,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21266,c_8079]) ).
tcf(c_55918,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21380,c_8079]) ).
tcf(c_55919,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21524,c_8079]) ).
tcf(c_55920,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21564,c_8079]) ).
tcf(c_55921,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29027,c_8079]) ).
tcf(c_55922,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30482,c_8079]) ).
tcf(c_55923,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31662,c_8079]) ).
tcf(c_55924,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29030,c_8079]) ).
tcf(c_55925,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29031,c_8079]) ).
tcf(c_55926,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30485,c_8079]) ).
tcf(c_55927,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30486,c_8079]) ).
tcf(c_55928,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31665,c_8079]) ).
tcf(c_55929,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31666,c_8079]) ).
tcf(c_55930,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34851,c_8079]) ).
tcf(c_55931,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34857,c_8079]) ).
tcf(c_55932,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34858,c_8079]) ).
tcf(c_55933,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39283,c_8079]) ).
tcf(c_55934,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39452,c_8079]) ).
tcf(c_55935,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39712,c_8079]) ).
tcf(c_55936,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44215,c_8079]) ).
tcf(c_55937,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44537,c_8079]) ).
tcf(c_55938,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45138,c_8079]) ).
tcf(c_55939,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45189,c_8079]) ).
tcf(c_55940,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50379,c_8079]) ).
tcf(c_55941,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50590,c_8079]) ).
tcf(c_55942,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51067,c_8079]) ).
tcf(c_55943,plain,
sdtasdt0(smndt0(xS),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xS,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51606,c_8079]) ).
tcf(c_56352,plain,
sdtpldt0(sdtasdt0(smndt0(xR),sz0z00),smndt0(sdtasdt0(xR,sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_54421,c_3944]) ).
tcf(c_56353,plain,
sdtpldt0(smndt0(sdtasdt0(xR,sz0z00)),sdtasdt0(smndt0(xR),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_54421,c_3943]) ).
tcf(c_56356,plain,
smndt0(sdtasdt0(smndt0(xR),sz0z00)) = smndt0(sdtasdt0(xR,sz0z00)),
inference(superposition,[status(thm)],[c_54421,c_3950]) ).
tcf(c_56388,plain,
sdtasdt0(xR,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),xR)),
inference(superposition,[status(thm)],[c_46778,c_17444]) ).
tcf(c_56398,plain,
sdtpldt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)),sdtasdt0(smndt0(xS),sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_46787,c_8807]) ).
tcf(c_56399,plain,
sdtpldt0(sdtasdt0(smndt0(xS),sz0z00),sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sz0z00,
inference(superposition,[status(thm)],[c_46787,c_8806]) ).
tcf(c_56401,plain,
smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))) = sdtasdt0(smndt0(xS),sz0z00),
inference(superposition,[status(thm)],[c_46787,c_8784]) ).
tcf(c_56423,plain,
smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_22403,c_47092]) ).
tcf(c_56424,plain,
smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))) = sdtasdt0(smndt0(xS),xR),
inference(superposition,[status(thm)],[c_17677,c_47092]) ).
tcf(c_56451,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))),sdtasdt0(smndt0(sz0z00),xS)) = sz0z00,
inference(superposition,[status(thm)],[c_47265,c_20625]) ).
tcf(c_56452,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xS),sdtasdt0(sz0z00,smndt0(smndt0(xS)))) = sz0z00,
inference(superposition,[status(thm)],[c_47265,c_20624]) ).
tcf(c_56470,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47412,c_20997]) ).
tcf(c_56471,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,sdtasdt0(xR,xS))) = sz0z00,
inference(superposition,[status(thm)],[c_47412,c_20996]) ).
tcf(c_56514,plain,
sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47421,c_20997]) ).
tcf(c_56515,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,sdtasdt0(xS,xR))) = sz0z00,
inference(superposition,[status(thm)],[c_47421,c_20996]) ).
tcf(c_56538,plain,
sdtpldt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))),sdtasdt0(smndt0(sz0z00),xN)) = sz0z00,
inference(superposition,[status(thm)],[c_47434,c_20997]) ).
tcf(c_56539,plain,
sdtpldt0(sdtasdt0(smndt0(sz0z00),xN),sdtasdt0(sz0z00,smndt0(smndt0(xN)))) = sz0z00,
inference(superposition,[status(thm)],[c_47434,c_20996]) ).
tcf(c_56594,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_47472,c_15798]) ).
tcf(c_56691,plain,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(sdtasdt0(smndt0(xR),xS)),
inference(superposition,[status(thm)],[c_47473,c_18127]) ).
tcf(c_56700,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(smndt0(X0_iProver_smndt0_0))) = smndt0(sdtasdt0(xN,smndt0(smndt0(X0_iProver_smndt0_0)))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_9098]) ).
tcf(c_56701,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_9098]) ).
tcf(c_56702,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(smndt0(xN),smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0))) = smndt0(sdtasdt0(xN,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_9098]) ).
tcf(c_56713,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3604,c_9098]) ).
tcf(c_56714,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3671,c_9098]) ).
tcf(c_56715,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3735,c_9098]) ).
tcf(c_56716,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3782,c_9098]) ).
tcf(c_56717,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8392,c_9098]) ).
tcf(c_56718,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16094,c_9098]) ).
tcf(c_56722,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4622,c_9098]) ).
tcf(c_56723,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4735,c_9098]) ).
tcf(c_56724,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4205,c_9098]) ).
tcf(c_56725,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4280,c_9098]) ).
tcf(c_56726,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4381,c_9098]) ).
tcf(c_56727,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4802,c_9098]) ).
tcf(c_56728,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4478,c_9098]) ).
tcf(c_56729,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xR,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4894,c_9098]) ).
tcf(c_56733,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5863,c_9098]) ).
tcf(c_56734,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5919,c_9098]) ).
tcf(c_56735,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5493,c_9098]) ).
tcf(c_56736,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_5983,c_9098]) ).
tcf(c_56737,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5588,c_9098]) ).
tcf(c_56738,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5668,c_9098]) ).
tcf(c_56739,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5764,c_9098]) ).
tcf(c_56744,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_6969,c_9098]) ).
tcf(c_56745,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7187,c_9098]) ).
tcf(c_56746,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6582,c_9098]) ).
tcf(c_56747,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6689,c_9098]) ).
tcf(c_56748,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7222,c_9098]) ).
tcf(c_56749,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6869,c_9098]) ).
tcf(c_56750,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6903,c_9098]) ).
tcf(c_56751,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xN,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7625,c_9098]) ).
tcf(c_56752,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7451,c_9098]) ).
tcf(c_56753,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7459,c_9098]) ).
tcf(c_56754,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7729,c_9098]) ).
tcf(c_56755,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7879,c_9098]) ).
tcf(c_56756,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_8971,c_9098]) ).
tcf(c_56757,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8420,c_9098]) ).
tcf(c_56758,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8782,c_9098]) ).
tcf(c_56759,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9272,c_9098]) ).
tcf(c_56760,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9418,c_9098]) ).
tcf(c_56761,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9425,c_9098]) ).
tcf(c_56762,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10156,c_9098]) ).
tcf(c_56763,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11429,c_9098]) ).
tcf(c_56764,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13649,c_9098]) ).
tcf(c_56767,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13750,c_9098]) ).
tcf(c_56770,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13832,c_9098]) ).
tcf(c_56773,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19762,c_9098]) ).
tcf(c_56774,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12426,c_9098]) ).
tcf(c_56775,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20369,c_9098]) ).
tcf(c_56777,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20439,c_9098]) ).
tcf(c_56779,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20856,c_9098]) ).
tcf(c_56781,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xR)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19884,c_9098]) ).
tcf(c_56782,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_19973,c_9098]) ).
tcf(c_56783,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(sz0z00,xN)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20854,c_9098]) ).
tcf(c_56784,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14842,c_9098]) ).
tcf(c_56785,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_14952,c_9098]) ).
tcf(c_56786,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15126,c_9098]) ).
tcf(c_56787,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xR),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15231,c_9098]) ).
tcf(c_56788,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15405,c_9098]) ).
tcf(c_56789,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15767,c_9098]) ).
tcf(c_56790,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xS),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16401,c_9098]) ).
tcf(c_56791,plain,
sdtasdt0(smndt0(xN),smndt0(smndt0(sdtasdt0(xS,xS)))) = smndt0(sdtasdt0(xN,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22161,c_9098]) ).
tcf(c_56792,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16515,c_9098]) ).
tcf(c_56793,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16615,c_9098]) ).
tcf(c_56794,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16940,c_9098]) ).
tcf(c_56795,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(xN),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17203,c_9098]) ).
tcf(c_56796,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17317,c_9098]) ).
tcf(c_56797,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17414,c_9098]) ).
tcf(c_56798,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17724,c_9098]) ).
tcf(c_56799,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17826,c_9098]) ).
tcf(c_56800,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17923,c_9098]) ).
tcf(c_56801,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18096,c_9098]) ).
tcf(c_56802,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17829,c_9098]) ).
tcf(c_56803,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xR,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17830,c_9098]) ).
tcf(c_56804,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18524,c_9098]) ).
tcf(c_56805,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18621,c_9098]) ).
tcf(c_56806,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18721,c_9098]) ).
tcf(c_56807,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18624,c_9098]) ).
tcf(c_56808,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xS,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18625,c_9098]) ).
tcf(c_56809,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19099,c_9098]) ).
tcf(c_56810,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19214,c_9098]) ).
tcf(c_56811,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19285,c_9098]) ).
tcf(c_56812,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19404,c_9098]) ).
tcf(c_56813,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19288,c_9098]) ).
tcf(c_56814,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(xN,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19289,c_9098]) ).
tcf(c_56815,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19882,c_9098]) ).
tcf(c_56816,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19971,c_9098]) ).
tcf(c_56817,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN))))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20310,c_9098]) ).
tcf(c_56818,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20312,c_9098]) ).
tcf(c_56819,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20313,c_9098]) ).
tcf(c_56820,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21266,c_9098]) ).
tcf(c_56821,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21380,c_9098]) ).
tcf(c_56822,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21524,c_9098]) ).
tcf(c_56823,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN)))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21564,c_9098]) ).
tcf(c_56824,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29027,c_9098]) ).
tcf(c_56825,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30482,c_9098]) ).
tcf(c_56826,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31662,c_9098]) ).
tcf(c_56827,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29030,c_9098]) ).
tcf(c_56828,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29031,c_9098]) ).
tcf(c_56829,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30485,c_9098]) ).
tcf(c_56830,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30486,c_9098]) ).
tcf(c_56831,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31665,c_9098]) ).
tcf(c_56832,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31666,c_9098]) ).
tcf(c_56833,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34851,c_9098]) ).
tcf(c_56834,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34857,c_9098]) ).
tcf(c_56835,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34858,c_9098]) ).
tcf(c_56836,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39283,c_9098]) ).
tcf(c_56837,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39452,c_9098]) ).
tcf(c_56838,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39712,c_9098]) ).
tcf(c_56839,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44215,c_9098]) ).
tcf(c_56840,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44537,c_9098]) ).
tcf(c_56841,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45138,c_9098]) ).
tcf(c_56842,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45189,c_9098]) ).
tcf(c_56843,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xR))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50379,c_9098]) ).
tcf(c_56844,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xS))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50590,c_9098]) ).
tcf(c_56845,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xS)),xN))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51067,c_9098]) ).
tcf(c_56846,plain,
sdtasdt0(smndt0(xN),smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00))) = smndt0(sdtasdt0(xN,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51606,c_9098]) ).
tcf(c_57486,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(smndt0(smndt0(X0_iProver_smndt0_0)))) = smndt0(sdtasdt0(xR,smndt0(smndt0(X0_iProver_smndt0_0)))) )
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1211,c_9436]) ).
tcf(c_57487,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1212,c_9436]) ).
tcf(c_57488,plain,
! [X0_iProver_smndt0_0: iProver_smndt0_0,X1_iProver_smndt0_0: iProver_smndt0_0] :
( ( sdtasdt0(xR,smndt0(smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) = smndt0(sdtasdt0(xR,smndt0(sdtpldt0(X0_iProver_smndt0_0,X1_iProver_smndt0_0)))) )
| ~ aScalar0(X1_iProver_smndt0_0)
| ~ aScalar0(X0_iProver_smndt0_0) ),
inference(superposition,[status(thm)],[c_1213,c_9436]) ).
tcf(c_57499,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_3604,c_9436]) ).
tcf(c_57500,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_3671,c_9436]) ).
tcf(c_57501,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_3735,c_9436]) ).
tcf(c_57502,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_3782,c_9436]) ).
tcf(c_57503,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xR)))),
inference(superposition,[status(thm)],[c_8392,c_9436]) ).
tcf(c_57504,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16094,c_9436]) ).
tcf(c_57508,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xR))))),
inference(superposition,[status(thm)],[c_4622,c_9436]) ).
tcf(c_57509,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sz0z00))))),
inference(superposition,[status(thm)],[c_4735,c_9436]) ).
tcf(c_57510,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_4205,c_9436]) ).
tcf(c_57511,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xR))))),
inference(superposition,[status(thm)],[c_4280,c_9436]) ).
tcf(c_57512,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xS))))),
inference(superposition,[status(thm)],[c_4381,c_9436]) ).
tcf(c_57513,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_4802,c_9436]) ).
tcf(c_57514,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(xN))))),
inference(superposition,[status(thm)],[c_4478,c_9436]) ).
tcf(c_57515,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xR,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,xN))))),
inference(superposition,[status(thm)],[c_4894,c_9436]) ).
tcf(c_57519,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_5863,c_9436]) ).
tcf(c_57520,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sz0z00))))),
inference(superposition,[status(thm)],[c_5919,c_9436]) ).
tcf(c_57521,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_5493,c_9436]) ).
tcf(c_57522,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xN))))),
inference(superposition,[status(thm)],[c_5983,c_9436]) ).
tcf(c_57523,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xR))))),
inference(superposition,[status(thm)],[c_5588,c_9436]) ).
tcf(c_57524,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xS))))),
inference(superposition,[status(thm)],[c_5668,c_9436]) ).
tcf(c_57525,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(xN))))),
inference(superposition,[status(thm)],[c_5764,c_9436]) ).
tcf(c_57530,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xN))))),
inference(superposition,[status(thm)],[c_6969,c_9436]) ).
tcf(c_57531,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sz0z00))))),
inference(superposition,[status(thm)],[c_7187,c_9436]) ).
tcf(c_57532,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_6582,c_9436]) ).
tcf(c_57533,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xR))))),
inference(superposition,[status(thm)],[c_6689,c_9436]) ).
tcf(c_57534,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xR))))),
inference(superposition,[status(thm)],[c_7222,c_9436]) ).
tcf(c_57535,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xS))))),
inference(superposition,[status(thm)],[c_6869,c_9436]) ).
tcf(c_57536,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(xN))))),
inference(superposition,[status(thm)],[c_6903,c_9436]) ).
tcf(c_57537,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xN,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,xS))))),
inference(superposition,[status(thm)],[c_7625,c_9436]) ).
tcf(c_57538,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xR)))),
inference(superposition,[status(thm)],[c_7451,c_9436]) ).
tcf(c_57539,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xS)))),
inference(superposition,[status(thm)],[c_7459,c_9436]) ).
tcf(c_57540,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),sz0z00)))),
inference(superposition,[status(thm)],[c_7729,c_9436]) ).
tcf(c_57541,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),xN)))),
inference(superposition,[status(thm)],[c_7879,c_9436]) ).
tcf(c_57542,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xS)))),
inference(superposition,[status(thm)],[c_8971,c_9436]) ).
tcf(c_57543,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),xN)))),
inference(superposition,[status(thm)],[c_8420,c_9436]) ).
tcf(c_57544,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),sz0z00)))),
inference(superposition,[status(thm)],[c_8782,c_9436]) ).
tcf(c_57545,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xR)))),
inference(superposition,[status(thm)],[c_9272,c_9436]) ).
tcf(c_57546,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xS)))),
inference(superposition,[status(thm)],[c_9418,c_9436]) ).
tcf(c_57547,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),xN)))),
inference(superposition,[status(thm)],[c_9425,c_9436]) ).
tcf(c_57548,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),sz0z00)))),
inference(superposition,[status(thm)],[c_10156,c_9436]) ).
tcf(c_57549,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_11429,c_9436]) ).
tcf(c_57550,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xR))))),
inference(superposition,[status(thm)],[c_13649,c_9436]) ).
tcf(c_57553,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xS))))),
inference(superposition,[status(thm)],[c_13750,c_9436]) ).
tcf(c_57556,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(xN))))),
inference(superposition,[status(thm)],[c_13832,c_9436]) ).
tcf(c_57559,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sz0z00))))),
inference(superposition,[status(thm)],[c_19762,c_9436]) ).
tcf(c_57560,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),sz0z00)))),
inference(superposition,[status(thm)],[c_12426,c_9436]) ).
tcf(c_57561,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xR)))),
inference(superposition,[status(thm)],[c_20369,c_9436]) ).
tcf(c_57563,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xS)))),
inference(superposition,[status(thm)],[c_20439,c_9436]) ).
tcf(c_57565,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),xN)))),
inference(superposition,[status(thm)],[c_20856,c_9436]) ).
tcf(c_57567,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xR))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xR))))),
inference(superposition,[status(thm)],[c_19884,c_9436]) ).
tcf(c_57568,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xS))))),
inference(superposition,[status(thm)],[c_19973,c_9436]) ).
tcf(c_57569,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(sz0z00,xN))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,xN))))),
inference(superposition,[status(thm)],[c_20854,c_9436]) ).
tcf(c_57570,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_14842,c_9436]) ).
tcf(c_57571,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xR))))),
inference(superposition,[status(thm)],[c_14952,c_9436]) ).
tcf(c_57572,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xS))))),
inference(superposition,[status(thm)],[c_15126,c_9436]) ).
tcf(c_57573,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xR),smndt0(xN))))),
inference(superposition,[status(thm)],[c_15231,c_9436]) ).
tcf(c_57574,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_15405,c_9436]) ).
tcf(c_57575,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xR))))),
inference(superposition,[status(thm)],[c_15767,c_9436]) ).
tcf(c_57576,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xS),smndt0(xN))))),
inference(superposition,[status(thm)],[c_16401,c_9436]) ).
tcf(c_57577,plain,
sdtasdt0(xR,smndt0(smndt0(smndt0(sdtasdt0(xS,xS))))) = smndt0(sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,xS))))),
inference(superposition,[status(thm)],[c_22161,c_9436]) ).
tcf(c_57578,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_16515,c_9436]) ).
tcf(c_57579,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xR))))),
inference(superposition,[status(thm)],[c_16615,c_9436]) ).
tcf(c_57580,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xS))))),
inference(superposition,[status(thm)],[c_16940,c_9436]) ).
tcf(c_57581,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(xN),smndt0(xN))))),
inference(superposition,[status(thm)],[c_17203,c_9436]) ).
tcf(c_57582,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17317,c_9436]) ).
tcf(c_57583,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_17414,c_9436]) ).
tcf(c_57584,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_17724,c_9436]) ).
tcf(c_57585,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_17826,c_9436]) ).
tcf(c_57586,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_17923,c_9436]) ).
tcf(c_57587,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_18096,c_9436]) ).
tcf(c_57588,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_17829,c_9436]) ).
tcf(c_57589,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xR,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_17830,c_9436]) ).
tcf(c_57590,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_18524,c_9436]) ).
tcf(c_57591,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_18621,c_9436]) ).
tcf(c_57592,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_18721,c_9436]) ).
tcf(c_57593,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_18624,c_9436]) ).
tcf(c_57594,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xS,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_18625,c_9436]) ).
tcf(c_57595,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19099,c_9436]) ).
tcf(c_57596,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19214,c_9436]) ).
tcf(c_57597,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_19285,c_9436]) ).
tcf(c_57598,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(sz0z00)))))),
inference(superposition,[status(thm)],[c_19404,c_9436]) ).
tcf(c_57599,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_19288,c_9436]) ).
tcf(c_57600,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(xN,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_19289,c_9436]) ).
tcf(c_57601,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xR)))))),
inference(superposition,[status(thm)],[c_19882,c_9436]) ).
tcf(c_57602,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xS)))))),
inference(superposition,[status(thm)],[c_19971,c_9436]) ).
tcf(c_57603,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,smndt0(smndt0(xN)))))),
inference(superposition,[status(thm)],[c_20310,c_9436]) ).
tcf(c_57604,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xS,xR))))),
inference(superposition,[status(thm)],[c_20312,c_9436]) ).
tcf(c_57605,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sz0z00,sdtasdt0(xR,xS))))),
inference(superposition,[status(thm)],[c_20313,c_9436]) ).
tcf(c_57606,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(sz0z00))))),
inference(superposition,[status(thm)],[c_21266,c_9436]) ).
tcf(c_57607,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xR))))),
inference(superposition,[status(thm)],[c_21380,c_9436]) ).
tcf(c_57608,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xS))))),
inference(superposition,[status(thm)],[c_21524,c_9436]) ).
tcf(c_57609,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(sz0z00),smndt0(xN))))),
inference(superposition,[status(thm)],[c_21564,c_9436]) ).
tcf(c_57610,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xR)))),
inference(superposition,[status(thm)],[c_29027,c_9436]) ).
tcf(c_57611,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xS)))),
inference(superposition,[status(thm)],[c_30482,c_9436]) ).
tcf(c_57612,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),xN)))),
inference(superposition,[status(thm)],[c_31662,c_9436]) ).
tcf(c_57613,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xR)))),
inference(superposition,[status(thm)],[c_29030,c_9436]) ).
tcf(c_57614,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xR)))),
inference(superposition,[status(thm)],[c_29031,c_9436]) ).
tcf(c_57615,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xS)))),
inference(superposition,[status(thm)],[c_30485,c_9436]) ).
tcf(c_57616,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xS)))),
inference(superposition,[status(thm)],[c_30486,c_9436]) ).
tcf(c_57617,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),xN)))),
inference(superposition,[status(thm)],[c_31665,c_9436]) ).
tcf(c_57618,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),xN)))),
inference(superposition,[status(thm)],[c_31666,c_9436]) ).
tcf(c_57619,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xN)),sz0z00)))),
inference(superposition,[status(thm)],[c_34851,c_9436]) ).
tcf(c_57620,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xS,xR),sz0z00)))),
inference(superposition,[status(thm)],[c_34857,c_9436]) ).
tcf(c_57621,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(sdtasdt0(xR,xS),sz0z00)))),
inference(superposition,[status(thm)],[c_34858,c_9436]) ).
tcf(c_57622,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xR)))),
inference(superposition,[status(thm)],[c_39283,c_9436]) ).
tcf(c_57623,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xS)))),
inference(superposition,[status(thm)],[c_39452,c_9436]) ).
tcf(c_57624,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),xN)))),
inference(superposition,[status(thm)],[c_39712,c_9436]) ).
tcf(c_57625,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xR)))),
inference(superposition,[status(thm)],[c_44215,c_9436]) ).
tcf(c_57626,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(sz0z00)),sz0z00)))),
inference(superposition,[status(thm)],[c_44537,c_9436]) ).
tcf(c_57627,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xS)))),
inference(superposition,[status(thm)],[c_45138,c_9436]) ).
tcf(c_57628,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),xN)))),
inference(superposition,[status(thm)],[c_45189,c_9436]) ).
tcf(c_57629,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xR)))),
inference(superposition,[status(thm)],[c_50379,c_9436]) ).
tcf(c_57630,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xS)))),
inference(superposition,[status(thm)],[c_50590,c_9436]) ).
tcf(c_57631,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xS)),xN)))),
inference(superposition,[status(thm)],[c_51067,c_9436]) ).
tcf(c_57632,plain,
sdtasdt0(xR,smndt0(smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))) = smndt0(sdtasdt0(xR,smndt0(sdtasdt0(smndt0(smndt0(xR)),sz0z00)))),
inference(superposition,[status(thm)],[c_51606,c_9436]) ).
tcf(c_89385,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_57632,c_57631,c_57630,c_57629,c_57628,c_57627,c_57626,c_57625,c_57624,c_57623,c_57622,c_57621,c_57620,c_57619,c_57618,c_57617,c_57616,c_57615,c_57614,c_57613,c_57612,c_57611,c_57610,c_57609,c_57608,c_57607,c_57606,c_57605,c_57604,c_57603,c_57602,c_57601,c_57600,c_57599,c_57598,c_57597,c_57596,c_57595,c_57594,c_57593,c_57592,c_57591,c_57590,c_57589,c_57588,c_57587,c_57586,c_57585,c_57584,c_57583,c_57582,c_57581,c_57580,c_57579,c_57578,c_57577,c_57576,c_57575,c_57574,c_57573,c_57572,c_57571,c_57570,c_57569,c_57568,c_57567,c_57565,c_57563,c_57561,c_57560,c_57559,c_57556,c_57553,c_57550,c_57549,c_57548,c_57547,c_57546,c_57545,c_57544,c_57543,c_57542,c_57541,c_57540,c_57539,c_57538,c_57537,c_57536,c_57535,c_57534,c_57533,c_57532,c_57531,c_57530,c_57525,c_57524,c_57523,c_57522,c_57521,c_57520,c_57519,c_57515,c_57514,c_57513,c_57512,c_57511,c_57510,c_57509,c_57508,c_57504,c_57503,c_57502,c_57501,c_57500,c_57499,c_57488,c_57487,c_57486,c_56846,c_56845,c_56844,c_56843,c_56842,c_56841,c_56840,c_56839,c_56838,c_56837,c_56836,c_56835,c_56834,c_56833,c_56832,c_56831,c_56830,c_56829,c_56828,c_56827,c_56826,c_56825,c_56824,c_56823,c_56822,c_56821,c_56820,c_56819,c_56818,c_56817,c_56816,c_56815,c_56814,c_56813,c_56812,c_56811,c_56810,c_56809,c_56808,c_56807,c_56806,c_56805,c_56804,c_56803,c_56802,c_56801,c_56800,c_56799,c_56798,c_56797,c_56796,c_56795,c_56794,c_56793,c_56792,c_56791,c_56790,c_56789,c_56788,c_56787,c_56786,c_56785,c_56784,c_56783,c_56782,c_56781,c_56779,c_56777,c_56775,c_56774,c_56773,c_56770,c_56767,c_56764,c_56763,c_56762,c_56761,c_56760,c_56759,c_56758,c_56757,c_56756,c_56755,c_56754,c_56753,c_56752,c_56751,c_56750,c_56749,c_56748,c_56747,c_56746,c_56745,c_56744,c_56739,c_56738,c_56737,c_56736,c_56735,c_56734,c_56733,c_56729,c_56728,c_56727,c_56726,c_56725,c_56724,c_56723,c_56722,c_56718,c_56717,c_56716,c_56715,c_56714,c_56713,c_56702,c_56701,c_56700,c_56691,c_56594,c_56539,c_56538,c_56515,c_56514,c_56471,c_56470,c_56452,c_56451,c_56424,c_56423,c_56401,c_56399,c_56398,c_56388,c_56356,c_56353,c_56352,c_55943,c_55942,c_55941,c_55940,c_55939,c_55938,c_55937,c_55936,c_55935,c_55934,c_55933,c_55932,c_55931,c_55930,c_55929,c_55928,c_55927,c_55926,c_55925,c_55924,c_55923,c_55922,c_55921,c_55920,c_55919,c_55918,c_55917,c_55916,c_55915,c_55914,c_55913,c_55912,c_55911,c_55910,c_55909,c_55908,c_55907,c_55906,c_55905,c_55904,c_55903,c_55902,c_55901,c_55900,c_55899,c_55898,c_55897,c_55896,c_55895,c_55894,c_55893,c_55892,c_55891,c_55890,c_55889,c_55888,c_55887,c_55886,c_55885,c_55884,c_55883,c_55882,c_55881,c_55880,c_55879,c_55878,c_55876,c_55874,c_55872,c_55871,c_55870,c_55867,c_55864,c_55861,c_55860,c_55859,c_55858,c_55857,c_55856,c_55855,c_55854,c_55853,c_55852,c_55851,c_55850,c_55849,c_55848,c_55847,c_55846,c_55845,c_55844,c_55843,c_55842,c_55841,c_55836,c_55835,c_55834,c_55833,c_55832,c_55831,c_55830,c_55826,c_55825,c_55824,c_55823,c_55822,c_55821,c_55820,c_55819,c_55815,c_55814,c_55813,c_55812,c_55811,c_55810,c_55799,c_55798,c_55797,c_55193,c_55192,c_55191,c_55190,c_55189,c_55188,c_55187,c_55186,c_55185,c_55184,c_55183,c_55182,c_55181,c_55180,c_55179,c_55178,c_55177,c_55176,c_55175,c_55174,c_55173,c_55172,c_55171,c_55170,c_55169,c_55168,c_55167,c_55166,c_55165,c_55164,c_55163,c_55162,c_55161,c_55160,c_55159,c_55158,c_55157,c_55156,c_55155,c_55154,c_55153,c_55152,c_55151,c_55150,c_55149,c_55148,c_55147,c_55146,c_55145,c_55144,c_55143,c_55142,c_55141,c_55140,c_55139,c_55138,c_55137,c_55136,c_55135,c_55134,c_55133,c_55132,c_55131,c_55130,c_55129,c_55128,c_55126,c_55124,c_55122,c_55121,c_55120,c_55117,c_55114,c_55111,c_55110,c_55109,c_55108,c_55107,c_55106,c_55105,c_55104,c_55103,c_55102,c_55101,c_55100,c_55099,c_55098,c_55097,c_55096,c_55095,c_55094,c_55093,c_55092,c_55091,c_55086,c_55085,c_55084,c_55083,c_55082,c_55081,c_55080,c_55076,c_55075,c_55074,c_55073,c_55072,c_55071,c_55070,c_55069,c_55065,c_55064,c_55063,c_55062,c_55061,c_55060,c_55049,c_55048,c_55047,c_54592,c_54591,c_54590,c_54589,c_54588,c_54587,c_54586,c_54585,c_54584,c_54583,c_54582,c_54581,c_54580,c_54579,c_54578,c_54577,c_54576,c_54575,c_54574,c_54573,c_54572,c_54571,c_54570,c_54569,c_54568,c_54567,c_54566,c_54565,c_54564,c_54563,c_54562,c_54561,c_54560,c_54559,c_54558,c_54557,c_54556,c_54555,c_54554,c_54553,c_54552,c_54551,c_54550,c_54549,c_54548,c_54547,c_54546,c_54545,c_54544,c_54543,c_54542,c_54541,c_54540,c_54539,c_54538,c_54537,c_54536,c_54535,c_54534,c_54533,c_54532,c_54531,c_54530,c_54529,c_54528,c_54527,c_54525,c_54523,c_54521,c_54520,c_54519,c_54516,c_54513,c_54510,c_54509,c_54508,c_54507,c_54506,c_54505,c_54504,c_54503,c_54502,c_54501,c_54500,c_54499,c_54498,c_54497,c_54496,c_54495,c_54494,c_54493,c_54492,c_54491,c_54490,c_54485,c_54484,c_54483,c_54482,c_54481,c_54480,c_54479,c_54475,c_54474,c_54473,c_54472,c_54471,c_54470,c_54469,c_54468,c_54464,c_54463,c_54462,c_54461,c_54460,c_54459,c_54448,c_54447,c_54446,c_54436,c_54421,c_54423,c_54418,c_54413,c_54412,c_54375,c_54355,c_54130,c_54129,c_54128,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG062+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 08:01:54 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.33
% 0.04/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.33
% 0.04/0.33 % Detected problem language: tptp
% 0.09/0.34 % Proving...
% 2.78/22.88 % SZS status Started for theBenchmark.p
% 2.78/22.88 % SZS status Theorem for theBenchmark.p
% 2.78/22.88
% 2.78/22.88 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.78/22.88
% 2.78/22.88 % ------ iProver source info
% 2.78/22.88
% 2.78/22.88 % git: date: 2026-07-19 20:42:38 +0200
% 2.78/22.88 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.78/22.88 % git: non_committed_changes: false
% 2.78/22.88
% 2.78/22.88 % ------ Parsing...
% 2.78/22.88 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.78/22.88
% 2.78/22.88 % ------ 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 %
% 2.78/22.88
% 2.78/22.88 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.78/22.88
% 2.78/22.88 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 2.78/22.88 % ------ Proving...
% 2.78/22.88 % ------ Problem Properties
% 2.78/22.88
% 2.78/22.88 %
% 2.78/22.88 % clauses 94
% 2.78/22.88 % conjectures 1
% 2.78/22.88 % EPR 25
% 2.78/22.88 % Horn 82
% 2.78/22.88 % unary 43
% 2.78/22.88 % binary 17
% 2.78/22.88 % lits 226
% 2.78/22.88 % lits eq 73
% 2.78/22.88 % fd_pure 0
% 2.78/22.88 % fd_pseudo 0
% 2.78/22.88 % fd_cond 1
% 2.78/22.88 % fd_pseudo_cond 5
% 2.78/22.88 % AC symbols 0
% 2.78/22.88
% 2.78/22.88 % ------ Input Options Time Limit: Unbounded
% 2.78/22.88
% 2.78/22.88
% 2.78/22.88 % ------
% 2.78/22.88 % Current options:
% 2.78/22.88 % ------
% 2.78/22.88
% 2.78/22.88
% 2.78/22.88 %
% 2.78/22.88
% 2.78/22.88 % ------ Proving...
% 2.78/22.88 %
% 2.78/22.88
% 2.78/22.88 % SZS status Theorem for theBenchmark.p
% 2.78/22.88
% 2.78/22.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 167.10/22.99
% 167.10/22.99
%------------------------------------------------------------------------------